57.837 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.185 * * * [progress]: [2/2] Setting up program. 0.190 * [progress]: [Phase 2 of 3] Improving. 0.190 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.191 * * [simplify]: Extracting # 0 : cost 0 0.191 * * [simplify]: Extracting # 1 : cost 0 0.191 * * [simplify]: Extracting # 2 : cost 0 0.191 * * [simplify]: Extracting # 3 : cost 0 0.191 * * [simplify]: Extracting # 4 : cost 0 0.191 * * [simplify]: Extracting # 5 : cost 0 0.191 * * [simplify]: Extracting # 6 : cost 0 0.191 * * [simplify]: Extracting # 7 : cost 0 0.191 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.197 * * [simplify]: Extracting # 0 : cost 0 0.197 * * [simplify]: Extracting # 1 : cost 0 0.197 * * [simplify]: Extracting # 2 : cost 0 0.197 * * [simplify]: Extracting # 3 : cost 0 0.197 * * [simplify]: Extracting # 4 : cost 0 0.197 * * [simplify]: Extracting # 5 : cost 0 0.198 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.209 * * [simplify]: Extracting # 0 : cost 0 0.210 * * [simplify]: Extracting # 1 : cost 0 0.210 * * [simplify]: Extracting # 2 : cost 0 0.210 * * [simplify]: Extracting # 3 : cost 0 0.210 * * [simplify]: Extracting # 4 : cost 0 0.210 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.236 * * [simplify]: Extracting # 0 : cost 0 0.237 * * [simplify]: Extracting # 1 : cost 0 0.237 * * [simplify]: Extracting # 2 : cost 0 0.237 * * [simplify]: Extracting # 3 : cost 0 0.237 * * [simplify]: Extracting # 4 : cost 0 0.238 * * [simplify]: iteration 3 : 119 enodes (cost 16 ) 0.274 * * [simplify]: Extracting # 0 : cost 0 0.274 * * [simplify]: Extracting # 1 : cost 0 0.274 * * [simplify]: Extracting # 2 : cost 0 0.275 * * [simplify]: Extracting # 3 : cost 0 0.275 * * [simplify]: Extracting # 4 : cost 0 0.275 * * [simplify]: iteration 4 : 313 enodes (cost 16 ) 0.505 * * [simplify]: Extracting # 0 : cost 0 0.506 * * [simplify]: Extracting # 1 : cost 0 0.507 * * [simplify]: Extracting # 2 : cost 0 0.508 * * [simplify]: Extracting # 3 : cost 0 0.509 * * [simplify]: Extracting # 4 : cost 0 0.509 * * [simplify]: iteration 5 : 843 enodes (cost 16 ) 1.967 * * [simplify]: Extracting # 0 : cost 0 1.974 * * [simplify]: Extracting # 1 : cost 0 1.979 * * [simplify]: Extracting # 2 : cost 0 1.983 * * [simplify]: Extracting # 3 : cost 0 1.986 * * [simplify]: Extracting # 4 : cost 0 1.992 * * [simplify]: iteration 6 : 3221 enodes (cost 16 ) 3.573 * * [simplify]: Extracting # 0 : cost 0 3.584 * * [simplify]: Extracting # 1 : cost 0 3.594 * * [simplify]: Extracting # 2 : cost 0 3.603 * * [simplify]: Extracting # 3 : cost 0 3.612 * * [simplify]: Extracting # 4 : cost 0 3.621 * * [simplify]: iteration done: 5001 enodes (cost 16 ) 3.622 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3.622 * * [progress]: iteration 1 / 4 3.622 * * * [progress]: picking best candidate 3.626 * * * * [pick]: Picked # 3.627 * * * [progress]: localizing error 3.666 * * * [progress]: generating rewritten candidates 3.666 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.710 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.722 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 3.759 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.840 * * * [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 3.841 * [backup-simplify]: Simplify PI into PI 3.841 * [backup-simplify]: Simplify (* n PI) into (* n PI) 3.841 * [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))) 3.842 * [backup-simplify]: Simplify (- 0) into 0 3.842 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.842 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.842 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 3.843 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 3.843 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.843 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.843 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.843 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.843 * [taylor]: Taking taylor expansion of 0.5 in n 3.843 * [backup-simplify]: Simplify 0.5 into 0.5 3.843 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.843 * [taylor]: Taking taylor expansion of 1.0 in n 3.843 * [backup-simplify]: Simplify 1.0 into 1.0 3.843 * [taylor]: Taking taylor expansion of k in n 3.843 * [backup-simplify]: Simplify k into k 3.843 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.843 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.843 * [taylor]: Taking taylor expansion of 2.0 in n 3.843 * [backup-simplify]: Simplify 2.0 into 2.0 3.843 * [taylor]: Taking taylor expansion of (* n PI) in n 3.843 * [taylor]: Taking taylor expansion of n in n 3.843 * [backup-simplify]: Simplify 0 into 0 3.843 * [backup-simplify]: Simplify 1 into 1 3.843 * [taylor]: Taking taylor expansion of PI in n 3.843 * [backup-simplify]: Simplify PI into PI 3.843 * [backup-simplify]: Simplify (* 0 PI) into 0 3.843 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.844 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.845 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.846 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.846 * [backup-simplify]: Simplify (- k) into (- k) 3.846 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.846 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.847 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.848 * [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)))) 3.848 * [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))))) 3.848 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.849 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.849 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.849 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.849 * [taylor]: Taking taylor expansion of 0.5 in n 3.849 * [backup-simplify]: Simplify 0.5 into 0.5 3.849 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.849 * [taylor]: Taking taylor expansion of 1.0 in n 3.849 * [backup-simplify]: Simplify 1.0 into 1.0 3.849 * [taylor]: Taking taylor expansion of k in n 3.849 * [backup-simplify]: Simplify k into k 3.849 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.849 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.849 * [taylor]: Taking taylor expansion of 2.0 in n 3.849 * [backup-simplify]: Simplify 2.0 into 2.0 3.849 * [taylor]: Taking taylor expansion of (* n PI) in n 3.849 * [taylor]: Taking taylor expansion of n in n 3.849 * [backup-simplify]: Simplify 0 into 0 3.849 * [backup-simplify]: Simplify 1 into 1 3.849 * [taylor]: Taking taylor expansion of PI in n 3.849 * [backup-simplify]: Simplify PI into PI 3.849 * [backup-simplify]: Simplify (* 0 PI) into 0 3.849 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.850 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.851 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.852 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.852 * [backup-simplify]: Simplify (- k) into (- k) 3.852 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.852 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.853 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.854 * [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))))) 3.855 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.855 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.855 * [taylor]: Taking taylor expansion of 0.5 in k 3.855 * [backup-simplify]: Simplify 0.5 into 0.5 3.855 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.855 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.855 * [taylor]: Taking taylor expansion of 1.0 in k 3.855 * [backup-simplify]: Simplify 1.0 into 1.0 3.855 * [taylor]: Taking taylor expansion of k in k 3.855 * [backup-simplify]: Simplify 0 into 0 3.855 * [backup-simplify]: Simplify 1 into 1 3.855 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.855 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.855 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.855 * [taylor]: Taking taylor expansion of 2.0 in k 3.855 * [backup-simplify]: Simplify 2.0 into 2.0 3.855 * [taylor]: Taking taylor expansion of PI in k 3.855 * [backup-simplify]: Simplify PI into PI 3.856 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.857 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.857 * [taylor]: Taking taylor expansion of (log n) in k 3.857 * [taylor]: Taking taylor expansion of n in k 3.857 * [backup-simplify]: Simplify n into n 3.857 * [backup-simplify]: Simplify (log n) into (log n) 3.857 * [backup-simplify]: Simplify (- 0) into 0 3.858 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.859 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 3.860 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 3.861 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 3.862 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 3.863 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 3.865 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.866 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 3.867 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.868 * [backup-simplify]: Simplify (- 0) into 0 3.868 * [backup-simplify]: Simplify (+ 0 0) into 0 3.869 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 3.870 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.871 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 3.872 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.872 * [taylor]: Taking taylor expansion of 0 in k 3.872 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.874 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.874 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 3.875 * [backup-simplify]: Simplify (+ 0 0) into 0 3.875 * [backup-simplify]: Simplify (- 1) into -1 3.875 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.876 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 3.877 * [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)))) 3.879 * [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)))))) 3.881 * [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)))))) 3.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.883 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 3.885 * [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 3.885 * [backup-simplify]: Simplify (- 0) into 0 3.885 * [backup-simplify]: Simplify (+ 0 0) into 0 3.886 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 3.891 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.892 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 3.893 * [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 3.893 * [taylor]: Taking taylor expansion of 0 in k 3.893 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.896 * [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 3.897 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 3.897 * [backup-simplify]: Simplify (+ 0 0) into 0 3.898 * [backup-simplify]: Simplify (- 0) into 0 3.898 * [backup-simplify]: Simplify (+ 0 0) into 0 3.899 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 3.902 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 3.906 * [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)))))) 3.912 * [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)))))) 3.923 * [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)))))) 3.924 * [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)))) 3.924 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.924 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.925 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.925 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.925 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.925 * [taylor]: Taking taylor expansion of 0.5 in k 3.925 * [backup-simplify]: Simplify 0.5 into 0.5 3.925 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.925 * [taylor]: Taking taylor expansion of 1.0 in k 3.925 * [backup-simplify]: Simplify 1.0 into 1.0 3.925 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.925 * [taylor]: Taking taylor expansion of k in k 3.925 * [backup-simplify]: Simplify 0 into 0 3.925 * [backup-simplify]: Simplify 1 into 1 3.925 * [backup-simplify]: Simplify (/ 1 1) into 1 3.925 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.925 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.926 * [taylor]: Taking taylor expansion of 2.0 in k 3.926 * [backup-simplify]: Simplify 2.0 into 2.0 3.926 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.926 * [taylor]: Taking taylor expansion of PI in k 3.926 * [backup-simplify]: Simplify PI into PI 3.926 * [taylor]: Taking taylor expansion of n in k 3.926 * [backup-simplify]: Simplify n into n 3.926 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.926 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.926 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.926 * [backup-simplify]: Simplify (- 1) into -1 3.927 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.927 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.928 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.928 * [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))))) 3.928 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.928 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.928 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.928 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.928 * [taylor]: Taking taylor expansion of 0.5 in n 3.928 * [backup-simplify]: Simplify 0.5 into 0.5 3.928 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.928 * [taylor]: Taking taylor expansion of 1.0 in n 3.928 * [backup-simplify]: Simplify 1.0 into 1.0 3.928 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.928 * [taylor]: Taking taylor expansion of k in n 3.928 * [backup-simplify]: Simplify k into k 3.929 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.929 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.929 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.929 * [taylor]: Taking taylor expansion of 2.0 in n 3.929 * [backup-simplify]: Simplify 2.0 into 2.0 3.929 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.929 * [taylor]: Taking taylor expansion of PI in n 3.929 * [backup-simplify]: Simplify PI into PI 3.929 * [taylor]: Taking taylor expansion of n in n 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify 1 into 1 3.930 * [backup-simplify]: Simplify (/ PI 1) into PI 3.930 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.931 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.931 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.931 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.932 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.934 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.935 * [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)))) 3.936 * [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))))) 3.936 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.936 * [taylor]: Taking taylor expansion of (exp (* (* 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))) (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 3.937 * [backup-simplify]: Simplify 1.0 into 1.0 3.937 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.937 * [taylor]: Taking taylor expansion of k in n 3.937 * [backup-simplify]: Simplify k into k 3.937 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.937 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.937 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.937 * [taylor]: Taking taylor expansion of 2.0 in n 3.937 * [backup-simplify]: Simplify 2.0 into 2.0 3.937 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.937 * [taylor]: Taking taylor expansion of PI in n 3.937 * [backup-simplify]: Simplify PI into PI 3.937 * [taylor]: Taking taylor expansion of n in n 3.937 * [backup-simplify]: Simplify 0 into 0 3.937 * [backup-simplify]: Simplify 1 into 1 3.938 * [backup-simplify]: Simplify (/ PI 1) into PI 3.938 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.939 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.939 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.939 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.940 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.941 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.942 * [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) 3.946 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.946 * [taylor]: Taking taylor expansion of (log n) in k 3.946 * [taylor]: Taking taylor expansion of n in k 3.946 * [backup-simplify]: Simplify n into n 3.946 * [backup-simplify]: Simplify (log n) into (log n) 3.946 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.946 * [taylor]: Taking taylor expansion of 1.0 in k 3.946 * [backup-simplify]: Simplify 1.0 into 1.0 3.946 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.946 * [taylor]: Taking taylor expansion of k in k 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify 1 into 1 3.947 * [backup-simplify]: Simplify (/ 1 1) into 1 3.947 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 3.948 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 3.948 * [backup-simplify]: Simplify (- 1) into -1 3.949 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.950 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 3.951 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 3.952 * [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))))) 3.954 * [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))))) 3.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.956 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.957 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.958 * [backup-simplify]: Simplify (- 0) into 0 3.958 * [backup-simplify]: Simplify (+ 0 0) into 0 3.959 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 3.960 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.962 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 3.964 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.964 * [taylor]: Taking taylor expansion of 0 in k 3.964 * [backup-simplify]: Simplify 0 into 0 3.964 * [backup-simplify]: Simplify 0 into 0 3.964 * [backup-simplify]: Simplify 0 into 0 3.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.966 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.970 * [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 3.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.971 * [backup-simplify]: Simplify (- 0) into 0 3.972 * [backup-simplify]: Simplify (+ 0 0) into 0 3.972 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 3.974 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.976 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 3.978 * [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 3.979 * [taylor]: Taking taylor expansion of 0 in k 3.979 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify 0 into 0 3.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.981 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.987 * [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 3.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.988 * [backup-simplify]: Simplify (- 0) into 0 3.989 * [backup-simplify]: Simplify (+ 0 0) into 0 3.990 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 3.991 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.994 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 3.997 * [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 3.997 * [taylor]: Taking taylor expansion of 0 in k 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 0 into 0 3.998 * [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)))) 3.999 * [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))) 3.999 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.999 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.000 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.000 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.000 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.000 * [taylor]: Taking taylor expansion of 0.5 in k 4.000 * [backup-simplify]: Simplify 0.5 into 0.5 4.000 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.000 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.000 * [taylor]: Taking taylor expansion of k in k 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 1 into 1 4.000 * [backup-simplify]: Simplify (/ 1 1) into 1 4.001 * [taylor]: Taking taylor expansion of 1.0 in k 4.001 * [backup-simplify]: Simplify 1.0 into 1.0 4.001 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.001 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.001 * [taylor]: Taking taylor expansion of -2.0 in k 4.001 * [backup-simplify]: Simplify -2.0 into -2.0 4.001 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.001 * [taylor]: Taking taylor expansion of PI in k 4.001 * [backup-simplify]: Simplify PI into PI 4.001 * [taylor]: Taking taylor expansion of n in k 4.001 * [backup-simplify]: Simplify n into n 4.001 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.001 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.001 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.002 * [backup-simplify]: Simplify (+ 1 0) into 1 4.002 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.002 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.003 * [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)))))) 4.003 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.003 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.003 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.003 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.003 * [taylor]: Taking taylor expansion of 0.5 in n 4.003 * [backup-simplify]: Simplify 0.5 into 0.5 4.003 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.003 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.003 * [taylor]: Taking taylor expansion of k in n 4.003 * [backup-simplify]: Simplify k into k 4.003 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.003 * [taylor]: Taking taylor expansion of 1.0 in n 4.003 * [backup-simplify]: Simplify 1.0 into 1.0 4.003 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.003 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.003 * [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 4.004 * [backup-simplify]: Simplify (/ PI 1) into PI 4.005 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.006 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.006 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.006 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.008 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.009 * [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)))) 4.010 * [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))))) 4.010 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.010 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.010 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.010 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.010 * [taylor]: Taking taylor expansion of 0.5 in n 4.010 * [backup-simplify]: Simplify 0.5 into 0.5 4.010 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.010 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.011 * [taylor]: Taking taylor expansion of k in n 4.011 * [backup-simplify]: Simplify k into k 4.011 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.011 * [taylor]: Taking taylor expansion of 1.0 in n 4.011 * [backup-simplify]: Simplify 1.0 into 1.0 4.011 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.011 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.011 * [taylor]: Taking taylor expansion of -2.0 in n 4.011 * [backup-simplify]: Simplify -2.0 into -2.0 4.011 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.011 * [taylor]: Taking taylor expansion of PI in n 4.011 * [backup-simplify]: Simplify PI into PI 4.011 * [taylor]: Taking taylor expansion of n in n 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 1 into 1 4.012 * [backup-simplify]: Simplify (/ PI 1) into PI 4.012 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.013 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.013 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.013 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.015 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.016 * [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)))) 4.017 * [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))))) 4.017 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.018 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.018 * [taylor]: Taking taylor expansion of 0.5 in k 4.018 * [backup-simplify]: Simplify 0.5 into 0.5 4.018 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.018 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.018 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.018 * [taylor]: Taking taylor expansion of k in k 4.018 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify 1 into 1 4.018 * [backup-simplify]: Simplify (/ 1 1) into 1 4.018 * [taylor]: Taking taylor expansion of 1.0 in k 4.018 * [backup-simplify]: Simplify 1.0 into 1.0 4.018 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.018 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.018 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.018 * [taylor]: Taking taylor expansion of -2.0 in k 4.018 * [backup-simplify]: Simplify -2.0 into -2.0 4.018 * [taylor]: Taking taylor expansion of PI in k 4.018 * [backup-simplify]: Simplify PI into PI 4.019 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.020 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.020 * [taylor]: Taking taylor expansion of (log n) in k 4.020 * [taylor]: Taking taylor expansion of n in k 4.020 * [backup-simplify]: Simplify n into n 4.020 * [backup-simplify]: Simplify (log n) into (log n) 4.021 * [backup-simplify]: Simplify (+ 1 0) into 1 4.021 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.022 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 4.023 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 4.024 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 4.025 * [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))))) 4.026 * [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))))) 4.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.028 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.030 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.031 * [backup-simplify]: Simplify (+ 0 0) into 0 4.031 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.033 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.034 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.036 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.036 * [taylor]: Taking taylor expansion of 0 in k 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.038 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.046 * [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 4.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.047 * [backup-simplify]: Simplify (+ 0 0) into 0 4.048 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 4.050 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.051 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 4.054 * [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 4.055 * [taylor]: Taking taylor expansion of 0 in k 4.055 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.057 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.063 * [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 4.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.064 * [backup-simplify]: Simplify (+ 0 0) into 0 4.066 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 4.067 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.069 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 4.072 * [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 4.072 * [taylor]: Taking taylor expansion of 0 in k 4.072 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify 0 into 0 4.074 * [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)))))) 4.074 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.074 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 4.074 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.074 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.074 * [taylor]: Taking taylor expansion of 1.0 in k 4.074 * [backup-simplify]: Simplify 1.0 into 1.0 4.074 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.074 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.074 * [taylor]: Taking taylor expansion of k in k 4.074 * [backup-simplify]: Simplify 0 into 0 4.074 * [backup-simplify]: Simplify 1 into 1 4.075 * [backup-simplify]: Simplify (/ 1 1) into 1 4.075 * [backup-simplify]: Simplify (sqrt 0) into 0 4.077 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.077 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.077 * [taylor]: Taking taylor expansion of 1.0 in k 4.077 * [backup-simplify]: Simplify 1.0 into 1.0 4.077 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.077 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.077 * [taylor]: Taking taylor expansion of k in k 4.077 * [backup-simplify]: Simplify 0 into 0 4.077 * [backup-simplify]: Simplify 1 into 1 4.078 * [backup-simplify]: Simplify (/ 1 1) into 1 4.078 * [backup-simplify]: Simplify (sqrt 0) into 0 4.079 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.080 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.080 * [backup-simplify]: Simplify 0 into 0 4.081 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.082 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.086 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.088 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.089 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.096 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.096 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.098 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 4.098 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 4.098 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.098 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.098 * [taylor]: Taking taylor expansion of 1.0 in k 4.098 * [backup-simplify]: Simplify 1.0 into 1.0 4.098 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.098 * [taylor]: Taking taylor expansion of k in k 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify 1 into 1 4.099 * [backup-simplify]: Simplify (sqrt 0) into 0 4.100 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.100 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.100 * [taylor]: Taking taylor expansion of 1.0 in k 4.100 * [backup-simplify]: Simplify 1.0 into 1.0 4.100 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.100 * [taylor]: Taking taylor expansion of k in k 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 1 into 1 4.101 * [backup-simplify]: Simplify (sqrt 0) into 0 4.102 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.102 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.104 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.108 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.110 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.110 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.114 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.117 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.117 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.119 * [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)))))))) 4.119 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 4.119 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.119 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.119 * [taylor]: Taking taylor expansion of 1.0 in k 4.119 * [backup-simplify]: Simplify 1.0 into 1.0 4.119 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.119 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.119 * [taylor]: Taking taylor expansion of -1 in k 4.119 * [backup-simplify]: Simplify -1 into -1 4.119 * [taylor]: Taking taylor expansion of k in k 4.119 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify 1 into 1 4.120 * [backup-simplify]: Simplify (/ -1 1) into -1 4.120 * [backup-simplify]: Simplify (sqrt 0) into 0 4.122 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.122 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.122 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.122 * [taylor]: Taking taylor expansion of 1.0 in k 4.122 * [backup-simplify]: Simplify 1.0 into 1.0 4.122 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.122 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.122 * [taylor]: Taking taylor expansion of -1 in k 4.122 * [backup-simplify]: Simplify -1 into -1 4.122 * [taylor]: Taking taylor expansion of k in k 4.122 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify 1 into 1 4.123 * [backup-simplify]: Simplify (/ -1 1) into -1 4.123 * [backup-simplify]: Simplify (sqrt 0) into 0 4.124 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.125 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.125 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.129 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.131 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 4.131 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.136 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 4.137 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.137 * [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))))) 4.137 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 4.138 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.138 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.138 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) 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 (* n PI) in n 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 4.138 * [taylor]: Taking taylor expansion of PI in n 4.138 * [backup-simplify]: Simplify PI into PI 4.138 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) 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 (* n PI) in n 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 4.138 * [taylor]: Taking taylor expansion of PI in n 4.138 * [backup-simplify]: Simplify PI into PI 4.138 * [backup-simplify]: Simplify (* 0 PI) into 0 4.139 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.139 * [backup-simplify]: Simplify 0 into 0 4.140 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.141 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.141 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.142 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.142 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.144 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.144 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.145 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 4.145 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.147 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 4.147 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.149 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 4.149 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 4.151 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.152 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 4.152 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.152 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.152 * [taylor]: Taking taylor expansion of 2.0 in n 4.152 * [backup-simplify]: Simplify 2.0 into 2.0 4.152 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.152 * [taylor]: Taking taylor expansion of PI in n 4.152 * [backup-simplify]: Simplify PI into PI 4.152 * [taylor]: Taking taylor expansion of n in n 4.152 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify 1 into 1 4.152 * [backup-simplify]: Simplify (/ PI 1) into PI 4.152 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.152 * [taylor]: Taking taylor expansion of 2.0 in n 4.152 * [backup-simplify]: Simplify 2.0 into 2.0 4.152 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.152 * [taylor]: Taking taylor expansion of PI in n 4.152 * [backup-simplify]: Simplify PI into PI 4.152 * [taylor]: Taking taylor expansion of n in n 4.152 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify 1 into 1 4.153 * [backup-simplify]: Simplify (/ PI 1) into PI 4.153 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.153 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.154 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.154 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.156 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.156 * [backup-simplify]: Simplify 0 into 0 4.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.157 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.157 * [backup-simplify]: Simplify 0 into 0 4.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.158 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.161 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.161 * [backup-simplify]: Simplify 0 into 0 4.163 * [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 4.164 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.164 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 4.166 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 4.166 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.166 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.166 * [taylor]: Taking taylor expansion of -2.0 in n 4.166 * [backup-simplify]: Simplify -2.0 into -2.0 4.166 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.166 * [taylor]: Taking taylor expansion of PI in n 4.166 * [backup-simplify]: Simplify PI into PI 4.166 * [taylor]: Taking taylor expansion of n in n 4.166 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify 1 into 1 4.167 * [backup-simplify]: Simplify (/ PI 1) into PI 4.167 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.167 * [taylor]: Taking taylor expansion of -2.0 in n 4.167 * [backup-simplify]: Simplify -2.0 into -2.0 4.167 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.167 * [taylor]: Taking taylor expansion of PI in n 4.167 * [backup-simplify]: Simplify PI into PI 4.167 * [taylor]: Taking taylor expansion of n in n 4.167 * [backup-simplify]: Simplify 0 into 0 4.167 * [backup-simplify]: Simplify 1 into 1 4.168 * [backup-simplify]: Simplify (/ PI 1) into PI 4.168 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.169 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.170 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.170 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.172 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.173 * [backup-simplify]: Simplify 0 into 0 4.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.179 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.179 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.182 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.182 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.185 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.185 * [backup-simplify]: Simplify 0 into 0 4.186 * [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 4.188 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.188 * [backup-simplify]: Simplify 0 into 0 4.189 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 4.189 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.190 * [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))))) 4.190 * [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 4.190 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 4.190 * [taylor]: Taking taylor expansion of 1.0 in n 4.190 * [backup-simplify]: Simplify 1.0 into 1.0 4.190 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 4.190 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.190 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.190 * [taylor]: Taking taylor expansion of k in n 4.190 * [backup-simplify]: Simplify k into k 4.190 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.190 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 4.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 4.190 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.190 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.190 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.190 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.190 * [taylor]: Taking taylor expansion of 0.5 in n 4.190 * [backup-simplify]: Simplify 0.5 into 0.5 4.190 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.190 * [taylor]: Taking taylor expansion of 1.0 in n 4.190 * [backup-simplify]: Simplify 1.0 into 1.0 4.190 * [taylor]: Taking taylor expansion of k in n 4.191 * [backup-simplify]: Simplify k into k 4.191 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.191 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.191 * [taylor]: Taking taylor expansion of 2.0 in n 4.191 * [backup-simplify]: Simplify 2.0 into 2.0 4.191 * [taylor]: Taking taylor expansion of (* n PI) in n 4.191 * [taylor]: Taking taylor expansion of n in n 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify 1 into 1 4.191 * [taylor]: Taking taylor expansion of PI in n 4.191 * [backup-simplify]: Simplify PI into PI 4.191 * [backup-simplify]: Simplify (* 0 PI) into 0 4.192 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.193 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.195 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.195 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.196 * [backup-simplify]: Simplify (- k) into (- k) 4.196 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.196 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.197 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.197 * [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)))) 4.198 * [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))))) 4.198 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.198 * [taylor]: Taking taylor expansion of 1.0 in k 4.198 * [backup-simplify]: Simplify 1.0 into 1.0 4.198 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.198 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.198 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.198 * [taylor]: Taking taylor expansion of k in k 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 1 into 1 4.199 * [backup-simplify]: Simplify (/ 1 1) into 1 4.199 * [backup-simplify]: Simplify (sqrt 0) into 0 4.200 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.200 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.200 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.200 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.200 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.200 * [taylor]: Taking taylor expansion of 0.5 in k 4.200 * [backup-simplify]: Simplify 0.5 into 0.5 4.200 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.200 * [taylor]: Taking taylor expansion of 1.0 in k 4.200 * [backup-simplify]: Simplify 1.0 into 1.0 4.200 * [taylor]: Taking taylor expansion of k in k 4.200 * [backup-simplify]: Simplify 0 into 0 4.200 * [backup-simplify]: Simplify 1 into 1 4.200 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.200 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.200 * [taylor]: Taking taylor expansion of 2.0 in k 4.200 * [backup-simplify]: Simplify 2.0 into 2.0 4.200 * [taylor]: Taking taylor expansion of (* n PI) in k 4.200 * [taylor]: Taking taylor expansion of n in k 4.200 * [backup-simplify]: Simplify n into n 4.200 * [taylor]: Taking taylor expansion of PI in k 4.200 * [backup-simplify]: Simplify PI into PI 4.200 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.200 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.200 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.201 * [backup-simplify]: Simplify (- 0) into 0 4.201 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.201 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.201 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.201 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.201 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.201 * [taylor]: Taking taylor expansion of 1.0 in k 4.201 * [backup-simplify]: Simplify 1.0 into 1.0 4.201 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.201 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.202 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.202 * [taylor]: Taking taylor expansion of k in k 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 1 into 1 4.202 * [backup-simplify]: Simplify (/ 1 1) into 1 4.202 * [backup-simplify]: Simplify (sqrt 0) into 0 4.203 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.203 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.203 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.203 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.203 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.203 * [taylor]: Taking taylor expansion of 0.5 in k 4.203 * [backup-simplify]: Simplify 0.5 into 0.5 4.203 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.203 * [taylor]: Taking taylor expansion of 1.0 in k 4.203 * [backup-simplify]: Simplify 1.0 into 1.0 4.203 * [taylor]: Taking taylor expansion of k in k 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify 1 into 1 4.203 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.203 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.203 * [taylor]: Taking taylor expansion of 2.0 in k 4.203 * [backup-simplify]: Simplify 2.0 into 2.0 4.203 * [taylor]: Taking taylor expansion of (* n PI) in k 4.203 * [taylor]: Taking taylor expansion of n in k 4.203 * [backup-simplify]: Simplify n into n 4.203 * [taylor]: Taking taylor expansion of PI in k 4.203 * [backup-simplify]: Simplify PI into PI 4.203 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.203 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.203 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.204 * [backup-simplify]: Simplify (- 0) into 0 4.204 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.204 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.204 * [backup-simplify]: Simplify (* 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))))) into (pow (* 2.0 (* n PI)) 0.5) 4.205 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 4.205 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.205 * [taylor]: Taking taylor expansion of 0 in n 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 4.206 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 4.206 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 4.207 * [backup-simplify]: Simplify (- 1) into -1 4.207 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.208 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.208 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 4.209 * [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))) 4.210 * [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))) 4.211 * [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))) 4.211 * [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 4.211 * [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 4.211 * [taylor]: Taking taylor expansion of +nan.0 in n 4.211 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.211 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.211 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.211 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.211 * [taylor]: Taking taylor expansion of 0.5 in n 4.211 * [backup-simplify]: Simplify 0.5 into 0.5 4.211 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.211 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.211 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.211 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.211 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.211 * [taylor]: Taking taylor expansion of 1.0 in n 4.211 * [backup-simplify]: Simplify 1.0 into 1.0 4.211 * [taylor]: Taking taylor expansion of (log PI) in n 4.211 * [taylor]: Taking taylor expansion of PI in n 4.211 * [backup-simplify]: Simplify PI into PI 4.212 * [backup-simplify]: Simplify (log PI) into (log PI) 4.212 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.213 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.213 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.213 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.213 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.213 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) 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 n) in n 4.213 * [taylor]: Taking taylor expansion of n in n 4.213 * [backup-simplify]: Simplify 0 into 0 4.213 * [backup-simplify]: Simplify 1 into 1 4.214 * [backup-simplify]: Simplify (log 1) into 0 4.214 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.214 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.214 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.214 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.214 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.214 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.214 * [taylor]: Taking taylor expansion of 1.0 in n 4.214 * [backup-simplify]: Simplify 1.0 into 1.0 4.214 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.214 * [taylor]: Taking taylor expansion of 2.0 in n 4.214 * [backup-simplify]: Simplify 2.0 into 2.0 4.215 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.215 * [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) 4.217 * [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))) 4.223 * [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))) 4.223 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 4.225 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 4.227 * [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 4.227 * [backup-simplify]: Simplify (- 0) into 0 4.228 * [backup-simplify]: Simplify (+ 0 0) into 0 4.229 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.230 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 4.231 * [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))) 4.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.235 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.239 * [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)))))))) 4.244 * [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)))))))) 4.244 * [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 4.244 * [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 4.244 * [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 4.244 * [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 PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.244 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.245 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.245 * [taylor]: Taking taylor expansion of 0.5 in n 4.245 * [backup-simplify]: Simplify 0.5 into 0.5 4.245 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.245 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.245 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.245 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.245 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.245 * [taylor]: Taking taylor expansion of 1.0 in n 4.245 * [backup-simplify]: Simplify 1.0 into 1.0 4.245 * [taylor]: Taking taylor expansion of (log PI) in n 4.245 * [taylor]: Taking taylor expansion of PI in n 4.245 * [backup-simplify]: Simplify PI into PI 4.245 * [backup-simplify]: Simplify (log PI) into (log PI) 4.246 * [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) (pow 2.0 1.0)) in n 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)) 4.250 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.250 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.250 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.250 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.250 * [taylor]: Taking taylor expansion of 1.0 in n 4.250 * [backup-simplify]: Simplify 1.0 into 1.0 4.250 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.250 * [taylor]: Taking taylor expansion of 2.0 in n 4.250 * [backup-simplify]: Simplify 2.0 into 2.0 4.250 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.251 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.253 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.254 * [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) 4.255 * [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) 4.257 * [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)) 4.258 * [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))) 4.259 * [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) 4.260 * [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 4.260 * [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 4.260 * [taylor]: Taking taylor expansion of +nan.0 in n 4.260 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.260 * [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 4.260 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.260 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.260 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.260 * [taylor]: Taking taylor expansion of 0.5 in n 4.260 * [backup-simplify]: Simplify 0.5 into 0.5 4.260 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.260 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.260 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.260 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.260 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.260 * [taylor]: Taking taylor expansion of 1.0 in n 4.260 * [backup-simplify]: Simplify 1.0 into 1.0 4.260 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.260 * [taylor]: Taking taylor expansion of 2.0 in n 4.260 * [backup-simplify]: Simplify 2.0 into 2.0 4.261 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.262 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.263 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.263 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.263 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.263 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.264 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.264 * [taylor]: Taking taylor expansion of 1.0 in n 4.264 * [backup-simplify]: Simplify 1.0 into 1.0 4.264 * [taylor]: Taking taylor expansion of (log PI) in n 4.264 * [taylor]: Taking taylor expansion of PI in n 4.264 * [backup-simplify]: Simplify PI into PI 4.264 * [backup-simplify]: Simplify (log PI) into (log PI) 4.265 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.267 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.267 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.267 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.267 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.267 * [taylor]: Taking taylor expansion of 1.0 in n 4.267 * [backup-simplify]: Simplify 1.0 into 1.0 4.267 * [taylor]: Taking taylor expansion of (log n) in n 4.267 * [taylor]: Taking taylor expansion of n in n 4.267 * [backup-simplify]: Simplify 0 into 0 4.267 * [backup-simplify]: Simplify 1 into 1 4.267 * [backup-simplify]: Simplify (log 1) into 0 4.267 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.267 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.268 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.268 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.269 * [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) 4.270 * [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)) 4.270 * [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))) 4.271 * [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) 4.271 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.271 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.271 * [taylor]: Taking taylor expansion of 2.0 in n 4.271 * [backup-simplify]: Simplify 2.0 into 2.0 4.271 * [taylor]: Taking taylor expansion of (* n PI) in n 4.271 * [taylor]: Taking taylor expansion of n in n 4.271 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify 1 into 1 4.271 * [taylor]: Taking taylor expansion of PI in n 4.271 * [backup-simplify]: Simplify PI into PI 4.272 * [backup-simplify]: Simplify (* 0 PI) into 0 4.272 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.273 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.274 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.275 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.275 * [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)) 4.276 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.278 * [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)) 4.279 * [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))) 4.281 * [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)))))) 4.285 * [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)))))))) 4.288 * [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)))))))) 4.292 * [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)))))))) 4.293 * [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 4.294 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 4.295 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.295 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.296 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 4.296 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 4.301 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 4.303 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.304 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 4.305 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 4.307 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 4.309 * [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 4.311 * [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 4.314 * [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 4.316 * [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 4.316 * [backup-simplify]: Simplify (- 0) into 0 4.316 * [backup-simplify]: Simplify 0 into 0 4.316 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.318 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 4.321 * [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 4.322 * [backup-simplify]: Simplify (- 0) into 0 4.322 * [backup-simplify]: Simplify (+ 0 0) into 0 4.324 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 4.325 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 4.327 * [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))) 4.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.332 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.338 * [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)))))))) 4.350 * [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)))))))) 4.350 * [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 4.350 * [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 4.350 * [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 4.350 * [taylor]: Taking taylor expansion of +nan.0 in n 4.350 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.351 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.351 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.351 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.351 * [taylor]: Taking taylor expansion of 0.5 in n 4.351 * [backup-simplify]: Simplify 0.5 into 0.5 4.351 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.351 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.351 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.351 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.351 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.351 * [taylor]: Taking taylor expansion of 1.0 in n 4.351 * [backup-simplify]: Simplify 1.0 into 1.0 4.351 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.351 * [taylor]: Taking taylor expansion of 2.0 in n 4.351 * [backup-simplify]: Simplify 2.0 into 2.0 4.351 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.352 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.354 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.354 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.354 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.354 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.354 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.354 * [taylor]: Taking taylor expansion of 1.0 in n 4.354 * [backup-simplify]: Simplify 1.0 into 1.0 4.354 * [taylor]: Taking taylor expansion of (log n) in n 4.354 * [taylor]: Taking taylor expansion of n in n 4.354 * [backup-simplify]: Simplify 0 into 0 4.354 * [backup-simplify]: Simplify 1 into 1 4.354 * [backup-simplify]: Simplify (log 1) into 0 4.355 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.355 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.355 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.355 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.355 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.355 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.355 * [taylor]: Taking taylor expansion of 1.0 in n 4.355 * [backup-simplify]: Simplify 1.0 into 1.0 4.355 * [taylor]: Taking taylor expansion of (log PI) in n 4.355 * [taylor]: Taking taylor expansion of PI in n 4.355 * [backup-simplify]: Simplify PI into PI 4.356 * [backup-simplify]: Simplify (log PI) into (log PI) 4.357 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.358 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.359 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.361 * [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) 4.362 * [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)) 4.363 * [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))) 4.365 * [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) 4.365 * [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 4.365 * [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 4.365 * [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 4.365 * [taylor]: Taking taylor expansion of +nan.0 in n 4.365 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.365 * [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 4.365 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.365 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.365 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.365 * [taylor]: Taking taylor expansion of 0.5 in n 4.365 * [backup-simplify]: Simplify 0.5 into 0.5 4.365 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.365 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.365 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.366 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.366 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.366 * [taylor]: Taking taylor expansion of 1.0 in n 4.366 * [backup-simplify]: Simplify 1.0 into 1.0 4.366 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.366 * [taylor]: Taking taylor expansion of 2.0 in n 4.366 * [backup-simplify]: Simplify 2.0 into 2.0 4.366 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.367 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.368 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.368 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.368 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.368 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.368 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.368 * [taylor]: Taking taylor expansion of 1.0 in n 4.368 * [backup-simplify]: Simplify 1.0 into 1.0 4.368 * [taylor]: Taking taylor expansion of (log PI) in n 4.368 * [taylor]: Taking taylor expansion of PI in n 4.368 * [backup-simplify]: Simplify PI into PI 4.368 * [backup-simplify]: Simplify (log PI) into (log PI) 4.369 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.370 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.370 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.370 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.370 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.370 * [taylor]: Taking taylor expansion of 1.0 in n 4.370 * [backup-simplify]: Simplify 1.0 into 1.0 4.370 * [taylor]: Taking taylor expansion of (log n) in n 4.370 * [taylor]: Taking taylor expansion of n in n 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify 1 into 1 4.371 * [backup-simplify]: Simplify (log 1) into 0 4.371 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.371 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.371 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.371 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.372 * [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) 4.373 * [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)) 4.374 * [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))) 4.375 * [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) 4.375 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.375 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.375 * [taylor]: Taking taylor expansion of 2.0 in n 4.375 * [backup-simplify]: Simplify 2.0 into 2.0 4.375 * [taylor]: Taking taylor expansion of (* n PI) in n 4.375 * [taylor]: Taking taylor expansion of n in n 4.375 * [backup-simplify]: Simplify 0 into 0 4.375 * [backup-simplify]: Simplify 1 into 1 4.375 * [taylor]: Taking taylor expansion of PI in n 4.375 * [backup-simplify]: Simplify PI into PI 4.375 * [backup-simplify]: Simplify (* 0 PI) into 0 4.376 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.377 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.378 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.378 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.378 * [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 4.378 * [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 4.378 * [taylor]: Taking taylor expansion of +nan.0 in n 4.378 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.378 * [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 4.378 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.378 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.378 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.378 * [taylor]: Taking taylor expansion of 0.5 in n 4.378 * [backup-simplify]: Simplify 0.5 into 0.5 4.378 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.378 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.378 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.378 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.378 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.379 * [taylor]: Taking taylor expansion of 1.0 in n 4.379 * [backup-simplify]: Simplify 1.0 into 1.0 4.379 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.379 * [taylor]: Taking taylor expansion of 2.0 in n 4.379 * [backup-simplify]: Simplify 2.0 into 2.0 4.379 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.379 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.380 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.380 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.380 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.380 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.380 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.380 * [taylor]: Taking taylor expansion of 1.0 in n 4.380 * [backup-simplify]: Simplify 1.0 into 1.0 4.381 * [taylor]: Taking taylor expansion of (log PI) in n 4.381 * [taylor]: Taking taylor expansion of PI in n 4.381 * [backup-simplify]: Simplify PI into PI 4.381 * [backup-simplify]: Simplify (log PI) into (log PI) 4.381 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.382 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.382 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.382 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.382 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.383 * [taylor]: Taking taylor expansion of 1.0 in n 4.383 * [backup-simplify]: Simplify 1.0 into 1.0 4.383 * [taylor]: Taking taylor expansion of (log n) in n 4.383 * [taylor]: Taking taylor expansion of n in n 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify 1 into 1 4.383 * [backup-simplify]: Simplify (log 1) into 0 4.383 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.383 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.383 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.384 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.384 * [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) 4.385 * [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)) 4.386 * [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))) 4.388 * [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) 4.388 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 4.388 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.388 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.388 * [taylor]: Taking taylor expansion of 2.0 in n 4.388 * [backup-simplify]: Simplify 2.0 into 2.0 4.388 * [taylor]: Taking taylor expansion of (* n PI) in n 4.388 * [taylor]: Taking taylor expansion of n in n 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify 1 into 1 4.388 * [taylor]: Taking taylor expansion of PI in n 4.388 * [backup-simplify]: Simplify PI into PI 4.388 * [backup-simplify]: Simplify (* 0 PI) into 0 4.389 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.390 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.392 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.393 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.395 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.396 * [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)) 4.398 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.401 * [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)) 4.403 * [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))) 4.405 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.407 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.409 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 4.411 * [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)) 4.413 * [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))) 4.415 * [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)))))))) 4.422 * [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)))))))))))) 4.431 * [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)))))))))))) 4.444 * [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)))))))))))))) 4.461 * [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)))))))))))))) 4.479 * [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)))))))))))))) 4.505 * [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)))))))))))))))))))))) 4.506 * [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)))))) 4.506 * [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 4.506 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.506 * [taylor]: Taking taylor expansion of 1.0 in n 4.506 * [backup-simplify]: Simplify 1.0 into 1.0 4.506 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.506 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.506 * [taylor]: Taking taylor expansion of k in n 4.506 * [backup-simplify]: Simplify k into k 4.506 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 4.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 4.506 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.506 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.506 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.506 * [taylor]: Taking taylor expansion of (* 0.5 (- 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 4.507 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.507 * [taylor]: Taking taylor expansion of 1.0 in n 4.507 * [backup-simplify]: Simplify 1.0 into 1.0 4.507 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.507 * [taylor]: Taking taylor expansion of k in n 4.507 * [backup-simplify]: Simplify k into k 4.507 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.507 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.507 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.507 * [taylor]: Taking taylor expansion of 2.0 in n 4.507 * [backup-simplify]: Simplify 2.0 into 2.0 4.507 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.507 * [taylor]: Taking taylor expansion of PI in n 4.507 * [backup-simplify]: Simplify PI into PI 4.507 * [taylor]: Taking taylor expansion of n in n 4.507 * [backup-simplify]: Simplify 0 into 0 4.507 * [backup-simplify]: Simplify 1 into 1 4.507 * [backup-simplify]: Simplify (/ PI 1) into PI 4.508 * [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 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.508 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.508 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.509 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.510 * [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)))) 4.511 * [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))))) 4.511 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.511 * [taylor]: Taking taylor expansion of 1.0 in k 4.511 * [backup-simplify]: Simplify 1.0 into 1.0 4.511 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.511 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.511 * [taylor]: Taking taylor expansion of k in k 4.511 * [backup-simplify]: Simplify 0 into 0 4.511 * [backup-simplify]: Simplify 1 into 1 4.511 * [backup-simplify]: Simplify (sqrt 0) into 0 4.512 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.512 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.512 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.512 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.512 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.512 * [taylor]: Taking taylor expansion of 0.5 in k 4.512 * [backup-simplify]: Simplify 0.5 into 0.5 4.512 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.512 * [taylor]: Taking taylor expansion of 1.0 in k 4.512 * [backup-simplify]: Simplify 1.0 into 1.0 4.512 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.512 * [taylor]: Taking taylor expansion of k in k 4.512 * [backup-simplify]: Simplify 0 into 0 4.513 * [backup-simplify]: Simplify 1 into 1 4.513 * [backup-simplify]: Simplify (/ 1 1) into 1 4.513 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.513 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.513 * [taylor]: Taking taylor expansion of 2.0 in k 4.513 * [backup-simplify]: Simplify 2.0 into 2.0 4.513 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.513 * [taylor]: Taking taylor expansion of PI in k 4.513 * [backup-simplify]: Simplify PI into PI 4.513 * [taylor]: Taking taylor expansion of n in k 4.513 * [backup-simplify]: Simplify n into n 4.513 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.513 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.513 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.513 * [backup-simplify]: Simplify (- 1) into -1 4.514 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.514 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.514 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.514 * [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))))) 4.514 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.514 * [taylor]: Taking taylor expansion of 1.0 in k 4.514 * [backup-simplify]: Simplify 1.0 into 1.0 4.514 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.514 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.514 * [taylor]: Taking taylor expansion of k in k 4.514 * [backup-simplify]: Simplify 0 into 0 4.514 * [backup-simplify]: Simplify 1 into 1 4.515 * [backup-simplify]: Simplify (sqrt 0) into 0 4.515 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.515 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.516 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.516 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.516 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.516 * [taylor]: Taking taylor expansion of 0.5 in k 4.516 * [backup-simplify]: Simplify 0.5 into 0.5 4.516 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.516 * [taylor]: Taking taylor expansion of 1.0 in k 4.516 * [backup-simplify]: Simplify 1.0 into 1.0 4.516 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.516 * [taylor]: Taking taylor expansion of k in k 4.516 * [backup-simplify]: Simplify 0 into 0 4.516 * [backup-simplify]: Simplify 1 into 1 4.516 * [backup-simplify]: Simplify (/ 1 1) into 1 4.516 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.516 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.516 * [taylor]: Taking taylor expansion of 2.0 in k 4.516 * [backup-simplify]: Simplify 2.0 into 2.0 4.516 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.516 * [taylor]: Taking taylor expansion of PI in k 4.516 * [backup-simplify]: Simplify PI into PI 4.516 * [taylor]: Taking taylor expansion of n in k 4.516 * [backup-simplify]: Simplify n into n 4.516 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.516 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.516 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.517 * [backup-simplify]: Simplify (- 1) into -1 4.517 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.517 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.517 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.517 * [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))))) 4.518 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 4.518 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.518 * [taylor]: Taking taylor expansion of 0 in n 4.518 * [backup-simplify]: Simplify 0 into 0 4.518 * [backup-simplify]: Simplify 0 into 0 4.519 * [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))))))) 4.519 * [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))))))) 4.519 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.519 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.519 * [taylor]: Taking taylor expansion of +nan.0 in n 4.519 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.519 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.519 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.519 * [taylor]: Taking taylor expansion of 0.5 in n 4.519 * [backup-simplify]: Simplify 0.5 into 0.5 4.519 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.519 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.519 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.519 * [taylor]: Taking taylor expansion of 2.0 in n 4.519 * [backup-simplify]: Simplify 2.0 into 2.0 4.519 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.519 * [taylor]: Taking taylor expansion of PI in n 4.519 * [backup-simplify]: Simplify PI into PI 4.519 * [taylor]: Taking taylor expansion of n in n 4.519 * [backup-simplify]: Simplify 0 into 0 4.519 * [backup-simplify]: Simplify 1 into 1 4.520 * [backup-simplify]: Simplify (/ PI 1) into PI 4.520 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.521 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.521 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.521 * [taylor]: Taking taylor expansion of 1.0 in n 4.521 * [backup-simplify]: Simplify 1.0 into 1.0 4.521 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.521 * [taylor]: Taking taylor expansion of k in n 4.521 * [backup-simplify]: Simplify k into k 4.521 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.522 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.522 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.522 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.523 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.523 * [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)))) 4.524 * [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))))) 4.525 * [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)))))) 4.526 * [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))))))) 4.527 * [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))))))) 4.527 * [backup-simplify]: Simplify 0 into 0 4.529 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.529 * [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))))))) 4.530 * [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))))))) 4.530 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.530 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.530 * [taylor]: Taking taylor expansion of +nan.0 in n 4.530 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.530 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.530 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.530 * [taylor]: Taking taylor expansion of 0.5 in n 4.530 * [backup-simplify]: Simplify 0.5 into 0.5 4.530 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.530 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.530 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.530 * [taylor]: Taking taylor expansion of 2.0 in n 4.530 * [backup-simplify]: Simplify 2.0 into 2.0 4.530 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.530 * [taylor]: Taking taylor expansion of PI in n 4.530 * [backup-simplify]: Simplify PI into PI 4.530 * [taylor]: Taking taylor expansion of n in n 4.530 * [backup-simplify]: Simplify 0 into 0 4.530 * [backup-simplify]: Simplify 1 into 1 4.531 * [backup-simplify]: Simplify (/ PI 1) into PI 4.531 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.532 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.532 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.532 * [taylor]: Taking taylor expansion of 1.0 in n 4.532 * [backup-simplify]: Simplify 1.0 into 1.0 4.532 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.532 * [taylor]: Taking taylor expansion of k in n 4.532 * [backup-simplify]: Simplify k into k 4.532 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.533 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.533 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.533 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.534 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.535 * [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)))))) 4.539 * [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))))))) 4.540 * [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))))))) 4.542 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.542 * [backup-simplify]: Simplify (- 0) into 0 4.543 * [backup-simplify]: Simplify (+ 0 0) into 0 4.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.544 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.546 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.548 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.549 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 4.551 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.553 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 4.553 * [backup-simplify]: Simplify (- 0) into 0 4.554 * [backup-simplify]: Simplify 0 into 0 4.554 * [backup-simplify]: Simplify 0 into 0 4.558 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.559 * [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))))))) 4.561 * [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))))))) 4.561 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.561 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) 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 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.561 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) 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 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 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 4.561 * [backup-simplify]: Simplify PI into PI 4.561 * [taylor]: Taking taylor expansion of n in n 4.561 * [backup-simplify]: Simplify 0 into 0 4.561 * [backup-simplify]: Simplify 1 into 1 4.566 * [backup-simplify]: Simplify (/ PI 1) into PI 4.567 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.568 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.568 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.568 * [taylor]: Taking taylor expansion of 1.0 in n 4.568 * [backup-simplify]: Simplify 1.0 into 1.0 4.568 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.568 * [taylor]: Taking taylor expansion of k in n 4.568 * [backup-simplify]: Simplify k into k 4.568 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.569 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.569 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.569 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.570 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.570 * [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)))) 4.571 * [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))))) 4.572 * [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)))))) 4.573 * [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))))))) 4.573 * [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))))))) 4.576 * [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)))))))) 4.577 * [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)))) 4.577 * [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 4.577 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.577 * [taylor]: Taking taylor expansion of 1.0 in n 4.577 * [backup-simplify]: Simplify 1.0 into 1.0 4.577 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.577 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.577 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.577 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.577 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.577 * [taylor]: Taking taylor expansion of 0.5 in n 4.577 * [backup-simplify]: Simplify 0.5 into 0.5 4.577 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.577 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.577 * [taylor]: Taking taylor expansion of k in n 4.577 * [backup-simplify]: Simplify k into k 4.577 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.577 * [taylor]: Taking taylor expansion of 1.0 in n 4.577 * [backup-simplify]: Simplify 1.0 into 1.0 4.577 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.577 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.577 * [taylor]: Taking taylor expansion of -2.0 in n 4.577 * [backup-simplify]: Simplify -2.0 into -2.0 4.578 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.578 * [taylor]: Taking taylor expansion of PI in n 4.578 * [backup-simplify]: Simplify PI into PI 4.578 * [taylor]: Taking taylor expansion of n in n 4.578 * [backup-simplify]: Simplify 0 into 0 4.578 * [backup-simplify]: Simplify 1 into 1 4.578 * [backup-simplify]: Simplify (/ PI 1) into PI 4.579 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.579 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.579 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.579 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.580 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.581 * [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)))) 4.582 * [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))))) 4.582 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.582 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.582 * [taylor]: Taking taylor expansion of -1 in n 4.582 * [backup-simplify]: Simplify -1 into -1 4.582 * [taylor]: Taking taylor expansion of k in n 4.582 * [backup-simplify]: Simplify k into k 4.582 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 4.582 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 4.582 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 4.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 4.583 * [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))) 4.583 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.583 * [taylor]: Taking taylor expansion of 1.0 in k 4.583 * [backup-simplify]: Simplify 1.0 into 1.0 4.583 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.583 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.583 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.583 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.583 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.583 * [taylor]: Taking taylor expansion of 0.5 in k 4.583 * [backup-simplify]: Simplify 0.5 into 0.5 4.583 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.583 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.583 * [taylor]: Taking taylor expansion of k in k 4.583 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify 1 into 1 4.584 * [backup-simplify]: Simplify (/ 1 1) into 1 4.584 * [taylor]: Taking taylor expansion of 1.0 in k 4.584 * [backup-simplify]: Simplify 1.0 into 1.0 4.584 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.584 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.584 * [taylor]: Taking taylor expansion of -2.0 in k 4.584 * [backup-simplify]: Simplify -2.0 into -2.0 4.584 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.584 * [taylor]: Taking taylor expansion of PI in k 4.584 * [backup-simplify]: Simplify PI into PI 4.584 * [taylor]: Taking taylor expansion of n in k 4.584 * [backup-simplify]: Simplify n into n 4.584 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.584 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.584 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.584 * [backup-simplify]: Simplify (+ 1 0) into 1 4.584 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.585 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.585 * [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)))))) 4.585 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.585 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.585 * [taylor]: Taking taylor expansion of -1 in k 4.585 * [backup-simplify]: Simplify -1 into -1 4.585 * [taylor]: Taking taylor expansion of k in k 4.585 * [backup-simplify]: Simplify 0 into 0 4.585 * [backup-simplify]: Simplify 1 into 1 4.585 * [backup-simplify]: Simplify (/ -1 1) into -1 4.585 * [backup-simplify]: Simplify (sqrt 0) into 0 4.586 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.586 * [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))))))) 4.586 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.586 * [taylor]: Taking taylor expansion of 1.0 in k 4.586 * [backup-simplify]: Simplify 1.0 into 1.0 4.586 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.587 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.587 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.587 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.587 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.587 * [taylor]: Taking taylor expansion of 0.5 in k 4.587 * [backup-simplify]: Simplify 0.5 into 0.5 4.587 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.587 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.587 * [taylor]: Taking taylor expansion of k in k 4.587 * [backup-simplify]: Simplify 0 into 0 4.587 * [backup-simplify]: Simplify 1 into 1 4.587 * [backup-simplify]: Simplify (/ 1 1) into 1 4.587 * [taylor]: Taking taylor expansion of 1.0 in k 4.587 * [backup-simplify]: Simplify 1.0 into 1.0 4.587 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.587 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.587 * [taylor]: Taking taylor expansion of -2.0 in k 4.587 * [backup-simplify]: Simplify -2.0 into -2.0 4.587 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.587 * [taylor]: Taking taylor expansion of PI in k 4.587 * [backup-simplify]: Simplify PI into PI 4.587 * [taylor]: Taking taylor expansion of n in k 4.587 * [backup-simplify]: Simplify n into n 4.587 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.587 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.587 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.588 * [backup-simplify]: Simplify (+ 1 0) into 1 4.588 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.588 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.588 * [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)))))) 4.588 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.588 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.588 * [taylor]: Taking taylor expansion of -1 in k 4.588 * [backup-simplify]: Simplify -1 into -1 4.588 * [taylor]: Taking taylor expansion of k in k 4.588 * [backup-simplify]: Simplify 0 into 0 4.588 * [backup-simplify]: Simplify 1 into 1 4.588 * [backup-simplify]: Simplify (/ -1 1) into -1 4.589 * [backup-simplify]: Simplify (sqrt 0) into 0 4.590 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.590 * [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))))))) 4.590 * [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))))))) 4.590 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.590 * [taylor]: Taking taylor expansion of +nan.0 in n 4.590 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.590 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.590 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.590 * [taylor]: Taking taylor expansion of 0.5 in n 4.590 * [backup-simplify]: Simplify 0.5 into 0.5 4.590 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.590 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.590 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.590 * [taylor]: Taking taylor expansion of k in n 4.590 * [backup-simplify]: Simplify k into k 4.590 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.590 * [taylor]: Taking taylor expansion of 1.0 in n 4.590 * [backup-simplify]: Simplify 1.0 into 1.0 4.590 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.590 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.590 * [taylor]: Taking taylor expansion of -2.0 in n 4.590 * [backup-simplify]: Simplify -2.0 into -2.0 4.590 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.590 * [taylor]: Taking taylor expansion of PI in n 4.590 * [backup-simplify]: Simplify PI into PI 4.590 * [taylor]: Taking taylor expansion of n in n 4.590 * [backup-simplify]: Simplify 0 into 0 4.590 * [backup-simplify]: Simplify 1 into 1 4.591 * [backup-simplify]: Simplify (/ PI 1) into PI 4.591 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.592 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.592 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.593 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.593 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.594 * [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)))) 4.595 * [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))))) 4.596 * [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)))))) 4.597 * [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)))))) 4.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.599 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.601 * [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)))))))) 4.601 * [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)))))))) 4.601 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 4.601 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.602 * [taylor]: Taking taylor expansion of +nan.0 in n 4.602 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.602 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.602 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.602 * [taylor]: Taking taylor expansion of 0.5 in n 4.602 * [backup-simplify]: Simplify 0.5 into 0.5 4.602 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.602 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.602 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.602 * [taylor]: Taking taylor expansion of k in n 4.602 * [backup-simplify]: Simplify k into k 4.602 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.602 * [taylor]: Taking taylor expansion of 1.0 in n 4.602 * [backup-simplify]: Simplify 1.0 into 1.0 4.602 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.602 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.602 * [taylor]: Taking taylor expansion of -2.0 in n 4.602 * [backup-simplify]: Simplify -2.0 into -2.0 4.602 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.602 * [taylor]: Taking taylor expansion of PI in n 4.602 * [backup-simplify]: Simplify PI into PI 4.602 * [taylor]: Taking taylor expansion of n in n 4.602 * [backup-simplify]: Simplify 0 into 0 4.602 * [backup-simplify]: Simplify 1 into 1 4.603 * [backup-simplify]: Simplify (/ PI 1) into PI 4.603 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.604 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.605 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.606 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.607 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.609 * [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)))) 4.610 * [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))))) 4.611 * [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)))))) 4.613 * [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))))))) 4.614 * [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))))))) 4.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.616 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.618 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.618 * [backup-simplify]: Simplify (+ 0 0) into 0 4.619 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.620 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.621 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 4.622 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.623 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 4.623 * [backup-simplify]: Simplify 0 into 0 4.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.628 * [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)))))))) 4.629 * [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)))))))) 4.629 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 4.629 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.629 * [taylor]: Taking taylor expansion of +nan.0 in n 4.629 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.629 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.629 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.629 * [taylor]: Taking taylor expansion of 0.5 in n 4.629 * [backup-simplify]: Simplify 0.5 into 0.5 4.629 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.629 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.629 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.629 * [taylor]: Taking taylor expansion of k in n 4.629 * [backup-simplify]: Simplify k into k 4.629 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.629 * [taylor]: Taking taylor expansion of 1.0 in n 4.629 * [backup-simplify]: Simplify 1.0 into 1.0 4.629 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.629 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.629 * [taylor]: Taking taylor expansion of -2.0 in n 4.629 * [backup-simplify]: Simplify -2.0 into -2.0 4.629 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.629 * [taylor]: Taking taylor expansion of PI in n 4.629 * [backup-simplify]: Simplify PI into PI 4.629 * [taylor]: Taking taylor expansion of n in n 4.629 * [backup-simplify]: Simplify 0 into 0 4.629 * [backup-simplify]: Simplify 1 into 1 4.629 * [backup-simplify]: Simplify (/ PI 1) into PI 4.630 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.631 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.631 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.632 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.632 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.633 * [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)))) 4.634 * [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))))) 4.635 * [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)))))) 4.636 * [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))))))) 4.636 * [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))))))) 4.639 * [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)))))))))))) 4.639 * * * [progress]: simplifying candidates 4.642 * [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)))))))))))) 4.648 * * [simplify]: Extracting # 0 : cost 0 4.648 * * [simplify]: Extracting # 1 : cost 0 4.649 * * [simplify]: Extracting # 2 : cost 0 4.650 * * [simplify]: Extracting # 3 : cost 0 4.650 * * [simplify]: Extracting # 4 : cost 0 4.651 * * [simplify]: Extracting # 5 : cost 0 4.652 * * [simplify]: Extracting # 6 : cost 0 4.653 * * [simplify]: Extracting # 7 : cost 0 4.654 * * [simplify]: Extracting # 8 : cost 0 4.655 * * [simplify]: Extracting # 9 : cost 0 4.655 * * [simplify]: Extracting # 10 : cost 0 4.656 * * [simplify]: Extracting # 11 : cost 0 4.656 * * [simplify]: Extracting # 12 : cost 0 4.657 * * [simplify]: Extracting # 13 : cost 0 4.657 * * [simplify]: Extracting # 14 : cost 0 4.658 * * [simplify]: Extracting # 15 : cost 0 4.658 * * [simplify]: Extracting # 16 : cost 0 4.659 * * [simplify]: Extracting # 17 : cost 0 4.660 * * [simplify]: Extracting # 18 : cost 0 4.660 * * [simplify]: Extracting # 19 : cost 0 4.661 * * [simplify]: Extracting # 20 : cost 0 4.661 * * [simplify]: Extracting # 21 : cost 0 4.662 * * [simplify]: Extracting # 22 : cost 0 4.666 * * [simplify]: Extracting # 23 : cost 0 4.667 * * [simplify]: Extracting # 24 : cost 0 4.667 * * [simplify]: Extracting # 25 : cost 0 4.668 * * [simplify]: Extracting # 26 : cost 0 4.668 * * [simplify]: Extracting # 27 : cost 0 4.669 * * [simplify]: Extracting # 28 : cost 0 4.669 * * [simplify]: Extracting # 29 : cost 0 4.670 * * [simplify]: Extracting # 30 : cost 0 4.671 * * [simplify]: Extracting # 31 : cost 0 4.671 * * [simplify]: Extracting # 32 : cost 0 4.672 * * [simplify]: Extracting # 33 : cost 0 4.672 * * [simplify]: iteration 0 : 361 enodes (cost 2800 ) 4.787 * * [simplify]: Extracting # 0 : cost 0 4.790 * * [simplify]: Extracting # 1 : cost 0 4.793 * * [simplify]: Extracting # 2 : cost 0 4.795 * * [simplify]: Extracting # 3 : cost 0 4.798 * * [simplify]: Extracting # 4 : cost 0 4.800 * * [simplify]: Extracting # 5 : cost 0 4.803 * * [simplify]: Extracting # 6 : cost 0 4.806 * * [simplify]: iteration 1 : 931 enodes (cost 2635 ) 5.305 * * [simplify]: Extracting # 0 : cost 0 5.313 * * [simplify]: Extracting # 1 : cost 0 5.320 * * [simplify]: Extracting # 2 : cost 0 5.328 * * [simplify]: Extracting # 3 : cost 0 5.336 * * [simplify]: Extracting # 4 : cost 0 5.343 * * [simplify]: Extracting # 5 : cost 0 5.351 * * [simplify]: iteration 2 : 3051 enodes (cost 2471 ) 6.734 * * [simplify]: Extracting # 0 : cost 0 6.741 * * [simplify]: Extracting # 1 : cost 0 6.747 * * [simplify]: Extracting # 2 : cost 0 6.754 * * [simplify]: Extracting # 3 : cost 0 6.770 * * [simplify]: Extracting # 4 : cost 0 6.782 * * [simplify]: iteration done: 5001 enodes (cost 2471 ) 6.785 * [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)))) 6.787 * * * [progress]: adding candidates to table 7.521 * * [progress]: iteration 2 / 4 7.521 * * * [progress]: picking best candidate 7.562 * * * * [pick]: Picked # 7.562 * * * [progress]: localizing error 7.585 * * * [progress]: generating rewritten candidates 7.585 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 7.597 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 7.606 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 7.649 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 7.681 * * * [progress]: generating series expansions 7.681 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 7.682 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 7.682 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 7.682 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 7.682 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 7.682 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 7.682 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.682 * [taylor]: Taking taylor expansion of 0.5 in k 7.682 * [backup-simplify]: Simplify 0.5 into 0.5 7.682 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.682 * [taylor]: Taking taylor expansion of 1.0 in k 7.682 * [backup-simplify]: Simplify 1.0 into 1.0 7.682 * [taylor]: Taking taylor expansion of k in k 7.682 * [backup-simplify]: Simplify 0 into 0 7.682 * [backup-simplify]: Simplify 1 into 1 7.682 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.682 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.682 * [taylor]: Taking taylor expansion of 2.0 in k 7.682 * [backup-simplify]: Simplify 2.0 into 2.0 7.682 * [taylor]: Taking taylor expansion of PI in k 7.682 * [backup-simplify]: Simplify PI into PI 7.683 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.684 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.684 * [backup-simplify]: Simplify (- 0) into 0 7.685 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.685 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.687 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.690 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 7.690 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 7.690 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 7.690 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 7.690 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.690 * [taylor]: Taking taylor expansion of 0.5 in k 7.690 * [backup-simplify]: Simplify 0.5 into 0.5 7.690 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.690 * [taylor]: Taking taylor expansion of 1.0 in k 7.690 * [backup-simplify]: Simplify 1.0 into 1.0 7.690 * [taylor]: Taking taylor expansion of k in k 7.690 * [backup-simplify]: Simplify 0 into 0 7.690 * [backup-simplify]: Simplify 1 into 1 7.690 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.690 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.690 * [taylor]: Taking taylor expansion of 2.0 in k 7.690 * [backup-simplify]: Simplify 2.0 into 2.0 7.690 * [taylor]: Taking taylor expansion of PI in k 7.690 * [backup-simplify]: Simplify PI into PI 7.691 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.691 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.691 * [backup-simplify]: Simplify (- 0) into 0 7.692 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.692 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.693 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.695 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 7.696 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 7.696 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.698 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.698 * [backup-simplify]: Simplify (- 1) into -1 7.698 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.699 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 7.701 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 7.709 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 7.713 * [backup-simplify]: Simplify (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 7.714 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.716 * [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 7.716 * [backup-simplify]: Simplify (- 0) into 0 7.717 * [backup-simplify]: Simplify (+ 0 0) into 0 7.717 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 7.718 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 7.733 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 7.741 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 7.753 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow k 2)) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 7.753 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 7.753 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 7.753 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.753 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 7.753 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 7.753 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.753 * [taylor]: Taking taylor expansion of 0.5 in k 7.753 * [backup-simplify]: Simplify 0.5 into 0.5 7.753 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.753 * [taylor]: Taking taylor expansion of 1.0 in k 7.753 * [backup-simplify]: Simplify 1.0 into 1.0 7.753 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.753 * [taylor]: Taking taylor expansion of k in k 7.753 * [backup-simplify]: Simplify 0 into 0 7.753 * [backup-simplify]: Simplify 1 into 1 7.754 * [backup-simplify]: Simplify (/ 1 1) into 1 7.754 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.754 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.754 * [taylor]: Taking taylor expansion of 2.0 in k 7.754 * [backup-simplify]: Simplify 2.0 into 2.0 7.754 * [taylor]: Taking taylor expansion of PI in k 7.754 * [backup-simplify]: Simplify PI into PI 7.754 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.755 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.755 * [backup-simplify]: Simplify (- 1) into -1 7.755 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.755 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.756 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 7.757 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 7.757 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.757 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 7.757 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 7.757 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.757 * [taylor]: Taking taylor expansion of 0.5 in k 7.757 * [backup-simplify]: Simplify 0.5 into 0.5 7.757 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.757 * [taylor]: Taking taylor expansion of 1.0 in k 7.757 * [backup-simplify]: Simplify 1.0 into 1.0 7.757 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.757 * [taylor]: Taking taylor expansion of k in k 7.757 * [backup-simplify]: Simplify 0 into 0 7.757 * [backup-simplify]: Simplify 1 into 1 7.758 * [backup-simplify]: Simplify (/ 1 1) into 1 7.758 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.758 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.758 * [taylor]: Taking taylor expansion of 2.0 in k 7.758 * [backup-simplify]: Simplify 2.0 into 2.0 7.758 * [taylor]: Taking taylor expansion of PI in k 7.758 * [backup-simplify]: Simplify PI into PI 7.758 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.759 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.759 * [backup-simplify]: Simplify (- 1) into -1 7.759 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.759 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.761 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 7.761 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 7.762 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 7.762 * [backup-simplify]: Simplify 0 into 0 7.762 * [backup-simplify]: Simplify 0 into 0 7.762 * [backup-simplify]: Simplify 0 into 0 7.762 * [backup-simplify]: Simplify 0 into 0 7.762 * [backup-simplify]: Simplify 0 into 0 7.762 * [backup-simplify]: Simplify 0 into 0 7.763 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 7.763 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 7.763 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 7.763 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.763 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 7.763 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 7.763 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.763 * [taylor]: Taking taylor expansion of 0.5 in k 7.764 * [backup-simplify]: Simplify 0.5 into 0.5 7.764 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.764 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.764 * [taylor]: Taking taylor expansion of k in k 7.764 * [backup-simplify]: Simplify 0 into 0 7.764 * [backup-simplify]: Simplify 1 into 1 7.764 * [backup-simplify]: Simplify (/ 1 1) into 1 7.764 * [taylor]: Taking taylor expansion of 1.0 in k 7.764 * [backup-simplify]: Simplify 1.0 into 1.0 7.764 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.764 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.764 * [taylor]: Taking taylor expansion of 2.0 in k 7.764 * [backup-simplify]: Simplify 2.0 into 2.0 7.764 * [taylor]: Taking taylor expansion of PI in k 7.764 * [backup-simplify]: Simplify PI into PI 7.764 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.765 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.765 * [backup-simplify]: Simplify (+ 1 0) into 1 7.766 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.767 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.771 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 7.771 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.771 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 7.771 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 7.771 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.771 * [taylor]: Taking taylor expansion of 0.5 in k 7.771 * [backup-simplify]: Simplify 0.5 into 0.5 7.771 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.771 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.771 * [taylor]: Taking taylor expansion of k in k 7.771 * [backup-simplify]: Simplify 0 into 0 7.771 * [backup-simplify]: Simplify 1 into 1 7.772 * [backup-simplify]: Simplify (/ 1 1) into 1 7.772 * [taylor]: Taking taylor expansion of 1.0 in k 7.772 * [backup-simplify]: Simplify 1.0 into 1.0 7.772 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.772 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.772 * [taylor]: Taking taylor expansion of 2.0 in k 7.772 * [backup-simplify]: Simplify 2.0 into 2.0 7.772 * [taylor]: Taking taylor expansion of PI in k 7.772 * [backup-simplify]: Simplify PI into PI 7.772 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.773 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.773 * [backup-simplify]: Simplify (+ 1 0) into 1 7.774 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.775 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.776 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 7.778 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 7.778 * [backup-simplify]: Simplify 0 into 0 7.778 * [backup-simplify]: Simplify 0 into 0 7.778 * [backup-simplify]: Simplify 0 into 0 7.778 * [backup-simplify]: Simplify 0 into 0 7.778 * [backup-simplify]: Simplify 0 into 0 7.778 * [backup-simplify]: Simplify 0 into 0 7.779 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 7.779 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 7.779 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 7.779 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 7.779 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 7.779 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 7.779 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 7.779 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.780 * [taylor]: Taking taylor expansion of 0.5 in k 7.780 * [backup-simplify]: Simplify 0.5 into 0.5 7.780 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.780 * [taylor]: Taking taylor expansion of 1.0 in k 7.780 * [backup-simplify]: Simplify 1.0 into 1.0 7.780 * [taylor]: Taking taylor expansion of k in k 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [backup-simplify]: Simplify 1 into 1 7.780 * [taylor]: Taking taylor expansion of (log n) in k 7.780 * [taylor]: Taking taylor expansion of n in k 7.780 * [backup-simplify]: Simplify n into n 7.780 * [backup-simplify]: Simplify (log n) into (log n) 7.780 * [backup-simplify]: Simplify (- 0) into 0 7.781 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.781 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.781 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 7.781 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 7.781 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 7.781 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 7.781 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 7.781 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.781 * [taylor]: Taking taylor expansion of 0.5 in n 7.781 * [backup-simplify]: Simplify 0.5 into 0.5 7.781 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.781 * [taylor]: Taking taylor expansion of 1.0 in n 7.782 * [backup-simplify]: Simplify 1.0 into 1.0 7.782 * [taylor]: Taking taylor expansion of k in n 7.782 * [backup-simplify]: Simplify k into k 7.782 * [taylor]: Taking taylor expansion of (log n) in n 7.782 * [taylor]: Taking taylor expansion of n in n 7.782 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify 1 into 1 7.782 * [backup-simplify]: Simplify (log 1) into 0 7.782 * [backup-simplify]: Simplify (- k) into (- k) 7.782 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 7.782 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 7.783 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.783 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 7.783 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 7.783 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 7.783 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 7.783 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 7.783 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.783 * [taylor]: Taking taylor expansion of 0.5 in n 7.783 * [backup-simplify]: Simplify 0.5 into 0.5 7.783 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.783 * [taylor]: Taking taylor expansion of 1.0 in n 7.783 * [backup-simplify]: Simplify 1.0 into 1.0 7.783 * [taylor]: Taking taylor expansion of k in n 7.783 * [backup-simplify]: Simplify k into k 7.784 * [taylor]: Taking taylor expansion of (log n) in n 7.784 * [taylor]: Taking taylor expansion of n in n 7.784 * [backup-simplify]: Simplify 0 into 0 7.784 * [backup-simplify]: Simplify 1 into 1 7.784 * [backup-simplify]: Simplify (log 1) into 0 7.784 * [backup-simplify]: Simplify (- k) into (- k) 7.784 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 7.784 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 7.785 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.785 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 7.785 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 7.785 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 7.785 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 7.785 * [taylor]: Taking taylor expansion of 0.5 in k 7.785 * [backup-simplify]: Simplify 0.5 into 0.5 7.785 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 7.785 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.785 * [taylor]: Taking taylor expansion of 1.0 in k 7.785 * [backup-simplify]: Simplify 1.0 into 1.0 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 * [taylor]: Taking taylor expansion of (log n) in k 7.785 * [taylor]: Taking taylor expansion of n in k 7.785 * [backup-simplify]: Simplify n into n 7.786 * [backup-simplify]: Simplify (log n) into (log n) 7.786 * [backup-simplify]: Simplify (- 0) into 0 7.786 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.787 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 7.787 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 7.787 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 7.787 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 7.788 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.789 * [backup-simplify]: Simplify (- 0) into 0 7.790 * [backup-simplify]: Simplify (+ 0 0) into 0 7.790 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 7.790 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.791 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 7.792 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 7.792 * [taylor]: Taking taylor expansion of 0 in k 7.792 * [backup-simplify]: Simplify 0 into 0 7.792 * [backup-simplify]: Simplify 0 into 0 7.793 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 7.793 * [backup-simplify]: Simplify (- 1) into -1 7.794 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.794 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 7.795 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 7.795 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 7.795 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 7.798 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.799 * [backup-simplify]: Simplify (- 0) into 0 7.799 * [backup-simplify]: Simplify (+ 0 0) into 0 7.800 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 7.801 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.802 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 7.803 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.803 * [taylor]: Taking taylor expansion of 0 in k 7.803 * [backup-simplify]: Simplify 0 into 0 7.803 * [backup-simplify]: Simplify 0 into 0 7.803 * [backup-simplify]: Simplify 0 into 0 7.806 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 7.806 * [backup-simplify]: Simplify (- 0) into 0 7.806 * [backup-simplify]: Simplify (+ 0 0) into 0 7.808 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 7.808 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 7.809 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 7.810 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 7.811 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 7.812 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 7.812 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 7.812 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.812 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 7.812 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 7.812 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.812 * [taylor]: Taking taylor expansion of 0.5 in k 7.812 * [backup-simplify]: Simplify 0.5 into 0.5 7.812 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.812 * [taylor]: Taking taylor expansion of 1.0 in k 7.812 * [backup-simplify]: Simplify 1.0 into 1.0 7.812 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.812 * [taylor]: Taking taylor expansion of k in k 7.812 * [backup-simplify]: Simplify 0 into 0 7.812 * [backup-simplify]: Simplify 1 into 1 7.813 * [backup-simplify]: Simplify (/ 1 1) into 1 7.813 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 7.813 * [taylor]: Taking taylor expansion of (/ 1 n) in k 7.813 * [taylor]: Taking taylor expansion of n in k 7.813 * [backup-simplify]: Simplify n into n 7.813 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.813 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 7.813 * [backup-simplify]: Simplify (- 1) into -1 7.814 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.814 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.814 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 7.815 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 7.815 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.815 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 7.815 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 7.815 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.815 * [taylor]: Taking taylor expansion of 0.5 in n 7.815 * [backup-simplify]: Simplify 0.5 into 0.5 7.815 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.815 * [taylor]: Taking taylor expansion of 1.0 in n 7.815 * [backup-simplify]: Simplify 1.0 into 1.0 7.815 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.815 * [taylor]: Taking taylor expansion of k in n 7.815 * [backup-simplify]: Simplify k into k 7.815 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.815 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 7.815 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.815 * [taylor]: Taking taylor expansion of n in n 7.815 * [backup-simplify]: Simplify 0 into 0 7.815 * [backup-simplify]: Simplify 1 into 1 7.815 * [backup-simplify]: Simplify (/ 1 1) into 1 7.816 * [backup-simplify]: Simplify (log 1) into 0 7.816 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 7.816 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 7.816 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 7.816 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 7.816 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 7.816 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 7.816 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.816 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 7.816 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 7.816 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.816 * [taylor]: Taking taylor expansion of 0.5 in n 7.816 * [backup-simplify]: Simplify 0.5 into 0.5 7.816 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.816 * [taylor]: Taking taylor expansion of 1.0 in n 7.816 * [backup-simplify]: Simplify 1.0 into 1.0 7.816 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.816 * [taylor]: Taking taylor expansion of k in n 7.817 * [backup-simplify]: Simplify k into k 7.817 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.817 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 7.817 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.817 * [taylor]: Taking taylor expansion of n in n 7.817 * [backup-simplify]: Simplify 0 into 0 7.817 * [backup-simplify]: Simplify 1 into 1 7.817 * [backup-simplify]: Simplify (/ 1 1) into 1 7.817 * [backup-simplify]: Simplify (log 1) into 0 7.817 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 7.817 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 7.817 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 7.818 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 7.818 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 7.818 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 7.818 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 7.818 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 7.818 * [taylor]: Taking taylor expansion of -0.5 in k 7.818 * [backup-simplify]: Simplify -0.5 into -0.5 7.818 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 7.818 * [taylor]: Taking taylor expansion of (log n) in k 7.818 * [taylor]: Taking taylor expansion of n in k 7.818 * [backup-simplify]: Simplify n into n 7.818 * [backup-simplify]: Simplify (log n) into (log n) 7.818 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.818 * [taylor]: Taking taylor expansion of 1.0 in k 7.818 * [backup-simplify]: Simplify 1.0 into 1.0 7.818 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.818 * [taylor]: Taking taylor expansion of k in k 7.818 * [backup-simplify]: Simplify 0 into 0 7.818 * [backup-simplify]: Simplify 1 into 1 7.819 * [backup-simplify]: Simplify (/ 1 1) into 1 7.819 * [backup-simplify]: Simplify (- 1) into -1 7.819 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.819 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 7.819 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 7.819 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 7.819 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 7.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.821 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.821 * [backup-simplify]: Simplify (- 0) into 0 7.821 * [backup-simplify]: Simplify (+ 0 0) into 0 7.822 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 7.822 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 7.822 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 7.823 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.823 * [taylor]: Taking taylor expansion of 0 in k 7.823 * [backup-simplify]: Simplify 0 into 0 7.823 * [backup-simplify]: Simplify 0 into 0 7.823 * [backup-simplify]: Simplify 0 into 0 7.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.825 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.825 * [backup-simplify]: Simplify (- 0) into 0 7.826 * [backup-simplify]: Simplify (+ 0 0) into 0 7.826 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 7.826 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 7.827 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 7.828 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.828 * [taylor]: Taking taylor expansion of 0 in k 7.828 * [backup-simplify]: Simplify 0 into 0 7.828 * [backup-simplify]: Simplify 0 into 0 7.828 * [backup-simplify]: Simplify 0 into 0 7.828 * [backup-simplify]: Simplify 0 into 0 7.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.831 * [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 7.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.832 * [backup-simplify]: Simplify (- 0) into 0 7.832 * [backup-simplify]: Simplify (+ 0 0) into 0 7.833 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 7.833 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 7.834 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 7.835 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.835 * [taylor]: Taking taylor expansion of 0 in k 7.835 * [backup-simplify]: Simplify 0 into 0 7.835 * [backup-simplify]: Simplify 0 into 0 7.835 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 7.835 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 7.835 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 7.835 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.835 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 7.835 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 7.835 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.835 * [taylor]: Taking taylor expansion of 0.5 in k 7.835 * [backup-simplify]: Simplify 0.5 into 0.5 7.835 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.835 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.835 * [taylor]: Taking taylor expansion of k in k 7.835 * [backup-simplify]: Simplify 0 into 0 7.835 * [backup-simplify]: Simplify 1 into 1 7.836 * [backup-simplify]: Simplify (/ 1 1) into 1 7.836 * [taylor]: Taking taylor expansion of 1.0 in k 7.836 * [backup-simplify]: Simplify 1.0 into 1.0 7.836 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 7.836 * [taylor]: Taking taylor expansion of (/ -1 n) in k 7.836 * [taylor]: Taking taylor expansion of -1 in k 7.836 * [backup-simplify]: Simplify -1 into -1 7.836 * [taylor]: Taking taylor expansion of n in k 7.836 * [backup-simplify]: Simplify n into n 7.836 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 7.836 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 7.836 * [backup-simplify]: Simplify (+ 1 0) into 1 7.837 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.837 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 7.837 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 7.837 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 7.837 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 7.837 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 7.837 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 7.837 * [taylor]: Taking taylor expansion of 0.5 in n 7.837 * [backup-simplify]: Simplify 0.5 into 0.5 7.837 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.837 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.837 * [taylor]: Taking taylor expansion of k in n 7.837 * [backup-simplify]: Simplify k into k 7.837 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.837 * [taylor]: Taking taylor expansion of 1.0 in n 7.837 * [backup-simplify]: Simplify 1.0 into 1.0 7.837 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 7.837 * [taylor]: Taking taylor expansion of (/ -1 n) in n 7.837 * [taylor]: Taking taylor expansion of -1 in n 7.837 * [backup-simplify]: Simplify -1 into -1 7.837 * [taylor]: Taking taylor expansion of n in n 7.837 * [backup-simplify]: Simplify 0 into 0 7.837 * [backup-simplify]: Simplify 1 into 1 7.838 * [backup-simplify]: Simplify (/ -1 1) into -1 7.838 * [backup-simplify]: Simplify (log -1) into (log -1) 7.838 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 7.838 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 7.838 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 7.839 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 7.839 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 7.840 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 7.840 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 7.840 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 7.840 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 7.840 * [taylor]: Taking taylor expansion of 0.5 in n 7.840 * [backup-simplify]: Simplify 0.5 into 0.5 7.840 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.840 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.840 * [taylor]: Taking taylor expansion of k in n 7.840 * [backup-simplify]: Simplify k into k 7.840 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.840 * [taylor]: Taking taylor expansion of 1.0 in n 7.840 * [backup-simplify]: Simplify 1.0 into 1.0 7.840 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 7.840 * [taylor]: Taking taylor expansion of (/ -1 n) in n 7.840 * [taylor]: Taking taylor expansion of -1 in n 7.840 * [backup-simplify]: Simplify -1 into -1 7.840 * [taylor]: Taking taylor expansion of n in n 7.840 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify 1 into 1 7.840 * [backup-simplify]: Simplify (/ -1 1) into -1 7.840 * [backup-simplify]: Simplify (log -1) into (log -1) 7.841 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 7.841 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 7.841 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 7.842 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 7.842 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 7.842 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 7.842 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 7.842 * [taylor]: Taking taylor expansion of 0.5 in k 7.842 * [backup-simplify]: Simplify 0.5 into 0.5 7.842 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 7.842 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 7.842 * [taylor]: Taking taylor expansion of (log -1) in k 7.842 * [taylor]: Taking taylor expansion of -1 in k 7.842 * [backup-simplify]: Simplify -1 into -1 7.843 * [backup-simplify]: Simplify (log -1) into (log -1) 7.843 * [taylor]: Taking taylor expansion of (log n) in k 7.843 * [taylor]: Taking taylor expansion of n in k 7.843 * [backup-simplify]: Simplify n into n 7.843 * [backup-simplify]: Simplify (log n) into (log n) 7.843 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.843 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.843 * [taylor]: Taking taylor expansion of k in k 7.843 * [backup-simplify]: Simplify 0 into 0 7.843 * [backup-simplify]: Simplify 1 into 1 7.843 * [backup-simplify]: Simplify (/ 1 1) into 1 7.843 * [taylor]: Taking taylor expansion of 1.0 in k 7.843 * [backup-simplify]: Simplify 1.0 into 1.0 7.843 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 7.844 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 7.844 * [backup-simplify]: Simplify (+ 1 0) into 1 7.844 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 7.844 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 7.845 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 7.845 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 7.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.847 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 7.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.847 * [backup-simplify]: Simplify (+ 0 0) into 0 7.847 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 7.848 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 7.848 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 7.849 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 7.849 * [taylor]: Taking taylor expansion of 0 in k 7.849 * [backup-simplify]: Simplify 0 into 0 7.849 * [backup-simplify]: Simplify 0 into 0 7.849 * [backup-simplify]: Simplify 0 into 0 7.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.851 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 7.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.852 * [backup-simplify]: Simplify (+ 0 0) into 0 7.852 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 7.853 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 7.854 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 7.855 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.855 * [taylor]: Taking taylor expansion of 0 in k 7.855 * [backup-simplify]: Simplify 0 into 0 7.855 * [backup-simplify]: Simplify 0 into 0 7.855 * [backup-simplify]: Simplify 0 into 0 7.855 * [backup-simplify]: Simplify 0 into 0 7.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.859 * [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 7.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.859 * [backup-simplify]: Simplify (+ 0 0) into 0 7.860 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 7.861 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 7.862 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 7.863 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.863 * [taylor]: Taking taylor expansion of 0 in k 7.863 * [backup-simplify]: Simplify 0 into 0 7.863 * [backup-simplify]: Simplify 0 into 0 7.863 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 7.863 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 7.864 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) 7.864 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 7.864 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 7.864 * [taylor]: Taking taylor expansion of 1.0 in k 7.864 * [backup-simplify]: Simplify 1.0 into 1.0 7.864 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 7.864 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.864 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.864 * [taylor]: Taking taylor expansion of k in k 7.864 * [backup-simplify]: Simplify 0 into 0 7.864 * [backup-simplify]: Simplify 1 into 1 7.864 * [backup-simplify]: Simplify (/ 1 1) into 1 7.865 * [backup-simplify]: Simplify (sqrt 0) into 0 7.866 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.866 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 7.866 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 7.866 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 7.866 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.866 * [taylor]: Taking taylor expansion of 0.5 in k 7.866 * [backup-simplify]: Simplify 0.5 into 0.5 7.866 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.866 * [taylor]: Taking taylor expansion of 1.0 in k 7.866 * [backup-simplify]: Simplify 1.0 into 1.0 7.866 * [taylor]: Taking taylor expansion of k in k 7.866 * [backup-simplify]: Simplify 0 into 0 7.866 * [backup-simplify]: Simplify 1 into 1 7.866 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.866 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.866 * [taylor]: Taking taylor expansion of 2.0 in k 7.866 * [backup-simplify]: Simplify 2.0 into 2.0 7.866 * [taylor]: Taking taylor expansion of PI in k 7.866 * [backup-simplify]: Simplify PI into PI 7.866 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.867 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.868 * [backup-simplify]: Simplify (- 0) into 0 7.868 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.869 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.870 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.873 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 7.873 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 7.873 * [taylor]: Taking taylor expansion of 1.0 in k 7.873 * [backup-simplify]: Simplify 1.0 into 1.0 7.873 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 7.873 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.873 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.873 * [taylor]: Taking taylor expansion of k in k 7.873 * [backup-simplify]: Simplify 0 into 0 7.874 * [backup-simplify]: Simplify 1 into 1 7.874 * [backup-simplify]: Simplify (/ 1 1) into 1 7.875 * [backup-simplify]: Simplify (sqrt 0) into 0 7.876 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.876 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 7.876 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 7.876 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 7.876 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.876 * [taylor]: Taking taylor expansion of 0.5 in k 7.876 * [backup-simplify]: Simplify 0.5 into 0.5 7.876 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.876 * [taylor]: Taking taylor expansion of 1.0 in k 7.876 * [backup-simplify]: Simplify 1.0 into 1.0 7.876 * [taylor]: Taking taylor expansion of k in k 7.876 * [backup-simplify]: Simplify 0 into 0 7.876 * [backup-simplify]: Simplify 1 into 1 7.876 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.876 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.876 * [taylor]: Taking taylor expansion of 2.0 in k 7.876 * [backup-simplify]: Simplify 2.0 into 2.0 7.876 * [taylor]: Taking taylor expansion of PI in k 7.876 * [backup-simplify]: Simplify PI into PI 7.877 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.878 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.878 * [backup-simplify]: Simplify (- 0) into 0 7.879 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.879 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.881 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.884 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 7.885 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 PI) 0.5)) into 0 7.885 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.885 * [backup-simplify]: Simplify 0 into 0 7.886 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.888 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.889 * [backup-simplify]: Simplify (- 1) into -1 7.889 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.891 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 7.895 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 7.911 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 7.918 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 7.927 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 7.932 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 7.933 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.936 * [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 7.936 * [backup-simplify]: Simplify (- 0) into 0 7.937 * [backup-simplify]: Simplify (+ 0 0) into 0 7.938 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 7.940 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 7.954 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 7.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.958 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.977 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 8.005 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 8.018 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 8.019 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.022 * [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 8.022 * [backup-simplify]: Simplify (- 0) into 0 8.023 * [backup-simplify]: Simplify (+ 0 0) into 0 8.023 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 8.024 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 8.039 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.042 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.065 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 8.099 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) 8.122 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 8.179 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) k) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) 8.179 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) 8.179 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 8.180 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.180 * [taylor]: Taking taylor expansion of 1.0 in k 8.180 * [backup-simplify]: Simplify 1.0 into 1.0 8.180 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.180 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.180 * [taylor]: Taking taylor expansion of k in k 8.180 * [backup-simplify]: Simplify 0 into 0 8.180 * [backup-simplify]: Simplify 1 into 1 8.180 * [backup-simplify]: Simplify (sqrt 0) into 0 8.181 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.181 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.181 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.181 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.181 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.181 * [taylor]: Taking taylor expansion of 0.5 in k 8.181 * [backup-simplify]: Simplify 0.5 into 0.5 8.181 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.181 * [taylor]: Taking taylor expansion of 1.0 in k 8.181 * [backup-simplify]: Simplify 1.0 into 1.0 8.181 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.181 * [taylor]: Taking taylor expansion of k in k 8.181 * [backup-simplify]: Simplify 0 into 0 8.181 * [backup-simplify]: Simplify 1 into 1 8.182 * [backup-simplify]: Simplify (/ 1 1) into 1 8.182 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.182 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.182 * [taylor]: Taking taylor expansion of 2.0 in k 8.182 * [backup-simplify]: Simplify 2.0 into 2.0 8.182 * [taylor]: Taking taylor expansion of PI in k 8.182 * [backup-simplify]: Simplify PI into PI 8.182 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.183 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.183 * [backup-simplify]: Simplify (- 1) into -1 8.183 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.184 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.185 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.185 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.185 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.185 * [taylor]: Taking taylor expansion of 1.0 in k 8.185 * [backup-simplify]: Simplify 1.0 into 1.0 8.185 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.185 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.186 * [taylor]: Taking taylor expansion of k in k 8.186 * [backup-simplify]: Simplify 0 into 0 8.186 * [backup-simplify]: Simplify 1 into 1 8.186 * [backup-simplify]: Simplify (sqrt 0) into 0 8.187 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.187 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.187 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.187 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.187 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.187 * [taylor]: Taking taylor expansion of 0.5 in k 8.187 * [backup-simplify]: Simplify 0.5 into 0.5 8.187 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.187 * [taylor]: Taking taylor expansion of 1.0 in k 8.187 * [backup-simplify]: Simplify 1.0 into 1.0 8.187 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.187 * [taylor]: Taking taylor expansion of k in k 8.187 * [backup-simplify]: Simplify 0 into 0 8.187 * [backup-simplify]: Simplify 1 into 1 8.187 * [backup-simplify]: Simplify (/ 1 1) into 1 8.187 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.187 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.187 * [taylor]: Taking taylor expansion of 2.0 in k 8.187 * [backup-simplify]: Simplify 2.0 into 2.0 8.187 * [taylor]: Taking taylor expansion of PI in k 8.187 * [backup-simplify]: Simplify PI into PI 8.188 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.188 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.188 * [backup-simplify]: Simplify (- 1) into -1 8.189 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.189 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.190 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.191 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.192 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 8.192 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.192 * [backup-simplify]: Simplify 0 into 0 8.193 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.194 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.195 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.197 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.198 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.200 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.200 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.204 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.207 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.208 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.210 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) 8.211 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 8.211 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 8.211 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.211 * [taylor]: Taking taylor expansion of 1.0 in k 8.211 * [backup-simplify]: Simplify 1.0 into 1.0 8.211 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.211 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.211 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.211 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.211 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.211 * [taylor]: Taking taylor expansion of 0.5 in k 8.211 * [backup-simplify]: Simplify 0.5 into 0.5 8.211 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.211 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.211 * [taylor]: Taking taylor expansion of k in k 8.211 * [backup-simplify]: Simplify 0 into 0 8.211 * [backup-simplify]: Simplify 1 into 1 8.212 * [backup-simplify]: Simplify (/ 1 1) into 1 8.212 * [taylor]: Taking taylor expansion of 1.0 in k 8.212 * [backup-simplify]: Simplify 1.0 into 1.0 8.212 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.212 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.212 * [taylor]: Taking taylor expansion of 2.0 in k 8.212 * [backup-simplify]: Simplify 2.0 into 2.0 8.212 * [taylor]: Taking taylor expansion of PI in k 8.212 * [backup-simplify]: Simplify PI into PI 8.212 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.213 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.213 * [backup-simplify]: Simplify (+ 1 0) into 1 8.213 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.214 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.215 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.215 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.215 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.215 * [taylor]: Taking taylor expansion of -1 in k 8.215 * [backup-simplify]: Simplify -1 into -1 8.215 * [taylor]: Taking taylor expansion of k in k 8.215 * [backup-simplify]: Simplify 0 into 0 8.215 * [backup-simplify]: Simplify 1 into 1 8.216 * [backup-simplify]: Simplify (/ -1 1) into -1 8.216 * [backup-simplify]: Simplify (sqrt 0) into 0 8.217 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.218 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.218 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.218 * [taylor]: Taking taylor expansion of 1.0 in k 8.218 * [backup-simplify]: Simplify 1.0 into 1.0 8.218 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.218 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.218 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.218 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.218 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.218 * [taylor]: Taking taylor expansion of 0.5 in k 8.218 * [backup-simplify]: Simplify 0.5 into 0.5 8.218 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.218 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.218 * [taylor]: Taking taylor expansion of k in k 8.218 * [backup-simplify]: Simplify 0 into 0 8.218 * [backup-simplify]: Simplify 1 into 1 8.218 * [backup-simplify]: Simplify (/ 1 1) into 1 8.218 * [taylor]: Taking taylor expansion of 1.0 in k 8.218 * [backup-simplify]: Simplify 1.0 into 1.0 8.218 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.218 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.218 * [taylor]: Taking taylor expansion of 2.0 in k 8.218 * [backup-simplify]: Simplify 2.0 into 2.0 8.218 * [taylor]: Taking taylor expansion of PI in k 8.218 * [backup-simplify]: Simplify PI into PI 8.219 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.219 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.220 * [backup-simplify]: Simplify (+ 1 0) into 1 8.220 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.221 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.222 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.222 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.222 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.222 * [taylor]: Taking taylor expansion of -1 in k 8.222 * [backup-simplify]: Simplify -1 into -1 8.222 * [taylor]: Taking taylor expansion of k in k 8.222 * [backup-simplify]: Simplify 0 into 0 8.222 * [backup-simplify]: Simplify 1 into 1 8.222 * [backup-simplify]: Simplify (/ -1 1) into -1 8.223 * [backup-simplify]: Simplify (sqrt 0) into 0 8.223 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.224 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.225 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.226 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.230 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.232 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.234 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.236 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.253 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.256 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.258 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.262 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (/ 1 (- k))) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) 8.262 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 8.263 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 8.263 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.263 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.263 * [taylor]: Taking taylor expansion of 1.0 in k 8.263 * [backup-simplify]: Simplify 1.0 into 1.0 8.263 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.263 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.263 * [taylor]: Taking taylor expansion of k in k 8.263 * [backup-simplify]: Simplify 0 into 0 8.263 * [backup-simplify]: Simplify 1 into 1 8.263 * [backup-simplify]: Simplify (/ 1 1) into 1 8.264 * [backup-simplify]: Simplify (sqrt 0) into 0 8.265 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.265 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.265 * [taylor]: Taking taylor expansion of 1.0 in k 8.266 * [backup-simplify]: Simplify 1.0 into 1.0 8.266 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.266 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.266 * [taylor]: Taking taylor expansion of k in k 8.266 * [backup-simplify]: Simplify 0 into 0 8.266 * [backup-simplify]: Simplify 1 into 1 8.266 * [backup-simplify]: Simplify (/ 1 1) into 1 8.266 * [backup-simplify]: Simplify (sqrt 0) into 0 8.268 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.269 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.269 * [backup-simplify]: Simplify 0 into 0 8.270 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.271 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.274 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.277 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.277 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.282 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.284 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.284 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.286 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 8.286 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 8.286 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.286 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.286 * [taylor]: Taking taylor expansion of 1.0 in k 8.286 * [backup-simplify]: Simplify 1.0 into 1.0 8.286 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.286 * [taylor]: Taking taylor expansion of k in k 8.286 * [backup-simplify]: Simplify 0 into 0 8.286 * [backup-simplify]: Simplify 1 into 1 8.287 * [backup-simplify]: Simplify (sqrt 0) into 0 8.288 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.288 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.288 * [taylor]: Taking taylor expansion of 1.0 in k 8.288 * [backup-simplify]: Simplify 1.0 into 1.0 8.288 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.288 * [taylor]: Taking taylor expansion of k in k 8.288 * [backup-simplify]: Simplify 0 into 0 8.288 * [backup-simplify]: Simplify 1 into 1 8.289 * [backup-simplify]: Simplify (sqrt 0) into 0 8.290 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.290 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.290 * [backup-simplify]: Simplify 0 into 0 8.292 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.292 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.295 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.297 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.298 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.301 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.304 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.304 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.306 * [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)))))))) 8.306 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 8.306 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.306 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.306 * [taylor]: Taking taylor expansion of 1.0 in k 8.306 * [backup-simplify]: Simplify 1.0 into 1.0 8.306 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.306 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.306 * [taylor]: Taking taylor expansion of -1 in k 8.306 * [backup-simplify]: Simplify -1 into -1 8.306 * [taylor]: Taking taylor expansion of k in k 8.306 * [backup-simplify]: Simplify 0 into 0 8.306 * [backup-simplify]: Simplify 1 into 1 8.307 * [backup-simplify]: Simplify (/ -1 1) into -1 8.307 * [backup-simplify]: Simplify (sqrt 0) into 0 8.309 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.309 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.309 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.309 * [taylor]: Taking taylor expansion of 1.0 in k 8.309 * [backup-simplify]: Simplify 1.0 into 1.0 8.309 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.309 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.309 * [taylor]: Taking taylor expansion of -1 in k 8.309 * [backup-simplify]: Simplify -1 into -1 8.309 * [taylor]: Taking taylor expansion of k in k 8.309 * [backup-simplify]: Simplify 0 into 0 8.309 * [backup-simplify]: Simplify 1 into 1 8.310 * [backup-simplify]: Simplify (/ -1 1) into -1 8.310 * [backup-simplify]: Simplify (sqrt 0) into 0 8.311 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.312 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.312 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.316 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.319 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.319 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.329 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.329 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.330 * [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))))) 8.330 * * * [progress]: simplifying candidates 8.336 * [simplify]: Simplifying: (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (- (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) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) (- (+ (* +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))))) 8.344 * * [simplify]: Extracting # 0 : cost 0 8.344 * * [simplify]: Extracting # 1 : cost 0 8.345 * * [simplify]: Extracting # 2 : cost 0 8.346 * * [simplify]: Extracting # 3 : cost 0 8.347 * * [simplify]: Extracting # 4 : cost 0 8.347 * * [simplify]: Extracting # 5 : cost 0 8.348 * * [simplify]: Extracting # 6 : cost 0 8.349 * * [simplify]: Extracting # 7 : cost 0 8.350 * * [simplify]: Extracting # 8 : cost 0 8.351 * * [simplify]: Extracting # 9 : cost 0 8.352 * * [simplify]: Extracting # 10 : cost 0 8.353 * * [simplify]: Extracting # 11 : cost 0 8.354 * * [simplify]: Extracting # 12 : cost 0 8.355 * * [simplify]: Extracting # 13 : cost 0 8.356 * * [simplify]: Extracting # 14 : cost 0 8.357 * * [simplify]: Extracting # 15 : cost 0 8.358 * * [simplify]: Extracting # 16 : cost 0 8.359 * * [simplify]: Extracting # 17 : cost 0 8.360 * * [simplify]: Extracting # 18 : cost 0 8.361 * * [simplify]: Extracting # 19 : cost 0 8.362 * * [simplify]: iteration 0 : 325 enodes (cost 2550 ) 8.500 * * [simplify]: Extracting # 0 : cost 0 8.502 * * [simplify]: Extracting # 1 : cost 0 8.504 * * [simplify]: Extracting # 2 : cost 0 8.507 * * [simplify]: Extracting # 3 : cost 0 8.509 * * [simplify]: Extracting # 4 : cost 0 8.511 * * [simplify]: Extracting # 5 : cost 0 8.513 * * [simplify]: iteration 1 : 807 enodes (cost 2394 ) 8.954 * * [simplify]: Extracting # 0 : cost 0 8.960 * * [simplify]: Extracting # 1 : cost 0 8.966 * * [simplify]: Extracting # 2 : cost 0 8.972 * * [simplify]: Extracting # 3 : cost 0 8.978 * * [simplify]: Extracting # 4 : cost 0 8.990 * * [simplify]: iteration 2 : 2346 enodes (cost 2288 ) 9.898 * * [simplify]: Extracting # 0 : cost 0 9.914 * * [simplify]: Extracting # 1 : cost 0 9.927 * * [simplify]: Extracting # 2 : cost 0 9.940 * * [simplify]: Extracting # 3 : cost 0 9.951 * * [simplify]: Extracting # 4 : cost 0 9.958 * * [simplify]: Extracting # 5 : cost 0 9.964 * * [simplify]: iteration done: 5001 enodes (cost 2206 ) 9.965 * [simplify]: Simplified to: (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (sqrt (- 1.0 k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (* 2.0 PI) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (pow 1.0 3) (* k (sqrt k))) (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3)) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (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) (+ (pow (* 2.0 PI) 0.5) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (- (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (+ (pow n 0.5) (* (pow (pow n 1.0) 0.5) (- (* 0.125 (* (pow k 2) (pow (log n) 2))) (* 0.5 (* k (log n)))))) (pow (pow (/ 1 n) (- 1.0 k)) -0.5) (pow (exp (- 1.0 k)) (* (+ 0 (log n)) 0.5)) (- (+ (* (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (pow k 2) (* (pow k 2) (log (* 2.0 PI))))) (+ (* (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- k (* k (log (* 2.0 PI))))) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) +nan.0))))) (- (+ (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) k) (- (/ +nan.0 k) +nan.0)) (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (/ (pow k 3) +nan.0)))) (- (+ (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) k) (- (/ +nan.0 k) +nan.0)) (* +nan.0 (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))))) (- (+ (* +nan.0 (- k (pow k 2))) +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))) 9.967 * * * [progress]: adding candidates to table 10.744 * * [progress]: iteration 3 / 4 10.744 * * * [progress]: picking best candidate 10.778 * * * * [pick]: Picked # 10.778 * * * [progress]: localizing error 10.798 * * * [progress]: generating rewritten candidates 10.808 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 10.824 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 10.840 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 10.956 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 10.981 * * * [progress]: generating series expansions 10.981 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 10.981 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 10.982 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 10.982 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 10.982 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 10.982 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 10.982 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.982 * [taylor]: Taking taylor expansion of 0.5 in k 10.982 * [backup-simplify]: Simplify 0.5 into 0.5 10.982 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.982 * [taylor]: Taking taylor expansion of 1.0 in k 10.982 * [backup-simplify]: Simplify 1.0 into 1.0 10.982 * [taylor]: Taking taylor expansion of k in k 10.982 * [backup-simplify]: Simplify 0 into 0 10.982 * [backup-simplify]: Simplify 1 into 1 10.982 * [taylor]: Taking taylor expansion of (log PI) in k 10.982 * [taylor]: Taking taylor expansion of PI in k 10.982 * [backup-simplify]: Simplify PI into PI 10.982 * [backup-simplify]: Simplify (log PI) into (log PI) 10.983 * [backup-simplify]: Simplify (- 0) into 0 10.983 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.983 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.984 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 10.985 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 10.985 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 10.985 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 10.985 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 10.985 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.985 * [taylor]: Taking taylor expansion of 0.5 in k 10.985 * [backup-simplify]: Simplify 0.5 into 0.5 10.985 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.985 * [taylor]: Taking taylor expansion of 1.0 in k 10.985 * [backup-simplify]: Simplify 1.0 into 1.0 10.985 * [taylor]: Taking taylor expansion of k in k 10.985 * [backup-simplify]: Simplify 0 into 0 10.985 * [backup-simplify]: Simplify 1 into 1 10.985 * [taylor]: Taking taylor expansion of (log PI) in k 10.985 * [taylor]: Taking taylor expansion of PI in k 10.985 * [backup-simplify]: Simplify PI into PI 10.985 * [backup-simplify]: Simplify (log PI) into (log PI) 10.986 * [backup-simplify]: Simplify (- 0) into 0 10.986 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.986 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.987 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 10.988 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 10.988 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 10.989 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 10.989 * [backup-simplify]: Simplify (- 1) into -1 10.990 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.991 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 10.992 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 10.998 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 11.000 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 11.002 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 11.003 * [backup-simplify]: Simplify (- 0) into 0 11.003 * [backup-simplify]: Simplify (+ 0 0) into 0 11.003 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.004 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 11.011 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 11.014 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 11.020 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) k) (pow PI 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) 11.020 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 11.020 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 11.020 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 11.020 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 11.020 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 11.020 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.020 * [taylor]: Taking taylor expansion of 0.5 in k 11.020 * [backup-simplify]: Simplify 0.5 into 0.5 11.020 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.020 * [taylor]: Taking taylor expansion of 1.0 in k 11.020 * [backup-simplify]: Simplify 1.0 into 1.0 11.020 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.020 * [taylor]: Taking taylor expansion of k in k 11.020 * [backup-simplify]: Simplify 0 into 0 11.020 * [backup-simplify]: Simplify 1 into 1 11.020 * [backup-simplify]: Simplify (/ 1 1) into 1 11.020 * [taylor]: Taking taylor expansion of (log PI) in k 11.020 * [taylor]: Taking taylor expansion of PI in k 11.020 * [backup-simplify]: Simplify PI into PI 11.021 * [backup-simplify]: Simplify (log PI) into (log PI) 11.021 * [backup-simplify]: Simplify (- 1) into -1 11.021 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.022 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.022 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 11.023 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 11.023 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 11.023 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 11.023 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 11.023 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.023 * [taylor]: Taking taylor expansion of 0.5 in k 11.023 * [backup-simplify]: Simplify 0.5 into 0.5 11.023 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.023 * [taylor]: Taking taylor expansion of 1.0 in k 11.023 * [backup-simplify]: Simplify 1.0 into 1.0 11.023 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.023 * [taylor]: Taking taylor expansion of k in k 11.023 * [backup-simplify]: Simplify 0 into 0 11.023 * [backup-simplify]: Simplify 1 into 1 11.023 * [backup-simplify]: Simplify (/ 1 1) into 1 11.023 * [taylor]: Taking taylor expansion of (log PI) in k 11.023 * [taylor]: Taking taylor expansion of PI in k 11.023 * [backup-simplify]: Simplify PI into PI 11.024 * [backup-simplify]: Simplify (log PI) into (log PI) 11.024 * [backup-simplify]: Simplify (- 1) into -1 11.025 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.025 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.026 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 11.027 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 11.027 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 11.027 * [backup-simplify]: Simplify 0 into 0 11.027 * [backup-simplify]: Simplify 0 into 0 11.027 * [backup-simplify]: Simplify 0 into 0 11.027 * [backup-simplify]: Simplify 0 into 0 11.027 * [backup-simplify]: Simplify 0 into 0 11.027 * [backup-simplify]: Simplify 0 into 0 11.028 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 11.028 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 11.028 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 11.028 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 11.028 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 11.028 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 11.028 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.029 * [taylor]: Taking taylor expansion of 0.5 in k 11.029 * [backup-simplify]: Simplify 0.5 into 0.5 11.029 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.029 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.029 * [taylor]: Taking taylor expansion of k in k 11.029 * [backup-simplify]: Simplify 0 into 0 11.029 * [backup-simplify]: Simplify 1 into 1 11.029 * [backup-simplify]: Simplify (/ 1 1) into 1 11.029 * [taylor]: Taking taylor expansion of 1.0 in k 11.029 * [backup-simplify]: Simplify 1.0 into 1.0 11.029 * [taylor]: Taking taylor expansion of (log PI) in k 11.029 * [taylor]: Taking taylor expansion of PI in k 11.029 * [backup-simplify]: Simplify PI into PI 11.030 * [backup-simplify]: Simplify (log PI) into (log PI) 11.030 * [backup-simplify]: Simplify (+ 1 0) into 1 11.030 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.031 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.032 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 11.032 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 11.032 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 11.032 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 11.032 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.032 * [taylor]: Taking taylor expansion of 0.5 in k 11.032 * [backup-simplify]: Simplify 0.5 into 0.5 11.032 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.032 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.032 * [taylor]: Taking taylor expansion of k in k 11.033 * [backup-simplify]: Simplify 0 into 0 11.033 * [backup-simplify]: Simplify 1 into 1 11.033 * [backup-simplify]: Simplify (/ 1 1) into 1 11.033 * [taylor]: Taking taylor expansion of 1.0 in k 11.033 * [backup-simplify]: Simplify 1.0 into 1.0 11.033 * [taylor]: Taking taylor expansion of (log PI) in k 11.033 * [taylor]: Taking taylor expansion of PI in k 11.033 * [backup-simplify]: Simplify PI into PI 11.033 * [backup-simplify]: Simplify (log PI) into (log PI) 11.034 * [backup-simplify]: Simplify (+ 1 0) into 1 11.034 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.035 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.036 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 11.037 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 11.037 * [backup-simplify]: Simplify 0 into 0 11.037 * [backup-simplify]: Simplify 0 into 0 11.037 * [backup-simplify]: Simplify 0 into 0 11.037 * [backup-simplify]: Simplify 0 into 0 11.037 * [backup-simplify]: Simplify 0 into 0 11.037 * [backup-simplify]: Simplify 0 into 0 11.037 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 11.037 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 11.038 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 11.038 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 11.038 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 11.038 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 11.038 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 11.038 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.038 * [taylor]: Taking taylor expansion of 0.5 in k 11.038 * [backup-simplify]: Simplify 0.5 into 0.5 11.038 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.038 * [taylor]: Taking taylor expansion of 1.0 in k 11.038 * [backup-simplify]: Simplify 1.0 into 1.0 11.038 * [taylor]: Taking taylor expansion of k in k 11.038 * [backup-simplify]: Simplify 0 into 0 11.038 * [backup-simplify]: Simplify 1 into 1 11.038 * [taylor]: Taking taylor expansion of (log n) in k 11.038 * [taylor]: Taking taylor expansion of n in k 11.038 * [backup-simplify]: Simplify n into n 11.038 * [backup-simplify]: Simplify (log n) into (log n) 11.039 * [backup-simplify]: Simplify (- 0) into 0 11.039 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.040 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.040 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 11.040 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.040 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.040 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.040 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.040 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.040 * [taylor]: Taking taylor expansion of 0.5 in n 11.040 * [backup-simplify]: Simplify 0.5 into 0.5 11.040 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.040 * [taylor]: Taking taylor expansion of 1.0 in n 11.040 * [backup-simplify]: Simplify 1.0 into 1.0 11.040 * [taylor]: Taking taylor expansion of k in n 11.040 * [backup-simplify]: Simplify k into k 11.040 * [taylor]: Taking taylor expansion of (log n) in n 11.040 * [taylor]: Taking taylor expansion of n in n 11.040 * [backup-simplify]: Simplify 0 into 0 11.040 * [backup-simplify]: Simplify 1 into 1 11.041 * [backup-simplify]: Simplify (log 1) into 0 11.041 * [backup-simplify]: Simplify (- k) into (- k) 11.041 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.041 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.041 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.041 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.042 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.042 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.042 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.042 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.042 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.042 * [taylor]: Taking taylor expansion of 0.5 in n 11.042 * [backup-simplify]: Simplify 0.5 into 0.5 11.042 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.042 * [taylor]: Taking taylor expansion of 1.0 in n 11.042 * [backup-simplify]: Simplify 1.0 into 1.0 11.042 * [taylor]: Taking taylor expansion of k in n 11.042 * [backup-simplify]: Simplify k into k 11.042 * [taylor]: Taking taylor expansion of (log n) in n 11.042 * [taylor]: Taking taylor expansion of n in n 11.042 * [backup-simplify]: Simplify 0 into 0 11.042 * [backup-simplify]: Simplify 1 into 1 11.043 * [backup-simplify]: Simplify (log 1) into 0 11.043 * [backup-simplify]: Simplify (- k) into (- k) 11.043 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.043 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.043 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.043 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.043 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.044 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 11.044 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 11.044 * [taylor]: Taking taylor expansion of 0.5 in k 11.044 * [backup-simplify]: Simplify 0.5 into 0.5 11.044 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 11.044 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.044 * [taylor]: Taking taylor expansion of 1.0 in k 11.044 * [backup-simplify]: Simplify 1.0 into 1.0 11.044 * [taylor]: Taking taylor expansion of k in k 11.044 * [backup-simplify]: Simplify 0 into 0 11.044 * [backup-simplify]: Simplify 1 into 1 11.044 * [taylor]: Taking taylor expansion of (log n) in k 11.044 * [taylor]: Taking taylor expansion of n in k 11.044 * [backup-simplify]: Simplify n into n 11.044 * [backup-simplify]: Simplify (log n) into (log n) 11.044 * [backup-simplify]: Simplify (- 0) into 0 11.045 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.045 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.045 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 11.045 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.045 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 11.047 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.047 * [backup-simplify]: Simplify (- 0) into 0 11.047 * [backup-simplify]: Simplify (+ 0 0) into 0 11.055 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 11.056 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.056 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 11.058 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.058 * [taylor]: Taking taylor expansion of 0 in k 11.058 * [backup-simplify]: Simplify 0 into 0 11.058 * [backup-simplify]: Simplify 0 into 0 11.059 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 11.059 * [backup-simplify]: Simplify (- 1) into -1 11.059 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.060 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 11.060 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 11.060 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 11.061 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 11.064 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.064 * [backup-simplify]: Simplify (- 0) into 0 11.065 * [backup-simplify]: Simplify (+ 0 0) into 0 11.066 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 11.066 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.066 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 11.067 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.067 * [taylor]: Taking taylor expansion of 0 in k 11.067 * [backup-simplify]: Simplify 0 into 0 11.067 * [backup-simplify]: Simplify 0 into 0 11.067 * [backup-simplify]: Simplify 0 into 0 11.069 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 11.069 * [backup-simplify]: Simplify (- 0) into 0 11.069 * [backup-simplify]: Simplify (+ 0 0) into 0 11.070 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 11.070 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 11.071 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 11.071 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 11.072 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 11.072 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 11.072 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 11.072 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 11.072 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 11.072 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 11.072 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.072 * [taylor]: Taking taylor expansion of 0.5 in k 11.072 * [backup-simplify]: Simplify 0.5 into 0.5 11.072 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.072 * [taylor]: Taking taylor expansion of 1.0 in k 11.072 * [backup-simplify]: Simplify 1.0 into 1.0 11.072 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.072 * [taylor]: Taking taylor expansion of k in k 11.072 * [backup-simplify]: Simplify 0 into 0 11.072 * [backup-simplify]: Simplify 1 into 1 11.072 * [backup-simplify]: Simplify (/ 1 1) into 1 11.072 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 11.073 * [taylor]: Taking taylor expansion of (/ 1 n) in k 11.073 * [taylor]: Taking taylor expansion of n in k 11.073 * [backup-simplify]: Simplify n into n 11.073 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.073 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 11.073 * [backup-simplify]: Simplify (- 1) into -1 11.073 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.073 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.073 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 11.074 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 11.074 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.074 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.074 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.074 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.074 * [taylor]: Taking taylor expansion of 0.5 in n 11.074 * [backup-simplify]: Simplify 0.5 into 0.5 11.074 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.074 * [taylor]: Taking taylor expansion of 1.0 in n 11.074 * [backup-simplify]: Simplify 1.0 into 1.0 11.074 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.074 * [taylor]: Taking taylor expansion of k in n 11.074 * [backup-simplify]: Simplify k into k 11.074 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.074 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.074 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.074 * [taylor]: Taking taylor expansion of n in n 11.074 * [backup-simplify]: Simplify 0 into 0 11.074 * [backup-simplify]: Simplify 1 into 1 11.074 * [backup-simplify]: Simplify (/ 1 1) into 1 11.074 * [backup-simplify]: Simplify (log 1) into 0 11.075 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.075 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.075 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.075 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.075 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 11.075 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.075 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.075 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.075 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.075 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.075 * [taylor]: Taking taylor expansion of 0.5 in n 11.075 * [backup-simplify]: Simplify 0.5 into 0.5 11.075 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.075 * [taylor]: Taking taylor expansion of 1.0 in n 11.075 * [backup-simplify]: Simplify 1.0 into 1.0 11.075 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.075 * [taylor]: Taking taylor expansion of k in n 11.075 * [backup-simplify]: Simplify k into k 11.075 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.076 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.076 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.076 * [taylor]: Taking taylor expansion of n in n 11.076 * [backup-simplify]: Simplify 0 into 0 11.076 * [backup-simplify]: Simplify 1 into 1 11.076 * [backup-simplify]: Simplify (/ 1 1) into 1 11.076 * [backup-simplify]: Simplify (log 1) into 0 11.076 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.076 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.076 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.077 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.077 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 11.077 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.077 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 11.077 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 11.077 * [taylor]: Taking taylor expansion of -0.5 in k 11.077 * [backup-simplify]: Simplify -0.5 into -0.5 11.077 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 11.077 * [taylor]: Taking taylor expansion of (log n) in k 11.077 * [taylor]: Taking taylor expansion of n in k 11.077 * [backup-simplify]: Simplify n into n 11.077 * [backup-simplify]: Simplify (log n) into (log n) 11.077 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.077 * [taylor]: Taking taylor expansion of 1.0 in k 11.077 * [backup-simplify]: Simplify 1.0 into 1.0 11.077 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.077 * [taylor]: Taking taylor expansion of k in k 11.077 * [backup-simplify]: Simplify 0 into 0 11.077 * [backup-simplify]: Simplify 1 into 1 11.077 * [backup-simplify]: Simplify (/ 1 1) into 1 11.078 * [backup-simplify]: Simplify (- 1) into -1 11.078 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.078 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 11.078 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 11.078 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.078 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.080 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.080 * [backup-simplify]: Simplify (- 0) into 0 11.080 * [backup-simplify]: Simplify (+ 0 0) into 0 11.080 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 11.081 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.081 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 11.082 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.082 * [taylor]: Taking taylor expansion of 0 in k 11.082 * [backup-simplify]: Simplify 0 into 0 11.082 * [backup-simplify]: Simplify 0 into 0 11.082 * [backup-simplify]: Simplify 0 into 0 11.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.084 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.084 * [backup-simplify]: Simplify (- 0) into 0 11.084 * [backup-simplify]: Simplify (+ 0 0) into 0 11.085 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 11.085 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.086 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 11.087 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.087 * [taylor]: Taking taylor expansion of 0 in k 11.087 * [backup-simplify]: Simplify 0 into 0 11.087 * [backup-simplify]: Simplify 0 into 0 11.087 * [backup-simplify]: Simplify 0 into 0 11.087 * [backup-simplify]: Simplify 0 into 0 11.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.090 * [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 11.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.091 * [backup-simplify]: Simplify (- 0) into 0 11.091 * [backup-simplify]: Simplify (+ 0 0) into 0 11.092 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 11.092 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.093 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 11.094 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.094 * [taylor]: Taking taylor expansion of 0 in k 11.094 * [backup-simplify]: Simplify 0 into 0 11.094 * [backup-simplify]: Simplify 0 into 0 11.094 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 11.094 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 11.094 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 11.094 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 11.094 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 11.094 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 11.094 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.094 * [taylor]: Taking taylor expansion of 0.5 in k 11.094 * [backup-simplify]: Simplify 0.5 into 0.5 11.094 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.094 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.094 * [taylor]: Taking taylor expansion of k in k 11.094 * [backup-simplify]: Simplify 0 into 0 11.094 * [backup-simplify]: Simplify 1 into 1 11.095 * [backup-simplify]: Simplify (/ 1 1) into 1 11.095 * [taylor]: Taking taylor expansion of 1.0 in k 11.095 * [backup-simplify]: Simplify 1.0 into 1.0 11.095 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 11.095 * [taylor]: Taking taylor expansion of (/ -1 n) in k 11.095 * [taylor]: Taking taylor expansion of -1 in k 11.095 * [backup-simplify]: Simplify -1 into -1 11.095 * [taylor]: Taking taylor expansion of n in k 11.095 * [backup-simplify]: Simplify n into n 11.095 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 11.095 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 11.095 * [backup-simplify]: Simplify (+ 1 0) into 1 11.095 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.095 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 11.096 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 11.096 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.096 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 11.096 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 11.096 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.096 * [taylor]: Taking taylor expansion of 0.5 in n 11.096 * [backup-simplify]: Simplify 0.5 into 0.5 11.096 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.096 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.096 * [taylor]: Taking taylor expansion of k in n 11.096 * [backup-simplify]: Simplify k into k 11.096 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.096 * [taylor]: Taking taylor expansion of 1.0 in n 11.096 * [backup-simplify]: Simplify 1.0 into 1.0 11.096 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 11.096 * [taylor]: Taking taylor expansion of (/ -1 n) in n 11.096 * [taylor]: Taking taylor expansion of -1 in n 11.096 * [backup-simplify]: Simplify -1 into -1 11.096 * [taylor]: Taking taylor expansion of n in n 11.096 * [backup-simplify]: Simplify 0 into 0 11.096 * [backup-simplify]: Simplify 1 into 1 11.096 * [backup-simplify]: Simplify (/ -1 1) into -1 11.096 * [backup-simplify]: Simplify (log -1) into (log -1) 11.097 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.097 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.097 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.097 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 11.098 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 11.098 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.098 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 11.098 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 11.098 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.098 * [taylor]: Taking taylor expansion of 0.5 in n 11.098 * [backup-simplify]: Simplify 0.5 into 0.5 11.098 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.098 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.098 * [taylor]: Taking taylor expansion of k in n 11.098 * [backup-simplify]: Simplify k into k 11.098 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.098 * [taylor]: Taking taylor expansion of 1.0 in n 11.098 * [backup-simplify]: Simplify 1.0 into 1.0 11.098 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 11.098 * [taylor]: Taking taylor expansion of (/ -1 n) in n 11.098 * [taylor]: Taking taylor expansion of -1 in n 11.098 * [backup-simplify]: Simplify -1 into -1 11.098 * [taylor]: Taking taylor expansion of n in n 11.098 * [backup-simplify]: Simplify 0 into 0 11.098 * [backup-simplify]: Simplify 1 into 1 11.099 * [backup-simplify]: Simplify (/ -1 1) into -1 11.099 * [backup-simplify]: Simplify (log -1) into (log -1) 11.099 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.099 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.100 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.101 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 11.101 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 11.101 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 11.101 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 11.101 * [taylor]: Taking taylor expansion of 0.5 in k 11.101 * [backup-simplify]: Simplify 0.5 into 0.5 11.101 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 11.102 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 11.102 * [taylor]: Taking taylor expansion of (log -1) in k 11.102 * [taylor]: Taking taylor expansion of -1 in k 11.102 * [backup-simplify]: Simplify -1 into -1 11.102 * [backup-simplify]: Simplify (log -1) into (log -1) 11.102 * [taylor]: Taking taylor expansion of (log n) in k 11.102 * [taylor]: Taking taylor expansion of n in k 11.102 * [backup-simplify]: Simplify n into n 11.102 * [backup-simplify]: Simplify (log n) into (log n) 11.102 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.102 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.102 * [taylor]: Taking taylor expansion of k in k 11.102 * [backup-simplify]: Simplify 0 into 0 11.102 * [backup-simplify]: Simplify 1 into 1 11.103 * [backup-simplify]: Simplify (/ 1 1) into 1 11.103 * [taylor]: Taking taylor expansion of 1.0 in k 11.103 * [backup-simplify]: Simplify 1.0 into 1.0 11.103 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.103 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 11.104 * [backup-simplify]: Simplify (+ 1 0) into 1 11.104 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 11.105 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 11.105 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 11.106 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 11.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.107 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 11.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.108 * [backup-simplify]: Simplify (+ 0 0) into 0 11.108 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 11.109 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.109 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 11.110 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.110 * [taylor]: Taking taylor expansion of 0 in k 11.110 * [backup-simplify]: Simplify 0 into 0 11.110 * [backup-simplify]: Simplify 0 into 0 11.110 * [backup-simplify]: Simplify 0 into 0 11.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.112 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 11.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.112 * [backup-simplify]: Simplify (+ 0 0) into 0 11.113 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 11.113 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.114 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 11.115 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.115 * [taylor]: Taking taylor expansion of 0 in k 11.115 * [backup-simplify]: Simplify 0 into 0 11.115 * [backup-simplify]: Simplify 0 into 0 11.115 * [backup-simplify]: Simplify 0 into 0 11.115 * [backup-simplify]: Simplify 0 into 0 11.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.119 * [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 11.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.119 * [backup-simplify]: Simplify (+ 0 0) into 0 11.120 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 11.121 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.121 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 11.123 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.123 * [taylor]: Taking taylor expansion of 0 in k 11.123 * [backup-simplify]: Simplify 0 into 0 11.123 * [backup-simplify]: Simplify 0 into 0 11.123 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 11.123 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 11.124 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) into (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) 11.124 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in (k) around 0 11.124 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 11.124 * [taylor]: Taking taylor expansion of 1.0 in k 11.124 * [backup-simplify]: Simplify 1.0 into 1.0 11.124 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 11.124 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.124 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.124 * [taylor]: Taking taylor expansion of k in k 11.124 * [backup-simplify]: Simplify 0 into 0 11.124 * [backup-simplify]: Simplify 1 into 1 11.124 * [backup-simplify]: Simplify (/ 1 1) into 1 11.124 * [backup-simplify]: Simplify (sqrt 0) into 0 11.125 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.125 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 11.125 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.125 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.125 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.125 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.125 * [taylor]: Taking taylor expansion of 0.5 in k 11.125 * [backup-simplify]: Simplify 0.5 into 0.5 11.125 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.125 * [taylor]: Taking taylor expansion of 1.0 in k 11.125 * [backup-simplify]: Simplify 1.0 into 1.0 11.125 * [taylor]: Taking taylor expansion of k in k 11.125 * [backup-simplify]: Simplify 0 into 0 11.125 * [backup-simplify]: Simplify 1 into 1 11.125 * [taylor]: Taking taylor expansion of (log PI) in k 11.125 * [taylor]: Taking taylor expansion of PI in k 11.125 * [backup-simplify]: Simplify PI into PI 11.126 * [backup-simplify]: Simplify (log PI) into (log PI) 11.126 * [backup-simplify]: Simplify (- 0) into 0 11.126 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.126 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.127 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.128 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.128 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 11.128 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 11.128 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 11.128 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.128 * [taylor]: Taking taylor expansion of 0.5 in k 11.128 * [backup-simplify]: Simplify 0.5 into 0.5 11.128 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.128 * [taylor]: Taking taylor expansion of 1.0 in k 11.128 * [backup-simplify]: Simplify 1.0 into 1.0 11.128 * [taylor]: Taking taylor expansion of k in k 11.128 * [backup-simplify]: Simplify 0 into 0 11.128 * [backup-simplify]: Simplify 1 into 1 11.128 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.128 * [taylor]: Taking taylor expansion of 2.0 in k 11.128 * [backup-simplify]: Simplify 2.0 into 2.0 11.129 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.129 * [backup-simplify]: Simplify (- 0) into 0 11.129 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.129 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.130 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 11.131 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 11.131 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 11.131 * [taylor]: Taking taylor expansion of 1.0 in k 11.131 * [backup-simplify]: Simplify 1.0 into 1.0 11.131 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 11.131 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.131 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.131 * [taylor]: Taking taylor expansion of k in k 11.131 * [backup-simplify]: Simplify 0 into 0 11.131 * [backup-simplify]: Simplify 1 into 1 11.131 * [backup-simplify]: Simplify (/ 1 1) into 1 11.131 * [backup-simplify]: Simplify (sqrt 0) into 0 11.132 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.132 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 11.132 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.132 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.132 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.132 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.132 * [taylor]: Taking taylor expansion of 0.5 in k 11.132 * [backup-simplify]: Simplify 0.5 into 0.5 11.132 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.132 * [taylor]: Taking taylor expansion of 1.0 in k 11.132 * [backup-simplify]: Simplify 1.0 into 1.0 11.132 * [taylor]: Taking taylor expansion of k in k 11.132 * [backup-simplify]: Simplify 0 into 0 11.132 * [backup-simplify]: Simplify 1 into 1 11.133 * [taylor]: Taking taylor expansion of (log PI) in k 11.133 * [taylor]: Taking taylor expansion of PI in k 11.133 * [backup-simplify]: Simplify PI into PI 11.133 * [backup-simplify]: Simplify (log PI) into (log PI) 11.133 * [backup-simplify]: Simplify (- 0) into 0 11.133 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.134 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.134 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.136 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.136 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 11.136 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 11.136 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 11.136 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.136 * [taylor]: Taking taylor expansion of 0.5 in k 11.136 * [backup-simplify]: Simplify 0.5 into 0.5 11.136 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.136 * [taylor]: Taking taylor expansion of 1.0 in k 11.136 * [backup-simplify]: Simplify 1.0 into 1.0 11.136 * [taylor]: Taking taylor expansion of k in k 11.136 * [backup-simplify]: Simplify 0 into 0 11.136 * [backup-simplify]: Simplify 1 into 1 11.136 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.136 * [taylor]: Taking taylor expansion of 2.0 in k 11.136 * [backup-simplify]: Simplify 2.0 into 2.0 11.137 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.137 * [backup-simplify]: Simplify (- 0) into 0 11.138 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.138 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.139 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 11.140 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 11.142 * [backup-simplify]: Simplify (* (pow PI 0.5) (pow 2.0 0.5)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) 11.144 * [backup-simplify]: Simplify (* 0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) into 0 11.144 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.144 * [backup-simplify]: Simplify 0 into 0 11.146 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 11.146 * [backup-simplify]: Simplify (- 1) into -1 11.147 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.148 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.151 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log 2.0))) into (- (* 0.5 (log 2.0))) 11.161 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1)))) into (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5))) 11.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 11.163 * [backup-simplify]: Simplify (- 1) into -1 11.163 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.165 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.167 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 11.184 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 11.200 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (pow 2.0 0.5))) into (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))))) 11.207 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 11.212 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 11.216 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 11.217 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 11.218 * [backup-simplify]: Simplify (- 0) into 0 11.218 * [backup-simplify]: Simplify (+ 0 0) into 0 11.219 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.219 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log 2.0)))) into 0 11.226 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5))) 11.228 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 11.228 * [backup-simplify]: Simplify (- 0) into 0 11.228 * [backup-simplify]: Simplify (+ 0 0) into 0 11.229 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.231 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 11.238 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 11.258 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow 2.0 0.5)))) into (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))) 11.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.260 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.303 * [backup-simplify]: Simplify (+ (* 0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 11.327 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) 11.354 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) 11.361 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2.0 1)))) 6) into 0 11.361 * [backup-simplify]: Simplify (- 0) into 0 11.362 * [backup-simplify]: Simplify (+ 0 0) into 0 11.363 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 11.365 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 11.380 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 3) 6)) (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5))) 11.386 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 11.386 * [backup-simplify]: Simplify (- 0) into 0 11.387 * [backup-simplify]: Simplify (+ 0 0) into 0 11.388 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 11.390 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log PI))))) into 0 11.406 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 3) 6)) (* (/ (pow (- (* 0.5 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) 11.448 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) (pow 2.0 0.5))))) into (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3))))))) 11.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.534 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3)))))))) (+ (* +nan.0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))))))))))) 11.634 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) 11.746 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) 11.844 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) k) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))))))))))) 11.845 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (* (pow 2.0 (/ (- 1.0 (/ 1 k)) 2.0)) (pow PI (/ (- 1.0 (/ 1 k)) 2.0)))) into (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) 11.845 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in (k) around 0 11.845 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 11.845 * [taylor]: Taking taylor expansion of 1.0 in k 11.845 * [backup-simplify]: Simplify 1.0 into 1.0 11.845 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 11.845 * [taylor]: Taking taylor expansion of (sqrt k) in k 11.845 * [taylor]: Taking taylor expansion of k in k 11.845 * [backup-simplify]: Simplify 0 into 0 11.845 * [backup-simplify]: Simplify 1 into 1 11.845 * [backup-simplify]: Simplify (sqrt 0) into 0 11.846 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.846 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 11.846 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 11.846 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 11.846 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 11.846 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.846 * [taylor]: Taking taylor expansion of 0.5 in k 11.846 * [backup-simplify]: Simplify 0.5 into 0.5 11.846 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.846 * [taylor]: Taking taylor expansion of 1.0 in k 11.846 * [backup-simplify]: Simplify 1.0 into 1.0 11.846 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.846 * [taylor]: Taking taylor expansion of k in k 11.846 * [backup-simplify]: Simplify 0 into 0 11.847 * [backup-simplify]: Simplify 1 into 1 11.847 * [backup-simplify]: Simplify (/ 1 1) into 1 11.847 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.847 * [taylor]: Taking taylor expansion of 2.0 in k 11.847 * [backup-simplify]: Simplify 2.0 into 2.0 11.847 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.847 * [backup-simplify]: Simplify (- 1) into -1 11.848 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.848 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.848 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 11.849 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 11.849 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 11.849 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 11.849 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 11.849 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.849 * [taylor]: Taking taylor expansion of 0.5 in k 11.849 * [backup-simplify]: Simplify 0.5 into 0.5 11.849 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.849 * [taylor]: Taking taylor expansion of 1.0 in k 11.849 * [backup-simplify]: Simplify 1.0 into 1.0 11.849 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.849 * [taylor]: Taking taylor expansion of k in k 11.849 * [backup-simplify]: Simplify 0 into 0 11.849 * [backup-simplify]: Simplify 1 into 1 11.849 * [backup-simplify]: Simplify (/ 1 1) into 1 11.849 * [taylor]: Taking taylor expansion of (log PI) in k 11.849 * [taylor]: Taking taylor expansion of PI in k 11.849 * [backup-simplify]: Simplify PI into PI 11.850 * [backup-simplify]: Simplify (log PI) into (log PI) 11.850 * [backup-simplify]: Simplify (- 1) into -1 11.850 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.851 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.852 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 11.852 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 11.852 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 11.852 * [taylor]: Taking taylor expansion of 1.0 in k 11.852 * [backup-simplify]: Simplify 1.0 into 1.0 11.852 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 11.852 * [taylor]: Taking taylor expansion of (sqrt k) in k 11.852 * [taylor]: Taking taylor expansion of k in k 11.852 * [backup-simplify]: Simplify 0 into 0 11.852 * [backup-simplify]: Simplify 1 into 1 11.853 * [backup-simplify]: Simplify (sqrt 0) into 0 11.854 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.854 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 11.854 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 11.854 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 11.854 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 11.854 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.854 * [taylor]: Taking taylor expansion of 0.5 in k 11.854 * [backup-simplify]: Simplify 0.5 into 0.5 11.854 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.854 * [taylor]: Taking taylor expansion of 1.0 in k 11.854 * [backup-simplify]: Simplify 1.0 into 1.0 11.854 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.854 * [taylor]: Taking taylor expansion of k in k 11.855 * [backup-simplify]: Simplify 0 into 0 11.855 * [backup-simplify]: Simplify 1 into 1 11.855 * [backup-simplify]: Simplify (/ 1 1) into 1 11.855 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.855 * [taylor]: Taking taylor expansion of 2.0 in k 11.855 * [backup-simplify]: Simplify 2.0 into 2.0 11.855 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.856 * [backup-simplify]: Simplify (- 1) into -1 11.856 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.857 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.857 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 11.858 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 11.858 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 11.858 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 11.858 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 11.858 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.858 * [taylor]: Taking taylor expansion of 0.5 in k 11.858 * [backup-simplify]: Simplify 0.5 into 0.5 11.858 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.858 * [taylor]: Taking taylor expansion of 1.0 in k 11.858 * [backup-simplify]: Simplify 1.0 into 1.0 11.858 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.858 * [taylor]: Taking taylor expansion of k in k 11.858 * [backup-simplify]: Simplify 0 into 0 11.858 * [backup-simplify]: Simplify 1 into 1 11.859 * [backup-simplify]: Simplify (/ 1 1) into 1 11.859 * [taylor]: Taking taylor expansion of (log PI) in k 11.859 * [taylor]: Taking taylor expansion of PI in k 11.859 * [backup-simplify]: Simplify PI into PI 11.859 * [backup-simplify]: Simplify (log PI) into (log PI) 11.860 * [backup-simplify]: Simplify (- 1) into -1 11.860 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.861 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.862 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 11.862 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 11.863 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) 11.865 * [backup-simplify]: Simplify (* 0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into 0 11.865 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.865 * [backup-simplify]: Simplify 0 into 0 11.866 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))) into 0 11.868 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 11.870 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 11.871 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 11.872 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))) into 0 11.875 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.877 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 11.879 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 11.880 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 11.881 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))))) into 0 11.890 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.892 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 11.895 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 11.895 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 11.898 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 3)))))))) 11.899 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (* (pow 2.0 (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)))) into (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) 11.899 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k) around 0 11.899 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 11.899 * [taylor]: Taking taylor expansion of 1.0 in k 11.899 * [backup-simplify]: Simplify 1.0 into 1.0 11.899 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 11.899 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 11.899 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 11.899 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 11.899 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 11.899 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.899 * [taylor]: Taking taylor expansion of 0.5 in k 11.899 * [backup-simplify]: Simplify 0.5 into 0.5 11.899 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.899 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.899 * [taylor]: Taking taylor expansion of k in k 11.899 * [backup-simplify]: Simplify 0 into 0 11.899 * [backup-simplify]: Simplify 1 into 1 11.899 * [backup-simplify]: Simplify (/ 1 1) into 1 11.899 * [taylor]: Taking taylor expansion of 1.0 in k 11.899 * [backup-simplify]: Simplify 1.0 into 1.0 11.899 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.899 * [taylor]: Taking taylor expansion of 2.0 in k 11.899 * [backup-simplify]: Simplify 2.0 into 2.0 11.900 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.900 * [backup-simplify]: Simplify (+ 1 0) into 1 11.900 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.901 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 11.901 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 11.901 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 11.901 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 11.901 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 11.901 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) 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) 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 11.902 * [backup-simplify]: Simplify (/ 1 1) into 1 11.902 * [taylor]: Taking taylor expansion of 1.0 in k 11.902 * [backup-simplify]: Simplify 1.0 into 1.0 11.902 * [taylor]: Taking taylor expansion of (log PI) in k 11.902 * [taylor]: Taking taylor expansion of PI in k 11.902 * [backup-simplify]: Simplify PI into PI 11.902 * [backup-simplify]: Simplify (log PI) into (log PI) 11.902 * [backup-simplify]: Simplify (+ 1 0) into 1 11.903 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.903 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.904 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 11.904 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 11.904 * [taylor]: Taking taylor expansion of (/ -1 k) in k 11.904 * [taylor]: Taking taylor expansion of -1 in k 11.904 * [backup-simplify]: Simplify -1 into -1 11.904 * [taylor]: Taking taylor expansion of k in k 11.904 * [backup-simplify]: Simplify 0 into 0 11.904 * [backup-simplify]: Simplify 1 into 1 11.904 * [backup-simplify]: Simplify (/ -1 1) into -1 11.904 * [backup-simplify]: Simplify (sqrt 0) into 0 11.905 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.906 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 11.906 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 11.907 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 11.907 * [taylor]: Taking taylor expansion of 1.0 in k 11.907 * [backup-simplify]: Simplify 1.0 into 1.0 11.907 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 11.907 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 11.907 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 11.907 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 11.907 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 11.907 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.907 * [taylor]: Taking taylor expansion of 0.5 in k 11.907 * [backup-simplify]: Simplify 0.5 into 0.5 11.907 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.907 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.907 * [taylor]: Taking taylor expansion of k in k 11.907 * [backup-simplify]: Simplify 0 into 0 11.907 * [backup-simplify]: Simplify 1 into 1 11.907 * [backup-simplify]: Simplify (/ 1 1) into 1 11.907 * [taylor]: Taking taylor expansion of 1.0 in k 11.907 * [backup-simplify]: Simplify 1.0 into 1.0 11.907 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.907 * [taylor]: Taking taylor expansion of 2.0 in k 11.907 * [backup-simplify]: Simplify 2.0 into 2.0 11.907 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.908 * [backup-simplify]: Simplify (+ 1 0) into 1 11.908 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.909 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 11.909 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 11.909 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 11.909 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 11.909 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 11.909 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.909 * [taylor]: Taking taylor expansion of 0.5 in k 11.909 * [backup-simplify]: Simplify 0.5 into 0.5 11.909 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.909 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.909 * [taylor]: Taking taylor expansion of k in k 11.909 * [backup-simplify]: Simplify 0 into 0 11.909 * [backup-simplify]: Simplify 1 into 1 11.909 * [backup-simplify]: Simplify (/ 1 1) into 1 11.909 * [taylor]: Taking taylor expansion of 1.0 in k 11.909 * [backup-simplify]: Simplify 1.0 into 1.0 11.909 * [taylor]: Taking taylor expansion of (log PI) in k 11.909 * [taylor]: Taking taylor expansion of PI in k 11.909 * [backup-simplify]: Simplify PI into PI 11.910 * [backup-simplify]: Simplify (log PI) into (log PI) 11.910 * [backup-simplify]: Simplify (+ 1 0) into 1 11.910 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.911 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.911 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 11.911 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 11.911 * [taylor]: Taking taylor expansion of (/ -1 k) in k 11.911 * [taylor]: Taking taylor expansion of -1 in k 11.911 * [backup-simplify]: Simplify -1 into -1 11.911 * [taylor]: Taking taylor expansion of k in k 11.911 * [backup-simplify]: Simplify 0 into 0 11.911 * [backup-simplify]: Simplify 1 into 1 11.912 * [backup-simplify]: Simplify (/ -1 1) into -1 11.912 * [backup-simplify]: Simplify (sqrt 0) into 0 11.913 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.913 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 11.914 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 11.915 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 11.916 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 11.916 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))))) into 0 11.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.919 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.920 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 11.922 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 11.923 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 11.924 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))))) into 0 11.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.927 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.930 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 11.934 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 11.935 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 11.940 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (/ 1 (- k))) (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))))))) into (- (+ (* +nan.0 (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2)))))))) 11.940 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 11.940 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 11.940 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 11.940 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 11.940 * [taylor]: Taking taylor expansion of 1.0 in k 11.940 * [backup-simplify]: Simplify 1.0 into 1.0 11.940 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.940 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.940 * [taylor]: Taking taylor expansion of k in k 11.940 * [backup-simplify]: Simplify 0 into 0 11.940 * [backup-simplify]: Simplify 1 into 1 11.941 * [backup-simplify]: Simplify (/ 1 1) into 1 11.941 * [backup-simplify]: Simplify (sqrt 0) into 0 11.942 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.942 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 11.942 * [taylor]: Taking taylor expansion of 1.0 in k 11.942 * [backup-simplify]: Simplify 1.0 into 1.0 11.942 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.942 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.942 * [taylor]: Taking taylor expansion of k in k 11.942 * [backup-simplify]: Simplify 0 into 0 11.942 * [backup-simplify]: Simplify 1 into 1 11.943 * [backup-simplify]: Simplify (/ 1 1) into 1 11.943 * [backup-simplify]: Simplify (sqrt 0) into 0 11.945 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.945 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.945 * [backup-simplify]: Simplify 0 into 0 11.947 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 11.947 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.951 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.953 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 11.953 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.958 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.959 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 11.960 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.961 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 11.961 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 11.961 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 11.961 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 11.961 * [taylor]: Taking taylor expansion of 1.0 in k 11.961 * [backup-simplify]: Simplify 1.0 into 1.0 11.961 * [taylor]: Taking taylor expansion of (sqrt k) in k 11.961 * [taylor]: Taking taylor expansion of k in k 11.961 * [backup-simplify]: Simplify 0 into 0 11.961 * [backup-simplify]: Simplify 1 into 1 11.961 * [backup-simplify]: Simplify (sqrt 0) into 0 11.962 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.962 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 11.962 * [taylor]: Taking taylor expansion of 1.0 in k 11.962 * [backup-simplify]: Simplify 1.0 into 1.0 11.962 * [taylor]: Taking taylor expansion of (sqrt k) in k 11.962 * [taylor]: Taking taylor expansion of k in k 11.962 * [backup-simplify]: Simplify 0 into 0 11.962 * [backup-simplify]: Simplify 1 into 1 11.962 * [backup-simplify]: Simplify (sqrt 0) into 0 11.963 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.963 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.963 * [backup-simplify]: Simplify 0 into 0 11.964 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 11.964 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.966 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.967 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 11.968 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.970 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.971 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 11.971 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.972 * [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)))))))) 11.973 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 11.973 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 11.973 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 11.973 * [taylor]: Taking taylor expansion of 1.0 in k 11.973 * [backup-simplify]: Simplify 1.0 into 1.0 11.973 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 11.973 * [taylor]: Taking taylor expansion of (/ -1 k) in k 11.973 * [taylor]: Taking taylor expansion of -1 in k 11.973 * [backup-simplify]: Simplify -1 into -1 11.973 * [taylor]: Taking taylor expansion of k in k 11.973 * [backup-simplify]: Simplify 0 into 0 11.973 * [backup-simplify]: Simplify 1 into 1 11.973 * [backup-simplify]: Simplify (/ -1 1) into -1 11.973 * [backup-simplify]: Simplify (sqrt 0) into 0 11.974 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.974 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 11.974 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 11.974 * [taylor]: Taking taylor expansion of 1.0 in k 11.974 * [backup-simplify]: Simplify 1.0 into 1.0 11.974 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 11.974 * [taylor]: Taking taylor expansion of (/ -1 k) in k 11.975 * [taylor]: Taking taylor expansion of -1 in k 11.975 * [backup-simplify]: Simplify -1 into -1 11.975 * [taylor]: Taking taylor expansion of k in k 11.975 * [backup-simplify]: Simplify 0 into 0 11.975 * [backup-simplify]: Simplify 1 into 1 11.975 * [backup-simplify]: Simplify (/ -1 1) into -1 11.975 * [backup-simplify]: Simplify (sqrt 0) into 0 11.976 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.976 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 11.976 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.978 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.980 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 11.980 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.983 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.986 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 11.986 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.987 * [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))))) 11.987 * * * [progress]: simplifying candidates 11.990 * [simplify]: Simplifying: (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI 1) (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log 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PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2)))))))) (- (+ (* +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))))) 12.000 * * [simplify]: Extracting # 0 : cost 0 12.001 * * [simplify]: Extracting # 1 : cost 0 12.002 * * [simplify]: Extracting # 2 : cost 0 12.012 * * [simplify]: Extracting # 3 : cost 0 12.013 * * [simplify]: Extracting # 4 : cost 0 12.014 * * [simplify]: Extracting # 5 : cost 0 12.015 * * [simplify]: Extracting # 6 : cost 0 12.016 * * [simplify]: Extracting # 7 : cost 0 12.017 * * [simplify]: Extracting # 8 : cost 0 12.018 * * [simplify]: Extracting # 9 : cost 0 12.020 * * [simplify]: Extracting # 10 : cost 0 12.021 * * [simplify]: Extracting # 11 : cost 0 12.022 * * [simplify]: Extracting # 12 : cost 0 12.023 * * [simplify]: Extracting # 13 : cost 0 12.024 * * [simplify]: Extracting # 14 : cost 0 12.025 * * [simplify]: Extracting # 15 : cost 0 12.026 * * [simplify]: Extracting # 16 : cost 0 12.027 * * [simplify]: Extracting # 17 : cost 0 12.028 * * [simplify]: Extracting # 18 : cost 0 12.029 * * [simplify]: Extracting # 19 : cost 0 12.030 * * [simplify]: Extracting # 20 : cost 0 12.031 * * [simplify]: Extracting # 21 : cost 0 12.032 * * [simplify]: Extracting # 22 : cost 0 12.033 * * [simplify]: Extracting # 23 : cost 0 12.035 * * [simplify]: Extracting # 24 : cost 0 12.036 * * [simplify]: Extracting # 25 : cost 0 12.037 * * [simplify]: Extracting # 26 : cost 0 12.038 * * [simplify]: Extracting # 27 : cost 0 12.039 * * [simplify]: Extracting # 28 : cost 0 12.040 * * [simplify]: Extracting # 29 : cost 0 12.041 * * [simplify]: Extracting # 30 : cost 0 12.042 * * [simplify]: Extracting # 31 : cost 0 12.043 * * [simplify]: Extracting # 32 : cost 0 12.045 * * [simplify]: iteration 0 : 376 enodes (cost 3141 ) 12.197 * * [simplify]: Extracting # 0 : cost 0 12.199 * * [simplify]: Extracting # 1 : cost 0 12.202 * * [simplify]: Extracting # 2 : cost 0 12.205 * * [simplify]: Extracting # 3 : cost 0 12.208 * * [simplify]: Extracting # 4 : cost 0 12.211 * * [simplify]: Extracting # 5 : cost 0 12.220 * * [simplify]: Extracting # 6 : cost 0 12.223 * * [simplify]: iteration 1 : 1009 enodes (cost 2818 ) 12.790 * * [simplify]: Extracting # 0 : cost 0 12.798 * * [simplify]: Extracting # 1 : cost 0 12.806 * * [simplify]: Extracting # 2 : cost 0 12.815 * * [simplify]: Extracting # 3 : cost 0 12.826 * * [simplify]: Extracting # 4 : cost 0 12.830 * * [simplify]: Extracting # 5 : cost 0 12.835 * * [simplify]: iteration 2 : 3225 enodes (cost 2638 ) 14.028 * * [simplify]: Extracting # 0 : cost 0 14.038 * * [simplify]: Extracting # 1 : cost 0 14.052 * * [simplify]: Extracting # 2 : cost 0 14.064 * * [simplify]: Extracting # 3 : cost 0 14.076 * * [simplify]: Extracting # 4 : cost 0 14.096 * * [simplify]: iteration done: 5000 enodes (cost 2624 ) 14.099 * [simplify]: Simplified to: (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (sqrt (- 1.0 k))) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (+ 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(cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (exp (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (/ (* (pow 1.0 3) (pow (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) 3)) (* (sqrt k) k)) (/ (* (pow 1.0 3) (pow (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) 3)) (* (sqrt k) k)) (pow (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (pow (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) 3) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (pow PI (/ k 2.0))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow 2.0 (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (/ (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (sqrt k)) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) 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 k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (pow PI (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (exp (* 0.5 (- 1.0 k))) (+ 0 (log n))) (- (+ (- (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (+ (- (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* +nan.0 (- (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))))) (+ (/ (* (- +nan.0) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k))))) (* k k)) (* +nan.0 (- (/ (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) k) (/ (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) k) (* (/ (pow 2.0 (* 0.5 (- 1.0 k))) (pow k 2)) (pow PI (* 0.5 (- 1.0 k)))))) (* (- +nan.0) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))))) (- (- (* +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 k) +nan.0) (/ (- +nan.0) (pow k 2))) 14.101 * * * [progress]: adding candidates to table 14.938 * * [progress]: iteration 4 / 4 14.938 * * * [progress]: picking best candidate 14.959 * * * * [pick]: Picked # 14.959 * * * [progress]: localizing error 15.001 * * * [progress]: generating rewritten candidates 15.001 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 15.017 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 15.053 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 15.075 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 15.115 * * * [progress]: generating series expansions 15.115 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 15.115 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 15.115 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 15.115 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 15.115 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 15.115 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 15.115 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 15.116 * [taylor]: Taking taylor expansion of 0.5 in k 15.116 * [backup-simplify]: Simplify 0.5 into 0.5 15.116 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.116 * [taylor]: Taking taylor expansion of 1.0 in k 15.116 * [backup-simplify]: Simplify 1.0 into 1.0 15.116 * [taylor]: Taking taylor expansion of k in k 15.116 * [backup-simplify]: Simplify 0 into 0 15.116 * [backup-simplify]: Simplify 1 into 1 15.116 * [taylor]: Taking taylor expansion of (log PI) in k 15.116 * [taylor]: Taking taylor expansion of PI in k 15.116 * [backup-simplify]: Simplify PI into PI 15.116 * [backup-simplify]: Simplify (log PI) into (log PI) 15.117 * [backup-simplify]: Simplify (- 0) into 0 15.117 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.117 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 15.118 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 15.126 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 15.126 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 15.126 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 15.126 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 15.126 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 15.126 * [taylor]: Taking taylor expansion of 0.5 in k 15.126 * [backup-simplify]: Simplify 0.5 into 0.5 15.126 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.126 * [taylor]: Taking taylor expansion of 1.0 in k 15.126 * [backup-simplify]: Simplify 1.0 into 1.0 15.126 * [taylor]: Taking taylor expansion of k in k 15.126 * [backup-simplify]: Simplify 0 into 0 15.126 * [backup-simplify]: Simplify 1 into 1 15.126 * [taylor]: Taking taylor expansion of (log PI) in k 15.126 * [taylor]: Taking taylor expansion of PI in k 15.126 * [backup-simplify]: Simplify PI into PI 15.127 * [backup-simplify]: Simplify (log PI) into (log PI) 15.127 * [backup-simplify]: Simplify (- 0) into 0 15.127 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.128 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 15.128 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 15.129 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 15.130 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 15.131 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 15.131 * [backup-simplify]: Simplify (- 1) into -1 15.131 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.132 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 15.134 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 15.140 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 15.142 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 15.144 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 15.144 * [backup-simplify]: Simplify (- 0) into 0 15.145 * [backup-simplify]: Simplify (+ 0 0) into 0 15.145 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 15.146 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 15.153 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 15.158 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 15.168 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) k) (pow PI 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) 15.169 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 15.169 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 15.169 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 15.169 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 15.169 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 15.169 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 15.169 * [taylor]: Taking taylor expansion of 0.5 in k 15.169 * [backup-simplify]: Simplify 0.5 into 0.5 15.169 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.169 * [taylor]: Taking taylor expansion of 1.0 in k 15.169 * [backup-simplify]: Simplify 1.0 into 1.0 15.169 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.169 * [taylor]: Taking taylor expansion of k in k 15.169 * [backup-simplify]: Simplify 0 into 0 15.169 * [backup-simplify]: Simplify 1 into 1 15.170 * [backup-simplify]: Simplify (/ 1 1) into 1 15.170 * [taylor]: Taking taylor expansion of (log PI) in k 15.170 * [taylor]: Taking taylor expansion of PI in k 15.170 * [backup-simplify]: Simplify PI into PI 15.171 * [backup-simplify]: Simplify (log PI) into (log PI) 15.171 * [backup-simplify]: Simplify (- 1) into -1 15.172 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.172 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 15.173 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 15.174 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 15.174 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 15.174 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 15.174 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 15.174 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 15.174 * [taylor]: Taking taylor expansion of 0.5 in k 15.174 * [backup-simplify]: Simplify 0.5 into 0.5 15.174 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.174 * [taylor]: Taking taylor expansion of 1.0 in k 15.174 * [backup-simplify]: Simplify 1.0 into 1.0 15.174 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.174 * [taylor]: Taking taylor expansion of k in k 15.174 * [backup-simplify]: Simplify 0 into 0 15.174 * [backup-simplify]: Simplify 1 into 1 15.175 * [backup-simplify]: Simplify (/ 1 1) into 1 15.175 * [taylor]: Taking taylor expansion of (log PI) in k 15.175 * [taylor]: Taking taylor expansion of PI in k 15.175 * [backup-simplify]: Simplify PI into PI 15.175 * [backup-simplify]: Simplify (log PI) into (log PI) 15.176 * [backup-simplify]: Simplify (- 1) into -1 15.176 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.177 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 15.178 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 15.178 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 15.179 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 15.179 * [backup-simplify]: Simplify 0 into 0 15.179 * [backup-simplify]: Simplify 0 into 0 15.179 * [backup-simplify]: Simplify 0 into 0 15.179 * [backup-simplify]: Simplify 0 into 0 15.179 * [backup-simplify]: Simplify 0 into 0 15.180 * [backup-simplify]: Simplify 0 into 0 15.180 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 15.180 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 15.180 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 15.180 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 15.181 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 15.181 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 15.181 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 15.181 * [taylor]: Taking taylor expansion of 0.5 in k 15.181 * [backup-simplify]: Simplify 0.5 into 0.5 15.181 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.181 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.181 * [taylor]: Taking taylor expansion of k in k 15.181 * [backup-simplify]: Simplify 0 into 0 15.181 * [backup-simplify]: Simplify 1 into 1 15.181 * [backup-simplify]: Simplify (/ 1 1) into 1 15.181 * [taylor]: Taking taylor expansion of 1.0 in k 15.181 * [backup-simplify]: Simplify 1.0 into 1.0 15.181 * [taylor]: Taking taylor expansion of (log PI) in k 15.181 * [taylor]: Taking taylor expansion of PI in k 15.181 * [backup-simplify]: Simplify PI into PI 15.182 * [backup-simplify]: Simplify (log PI) into (log PI) 15.182 * [backup-simplify]: Simplify (+ 1 0) into 1 15.183 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.183 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 15.184 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 15.184 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 15.184 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 15.184 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 15.184 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 15.184 * [taylor]: Taking taylor expansion of 0.5 in k 15.184 * [backup-simplify]: Simplify 0.5 into 0.5 15.184 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.184 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.184 * [taylor]: Taking taylor expansion of k in k 15.184 * [backup-simplify]: Simplify 0 into 0 15.184 * [backup-simplify]: Simplify 1 into 1 15.184 * [backup-simplify]: Simplify (/ 1 1) into 1 15.184 * [taylor]: Taking taylor expansion of 1.0 in k 15.184 * [backup-simplify]: Simplify 1.0 into 1.0 15.184 * [taylor]: Taking taylor expansion of (log PI) in k 15.184 * [taylor]: Taking taylor expansion of PI in k 15.184 * [backup-simplify]: Simplify PI into PI 15.185 * [backup-simplify]: Simplify (log PI) into (log PI) 15.185 * [backup-simplify]: Simplify (+ 1 0) into 1 15.185 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.186 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 15.186 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 15.187 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 15.187 * [backup-simplify]: Simplify 0 into 0 15.187 * [backup-simplify]: Simplify 0 into 0 15.187 * [backup-simplify]: Simplify 0 into 0 15.187 * [backup-simplify]: Simplify 0 into 0 15.187 * [backup-simplify]: Simplify 0 into 0 15.187 * [backup-simplify]: Simplify 0 into 0 15.187 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 15.187 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 15.188 * [backup-simplify]: Simplify (pow n (/ (/ (- 1.0 k) 2.0) 2)) into (pow n (* 0.25 (- 1.0 k))) 15.188 * [approximate]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in (n k) around 0 15.188 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 15.188 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 15.188 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 15.188 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 15.188 * [taylor]: Taking taylor expansion of 0.25 in k 15.188 * [backup-simplify]: Simplify 0.25 into 0.25 15.188 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.188 * [taylor]: Taking taylor expansion of 1.0 in k 15.188 * [backup-simplify]: Simplify 1.0 into 1.0 15.188 * [taylor]: Taking taylor expansion of k in k 15.188 * [backup-simplify]: Simplify 0 into 0 15.188 * [backup-simplify]: Simplify 1 into 1 15.188 * [taylor]: Taking taylor expansion of (log n) in k 15.188 * [taylor]: Taking taylor expansion of n in k 15.188 * [backup-simplify]: Simplify n into n 15.188 * [backup-simplify]: Simplify (log n) into (log n) 15.188 * [backup-simplify]: Simplify (- 0) into 0 15.188 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.189 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 15.189 * [backup-simplify]: Simplify (* 0.25 (log n)) into (* 0.25 (log n)) 15.189 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 15.189 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 15.189 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 15.189 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 15.189 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 15.189 * [taylor]: Taking taylor expansion of 0.25 in n 15.189 * [backup-simplify]: Simplify 0.25 into 0.25 15.189 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.189 * [taylor]: Taking taylor expansion of 1.0 in n 15.189 * [backup-simplify]: Simplify 1.0 into 1.0 15.189 * [taylor]: Taking taylor expansion of k in n 15.189 * [backup-simplify]: Simplify k into k 15.189 * [taylor]: Taking taylor expansion of (log n) in n 15.189 * [taylor]: Taking taylor expansion of n in n 15.189 * [backup-simplify]: Simplify 0 into 0 15.189 * [backup-simplify]: Simplify 1 into 1 15.189 * [backup-simplify]: Simplify (log 1) into 0 15.189 * [backup-simplify]: Simplify (- k) into (- k) 15.189 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.190 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 15.190 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.190 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 15.190 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 15.190 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 15.190 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 15.190 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 15.190 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 15.190 * [taylor]: Taking taylor expansion of 0.25 in n 15.190 * [backup-simplify]: Simplify 0.25 into 0.25 15.190 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.190 * [taylor]: Taking taylor expansion of 1.0 in n 15.190 * [backup-simplify]: Simplify 1.0 into 1.0 15.190 * [taylor]: Taking taylor expansion of k in n 15.190 * [backup-simplify]: Simplify k into k 15.190 * [taylor]: Taking taylor expansion of (log n) in n 15.190 * [taylor]: Taking taylor expansion of n in n 15.190 * [backup-simplify]: Simplify 0 into 0 15.190 * [backup-simplify]: Simplify 1 into 1 15.191 * [backup-simplify]: Simplify (log 1) into 0 15.191 * [backup-simplify]: Simplify (- k) into (- k) 15.191 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.191 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 15.191 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.191 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 15.191 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 15.191 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (log n)))) in k 15.191 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (log n))) in k 15.191 * [taylor]: Taking taylor expansion of 0.25 in k 15.191 * [backup-simplify]: Simplify 0.25 into 0.25 15.191 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 15.191 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.191 * [taylor]: Taking taylor expansion of 1.0 in k 15.191 * [backup-simplify]: Simplify 1.0 into 1.0 15.191 * [taylor]: Taking taylor expansion of k in k 15.191 * [backup-simplify]: Simplify 0 into 0 15.191 * [backup-simplify]: Simplify 1 into 1 15.191 * [taylor]: Taking taylor expansion of (log n) in k 15.191 * [taylor]: Taking taylor expansion of n in k 15.191 * [backup-simplify]: Simplify n into n 15.191 * [backup-simplify]: Simplify (log n) into (log n) 15.192 * [backup-simplify]: Simplify (- 0) into 0 15.192 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.192 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.192 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (log n))) into (* 0.25 (log n)) 15.192 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 15.192 * [backup-simplify]: Simplify (pow n 0.25) into (pow n 0.25) 15.193 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.193 * [backup-simplify]: Simplify (- 0) into 0 15.194 * [backup-simplify]: Simplify (+ 0 0) into 0 15.194 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 15.194 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.194 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (log n))) into 0 15.195 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.195 * [taylor]: Taking taylor expansion of 0 in k 15.195 * [backup-simplify]: Simplify 0 into 0 15.195 * [backup-simplify]: Simplify 0 into 0 15.196 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 15.196 * [backup-simplify]: Simplify (- 1) into -1 15.196 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.197 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 15.197 * [backup-simplify]: Simplify (+ (* 0.25 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.25 (log n))) 15.197 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 1) 1)))) into (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) 15.197 * [backup-simplify]: Simplify (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) into (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) 15.199 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.199 * [backup-simplify]: Simplify (- 0) into 0 15.199 * [backup-simplify]: Simplify (+ 0 0) into 0 15.200 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 15.200 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.201 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 15.201 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.202 * [taylor]: Taking taylor expansion of 0 in k 15.202 * [backup-simplify]: Simplify 0 into 0 15.202 * [backup-simplify]: Simplify 0 into 0 15.202 * [backup-simplify]: Simplify 0 into 0 15.203 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 15.203 * [backup-simplify]: Simplify (- 0) into 0 15.203 * [backup-simplify]: Simplify (+ 0 0) into 0 15.204 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 15.204 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 15.205 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) 15.205 * [backup-simplify]: Simplify (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) into (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) 15.206 * [backup-simplify]: Simplify (+ (* (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) (* k 1)) (pow n 0.25))) into (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) 15.206 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 15.206 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 15.206 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 15.206 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 15.206 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 15.206 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 15.206 * [taylor]: Taking taylor expansion of 0.25 in k 15.206 * [backup-simplify]: Simplify 0.25 into 0.25 15.206 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.206 * [taylor]: Taking taylor expansion of 1.0 in k 15.207 * [backup-simplify]: Simplify 1.0 into 1.0 15.207 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.207 * [taylor]: Taking taylor expansion of k in k 15.207 * [backup-simplify]: Simplify 0 into 0 15.207 * [backup-simplify]: Simplify 1 into 1 15.207 * [backup-simplify]: Simplify (/ 1 1) into 1 15.207 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 15.207 * [taylor]: Taking taylor expansion of (/ 1 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 (/ 1 n) into (/ 1 n) 15.207 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 15.207 * [backup-simplify]: Simplify (- 1) into -1 15.208 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.208 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 15.208 * [backup-simplify]: Simplify (* -0.25 (log (/ 1 n))) into (* -0.25 (log (/ 1 n))) 15.208 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 15.208 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 15.208 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 15.208 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 15.208 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 15.208 * [taylor]: Taking taylor expansion of 0.25 in n 15.208 * [backup-simplify]: Simplify 0.25 into 0.25 15.208 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.208 * [taylor]: Taking taylor expansion of 1.0 in n 15.208 * [backup-simplify]: Simplify 1.0 into 1.0 15.208 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.208 * [taylor]: Taking taylor expansion of k in n 15.208 * [backup-simplify]: Simplify k into k 15.208 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.208 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.208 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.208 * [taylor]: Taking taylor expansion of n in n 15.208 * [backup-simplify]: Simplify 0 into 0 15.208 * [backup-simplify]: Simplify 1 into 1 15.209 * [backup-simplify]: Simplify (/ 1 1) into 1 15.209 * [backup-simplify]: Simplify (log 1) into 0 15.209 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.209 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.209 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 15.209 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.210 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 15.210 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 15.210 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 15.210 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 15.210 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 15.210 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 15.210 * [taylor]: Taking taylor expansion of 0.25 in n 15.210 * [backup-simplify]: Simplify 0.25 into 0.25 15.210 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.210 * [taylor]: Taking taylor expansion of 1.0 in n 15.210 * [backup-simplify]: Simplify 1.0 into 1.0 15.210 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.210 * [taylor]: Taking taylor expansion of k in n 15.210 * [backup-simplify]: Simplify k into k 15.210 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.210 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.210 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.210 * [taylor]: Taking taylor expansion of n in n 15.210 * [backup-simplify]: Simplify 0 into 0 15.210 * [backup-simplify]: Simplify 1 into 1 15.211 * [backup-simplify]: Simplify (/ 1 1) into 1 15.211 * [backup-simplify]: Simplify (log 1) into 0 15.211 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.211 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.211 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 15.211 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.211 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 15.212 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 15.212 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) in k 15.212 * [taylor]: Taking taylor expansion of (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) in k 15.212 * [taylor]: Taking taylor expansion of -0.25 in k 15.212 * [backup-simplify]: Simplify -0.25 into -0.25 15.212 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 15.212 * [taylor]: Taking taylor expansion of (log n) in k 15.212 * [taylor]: Taking taylor expansion of n in k 15.212 * [backup-simplify]: Simplify n into n 15.212 * [backup-simplify]: Simplify (log n) into (log n) 15.212 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.212 * [taylor]: Taking taylor expansion of 1.0 in k 15.212 * [backup-simplify]: Simplify 1.0 into 1.0 15.212 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.212 * [taylor]: Taking taylor expansion of k in k 15.212 * [backup-simplify]: Simplify 0 into 0 15.212 * [backup-simplify]: Simplify 1 into 1 15.212 * [backup-simplify]: Simplify (/ 1 1) into 1 15.212 * [backup-simplify]: Simplify (- 1) into -1 15.213 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.213 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 15.213 * [backup-simplify]: Simplify (* -0.25 (* -1 (log n))) into (* 0.25 (log n)) 15.213 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 15.213 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 15.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.215 * [backup-simplify]: Simplify (- 0) into 0 15.215 * [backup-simplify]: Simplify (+ 0 0) into 0 15.215 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 15.216 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.216 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 15.216 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.216 * [taylor]: Taking taylor expansion of 0 in k 15.216 * [backup-simplify]: Simplify 0 into 0 15.216 * [backup-simplify]: Simplify 0 into 0 15.216 * [backup-simplify]: Simplify 0 into 0 15.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.219 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.220 * [backup-simplify]: Simplify (- 0) into 0 15.220 * [backup-simplify]: Simplify (+ 0 0) into 0 15.221 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 15.221 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.222 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 15.223 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.223 * [taylor]: Taking taylor expansion of 0 in k 15.223 * [backup-simplify]: Simplify 0 into 0 15.223 * [backup-simplify]: Simplify 0 into 0 15.224 * [backup-simplify]: Simplify 0 into 0 15.224 * [backup-simplify]: Simplify 0 into 0 15.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.230 * [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 15.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.231 * [backup-simplify]: Simplify (- 0) into 0 15.231 * [backup-simplify]: Simplify (+ 0 0) into 0 15.232 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 15.232 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.233 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 15.234 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.234 * [taylor]: Taking taylor expansion of 0 in k 15.234 * [backup-simplify]: Simplify 0 into 0 15.234 * [backup-simplify]: Simplify 0 into 0 15.234 * [backup-simplify]: Simplify (exp (* -0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) 15.235 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 15.235 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 15.235 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 15.235 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 15.235 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 15.235 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 15.235 * [taylor]: Taking taylor expansion of 0.25 in k 15.235 * [backup-simplify]: Simplify 0.25 into 0.25 15.235 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.235 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.235 * [taylor]: Taking taylor expansion of k in k 15.235 * [backup-simplify]: Simplify 0 into 0 15.235 * [backup-simplify]: Simplify 1 into 1 15.235 * [backup-simplify]: Simplify (/ 1 1) into 1 15.235 * [taylor]: Taking taylor expansion of 1.0 in k 15.235 * [backup-simplify]: Simplify 1.0 into 1.0 15.235 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 15.235 * [taylor]: Taking taylor expansion of (/ -1 n) in k 15.235 * [taylor]: Taking taylor expansion of -1 in k 15.235 * [backup-simplify]: Simplify -1 into -1 15.235 * [taylor]: Taking taylor expansion of n in k 15.235 * [backup-simplify]: Simplify n into n 15.235 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 15.235 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 15.236 * [backup-simplify]: Simplify (+ 1 0) into 1 15.236 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 15.236 * [backup-simplify]: Simplify (* 0.25 (log (/ -1 n))) into (* 0.25 (log (/ -1 n))) 15.236 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 15.236 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 15.236 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 15.236 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 15.236 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 15.236 * [taylor]: Taking taylor expansion of 0.25 in n 15.236 * [backup-simplify]: Simplify 0.25 into 0.25 15.236 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.236 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.236 * [taylor]: Taking taylor expansion of k in n 15.236 * [backup-simplify]: Simplify k into k 15.236 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.236 * [taylor]: Taking taylor expansion of 1.0 in n 15.236 * [backup-simplify]: Simplify 1.0 into 1.0 15.236 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.236 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.236 * [taylor]: Taking taylor expansion of -1 in n 15.236 * [backup-simplify]: Simplify -1 into -1 15.236 * [taylor]: Taking taylor expansion of n in n 15.236 * [backup-simplify]: Simplify 0 into 0 15.236 * [backup-simplify]: Simplify 1 into 1 15.237 * [backup-simplify]: Simplify (/ -1 1) into -1 15.237 * [backup-simplify]: Simplify (log -1) into (log -1) 15.237 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.237 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 15.238 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.238 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.244 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.244 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 15.244 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 15.245 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 15.245 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 15.245 * [taylor]: Taking taylor expansion of 0.25 in n 15.245 * [backup-simplify]: Simplify 0.25 into 0.25 15.245 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.245 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.245 * [taylor]: Taking taylor expansion of k in n 15.245 * [backup-simplify]: Simplify k into k 15.245 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.245 * [taylor]: Taking taylor expansion of 1.0 in n 15.245 * [backup-simplify]: Simplify 1.0 into 1.0 15.245 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.245 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.245 * [taylor]: Taking taylor expansion of -1 in n 15.245 * [backup-simplify]: Simplify -1 into -1 15.245 * [taylor]: Taking taylor expansion of n in n 15.245 * [backup-simplify]: Simplify 0 into 0 15.245 * [backup-simplify]: Simplify 1 into 1 15.245 * [backup-simplify]: Simplify (/ -1 1) into -1 15.246 * [backup-simplify]: Simplify (log -1) into (log -1) 15.246 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.246 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 15.247 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.247 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.248 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.248 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 15.248 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 15.248 * [taylor]: Taking taylor expansion of 0.25 in k 15.248 * [backup-simplify]: Simplify 0.25 into 0.25 15.248 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 15.248 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 15.248 * [taylor]: Taking taylor expansion of (log -1) in k 15.248 * [taylor]: Taking taylor expansion of -1 in k 15.248 * [backup-simplify]: Simplify -1 into -1 15.248 * [backup-simplify]: Simplify (log -1) into (log -1) 15.248 * [taylor]: Taking taylor expansion of (log n) in k 15.248 * [taylor]: Taking taylor expansion of n in k 15.248 * [backup-simplify]: Simplify n into n 15.249 * [backup-simplify]: Simplify (log n) into (log n) 15.249 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.249 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.249 * [taylor]: Taking taylor expansion of k in k 15.249 * [backup-simplify]: Simplify 0 into 0 15.249 * [backup-simplify]: Simplify 1 into 1 15.249 * [backup-simplify]: Simplify (/ 1 1) into 1 15.249 * [taylor]: Taking taylor expansion of 1.0 in k 15.249 * [backup-simplify]: Simplify 1.0 into 1.0 15.249 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 15.249 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 15.250 * [backup-simplify]: Simplify (+ 1 0) into 1 15.250 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 15.250 * [backup-simplify]: Simplify (* 0.25 (- (log -1) (log n))) into (* 0.25 (- (log -1) (log n))) 15.251 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.251 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.253 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 15.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.253 * [backup-simplify]: Simplify (+ 0 0) into 0 15.253 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 15.254 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.254 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 15.255 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.255 * [taylor]: Taking taylor expansion of 0 in k 15.255 * [backup-simplify]: Simplify 0 into 0 15.255 * [backup-simplify]: Simplify 0 into 0 15.255 * [backup-simplify]: Simplify 0 into 0 15.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.258 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 15.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.258 * [backup-simplify]: Simplify (+ 0 0) into 0 15.259 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 15.259 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.260 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 15.261 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.261 * [taylor]: Taking taylor expansion of 0 in k 15.261 * [backup-simplify]: Simplify 0 into 0 15.261 * [backup-simplify]: Simplify 0 into 0 15.261 * [backup-simplify]: Simplify 0 into 0 15.261 * [backup-simplify]: Simplify 0 into 0 15.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.265 * [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 15.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.265 * [backup-simplify]: Simplify (+ 0 0) into 0 15.266 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 15.267 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.268 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 15.269 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.269 * [taylor]: Taking taylor expansion of 0 in k 15.269 * [backup-simplify]: Simplify 0 into 0 15.269 * [backup-simplify]: Simplify 0 into 0 15.270 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 15.270 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 15.270 * [backup-simplify]: Simplify (pow n (/ (/ (- 1.0 k) 2.0) 2)) into (pow n (* 0.25 (- 1.0 k))) 15.270 * [approximate]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in (n k) around 0 15.270 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 15.270 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 15.270 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 15.270 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 15.270 * [taylor]: Taking taylor expansion of 0.25 in k 15.270 * [backup-simplify]: Simplify 0.25 into 0.25 15.270 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.270 * [taylor]: Taking taylor expansion of 1.0 in k 15.270 * [backup-simplify]: Simplify 1.0 into 1.0 15.270 * [taylor]: Taking taylor expansion of k in k 15.270 * [backup-simplify]: Simplify 0 into 0 15.270 * [backup-simplify]: Simplify 1 into 1 15.270 * [taylor]: Taking taylor expansion of (log n) in k 15.270 * [taylor]: Taking taylor expansion of n in k 15.270 * [backup-simplify]: Simplify n into n 15.270 * [backup-simplify]: Simplify (log n) into (log n) 15.271 * [backup-simplify]: Simplify (- 0) into 0 15.271 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.271 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 15.271 * [backup-simplify]: Simplify (* 0.25 (log n)) into (* 0.25 (log n)) 15.271 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 15.271 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 15.271 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 15.271 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 15.271 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 15.271 * [taylor]: Taking taylor expansion of 0.25 in n 15.271 * [backup-simplify]: Simplify 0.25 into 0.25 15.271 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.271 * [taylor]: Taking taylor expansion of 1.0 in n 15.271 * [backup-simplify]: Simplify 1.0 into 1.0 15.271 * [taylor]: Taking taylor expansion of k in n 15.271 * [backup-simplify]: Simplify k into k 15.271 * [taylor]: Taking taylor expansion of (log n) in n 15.271 * [taylor]: Taking taylor expansion of n in n 15.271 * [backup-simplify]: Simplify 0 into 0 15.271 * [backup-simplify]: Simplify 1 into 1 15.272 * [backup-simplify]: Simplify (log 1) into 0 15.272 * [backup-simplify]: Simplify (- k) into (- k) 15.272 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.272 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 15.272 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.272 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 15.272 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 15.272 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 15.272 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 15.272 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 15.272 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 15.272 * [taylor]: Taking taylor expansion of 0.25 in n 15.272 * [backup-simplify]: Simplify 0.25 into 0.25 15.272 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.273 * [taylor]: Taking taylor expansion of 1.0 in n 15.273 * [backup-simplify]: Simplify 1.0 into 1.0 15.273 * [taylor]: Taking taylor expansion of k in n 15.273 * [backup-simplify]: Simplify k into k 15.273 * [taylor]: Taking taylor expansion of (log n) in n 15.273 * [taylor]: Taking taylor expansion of n in n 15.273 * [backup-simplify]: Simplify 0 into 0 15.273 * [backup-simplify]: Simplify 1 into 1 15.273 * [backup-simplify]: Simplify (log 1) into 0 15.273 * [backup-simplify]: Simplify (- k) into (- k) 15.273 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.273 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 15.273 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.273 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 15.273 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 15.274 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (log n)))) in k 15.274 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (log n))) in k 15.274 * [taylor]: Taking taylor expansion of 0.25 in k 15.274 * [backup-simplify]: Simplify 0.25 into 0.25 15.274 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 15.274 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.274 * [taylor]: Taking taylor expansion of 1.0 in k 15.274 * [backup-simplify]: Simplify 1.0 into 1.0 15.274 * [taylor]: Taking taylor expansion of k in k 15.274 * [backup-simplify]: Simplify 0 into 0 15.274 * [backup-simplify]: Simplify 1 into 1 15.274 * [taylor]: Taking taylor expansion of (log n) in k 15.274 * [taylor]: Taking taylor expansion of n in k 15.274 * [backup-simplify]: Simplify n into n 15.274 * [backup-simplify]: Simplify (log n) into (log n) 15.274 * [backup-simplify]: Simplify (- 0) into 0 15.274 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.274 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.275 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (log n))) into (* 0.25 (log n)) 15.275 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 15.275 * [backup-simplify]: Simplify (pow n 0.25) into (pow n 0.25) 15.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.276 * [backup-simplify]: Simplify (- 0) into 0 15.276 * [backup-simplify]: Simplify (+ 0 0) into 0 15.276 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 15.277 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.277 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (log n))) into 0 15.277 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.277 * [taylor]: Taking taylor expansion of 0 in k 15.277 * [backup-simplify]: Simplify 0 into 0 15.277 * [backup-simplify]: Simplify 0 into 0 15.278 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 15.278 * [backup-simplify]: Simplify (- 1) into -1 15.278 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.279 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 15.279 * [backup-simplify]: Simplify (+ (* 0.25 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.25 (log n))) 15.279 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 1) 1)))) into (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) 15.279 * [backup-simplify]: Simplify (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) into (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) 15.281 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.281 * [backup-simplify]: Simplify (- 0) into 0 15.281 * [backup-simplify]: Simplify (+ 0 0) into 0 15.282 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 15.282 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.283 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 15.284 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.284 * [taylor]: Taking taylor expansion of 0 in k 15.284 * [backup-simplify]: Simplify 0 into 0 15.284 * [backup-simplify]: Simplify 0 into 0 15.284 * [backup-simplify]: Simplify 0 into 0 15.285 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 15.285 * [backup-simplify]: Simplify (- 0) into 0 15.286 * [backup-simplify]: Simplify (+ 0 0) into 0 15.286 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 15.287 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 15.287 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) 15.287 * [backup-simplify]: Simplify (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) into (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) 15.288 * [backup-simplify]: Simplify (+ (* (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) (* k 1)) (pow n 0.25))) into (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) 15.288 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 15.288 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 15.288 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 15.288 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 15.289 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 15.289 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 15.289 * [taylor]: Taking taylor expansion of 0.25 in k 15.289 * [backup-simplify]: Simplify 0.25 into 0.25 15.289 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.289 * [taylor]: Taking taylor expansion of 1.0 in k 15.289 * [backup-simplify]: Simplify 1.0 into 1.0 15.289 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.289 * [taylor]: Taking taylor expansion of k in k 15.289 * [backup-simplify]: Simplify 0 into 0 15.289 * [backup-simplify]: Simplify 1 into 1 15.289 * [backup-simplify]: Simplify (/ 1 1) into 1 15.289 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 15.289 * [taylor]: Taking taylor expansion of (/ 1 n) in k 15.289 * [taylor]: Taking taylor expansion of n in k 15.289 * [backup-simplify]: Simplify n into n 15.289 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.289 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 15.289 * [backup-simplify]: Simplify (- 1) into -1 15.290 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.290 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 15.290 * [backup-simplify]: Simplify (* -0.25 (log (/ 1 n))) into (* -0.25 (log (/ 1 n))) 15.290 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 15.290 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 15.290 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 15.290 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 15.290 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 15.290 * [taylor]: Taking taylor expansion of 0.25 in n 15.290 * [backup-simplify]: Simplify 0.25 into 0.25 15.290 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.290 * [taylor]: Taking taylor expansion of 1.0 in n 15.290 * [backup-simplify]: Simplify 1.0 into 1.0 15.290 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.290 * [taylor]: Taking taylor expansion of k in n 15.291 * [backup-simplify]: Simplify k into k 15.291 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.291 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.291 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.291 * [taylor]: Taking taylor expansion of n in n 15.291 * [backup-simplify]: Simplify 0 into 0 15.291 * [backup-simplify]: Simplify 1 into 1 15.291 * [backup-simplify]: Simplify (/ 1 1) into 1 15.291 * [backup-simplify]: Simplify (log 1) into 0 15.291 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.291 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.291 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 15.292 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.292 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 15.292 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 15.292 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 15.292 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 15.292 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 15.292 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 15.292 * [taylor]: Taking taylor expansion of 0.25 in n 15.292 * [backup-simplify]: Simplify 0.25 into 0.25 15.292 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.292 * [taylor]: Taking taylor expansion of 1.0 in n 15.292 * [backup-simplify]: Simplify 1.0 into 1.0 15.292 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.292 * [taylor]: Taking taylor expansion of k in n 15.292 * [backup-simplify]: Simplify k into k 15.292 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.292 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.292 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.292 * [taylor]: Taking taylor expansion of n in n 15.292 * [backup-simplify]: Simplify 0 into 0 15.292 * [backup-simplify]: Simplify 1 into 1 15.293 * [backup-simplify]: Simplify (/ 1 1) into 1 15.293 * [backup-simplify]: Simplify (log 1) into 0 15.293 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.293 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.293 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 15.293 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.293 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 15.294 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 15.294 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) in k 15.294 * [taylor]: Taking taylor expansion of (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) in k 15.294 * [taylor]: Taking taylor expansion of -0.25 in k 15.294 * [backup-simplify]: Simplify -0.25 into -0.25 15.294 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 15.294 * [taylor]: Taking taylor expansion of (log n) in k 15.294 * [taylor]: Taking taylor expansion of n in k 15.294 * [backup-simplify]: Simplify n into n 15.294 * [backup-simplify]: Simplify (log n) into (log n) 15.294 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.294 * [taylor]: Taking taylor expansion of 1.0 in k 15.294 * [backup-simplify]: Simplify 1.0 into 1.0 15.294 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.294 * [taylor]: Taking taylor expansion of k in k 15.294 * [backup-simplify]: Simplify 0 into 0 15.294 * [backup-simplify]: Simplify 1 into 1 15.294 * [backup-simplify]: Simplify (/ 1 1) into 1 15.294 * [backup-simplify]: Simplify (- 1) into -1 15.295 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.295 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 15.295 * [backup-simplify]: Simplify (* -0.25 (* -1 (log n))) into (* 0.25 (log n)) 15.295 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 15.295 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 15.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.296 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.297 * [backup-simplify]: Simplify (- 0) into 0 15.297 * [backup-simplify]: Simplify (+ 0 0) into 0 15.297 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 15.298 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.298 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 15.298 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.298 * [taylor]: Taking taylor expansion of 0 in k 15.298 * [backup-simplify]: Simplify 0 into 0 15.298 * [backup-simplify]: Simplify 0 into 0 15.299 * [backup-simplify]: Simplify 0 into 0 15.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.301 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.301 * [backup-simplify]: Simplify (- 0) into 0 15.301 * [backup-simplify]: Simplify (+ 0 0) into 0 15.302 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 15.302 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.303 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 15.304 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.304 * [taylor]: Taking taylor expansion of 0 in k 15.304 * [backup-simplify]: Simplify 0 into 0 15.304 * [backup-simplify]: Simplify 0 into 0 15.304 * [backup-simplify]: Simplify 0 into 0 15.304 * [backup-simplify]: Simplify 0 into 0 15.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.307 * [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 15.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.307 * [backup-simplify]: Simplify (- 0) into 0 15.308 * [backup-simplify]: Simplify (+ 0 0) into 0 15.309 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 15.309 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.309 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 15.311 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.311 * [taylor]: Taking taylor expansion of 0 in k 15.311 * [backup-simplify]: Simplify 0 into 0 15.311 * [backup-simplify]: Simplify 0 into 0 15.311 * [backup-simplify]: Simplify (exp (* -0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) 15.311 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 15.311 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 15.311 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 15.311 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 15.311 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 15.311 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 15.311 * [taylor]: Taking taylor expansion of 0.25 in k 15.311 * [backup-simplify]: Simplify 0.25 into 0.25 15.311 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.311 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.311 * [taylor]: Taking taylor expansion of k in k 15.311 * [backup-simplify]: Simplify 0 into 0 15.311 * [backup-simplify]: Simplify 1 into 1 15.312 * [backup-simplify]: Simplify (/ 1 1) into 1 15.312 * [taylor]: Taking taylor expansion of 1.0 in k 15.312 * [backup-simplify]: Simplify 1.0 into 1.0 15.312 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 15.312 * [taylor]: Taking taylor expansion of (/ -1 n) in k 15.312 * [taylor]: Taking taylor expansion of -1 in k 15.312 * [backup-simplify]: Simplify -1 into -1 15.312 * [taylor]: Taking taylor expansion of n in k 15.312 * [backup-simplify]: Simplify n into n 15.312 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 15.312 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 15.312 * [backup-simplify]: Simplify (+ 1 0) into 1 15.312 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 15.312 * [backup-simplify]: Simplify (* 0.25 (log (/ -1 n))) into (* 0.25 (log (/ -1 n))) 15.313 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 15.313 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 15.313 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 15.313 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 15.313 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 15.313 * [taylor]: Taking taylor expansion of 0.25 in n 15.313 * [backup-simplify]: Simplify 0.25 into 0.25 15.313 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.313 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.313 * [taylor]: Taking taylor expansion of k in n 15.313 * [backup-simplify]: Simplify k into k 15.313 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.313 * [taylor]: Taking taylor expansion of 1.0 in n 15.313 * [backup-simplify]: Simplify 1.0 into 1.0 15.313 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.313 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.313 * [taylor]: Taking taylor expansion of -1 in n 15.313 * [backup-simplify]: Simplify -1 into -1 15.313 * [taylor]: Taking taylor expansion of n in n 15.313 * [backup-simplify]: Simplify 0 into 0 15.313 * [backup-simplify]: Simplify 1 into 1 15.313 * [backup-simplify]: Simplify (/ -1 1) into -1 15.314 * [backup-simplify]: Simplify (log -1) into (log -1) 15.314 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.314 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 15.314 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.315 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.315 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.316 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 15.316 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 15.316 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 15.316 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 15.316 * [taylor]: Taking taylor expansion of 0.25 in n 15.316 * [backup-simplify]: Simplify 0.25 into 0.25 15.316 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.316 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.316 * [taylor]: Taking taylor expansion of k in n 15.316 * [backup-simplify]: Simplify k into k 15.316 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.316 * [taylor]: Taking taylor expansion of 1.0 in n 15.316 * [backup-simplify]: Simplify 1.0 into 1.0 15.316 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.316 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.316 * [taylor]: Taking taylor expansion of -1 in n 15.316 * [backup-simplify]: Simplify -1 into -1 15.316 * [taylor]: Taking taylor expansion of n in n 15.316 * [backup-simplify]: Simplify 0 into 0 15.316 * [backup-simplify]: Simplify 1 into 1 15.317 * [backup-simplify]: Simplify (/ -1 1) into -1 15.317 * [backup-simplify]: Simplify (log -1) into (log -1) 15.317 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.317 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 15.318 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.319 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.319 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.320 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 15.320 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 15.320 * [taylor]: Taking taylor expansion of 0.25 in k 15.320 * [backup-simplify]: Simplify 0.25 into 0.25 15.320 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 15.320 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 15.320 * [taylor]: Taking taylor expansion of (log -1) in k 15.320 * [taylor]: Taking taylor expansion of -1 in k 15.320 * [backup-simplify]: Simplify -1 into -1 15.320 * [backup-simplify]: Simplify (log -1) into (log -1) 15.320 * [taylor]: Taking taylor expansion of (log n) in k 15.320 * [taylor]: Taking taylor expansion of n in k 15.320 * [backup-simplify]: Simplify n into n 15.320 * [backup-simplify]: Simplify (log n) into (log n) 15.320 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.321 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.321 * [taylor]: Taking taylor expansion of k in k 15.321 * [backup-simplify]: Simplify 0 into 0 15.321 * [backup-simplify]: Simplify 1 into 1 15.321 * [backup-simplify]: Simplify (/ 1 1) into 1 15.321 * [taylor]: Taking taylor expansion of 1.0 in k 15.321 * [backup-simplify]: Simplify 1.0 into 1.0 15.321 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 15.322 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 15.322 * [backup-simplify]: Simplify (+ 1 0) into 1 15.323 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 15.323 * [backup-simplify]: Simplify (* 0.25 (- (log -1) (log n))) into (* 0.25 (- (log -1) (log n))) 15.324 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.324 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.327 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 15.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.328 * [backup-simplify]: Simplify (+ 0 0) into 0 15.328 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 15.329 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.330 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 15.331 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.331 * [taylor]: Taking taylor expansion of 0 in k 15.331 * [backup-simplify]: Simplify 0 into 0 15.331 * [backup-simplify]: Simplify 0 into 0 15.331 * [backup-simplify]: Simplify 0 into 0 15.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.336 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 15.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.337 * [backup-simplify]: Simplify (+ 0 0) into 0 15.338 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 15.339 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.340 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 15.342 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.342 * [taylor]: Taking taylor expansion of 0 in k 15.342 * [backup-simplify]: Simplify 0 into 0 15.342 * [backup-simplify]: Simplify 0 into 0 15.342 * [backup-simplify]: Simplify 0 into 0 15.342 * [backup-simplify]: Simplify 0 into 0 15.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.349 * [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 15.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.350 * [backup-simplify]: Simplify (+ 0 0) into 0 15.351 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 15.352 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.354 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 15.357 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.357 * [taylor]: Taking taylor expansion of 0 in k 15.357 * [backup-simplify]: Simplify 0 into 0 15.357 * [backup-simplify]: Simplify 0 into 0 15.358 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 15.358 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 15.359 * [backup-simplify]: Simplify (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) into (pow (pow n (* 0.25 (- 1.0 k))) 2) 15.359 * [approximate]: Taking taylor expansion of (pow (pow n (* 0.25 (- 1.0 k))) 2) in (n k) around 0 15.359 * [taylor]: Taking taylor expansion of (pow (pow n (* 0.25 (- 1.0 k))) 2) in k 15.359 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 15.359 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 15.359 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 15.359 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 15.359 * [taylor]: Taking taylor expansion of 0.25 in k 15.359 * [backup-simplify]: Simplify 0.25 into 0.25 15.359 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.359 * [taylor]: Taking taylor expansion of 1.0 in k 15.359 * [backup-simplify]: Simplify 1.0 into 1.0 15.359 * [taylor]: Taking taylor expansion of k in k 15.359 * [backup-simplify]: Simplify 0 into 0 15.359 * [backup-simplify]: Simplify 1 into 1 15.359 * [taylor]: Taking taylor expansion of (log n) in k 15.359 * [taylor]: Taking taylor expansion of n in k 15.359 * [backup-simplify]: Simplify n into n 15.360 * [backup-simplify]: Simplify (log n) into (log n) 15.360 * [backup-simplify]: Simplify (- 0) into 0 15.361 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.361 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 15.361 * [backup-simplify]: Simplify (* 0.25 (log n)) into (* 0.25 (log n)) 15.361 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 15.361 * [taylor]: Taking taylor expansion of (pow (pow n (* 0.25 (- 1.0 k))) 2) in n 15.361 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 15.362 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 15.362 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 15.362 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 15.362 * [taylor]: Taking taylor expansion of 0.25 in n 15.362 * [backup-simplify]: Simplify 0.25 into 0.25 15.362 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.362 * [taylor]: Taking taylor expansion of 1.0 in n 15.362 * [backup-simplify]: Simplify 1.0 into 1.0 15.362 * [taylor]: Taking taylor expansion of k in n 15.362 * [backup-simplify]: Simplify k into k 15.362 * [taylor]: Taking taylor expansion of (log n) in n 15.362 * [taylor]: Taking taylor expansion of n in n 15.362 * [backup-simplify]: Simplify 0 into 0 15.362 * [backup-simplify]: Simplify 1 into 1 15.362 * [backup-simplify]: Simplify (log 1) into 0 15.362 * [backup-simplify]: Simplify (- k) into (- k) 15.362 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.363 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 15.363 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.363 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 15.363 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 15.363 * [taylor]: Taking taylor expansion of (pow (pow n (* 0.25 (- 1.0 k))) 2) in n 15.363 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 15.363 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 15.363 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 15.364 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 15.364 * [taylor]: Taking taylor expansion of 0.25 in n 15.364 * [backup-simplify]: Simplify 0.25 into 0.25 15.364 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.364 * [taylor]: Taking taylor expansion of 1.0 in n 15.364 * [backup-simplify]: Simplify 1.0 into 1.0 15.364 * [taylor]: Taking taylor expansion of k in n 15.364 * [backup-simplify]: Simplify k into k 15.364 * [taylor]: Taking taylor expansion of (log n) in n 15.364 * [taylor]: Taking taylor expansion of n in n 15.364 * [backup-simplify]: Simplify 0 into 0 15.364 * [backup-simplify]: Simplify 1 into 1 15.364 * [backup-simplify]: Simplify (log 1) into 0 15.364 * [backup-simplify]: Simplify (- k) into (- k) 15.364 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.364 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 15.365 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.365 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 15.365 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 15.366 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (exp (* 0.25 (* (- 1.0 k) (log n))))) into (pow (exp (* 0.25 (* (- 1.0 k) (log n)))) 2) 15.366 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- 1.0 k) (log n)))) 2) in k 15.366 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (log n)))) in k 15.366 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (log n))) in k 15.366 * [taylor]: Taking taylor expansion of 0.25 in k 15.366 * [backup-simplify]: Simplify 0.25 into 0.25 15.366 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 15.366 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.366 * [taylor]: Taking taylor expansion of 1.0 in k 15.366 * [backup-simplify]: Simplify 1.0 into 1.0 15.366 * [taylor]: Taking taylor expansion of k in k 15.366 * [backup-simplify]: Simplify 0 into 0 15.366 * [backup-simplify]: Simplify 1 into 1 15.366 * [taylor]: Taking taylor expansion of (log n) in k 15.366 * [taylor]: Taking taylor expansion of n in k 15.366 * [backup-simplify]: Simplify n into n 15.366 * [backup-simplify]: Simplify (log n) into (log n) 15.367 * [backup-simplify]: Simplify (- 0) into 0 15.367 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.367 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.367 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (log n))) into (* 0.25 (log n)) 15.367 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 15.368 * [backup-simplify]: Simplify (* (pow n 0.25) (pow n 0.25)) into (pow (pow n 1.0) 0.5) 15.368 * [backup-simplify]: Simplify (pow (pow n 1.0) 0.5) into (pow (pow n 1.0) 0.5) 15.378 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.379 * [backup-simplify]: Simplify (- 0) into 0 15.380 * [backup-simplify]: Simplify (+ 0 0) into 0 15.380 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 15.381 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.381 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (log n))) into 0 15.382 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.382 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- 1.0 k) (log n)))) 0) (* 0 (exp (* 0.25 (* (- 1.0 k) (log n)))))) into 0 15.382 * [taylor]: Taking taylor expansion of 0 in k 15.382 * [backup-simplify]: Simplify 0 into 0 15.382 * [backup-simplify]: Simplify 0 into 0 15.384 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 15.384 * [backup-simplify]: Simplify (- 1) into -1 15.384 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.385 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 15.385 * [backup-simplify]: Simplify (+ (* 0.25 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.25 (log n))) 15.386 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 1) 1)))) into (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) 15.386 * [backup-simplify]: Simplify (+ (* (pow n 0.25) (* -0.25 (* (pow (pow n 1.0) 0.25) (log n)))) (* (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) (pow n 0.25))) into (- (* 0.5 (* (pow (pow n 1.0) 0.5) (log n)))) 15.387 * [backup-simplify]: Simplify (- (* 0.5 (* (pow (pow n 1.0) 0.5) (log n)))) into (- (* 0.5 (* (pow (pow n 1.0) 0.5) (log n)))) 15.390 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.391 * [backup-simplify]: Simplify (- 0) into 0 15.391 * [backup-simplify]: Simplify (+ 0 0) into 0 15.392 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 15.393 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.393 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 15.395 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.396 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- 1.0 k) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (- 1.0 k) (log n))))))) into 0 15.396 * [taylor]: Taking taylor expansion of 0 in k 15.396 * [backup-simplify]: Simplify 0 into 0 15.396 * [backup-simplify]: Simplify 0 into 0 15.396 * [backup-simplify]: Simplify 0 into 0 15.398 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 15.399 * [backup-simplify]: Simplify (- 0) into 0 15.399 * [backup-simplify]: Simplify (+ 0 0) into 0 15.400 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 15.401 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 15.402 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) 15.404 * [backup-simplify]: Simplify (+ (* (pow n 0.25) (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2)))) (+ (* (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) (* -0.25 (* (pow (pow n 1.0) 0.25) (log n)))) (* (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) (pow n 0.25)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 15.405 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 15.406 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (- (* 0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* k 1)) (pow (pow n 1.0) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow (pow n 1.0) 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 15.407 * [backup-simplify]: Simplify (* (pow (/ 1 n) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (pow (/ 1 n) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2))) into (pow (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 2) 15.407 * [approximate]: Taking taylor expansion of (pow (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 2) in (n k) around 0 15.407 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 15.407 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 15.407 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 15.407 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 15.407 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 15.407 * [taylor]: Taking taylor expansion of 0.25 in k 15.407 * [backup-simplify]: Simplify 0.25 into 0.25 15.407 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.407 * [taylor]: Taking taylor expansion of 1.0 in k 15.407 * [backup-simplify]: Simplify 1.0 into 1.0 15.407 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.407 * [taylor]: Taking taylor expansion of k in k 15.407 * [backup-simplify]: Simplify 0 into 0 15.407 * [backup-simplify]: Simplify 1 into 1 15.408 * [backup-simplify]: Simplify (/ 1 1) into 1 15.408 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 15.408 * [taylor]: Taking taylor expansion of (/ 1 n) in k 15.408 * [taylor]: Taking taylor expansion of n in k 15.408 * [backup-simplify]: Simplify n into n 15.408 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.408 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 15.409 * [backup-simplify]: Simplify (- 1) into -1 15.409 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.410 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 15.410 * [backup-simplify]: Simplify (* -0.25 (log (/ 1 n))) into (* -0.25 (log (/ 1 n))) 15.410 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 15.410 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 15.410 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 15.410 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 15.410 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 15.410 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 15.410 * [taylor]: Taking taylor expansion of 0.25 in n 15.410 * [backup-simplify]: Simplify 0.25 into 0.25 15.410 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.410 * [taylor]: Taking taylor expansion of 1.0 in n 15.410 * [backup-simplify]: Simplify 1.0 into 1.0 15.410 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.410 * [taylor]: Taking taylor expansion of k in n 15.410 * [backup-simplify]: Simplify k into k 15.410 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.410 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.410 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.410 * [taylor]: Taking taylor expansion of n in n 15.411 * [backup-simplify]: Simplify 0 into 0 15.411 * [backup-simplify]: Simplify 1 into 1 15.411 * [backup-simplify]: Simplify (/ 1 1) into 1 15.411 * [backup-simplify]: Simplify (log 1) into 0 15.411 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.411 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.411 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 15.412 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.412 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 15.412 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 15.412 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 15.412 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 15.412 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 15.412 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 15.412 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 15.412 * [taylor]: Taking taylor expansion of 0.25 in n 15.412 * [backup-simplify]: Simplify 0.25 into 0.25 15.412 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.412 * [taylor]: Taking taylor expansion of 1.0 in n 15.412 * [backup-simplify]: Simplify 1.0 into 1.0 15.412 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.412 * [taylor]: Taking taylor expansion of k in n 15.412 * [backup-simplify]: Simplify k into k 15.412 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.412 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.412 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.412 * [taylor]: Taking taylor expansion of n in n 15.412 * [backup-simplify]: Simplify 0 into 0 15.412 * [backup-simplify]: Simplify 1 into 1 15.413 * [backup-simplify]: Simplify (/ 1 1) into 1 15.413 * [backup-simplify]: Simplify (log 1) into 0 15.413 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.413 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.413 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 15.413 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.413 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 15.414 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 15.414 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k)))))) into (pow (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 2) 15.414 * [taylor]: Taking taylor expansion of (pow (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 2) in k 15.414 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) in k 15.414 * [taylor]: Taking taylor expansion of (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) in k 15.414 * [taylor]: Taking taylor expansion of -0.25 in k 15.414 * [backup-simplify]: Simplify -0.25 into -0.25 15.414 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 15.414 * [taylor]: Taking taylor expansion of (log n) in k 15.414 * [taylor]: Taking taylor expansion of n in k 15.414 * [backup-simplify]: Simplify n into n 15.414 * [backup-simplify]: Simplify (log n) into (log n) 15.414 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.414 * [taylor]: Taking taylor expansion of 1.0 in k 15.414 * [backup-simplify]: Simplify 1.0 into 1.0 15.414 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.414 * [taylor]: Taking taylor expansion of k in k 15.414 * [backup-simplify]: Simplify 0 into 0 15.414 * [backup-simplify]: Simplify 1 into 1 15.414 * [backup-simplify]: Simplify (/ 1 1) into 1 15.415 * [backup-simplify]: Simplify (- 1) into -1 15.415 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.415 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 15.415 * [backup-simplify]: Simplify (* -0.25 (* -1 (log n))) into (* 0.25 (log n)) 15.415 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 15.415 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k)))))) into (pow (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 2) 15.416 * [backup-simplify]: Simplify (pow (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 2) into (pow (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 2) 15.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.417 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.417 * [backup-simplify]: Simplify (- 0) into 0 15.418 * [backup-simplify]: Simplify (+ 0 0) into 0 15.418 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 15.418 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.418 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 15.419 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.419 * [backup-simplify]: Simplify (+ (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))))) into 0 15.419 * [taylor]: Taking taylor expansion of 0 in k 15.419 * [backup-simplify]: Simplify 0 into 0 15.419 * [backup-simplify]: Simplify 0 into 0 15.419 * [backup-simplify]: Simplify (+ (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))))) into 0 15.419 * [backup-simplify]: Simplify 0 into 0 15.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.422 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.422 * [backup-simplify]: Simplify (- 0) into 0 15.423 * [backup-simplify]: Simplify (+ 0 0) into 0 15.423 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 15.424 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.424 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 15.425 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.426 * [backup-simplify]: Simplify (+ (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k)))))))) into 0 15.426 * [taylor]: Taking taylor expansion of 0 in k 15.426 * [backup-simplify]: Simplify 0 into 0 15.426 * [backup-simplify]: Simplify 0 into 0 15.426 * [backup-simplify]: Simplify 0 into 0 15.426 * [backup-simplify]: Simplify (+ (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k)))))))) into 0 15.427 * [backup-simplify]: Simplify 0 into 0 15.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.431 * [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 15.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.431 * [backup-simplify]: Simplify (- 0) into 0 15.432 * [backup-simplify]: Simplify (+ 0 0) into 0 15.432 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 15.433 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.433 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 15.434 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.435 * [backup-simplify]: Simplify (+ (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))))))) into 0 15.435 * [taylor]: Taking taylor expansion of 0 in k 15.435 * [backup-simplify]: Simplify 0 into 0 15.435 * [backup-simplify]: Simplify 0 into 0 15.436 * [backup-simplify]: Simplify (pow (exp (* -0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) 2) into (pow (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) 2) 15.436 * [backup-simplify]: Simplify (* (pow (/ 1 (- n)) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (pow (/ 1 (- n)) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2))) into (pow (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 2) 15.436 * [approximate]: Taking taylor expansion of (pow (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 2) in (n k) around 0 15.436 * [taylor]: Taking taylor expansion of (pow (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 15.436 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 15.436 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 15.436 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 15.436 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 15.436 * [taylor]: Taking taylor expansion of 0.25 in k 15.436 * [backup-simplify]: Simplify 0.25 into 0.25 15.436 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.436 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.436 * [taylor]: Taking taylor expansion of k in k 15.436 * [backup-simplify]: Simplify 0 into 0 15.436 * [backup-simplify]: Simplify 1 into 1 15.436 * [backup-simplify]: Simplify (/ 1 1) into 1 15.437 * [taylor]: Taking taylor expansion of 1.0 in k 15.437 * [backup-simplify]: Simplify 1.0 into 1.0 15.437 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 15.437 * [taylor]: Taking taylor expansion of (/ -1 n) in k 15.437 * [taylor]: Taking taylor expansion of -1 in k 15.437 * [backup-simplify]: Simplify -1 into -1 15.437 * [taylor]: Taking taylor expansion of n in k 15.437 * [backup-simplify]: Simplify n into n 15.437 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 15.437 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 15.437 * [backup-simplify]: Simplify (+ 1 0) into 1 15.437 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 15.437 * [backup-simplify]: Simplify (* 0.25 (log (/ -1 n))) into (* 0.25 (log (/ -1 n))) 15.438 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 15.438 * [taylor]: Taking taylor expansion of (pow (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 15.438 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 15.438 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 15.438 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 15.438 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 15.438 * [taylor]: Taking taylor expansion of 0.25 in n 15.438 * [backup-simplify]: Simplify 0.25 into 0.25 15.438 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.438 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.438 * [taylor]: Taking taylor expansion of k in n 15.438 * [backup-simplify]: Simplify k into k 15.438 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.438 * [taylor]: Taking taylor expansion of 1.0 in n 15.438 * [backup-simplify]: Simplify 1.0 into 1.0 15.438 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.438 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.438 * [taylor]: Taking taylor expansion of -1 in n 15.438 * [backup-simplify]: Simplify -1 into -1 15.438 * [taylor]: Taking taylor expansion of n in n 15.438 * [backup-simplify]: Simplify 0 into 0 15.438 * [backup-simplify]: Simplify 1 into 1 15.438 * [backup-simplify]: Simplify (/ -1 1) into -1 15.439 * [backup-simplify]: Simplify (log -1) into (log -1) 15.439 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.439 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 15.439 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.440 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.440 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.440 * [taylor]: Taking taylor expansion of (pow (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 15.440 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 15.440 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 15.440 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 15.440 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 15.440 * [taylor]: Taking taylor expansion of 0.25 in n 15.440 * [backup-simplify]: Simplify 0.25 into 0.25 15.440 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.440 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.440 * [taylor]: Taking taylor expansion of k in n 15.440 * [backup-simplify]: Simplify k into k 15.440 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.440 * [taylor]: Taking taylor expansion of 1.0 in n 15.440 * [backup-simplify]: Simplify 1.0 into 1.0 15.440 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.440 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.440 * [taylor]: Taking taylor expansion of -1 in n 15.440 * [backup-simplify]: Simplify -1 into -1 15.440 * [taylor]: Taking taylor expansion of n in n 15.440 * [backup-simplify]: Simplify 0 into 0 15.440 * [backup-simplify]: Simplify 1 into 1 15.441 * [backup-simplify]: Simplify (/ -1 1) into -1 15.441 * [backup-simplify]: Simplify (log -1) into (log -1) 15.441 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.441 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 15.442 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.442 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.443 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.443 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 2) 15.443 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 2) in k 15.443 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 15.443 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 15.443 * [taylor]: Taking taylor expansion of 0.25 in k 15.443 * [backup-simplify]: Simplify 0.25 into 0.25 15.444 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 15.444 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 15.444 * [taylor]: Taking taylor expansion of (log -1) in k 15.444 * [taylor]: Taking taylor expansion of -1 in k 15.444 * [backup-simplify]: Simplify -1 into -1 15.444 * [backup-simplify]: Simplify (log -1) into (log -1) 15.444 * [taylor]: Taking taylor expansion of (log n) in k 15.444 * [taylor]: Taking taylor expansion of n in k 15.444 * [backup-simplify]: Simplify n into n 15.444 * [backup-simplify]: Simplify (log n) into (log n) 15.444 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.444 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.444 * [taylor]: Taking taylor expansion of k in k 15.444 * [backup-simplify]: Simplify 0 into 0 15.444 * [backup-simplify]: Simplify 1 into 1 15.444 * [backup-simplify]: Simplify (/ 1 1) into 1 15.444 * [taylor]: Taking taylor expansion of 1.0 in k 15.444 * [backup-simplify]: Simplify 1.0 into 1.0 15.444 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 15.445 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 15.445 * [backup-simplify]: Simplify (+ 1 0) into 1 15.445 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 15.446 * [backup-simplify]: Simplify (* 0.25 (- (log -1) (log n))) into (* 0.25 (- (log -1) (log n))) 15.446 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.447 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 2) 15.448 * [backup-simplify]: Simplify (pow (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 2) into (pow (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 2) 15.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.449 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 15.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.450 * [backup-simplify]: Simplify (+ 0 0) into 0 15.450 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 15.451 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.451 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 15.452 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.453 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into 0 15.453 * [taylor]: Taking taylor expansion of 0 in k 15.453 * [backup-simplify]: Simplify 0 into 0 15.453 * [backup-simplify]: Simplify 0 into 0 15.454 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into 0 15.454 * [backup-simplify]: Simplify 0 into 0 15.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.457 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 15.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.457 * [backup-simplify]: Simplify (+ 0 0) into 0 15.458 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 15.458 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.459 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 15.460 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.461 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into 0 15.461 * [taylor]: Taking taylor expansion of 0 in k 15.461 * [backup-simplify]: Simplify 0 into 0 15.461 * [backup-simplify]: Simplify 0 into 0 15.461 * [backup-simplify]: Simplify 0 into 0 15.462 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into 0 15.462 * [backup-simplify]: Simplify 0 into 0 15.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.466 * [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 15.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.466 * [backup-simplify]: Simplify (+ 0 0) into 0 15.468 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 15.468 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.470 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 15.472 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.474 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))))) into 0 15.474 * [taylor]: Taking taylor expansion of 0 in k 15.474 * [backup-simplify]: Simplify 0 into 0 15.474 * [backup-simplify]: Simplify 0 into 0 15.475 * [backup-simplify]: Simplify (pow (exp (* 0.25 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) 2) into (pow (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 2) 15.475 * * * [progress]: simplifying candidates 15.482 * [simplify]: Simplifying: (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 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2.0) 2))) (* (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ 1.0 2.0) 2))) (* (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow (pow n 1.0) 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) 2) (pow (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 2) 15.487 * * [simplify]: Extracting # 0 : cost 0 15.488 * * [simplify]: Extracting # 1 : cost 0 15.488 * * [simplify]: Extracting # 2 : cost 0 15.488 * * [simplify]: Extracting # 3 : cost 0 15.489 * * [simplify]: Extracting # 4 : cost 0 15.489 * * [simplify]: Extracting # 5 : cost 0 15.490 * * [simplify]: Extracting # 6 : cost 0 15.490 * * [simplify]: Extracting # 7 : cost 0 15.491 * * [simplify]: Extracting # 8 : cost 0 15.491 * * [simplify]: Extracting # 9 : cost 0 15.492 * * [simplify]: iteration 0 : 302 enodes (cost 4106 ) 15.629 * * [simplify]: Extracting # 0 : cost 0 15.631 * * [simplify]: Extracting # 1 : cost 0 15.633 * * [simplify]: Extracting # 2 : cost 0 15.635 * * [simplify]: Extracting # 3 : cost 0 15.637 * * [simplify]: Extracting # 4 : cost 0 15.640 * * [simplify]: iteration 1 : 783 enodes (cost 3317 ) 16.212 * * [simplify]: Extracting # 0 : cost 0 16.217 * * [simplify]: Extracting # 1 : cost 0 16.223 * * [simplify]: Extracting # 2 : cost 0 16.234 * * [simplify]: Extracting # 3 : cost 0 16.240 * * [simplify]: Extracting # 4 : cost 0 16.246 * * [simplify]: iteration 2 : 2320 enodes (cost 3213 ) 17.110 * * [simplify]: Extracting # 0 : cost 0 17.117 * * [simplify]: Extracting # 1 : cost 0 17.130 * * [simplify]: Extracting # 2 : cost 0 17.143 * * [simplify]: Extracting # 3 : cost 0 17.157 * * [simplify]: Extracting # 4 : cost 0 17.176 * * [simplify]: iteration done: 5001 enodes (cost 3116 ) 17.180 * [simplify]: Simplified to: (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (* (cbrt (- 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(- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (* 1 (/ 1.0 2.0))) (pow n (* 1 (/ k 2.0))) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (pow (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (+ 3 1)) (* (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) 1 (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 4))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 4))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (pow n (/ (/ (- 1.0 k) 2.0) 4)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow n (/ (/ (- 1.0 k) 2.0) 4)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 4))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 4))) (* (pow n (/ (/ (- 1.0 k) 2.0) 4)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow n (/ (/ (- 1.0 k) 2.0) 4)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (/ (- 1.0 k) 2.0) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (pow (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (+ 3 1)) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (pow (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) 3) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow n (/ (/ (- 1.0 k) 2.0) 4)) 3) (* (pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)) (pow (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (+ 3 1)) (pow (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) 3) (pow n (/ (- 1.0 k) 2.0)) (pow (pow n (/ (/ (- 1.0 k) 2.0) 4)) 3) (* (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (+ (pow PI 0.5) (* (pow (pow PI 1.0) 0.5) (- (* 0.125 (* (pow k 2) (pow (log PI) 2))) (* 0.5 (* k (log PI)))))) (pow PI (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k))) (+ (pow n 0.25) (* (pow (pow n 1.0) 0.25) (- (* 0.03125 (* (pow k 2) (pow (log n) 2))) (* 0.25 (* k (log n)))))) (pow (pow (/ 1 n) (- 1.0 k)) -0.25) (pow (exp (* 0.25 (- 1.0 k))) (+ 0 (log n))) (+ (pow n 0.25) (* (pow (pow n 1.0) 0.25) (- (* 0.03125 (* (pow k 2) (pow (log n) 2))) (* 0.25 (* k (log n)))))) (pow (pow (/ 1 n) (- 1.0 k)) -0.25) (pow (exp (* 0.25 (- 1.0 k))) (+ 0 (log n))) (* (pow (pow n 1.0) 0.5) (- (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) 1) (* 0.5 (* k (log n))))) (pow (pow (pow (/ 1 n) (- 1.0 k)) -0.25) 2) (pow (pow (exp (* 0.25 (- 1.0 k))) (+ 0 (log n))) 2) 17.184 * * * [progress]: adding candidates to table 19.047 * [progress]: [Phase 3 of 3] Extracting. 19.047 * * [regime]: Finding splitpoints for: (# # # # # # # #) 19.056 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 19.056 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 19.136 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # #) 19.173 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 19.235 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 19.276 * * * [regime]: Found split indices: #