35.636 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.140 * * * [progress]: [2/2] Setting up program. 0.144 * [progress]: [Phase 2 of 3] Improving. 0.144 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.144 * * [simplify]: Extracting # 0 : cost 1 inf + 0 0.144 * * [simplify]: Extracting # 1 : cost 3 inf + 0 0.144 * * [simplify]: Extracting # 2 : cost 7 inf + 0 0.145 * * [simplify]: Extracting # 3 : cost 11 inf + 1 0.145 * * [simplify]: Extracting # 4 : cost 5 inf + 252 0.145 * * [simplify]: Extracting # 5 : cost 4 inf + 253 0.145 * * [simplify]: Extracting # 6 : cost 1 inf + 753 0.145 * * [simplify]: Extracting # 7 : cost 0 inf + 1248 0.145 * * [simplify]: iteration 0 : 13 enodes (cost 495 ) 0.150 * * [simplify]: Extracting # 0 : cost 0 inf + 1248 0.150 * * [simplify]: Extracting # 1 : cost 6 inf + 1248 0.150 * * [simplify]: Extracting # 2 : cost 2 inf + 1830 0.150 * * [simplify]: Extracting # 3 : cost 3 inf + 1830 0.151 * * [simplify]: Extracting # 4 : cost 2 inf + 1831 0.151 * * [simplify]: Extracting # 5 : cost 0 inf + 2371 0.151 * * [simplify]: iteration 1 : 29 enodes (cost 495 ) 0.156 * * [simplify]: Extracting # 0 : cost 0 inf + 2371 0.156 * * [simplify]: Extracting # 1 : cost 12 inf + 2371 0.157 * * [simplify]: Extracting # 2 : cost 2 inf + 4892 0.158 * * [simplify]: Extracting # 3 : cost 1 inf + 5056 0.158 * * [simplify]: Extracting # 4 : cost 0 inf + 5512 0.159 * * [simplify]: iteration 2 : 59 enodes (cost 495 ) 0.168 * * [simplify]: Extracting # 0 : cost 0 inf + 5512 0.170 * * [simplify]: Extracting # 1 : cost 21 inf + 4934 0.173 * * [simplify]: Extracting # 2 : cost 4 inf + 11876 0.177 * * [simplify]: Extracting # 3 : cost 0 inf + 13039 0.180 * * [simplify]: Extracting # 4 : cost 0 inf + 12999 0.184 * * [simplify]: iteration 3 : 120 enodes (cost 495 ) 0.214 * * [simplify]: Extracting # 0 : cost 0 inf + 12999 0.217 * * [simplify]: Extracting # 1 : cost 63 inf + 10111 0.222 * * [simplify]: Extracting # 2 : cost 4 inf + 34900 0.229 * * [simplify]: Extracting # 3 : cost 2 inf + 34193 0.600 * * [simplify]: Extracting # 4 : cost 0 inf + 35147 0.614 * * [simplify]: iteration 4 : 328 enodes (cost 495 ) 0.861 * * [simplify]: Extracting # 0 : cost 0 inf + 35147 0.886 * * [simplify]: Extracting # 1 : cost 393 inf + 22803 0.947 * * [simplify]: Extracting # 2 : cost 23 inf + 240483 0.994 * * [simplify]: Extracting # 3 : cost 5 inf + 243293 1.041 * * [simplify]: Extracting # 4 : cost 0 inf + 245171 1.083 * * [simplify]: Extracting # 5 : cost 0 inf + 244971 1.154 * * [simplify]: iteration 5 : 1551 enodes (cost 495 ) 1.788 * * [simplify]: Extracting # 0 : cost 0 inf + 244971 1.943 * * [simplify]: Extracting # 1 : cost 1926 inf + 181209 2.093 * * [simplify]: Extracting # 2 : cost 62 inf + 1183540 2.308 * * [simplify]: Extracting # 3 : cost 16 inf + 1188720 2.557 * * [simplify]: Extracting # 4 : cost 0 inf + 1196530 2.759 * * [simplify]: iteration done: 5000 enodes (cost 495 ) 2.760 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 2.760 * * [progress]: iteration 1 / 4 2.760 * * * [progress]: picking best candidate 2.764 * * * * [pick]: Picked # 2.765 * * * [progress]: localizing error 2.787 * * * [progress]: generating rewritten candidates 2.787 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.811 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.841 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.846 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.892 * * * [progress]: generating series expansions 2.892 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.893 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 2.893 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.893 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.893 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.893 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.893 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.893 * [taylor]: Taking taylor expansion of 0.5 in k 2.893 * [backup-simplify]: Simplify 0.5 into 0.5 2.893 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.893 * [taylor]: Taking taylor expansion of 1.0 in k 2.893 * [backup-simplify]: Simplify 1.0 into 1.0 2.893 * [taylor]: Taking taylor expansion of k in k 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 1 into 1 2.893 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.893 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.893 * [taylor]: Taking taylor expansion of 2.0 in k 2.893 * [backup-simplify]: Simplify 2.0 into 2.0 2.893 * [taylor]: Taking taylor expansion of (* n PI) in k 2.893 * [taylor]: Taking taylor expansion of n in k 2.894 * [backup-simplify]: Simplify n into n 2.894 * [taylor]: Taking taylor expansion of PI in k 2.894 * [backup-simplify]: Simplify PI into PI 2.894 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.894 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.894 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.894 * [backup-simplify]: Simplify (- 0) into 0 2.895 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.895 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.895 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.895 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.895 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.895 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.895 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.895 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.895 * [taylor]: Taking taylor expansion of 0.5 in n 2.895 * [backup-simplify]: Simplify 0.5 into 0.5 2.895 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.896 * [taylor]: Taking taylor expansion of 1.0 in n 2.896 * [backup-simplify]: Simplify 1.0 into 1.0 2.896 * [taylor]: Taking taylor expansion of k in n 2.896 * [backup-simplify]: Simplify k into k 2.896 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.896 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.896 * [taylor]: Taking taylor expansion of 2.0 in n 2.896 * [backup-simplify]: Simplify 2.0 into 2.0 2.896 * [taylor]: Taking taylor expansion of (* n PI) in n 2.896 * [taylor]: Taking taylor expansion of n in n 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 1 into 1 2.896 * [taylor]: Taking taylor expansion of PI in n 2.896 * [backup-simplify]: Simplify PI into PI 2.896 * [backup-simplify]: Simplify (* 0 PI) into 0 2.897 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.899 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.900 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.901 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.901 * [backup-simplify]: Simplify (- k) into (- k) 2.901 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.901 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.902 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.903 * [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)))) 2.903 * [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))))) 2.903 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.903 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.903 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.904 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.904 * [taylor]: Taking taylor expansion of 0.5 in n 2.904 * [backup-simplify]: Simplify 0.5 into 0.5 2.904 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.904 * [taylor]: Taking taylor expansion of 1.0 in n 2.904 * [backup-simplify]: Simplify 1.0 into 1.0 2.904 * [taylor]: Taking taylor expansion of k in n 2.904 * [backup-simplify]: Simplify k into k 2.904 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.904 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.904 * [taylor]: Taking taylor expansion of 2.0 in n 2.904 * [backup-simplify]: Simplify 2.0 into 2.0 2.904 * [taylor]: Taking taylor expansion of (* n PI) in n 2.904 * [taylor]: Taking taylor expansion of n in n 2.904 * [backup-simplify]: Simplify 0 into 0 2.904 * [backup-simplify]: Simplify 1 into 1 2.904 * [taylor]: Taking taylor expansion of PI in n 2.904 * [backup-simplify]: Simplify PI into PI 2.904 * [backup-simplify]: Simplify (* 0 PI) into 0 2.904 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.906 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.907 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.907 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.907 * [backup-simplify]: Simplify (- k) into (- k) 2.907 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.907 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.908 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.909 * [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)))) 2.910 * [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))))) 2.910 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.910 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.910 * [taylor]: Taking taylor expansion of 0.5 in k 2.910 * [backup-simplify]: Simplify 0.5 into 0.5 2.910 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.910 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.910 * [taylor]: Taking taylor expansion of 1.0 in k 2.910 * [backup-simplify]: Simplify 1.0 into 1.0 2.910 * [taylor]: Taking taylor expansion of k in k 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify 1 into 1 2.910 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.910 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.910 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.910 * [taylor]: Taking taylor expansion of 2.0 in k 2.910 * [backup-simplify]: Simplify 2.0 into 2.0 2.910 * [taylor]: Taking taylor expansion of PI in k 2.910 * [backup-simplify]: Simplify PI into PI 2.910 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.911 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.911 * [taylor]: Taking taylor expansion of (log n) in k 2.911 * [taylor]: Taking taylor expansion of n in k 2.911 * [backup-simplify]: Simplify n into n 2.911 * [backup-simplify]: Simplify (log n) into (log n) 2.911 * [backup-simplify]: Simplify (- 0) into 0 2.912 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.912 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 2.913 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 2.914 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 2.914 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.915 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.916 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.916 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.917 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.917 * [backup-simplify]: Simplify (- 0) into 0 2.918 * [backup-simplify]: Simplify (+ 0 0) into 0 2.918 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 2.919 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.922 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 2.924 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.924 * [taylor]: Taking taylor expansion of 0 in k 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.925 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.926 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 2.926 * [backup-simplify]: Simplify (+ 0 0) into 0 2.926 * [backup-simplify]: Simplify (- 1) into -1 2.927 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.927 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 2.929 * [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)))) 2.932 * [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)))))) 2.936 * [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)))))) 2.937 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.938 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.941 * [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 2.942 * [backup-simplify]: Simplify (- 0) into 0 2.942 * [backup-simplify]: Simplify (+ 0 0) into 0 2.943 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 2.945 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.946 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.950 * [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 2.950 * [taylor]: Taking taylor expansion of 0 in k 2.950 * [backup-simplify]: Simplify 0 into 0 2.950 * [backup-simplify]: Simplify 0 into 0 2.950 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.955 * [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 2.957 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 2.957 * [backup-simplify]: Simplify (+ 0 0) into 0 2.958 * [backup-simplify]: Simplify (- 0) into 0 2.958 * [backup-simplify]: Simplify (+ 0 0) into 0 2.960 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.962 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 2.967 * [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 n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 2.972 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 2.983 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 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 (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) 2.984 * [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)))) 2.984 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.984 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.984 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.984 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.984 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.984 * [taylor]: Taking taylor expansion of 0.5 in k 2.984 * [backup-simplify]: Simplify 0.5 into 0.5 2.984 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.984 * [taylor]: Taking taylor expansion of 1.0 in k 2.984 * [backup-simplify]: Simplify 1.0 into 1.0 2.984 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.984 * [taylor]: Taking taylor expansion of k in k 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify 1 into 1 2.985 * [backup-simplify]: Simplify (/ 1 1) into 1 2.985 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.985 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.985 * [taylor]: Taking taylor expansion of 2.0 in k 2.985 * [backup-simplify]: Simplify 2.0 into 2.0 2.985 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.985 * [taylor]: Taking taylor expansion of PI in k 2.985 * [backup-simplify]: Simplify PI into PI 2.985 * [taylor]: Taking taylor expansion of n in k 2.985 * [backup-simplify]: Simplify n into n 2.985 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.985 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.985 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.986 * [backup-simplify]: Simplify (- 1) into -1 2.986 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.986 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.987 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.987 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 2.987 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.987 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.987 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.987 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.987 * [taylor]: Taking taylor expansion of 0.5 in n 2.987 * [backup-simplify]: Simplify 0.5 into 0.5 2.987 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.987 * [taylor]: Taking taylor expansion of 1.0 in n 2.987 * [backup-simplify]: Simplify 1.0 into 1.0 2.987 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.987 * [taylor]: Taking taylor expansion of k in n 2.987 * [backup-simplify]: Simplify k into k 2.987 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.987 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.987 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.987 * [taylor]: Taking taylor expansion of 2.0 in n 2.987 * [backup-simplify]: Simplify 2.0 into 2.0 2.987 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.987 * [taylor]: Taking taylor expansion of PI in n 2.987 * [backup-simplify]: Simplify PI into PI 2.987 * [taylor]: Taking taylor expansion of n in n 2.987 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify 1 into 1 2.988 * [backup-simplify]: Simplify (/ PI 1) into PI 2.989 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.990 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.990 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.990 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.990 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.991 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.992 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 2.994 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 2.994 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.994 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.994 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.994 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.994 * [taylor]: Taking taylor expansion of 0.5 in n 2.994 * [backup-simplify]: Simplify 0.5 into 0.5 2.994 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.994 * [taylor]: Taking taylor expansion of 1.0 in n 2.994 * [backup-simplify]: Simplify 1.0 into 1.0 2.994 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.994 * [taylor]: Taking taylor expansion of k in n 2.994 * [backup-simplify]: Simplify k into k 2.994 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.994 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.994 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.994 * [taylor]: Taking taylor expansion of 2.0 in n 2.994 * [backup-simplify]: Simplify 2.0 into 2.0 2.994 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.994 * [taylor]: Taking taylor expansion of PI in n 2.994 * [backup-simplify]: Simplify PI into PI 2.994 * [taylor]: Taking taylor expansion of n in n 2.994 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify 1 into 1 2.995 * [backup-simplify]: Simplify (/ PI 1) into PI 2.996 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.997 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.997 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.997 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.997 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.998 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.999 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 2.999 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 2.999 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 2.999 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 2.999 * [taylor]: Taking taylor expansion of 0.5 in k 2.999 * [backup-simplify]: Simplify 0.5 into 0.5 2.999 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 2.999 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.999 * [taylor]: Taking taylor expansion of 1.0 in k 3.000 * [backup-simplify]: Simplify 1.0 into 1.0 3.000 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.000 * [taylor]: Taking taylor expansion of k in k 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify 1 into 1 3.000 * [backup-simplify]: Simplify (/ 1 1) into 1 3.000 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.000 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.000 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.000 * [taylor]: Taking taylor expansion of 2.0 in k 3.000 * [backup-simplify]: Simplify 2.0 into 2.0 3.000 * [taylor]: Taking taylor expansion of PI in k 3.000 * [backup-simplify]: Simplify PI into PI 3.000 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.001 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.001 * [taylor]: Taking taylor expansion of (log n) in k 3.001 * [taylor]: Taking taylor expansion of n in k 3.001 * [backup-simplify]: Simplify n into n 3.001 * [backup-simplify]: Simplify (log n) into (log n) 3.001 * [backup-simplify]: Simplify (- 1) into -1 3.001 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.002 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 3.002 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 3.003 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 3.004 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 3.004 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 3.005 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 3.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.006 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.007 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.007 * [backup-simplify]: Simplify (- 0) into 0 3.008 * [backup-simplify]: Simplify (+ 0 0) into 0 3.008 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 3.009 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.010 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 3.011 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.011 * [taylor]: Taking taylor expansion of 0 in k 3.011 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.012 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.014 * [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 3.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.015 * [backup-simplify]: Simplify (- 0) into 0 3.015 * [backup-simplify]: Simplify (+ 0 0) into 0 3.015 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 3.016 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.017 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 3.019 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.019 * [taylor]: Taking taylor expansion of 0 in k 3.019 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.020 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.023 * [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 3.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.024 * [backup-simplify]: Simplify (- 0) into 0 3.024 * [backup-simplify]: Simplify (+ 0 0) into 0 3.025 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 3.026 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.028 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 3.031 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.031 * [taylor]: Taking taylor expansion of 0 in k 3.031 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 3.033 * [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))) 3.033 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.033 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.033 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.033 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.033 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.033 * [taylor]: Taking taylor expansion of 0.5 in k 3.033 * [backup-simplify]: Simplify 0.5 into 0.5 3.033 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.033 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.033 * [taylor]: Taking taylor expansion of k in k 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 1 into 1 3.034 * [backup-simplify]: Simplify (/ 1 1) into 1 3.034 * [taylor]: Taking taylor expansion of 1.0 in k 3.034 * [backup-simplify]: Simplify 1.0 into 1.0 3.034 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.034 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.034 * [taylor]: Taking taylor expansion of -2.0 in k 3.034 * [backup-simplify]: Simplify -2.0 into -2.0 3.034 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.034 * [taylor]: Taking taylor expansion of PI in k 3.034 * [backup-simplify]: Simplify PI into PI 3.034 * [taylor]: Taking taylor expansion of n in k 3.034 * [backup-simplify]: Simplify n into n 3.034 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.034 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 3.034 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 3.035 * [backup-simplify]: Simplify (+ 1 0) into 1 3.035 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.035 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 3.036 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 3.036 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.036 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.036 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.036 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.036 * [taylor]: Taking taylor expansion of 0.5 in n 3.036 * [backup-simplify]: Simplify 0.5 into 0.5 3.036 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.036 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.036 * [taylor]: Taking taylor expansion of k in n 3.036 * [backup-simplify]: Simplify k into k 3.036 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.036 * [taylor]: Taking taylor expansion of 1.0 in n 3.036 * [backup-simplify]: Simplify 1.0 into 1.0 3.036 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.036 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.036 * [taylor]: Taking taylor expansion of -2.0 in n 3.036 * [backup-simplify]: Simplify -2.0 into -2.0 3.036 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.036 * [taylor]: Taking taylor expansion of PI in n 3.036 * [backup-simplify]: Simplify PI into PI 3.036 * [taylor]: Taking taylor expansion of n in n 3.036 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify 1 into 1 3.037 * [backup-simplify]: Simplify (/ PI 1) into PI 3.037 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.038 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.038 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.038 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.040 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.041 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 3.042 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 3.042 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.042 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.042 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.042 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.042 * [taylor]: Taking taylor expansion of 0.5 in n 3.042 * [backup-simplify]: Simplify 0.5 into 0.5 3.042 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.043 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.043 * [taylor]: Taking taylor expansion of k in n 3.043 * [backup-simplify]: Simplify k into k 3.043 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.043 * [taylor]: Taking taylor expansion of 1.0 in n 3.043 * [backup-simplify]: Simplify 1.0 into 1.0 3.043 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.043 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.043 * [taylor]: Taking taylor expansion of -2.0 in n 3.043 * [backup-simplify]: Simplify -2.0 into -2.0 3.043 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.043 * [taylor]: Taking taylor expansion of PI in n 3.043 * [backup-simplify]: Simplify PI into PI 3.043 * [taylor]: Taking taylor expansion of n in n 3.043 * [backup-simplify]: Simplify 0 into 0 3.043 * [backup-simplify]: Simplify 1 into 1 3.046 * [backup-simplify]: Simplify (/ PI 1) into PI 3.047 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.048 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.048 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.048 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.049 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.050 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 3.051 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 3.051 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 3.051 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 3.051 * [taylor]: Taking taylor expansion of 0.5 in k 3.051 * [backup-simplify]: Simplify 0.5 into 0.5 3.051 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 3.051 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.051 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.051 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.051 * [taylor]: Taking taylor expansion of -2.0 in k 3.051 * [backup-simplify]: Simplify -2.0 into -2.0 3.051 * [taylor]: Taking taylor expansion of PI in k 3.051 * [backup-simplify]: Simplify PI into PI 3.051 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.052 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.052 * [taylor]: Taking taylor expansion of (log n) in k 3.052 * [taylor]: Taking taylor expansion of n in k 3.052 * [backup-simplify]: Simplify n into n 3.052 * [backup-simplify]: Simplify (log n) into (log n) 3.052 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.052 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.052 * [taylor]: Taking taylor expansion of k in k 3.052 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify 1 into 1 3.052 * [backup-simplify]: Simplify (/ 1 1) into 1 3.053 * [taylor]: Taking taylor expansion of 1.0 in k 3.053 * [backup-simplify]: Simplify 1.0 into 1.0 3.053 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 3.053 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 3.054 * [backup-simplify]: Simplify (+ 1 0) into 1 3.054 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 3.055 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 3.056 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 3.056 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 3.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.057 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 3.058 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 3.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.059 * [backup-simplify]: Simplify (+ 0 0) into 0 3.059 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 3.060 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.061 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 3.062 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.062 * [taylor]: Taking taylor expansion of 0 in k 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.063 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.065 * [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 3.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.066 * [backup-simplify]: Simplify (+ 0 0) into 0 3.066 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 3.067 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.068 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 3.069 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.069 * [taylor]: Taking taylor expansion of 0 in k 3.070 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.071 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.075 * [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 3.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.076 * [backup-simplify]: Simplify (+ 0 0) into 0 3.077 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 3.079 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.081 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 3.083 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.083 * [taylor]: Taking taylor expansion of 0 in k 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify 0 into 0 3.085 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 3.085 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 3.086 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 3.086 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.086 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.086 * [taylor]: Taking taylor expansion of 2.0 in n 3.086 * [backup-simplify]: Simplify 2.0 into 2.0 3.086 * [taylor]: Taking taylor expansion of (* n PI) in n 3.086 * [taylor]: Taking taylor expansion of n in n 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [taylor]: Taking taylor expansion of PI in n 3.086 * [backup-simplify]: Simplify PI into PI 3.086 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.086 * [taylor]: Taking taylor expansion of 2.0 in n 3.086 * [backup-simplify]: Simplify 2.0 into 2.0 3.086 * [taylor]: Taking taylor expansion of (* n PI) in n 3.086 * [taylor]: Taking taylor expansion of n in n 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [taylor]: Taking taylor expansion of PI in n 3.086 * [backup-simplify]: Simplify PI into PI 3.087 * [backup-simplify]: Simplify (* 0 PI) into 0 3.087 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.087 * [backup-simplify]: Simplify 0 into 0 3.089 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.090 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.091 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.093 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 3.093 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.095 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 3.095 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.098 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 3.098 * [backup-simplify]: Simplify 0 into 0 3.099 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.101 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 3.101 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.104 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 3.104 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 3.109 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 3.109 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 3.111 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 3.111 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.111 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.111 * [taylor]: Taking taylor expansion of 2.0 in n 3.111 * [backup-simplify]: Simplify 2.0 into 2.0 3.111 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.111 * [taylor]: Taking taylor expansion of PI in n 3.111 * [backup-simplify]: Simplify PI into PI 3.111 * [taylor]: Taking taylor expansion of n in n 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 1 into 1 3.111 * [backup-simplify]: Simplify (/ PI 1) into PI 3.111 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.111 * [taylor]: Taking taylor expansion of 2.0 in n 3.111 * [backup-simplify]: Simplify 2.0 into 2.0 3.112 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.112 * [taylor]: Taking taylor expansion of PI in n 3.112 * [backup-simplify]: Simplify PI into PI 3.112 * [taylor]: Taking taylor expansion of n in n 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 1 into 1 3.112 * [backup-simplify]: Simplify (/ PI 1) into PI 3.113 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.113 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.115 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.115 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.117 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.118 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.120 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.120 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.122 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.122 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.125 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.125 * [backup-simplify]: Simplify 0 into 0 3.126 * [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 3.128 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.128 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 3.129 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 3.129 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.129 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.129 * [taylor]: Taking taylor expansion of -2.0 in n 3.129 * [backup-simplify]: Simplify -2.0 into -2.0 3.129 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.129 * [taylor]: Taking taylor expansion of PI in n 3.129 * [backup-simplify]: Simplify PI into PI 3.129 * [taylor]: Taking taylor expansion of n in n 3.129 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify 1 into 1 3.129 * [backup-simplify]: Simplify (/ PI 1) into PI 3.129 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.130 * [taylor]: Taking taylor expansion of -2.0 in n 3.130 * [backup-simplify]: Simplify -2.0 into -2.0 3.130 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.130 * [taylor]: Taking taylor expansion of PI in n 3.130 * [backup-simplify]: Simplify PI into PI 3.130 * [taylor]: Taking taylor expansion of n in n 3.130 * [backup-simplify]: Simplify 0 into 0 3.130 * [backup-simplify]: Simplify 1 into 1 3.130 * [backup-simplify]: Simplify (/ PI 1) into PI 3.130 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.131 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.132 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 3.132 * [backup-simplify]: Simplify 0 into 0 3.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.133 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.133 * [backup-simplify]: Simplify 0 into 0 3.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.134 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.134 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.136 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.136 * [backup-simplify]: Simplify 0 into 0 3.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.137 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.137 * [backup-simplify]: Simplify 0 into 0 3.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.139 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.139 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 3.139 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.139 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 3.139 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.139 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.139 * [taylor]: Taking taylor expansion of 1.0 in k 3.139 * [backup-simplify]: Simplify 1.0 into 1.0 3.139 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.139 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.139 * [taylor]: Taking taylor expansion of k in k 3.139 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify 1 into 1 3.140 * [backup-simplify]: Simplify (/ 1 1) into 1 3.140 * [backup-simplify]: Simplify (sqrt 0) into 0 3.141 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.141 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.141 * [taylor]: Taking taylor expansion of 1.0 in k 3.141 * [backup-simplify]: Simplify 1.0 into 1.0 3.141 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.141 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.141 * [taylor]: Taking taylor expansion of k in k 3.141 * [backup-simplify]: Simplify 0 into 0 3.141 * [backup-simplify]: Simplify 1 into 1 3.141 * [backup-simplify]: Simplify (/ 1 1) into 1 3.141 * [backup-simplify]: Simplify (sqrt 0) into 0 3.142 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.143 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 3.144 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.146 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.147 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 3.147 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.150 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.151 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 3.152 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.153 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 3.153 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 3.153 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.153 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.153 * [taylor]: Taking taylor expansion of 1.0 in k 3.153 * [backup-simplify]: Simplify 1.0 into 1.0 3.153 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.153 * [taylor]: Taking taylor expansion of k in k 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 1 into 1 3.153 * [backup-simplify]: Simplify (sqrt 0) into 0 3.154 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.154 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.154 * [taylor]: Taking taylor expansion of 1.0 in k 3.154 * [backup-simplify]: Simplify 1.0 into 1.0 3.154 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.154 * [taylor]: Taking taylor expansion of k in k 3.154 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify 1 into 1 3.154 * [backup-simplify]: Simplify (sqrt 0) into 0 3.155 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.155 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.155 * [backup-simplify]: Simplify 0 into 0 3.156 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 3.156 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.161 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.162 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 3.162 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.165 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.166 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 3.166 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.167 * [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)))))))) 3.168 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 3.168 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.168 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.168 * [taylor]: Taking taylor expansion of 1.0 in k 3.168 * [backup-simplify]: Simplify 1.0 into 1.0 3.168 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.168 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.168 * [taylor]: Taking taylor expansion of -1 in k 3.168 * [backup-simplify]: Simplify -1 into -1 3.168 * [taylor]: Taking taylor expansion of k in k 3.168 * [backup-simplify]: Simplify 0 into 0 3.168 * [backup-simplify]: Simplify 1 into 1 3.168 * [backup-simplify]: Simplify (/ -1 1) into -1 3.168 * [backup-simplify]: Simplify (sqrt 0) into 0 3.169 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.169 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 3.169 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.169 * [taylor]: Taking taylor expansion of 1.0 in k 3.169 * [backup-simplify]: Simplify 1.0 into 1.0 3.169 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.169 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.169 * [taylor]: Taking taylor expansion of -1 in k 3.169 * [backup-simplify]: Simplify -1 into -1 3.169 * [taylor]: Taking taylor expansion of k in k 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify 1 into 1 3.170 * [backup-simplify]: Simplify (/ -1 1) into -1 3.170 * [backup-simplify]: Simplify (sqrt 0) into 0 3.171 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.171 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 3.171 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.173 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.175 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 3.175 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.180 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 3.181 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.181 * [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))))) 3.181 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.182 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) 3.182 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (k n) around 0 3.182 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 3.182 * [taylor]: Taking taylor expansion of 1.0 in n 3.182 * [backup-simplify]: Simplify 1.0 into 1.0 3.182 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 3.182 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.182 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.182 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.182 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.182 * [taylor]: Taking taylor expansion of 0.5 in n 3.182 * [backup-simplify]: Simplify 0.5 into 0.5 3.182 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.182 * [taylor]: Taking taylor expansion of 1.0 in n 3.182 * [backup-simplify]: Simplify 1.0 into 1.0 3.182 * [taylor]: Taking taylor expansion of k in n 3.182 * [backup-simplify]: Simplify k into k 3.182 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.182 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.182 * [taylor]: Taking taylor expansion of 2.0 in n 3.182 * [backup-simplify]: Simplify 2.0 into 2.0 3.182 * [taylor]: Taking taylor expansion of (* n PI) in n 3.182 * [taylor]: Taking taylor expansion of n in n 3.182 * [backup-simplify]: Simplify 0 into 0 3.182 * [backup-simplify]: Simplify 1 into 1 3.182 * [taylor]: Taking taylor expansion of PI in n 3.182 * [backup-simplify]: Simplify PI into PI 3.183 * [backup-simplify]: Simplify (* 0 PI) into 0 3.183 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.184 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.185 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.185 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.185 * [backup-simplify]: Simplify (- k) into (- k) 3.185 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.186 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.186 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.187 * [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)))) 3.188 * [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))))) 3.188 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.188 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.188 * [taylor]: Taking taylor expansion of k in n 3.188 * [backup-simplify]: Simplify k into k 3.188 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.188 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 3.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 3.188 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 3.188 * [taylor]: Taking taylor expansion of 1.0 in k 3.188 * [backup-simplify]: Simplify 1.0 into 1.0 3.188 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 3.188 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.188 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.188 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.188 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.188 * [taylor]: Taking taylor expansion of 0.5 in k 3.188 * [backup-simplify]: Simplify 0.5 into 0.5 3.188 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.188 * [taylor]: Taking taylor expansion of 1.0 in k 3.188 * [backup-simplify]: Simplify 1.0 into 1.0 3.188 * [taylor]: Taking taylor expansion of k in k 3.188 * [backup-simplify]: Simplify 0 into 0 3.188 * [backup-simplify]: Simplify 1 into 1 3.188 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.188 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.188 * [taylor]: Taking taylor expansion of 2.0 in k 3.188 * [backup-simplify]: Simplify 2.0 into 2.0 3.188 * [taylor]: Taking taylor expansion of (* n PI) in k 3.188 * [taylor]: Taking taylor expansion of n in k 3.189 * [backup-simplify]: Simplify n into n 3.189 * [taylor]: Taking taylor expansion of PI in k 3.189 * [backup-simplify]: Simplify PI into PI 3.189 * [backup-simplify]: Simplify (* n PI) into (* n PI) 3.189 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 3.189 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 3.189 * [backup-simplify]: Simplify (- 0) into 0 3.189 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.190 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.190 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 3.190 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 3.190 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.190 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.190 * [taylor]: Taking taylor expansion of k in k 3.190 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify 1 into 1 3.190 * [backup-simplify]: Simplify (/ 1 1) into 1 3.190 * [backup-simplify]: Simplify (sqrt 0) into 0 3.191 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.191 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 3.191 * [taylor]: Taking taylor expansion of 1.0 in k 3.191 * [backup-simplify]: Simplify 1.0 into 1.0 3.191 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 3.191 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.191 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.191 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.191 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.191 * [taylor]: Taking taylor expansion of 0.5 in k 3.191 * [backup-simplify]: Simplify 0.5 into 0.5 3.191 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.191 * [taylor]: Taking taylor expansion of 1.0 in k 3.192 * [backup-simplify]: Simplify 1.0 into 1.0 3.192 * [taylor]: Taking taylor expansion of k in k 3.192 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify 1 into 1 3.192 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.192 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.192 * [taylor]: Taking taylor expansion of 2.0 in k 3.192 * [backup-simplify]: Simplify 2.0 into 2.0 3.192 * [taylor]: Taking taylor expansion of (* n PI) in k 3.192 * [taylor]: Taking taylor expansion of n in k 3.192 * [backup-simplify]: Simplify n into n 3.192 * [taylor]: Taking taylor expansion of PI in k 3.192 * [backup-simplify]: Simplify PI into PI 3.192 * [backup-simplify]: Simplify (* n PI) into (* n PI) 3.192 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 3.192 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 3.192 * [backup-simplify]: Simplify (- 0) into 0 3.192 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.193 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.193 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 3.193 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 3.193 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.193 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.193 * [taylor]: Taking taylor expansion of k in k 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 1 into 1 3.193 * [backup-simplify]: Simplify (/ 1 1) into 1 3.193 * [backup-simplify]: Simplify (sqrt 0) into 0 3.194 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.195 * [backup-simplify]: Simplify (* (pow (* 2.0 (* n PI)) 0.5) 0) into 0 3.195 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.195 * [taylor]: Taking taylor expansion of 0 in n 3.195 * [backup-simplify]: Simplify 0 into 0 3.195 * [backup-simplify]: Simplify 0 into 0 3.195 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 3.196 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 3.197 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 3.197 * [backup-simplify]: Simplify (- 1) into -1 3.197 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.198 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 3.199 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 3.199 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) 3.200 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 3.201 * [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))) 3.201 * [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 3.201 * [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 3.201 * [taylor]: Taking taylor expansion of +nan.0 in n 3.201 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.201 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.201 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.201 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.201 * [taylor]: Taking taylor expansion of 0.5 in n 3.201 * [backup-simplify]: Simplify 0.5 into 0.5 3.201 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.201 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.201 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.201 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.201 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.201 * [taylor]: Taking taylor expansion of 1.0 in n 3.201 * [backup-simplify]: Simplify 1.0 into 1.0 3.201 * [taylor]: Taking taylor expansion of (log PI) in n 3.201 * [taylor]: Taking taylor expansion of PI in n 3.201 * [backup-simplify]: Simplify PI into PI 3.202 * [backup-simplify]: Simplify (log PI) into (log PI) 3.202 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.203 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.203 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.203 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.203 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.203 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.203 * [taylor]: Taking taylor expansion of 1.0 in n 3.203 * [backup-simplify]: Simplify 1.0 into 1.0 3.203 * [taylor]: Taking taylor expansion of (log n) in n 3.203 * [taylor]: Taking taylor expansion of n in n 3.204 * [backup-simplify]: Simplify 0 into 0 3.204 * [backup-simplify]: Simplify 1 into 1 3.204 * [backup-simplify]: Simplify (log 1) into 0 3.204 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.204 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.204 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.204 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.204 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.204 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.204 * [taylor]: Taking taylor expansion of 1.0 in n 3.204 * [backup-simplify]: Simplify 1.0 into 1.0 3.204 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.204 * [taylor]: Taking taylor expansion of 2.0 in n 3.204 * [backup-simplify]: Simplify 2.0 into 2.0 3.205 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.205 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.206 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.206 * [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) 3.207 * [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) 3.208 * [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)) 3.209 * [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))) 3.210 * [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) 3.211 * [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)) 3.212 * [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))) 3.212 * [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))) 3.212 * [backup-simplify]: Simplify 0 into 0 3.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.215 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.215 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 3.216 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 3.217 * [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 3.217 * [backup-simplify]: Simplify (- 0) into 0 3.217 * [backup-simplify]: Simplify (+ 0 0) into 0 3.218 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 3.218 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 3.219 * [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 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) 3.221 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) +nan.0) (* (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) 3.225 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 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) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 3.225 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 3.225 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 3.225 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 3.225 * [taylor]: Taking taylor expansion of +nan.0 in n 3.225 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.225 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 3.225 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.225 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.225 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.225 * [taylor]: Taking taylor expansion of 0.5 in n 3.225 * [backup-simplify]: Simplify 0.5 into 0.5 3.225 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.225 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.225 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.225 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.225 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.225 * [taylor]: Taking taylor expansion of 1.0 in n 3.225 * [backup-simplify]: Simplify 1.0 into 1.0 3.225 * [taylor]: Taking taylor expansion of (log PI) in n 3.225 * [taylor]: Taking taylor expansion of PI in n 3.225 * [backup-simplify]: Simplify PI into PI 3.225 * [backup-simplify]: Simplify (log PI) into (log PI) 3.226 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.227 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.227 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.227 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.227 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.227 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.227 * [taylor]: Taking taylor expansion of 1.0 in n 3.227 * [backup-simplify]: Simplify 1.0 into 1.0 3.227 * [taylor]: Taking taylor expansion of (log n) in n 3.227 * [taylor]: Taking taylor expansion of n in n 3.227 * [backup-simplify]: Simplify 0 into 0 3.227 * [backup-simplify]: Simplify 1 into 1 3.227 * [backup-simplify]: Simplify (log 1) into 0 3.228 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.228 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.228 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.228 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.228 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.228 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.228 * [taylor]: Taking taylor expansion of 1.0 in n 3.228 * [backup-simplify]: Simplify 1.0 into 1.0 3.228 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.228 * [taylor]: Taking taylor expansion of 2.0 in n 3.228 * [backup-simplify]: Simplify 2.0 into 2.0 3.228 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.229 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.230 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.231 * [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) 3.231 * [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) 3.232 * [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)) 3.233 * [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))) 3.234 * [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) 3.234 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.234 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.234 * [taylor]: Taking taylor expansion of 2.0 in n 3.234 * [backup-simplify]: Simplify 2.0 into 2.0 3.234 * [taylor]: Taking taylor expansion of (* n PI) in n 3.234 * [taylor]: Taking taylor expansion of n in n 3.234 * [backup-simplify]: Simplify 0 into 0 3.234 * [backup-simplify]: Simplify 1 into 1 3.234 * [taylor]: Taking taylor expansion of PI in n 3.234 * [backup-simplify]: Simplify PI into PI 3.234 * [backup-simplify]: Simplify (* 0 PI) into 0 3.235 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.236 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.237 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.237 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.237 * [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 3.237 * [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 3.237 * [taylor]: Taking taylor expansion of +nan.0 in n 3.237 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.237 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.237 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.237 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.237 * [taylor]: Taking taylor expansion of 0.5 in n 3.237 * [backup-simplify]: Simplify 0.5 into 0.5 3.237 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.237 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.237 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.237 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.237 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.237 * [taylor]: Taking taylor expansion of 1.0 in n 3.237 * [backup-simplify]: Simplify 1.0 into 1.0 3.237 * [taylor]: Taking taylor expansion of (log PI) in n 3.237 * [taylor]: Taking taylor expansion of PI in n 3.238 * [backup-simplify]: Simplify PI into PI 3.238 * [backup-simplify]: Simplify (log PI) into (log PI) 3.238 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.239 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.239 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.239 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.239 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.239 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.239 * [taylor]: Taking taylor expansion of 1.0 in n 3.239 * [backup-simplify]: Simplify 1.0 into 1.0 3.240 * [taylor]: Taking taylor expansion of (log n) in n 3.240 * [taylor]: Taking taylor expansion of n in n 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 1 into 1 3.240 * [backup-simplify]: Simplify (log 1) into 0 3.240 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.240 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.240 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.240 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.240 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.240 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.240 * [taylor]: Taking taylor expansion of 1.0 in n 3.240 * [backup-simplify]: Simplify 1.0 into 1.0 3.240 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.240 * [taylor]: Taking taylor expansion of 2.0 in n 3.240 * [backup-simplify]: Simplify 2.0 into 2.0 3.241 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.241 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.242 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.243 * [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) 3.243 * [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) 3.244 * [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)) 3.245 * [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))) 3.246 * [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) 3.247 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.248 * [backup-simplify]: Simplify (* (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) (+ (log (* 2.0 PI)) (log n))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n))) 3.250 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) 3.253 * [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)) 3.254 * [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))) 3.257 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) (- (* +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) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) 3.260 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +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 n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI))))))))) 3.264 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +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 n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) 3.265 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 3.265 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 3.266 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 3.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.267 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.267 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 3.268 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 3.268 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 3.269 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 3.270 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 3.271 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 3.272 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 3.273 * [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 3.274 * [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 3.275 * [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 3.277 * [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 3.277 * [backup-simplify]: Simplify (- 0) into 0 3.277 * [backup-simplify]: Simplify 0 into 0 3.277 * [backup-simplify]: Simplify 0 into 0 3.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.280 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.281 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 3.283 * [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 3.283 * [backup-simplify]: Simplify (- 0) into 0 3.283 * [backup-simplify]: Simplify (+ 0 0) into 0 3.284 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 3.285 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 3.286 * [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 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 3))) 3.289 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) +nan.0) (+ (* (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) +nan.0) (* (* -0.020833333333333332 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 3.296 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 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) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 3.296 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 3.296 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 3.296 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 3.296 * [taylor]: Taking taylor expansion of +nan.0 in n 3.296 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.296 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 3.296 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.296 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.296 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.296 * [taylor]: Taking taylor expansion of 0.5 in n 3.296 * [backup-simplify]: Simplify 0.5 into 0.5 3.296 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.296 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.296 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.296 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.296 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.296 * [taylor]: Taking taylor expansion of 1.0 in n 3.296 * [backup-simplify]: Simplify 1.0 into 1.0 3.296 * [taylor]: Taking taylor expansion of (log PI) in n 3.296 * [taylor]: Taking taylor expansion of PI in n 3.296 * [backup-simplify]: Simplify PI into PI 3.296 * [backup-simplify]: Simplify (log PI) into (log PI) 3.297 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.298 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.298 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.298 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.298 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.298 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.298 * [taylor]: Taking taylor expansion of 1.0 in n 3.298 * [backup-simplify]: Simplify 1.0 into 1.0 3.298 * [taylor]: Taking taylor expansion of (log n) in n 3.298 * [taylor]: Taking taylor expansion of n in n 3.298 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify 1 into 1 3.298 * [backup-simplify]: Simplify (log 1) into 0 3.299 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.299 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.299 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.299 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.299 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.299 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.299 * [taylor]: Taking taylor expansion of 1.0 in n 3.299 * [backup-simplify]: Simplify 1.0 into 1.0 3.299 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.299 * [taylor]: Taking taylor expansion of 2.0 in n 3.299 * [backup-simplify]: Simplify 2.0 into 2.0 3.299 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.300 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.301 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.301 * [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) 3.302 * [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) 3.303 * [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)) 3.304 * [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))) 3.304 * [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) 3.304 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.304 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.305 * [taylor]: Taking taylor expansion of 2.0 in n 3.305 * [backup-simplify]: Simplify 2.0 into 2.0 3.305 * [taylor]: Taking taylor expansion of (* n PI) in n 3.305 * [taylor]: Taking taylor expansion of n in n 3.305 * [backup-simplify]: Simplify 0 into 0 3.305 * [backup-simplify]: Simplify 1 into 1 3.305 * [taylor]: Taking taylor expansion of PI in n 3.305 * [backup-simplify]: Simplify PI into PI 3.305 * [backup-simplify]: Simplify (* 0 PI) into 0 3.305 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.306 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.307 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.308 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.308 * [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 PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 3.308 * [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 PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 3.308 * [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 3.308 * [taylor]: Taking taylor expansion of +nan.0 in n 3.308 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.308 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.308 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.308 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.308 * [taylor]: Taking taylor expansion of 0.5 in n 3.308 * [backup-simplify]: Simplify 0.5 into 0.5 3.308 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.308 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.308 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.308 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.308 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.308 * [taylor]: Taking taylor expansion of 1.0 in n 3.308 * [backup-simplify]: Simplify 1.0 into 1.0 3.308 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.308 * [taylor]: Taking taylor expansion of 2.0 in n 3.308 * [backup-simplify]: Simplify 2.0 into 2.0 3.308 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.309 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.310 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.310 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.310 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.310 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.310 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.310 * [taylor]: Taking taylor expansion of 1.0 in n 3.310 * [backup-simplify]: Simplify 1.0 into 1.0 3.310 * [taylor]: Taking taylor expansion of (log n) in n 3.310 * [taylor]: Taking taylor expansion of n in n 3.310 * [backup-simplify]: Simplify 0 into 0 3.310 * [backup-simplify]: Simplify 1 into 1 3.310 * [backup-simplify]: Simplify (log 1) into 0 3.310 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.310 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.311 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.311 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.311 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.311 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.311 * [taylor]: Taking taylor expansion of 1.0 in n 3.311 * [backup-simplify]: Simplify 1.0 into 1.0 3.311 * [taylor]: Taking taylor expansion of (log PI) in n 3.311 * [taylor]: Taking taylor expansion of PI in n 3.311 * [backup-simplify]: Simplify PI into PI 3.311 * [backup-simplify]: Simplify (log PI) into (log PI) 3.312 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.312 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.313 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 3.314 * [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) 3.315 * [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)) 3.316 * [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))) 3.316 * [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) 3.316 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 3.316 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 3.317 * [taylor]: Taking taylor expansion of +nan.0 in n 3.317 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.317 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 3.317 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.317 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.317 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.317 * [taylor]: Taking taylor expansion of 0.5 in n 3.317 * [backup-simplify]: Simplify 0.5 into 0.5 3.317 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.317 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.317 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.317 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.317 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.317 * [taylor]: Taking taylor expansion of 1.0 in n 3.317 * [backup-simplify]: Simplify 1.0 into 1.0 3.317 * [taylor]: Taking taylor expansion of (log PI) in n 3.317 * [taylor]: Taking taylor expansion of PI in n 3.317 * [backup-simplify]: Simplify PI into PI 3.317 * [backup-simplify]: Simplify (log PI) into (log PI) 3.318 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.319 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.319 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.319 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.319 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.319 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.319 * [taylor]: Taking taylor expansion of 1.0 in n 3.319 * [backup-simplify]: Simplify 1.0 into 1.0 3.319 * [taylor]: Taking taylor expansion of (log n) in n 3.319 * [taylor]: Taking taylor expansion of n in n 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 1 into 1 3.319 * [backup-simplify]: Simplify (log 1) into 0 3.319 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.319 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.319 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.319 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.319 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.320 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.320 * [taylor]: Taking taylor expansion of 1.0 in n 3.320 * [backup-simplify]: Simplify 1.0 into 1.0 3.320 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.320 * [taylor]: Taking taylor expansion of 2.0 in n 3.320 * [backup-simplify]: Simplify 2.0 into 2.0 3.320 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.321 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.321 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.322 * [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) 3.323 * [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) 3.323 * [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)) 3.324 * [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))) 3.325 * [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) 3.325 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.325 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.325 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.325 * [taylor]: Taking taylor expansion of 2.0 in n 3.325 * [backup-simplify]: Simplify 2.0 into 2.0 3.325 * [taylor]: Taking taylor expansion of (* n PI) in n 3.325 * [taylor]: Taking taylor expansion of n in n 3.325 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify 1 into 1 3.325 * [taylor]: Taking taylor expansion of PI in n 3.325 * [backup-simplify]: Simplify PI into PI 3.326 * [backup-simplify]: Simplify (* 0 PI) into 0 3.326 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.327 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.328 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.329 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.330 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.330 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.332 * [backup-simplify]: Simplify (* (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) (+ (log (* 2.0 PI)) (log n))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n))) 3.334 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) 3.334 * [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)) 3.335 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.336 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.338 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 3.340 * [backup-simplify]: Simplify (* (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) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) 3.341 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2))) 3.346 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2)))))))) 3.352 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) 3.359 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (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) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (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) (pow (log n) 2)))))))))) 3.369 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (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) (pow (log n) 2))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) 3.379 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) 3.389 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +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 n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n))))))))))))))) 3.403 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +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 n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n))))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) k)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow k 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log n) 2) (pow k 2))))))))))))))))))))))) 3.404 * [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 (- 1.0 (/ 1 k)))) (sqrt k))) 3.404 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in (k n) around 0 3.404 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in n 3.404 * [taylor]: Taking taylor expansion of 1.0 in n 3.404 * [backup-simplify]: Simplify 1.0 into 1.0 3.404 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in n 3.404 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.404 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.404 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.404 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.404 * [taylor]: Taking taylor expansion of 0.5 in n 3.404 * [backup-simplify]: Simplify 0.5 into 0.5 3.404 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.404 * [taylor]: Taking taylor expansion of 1.0 in n 3.404 * [backup-simplify]: Simplify 1.0 into 1.0 3.404 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.404 * [taylor]: Taking taylor expansion of k in n 3.404 * [backup-simplify]: Simplify k into k 3.404 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.405 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.405 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.405 * [taylor]: Taking taylor expansion of 2.0 in n 3.405 * [backup-simplify]: Simplify 2.0 into 2.0 3.405 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.405 * [taylor]: Taking taylor expansion of PI in n 3.405 * [backup-simplify]: Simplify PI into PI 3.405 * [taylor]: Taking taylor expansion of n in n 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 1 into 1 3.405 * [backup-simplify]: Simplify (/ PI 1) into PI 3.405 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.406 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.406 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.406 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.406 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.407 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.408 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 3.408 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 3.408 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.408 * [taylor]: Taking taylor expansion of k in n 3.409 * [backup-simplify]: Simplify k into k 3.409 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 3.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 3.409 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 3.409 * [taylor]: Taking taylor expansion of 1.0 in k 3.409 * [backup-simplify]: Simplify 1.0 into 1.0 3.409 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 3.409 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.409 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.409 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.409 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.409 * [taylor]: Taking taylor expansion of 0.5 in k 3.409 * [backup-simplify]: Simplify 0.5 into 0.5 3.409 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.409 * [taylor]: Taking taylor expansion of 1.0 in k 3.409 * [backup-simplify]: Simplify 1.0 into 1.0 3.409 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.409 * [taylor]: Taking taylor expansion of k in k 3.409 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify 1 into 1 3.409 * [backup-simplify]: Simplify (/ 1 1) into 1 3.409 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.409 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.409 * [taylor]: Taking taylor expansion of 2.0 in k 3.409 * [backup-simplify]: Simplify 2.0 into 2.0 3.409 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.409 * [taylor]: Taking taylor expansion of PI in k 3.409 * [backup-simplify]: Simplify PI into PI 3.409 * [taylor]: Taking taylor expansion of n in k 3.409 * [backup-simplify]: Simplify n into n 3.409 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.409 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.409 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.410 * [backup-simplify]: Simplify (- 1) into -1 3.410 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.410 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.410 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.410 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 3.410 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.410 * [taylor]: Taking taylor expansion of k in k 3.410 * [backup-simplify]: Simplify 0 into 0 3.410 * [backup-simplify]: Simplify 1 into 1 3.411 * [backup-simplify]: Simplify (sqrt 0) into 0 3.412 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.412 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 3.412 * [taylor]: Taking taylor expansion of 1.0 in k 3.412 * [backup-simplify]: Simplify 1.0 into 1.0 3.412 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 3.412 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.412 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.412 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.412 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.412 * [taylor]: Taking taylor expansion of 0.5 in k 3.412 * [backup-simplify]: Simplify 0.5 into 0.5 3.412 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.412 * [taylor]: Taking taylor expansion of 1.0 in k 3.412 * [backup-simplify]: Simplify 1.0 into 1.0 3.412 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.412 * [taylor]: Taking taylor expansion of k in k 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify 1 into 1 3.412 * [backup-simplify]: Simplify (/ 1 1) into 1 3.412 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.412 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.412 * [taylor]: Taking taylor expansion of 2.0 in k 3.412 * [backup-simplify]: Simplify 2.0 into 2.0 3.412 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.412 * [taylor]: Taking taylor expansion of PI in k 3.412 * [backup-simplify]: Simplify PI into PI 3.412 * [taylor]: Taking taylor expansion of n in k 3.412 * [backup-simplify]: Simplify n into n 3.412 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.412 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.412 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.413 * [backup-simplify]: Simplify (- 1) into -1 3.413 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.413 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.413 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.413 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 3.413 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.413 * [taylor]: Taking taylor expansion of k in k 3.414 * [backup-simplify]: Simplify 0 into 0 3.414 * [backup-simplify]: Simplify 1 into 1 3.414 * [backup-simplify]: Simplify (sqrt 0) into 0 3.415 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.415 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 0) into 0 3.415 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.415 * [taylor]: Taking taylor expansion of 0 in n 3.415 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify 0 into 0 3.416 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 3.416 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 3.416 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 3.416 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 3.416 * [taylor]: Taking taylor expansion of +nan.0 in n 3.416 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.416 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 3.416 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 3.416 * [taylor]: Taking taylor expansion of 0.5 in n 3.416 * [backup-simplify]: Simplify 0.5 into 0.5 3.416 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 3.416 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.416 * [taylor]: Taking taylor expansion of 1.0 in n 3.416 * [backup-simplify]: Simplify 1.0 into 1.0 3.416 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.416 * [taylor]: Taking taylor expansion of k in n 3.416 * [backup-simplify]: Simplify k into k 3.416 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.416 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.416 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.416 * [taylor]: Taking taylor expansion of 2.0 in n 3.416 * [backup-simplify]: Simplify 2.0 into 2.0 3.416 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.416 * [taylor]: Taking taylor expansion of PI in n 3.416 * [backup-simplify]: Simplify PI into PI 3.416 * [taylor]: Taking taylor expansion of n in n 3.416 * [backup-simplify]: Simplify 0 into 0 3.416 * [backup-simplify]: Simplify 1 into 1 3.417 * [backup-simplify]: Simplify (/ PI 1) into PI 3.417 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.418 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.418 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.418 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.419 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.419 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 3.420 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 3.421 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 3.422 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 3.423 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 3.423 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 3.423 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.426 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 3.426 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 3.426 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 3.426 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 3.426 * [taylor]: Taking taylor expansion of +nan.0 in n 3.427 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.427 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 3.427 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 3.427 * [taylor]: Taking taylor expansion of 0.5 in n 3.427 * [backup-simplify]: Simplify 0.5 into 0.5 3.427 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 3.427 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.427 * [taylor]: Taking taylor expansion of 1.0 in n 3.427 * [backup-simplify]: Simplify 1.0 into 1.0 3.427 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.427 * [taylor]: Taking taylor expansion of k in n 3.427 * [backup-simplify]: Simplify k into k 3.427 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.427 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.427 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.427 * [taylor]: Taking taylor expansion of 2.0 in n 3.427 * [backup-simplify]: Simplify 2.0 into 2.0 3.427 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.427 * [taylor]: Taking taylor expansion of PI in n 3.427 * [backup-simplify]: Simplify PI into PI 3.427 * [taylor]: Taking taylor expansion of n in n 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 1 into 1 3.427 * [backup-simplify]: Simplify (/ PI 1) into PI 3.428 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.428 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.428 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.428 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.430 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.431 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 3.432 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 3.433 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 3.434 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 3.436 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 3.437 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 3.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.442 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.443 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.443 * [backup-simplify]: Simplify (- 0) into 0 3.444 * [backup-simplify]: Simplify (+ 0 0) into 0 3.444 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.445 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 3.446 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into 0 3.447 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.448 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into 0 3.449 * [backup-simplify]: Simplify (- 0) into 0 3.449 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.451 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 3.452 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 3.452 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 3.452 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 3.452 * [taylor]: Taking taylor expansion of +nan.0 in n 3.452 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.452 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 3.452 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 3.452 * [taylor]: Taking taylor expansion of 0.5 in n 3.452 * [backup-simplify]: Simplify 0.5 into 0.5 3.452 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 3.452 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.452 * [taylor]: Taking taylor expansion of 1.0 in n 3.452 * [backup-simplify]: Simplify 1.0 into 1.0 3.452 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.452 * [taylor]: Taking taylor expansion of k in n 3.453 * [backup-simplify]: Simplify k into k 3.453 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.453 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.453 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.453 * [taylor]: Taking taylor expansion of 2.0 in n 3.453 * [backup-simplify]: Simplify 2.0 into 2.0 3.453 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.453 * [taylor]: Taking taylor expansion of PI in n 3.453 * [backup-simplify]: Simplify PI into PI 3.453 * [taylor]: Taking taylor expansion of n in n 3.453 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify 1 into 1 3.453 * [backup-simplify]: Simplify (/ PI 1) into PI 3.453 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.454 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.454 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.454 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.455 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.456 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 3.456 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 3.457 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 3.458 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 3.459 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 3.460 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 3.462 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +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)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 3.463 * [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)))) 3.463 * [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 3.463 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 3.463 * [taylor]: Taking taylor expansion of 1.0 in n 3.463 * [backup-simplify]: Simplify 1.0 into 1.0 3.463 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 3.463 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.463 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.463 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.463 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.463 * [taylor]: Taking taylor expansion of 0.5 in n 3.463 * [backup-simplify]: Simplify 0.5 into 0.5 3.463 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.463 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.463 * [taylor]: Taking taylor expansion of k in n 3.463 * [backup-simplify]: Simplify k into k 3.463 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.463 * [taylor]: Taking taylor expansion of 1.0 in n 3.463 * [backup-simplify]: Simplify 1.0 into 1.0 3.463 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.463 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.463 * [taylor]: Taking taylor expansion of -2.0 in n 3.463 * [backup-simplify]: Simplify -2.0 into -2.0 3.463 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.464 * [taylor]: Taking taylor expansion of PI in n 3.464 * [backup-simplify]: Simplify PI into PI 3.464 * [taylor]: Taking taylor expansion of n in n 3.464 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify 1 into 1 3.464 * [backup-simplify]: Simplify (/ PI 1) into PI 3.464 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.465 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.465 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.465 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.466 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.467 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 3.468 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 3.468 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.468 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.468 * [taylor]: Taking taylor expansion of -1 in n 3.468 * [backup-simplify]: Simplify -1 into -1 3.468 * [taylor]: Taking taylor expansion of k in n 3.468 * [backup-simplify]: Simplify k into k 3.468 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 3.468 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 3.468 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 3.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 3.469 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) 3.469 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.469 * [taylor]: Taking taylor expansion of 1.0 in k 3.469 * [backup-simplify]: Simplify 1.0 into 1.0 3.469 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.469 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.469 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.469 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.469 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.469 * [taylor]: Taking taylor expansion of 0.5 in k 3.469 * [backup-simplify]: Simplify 0.5 into 0.5 3.469 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.469 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.469 * [taylor]: Taking taylor expansion of k in k 3.469 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify 1 into 1 3.469 * [backup-simplify]: Simplify (/ 1 1) into 1 3.469 * [taylor]: Taking taylor expansion of 1.0 in k 3.469 * [backup-simplify]: Simplify 1.0 into 1.0 3.469 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.469 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.469 * [taylor]: Taking taylor expansion of -2.0 in k 3.469 * [backup-simplify]: Simplify -2.0 into -2.0 3.469 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.469 * [taylor]: Taking taylor expansion of PI in k 3.469 * [backup-simplify]: Simplify PI into PI 3.469 * [taylor]: Taking taylor expansion of n in k 3.469 * [backup-simplify]: Simplify n into n 3.469 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.470 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 3.470 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 3.470 * [backup-simplify]: Simplify (+ 1 0) into 1 3.470 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.470 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 3.470 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 3.470 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.470 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.470 * [taylor]: Taking taylor expansion of -1 in k 3.470 * [backup-simplify]: Simplify -1 into -1 3.470 * [taylor]: Taking taylor expansion of k in k 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify 1 into 1 3.471 * [backup-simplify]: Simplify (/ -1 1) into -1 3.471 * [backup-simplify]: Simplify (sqrt 0) into 0 3.472 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.472 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 3.472 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.472 * [taylor]: Taking taylor expansion of 1.0 in k 3.472 * [backup-simplify]: Simplify 1.0 into 1.0 3.472 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.472 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.472 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.472 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.472 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.472 * [taylor]: Taking taylor expansion of 0.5 in k 3.472 * [backup-simplify]: Simplify 0.5 into 0.5 3.472 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.472 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.472 * [taylor]: Taking taylor expansion of k in k 3.472 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify 1 into 1 3.473 * [backup-simplify]: Simplify (/ 1 1) into 1 3.473 * [taylor]: Taking taylor expansion of 1.0 in k 3.473 * [backup-simplify]: Simplify 1.0 into 1.0 3.473 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.473 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.473 * [taylor]: Taking taylor expansion of -2.0 in k 3.473 * [backup-simplify]: Simplify -2.0 into -2.0 3.473 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.473 * [taylor]: Taking taylor expansion of PI in k 3.473 * [backup-simplify]: Simplify PI into PI 3.473 * [taylor]: Taking taylor expansion of n in k 3.473 * [backup-simplify]: Simplify n into n 3.473 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.473 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 3.473 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 3.474 * [backup-simplify]: Simplify (+ 1 0) into 1 3.474 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.474 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 3.475 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 3.475 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.475 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.475 * [taylor]: Taking taylor expansion of -1 in k 3.475 * [backup-simplify]: Simplify -1 into -1 3.475 * [taylor]: Taking taylor expansion of k in k 3.475 * [backup-simplify]: Simplify 0 into 0 3.475 * [backup-simplify]: Simplify 1 into 1 3.475 * [backup-simplify]: Simplify (/ -1 1) into -1 3.476 * [backup-simplify]: Simplify (sqrt 0) into 0 3.477 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.477 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 3.477 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 3.477 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 3.478 * [taylor]: Taking taylor expansion of +nan.0 in n 3.478 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.478 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 3.478 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 3.478 * [taylor]: Taking taylor expansion of 0.5 in n 3.478 * [backup-simplify]: Simplify 0.5 into 0.5 3.478 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 3.478 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.478 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.478 * [taylor]: Taking taylor expansion of -2.0 in n 3.478 * [backup-simplify]: Simplify -2.0 into -2.0 3.478 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.478 * [taylor]: Taking taylor expansion of PI in n 3.478 * [backup-simplify]: Simplify PI into PI 3.478 * [taylor]: Taking taylor expansion of n in n 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 1 into 1 3.478 * [backup-simplify]: Simplify (/ PI 1) into PI 3.479 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.480 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.480 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.480 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.480 * [taylor]: Taking taylor expansion of k in n 3.480 * [backup-simplify]: Simplify k into k 3.480 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.480 * [taylor]: Taking taylor expansion of 1.0 in n 3.480 * [backup-simplify]: Simplify 1.0 into 1.0 3.482 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.482 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.483 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 3.484 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 3.486 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 3.487 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 3.488 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 3.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.492 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.493 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 3.494 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 3.494 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) in n 3.494 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 3.494 * [taylor]: Taking taylor expansion of +nan.0 in n 3.494 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.494 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 3.494 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 3.494 * [taylor]: Taking taylor expansion of 0.5 in n 3.494 * [backup-simplify]: Simplify 0.5 into 0.5 3.494 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 3.494 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.494 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.494 * [taylor]: Taking taylor expansion of -2.0 in n 3.494 * [backup-simplify]: Simplify -2.0 into -2.0 3.494 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.494 * [taylor]: Taking taylor expansion of PI in n 3.494 * [backup-simplify]: Simplify PI into PI 3.494 * [taylor]: Taking taylor expansion of n in n 3.494 * [backup-simplify]: Simplify 0 into 0 3.494 * [backup-simplify]: Simplify 1 into 1 3.495 * [backup-simplify]: Simplify (/ PI 1) into PI 3.495 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.496 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.496 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.496 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.497 * [taylor]: Taking taylor expansion of k in n 3.497 * [backup-simplify]: Simplify k into k 3.497 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.497 * [taylor]: Taking taylor expansion of 1.0 in n 3.497 * [backup-simplify]: Simplify 1.0 into 1.0 3.498 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.498 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.499 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 3.501 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 3.502 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 3.503 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 3.505 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 3.506 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 3.507 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.508 * [backup-simplify]: Simplify (+ 0 0) into 0 3.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.510 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 3.511 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 3.513 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 3.514 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into 0 3.516 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.518 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into 0 3.518 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.525 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 3.526 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 3.526 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) in n 3.526 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 3.527 * [taylor]: Taking taylor expansion of +nan.0 in n 3.527 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.527 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 3.527 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 3.527 * [taylor]: Taking taylor expansion of 0.5 in n 3.527 * [backup-simplify]: Simplify 0.5 into 0.5 3.527 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 3.527 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.527 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.527 * [taylor]: Taking taylor expansion of -2.0 in n 3.527 * [backup-simplify]: Simplify -2.0 into -2.0 3.527 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.527 * [taylor]: Taking taylor expansion of PI in n 3.527 * [backup-simplify]: Simplify PI into PI 3.527 * [taylor]: Taking taylor expansion of n in n 3.527 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify 1 into 1 3.528 * [backup-simplify]: Simplify (/ PI 1) into PI 3.528 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.529 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.529 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.529 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.529 * [taylor]: Taking taylor expansion of k in n 3.529 * [backup-simplify]: Simplify k into k 3.529 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.529 * [taylor]: Taking taylor expansion of 1.0 in n 3.529 * [backup-simplify]: Simplify 1.0 into 1.0 3.531 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.531 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.532 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 3.533 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 3.535 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 3.536 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 3.537 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 3.539 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 3.543 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (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)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))))))) 3.543 * * * [progress]: simplifying candidates 3.547 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 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(* (* 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))) (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) k)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow k 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log n) 2) (pow k 2))))))))))))))))))))))) (- (+ (* +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)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 3)))))))) (- (+ (* +nan.0 (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)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))))))) 3.550 * * [simplify]: Extracting # 0 : cost 152 inf + 0 3.550 * * [simplify]: Extracting # 1 : cost 214 inf + 0 3.551 * * [simplify]: Extracting # 2 : cost 229 inf + 1593 3.552 * * [simplify]: Extracting # 3 : cost 192 inf + 11694 3.554 * * [simplify]: Extracting # 4 : cost 136 inf + 30371 3.558 * * [simplify]: Extracting # 5 : cost 98 inf + 52775 3.566 * * [simplify]: Extracting # 6 : cost 88 inf + 60525 3.571 * * [simplify]: Extracting # 7 : cost 76 inf + 66117 3.577 * * [simplify]: Extracting # 8 : cost 62 inf + 73978 3.583 * * [simplify]: Extracting # 9 : cost 44 inf + 86606 3.589 * * [simplify]: Extracting # 10 : cost 35 inf + 95031 3.597 * * [simplify]: Extracting # 11 : cost 29 inf + 101953 3.605 * * [simplify]: Extracting # 12 : cost 26 inf + 107003 3.617 * * [simplify]: Extracting # 13 : cost 24 inf + 110267 3.634 * * [simplify]: Extracting # 14 : cost 25 inf + 113154 3.652 * * [simplify]: Extracting # 15 : cost 24 inf + 115161 3.669 * * [simplify]: Extracting # 16 : cost 24 inf + 118237 3.689 * * [simplify]: Extracting # 17 : cost 22 inf + 122983 3.707 * * [simplify]: Extracting # 18 : cost 21 inf + 126332 3.726 * * [simplify]: Extracting # 19 : cost 22 inf + 127449 3.744 * * [simplify]: Extracting # 20 : cost 24 inf + 127449 3.762 * * [simplify]: Extracting # 21 : cost 22 inf + 129310 3.780 * * [simplify]: Extracting # 22 : cost 18 inf + 135121 3.799 * * [simplify]: Extracting # 23 : cost 16 inf + 139437 3.819 * * [simplify]: Extracting # 24 : cost 14 inf + 144153 3.840 * * [simplify]: Extracting # 25 : cost 12 inf + 149269 3.861 * * [simplify]: Extracting # 26 : cost 10 inf + 154865 3.887 * * [simplify]: Extracting # 27 : cost 5 inf + 171405 3.915 * * [simplify]: Extracting # 28 : cost 2 inf + 182209 3.931 * * [simplify]: Extracting # 29 : cost 1 inf + 185997 3.947 * * [simplify]: Extracting # 30 : cost 0 inf + 189825 3.978 * * [simplify]: iteration 0 : 361 enodes (cost 75851 ) 4.095 * * [simplify]: Extracting # 0 : cost 0 inf + 189825 4.147 * * [simplify]: Extracting # 1 : cost 211 inf + 175747 4.189 * * [simplify]: Extracting # 2 : cost 72 inf + 253778 4.249 * * [simplify]: Extracting # 3 : cost 23 inf + 254922 4.320 * * [simplify]: Extracting # 4 : cost 0 inf + 259656 4.389 * * [simplify]: Extracting # 5 : cost 0 inf + 256533 4.458 * * [simplify]: Extracting # 6 : cost 0 inf + 255451 4.510 * * [simplify]: iteration 1 : 1013 enodes (cost 69294 ) 5.146 * * [simplify]: Extracting # 0 : cost 0 inf + 255451 5.221 * * [simplify]: Extracting # 1 : cost 1489 inf + 218733 5.370 * * [simplify]: Extracting # 2 : cost 130 inf + 772026 5.533 * * [simplify]: Extracting # 3 : cost 43 inf + 795981 5.716 * * [simplify]: Extracting # 4 : cost 0 inf + 816198 5.896 * * [simplify]: Extracting # 5 : cost 0 inf + 815633 6.097 * * [simplify]: Extracting # 6 : cost 0 inf + 815568 6.266 * * [simplify]: Extracting # 7 : cost 0 inf + 815543 6.486 * * [simplify]: iteration 2 : 4865 enodes (cost 67966 ) 7.577 * * [simplify]: Extracting # 0 : cost 0 inf + 815543 7.747 * * [simplify]: Extracting # 1 : cost 0 inf + 815013 7.930 * * [simplify]: iteration done: 5000 enodes (cost 67956 ) 7.932 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (- 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) (log (* (* 2.0 PI) n))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* n n) n) (* PI (* 2.0 (* (* 2.0 PI) (* 2.0 PI))))) (* (* (* (* 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) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (sqrt k) 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 (sqrt k))) (/ (cbrt 1.0) (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) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (fma (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (sqrt k) 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)) (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)))) (* (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)) (* (/ 1.0 (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))) (fma (* (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* (log n) (* k k))) 0.25 (- (fma (* 0.125 (exp (* (log (* (* 2.0 PI) n)) 0.5))) (* (* k k) (* (log n) (log n))) (fma (* 0.125 (* (log (* 2.0 PI)) (log (* 2.0 PI)))) (* (* k k) (exp (* (log (* (* 2.0 PI) n)) 0.5))) (exp (* (log (* (* 2.0 PI) n)) 0.5)))) (* 0.5 (* k (+ (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)) (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))))) (exp (* (- 1.0 k) (* (log (* (* 2.0 PI) n)) 0.5))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (fma (* k k) +nan.0 (fma +nan.0 k (- +nan.0)))) (+ (- (/ +nan.0 k) (/ +nan.0 (* k (* k k)))) (- (/ +nan.0 (* k k)))) (+ (- (/ +nan.0 k) +nan.0) (- (/ +nan.0 (* k k)))) (- (fma (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) k (- (fma (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* k k) (+ (- (* (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* (log n) (* k k)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (fma (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* (* (log (* 2.0 PI)) k) (* (log (* 2.0 PI)) k)) (- (- (* (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* (* (log n) (* k k)) (log (* 2.0 PI)))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) k))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (* +nan.0 (* (* (pow k 2) (* (log n) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))))) (+ (* +nan.0 (- (/ (exp (* (- 1.0 k) (* (log (* (* 2.0 PI) n)) 0.5))) k) (/ (exp (* (- 1.0 k) (* (log (* (* 2.0 PI) n)) 0.5))) (* k (* k k))))) (/ (- (* +nan.0 (exp (* (- 1.0 k) (* (log (* (* 2.0 PI) n)) 0.5))))) (* k k))) (- (- (* +nan.0 (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)) (/ (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (* k k))))) 7.944 * * * [progress]: adding candidates to table 8.908 * * [progress]: iteration 2 / 4 8.908 * * * [progress]: picking best candidate 8.984 * * * * [pick]: Picked # 8.984 * * * [progress]: localizing error 9.015 * * * [progress]: generating rewritten candidates 9.015 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 9.028 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 9.047 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 9.056 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 9.124 * * * [progress]: generating series expansions 9.124 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 9.124 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 9.124 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 9.124 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 9.124 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 9.124 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 9.124 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.124 * [taylor]: Taking taylor expansion of 0.5 in k 9.124 * [backup-simplify]: Simplify 0.5 into 0.5 9.124 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.124 * [taylor]: Taking taylor expansion of 1.0 in k 9.124 * [backup-simplify]: Simplify 1.0 into 1.0 9.124 * [taylor]: Taking taylor expansion of k in k 9.124 * [backup-simplify]: Simplify 0 into 0 9.124 * [backup-simplify]: Simplify 1 into 1 9.124 * [taylor]: Taking taylor expansion of (log n) in k 9.125 * [taylor]: Taking taylor expansion of n in k 9.125 * [backup-simplify]: Simplify n into n 9.125 * [backup-simplify]: Simplify (log n) into (log n) 9.125 * [backup-simplify]: Simplify (- 0) into 0 9.126 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.126 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.126 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 9.126 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 9.127 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 9.127 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 9.127 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 9.127 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 9.127 * [taylor]: Taking taylor expansion of 0.5 in n 9.127 * [backup-simplify]: Simplify 0.5 into 0.5 9.127 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.127 * [taylor]: Taking taylor expansion of 1.0 in n 9.127 * [backup-simplify]: Simplify 1.0 into 1.0 9.127 * [taylor]: Taking taylor expansion of k in n 9.127 * [backup-simplify]: Simplify k into k 9.127 * [taylor]: Taking taylor expansion of (log n) in n 9.127 * [taylor]: Taking taylor expansion of n in n 9.127 * [backup-simplify]: Simplify 0 into 0 9.127 * [backup-simplify]: Simplify 1 into 1 9.127 * [backup-simplify]: Simplify (log 1) into 0 9.127 * [backup-simplify]: Simplify (- k) into (- k) 9.127 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 9.128 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 9.128 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.128 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 9.128 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 9.128 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 9.128 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 9.128 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 9.129 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 9.129 * [taylor]: Taking taylor expansion of 0.5 in n 9.129 * [backup-simplify]: Simplify 0.5 into 0.5 9.129 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.129 * [taylor]: Taking taylor expansion of 1.0 in n 9.129 * [backup-simplify]: Simplify 1.0 into 1.0 9.129 * [taylor]: Taking taylor expansion of k in n 9.129 * [backup-simplify]: Simplify k into k 9.129 * [taylor]: Taking taylor expansion of (log n) in n 9.129 * [taylor]: Taking taylor expansion of n in n 9.129 * [backup-simplify]: Simplify 0 into 0 9.129 * [backup-simplify]: Simplify 1 into 1 9.129 * [backup-simplify]: Simplify (log 1) into 0 9.129 * [backup-simplify]: Simplify (- k) into (- k) 9.129 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 9.129 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 9.130 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.130 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 9.130 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 9.130 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 9.130 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 9.130 * [taylor]: Taking taylor expansion of 0.5 in k 9.130 * [backup-simplify]: Simplify 0.5 into 0.5 9.130 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 9.130 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.131 * [taylor]: Taking taylor expansion of 1.0 in k 9.131 * [backup-simplify]: Simplify 1.0 into 1.0 9.131 * [taylor]: Taking taylor expansion of k in k 9.131 * [backup-simplify]: Simplify 0 into 0 9.131 * [backup-simplify]: Simplify 1 into 1 9.131 * [taylor]: Taking taylor expansion of (log n) in k 9.131 * [taylor]: Taking taylor expansion of n in k 9.131 * [backup-simplify]: Simplify n into n 9.131 * [backup-simplify]: Simplify (log n) into (log n) 9.131 * [backup-simplify]: Simplify (- 0) into 0 9.132 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.132 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 9.132 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 9.132 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 9.132 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 9.134 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.134 * [backup-simplify]: Simplify (- 0) into 0 9.134 * [backup-simplify]: Simplify (+ 0 0) into 0 9.135 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 9.135 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.135 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 9.136 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 9.136 * [taylor]: Taking taylor expansion of 0 in k 9.136 * [backup-simplify]: Simplify 0 into 0 9.136 * [backup-simplify]: Simplify 0 into 0 9.137 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 9.138 * [backup-simplify]: Simplify (- 1) into -1 9.138 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.139 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 9.139 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 9.139 * [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))) 9.140 * [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))) 9.143 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.143 * [backup-simplify]: Simplify (- 0) into 0 9.143 * [backup-simplify]: Simplify (+ 0 0) into 0 9.144 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 9.145 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.145 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 9.147 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.147 * [taylor]: Taking taylor expansion of 0 in k 9.147 * [backup-simplify]: Simplify 0 into 0 9.147 * [backup-simplify]: Simplify 0 into 0 9.147 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 9.149 * [backup-simplify]: Simplify (- 0) into 0 9.150 * [backup-simplify]: Simplify (+ 0 0) into 0 9.151 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 9.151 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 9.153 * [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))) 9.153 * [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))) 9.154 * [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 (pow n 1.0) 0.5) (* (pow (log n) 2) (pow k 2)))) (pow n 0.5)) (* 0.5 (* (pow (pow n 1.0) 0.5) (* (log n) k)))) 9.155 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 9.155 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 9.155 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.155 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 9.155 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 9.155 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.155 * [taylor]: Taking taylor expansion of 0.5 in k 9.155 * [backup-simplify]: Simplify 0.5 into 0.5 9.155 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.155 * [taylor]: Taking taylor expansion of 1.0 in k 9.155 * [backup-simplify]: Simplify 1.0 into 1.0 9.155 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.155 * [taylor]: Taking taylor expansion of k in k 9.155 * [backup-simplify]: Simplify 0 into 0 9.155 * [backup-simplify]: Simplify 1 into 1 9.156 * [backup-simplify]: Simplify (/ 1 1) into 1 9.156 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 9.156 * [taylor]: Taking taylor expansion of (/ 1 n) in k 9.156 * [taylor]: Taking taylor expansion of n in k 9.156 * [backup-simplify]: Simplify n into n 9.156 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.156 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 9.157 * [backup-simplify]: Simplify (- 1) into -1 9.157 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.157 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.158 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 9.158 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n))))) 9.158 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 9.158 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 9.158 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 9.158 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 9.158 * [taylor]: Taking taylor expansion of 0.5 in n 9.158 * [backup-simplify]: Simplify 0.5 into 0.5 9.158 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.158 * [taylor]: Taking taylor expansion of 1.0 in n 9.158 * [backup-simplify]: Simplify 1.0 into 1.0 9.158 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.158 * [taylor]: Taking taylor expansion of k in n 9.158 * [backup-simplify]: Simplify k into k 9.158 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.158 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 9.158 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.158 * [taylor]: Taking taylor expansion of n in n 9.158 * [backup-simplify]: Simplify 0 into 0 9.158 * [backup-simplify]: Simplify 1 into 1 9.159 * [backup-simplify]: Simplify (/ 1 1) into 1 9.159 * [backup-simplify]: Simplify (log 1) into 0 9.159 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.159 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.160 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 9.160 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 9.160 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) 9.160 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 9.160 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 9.160 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 9.161 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 9.161 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 9.161 * [taylor]: Taking taylor expansion of 0.5 in n 9.161 * [backup-simplify]: Simplify 0.5 into 0.5 9.161 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.161 * [taylor]: Taking taylor expansion of 1.0 in n 9.161 * [backup-simplify]: Simplify 1.0 into 1.0 9.161 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.161 * [taylor]: Taking taylor expansion of k in n 9.161 * [backup-simplify]: Simplify k into k 9.161 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.161 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 9.161 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.161 * [taylor]: Taking taylor expansion of n in n 9.161 * [backup-simplify]: Simplify 0 into 0 9.161 * [backup-simplify]: Simplify 1 into 1 9.161 * [backup-simplify]: Simplify (/ 1 1) into 1 9.162 * [backup-simplify]: Simplify (log 1) into 0 9.162 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.162 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.162 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 9.163 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 9.163 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) 9.163 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 9.163 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) in k 9.163 * [taylor]: Taking taylor expansion of (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) in k 9.163 * [taylor]: Taking taylor expansion of -0.5 in k 9.163 * [backup-simplify]: Simplify -0.5 into -0.5 9.163 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log n)) in k 9.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.163 * [taylor]: Taking taylor expansion of 1.0 in k 9.163 * [backup-simplify]: Simplify 1.0 into 1.0 9.163 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.163 * [taylor]: Taking taylor expansion of k in k 9.163 * [backup-simplify]: Simplify 0 into 0 9.163 * [backup-simplify]: Simplify 1 into 1 9.164 * [backup-simplify]: Simplify (/ 1 1) into 1 9.164 * [taylor]: Taking taylor expansion of (log n) in k 9.164 * [taylor]: Taking taylor expansion of n in k 9.164 * [backup-simplify]: Simplify n into n 9.164 * [backup-simplify]: Simplify (log n) into (log n) 9.164 * [backup-simplify]: Simplify (- 1) into -1 9.165 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.165 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 9.165 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 9.165 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 9.165 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 9.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.168 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.168 * [backup-simplify]: Simplify (- 0) into 0 9.169 * [backup-simplify]: Simplify (+ 0 0) into 0 9.169 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 9.169 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 9.169 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 9.170 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 9.170 * [taylor]: Taking taylor expansion of 0 in k 9.170 * [backup-simplify]: Simplify 0 into 0 9.170 * [backup-simplify]: Simplify 0 into 0 9.170 * [backup-simplify]: Simplify 0 into 0 9.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.172 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.172 * [backup-simplify]: Simplify (- 0) into 0 9.173 * [backup-simplify]: Simplify (+ 0 0) into 0 9.173 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 9.174 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 9.174 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 9.175 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.175 * [taylor]: Taking taylor expansion of 0 in k 9.175 * [backup-simplify]: Simplify 0 into 0 9.175 * [backup-simplify]: Simplify 0 into 0 9.175 * [backup-simplify]: Simplify 0 into 0 9.175 * [backup-simplify]: Simplify 0 into 0 9.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.179 * [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 9.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.179 * [backup-simplify]: Simplify (- 0) into 0 9.179 * [backup-simplify]: Simplify (+ 0 0) into 0 9.180 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 9.180 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 9.181 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 9.182 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.182 * [taylor]: Taking taylor expansion of 0 in k 9.182 * [backup-simplify]: Simplify 0 into 0 9.182 * [backup-simplify]: Simplify 0 into 0 9.182 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 9.182 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 9.182 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 9.182 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.182 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 9.182 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 9.182 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.182 * [taylor]: Taking taylor expansion of 0.5 in k 9.182 * [backup-simplify]: Simplify 0.5 into 0.5 9.183 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.183 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.183 * [taylor]: Taking taylor expansion of k in k 9.183 * [backup-simplify]: Simplify 0 into 0 9.183 * [backup-simplify]: Simplify 1 into 1 9.183 * [backup-simplify]: Simplify (/ 1 1) into 1 9.183 * [taylor]: Taking taylor expansion of 1.0 in k 9.183 * [backup-simplify]: Simplify 1.0 into 1.0 9.183 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 9.183 * [taylor]: Taking taylor expansion of (/ -1 n) in k 9.183 * [taylor]: Taking taylor expansion of -1 in k 9.183 * [backup-simplify]: Simplify -1 into -1 9.183 * [taylor]: Taking taylor expansion of n in k 9.183 * [backup-simplify]: Simplify n into n 9.183 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 9.183 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 9.183 * [backup-simplify]: Simplify (+ 1 0) into 1 9.184 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.184 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 9.184 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) 9.184 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 9.184 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 9.184 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 9.184 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 9.184 * [taylor]: Taking taylor expansion of 0.5 in n 9.184 * [backup-simplify]: Simplify 0.5 into 0.5 9.184 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.184 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.184 * [taylor]: Taking taylor expansion of k in n 9.184 * [backup-simplify]: Simplify k into k 9.184 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.184 * [taylor]: Taking taylor expansion of 1.0 in n 9.184 * [backup-simplify]: Simplify 1.0 into 1.0 9.184 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 9.184 * [taylor]: Taking taylor expansion of (/ -1 n) in n 9.184 * [taylor]: Taking taylor expansion of -1 in n 9.184 * [backup-simplify]: Simplify -1 into -1 9.184 * [taylor]: Taking taylor expansion of n in n 9.184 * [backup-simplify]: Simplify 0 into 0 9.184 * [backup-simplify]: Simplify 1 into 1 9.184 * [backup-simplify]: Simplify (/ -1 1) into -1 9.185 * [backup-simplify]: Simplify (log -1) into (log -1) 9.185 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.185 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 9.185 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 9.186 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 9.186 * [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)))) 9.186 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 9.186 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 9.186 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 9.186 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 9.186 * [taylor]: Taking taylor expansion of 0.5 in n 9.186 * [backup-simplify]: Simplify 0.5 into 0.5 9.186 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.186 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.186 * [taylor]: Taking taylor expansion of k in n 9.186 * [backup-simplify]: Simplify k into k 9.186 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.186 * [taylor]: Taking taylor expansion of 1.0 in n 9.186 * [backup-simplify]: Simplify 1.0 into 1.0 9.186 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 9.186 * [taylor]: Taking taylor expansion of (/ -1 n) in n 9.186 * [taylor]: Taking taylor expansion of -1 in n 9.186 * [backup-simplify]: Simplify -1 into -1 9.186 * [taylor]: Taking taylor expansion of n in n 9.186 * [backup-simplify]: Simplify 0 into 0 9.186 * [backup-simplify]: Simplify 1 into 1 9.187 * [backup-simplify]: Simplify (/ -1 1) into -1 9.187 * [backup-simplify]: Simplify (log -1) into (log -1) 9.187 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.187 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 9.188 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 9.188 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 9.188 * [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)))) 9.188 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 9.188 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 9.188 * [taylor]: Taking taylor expansion of 0.5 in k 9.188 * [backup-simplify]: Simplify 0.5 into 0.5 9.188 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 9.188 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 9.188 * [taylor]: Taking taylor expansion of (log -1) in k 9.188 * [taylor]: Taking taylor expansion of -1 in k 9.188 * [backup-simplify]: Simplify -1 into -1 9.189 * [backup-simplify]: Simplify (log -1) into (log -1) 9.189 * [taylor]: Taking taylor expansion of (log n) in k 9.189 * [taylor]: Taking taylor expansion of n in k 9.189 * [backup-simplify]: Simplify n into n 9.189 * [backup-simplify]: Simplify (log n) into (log n) 9.189 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.189 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.189 * [taylor]: Taking taylor expansion of k in k 9.189 * [backup-simplify]: Simplify 0 into 0 9.189 * [backup-simplify]: Simplify 1 into 1 9.189 * [backup-simplify]: Simplify (/ 1 1) into 1 9.189 * [taylor]: Taking taylor expansion of 1.0 in k 9.189 * [backup-simplify]: Simplify 1.0 into 1.0 9.189 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 9.189 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 9.190 * [backup-simplify]: Simplify (+ 1 0) into 1 9.190 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 9.190 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 9.191 * [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)))) 9.191 * [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)))) 9.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 9.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.193 * [backup-simplify]: Simplify (+ 0 0) into 0 9.193 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 9.194 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 9.194 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 9.195 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 9.195 * [taylor]: Taking taylor expansion of 0 in k 9.195 * [backup-simplify]: Simplify 0 into 0 9.195 * [backup-simplify]: Simplify 0 into 0 9.195 * [backup-simplify]: Simplify 0 into 0 9.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.198 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 9.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.198 * [backup-simplify]: Simplify (+ 0 0) into 0 9.199 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 9.200 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 9.201 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 9.203 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.203 * [taylor]: Taking taylor expansion of 0 in k 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [backup-simplify]: Simplify 0 into 0 9.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.209 * [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 9.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.210 * [backup-simplify]: Simplify (+ 0 0) into 0 9.211 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 9.212 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 9.213 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 9.221 * [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 9.221 * [taylor]: Taking taylor expansion of 0 in k 9.221 * [backup-simplify]: Simplify 0 into 0 9.221 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) 9.222 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 9.223 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 9.223 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 9.223 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 9.223 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 9.223 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 9.223 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.223 * [taylor]: Taking taylor expansion of 0.5 in k 9.223 * [backup-simplify]: Simplify 0.5 into 0.5 9.223 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.223 * [taylor]: Taking taylor expansion of 1.0 in k 9.223 * [backup-simplify]: Simplify 1.0 into 1.0 9.223 * [taylor]: Taking taylor expansion of k in k 9.223 * [backup-simplify]: Simplify 0 into 0 9.223 * [backup-simplify]: Simplify 1 into 1 9.223 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.224 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.224 * [taylor]: Taking taylor expansion of 2.0 in k 9.224 * [backup-simplify]: Simplify 2.0 into 2.0 9.224 * [taylor]: Taking taylor expansion of PI in k 9.224 * [backup-simplify]: Simplify PI into PI 9.224 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.225 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.226 * [backup-simplify]: Simplify (- 0) into 0 9.226 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.227 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.229 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 9.231 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 9.231 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 9.232 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 9.232 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 9.232 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.232 * [taylor]: Taking taylor expansion of 0.5 in k 9.232 * [backup-simplify]: Simplify 0.5 into 0.5 9.232 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.232 * [taylor]: Taking taylor expansion of 1.0 in k 9.232 * [backup-simplify]: Simplify 1.0 into 1.0 9.232 * [taylor]: Taking taylor expansion of k in k 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [backup-simplify]: Simplify 1 into 1 9.232 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.232 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.232 * [taylor]: Taking taylor expansion of 2.0 in k 9.232 * [backup-simplify]: Simplify 2.0 into 2.0 9.232 * [taylor]: Taking taylor expansion of PI in k 9.232 * [backup-simplify]: Simplify PI into PI 9.233 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.234 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.234 * [backup-simplify]: Simplify (- 0) into 0 9.234 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.235 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.237 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 9.239 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 9.241 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 9.242 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.244 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.244 * [backup-simplify]: Simplify (- 1) into -1 9.245 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.246 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 9.251 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 9.264 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) 9.272 * [backup-simplify]: Simplify (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) into (* -0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log (* 2.0 PI)))) 9.273 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.277 * [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 9.277 * [backup-simplify]: Simplify (- 0) into 0 9.278 * [backup-simplify]: Simplify (+ 0 0) into 0 9.279 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 9.281 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 9.297 * [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 (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) 9.307 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) into (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) 9.326 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log (* 2.0 PI)))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (log (* 2.0 PI)) k)))) 9.327 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 9.327 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 9.327 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.327 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 9.327 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 9.327 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.327 * [taylor]: Taking taylor expansion of 0.5 in k 9.327 * [backup-simplify]: Simplify 0.5 into 0.5 9.327 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.327 * [taylor]: Taking taylor expansion of 1.0 in k 9.327 * [backup-simplify]: Simplify 1.0 into 1.0 9.327 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.327 * [taylor]: Taking taylor expansion of k in k 9.327 * [backup-simplify]: Simplify 0 into 0 9.327 * [backup-simplify]: Simplify 1 into 1 9.328 * [backup-simplify]: Simplify (/ 1 1) into 1 9.328 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.328 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.328 * [taylor]: Taking taylor expansion of 2.0 in k 9.328 * [backup-simplify]: Simplify 2.0 into 2.0 9.328 * [taylor]: Taking taylor expansion of PI in k 9.328 * [backup-simplify]: Simplify PI into PI 9.328 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.329 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.330 * [backup-simplify]: Simplify (- 1) into -1 9.330 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.331 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.333 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 9.334 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 9.334 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.334 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 9.334 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 9.334 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.334 * [taylor]: Taking taylor expansion of 0.5 in k 9.334 * [backup-simplify]: Simplify 0.5 into 0.5 9.334 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.334 * [taylor]: Taking taylor expansion of 1.0 in k 9.334 * [backup-simplify]: Simplify 1.0 into 1.0 9.334 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.334 * [taylor]: Taking taylor expansion of k in k 9.334 * [backup-simplify]: Simplify 0 into 0 9.334 * [backup-simplify]: Simplify 1 into 1 9.335 * [backup-simplify]: Simplify (/ 1 1) into 1 9.335 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.335 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.335 * [taylor]: Taking taylor expansion of 2.0 in k 9.335 * [backup-simplify]: Simplify 2.0 into 2.0 9.335 * [taylor]: Taking taylor expansion of PI in k 9.335 * [backup-simplify]: Simplify PI into PI 9.335 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.336 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.337 * [backup-simplify]: Simplify (- 1) into -1 9.337 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.338 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.340 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 9.341 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 9.342 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 9.342 * [backup-simplify]: Simplify 0 into 0 9.342 * [backup-simplify]: Simplify 0 into 0 9.342 * [backup-simplify]: Simplify 0 into 0 9.342 * [backup-simplify]: Simplify 0 into 0 9.343 * [backup-simplify]: Simplify 0 into 0 9.343 * [backup-simplify]: Simplify 0 into 0 9.344 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (* 2.0 PI))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) 9.345 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 9.345 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 9.345 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.345 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 9.345 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 9.345 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.345 * [taylor]: Taking taylor expansion of 0.5 in k 9.345 * [backup-simplify]: Simplify 0.5 into 0.5 9.345 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.345 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.345 * [taylor]: Taking taylor expansion of k in k 9.345 * [backup-simplify]: Simplify 0 into 0 9.345 * [backup-simplify]: Simplify 1 into 1 9.345 * [backup-simplify]: Simplify (/ 1 1) into 1 9.345 * [taylor]: Taking taylor expansion of 1.0 in k 9.345 * [backup-simplify]: Simplify 1.0 into 1.0 9.345 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.345 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.346 * [taylor]: Taking taylor expansion of 2.0 in k 9.346 * [backup-simplify]: Simplify 2.0 into 2.0 9.346 * [taylor]: Taking taylor expansion of PI in k 9.346 * [backup-simplify]: Simplify PI into PI 9.346 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.347 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.348 * [backup-simplify]: Simplify (+ 1 0) into 1 9.348 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.350 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 9.351 * [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)))) 9.351 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.351 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 9.351 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 9.351 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.351 * [taylor]: Taking taylor expansion of 0.5 in k 9.351 * [backup-simplify]: Simplify 0.5 into 0.5 9.351 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.352 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.352 * [taylor]: Taking taylor expansion of k in k 9.352 * [backup-simplify]: Simplify 0 into 0 9.352 * [backup-simplify]: Simplify 1 into 1 9.352 * [backup-simplify]: Simplify (/ 1 1) into 1 9.352 * [taylor]: Taking taylor expansion of 1.0 in k 9.352 * [backup-simplify]: Simplify 1.0 into 1.0 9.352 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.352 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.352 * [taylor]: Taking taylor expansion of 2.0 in k 9.352 * [backup-simplify]: Simplify 2.0 into 2.0 9.352 * [taylor]: Taking taylor expansion of PI in k 9.352 * [backup-simplify]: Simplify PI into PI 9.353 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.354 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.354 * [backup-simplify]: Simplify (+ 1 0) into 1 9.355 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.357 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 9.358 * [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)))) 9.359 * [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)))) 9.359 * [backup-simplify]: Simplify 0 into 0 9.359 * [backup-simplify]: Simplify 0 into 0 9.359 * [backup-simplify]: Simplify 0 into 0 9.359 * [backup-simplify]: Simplify 0 into 0 9.359 * [backup-simplify]: Simplify 0 into 0 9.359 * [backup-simplify]: Simplify 0 into 0 9.361 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) 9.361 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 9.361 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 9.361 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 9.361 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.361 * [taylor]: Taking taylor expansion of 1.0 in k 9.361 * [backup-simplify]: Simplify 1.0 into 1.0 9.361 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.361 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.361 * [taylor]: Taking taylor expansion of k in k 9.361 * [backup-simplify]: Simplify 0 into 0 9.361 * [backup-simplify]: Simplify 1 into 1 9.362 * [backup-simplify]: Simplify (/ 1 1) into 1 9.362 * [backup-simplify]: Simplify (sqrt 0) into 0 9.364 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.364 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.364 * [taylor]: Taking taylor expansion of 1.0 in k 9.364 * [backup-simplify]: Simplify 1.0 into 1.0 9.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.364 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.364 * [taylor]: Taking taylor expansion of k in k 9.364 * [backup-simplify]: Simplify 0 into 0 9.364 * [backup-simplify]: Simplify 1 into 1 9.364 * [backup-simplify]: Simplify (/ 1 1) into 1 9.365 * [backup-simplify]: Simplify (sqrt 0) into 0 9.366 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.366 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.366 * [backup-simplify]: Simplify 0 into 0 9.368 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 9.369 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.373 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.382 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 9.383 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.391 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.391 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.393 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 9.393 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 9.393 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 9.393 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.393 * [taylor]: Taking taylor expansion of 1.0 in k 9.393 * [backup-simplify]: Simplify 1.0 into 1.0 9.393 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.393 * [taylor]: Taking taylor expansion of k in k 9.393 * [backup-simplify]: Simplify 0 into 0 9.393 * [backup-simplify]: Simplify 1 into 1 9.394 * [backup-simplify]: Simplify (sqrt 0) into 0 9.395 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.395 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.395 * [taylor]: Taking taylor expansion of 1.0 in k 9.395 * [backup-simplify]: Simplify 1.0 into 1.0 9.395 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.395 * [taylor]: Taking taylor expansion of k in k 9.395 * [backup-simplify]: Simplify 0 into 0 9.395 * [backup-simplify]: Simplify 1 into 1 9.395 * [backup-simplify]: Simplify (sqrt 0) into 0 9.397 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.397 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.397 * [backup-simplify]: Simplify 0 into 0 9.399 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 9.399 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.403 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.405 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 9.405 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.407 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.408 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.409 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.410 * [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)))))))) 9.410 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 9.410 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 9.410 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.410 * [taylor]: Taking taylor expansion of 1.0 in k 9.410 * [backup-simplify]: Simplify 1.0 into 1.0 9.410 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.410 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.410 * [taylor]: Taking taylor expansion of -1 in k 9.410 * [backup-simplify]: Simplify -1 into -1 9.410 * [taylor]: Taking taylor expansion of k in k 9.410 * [backup-simplify]: Simplify 0 into 0 9.410 * [backup-simplify]: Simplify 1 into 1 9.410 * [backup-simplify]: Simplify (/ -1 1) into -1 9.411 * [backup-simplify]: Simplify (sqrt 0) into 0 9.412 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.412 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 9.412 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.412 * [taylor]: Taking taylor expansion of 1.0 in k 9.412 * [backup-simplify]: Simplify 1.0 into 1.0 9.412 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.412 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.412 * [taylor]: Taking taylor expansion of -1 in k 9.412 * [backup-simplify]: Simplify -1 into -1 9.412 * [taylor]: Taking taylor expansion of k in k 9.412 * [backup-simplify]: Simplify 0 into 0 9.412 * [backup-simplify]: Simplify 1 into 1 9.412 * [backup-simplify]: Simplify (/ -1 1) into -1 9.413 * [backup-simplify]: Simplify (sqrt 0) into 0 9.413 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.414 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 9.414 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.416 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.418 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.418 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.421 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.423 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.424 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.425 * [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))))) 9.425 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 9.425 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) 9.425 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (k) around 0 9.425 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 9.425 * [taylor]: Taking taylor expansion of 1.0 in k 9.425 * [backup-simplify]: Simplify 1.0 into 1.0 9.425 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 9.425 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 9.425 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 9.425 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 9.425 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.425 * [taylor]: Taking taylor expansion of 0.5 in k 9.425 * [backup-simplify]: Simplify 0.5 into 0.5 9.425 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.425 * [taylor]: Taking taylor expansion of 1.0 in k 9.425 * [backup-simplify]: Simplify 1.0 into 1.0 9.425 * [taylor]: Taking taylor expansion of k in k 9.425 * [backup-simplify]: Simplify 0 into 0 9.425 * [backup-simplify]: Simplify 1 into 1 9.425 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.426 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.426 * [taylor]: Taking taylor expansion of 2.0 in k 9.426 * [backup-simplify]: Simplify 2.0 into 2.0 9.426 * [taylor]: Taking taylor expansion of PI in k 9.426 * [backup-simplify]: Simplify PI into PI 9.426 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.427 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.427 * [backup-simplify]: Simplify (- 0) into 0 9.427 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.427 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.428 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 9.430 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 9.430 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.430 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.430 * [taylor]: Taking taylor expansion of k in k 9.430 * [backup-simplify]: Simplify 0 into 0 9.430 * [backup-simplify]: Simplify 1 into 1 9.431 * [backup-simplify]: Simplify (/ 1 1) into 1 9.431 * [backup-simplify]: Simplify (sqrt 0) into 0 9.432 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.432 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 9.432 * [taylor]: Taking taylor expansion of 1.0 in k 9.432 * [backup-simplify]: Simplify 1.0 into 1.0 9.432 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 9.432 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 9.432 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 9.432 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 9.432 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.432 * [taylor]: Taking taylor expansion of 0.5 in k 9.432 * [backup-simplify]: Simplify 0.5 into 0.5 9.432 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.432 * [taylor]: Taking taylor expansion of 1.0 in k 9.432 * [backup-simplify]: Simplify 1.0 into 1.0 9.432 * [taylor]: Taking taylor expansion of k in k 9.432 * [backup-simplify]: Simplify 0 into 0 9.432 * [backup-simplify]: Simplify 1 into 1 9.432 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.432 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.432 * [taylor]: Taking taylor expansion of 2.0 in k 9.432 * [backup-simplify]: Simplify 2.0 into 2.0 9.432 * [taylor]: Taking taylor expansion of PI in k 9.432 * [backup-simplify]: Simplify PI into PI 9.432 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.433 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.433 * [backup-simplify]: Simplify (- 0) into 0 9.434 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.434 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.435 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 9.437 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 9.437 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.437 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.437 * [taylor]: Taking taylor expansion of k in k 9.437 * [backup-simplify]: Simplify 0 into 0 9.437 * [backup-simplify]: Simplify 1 into 1 9.437 * [backup-simplify]: Simplify (/ 1 1) into 1 9.437 * [backup-simplify]: Simplify (sqrt 0) into 0 9.438 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.438 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.5) 0) into 0 9.439 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.439 * [backup-simplify]: Simplify 0 into 0 9.439 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.440 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.441 * [backup-simplify]: Simplify (- 1) into -1 9.441 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.442 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 9.444 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 9.452 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) 9.456 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) +nan.0) (* (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 9.461 * [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))) 9.465 * [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))) 9.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.467 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.468 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.470 * [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 9.470 * [backup-simplify]: Simplify (- 0) into 0 9.470 * [backup-simplify]: Simplify (+ 0 0) into 0 9.471 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 9.472 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 9.486 * [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 (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) 9.508 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) +nan.0) (* (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) 0))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 9.538 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))) (+ (* 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) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 9.556 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +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) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 9.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.562 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.563 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.569 * [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 9.570 * [backup-simplify]: Simplify (- 0) into 0 9.570 * [backup-simplify]: Simplify (+ 0 0) into 0 9.572 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 9.574 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 9.595 * [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 (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 3))) 9.644 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) +nan.0) (+ (* (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) +nan.0) (* (* -0.020833333333333332 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 3))) 0)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 9.677 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 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) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))) (+ (* 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) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) 9.715 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +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) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 9.782 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) k) (- (* +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) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow k 2))) (- (+ (* +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) k)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (log (* 2.0 PI)) k)))))))))))))) 9.782 * [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 (- 1.0 (/ 1 k)))) (sqrt k))) 9.783 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in (k) around 0 9.783 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 9.783 * [taylor]: Taking taylor expansion of 1.0 in k 9.783 * [backup-simplify]: Simplify 1.0 into 1.0 9.783 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 9.783 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.783 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 9.783 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 9.783 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.783 * [taylor]: Taking taylor expansion of 0.5 in k 9.783 * [backup-simplify]: Simplify 0.5 into 0.5 9.783 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.783 * [taylor]: Taking taylor expansion of 1.0 in k 9.783 * [backup-simplify]: Simplify 1.0 into 1.0 9.783 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.783 * [taylor]: Taking taylor expansion of k in k 9.783 * [backup-simplify]: Simplify 0 into 0 9.783 * [backup-simplify]: Simplify 1 into 1 9.783 * [backup-simplify]: Simplify (/ 1 1) into 1 9.783 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.783 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.783 * [taylor]: Taking taylor expansion of 2.0 in k 9.783 * [backup-simplify]: Simplify 2.0 into 2.0 9.783 * [taylor]: Taking taylor expansion of PI in k 9.783 * [backup-simplify]: Simplify PI into PI 9.784 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.784 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.784 * [backup-simplify]: Simplify (- 1) into -1 9.785 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.785 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.786 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 9.787 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 9.787 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.787 * [taylor]: Taking taylor expansion of k in k 9.787 * [backup-simplify]: Simplify 0 into 0 9.787 * [backup-simplify]: Simplify 1 into 1 9.787 * [backup-simplify]: Simplify (sqrt 0) into 0 9.788 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.788 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 9.788 * [taylor]: Taking taylor expansion of 1.0 in k 9.788 * [backup-simplify]: Simplify 1.0 into 1.0 9.788 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 9.788 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.788 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 9.788 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 9.788 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.788 * [taylor]: Taking taylor expansion of 0.5 in k 9.788 * [backup-simplify]: Simplify 0.5 into 0.5 9.788 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.788 * [taylor]: Taking taylor expansion of 1.0 in k 9.788 * [backup-simplify]: Simplify 1.0 into 1.0 9.788 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.788 * [taylor]: Taking taylor expansion of k in k 9.788 * [backup-simplify]: Simplify 0 into 0 9.788 * [backup-simplify]: Simplify 1 into 1 9.789 * [backup-simplify]: Simplify (/ 1 1) into 1 9.789 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.789 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.789 * [taylor]: Taking taylor expansion of 2.0 in k 9.789 * [backup-simplify]: Simplify 2.0 into 2.0 9.789 * [taylor]: Taking taylor expansion of PI in k 9.789 * [backup-simplify]: Simplify PI into PI 9.789 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.790 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.790 * [backup-simplify]: Simplify (- 1) into -1 9.790 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.790 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.792 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 9.792 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 9.792 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.792 * [taylor]: Taking taylor expansion of k in k 9.792 * [backup-simplify]: Simplify 0 into 0 9.792 * [backup-simplify]: Simplify 1 into 1 9.793 * [backup-simplify]: Simplify (sqrt 0) into 0 9.793 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.794 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 0) into 0 9.794 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.795 * [backup-simplify]: Simplify 0 into 0 9.795 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 9.796 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 9.797 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 9.799 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.800 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 9.802 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 9.803 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 9.805 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.806 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 9.809 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 9.810 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 9.813 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (* 2.0 PI))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (* 2.0 PI))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (* 2.0 PI))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (pow k 3))) (- (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (pow k 2)))))))) 9.813 * [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)))) 9.813 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 9.813 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 9.814 * [taylor]: Taking taylor expansion of 1.0 in k 9.814 * [backup-simplify]: Simplify 1.0 into 1.0 9.814 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 9.814 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.814 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 9.814 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 9.814 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.814 * [taylor]: Taking taylor expansion of 0.5 in k 9.814 * [backup-simplify]: Simplify 0.5 into 0.5 9.814 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.814 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.814 * [taylor]: Taking taylor expansion of k in k 9.814 * [backup-simplify]: Simplify 0 into 0 9.814 * [backup-simplify]: Simplify 1 into 1 9.814 * [backup-simplify]: Simplify (/ 1 1) into 1 9.814 * [taylor]: Taking taylor expansion of 1.0 in k 9.814 * [backup-simplify]: Simplify 1.0 into 1.0 9.814 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.814 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.814 * [taylor]: Taking taylor expansion of 2.0 in k 9.814 * [backup-simplify]: Simplify 2.0 into 2.0 9.814 * [taylor]: Taking taylor expansion of PI in k 9.814 * [backup-simplify]: Simplify PI into PI 9.814 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.815 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.815 * [backup-simplify]: Simplify (+ 1 0) into 1 9.816 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.817 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 9.818 * [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)))) 9.818 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.818 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.818 * [taylor]: Taking taylor expansion of -1 in k 9.818 * [backup-simplify]: Simplify -1 into -1 9.818 * [taylor]: Taking taylor expansion of k in k 9.818 * [backup-simplify]: Simplify 0 into 0 9.818 * [backup-simplify]: Simplify 1 into 1 9.818 * [backup-simplify]: Simplify (/ -1 1) into -1 9.818 * [backup-simplify]: Simplify (sqrt 0) into 0 9.819 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.820 * [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))))) 9.820 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 9.820 * [taylor]: Taking taylor expansion of 1.0 in k 9.820 * [backup-simplify]: Simplify 1.0 into 1.0 9.820 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 9.820 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.820 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 9.820 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 9.820 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.820 * [taylor]: Taking taylor expansion of 0.5 in k 9.820 * [backup-simplify]: Simplify 0.5 into 0.5 9.820 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.820 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.820 * [taylor]: Taking taylor expansion of k in k 9.820 * [backup-simplify]: Simplify 0 into 0 9.820 * [backup-simplify]: Simplify 1 into 1 9.820 * [backup-simplify]: Simplify (/ 1 1) into 1 9.820 * [taylor]: Taking taylor expansion of 1.0 in k 9.820 * [backup-simplify]: Simplify 1.0 into 1.0 9.820 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.821 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.821 * [taylor]: Taking taylor expansion of 2.0 in k 9.821 * [backup-simplify]: Simplify 2.0 into 2.0 9.821 * [taylor]: Taking taylor expansion of PI in k 9.821 * [backup-simplify]: Simplify PI into PI 9.821 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.822 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.822 * [backup-simplify]: Simplify (+ 1 0) into 1 9.822 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.823 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 9.824 * [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)))) 9.824 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.824 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.824 * [taylor]: Taking taylor expansion of -1 in k 9.824 * [backup-simplify]: Simplify -1 into -1 9.824 * [taylor]: Taking taylor expansion of k in k 9.824 * [backup-simplify]: Simplify 0 into 0 9.824 * [backup-simplify]: Simplify 1 into 1 9.824 * [backup-simplify]: Simplify (/ -1 1) into -1 9.825 * [backup-simplify]: Simplify (sqrt 0) into 0 9.825 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.826 * [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))))) 9.827 * [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))))) 9.828 * [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))))) 9.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.831 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.834 * [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)))))) 9.836 * [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)))))) 9.838 * [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)))))) 9.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.843 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.847 * [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)))))) 9.850 * [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)))))) 9.852 * [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)))))) 9.856 * [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 (* (log (* 2.0 PI)) (- 1.0 k)))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))))))))) 9.856 * * * [progress]: simplifying candidates 9.859 * [simplify]: Simplifying: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (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)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (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)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (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) (expm1 (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (- (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))) (- (+ (* 0.125 (* (pow (pow n 1.0) 0.5) (* (pow (log n) 2) (pow k 2)))) (pow n 0.5)) (* 0.5 (* (pow (pow n 1.0) 0.5) (* (log n) k)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) (- (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (log (* 2.0 PI)) k)))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow k 2))) (- (+ (* +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) k)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (log (* 2.0 PI)) k)))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (pow k 3))) (- (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))))))))) 9.862 * * [simplify]: Extracting # 0 : cost 166 inf + 0 9.863 * * [simplify]: Extracting # 1 : cost 228 inf + 0 9.863 * * [simplify]: Extracting # 2 : cost 244 inf + 1648 9.864 * * [simplify]: Extracting # 3 : cost 192 inf + 15832 9.867 * * [simplify]: Extracting # 4 : cost 111 inf + 46287 9.871 * * [simplify]: Extracting # 5 : cost 92 inf + 58755 9.876 * * [simplify]: Extracting # 6 : cost 66 inf + 69226 9.886 * * [simplify]: Extracting # 7 : cost 49 inf + 78614 9.892 * * [simplify]: Extracting # 8 : cost 40 inf + 85396 9.898 * * [simplify]: Extracting # 9 : cost 29 inf + 94286 9.905 * * [simplify]: Extracting # 10 : cost 21 inf + 103626 9.911 * * [simplify]: Extracting # 11 : cost 17 inf + 108555 9.918 * * [simplify]: Extracting # 12 : cost 18 inf + 109049 9.925 * * [simplify]: Extracting # 13 : cost 13 inf + 113044 9.932 * * [simplify]: Extracting # 14 : cost 10 inf + 116013 9.939 * * [simplify]: Extracting # 15 : cost 9 inf + 117330 9.946 * * [simplify]: Extracting # 16 : cost 7 inf + 120414 9.954 * * [simplify]: Extracting # 17 : cost 5 inf + 124028 9.966 * * [simplify]: Extracting # 18 : cost 3 inf + 127922 9.982 * * [simplify]: Extracting # 19 : cost 2 inf + 129969 9.999 * * [simplify]: Extracting # 20 : cost 0 inf + 134843 10.016 * * [simplify]: iteration 0 : 334 enodes (cost 80749 ) 10.145 * * [simplify]: Extracting # 0 : cost 0 inf + 134843 10.161 * * [simplify]: Extracting # 1 : cost 209 inf + 120766 10.183 * * [simplify]: Extracting # 2 : cost 109 inf + 167328 10.202 * * [simplify]: Extracting # 3 : cost 44 inf + 179628 10.231 * * [simplify]: Extracting # 4 : cost 0 inf + 195548 10.256 * * [simplify]: Extracting # 5 : cost 0 inf + 194242 10.278 * * [simplify]: Extracting # 6 : cost 0 inf + 193529 10.313 * * [simplify]: iteration 1 : 928 enodes (cost 73443 ) 10.848 * * [simplify]: Extracting # 0 : cost 0 inf + 193529 10.890 * * [simplify]: Extracting # 1 : cost 1088 inf + 168035 10.967 * * [simplify]: Extracting # 2 : cost 153 inf + 505758 11.068 * * [simplify]: Extracting # 3 : cost 57 inf + 534876 11.174 * * [simplify]: Extracting # 4 : cost 0 inf + 559198 11.285 * * [simplify]: Extracting # 5 : cost 0 inf + 559173 11.419 * * [simplify]: iteration 2 : 3775 enodes (cost 72315 ) 12.363 * * [simplify]: Extracting # 0 : cost 0 inf + 559173 12.477 * * [simplify]: Extracting # 1 : cost 191 inf + 546222 12.624 * * [simplify]: Extracting # 2 : cost 0 inf + 595660 12.763 * * [simplify]: Extracting # 3 : cost 0 inf + 595415 12.884 * * [simplify]: iteration done: 5000 enodes (cost 71996 ) 12.886 * [simplify]: Simplified to: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log 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 2.0)) (/ (cbrt (- 1.0 k)) (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 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)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (- 1.0 k) 2.0) (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) (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 2.0)) (/ (cbrt (- 1.0 k)) (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) (exp (* (log (* 2.0 PI)) (- 1.0 k))) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (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)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* 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 (sqrt k))) (/ (cbrt 1.0) (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) (expm1 (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (fma (/ (- 1.0 k) 2.0) (log (* 2.0 PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* 2.0 PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* 2.0 PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* 2.0 PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* 2.0 PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* 2.0 PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* 2.0 PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* 2.0 PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* 2.0 PI)) (log (/ 1.0 (sqrt k)))) (exp (* (/ 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))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (* (* 1.0 1.0) 1.0) (* k (sqrt k)))) (* (* (* (/ 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)))) (* (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)) (* (/ 1.0 (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))) (fma (* 0.125 (pow (pow n 1.0) 0.5)) (* (* k (log n)) (* k (log n))) (- (pow n 0.5) (* 0.5 (* (pow (pow n 1.0) 0.5) (* (log n) k))))) (exp (* -0.5 (* (- (log n)) (- 1.0 k)))) (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) (- (fma (* 0.125 (* (* (log (* 2.0 PI)) k) (* (log (* 2.0 PI)) k))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (exp (* 0.5 (log (* 2.0 PI))))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (log (* 2.0 PI)) k)))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (- (- (fma (* +nan.0 k) k (* +nan.0 k)) +nan.0)) (- (fma (/ 1 (* k k)) +nan.0 (fma (/ +nan.0 k) (/ 1 (* k k)) (- (/ +nan.0 k))))) (+ (- (/ +nan.0 k) +nan.0) (- (/ +nan.0 (* k k)))) (fma (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* (* (log (* 2.0 PI)) k) (* (log (* 2.0 PI)) k))) (- (fma (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (* k k) (fma (* +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)) (- (* (log (* 2.0 PI)) (* k k)) (* (log (* 2.0 PI)) k)))))) (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (fma (- (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) k)) +nan.0 (- (/ (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))) (* k (* k k))) (/ (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))) (* k k)))) (fma +nan.0 (- (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) k)) (* +nan.0 (- (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (* k k)) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))))) 12.913 * * * [progress]: adding candidates to table 14.011 * * [progress]: iteration 3 / 4 14.011 * * * [progress]: picking best candidate 14.060 * * * * [pick]: Picked # 14.060 * * * [progress]: localizing error 14.124 * * * [progress]: generating rewritten candidates 14.124 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 14.137 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 14.159 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 14.208 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 14.227 * * * [progress]: generating series expansions 14.227 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 14.228 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 14.228 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 14.228 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 14.228 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 14.228 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 14.228 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 14.228 * [taylor]: Taking taylor expansion of 0.5 in k 14.228 * [backup-simplify]: Simplify 0.5 into 0.5 14.228 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.228 * [taylor]: Taking taylor expansion of 1.0 in k 14.228 * [backup-simplify]: Simplify 1.0 into 1.0 14.228 * [taylor]: Taking taylor expansion of k in k 14.228 * [backup-simplify]: Simplify 0 into 0 14.228 * [backup-simplify]: Simplify 1 into 1 14.228 * [taylor]: Taking taylor expansion of (log n) in k 14.228 * [taylor]: Taking taylor expansion of n in k 14.228 * [backup-simplify]: Simplify n into n 14.228 * [backup-simplify]: Simplify (log n) into (log n) 14.229 * [backup-simplify]: Simplify (- 0) into 0 14.229 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.230 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 14.230 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 14.230 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 14.230 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 14.230 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 14.230 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 14.230 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 14.230 * [taylor]: Taking taylor expansion of 0.5 in n 14.230 * [backup-simplify]: Simplify 0.5 into 0.5 14.230 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 14.230 * [taylor]: Taking taylor expansion of 1.0 in n 14.230 * [backup-simplify]: Simplify 1.0 into 1.0 14.230 * [taylor]: Taking taylor expansion of k in n 14.230 * [backup-simplify]: Simplify k into k 14.230 * [taylor]: Taking taylor expansion of (log n) in n 14.230 * [taylor]: Taking taylor expansion of n in n 14.230 * [backup-simplify]: Simplify 0 into 0 14.230 * [backup-simplify]: Simplify 1 into 1 14.231 * [backup-simplify]: Simplify (log 1) into 0 14.231 * [backup-simplify]: Simplify (- k) into (- k) 14.231 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 14.231 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 14.231 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.232 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 14.232 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 14.232 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 14.232 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 14.232 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 14.232 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 14.232 * [taylor]: Taking taylor expansion of 0.5 in n 14.232 * [backup-simplify]: Simplify 0.5 into 0.5 14.232 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 14.232 * [taylor]: Taking taylor expansion of 1.0 in n 14.232 * [backup-simplify]: Simplify 1.0 into 1.0 14.232 * [taylor]: Taking taylor expansion of k in n 14.232 * [backup-simplify]: Simplify k into k 14.232 * [taylor]: Taking taylor expansion of (log n) in n 14.232 * [taylor]: Taking taylor expansion of n in n 14.232 * [backup-simplify]: Simplify 0 into 0 14.232 * [backup-simplify]: Simplify 1 into 1 14.232 * [backup-simplify]: Simplify (log 1) into 0 14.233 * [backup-simplify]: Simplify (- k) into (- k) 14.233 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 14.233 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 14.233 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.233 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 14.233 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 14.234 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 14.234 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 14.234 * [taylor]: Taking taylor expansion of 0.5 in k 14.234 * [backup-simplify]: Simplify 0.5 into 0.5 14.234 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 14.234 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.234 * [taylor]: Taking taylor expansion of 1.0 in k 14.234 * [backup-simplify]: Simplify 1.0 into 1.0 14.234 * [taylor]: Taking taylor expansion of k in k 14.234 * [backup-simplify]: Simplify 0 into 0 14.234 * [backup-simplify]: Simplify 1 into 1 14.234 * [taylor]: Taking taylor expansion of (log n) in k 14.234 * [taylor]: Taking taylor expansion of n in k 14.234 * [backup-simplify]: Simplify n into n 14.234 * [backup-simplify]: Simplify (log n) into (log n) 14.234 * [backup-simplify]: Simplify (- 0) into 0 14.235 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.235 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 14.235 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 14.235 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 14.235 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 14.237 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.237 * [backup-simplify]: Simplify (- 0) into 0 14.237 * [backup-simplify]: Simplify (+ 0 0) into 0 14.238 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 14.238 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.238 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 14.239 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.239 * [taylor]: Taking taylor expansion of 0 in k 14.239 * [backup-simplify]: Simplify 0 into 0 14.239 * [backup-simplify]: Simplify 0 into 0 14.240 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 14.241 * [backup-simplify]: Simplify (- 1) into -1 14.241 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.242 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 14.242 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 14.242 * [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))) 14.242 * [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))) 14.245 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 14.246 * [backup-simplify]: Simplify (- 0) into 0 14.246 * [backup-simplify]: Simplify (+ 0 0) into 0 14.247 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 14.248 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.248 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 14.250 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.250 * [taylor]: Taking taylor expansion of 0 in k 14.250 * [backup-simplify]: Simplify 0 into 0 14.250 * [backup-simplify]: Simplify 0 into 0 14.250 * [backup-simplify]: Simplify 0 into 0 14.252 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 14.252 * [backup-simplify]: Simplify (- 0) into 0 14.253 * [backup-simplify]: Simplify (+ 0 0) into 0 14.253 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 14.254 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 14.255 * [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))) 14.255 * [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))) 14.257 * [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 (pow n 1.0) 0.5) (* (pow (log n) 2) (pow k 2)))) (pow n 0.5)) (* 0.5 (* (pow (pow n 1.0) 0.5) (* (log n) k)))) 14.257 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 14.257 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 14.257 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 14.257 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 14.257 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 14.257 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 14.257 * [taylor]: Taking taylor expansion of 0.5 in k 14.257 * [backup-simplify]: Simplify 0.5 into 0.5 14.257 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 14.257 * [taylor]: Taking taylor expansion of 1.0 in k 14.257 * [backup-simplify]: Simplify 1.0 into 1.0 14.257 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.257 * [taylor]: Taking taylor expansion of k in k 14.257 * [backup-simplify]: Simplify 0 into 0 14.257 * [backup-simplify]: Simplify 1 into 1 14.258 * [backup-simplify]: Simplify (/ 1 1) into 1 14.258 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 14.258 * [taylor]: Taking taylor expansion of (/ 1 n) in k 14.258 * [taylor]: Taking taylor expansion of n in k 14.258 * [backup-simplify]: Simplify n into n 14.258 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.258 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 14.258 * [backup-simplify]: Simplify (- 1) into -1 14.259 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.259 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 14.259 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 14.260 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n))))) 14.260 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 14.260 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 14.260 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 14.260 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 14.260 * [taylor]: Taking taylor expansion of 0.5 in n 14.260 * [backup-simplify]: Simplify 0.5 into 0.5 14.260 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 14.260 * [taylor]: Taking taylor expansion of 1.0 in n 14.260 * [backup-simplify]: Simplify 1.0 into 1.0 14.260 * [taylor]: Taking taylor expansion of (/ 1 k) in n 14.260 * [taylor]: Taking taylor expansion of k in n 14.260 * [backup-simplify]: Simplify k into k 14.260 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 14.260 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 14.260 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.260 * [taylor]: Taking taylor expansion of n in n 14.260 * [backup-simplify]: Simplify 0 into 0 14.260 * [backup-simplify]: Simplify 1 into 1 14.261 * [backup-simplify]: Simplify (/ 1 1) into 1 14.261 * [backup-simplify]: Simplify (log 1) into 0 14.261 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 14.261 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 14.261 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 14.262 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 14.262 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) 14.262 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 14.262 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 14.262 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 14.262 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 14.262 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 14.262 * [taylor]: Taking taylor expansion of 0.5 in n 14.262 * [backup-simplify]: Simplify 0.5 into 0.5 14.262 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 14.262 * [taylor]: Taking taylor expansion of 1.0 in n 14.262 * [backup-simplify]: Simplify 1.0 into 1.0 14.262 * [taylor]: Taking taylor expansion of (/ 1 k) in n 14.262 * [taylor]: Taking taylor expansion of k in n 14.262 * [backup-simplify]: Simplify k into k 14.262 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 14.262 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 14.262 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.262 * [taylor]: Taking taylor expansion of n in n 14.262 * [backup-simplify]: Simplify 0 into 0 14.263 * [backup-simplify]: Simplify 1 into 1 14.263 * [backup-simplify]: Simplify (/ 1 1) into 1 14.263 * [backup-simplify]: Simplify (log 1) into 0 14.263 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 14.263 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 14.264 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 14.264 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 14.264 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) 14.264 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 14.264 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) in k 14.265 * [taylor]: Taking taylor expansion of (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) in k 14.265 * [taylor]: Taking taylor expansion of -0.5 in k 14.265 * [backup-simplify]: Simplify -0.5 into -0.5 14.265 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log n)) in k 14.265 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 14.265 * [taylor]: Taking taylor expansion of 1.0 in k 14.265 * [backup-simplify]: Simplify 1.0 into 1.0 14.265 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.265 * [taylor]: Taking taylor expansion of k in k 14.265 * [backup-simplify]: Simplify 0 into 0 14.265 * [backup-simplify]: Simplify 1 into 1 14.265 * [backup-simplify]: Simplify (/ 1 1) into 1 14.265 * [taylor]: Taking taylor expansion of (log n) in k 14.265 * [taylor]: Taking taylor expansion of n in k 14.265 * [backup-simplify]: Simplify n into n 14.265 * [backup-simplify]: Simplify (log n) into (log n) 14.266 * [backup-simplify]: Simplify (- 1) into -1 14.266 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.266 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 14.266 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 14.266 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 14.267 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 14.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.269 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 14.269 * [backup-simplify]: Simplify (- 0) into 0 14.270 * [backup-simplify]: Simplify (+ 0 0) into 0 14.270 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 14.271 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 14.271 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 14.272 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.272 * [taylor]: Taking taylor expansion of 0 in k 14.272 * [backup-simplify]: Simplify 0 into 0 14.272 * [backup-simplify]: Simplify 0 into 0 14.272 * [backup-simplify]: Simplify 0 into 0 14.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.276 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 14.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 14.277 * [backup-simplify]: Simplify (- 0) into 0 14.277 * [backup-simplify]: Simplify (+ 0 0) into 0 14.278 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 14.279 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 14.279 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 14.281 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.281 * [taylor]: Taking taylor expansion of 0 in k 14.281 * [backup-simplify]: Simplify 0 into 0 14.281 * [backup-simplify]: Simplify 0 into 0 14.281 * [backup-simplify]: Simplify 0 into 0 14.281 * [backup-simplify]: Simplify 0 into 0 14.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.292 * [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 14.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 14.293 * [backup-simplify]: Simplify (- 0) into 0 14.294 * [backup-simplify]: Simplify (+ 0 0) into 0 14.295 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 14.295 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 14.296 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 14.298 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.298 * [taylor]: Taking taylor expansion of 0 in k 14.298 * [backup-simplify]: Simplify 0 into 0 14.298 * [backup-simplify]: Simplify 0 into 0 14.299 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 14.299 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 14.299 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 14.299 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 14.299 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 14.299 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 14.299 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 14.299 * [taylor]: Taking taylor expansion of 0.5 in k 14.300 * [backup-simplify]: Simplify 0.5 into 0.5 14.300 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 14.300 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.300 * [taylor]: Taking taylor expansion of k in k 14.300 * [backup-simplify]: Simplify 0 into 0 14.300 * [backup-simplify]: Simplify 1 into 1 14.300 * [backup-simplify]: Simplify (/ 1 1) into 1 14.300 * [taylor]: Taking taylor expansion of 1.0 in k 14.300 * [backup-simplify]: Simplify 1.0 into 1.0 14.300 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 14.300 * [taylor]: Taking taylor expansion of (/ -1 n) in k 14.300 * [taylor]: Taking taylor expansion of -1 in k 14.300 * [backup-simplify]: Simplify -1 into -1 14.300 * [taylor]: Taking taylor expansion of n in k 14.300 * [backup-simplify]: Simplify n into n 14.300 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 14.301 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 14.301 * [backup-simplify]: Simplify (+ 1 0) into 1 14.302 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 14.302 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 14.302 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) 14.302 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 14.302 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 14.302 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 14.302 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 14.302 * [taylor]: Taking taylor expansion of 0.5 in n 14.302 * [backup-simplify]: Simplify 0.5 into 0.5 14.302 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 14.302 * [taylor]: Taking taylor expansion of (/ 1 k) in n 14.302 * [taylor]: Taking taylor expansion of k in n 14.302 * [backup-simplify]: Simplify k into k 14.302 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 14.302 * [taylor]: Taking taylor expansion of 1.0 in n 14.302 * [backup-simplify]: Simplify 1.0 into 1.0 14.302 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 14.302 * [taylor]: Taking taylor expansion of (/ -1 n) in n 14.302 * [taylor]: Taking taylor expansion of -1 in n 14.302 * [backup-simplify]: Simplify -1 into -1 14.302 * [taylor]: Taking taylor expansion of n in n 14.303 * [backup-simplify]: Simplify 0 into 0 14.303 * [backup-simplify]: Simplify 1 into 1 14.303 * [backup-simplify]: Simplify (/ -1 1) into -1 14.303 * [backup-simplify]: Simplify (log -1) into (log -1) 14.304 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 14.304 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 14.304 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 14.305 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 14.306 * [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)))) 14.306 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 14.306 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 14.306 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 14.306 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 14.306 * [taylor]: Taking taylor expansion of 0.5 in n 14.306 * [backup-simplify]: Simplify 0.5 into 0.5 14.306 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 14.306 * [taylor]: Taking taylor expansion of (/ 1 k) in n 14.306 * [taylor]: Taking taylor expansion of k in n 14.306 * [backup-simplify]: Simplify k into k 14.306 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 14.306 * [taylor]: Taking taylor expansion of 1.0 in n 14.306 * [backup-simplify]: Simplify 1.0 into 1.0 14.306 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 14.306 * [taylor]: Taking taylor expansion of (/ -1 n) in n 14.306 * [taylor]: Taking taylor expansion of -1 in n 14.306 * [backup-simplify]: Simplify -1 into -1 14.306 * [taylor]: Taking taylor expansion of n in n 14.306 * [backup-simplify]: Simplify 0 into 0 14.306 * [backup-simplify]: Simplify 1 into 1 14.307 * [backup-simplify]: Simplify (/ -1 1) into -1 14.307 * [backup-simplify]: Simplify (log -1) into (log -1) 14.307 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 14.307 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 14.309 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 14.309 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 14.310 * [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)))) 14.310 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 14.310 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 14.310 * [taylor]: Taking taylor expansion of 0.5 in k 14.310 * [backup-simplify]: Simplify 0.5 into 0.5 14.310 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 14.310 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 14.310 * [taylor]: Taking taylor expansion of (log -1) in k 14.310 * [taylor]: Taking taylor expansion of -1 in k 14.310 * [backup-simplify]: Simplify -1 into -1 14.311 * [backup-simplify]: Simplify (log -1) into (log -1) 14.311 * [taylor]: Taking taylor expansion of (log n) in k 14.311 * [taylor]: Taking taylor expansion of n in k 14.311 * [backup-simplify]: Simplify n into n 14.311 * [backup-simplify]: Simplify (log n) into (log n) 14.311 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 14.311 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.311 * [taylor]: Taking taylor expansion of k in k 14.311 * [backup-simplify]: Simplify 0 into 0 14.311 * [backup-simplify]: Simplify 1 into 1 14.311 * [backup-simplify]: Simplify (/ 1 1) into 1 14.311 * [taylor]: Taking taylor expansion of 1.0 in k 14.311 * [backup-simplify]: Simplify 1.0 into 1.0 14.311 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 14.312 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 14.312 * [backup-simplify]: Simplify (+ 1 0) into 1 14.313 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 14.313 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 14.314 * [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)))) 14.315 * [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)))) 14.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.317 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 14.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 14.318 * [backup-simplify]: Simplify (+ 0 0) into 0 14.318 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 14.319 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 14.320 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 14.321 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.321 * [taylor]: Taking taylor expansion of 0 in k 14.321 * [backup-simplify]: Simplify 0 into 0 14.321 * [backup-simplify]: Simplify 0 into 0 14.321 * [backup-simplify]: Simplify 0 into 0 14.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.326 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 14.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 14.326 * [backup-simplify]: Simplify (+ 0 0) into 0 14.327 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 14.328 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 14.329 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 14.332 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.332 * [taylor]: Taking taylor expansion of 0 in k 14.332 * [backup-simplify]: Simplify 0 into 0 14.332 * [backup-simplify]: Simplify 0 into 0 14.332 * [backup-simplify]: Simplify 0 into 0 14.332 * [backup-simplify]: Simplify 0 into 0 14.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.338 * [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 14.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 14.338 * [backup-simplify]: Simplify (+ 0 0) into 0 14.339 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 14.339 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 14.340 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 14.341 * [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 14.341 * [taylor]: Taking taylor expansion of 0 in k 14.341 * [backup-simplify]: Simplify 0 into 0 14.341 * [backup-simplify]: Simplify 0 into 0 14.342 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) 14.342 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 14.342 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 14.342 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 14.342 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 14.342 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 14.342 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 14.342 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 14.342 * [taylor]: Taking taylor expansion of 0.5 in k 14.342 * [backup-simplify]: Simplify 0.5 into 0.5 14.342 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.342 * [taylor]: Taking taylor expansion of 1.0 in k 14.342 * [backup-simplify]: Simplify 1.0 into 1.0 14.342 * [taylor]: Taking taylor expansion of k in k 14.342 * [backup-simplify]: Simplify 0 into 0 14.342 * [backup-simplify]: Simplify 1 into 1 14.342 * [taylor]: Taking taylor expansion of (log PI) in k 14.342 * [taylor]: Taking taylor expansion of PI in k 14.342 * [backup-simplify]: Simplify PI into PI 14.343 * [backup-simplify]: Simplify (log PI) into (log PI) 14.343 * [backup-simplify]: Simplify (- 0) into 0 14.343 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.343 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 14.344 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 14.345 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 14.345 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 14.345 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 14.345 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 14.345 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 14.345 * [taylor]: Taking taylor expansion of 0.5 in k 14.345 * [backup-simplify]: Simplify 0.5 into 0.5 14.345 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.345 * [taylor]: Taking taylor expansion of 1.0 in k 14.345 * [backup-simplify]: Simplify 1.0 into 1.0 14.345 * [taylor]: Taking taylor expansion of k in k 14.345 * [backup-simplify]: Simplify 0 into 0 14.345 * [backup-simplify]: Simplify 1 into 1 14.345 * [taylor]: Taking taylor expansion of (log PI) in k 14.345 * [taylor]: Taking taylor expansion of PI in k 14.345 * [backup-simplify]: Simplify PI into PI 14.346 * [backup-simplify]: Simplify (log PI) into (log PI) 14.346 * [backup-simplify]: Simplify (- 0) into 0 14.346 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.346 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 14.347 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 14.348 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 14.349 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 14.350 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 14.350 * [backup-simplify]: Simplify (- 1) into -1 14.350 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.351 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 14.353 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 14.359 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5))) 14.361 * [backup-simplify]: Simplify (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5))) into (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5))) 14.362 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 14.363 * [backup-simplify]: Simplify (- 0) into 0 14.363 * [backup-simplify]: Simplify (+ 0 0) into 0 14.364 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 14.364 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 14.377 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5))) 14.382 * [backup-simplify]: Simplify (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5))) into (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5))) 14.392 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5))) (pow k 2)) (+ (* (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5))) k) (pow PI 0.5))) into (- (+ (pow PI 0.5) (* 0.125 (* (* (pow (log PI) 2) (pow k 2)) (pow (pow PI 1.0) 0.5)))) (* 0.5 (* (* (log PI) k) (pow (pow PI 1.0) 0.5)))) 14.392 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 14.392 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 14.392 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 14.392 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 14.392 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 14.392 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 14.392 * [taylor]: Taking taylor expansion of 0.5 in k 14.392 * [backup-simplify]: Simplify 0.5 into 0.5 14.392 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 14.392 * [taylor]: Taking taylor expansion of 1.0 in k 14.392 * [backup-simplify]: Simplify 1.0 into 1.0 14.392 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.392 * [taylor]: Taking taylor expansion of k in k 14.392 * [backup-simplify]: Simplify 0 into 0 14.392 * [backup-simplify]: Simplify 1 into 1 14.393 * [backup-simplify]: Simplify (/ 1 1) into 1 14.393 * [taylor]: Taking taylor expansion of (log PI) in k 14.393 * [taylor]: Taking taylor expansion of PI in k 14.393 * [backup-simplify]: Simplify PI into PI 14.393 * [backup-simplify]: Simplify (log PI) into (log PI) 14.394 * [backup-simplify]: Simplify (- 1) into -1 14.394 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.395 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 14.396 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 14.396 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 14.396 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 14.396 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 14.396 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 14.396 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 14.396 * [taylor]: Taking taylor expansion of 0.5 in k 14.397 * [backup-simplify]: Simplify 0.5 into 0.5 14.397 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 14.397 * [taylor]: Taking taylor expansion of 1.0 in k 14.397 * [backup-simplify]: Simplify 1.0 into 1.0 14.397 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.397 * [taylor]: Taking taylor expansion of k in k 14.397 * [backup-simplify]: Simplify 0 into 0 14.397 * [backup-simplify]: Simplify 1 into 1 14.397 * [backup-simplify]: Simplify (/ 1 1) into 1 14.397 * [taylor]: Taking taylor expansion of (log PI) in k 14.397 * [taylor]: Taking taylor expansion of PI in k 14.397 * [backup-simplify]: Simplify PI into PI 14.398 * [backup-simplify]: Simplify (log PI) into (log PI) 14.398 * [backup-simplify]: Simplify (- 1) into -1 14.398 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.399 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 14.400 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 14.401 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 14.401 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 14.402 * [backup-simplify]: Simplify 0 into 0 14.402 * [backup-simplify]: Simplify 0 into 0 14.402 * [backup-simplify]: Simplify 0 into 0 14.402 * [backup-simplify]: Simplify 0 into 0 14.402 * [backup-simplify]: Simplify 0 into 0 14.402 * [backup-simplify]: Simplify 0 into 0 14.402 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 14.403 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 14.403 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 14.403 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 14.403 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 14.403 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 14.403 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 14.403 * [taylor]: Taking taylor expansion of 0.5 in k 14.403 * [backup-simplify]: Simplify 0.5 into 0.5 14.403 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 14.403 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.403 * [taylor]: Taking taylor expansion of k in k 14.403 * [backup-simplify]: Simplify 0 into 0 14.403 * [backup-simplify]: Simplify 1 into 1 14.404 * [backup-simplify]: Simplify (/ 1 1) into 1 14.404 * [taylor]: Taking taylor expansion of 1.0 in k 14.404 * [backup-simplify]: Simplify 1.0 into 1.0 14.404 * [taylor]: Taking taylor expansion of (log PI) in k 14.404 * [taylor]: Taking taylor expansion of PI in k 14.404 * [backup-simplify]: Simplify PI into PI 14.404 * [backup-simplify]: Simplify (log PI) into (log PI) 14.405 * [backup-simplify]: Simplify (+ 1 0) into 1 14.405 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 14.406 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 14.407 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 14.407 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 14.407 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 14.407 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 14.407 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 14.407 * [taylor]: Taking taylor expansion of 0.5 in k 14.407 * [backup-simplify]: Simplify 0.5 into 0.5 14.407 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 14.407 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.407 * [taylor]: Taking taylor expansion of k in k 14.407 * [backup-simplify]: Simplify 0 into 0 14.407 * [backup-simplify]: Simplify 1 into 1 14.408 * [backup-simplify]: Simplify (/ 1 1) into 1 14.408 * [taylor]: Taking taylor expansion of 1.0 in k 14.408 * [backup-simplify]: Simplify 1.0 into 1.0 14.408 * [taylor]: Taking taylor expansion of (log PI) in k 14.408 * [taylor]: Taking taylor expansion of PI in k 14.408 * [backup-simplify]: Simplify PI into PI 14.408 * [backup-simplify]: Simplify (log PI) into (log PI) 14.409 * [backup-simplify]: Simplify (+ 1 0) into 1 14.409 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 14.410 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 14.411 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 14.412 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 14.413 * [backup-simplify]: Simplify 0 into 0 14.413 * [backup-simplify]: Simplify 0 into 0 14.413 * [backup-simplify]: Simplify 0 into 0 14.413 * [backup-simplify]: Simplify 0 into 0 14.413 * [backup-simplify]: Simplify 0 into 0 14.413 * [backup-simplify]: Simplify 0 into 0 14.413 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 14.414 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 14.414 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) into (* 1.0 (* (pow 2.0 (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) 14.414 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow 2.0 (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (k) around 0 14.414 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow 2.0 (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 14.414 * [taylor]: Taking taylor expansion of 1.0 in k 14.414 * [backup-simplify]: Simplify 1.0 into 1.0 14.414 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 14.414 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 14.414 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 14.414 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 14.414 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 14.414 * [taylor]: Taking taylor expansion of 0.5 in k 14.414 * [backup-simplify]: Simplify 0.5 into 0.5 14.414 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.414 * [taylor]: Taking taylor expansion of 1.0 in k 14.414 * [backup-simplify]: Simplify 1.0 into 1.0 14.414 * [taylor]: Taking taylor expansion of k in k 14.414 * [backup-simplify]: Simplify 0 into 0 14.414 * [backup-simplify]: Simplify 1 into 1 14.414 * [taylor]: Taking taylor expansion of (log 2.0) in k 14.414 * [taylor]: Taking taylor expansion of 2.0 in k 14.415 * [backup-simplify]: Simplify 2.0 into 2.0 14.415 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 14.415 * [backup-simplify]: Simplify (- 0) into 0 14.416 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.416 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 14.417 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 14.419 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 14.419 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 14.419 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.419 * [taylor]: Taking taylor expansion of k in k 14.419 * [backup-simplify]: Simplify 0 into 0 14.419 * [backup-simplify]: Simplify 1 into 1 14.420 * [backup-simplify]: Simplify (/ 1 1) into 1 14.420 * [backup-simplify]: Simplify (sqrt 0) into 0 14.421 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.421 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow 2.0 (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 14.421 * [taylor]: Taking taylor expansion of 1.0 in k 14.421 * [backup-simplify]: Simplify 1.0 into 1.0 14.422 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 14.422 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 14.422 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 14.422 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 14.422 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 14.422 * [taylor]: Taking taylor expansion of 0.5 in k 14.422 * [backup-simplify]: Simplify 0.5 into 0.5 14.422 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.422 * [taylor]: Taking taylor expansion of 1.0 in k 14.422 * [backup-simplify]: Simplify 1.0 into 1.0 14.422 * [taylor]: Taking taylor expansion of k in k 14.422 * [backup-simplify]: Simplify 0 into 0 14.422 * [backup-simplify]: Simplify 1 into 1 14.422 * [taylor]: Taking taylor expansion of (log 2.0) in k 14.422 * [taylor]: Taking taylor expansion of 2.0 in k 14.422 * [backup-simplify]: Simplify 2.0 into 2.0 14.422 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 14.423 * [backup-simplify]: Simplify (- 0) into 0 14.423 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.424 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 14.424 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 14.426 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 14.426 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 14.426 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.426 * [taylor]: Taking taylor expansion of k in k 14.426 * [backup-simplify]: Simplify 0 into 0 14.426 * [backup-simplify]: Simplify 1 into 1 14.426 * [backup-simplify]: Simplify (/ 1 1) into 1 14.427 * [backup-simplify]: Simplify (sqrt 0) into 0 14.428 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.436 * [backup-simplify]: Simplify (* (pow 2.0 0.5) 0) into 0 14.437 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.437 * [backup-simplify]: Simplify 0 into 0 14.438 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 14.439 * [backup-simplify]: Simplify (- 1) into -1 14.439 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.441 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 14.442 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log 2.0))) into (- (* 0.5 (log 2.0))) 14.447 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1)))) into (* -0.5 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))) 14.450 * [backup-simplify]: Simplify (+ (* (pow 2.0 0.5) +nan.0) (* (* -0.5 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))) 0)) into (- (* +nan.0 (pow (pow 2.0 1.0) 0.5))) 14.454 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (pow 2.0 1.0) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (pow 2.0 1.0) 0.5))) 14.455 * [backup-simplify]: Simplify (- (* +nan.0 (pow (pow 2.0 1.0) 0.5))) into (- (* +nan.0 (pow (pow 2.0 1.0) 0.5))) 14.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.458 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.459 * [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 14.460 * [backup-simplify]: Simplify (- 0) into 0 14.460 * [backup-simplify]: Simplify (+ 0 0) into 0 14.460 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 14.461 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log 2.0)))) into 0 14.467 * [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 (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) 14.477 * [backup-simplify]: Simplify (+ (* (pow 2.0 0.5) +nan.0) (+ (* (* -0.5 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))) +nan.0) (* (* 0.125 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) 0))) into (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))) 14.496 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))))))) (+ (* 0 (- (* +nan.0 (pow (pow 2.0 1.0) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))) 14.506 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))) into (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))) 14.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.509 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.512 * [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 14.512 * [backup-simplify]: Simplify (- 0) into 0 14.512 * [backup-simplify]: Simplify (+ 0 0) into 0 14.513 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 14.514 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 14.522 * [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 (pow 2.0 1.0) 0.5) (pow (log 2.0) 3))) 14.547 * [backup-simplify]: Simplify (+ (* (pow 2.0 0.5) +nan.0) (+ (* (* -0.5 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))) +nan.0) (+ (* (* 0.125 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) +nan.0) (* (* -0.020833333333333332 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 3))) 0)))) into (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))))) 14.567 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))))))))) (+ (* 0 (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))))))) (+ (* 0 (- (* +nan.0 (pow (pow 2.0 1.0) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))))) 14.582 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))))) into (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))))) 14.608 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))) k) (- (* +nan.0 (pow (pow 2.0 1.0) 0.5))))) into (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (pow k 2))) (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (pow k 2)) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (* k (log 2.0)) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) k)) (- (* +nan.0 (* (* (pow (log 2.0) 2) (pow k 2)) (pow (pow 2.0 1.0) 0.5)))))))))))))) 14.608 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow 2.0 (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) 14.608 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in (k) around 0 14.608 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 14.608 * [taylor]: Taking taylor expansion of 1.0 in k 14.608 * [backup-simplify]: Simplify 1.0 into 1.0 14.608 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 14.608 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 14.608 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 14.608 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 14.608 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 14.608 * [taylor]: Taking taylor expansion of 0.5 in k 14.608 * [backup-simplify]: Simplify 0.5 into 0.5 14.608 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 14.608 * [taylor]: Taking taylor expansion of 1.0 in k 14.608 * [backup-simplify]: Simplify 1.0 into 1.0 14.608 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.608 * [taylor]: Taking taylor expansion of k in k 14.608 * [backup-simplify]: Simplify 0 into 0 14.608 * [backup-simplify]: Simplify 1 into 1 14.609 * [backup-simplify]: Simplify (/ 1 1) into 1 14.609 * [taylor]: Taking taylor expansion of (log 2.0) in k 14.609 * [taylor]: Taking taylor expansion of 2.0 in k 14.609 * [backup-simplify]: Simplify 2.0 into 2.0 14.609 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 14.609 * [backup-simplify]: Simplify (- 1) into -1 14.609 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.610 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 14.610 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 14.611 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) 14.611 * [taylor]: Taking taylor expansion of (sqrt k) in k 14.611 * [taylor]: Taking taylor expansion of k in k 14.611 * [backup-simplify]: Simplify 0 into 0 14.611 * [backup-simplify]: Simplify 1 into 1 14.611 * [backup-simplify]: Simplify (sqrt 0) into 0 14.612 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.612 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 14.612 * [taylor]: Taking taylor expansion of 1.0 in k 14.612 * [backup-simplify]: Simplify 1.0 into 1.0 14.612 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 14.612 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 14.612 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 14.612 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 14.612 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 14.612 * [taylor]: Taking taylor expansion of 0.5 in k 14.612 * [backup-simplify]: Simplify 0.5 into 0.5 14.612 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 14.612 * [taylor]: Taking taylor expansion of 1.0 in k 14.612 * [backup-simplify]: Simplify 1.0 into 1.0 14.612 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.612 * [taylor]: Taking taylor expansion of k in k 14.612 * [backup-simplify]: Simplify 0 into 0 14.612 * [backup-simplify]: Simplify 1 into 1 14.612 * [backup-simplify]: Simplify (/ 1 1) into 1 14.613 * [taylor]: Taking taylor expansion of (log 2.0) in k 14.613 * [taylor]: Taking taylor expansion of 2.0 in k 14.613 * [backup-simplify]: Simplify 2.0 into 2.0 14.613 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 14.613 * [backup-simplify]: Simplify (- 1) into -1 14.613 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.614 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 14.614 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 14.614 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) 14.615 * [taylor]: Taking taylor expansion of (sqrt k) in k 14.615 * [taylor]: Taking taylor expansion of k in k 14.615 * [backup-simplify]: Simplify 0 into 0 14.615 * [backup-simplify]: Simplify 1 into 1 14.615 * [backup-simplify]: Simplify (sqrt 0) into 0 14.616 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.616 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) 0) into 0 14.616 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.616 * [backup-simplify]: Simplify 0 into 0 14.617 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 14.618 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 14.618 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 14.620 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.621 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 14.622 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 14.623 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 14.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.629 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 14.631 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 14.632 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 14.635 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log 2.0)))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log 2.0)))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log 2.0)))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (pow k 3)))))))) 14.635 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow 2.0 (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 14.636 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 14.636 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 14.636 * [taylor]: Taking taylor expansion of 1.0 in k 14.636 * [backup-simplify]: Simplify 1.0 into 1.0 14.636 * [taylor]: Taking taylor expansion of (/ (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 14.636 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 14.636 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 14.636 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 14.636 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 14.636 * [taylor]: Taking taylor expansion of 0.5 in k 14.636 * [backup-simplify]: Simplify 0.5 into 0.5 14.636 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 14.636 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.636 * [taylor]: Taking taylor expansion of k in k 14.636 * [backup-simplify]: Simplify 0 into 0 14.636 * [backup-simplify]: Simplify 1 into 1 14.637 * [backup-simplify]: Simplify (/ 1 1) into 1 14.637 * [taylor]: Taking taylor expansion of 1.0 in k 14.637 * [backup-simplify]: Simplify 1.0 into 1.0 14.637 * [taylor]: Taking taylor expansion of (log 2.0) in k 14.637 * [taylor]: Taking taylor expansion of 2.0 in k 14.637 * [backup-simplify]: Simplify 2.0 into 2.0 14.637 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 14.638 * [backup-simplify]: Simplify (+ 1 0) into 1 14.638 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 14.639 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 14.640 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 14.640 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 14.640 * [taylor]: Taking taylor expansion of (/ -1 k) in k 14.640 * [taylor]: Taking taylor expansion of -1 in k 14.640 * [backup-simplify]: Simplify -1 into -1 14.640 * [taylor]: Taking taylor expansion of k in k 14.640 * [backup-simplify]: Simplify 0 into 0 14.640 * [backup-simplify]: Simplify 1 into 1 14.640 * [backup-simplify]: Simplify (/ -1 1) into -1 14.641 * [backup-simplify]: Simplify (sqrt 0) into 0 14.642 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 14.643 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 14.643 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 14.643 * [taylor]: Taking taylor expansion of 1.0 in k 14.643 * [backup-simplify]: Simplify 1.0 into 1.0 14.643 * [taylor]: Taking taylor expansion of (/ (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 14.643 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 14.643 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 14.643 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 14.643 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 14.643 * [taylor]: Taking taylor expansion of 0.5 in k 14.643 * [backup-simplify]: Simplify 0.5 into 0.5 14.643 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 14.643 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.643 * [taylor]: Taking taylor expansion of k in k 14.643 * [backup-simplify]: Simplify 0 into 0 14.643 * [backup-simplify]: Simplify 1 into 1 14.644 * [backup-simplify]: Simplify (/ 1 1) into 1 14.644 * [taylor]: Taking taylor expansion of 1.0 in k 14.644 * [backup-simplify]: Simplify 1.0 into 1.0 14.644 * [taylor]: Taking taylor expansion of (log 2.0) in k 14.644 * [taylor]: Taking taylor expansion of 2.0 in k 14.644 * [backup-simplify]: Simplify 2.0 into 2.0 14.644 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 14.645 * [backup-simplify]: Simplify (+ 1 0) into 1 14.645 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 14.653 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 14.654 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 14.654 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 14.654 * [taylor]: Taking taylor expansion of (/ -1 k) in k 14.654 * [taylor]: Taking taylor expansion of -1 in k 14.654 * [backup-simplify]: Simplify -1 into -1 14.654 * [taylor]: Taking taylor expansion of k in k 14.654 * [backup-simplify]: Simplify 0 into 0 14.654 * [backup-simplify]: Simplify 1 into 1 14.654 * [backup-simplify]: Simplify (/ -1 1) into -1 14.655 * [backup-simplify]: Simplify (sqrt 0) into 0 14.656 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 14.657 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 14.657 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 14.657 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 14.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.660 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.661 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 14.661 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 14.662 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 14.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.666 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 14.667 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 14.667 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 14.669 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (/ 1 (- k))) (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log 2.0)))))))))) 14.669 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 14.669 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 14.669 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 14.669 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 14.669 * [taylor]: Taking taylor expansion of 1.0 in k 14.669 * [backup-simplify]: Simplify 1.0 into 1.0 14.669 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 14.669 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.669 * [taylor]: Taking taylor expansion of k in k 14.669 * [backup-simplify]: Simplify 0 into 0 14.669 * [backup-simplify]: Simplify 1 into 1 14.669 * [backup-simplify]: Simplify (/ 1 1) into 1 14.670 * [backup-simplify]: Simplify (sqrt 0) into 0 14.670 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.670 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 14.670 * [taylor]: Taking taylor expansion of 1.0 in k 14.670 * [backup-simplify]: Simplify 1.0 into 1.0 14.670 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 14.670 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.670 * [taylor]: Taking taylor expansion of k in k 14.670 * [backup-simplify]: Simplify 0 into 0 14.670 * [backup-simplify]: Simplify 1 into 1 14.671 * [backup-simplify]: Simplify (/ 1 1) into 1 14.671 * [backup-simplify]: Simplify (sqrt 0) into 0 14.672 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.672 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.672 * [backup-simplify]: Simplify 0 into 0 14.673 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 14.673 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.675 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.677 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 14.677 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.680 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.681 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 14.681 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.682 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 14.682 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 14.682 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 14.682 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 14.682 * [taylor]: Taking taylor expansion of 1.0 in k 14.682 * [backup-simplify]: Simplify 1.0 into 1.0 14.682 * [taylor]: Taking taylor expansion of (sqrt k) in k 14.682 * [taylor]: Taking taylor expansion of k in k 14.682 * [backup-simplify]: Simplify 0 into 0 14.682 * [backup-simplify]: Simplify 1 into 1 14.682 * [backup-simplify]: Simplify (sqrt 0) into 0 14.683 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.683 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 14.683 * [taylor]: Taking taylor expansion of 1.0 in k 14.683 * [backup-simplify]: Simplify 1.0 into 1.0 14.683 * [taylor]: Taking taylor expansion of (sqrt k) in k 14.683 * [taylor]: Taking taylor expansion of k in k 14.683 * [backup-simplify]: Simplify 0 into 0 14.683 * [backup-simplify]: Simplify 1 into 1 14.684 * [backup-simplify]: Simplify (sqrt 0) into 0 14.684 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.685 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.685 * [backup-simplify]: Simplify 0 into 0 14.686 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 14.687 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.690 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.692 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 14.693 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.697 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.699 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 14.700 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.701 * [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)))))))) 14.702 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 14.702 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 14.702 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 14.702 * [taylor]: Taking taylor expansion of 1.0 in k 14.702 * [backup-simplify]: Simplify 1.0 into 1.0 14.702 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 14.702 * [taylor]: Taking taylor expansion of (/ -1 k) in k 14.702 * [taylor]: Taking taylor expansion of -1 in k 14.702 * [backup-simplify]: Simplify -1 into -1 14.702 * [taylor]: Taking taylor expansion of k in k 14.702 * [backup-simplify]: Simplify 0 into 0 14.702 * [backup-simplify]: Simplify 1 into 1 14.702 * [backup-simplify]: Simplify (/ -1 1) into -1 14.703 * [backup-simplify]: Simplify (sqrt 0) into 0 14.704 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 14.705 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 14.705 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 14.705 * [taylor]: Taking taylor expansion of 1.0 in k 14.705 * [backup-simplify]: Simplify 1.0 into 1.0 14.705 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 14.705 * [taylor]: Taking taylor expansion of (/ -1 k) in k 14.705 * [taylor]: Taking taylor expansion of -1 in k 14.705 * [backup-simplify]: Simplify -1 into -1 14.705 * [taylor]: Taking taylor expansion of k in k 14.705 * [backup-simplify]: Simplify 0 into 0 14.705 * [backup-simplify]: Simplify 1 into 1 14.705 * [backup-simplify]: Simplify (/ -1 1) into -1 14.706 * [backup-simplify]: Simplify (sqrt 0) into 0 14.707 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 14.708 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 14.708 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.712 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.714 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 14.715 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.720 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.724 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 14.724 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.726 * [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))))) 14.726 * * * [progress]: simplifying candidates 14.731 * [simplify]: Simplifying: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (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)) (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (* (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)) (expm1 (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (log 2.0) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log 2.0) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow 2.0 (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (log 2.0) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log 2.0) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow 2.0 (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 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))))) (cbrt (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (* 1.0 (pow 2.0 (/ 1.0 2.0))) (* (sqrt k) (pow 2.0 (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (sqrt 2.0) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (sqrt 2.0) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (sqrt 2.0) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (sqrt 2.0) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (sqrt 2.0) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (sqrt 2.0) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (sqrt 2.0) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow 1 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow 2.0 (/ (- 1.0 k) 2.0))) (cbrt (pow 2.0 (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ 1.0 2.0))) (* 1.0 (pow 2.0 (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (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 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(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 (pow n 1.0) 0.5) (* (pow (log n) 2) (pow k 2)))) (pow n 0.5)) (* 0.5 (* (pow (pow n 1.0) 0.5) (* (log n) k)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) (- (+ (pow PI 0.5) (* 0.125 (* (* (pow (log PI) 2) (pow k 2)) (pow (pow PI 1.0) 0.5)))) (* 0.5 (* (* (log PI) k) (pow (pow PI 1.0) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (pow k 2))) (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (pow k 2)) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (* k (log 2.0)) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) k)) (- (* +nan.0 (* (* (pow (log 2.0) 2) (pow k 2)) (pow (pow 2.0 1.0) 0.5)))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (pow k 3)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log 2.0)))))))))) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (- (+ (* +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))))) 14.737 * * [simplify]: Extracting # 0 : cost 169 inf + 0 14.738 * * [simplify]: Extracting # 1 : cost 241 inf + 0 14.739 * * [simplify]: Extracting # 2 : cost 264 inf + 1148 14.741 * * [simplify]: Extracting # 3 : cost 226 inf + 9836 14.743 * * [simplify]: Extracting # 4 : cost 129 inf + 41258 14.747 * * [simplify]: Extracting # 5 : cost 82 inf + 64620 14.752 * * [simplify]: Extracting # 6 : cost 68 inf + 70713 14.756 * * [simplify]: Extracting # 7 : cost 50 inf + 78525 14.766 * * [simplify]: Extracting # 8 : cost 45 inf + 84269 14.771 * * [simplify]: Extracting # 9 : cost 32 inf + 92744 14.781 * * [simplify]: Extracting # 10 : cost 27 inf + 96943 14.793 * * [simplify]: Extracting # 11 : cost 22 inf + 100725 14.807 * * [simplify]: Extracting # 12 : cost 17 inf + 104595 14.820 * * [simplify]: Extracting # 13 : cost 14 inf + 108179 14.834 * * [simplify]: Extracting # 14 : cost 15 inf + 108179 14.847 * * [simplify]: Extracting # 15 : cost 14 inf + 108461 14.861 * * [simplify]: Extracting # 16 : cost 11 inf + 111025 14.871 * * [simplify]: Extracting # 17 : cost 10 inf + 112101 14.878 * * [simplify]: Extracting # 18 : cost 8 inf + 114533 14.885 * * [simplify]: Extracting # 19 : cost 5 inf + 118961 14.893 * * [simplify]: Extracting # 20 : cost 4 inf + 120597 14.907 * * [simplify]: Extracting # 21 : cost 2 inf + 124069 14.917 * * [simplify]: Extracting # 22 : cost 1 inf + 125945 14.925 * * [simplify]: Extracting # 23 : cost 0 inf + 127861 14.933 * * [simplify]: iteration 0 : 353 enodes (cost 80084 ) 15.063 * * [simplify]: Extracting # 0 : cost 0 inf + 127861 15.085 * * [simplify]: Extracting # 1 : cost 221 inf + 116047 15.115 * * [simplify]: Extracting # 2 : cost 111 inf + 157451 15.154 * * [simplify]: Extracting # 3 : cost 55 inf + 168230 15.190 * * [simplify]: Extracting # 4 : cost 0 inf + 187156 15.214 * * [simplify]: Extracting # 5 : cost 0 inf + 185409 15.234 * * [simplify]: Extracting # 6 : cost 0 inf + 184896 15.271 * * [simplify]: iteration 1 : 973 enodes (cost 72499 ) 15.888 * * [simplify]: Extracting # 0 : cost 0 inf + 184896 15.948 * * [simplify]: Extracting # 1 : cost 1221 inf + 171224 16.031 * * [simplify]: Extracting # 2 : cost 218 inf + 476952 16.099 * * [simplify]: Extracting # 3 : cost 75 inf + 524388 16.190 * * [simplify]: Extracting # 4 : cost 0 inf + 555471 16.274 * * [simplify]: Extracting # 5 : cost 0 inf + 555391 16.397 * * [simplify]: iteration 2 : 4088 enodes (cost 71801 ) 17.268 * * [simplify]: Extracting # 0 : cost 0 inf + 555391 17.407 * * [simplify]: Extracting # 1 : cost 97 inf + 547628 17.531 * * [simplify]: Extracting # 2 : cost 0 inf + 570001 17.659 * * [simplify]: Extracting # 3 : cost 0 inf + 569926 17.794 * * [simplify]: iteration done: 5000 enodes (cost 71562 ) 17.797 * [simplify]: Simplified to: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log 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 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) 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(* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ 1.0 2.0))) (* 1.0 (pow 2.0 (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* 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 (sqrt k))) (/ (cbrt 1.0) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (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) (fma (* 0.125 (pow (pow n 1.0) 0.5)) (* (* (log n) k) (* (log n) k)) (- (pow n 0.5) (* 0.5 (* (pow (pow n 1.0) 0.5) (* (log n) k))))) (exp (* (* -0.5 (- 1.0 k)) (- (log n)))) (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) (fma (pow (pow PI 1.0) 0.5) (- (* 0.125 (* (* k (log PI)) (* k (log PI)))) (* 0.5 (* (log PI) k))) (pow PI 0.5)) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (fma (- (* +nan.0 (pow (pow 2.0 1.0) 0.5))) (* k k) (- (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (fma (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (* (* k k) (log 2.0)) (* +nan.0 (- (* (pow (pow 2.0 1.0) 0.5) k) (* (* (* (log 2.0) k) (* (log 2.0) k)) (pow (pow 2.0 1.0) 0.5))))) (* +nan.0 (* (* k (log 2.0)) (pow (pow 2.0 1.0) 0.5)))))) (fma +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (* k k))) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) k) (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (* k (* k k)))))) (fma (- (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (* k k))) +nan.0 (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) k) (exp (* 0.5 (* (- 1.0 k) (log 2.0))))))) (- (- (fma k (* k +nan.0) (* k +nan.0)) +nan.0)) (- (fma +nan.0 (/ 1 (* k k)) (fma (/ +nan.0 k) (/ 1 (* k k)) (- (/ +nan.0 k))))) (+ (- (/ +nan.0 k) +nan.0) (- (/ +nan.0 (* k k)))) 17.812 * * * [progress]: adding candidates to table 18.953 * * [progress]: iteration 4 / 4 18.953 * * * [progress]: picking best candidate 18.992 * * * * [pick]: Picked # 18.993 * * * [progress]: localizing error 19.082 * * * [progress]: generating rewritten candidates 19.082 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 19.101 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1) 19.117 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 19.133 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 19.294 * * * [progress]: generating series expansions 19.294 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 19.294 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 19.294 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 19.294 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 19.294 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 19.294 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 19.294 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 19.295 * [taylor]: Taking taylor expansion of 0.5 in k 19.295 * [backup-simplify]: Simplify 0.5 into 0.5 19.295 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 19.295 * [taylor]: Taking taylor expansion of 1.0 in k 19.295 * [backup-simplify]: Simplify 1.0 into 1.0 19.295 * [taylor]: Taking taylor expansion of k in k 19.295 * [backup-simplify]: Simplify 0 into 0 19.295 * [backup-simplify]: Simplify 1 into 1 19.295 * [taylor]: Taking taylor expansion of (log n) in k 19.295 * [taylor]: Taking taylor expansion of n in k 19.295 * [backup-simplify]: Simplify n into n 19.295 * [backup-simplify]: Simplify (log n) into (log n) 19.296 * [backup-simplify]: Simplify (- 0) into 0 19.296 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 19.296 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 19.297 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 19.297 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 19.297 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 19.297 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 19.297 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 19.297 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 19.297 * [taylor]: Taking taylor expansion of 0.5 in n 19.297 * [backup-simplify]: Simplify 0.5 into 0.5 19.297 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 19.297 * [taylor]: Taking taylor expansion of 1.0 in n 19.297 * [backup-simplify]: Simplify 1.0 into 1.0 19.297 * [taylor]: Taking taylor expansion of k in n 19.297 * [backup-simplify]: Simplify k into k 19.297 * [taylor]: Taking taylor expansion of (log n) in n 19.297 * [taylor]: Taking taylor expansion of n in n 19.297 * [backup-simplify]: Simplify 0 into 0 19.297 * [backup-simplify]: Simplify 1 into 1 19.297 * [backup-simplify]: Simplify (log 1) into 0 19.298 * [backup-simplify]: Simplify (- k) into (- k) 19.298 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 19.298 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 19.298 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 19.298 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 19.298 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 19.298 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 19.299 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 19.299 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 19.299 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 19.299 * [taylor]: Taking taylor expansion of 0.5 in n 19.299 * [backup-simplify]: Simplify 0.5 into 0.5 19.299 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 19.299 * [taylor]: Taking taylor expansion of 1.0 in n 19.299 * [backup-simplify]: Simplify 1.0 into 1.0 19.299 * [taylor]: Taking taylor expansion of k in n 19.299 * [backup-simplify]: Simplify k into k 19.299 * [taylor]: Taking taylor expansion of (log n) in n 19.299 * [taylor]: Taking taylor expansion of n in n 19.299 * [backup-simplify]: Simplify 0 into 0 19.299 * [backup-simplify]: Simplify 1 into 1 19.299 * [backup-simplify]: Simplify (log 1) into 0 19.299 * [backup-simplify]: Simplify (- k) into (- k) 19.299 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 19.299 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 19.300 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 19.300 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 19.300 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 19.300 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 19.300 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 19.300 * [taylor]: Taking taylor expansion of 0.5 in k 19.300 * [backup-simplify]: Simplify 0.5 into 0.5 19.301 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 19.301 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 19.301 * [taylor]: Taking taylor expansion of 1.0 in k 19.301 * [backup-simplify]: Simplify 1.0 into 1.0 19.301 * [taylor]: Taking taylor expansion of k in k 19.301 * [backup-simplify]: Simplify 0 into 0 19.301 * [backup-simplify]: Simplify 1 into 1 19.301 * [taylor]: Taking taylor expansion of (log n) in k 19.301 * [taylor]: Taking taylor expansion of n in k 19.301 * [backup-simplify]: Simplify n into n 19.301 * [backup-simplify]: Simplify (log n) into (log n) 19.301 * [backup-simplify]: Simplify (- 0) into 0 19.302 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 19.302 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 19.302 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 19.302 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 19.302 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 19.304 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 19.304 * [backup-simplify]: Simplify (- 0) into 0 19.305 * [backup-simplify]: Simplify (+ 0 0) into 0 19.305 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 19.306 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 19.306 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 19.307 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 19.307 * [taylor]: Taking taylor expansion of 0 in k 19.307 * [backup-simplify]: Simplify 0 into 0 19.307 * [backup-simplify]: Simplify 0 into 0 19.308 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 19.308 * [backup-simplify]: Simplify (- 1) into -1 19.309 * [backup-simplify]: Simplify (+ 0 -1) into -1 19.309 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 19.310 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 19.310 * [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))) 19.310 * [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))) 19.313 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 19.313 * [backup-simplify]: Simplify (- 0) into 0 19.314 * [backup-simplify]: Simplify (+ 0 0) into 0 19.315 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 19.315 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 19.316 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 19.317 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 19.317 * [taylor]: Taking taylor expansion of 0 in k 19.317 * [backup-simplify]: Simplify 0 into 0 19.317 * [backup-simplify]: Simplify 0 into 0 19.317 * [backup-simplify]: Simplify 0 into 0 19.319 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 19.320 * [backup-simplify]: Simplify (- 0) into 0 19.320 * [backup-simplify]: Simplify (+ 0 0) into 0 19.321 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 19.321 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 19.323 * [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))) 19.323 * [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))) 19.324 * [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 (pow n 1.0) 0.5) (* (pow (log n) 2) (pow k 2)))) (pow n 0.5)) (* 0.5 (* (pow (pow n 1.0) 0.5) (* (log n) k)))) 19.324 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 19.325 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 19.325 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 19.325 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 19.325 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 19.325 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 19.325 * [taylor]: Taking taylor expansion of 0.5 in k 19.325 * [backup-simplify]: Simplify 0.5 into 0.5 19.325 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 19.325 * [taylor]: Taking taylor expansion of 1.0 in k 19.325 * [backup-simplify]: Simplify 1.0 into 1.0 19.325 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.325 * [taylor]: Taking taylor expansion of k in k 19.325 * [backup-simplify]: Simplify 0 into 0 19.325 * [backup-simplify]: Simplify 1 into 1 19.325 * [backup-simplify]: Simplify (/ 1 1) into 1 19.325 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 19.325 * [taylor]: Taking taylor expansion of (/ 1 n) in k 19.325 * [taylor]: Taking taylor expansion of n in k 19.325 * [backup-simplify]: Simplify n into n 19.325 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 19.326 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 19.326 * [backup-simplify]: Simplify (- 1) into -1 19.326 * [backup-simplify]: Simplify (+ 0 -1) into -1 19.327 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 19.327 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 19.327 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n))))) 19.327 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 19.327 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 19.327 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 19.327 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 19.327 * [taylor]: Taking taylor expansion of 0.5 in n 19.327 * [backup-simplify]: Simplify 0.5 into 0.5 19.327 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 19.327 * [taylor]: Taking taylor expansion of 1.0 in n 19.327 * [backup-simplify]: Simplify 1.0 into 1.0 19.327 * [taylor]: Taking taylor expansion of (/ 1 k) in n 19.327 * [taylor]: Taking taylor expansion of k in n 19.327 * [backup-simplify]: Simplify k into k 19.328 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 19.328 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 19.328 * [taylor]: Taking taylor expansion of (/ 1 n) in n 19.328 * [taylor]: Taking taylor expansion of n in n 19.328 * [backup-simplify]: Simplify 0 into 0 19.328 * [backup-simplify]: Simplify 1 into 1 19.328 * [backup-simplify]: Simplify (/ 1 1) into 1 19.328 * [backup-simplify]: Simplify (log 1) into 0 19.329 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 19.329 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 19.329 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 19.329 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 19.329 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) 19.329 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 19.329 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 19.329 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 19.329 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 19.329 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 19.329 * [taylor]: Taking taylor expansion of 0.5 in n 19.329 * [backup-simplify]: Simplify 0.5 into 0.5 19.329 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 19.329 * [taylor]: Taking taylor expansion of 1.0 in n 19.329 * [backup-simplify]: Simplify 1.0 into 1.0 19.329 * [taylor]: Taking taylor expansion of (/ 1 k) in n 19.329 * [taylor]: Taking taylor expansion of k in n 19.329 * [backup-simplify]: Simplify k into k 19.329 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 19.329 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 19.329 * [taylor]: Taking taylor expansion of (/ 1 n) in n 19.329 * [taylor]: Taking taylor expansion of n in n 19.329 * [backup-simplify]: Simplify 0 into 0 19.329 * [backup-simplify]: Simplify 1 into 1 19.330 * [backup-simplify]: Simplify (/ 1 1) into 1 19.330 * [backup-simplify]: Simplify (log 1) into 0 19.330 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 19.330 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 19.330 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 19.330 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 19.331 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) 19.331 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 19.331 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) in k 19.331 * [taylor]: Taking taylor expansion of (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) in k 19.331 * [taylor]: Taking taylor expansion of -0.5 in k 19.331 * [backup-simplify]: Simplify -0.5 into -0.5 19.331 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log n)) in k 19.331 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 19.331 * [taylor]: Taking taylor expansion of 1.0 in k 19.331 * [backup-simplify]: Simplify 1.0 into 1.0 19.331 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.331 * [taylor]: Taking taylor expansion of k in k 19.331 * [backup-simplify]: Simplify 0 into 0 19.331 * [backup-simplify]: Simplify 1 into 1 19.331 * [backup-simplify]: Simplify (/ 1 1) into 1 19.331 * [taylor]: Taking taylor expansion of (log n) in k 19.331 * [taylor]: Taking taylor expansion of n in k 19.331 * [backup-simplify]: Simplify n into n 19.331 * [backup-simplify]: Simplify (log n) into (log n) 19.331 * [backup-simplify]: Simplify (- 1) into -1 19.332 * [backup-simplify]: Simplify (+ 0 -1) into -1 19.332 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 19.332 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 19.332 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 19.332 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 19.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.333 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 19.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 19.334 * [backup-simplify]: Simplify (- 0) into 0 19.334 * [backup-simplify]: Simplify (+ 0 0) into 0 19.334 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 19.334 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 19.335 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 19.335 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 19.335 * [taylor]: Taking taylor expansion of 0 in k 19.335 * [backup-simplify]: Simplify 0 into 0 19.335 * [backup-simplify]: Simplify 0 into 0 19.335 * [backup-simplify]: Simplify 0 into 0 19.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.337 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 19.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 19.338 * [backup-simplify]: Simplify (- 0) into 0 19.338 * [backup-simplify]: Simplify (+ 0 0) into 0 19.338 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 19.339 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 19.339 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 19.340 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 19.340 * [taylor]: Taking taylor expansion of 0 in k 19.340 * [backup-simplify]: Simplify 0 into 0 19.340 * [backup-simplify]: Simplify 0 into 0 19.340 * [backup-simplify]: Simplify 0 into 0 19.340 * [backup-simplify]: Simplify 0 into 0 19.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.343 * [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 19.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 19.344 * [backup-simplify]: Simplify (- 0) into 0 19.344 * [backup-simplify]: Simplify (+ 0 0) into 0 19.345 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 19.345 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 19.346 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 19.346 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 19.347 * [taylor]: Taking taylor expansion of 0 in k 19.347 * [backup-simplify]: Simplify 0 into 0 19.347 * [backup-simplify]: Simplify 0 into 0 19.347 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 19.347 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 19.347 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 19.347 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 19.347 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 19.347 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 19.347 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 19.347 * [taylor]: Taking taylor expansion of 0.5 in k 19.347 * [backup-simplify]: Simplify 0.5 into 0.5 19.347 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 19.347 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.347 * [taylor]: Taking taylor expansion of k in k 19.347 * [backup-simplify]: Simplify 0 into 0 19.347 * [backup-simplify]: Simplify 1 into 1 19.347 * [backup-simplify]: Simplify (/ 1 1) into 1 19.347 * [taylor]: Taking taylor expansion of 1.0 in k 19.347 * [backup-simplify]: Simplify 1.0 into 1.0 19.347 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 19.347 * [taylor]: Taking taylor expansion of (/ -1 n) in k 19.347 * [taylor]: Taking taylor expansion of -1 in k 19.347 * [backup-simplify]: Simplify -1 into -1 19.347 * [taylor]: Taking taylor expansion of n in k 19.347 * [backup-simplify]: Simplify n into n 19.348 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 19.348 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 19.348 * [backup-simplify]: Simplify (+ 1 0) into 1 19.348 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 19.348 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 19.348 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) 19.348 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 19.348 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 19.348 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 19.348 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 19.348 * [taylor]: Taking taylor expansion of 0.5 in n 19.348 * [backup-simplify]: Simplify 0.5 into 0.5 19.348 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 19.348 * [taylor]: Taking taylor expansion of (/ 1 k) in n 19.348 * [taylor]: Taking taylor expansion of k in n 19.348 * [backup-simplify]: Simplify k into k 19.349 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 19.349 * [taylor]: Taking taylor expansion of 1.0 in n 19.349 * [backup-simplify]: Simplify 1.0 into 1.0 19.349 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 19.349 * [taylor]: Taking taylor expansion of (/ -1 n) in n 19.349 * [taylor]: Taking taylor expansion of -1 in n 19.349 * [backup-simplify]: Simplify -1 into -1 19.349 * [taylor]: Taking taylor expansion of n in n 19.349 * [backup-simplify]: Simplify 0 into 0 19.349 * [backup-simplify]: Simplify 1 into 1 19.349 * [backup-simplify]: Simplify (/ -1 1) into -1 19.349 * [backup-simplify]: Simplify (log -1) into (log -1) 19.349 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 19.349 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 19.350 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 19.350 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 19.351 * [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)))) 19.351 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 19.351 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 19.351 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 19.351 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 19.351 * [taylor]: Taking taylor expansion of 0.5 in n 19.351 * [backup-simplify]: Simplify 0.5 into 0.5 19.351 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 19.351 * [taylor]: Taking taylor expansion of (/ 1 k) in n 19.351 * [taylor]: Taking taylor expansion of k in n 19.351 * [backup-simplify]: Simplify k into k 19.351 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 19.351 * [taylor]: Taking taylor expansion of 1.0 in n 19.351 * [backup-simplify]: Simplify 1.0 into 1.0 19.351 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 19.351 * [taylor]: Taking taylor expansion of (/ -1 n) in n 19.351 * [taylor]: Taking taylor expansion of -1 in n 19.351 * [backup-simplify]: Simplify -1 into -1 19.351 * [taylor]: Taking taylor expansion of n in n 19.351 * [backup-simplify]: Simplify 0 into 0 19.351 * [backup-simplify]: Simplify 1 into 1 19.351 * [backup-simplify]: Simplify (/ -1 1) into -1 19.351 * [backup-simplify]: Simplify (log -1) into (log -1) 19.351 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 19.352 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 19.352 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 19.352 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 19.353 * [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)))) 19.353 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 19.353 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 19.353 * [taylor]: Taking taylor expansion of 0.5 in k 19.353 * [backup-simplify]: Simplify 0.5 into 0.5 19.353 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 19.353 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 19.353 * [taylor]: Taking taylor expansion of (log -1) in k 19.353 * [taylor]: Taking taylor expansion of -1 in k 19.353 * [backup-simplify]: Simplify -1 into -1 19.353 * [backup-simplify]: Simplify (log -1) into (log -1) 19.353 * [taylor]: Taking taylor expansion of (log n) in k 19.353 * [taylor]: Taking taylor expansion of n in k 19.353 * [backup-simplify]: Simplify n into n 19.353 * [backup-simplify]: Simplify (log n) into (log n) 19.353 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 19.353 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.353 * [taylor]: Taking taylor expansion of k in k 19.353 * [backup-simplify]: Simplify 0 into 0 19.353 * [backup-simplify]: Simplify 1 into 1 19.354 * [backup-simplify]: Simplify (/ 1 1) into 1 19.354 * [taylor]: Taking taylor expansion of 1.0 in k 19.354 * [backup-simplify]: Simplify 1.0 into 1.0 19.354 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 19.354 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 19.354 * [backup-simplify]: Simplify (+ 1 0) into 1 19.355 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 19.355 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 19.355 * [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)))) 19.356 * [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)))) 19.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 19.357 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 19.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 19.357 * [backup-simplify]: Simplify (+ 0 0) into 0 19.358 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 19.358 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 19.359 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 19.359 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 19.360 * [taylor]: Taking taylor expansion of 0 in k 19.360 * [backup-simplify]: Simplify 0 into 0 19.360 * [backup-simplify]: Simplify 0 into 0 19.360 * [backup-simplify]: Simplify 0 into 0 19.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.362 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 19.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 19.362 * [backup-simplify]: Simplify (+ 0 0) into 0 19.363 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 19.363 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 19.364 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 19.365 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 19.365 * [taylor]: Taking taylor expansion of 0 in k 19.365 * [backup-simplify]: Simplify 0 into 0 19.366 * [backup-simplify]: Simplify 0 into 0 19.366 * [backup-simplify]: Simplify 0 into 0 19.366 * [backup-simplify]: Simplify 0 into 0 19.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.372 * [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 19.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 19.373 * [backup-simplify]: Simplify (+ 0 0) into 0 19.374 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 19.375 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 19.376 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 19.378 * [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 19.379 * [taylor]: Taking taylor expansion of 0 in k 19.379 * [backup-simplify]: Simplify 0 into 0 19.379 * [backup-simplify]: Simplify 0 into 0 19.379 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) 19.379 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1) 19.380 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 19.380 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 19.380 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 19.380 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 19.380 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 19.380 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 19.380 * [taylor]: Taking taylor expansion of 0.5 in k 19.380 * [backup-simplify]: Simplify 0.5 into 0.5 19.380 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 19.381 * [taylor]: Taking taylor expansion of 1.0 in k 19.381 * [backup-simplify]: Simplify 1.0 into 1.0 19.381 * [taylor]: Taking taylor expansion of k in k 19.381 * [backup-simplify]: Simplify 0 into 0 19.381 * [backup-simplify]: Simplify 1 into 1 19.381 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 19.381 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 19.381 * [taylor]: Taking taylor expansion of 2.0 in k 19.381 * [backup-simplify]: Simplify 2.0 into 2.0 19.381 * [taylor]: Taking taylor expansion of PI in k 19.381 * [backup-simplify]: Simplify PI into PI 19.381 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.382 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.383 * [backup-simplify]: Simplify (- 0) into 0 19.383 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 19.384 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 19.386 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 19.388 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 19.388 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 19.388 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 19.388 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 19.388 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 19.388 * [taylor]: Taking taylor expansion of 0.5 in k 19.388 * [backup-simplify]: Simplify 0.5 into 0.5 19.388 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 19.389 * [taylor]: Taking taylor expansion of 1.0 in k 19.389 * [backup-simplify]: Simplify 1.0 into 1.0 19.389 * [taylor]: Taking taylor expansion of k in k 19.389 * [backup-simplify]: Simplify 0 into 0 19.389 * [backup-simplify]: Simplify 1 into 1 19.389 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 19.389 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 19.389 * [taylor]: Taking taylor expansion of 2.0 in k 19.389 * [backup-simplify]: Simplify 2.0 into 2.0 19.389 * [taylor]: Taking taylor expansion of PI in k 19.389 * [backup-simplify]: Simplify PI into PI 19.389 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.390 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.391 * [backup-simplify]: Simplify (- 0) into 0 19.391 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 19.392 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 19.393 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 19.396 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 19.397 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 19.398 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 19.406 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 19.407 * [backup-simplify]: Simplify (- 1) into -1 19.407 * [backup-simplify]: Simplify (+ 0 -1) into -1 19.409 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 19.413 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 19.426 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) 19.433 * [backup-simplify]: Simplify (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) into (* -0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log (* 2.0 PI)))) 19.434 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 19.438 * [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 19.438 * [backup-simplify]: Simplify (- 0) into 0 19.439 * [backup-simplify]: Simplify (+ 0 0) into 0 19.440 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 19.441 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 19.457 * [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 (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) 19.465 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) into (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) 19.482 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log (* 2.0 PI)))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (log (* 2.0 PI)) k)))) 19.483 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 19.483 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 19.483 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 19.483 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 19.483 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 19.483 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 19.483 * [taylor]: Taking taylor expansion of 0.5 in k 19.483 * [backup-simplify]: Simplify 0.5 into 0.5 19.483 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 19.483 * [taylor]: Taking taylor expansion of 1.0 in k 19.483 * [backup-simplify]: Simplify 1.0 into 1.0 19.483 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.483 * [taylor]: Taking taylor expansion of k in k 19.483 * [backup-simplify]: Simplify 0 into 0 19.483 * [backup-simplify]: Simplify 1 into 1 19.484 * [backup-simplify]: Simplify (/ 1 1) into 1 19.484 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 19.484 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 19.484 * [taylor]: Taking taylor expansion of 2.0 in k 19.484 * [backup-simplify]: Simplify 2.0 into 2.0 19.484 * [taylor]: Taking taylor expansion of PI in k 19.484 * [backup-simplify]: Simplify PI into PI 19.484 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.486 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.486 * [backup-simplify]: Simplify (- 1) into -1 19.486 * [backup-simplify]: Simplify (+ 0 -1) into -1 19.487 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 19.488 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 19.490 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 19.490 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 19.490 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 19.490 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 19.490 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 19.490 * [taylor]: Taking taylor expansion of 0.5 in k 19.490 * [backup-simplify]: Simplify 0.5 into 0.5 19.490 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 19.490 * [taylor]: Taking taylor expansion of 1.0 in k 19.490 * [backup-simplify]: Simplify 1.0 into 1.0 19.490 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.490 * [taylor]: Taking taylor expansion of k in k 19.490 * [backup-simplify]: Simplify 0 into 0 19.490 * [backup-simplify]: Simplify 1 into 1 19.490 * [backup-simplify]: Simplify (/ 1 1) into 1 19.490 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 19.490 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 19.490 * [taylor]: Taking taylor expansion of 2.0 in k 19.490 * [backup-simplify]: Simplify 2.0 into 2.0 19.491 * [taylor]: Taking taylor expansion of PI in k 19.491 * [backup-simplify]: Simplify PI into PI 19.491 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.492 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.492 * [backup-simplify]: Simplify (- 1) into -1 19.493 * [backup-simplify]: Simplify (+ 0 -1) into -1 19.493 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 19.495 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 19.496 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 19.497 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 19.497 * [backup-simplify]: Simplify 0 into 0 19.497 * [backup-simplify]: Simplify 0 into 0 19.498 * [backup-simplify]: Simplify 0 into 0 19.498 * [backup-simplify]: Simplify 0 into 0 19.498 * [backup-simplify]: Simplify 0 into 0 19.498 * [backup-simplify]: Simplify 0 into 0 19.499 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (* 2.0 PI))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) 19.500 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 19.500 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 19.500 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 19.500 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 19.500 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 19.500 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 19.500 * [taylor]: Taking taylor expansion of 0.5 in k 19.500 * [backup-simplify]: Simplify 0.5 into 0.5 19.500 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 19.500 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.500 * [taylor]: Taking taylor expansion of k in k 19.500 * [backup-simplify]: Simplify 0 into 0 19.500 * [backup-simplify]: Simplify 1 into 1 19.500 * [backup-simplify]: Simplify (/ 1 1) into 1 19.500 * [taylor]: Taking taylor expansion of 1.0 in k 19.500 * [backup-simplify]: Simplify 1.0 into 1.0 19.500 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 19.500 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 19.500 * [taylor]: Taking taylor expansion of 2.0 in k 19.500 * [backup-simplify]: Simplify 2.0 into 2.0 19.500 * [taylor]: Taking taylor expansion of PI in k 19.500 * [backup-simplify]: Simplify PI into PI 19.501 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.502 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.502 * [backup-simplify]: Simplify (+ 1 0) into 1 19.503 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 19.505 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 19.506 * [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)))) 19.506 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 19.506 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 19.506 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 19.506 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 19.506 * [taylor]: Taking taylor expansion of 0.5 in k 19.506 * [backup-simplify]: Simplify 0.5 into 0.5 19.506 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 19.506 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.506 * [taylor]: Taking taylor expansion of k in k 19.506 * [backup-simplify]: Simplify 0 into 0 19.506 * [backup-simplify]: Simplify 1 into 1 19.506 * [backup-simplify]: Simplify (/ 1 1) into 1 19.506 * [taylor]: Taking taylor expansion of 1.0 in k 19.507 * [backup-simplify]: Simplify 1.0 into 1.0 19.507 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 19.507 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 19.507 * [taylor]: Taking taylor expansion of 2.0 in k 19.507 * [backup-simplify]: Simplify 2.0 into 2.0 19.507 * [taylor]: Taking taylor expansion of PI in k 19.507 * [backup-simplify]: Simplify PI into PI 19.507 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.508 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.509 * [backup-simplify]: Simplify (+ 1 0) into 1 19.509 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 19.511 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 19.512 * [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)))) 19.513 * [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)))) 19.513 * [backup-simplify]: Simplify 0 into 0 19.513 * [backup-simplify]: Simplify 0 into 0 19.513 * [backup-simplify]: Simplify 0 into 0 19.513 * [backup-simplify]: Simplify 0 into 0 19.513 * [backup-simplify]: Simplify 0 into 0 19.513 * [backup-simplify]: Simplify 0 into 0 19.515 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) 19.515 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 19.515 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 19.515 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 19.515 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 19.516 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 19.516 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 19.516 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 19.516 * [taylor]: Taking taylor expansion of 0.5 in k 19.516 * [backup-simplify]: Simplify 0.5 into 0.5 19.516 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 19.516 * [taylor]: Taking taylor expansion of 1.0 in k 19.516 * [backup-simplify]: Simplify 1.0 into 1.0 19.516 * [taylor]: Taking taylor expansion of k in k 19.516 * [backup-simplify]: Simplify 0 into 0 19.516 * [backup-simplify]: Simplify 1 into 1 19.516 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 19.516 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 19.516 * [taylor]: Taking taylor expansion of 2.0 in k 19.516 * [backup-simplify]: Simplify 2.0 into 2.0 19.516 * [taylor]: Taking taylor expansion of PI in k 19.516 * [backup-simplify]: Simplify PI into PI 19.516 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.517 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.518 * [backup-simplify]: Simplify (- 0) into 0 19.518 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 19.518 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 19.519 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 19.521 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 19.521 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 19.521 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 19.521 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 19.521 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 19.521 * [taylor]: Taking taylor expansion of 0.5 in k 19.521 * [backup-simplify]: Simplify 0.5 into 0.5 19.521 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 19.521 * [taylor]: Taking taylor expansion of 1.0 in k 19.521 * [backup-simplify]: Simplify 1.0 into 1.0 19.521 * [taylor]: Taking taylor expansion of k in k 19.521 * [backup-simplify]: Simplify 0 into 0 19.521 * [backup-simplify]: Simplify 1 into 1 19.521 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 19.521 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 19.521 * [taylor]: Taking taylor expansion of 2.0 in k 19.521 * [backup-simplify]: Simplify 2.0 into 2.0 19.521 * [taylor]: Taking taylor expansion of PI in k 19.521 * [backup-simplify]: Simplify PI into PI 19.521 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.522 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.522 * [backup-simplify]: Simplify (- 0) into 0 19.522 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 19.523 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 19.524 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 19.526 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 19.527 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 19.527 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 19.528 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 19.528 * [backup-simplify]: Simplify (- 1) into -1 19.529 * [backup-simplify]: Simplify (+ 0 -1) into -1 19.529 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 19.532 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 19.544 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) 19.551 * [backup-simplify]: Simplify (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) into (* -0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log (* 2.0 PI)))) 19.552 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 19.555 * [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 19.556 * [backup-simplify]: Simplify (- 0) into 0 19.556 * [backup-simplify]: Simplify (+ 0 0) into 0 19.557 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 19.559 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 19.568 * [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 (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) 19.573 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) into (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) 19.583 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log (* 2.0 PI)))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (log (* 2.0 PI)) k)))) 19.584 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 19.584 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 19.584 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 19.584 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 19.584 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 19.584 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 19.584 * [taylor]: Taking taylor expansion of 0.5 in k 19.584 * [backup-simplify]: Simplify 0.5 into 0.5 19.584 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 19.584 * [taylor]: Taking taylor expansion of 1.0 in k 19.584 * [backup-simplify]: Simplify 1.0 into 1.0 19.584 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.584 * [taylor]: Taking taylor expansion of k in k 19.584 * [backup-simplify]: Simplify 0 into 0 19.584 * [backup-simplify]: Simplify 1 into 1 19.584 * [backup-simplify]: Simplify (/ 1 1) into 1 19.585 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 19.585 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 19.585 * [taylor]: Taking taylor expansion of 2.0 in k 19.585 * [backup-simplify]: Simplify 2.0 into 2.0 19.585 * [taylor]: Taking taylor expansion of PI in k 19.585 * [backup-simplify]: Simplify PI into PI 19.585 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.586 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.586 * [backup-simplify]: Simplify (- 1) into -1 19.586 * [backup-simplify]: Simplify (+ 0 -1) into -1 19.586 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 19.587 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 19.588 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 19.588 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 19.588 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 19.588 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 19.588 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 19.588 * [taylor]: Taking taylor expansion of 0.5 in k 19.588 * [backup-simplify]: Simplify 0.5 into 0.5 19.588 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 19.588 * [taylor]: Taking taylor expansion of 1.0 in k 19.588 * [backup-simplify]: Simplify 1.0 into 1.0 19.588 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.588 * [taylor]: Taking taylor expansion of k in k 19.588 * [backup-simplify]: Simplify 0 into 0 19.588 * [backup-simplify]: Simplify 1 into 1 19.589 * [backup-simplify]: Simplify (/ 1 1) into 1 19.589 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 19.589 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 19.589 * [taylor]: Taking taylor expansion of 2.0 in k 19.589 * [backup-simplify]: Simplify 2.0 into 2.0 19.589 * [taylor]: Taking taylor expansion of PI in k 19.589 * [backup-simplify]: Simplify PI into PI 19.589 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.590 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.591 * [backup-simplify]: Simplify (- 1) into -1 19.591 * [backup-simplify]: Simplify (+ 0 -1) into -1 19.592 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 19.593 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 19.594 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 19.596 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 19.596 * [backup-simplify]: Simplify 0 into 0 19.596 * [backup-simplify]: Simplify 0 into 0 19.596 * [backup-simplify]: Simplify 0 into 0 19.596 * [backup-simplify]: Simplify 0 into 0 19.596 * [backup-simplify]: Simplify 0 into 0 19.596 * [backup-simplify]: Simplify 0 into 0 19.597 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (* 2.0 PI))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) 19.598 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 19.598 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 19.598 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 19.598 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 19.598 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 19.598 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 19.598 * [taylor]: Taking taylor expansion of 0.5 in k 19.598 * [backup-simplify]: Simplify 0.5 into 0.5 19.598 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 19.598 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.598 * [taylor]: Taking taylor expansion of k in k 19.598 * [backup-simplify]: Simplify 0 into 0 19.598 * [backup-simplify]: Simplify 1 into 1 19.599 * [backup-simplify]: Simplify (/ 1 1) into 1 19.599 * [taylor]: Taking taylor expansion of 1.0 in k 19.599 * [backup-simplify]: Simplify 1.0 into 1.0 19.599 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 19.599 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 19.599 * [taylor]: Taking taylor expansion of 2.0 in k 19.599 * [backup-simplify]: Simplify 2.0 into 2.0 19.599 * [taylor]: Taking taylor expansion of PI in k 19.599 * [backup-simplify]: Simplify PI into PI 19.599 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.601 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.601 * [backup-simplify]: Simplify (+ 1 0) into 1 19.601 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 19.603 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 19.604 * [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)))) 19.604 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 19.604 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 19.604 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 19.604 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 19.605 * [taylor]: Taking taylor expansion of 0.5 in k 19.605 * [backup-simplify]: Simplify 0.5 into 0.5 19.605 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 19.605 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.605 * [taylor]: Taking taylor expansion of k in k 19.605 * [backup-simplify]: Simplify 0 into 0 19.605 * [backup-simplify]: Simplify 1 into 1 19.605 * [backup-simplify]: Simplify (/ 1 1) into 1 19.605 * [taylor]: Taking taylor expansion of 1.0 in k 19.605 * [backup-simplify]: Simplify 1.0 into 1.0 19.605 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 19.605 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 19.605 * [taylor]: Taking taylor expansion of 2.0 in k 19.605 * [backup-simplify]: Simplify 2.0 into 2.0 19.605 * [taylor]: Taking taylor expansion of PI in k 19.605 * [backup-simplify]: Simplify PI into PI 19.606 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.607 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.607 * [backup-simplify]: Simplify (+ 1 0) into 1 19.608 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 19.609 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 19.611 * [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)))) 19.612 * [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)))) 19.612 * [backup-simplify]: Simplify 0 into 0 19.612 * [backup-simplify]: Simplify 0 into 0 19.612 * [backup-simplify]: Simplify 0 into 0 19.612 * [backup-simplify]: Simplify 0 into 0 19.612 * [backup-simplify]: Simplify 0 into 0 19.612 * [backup-simplify]: Simplify 0 into 0 19.613 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) 19.613 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 19.615 * [backup-simplify]: Simplify (* (* (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))))) into (* (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) (sqrt (/ 1 k))) 19.615 * [approximate]: Taking taylor expansion of (* (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) (sqrt (/ 1 k))) in (k) around 0 19.615 * [taylor]: Taking taylor expansion of (* (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) (sqrt (/ 1 k))) in k 19.615 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 19.615 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 19.615 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 19.615 * [taylor]: Taking taylor expansion of 1.0 in k 19.615 * [backup-simplify]: Simplify 1.0 into 1.0 19.616 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 19.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 19.616 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 19.616 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 19.616 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 19.617 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 19.617 * [taylor]: Taking taylor expansion of 0.5 in k 19.617 * [backup-simplify]: Simplify 0.5 into 0.5 19.617 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 19.617 * [taylor]: Taking taylor expansion of 1.0 in k 19.617 * [backup-simplify]: Simplify 1.0 into 1.0 19.617 * [taylor]: Taking taylor expansion of k in k 19.617 * [backup-simplify]: Simplify 0 into 0 19.617 * [backup-simplify]: Simplify 1 into 1 19.617 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 19.617 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 19.617 * [taylor]: Taking taylor expansion of 2.0 in k 19.617 * [backup-simplify]: Simplify 2.0 into 2.0 19.617 * [taylor]: Taking taylor expansion of PI in k 19.617 * [backup-simplify]: Simplify PI into PI 19.617 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.618 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.619 * [backup-simplify]: Simplify (- 0) into 0 19.619 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 19.620 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 19.621 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 19.624 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 19.624 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 19.624 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.624 * [taylor]: Taking taylor expansion of k in k 19.624 * [backup-simplify]: Simplify 0 into 0 19.624 * [backup-simplify]: Simplify 1 into 1 19.625 * [backup-simplify]: Simplify (/ 1 1) into 1 19.625 * [backup-simplify]: Simplify (sqrt 0) into 0 19.627 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 19.627 * [taylor]: Taking taylor expansion of (* (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) (sqrt (/ 1 k))) in k 19.627 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 19.627 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 19.627 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 19.627 * [taylor]: Taking taylor expansion of 1.0 in k 19.627 * [backup-simplify]: Simplify 1.0 into 1.0 19.627 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 19.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 19.628 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 19.628 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 19.628 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 19.628 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 19.628 * [taylor]: Taking taylor expansion of 0.5 in k 19.628 * [backup-simplify]: Simplify 0.5 into 0.5 19.628 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 19.628 * [taylor]: Taking taylor expansion of 1.0 in k 19.628 * [backup-simplify]: Simplify 1.0 into 1.0 19.628 * [taylor]: Taking taylor expansion of k in k 19.628 * [backup-simplify]: Simplify 0 into 0 19.628 * [backup-simplify]: Simplify 1 into 1 19.628 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 19.628 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 19.628 * [taylor]: Taking taylor expansion of 2.0 in k 19.628 * [backup-simplify]: Simplify 2.0 into 2.0 19.628 * [taylor]: Taking taylor expansion of PI in k 19.628 * [backup-simplify]: Simplify PI into PI 19.629 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.629 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.630 * [backup-simplify]: Simplify (- 0) into 0 19.630 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 19.630 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 19.631 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 19.633 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 19.633 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 19.633 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.633 * [taylor]: Taking taylor expansion of k in k 19.633 * [backup-simplify]: Simplify 0 into 0 19.633 * [backup-simplify]: Simplify 1 into 1 19.633 * [backup-simplify]: Simplify (/ 1 1) into 1 19.633 * [backup-simplify]: Simplify (sqrt 0) into 0 19.634 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 19.635 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 19.637 * [backup-simplify]: Simplify (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) 0.5)) into (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (sqrt 1.0) 2)) 19.638 * [backup-simplify]: Simplify (* (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (sqrt 1.0) 2)) 0) into 0 19.638 * [backup-simplify]: Simplify 0 into 0 19.638 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 19.639 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 19.640 * [backup-simplify]: Simplify (- 1) into -1 19.640 * [backup-simplify]: Simplify (+ 0 -1) into -1 19.641 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 19.643 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 19.656 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) 19.656 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 19.668 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI))))) (* 0 (pow (* 2.0 PI) 0.5))) into (- (* 0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (log (* 2.0 PI)))))) 19.684 * [backup-simplify]: Simplify (+ (* (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (sqrt 1.0) 2)) +nan.0) (* (- (* 0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (log (* 2.0 PI)))))) 0)) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (sqrt 1.0) 2)))) 19.693 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (sqrt 1.0) 2)))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (sqrt 1.0) 2)))) 19.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.697 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 19.698 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 19.702 * [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 19.702 * [backup-simplify]: Simplify (- 0) into 0 19.703 * [backup-simplify]: Simplify (+ 0 0) into 0 19.704 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 19.705 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 19.721 * [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 (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) 19.722 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 19.723 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 19.744 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2)))) (+ (* 0 (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI))))) (* 0 (pow (* 2.0 PI) 0.5)))) into (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (pow (log (* 2.0 PI)) 2)))) 19.765 * [backup-simplify]: Simplify (+ (* (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (sqrt 1.0) 2)) +nan.0) (+ (* (- (* 0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (log (* 2.0 PI)))))) +nan.0) (* (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (pow (log (* 2.0 PI)) 2)))) 0))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (sqrt 1.0) 2))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (log (* 2.0 PI)))))))) 19.790 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (sqrt 1.0) 2))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (log (* 2.0 PI)))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (sqrt 1.0) 2))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (log (* 2.0 PI)))))))) 19.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.793 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 19.794 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 19.797 * [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 19.798 * [backup-simplify]: Simplify (- 0) into 0 19.798 * [backup-simplify]: Simplify (+ 0 0) into 0 19.799 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 19.800 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 19.811 * [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 (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 3))) 19.812 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 19.812 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 19.830 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) (* -0.020833333333333332 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 3)))) (+ (* 0 (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2)))) (+ (* 0 (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI))))) (* 0 (pow (* 2.0 PI) 0.5))))) into (- (* 0.020833333333333332 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (pow (log (* 2.0 PI)) 3))))) 19.876 * [backup-simplify]: Simplify (+ (* (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (sqrt 1.0) 2)) +nan.0) (+ (* (- (* 0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (log (* 2.0 PI)))))) +nan.0) (+ (* (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (pow (log (* 2.0 PI)) 2)))) +nan.0) (* (- (* 0.020833333333333332 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (pow (log (* 2.0 PI)) 3))))) 0)))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (pow (log (* 2.0 PI)) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (log (* 2.0 PI)))))))))) 19.920 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (pow (log (* 2.0 PI)) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (log (* 2.0 PI)))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (pow (log (* 2.0 PI)) 2)))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (log (* 2.0 PI)))))))))) 19.984 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (pow (log (* 2.0 PI)) 2)))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (log (* 2.0 PI)))))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (sqrt 1.0) 2))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (log (* 2.0 PI)))))))) k) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (sqrt 1.0) 2)))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (* (log (* 2.0 PI)) k)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (* (pow (log (* 2.0 PI)) 2) (pow k 2))))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (* (log (* 2.0 PI)) (pow k 2))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (sqrt 1.0) 2) k)))))))))))))) 19.986 * [backup-simplify]: Simplify (* (* (sqrt (/ 1.0 (sqrt (/ 1 k)))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)))) (* (sqrt (/ 1.0 (sqrt (/ 1 k)))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0))))) into (* (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) (sqrt k)) 19.986 * [approximate]: Taking taylor expansion of (* (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) (sqrt k)) in (k) around 0 19.986 * [taylor]: Taking taylor expansion of (* (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) (sqrt k)) in k 19.986 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 19.986 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 19.986 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 19.986 * [taylor]: Taking taylor expansion of 1.0 in k 19.986 * [backup-simplify]: Simplify 1.0 into 1.0 19.995 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 19.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 19.996 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 19.996 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 19.996 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 19.996 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 19.996 * [taylor]: Taking taylor expansion of 0.5 in k 19.996 * [backup-simplify]: Simplify 0.5 into 0.5 19.996 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 19.996 * [taylor]: Taking taylor expansion of 1.0 in k 19.996 * [backup-simplify]: Simplify 1.0 into 1.0 19.996 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.996 * [taylor]: Taking taylor expansion of k in k 19.996 * [backup-simplify]: Simplify 0 into 0 19.996 * [backup-simplify]: Simplify 1 into 1 19.997 * [backup-simplify]: Simplify (/ 1 1) into 1 19.997 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 19.997 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 19.997 * [taylor]: Taking taylor expansion of 2.0 in k 19.997 * [backup-simplify]: Simplify 2.0 into 2.0 19.997 * [taylor]: Taking taylor expansion of PI in k 19.997 * [backup-simplify]: Simplify PI into PI 19.997 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.998 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 19.998 * [backup-simplify]: Simplify (- 1) into -1 19.998 * [backup-simplify]: Simplify (+ 0 -1) into -1 19.998 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 19.999 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 20.000 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 20.000 * [taylor]: Taking taylor expansion of (sqrt k) in k 20.000 * [taylor]: Taking taylor expansion of k in k 20.000 * [backup-simplify]: Simplify 0 into 0 20.000 * [backup-simplify]: Simplify 1 into 1 20.001 * [backup-simplify]: Simplify (sqrt 0) into 0 20.001 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 20.001 * [taylor]: Taking taylor expansion of (* (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) (sqrt k)) in k 20.001 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 20.002 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 20.002 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 20.002 * [taylor]: Taking taylor expansion of 1.0 in k 20.002 * [backup-simplify]: Simplify 1.0 into 1.0 20.002 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 20.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 20.002 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 20.002 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 20.002 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 20.002 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 20.002 * [taylor]: Taking taylor expansion of 0.5 in k 20.002 * [backup-simplify]: Simplify 0.5 into 0.5 20.002 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 20.002 * [taylor]: Taking taylor expansion of 1.0 in k 20.002 * [backup-simplify]: Simplify 1.0 into 1.0 20.002 * [taylor]: Taking taylor expansion of (/ 1 k) in k 20.002 * [taylor]: Taking taylor expansion of k in k 20.002 * [backup-simplify]: Simplify 0 into 0 20.002 * [backup-simplify]: Simplify 1 into 1 20.003 * [backup-simplify]: Simplify (/ 1 1) into 1 20.003 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 20.003 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 20.003 * [taylor]: Taking taylor expansion of 2.0 in k 20.003 * [backup-simplify]: Simplify 2.0 into 2.0 20.003 * [taylor]: Taking taylor expansion of PI in k 20.003 * [backup-simplify]: Simplify PI into PI 20.003 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 20.004 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 20.004 * [backup-simplify]: Simplify (- 1) into -1 20.004 * [backup-simplify]: Simplify (+ 0 -1) into -1 20.005 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 20.006 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 20.006 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 20.006 * [taylor]: Taking taylor expansion of (sqrt k) in k 20.006 * [taylor]: Taking taylor expansion of k in k 20.006 * [backup-simplify]: Simplify 0 into 0 20.006 * [backup-simplify]: Simplify 1 into 1 20.007 * [backup-simplify]: Simplify (sqrt 0) into 0 20.008 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 20.008 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 20.010 * [backup-simplify]: Simplify (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))) into (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))) 20.011 * [backup-simplify]: Simplify (* (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))) 0) into 0 20.011 * [backup-simplify]: Simplify 0 into 0 20.012 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 20.013 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) into 0 20.014 * [backup-simplify]: Simplify (+ (* (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) 20.016 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) into (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) 20.018 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 20.018 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 20.019 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 20.020 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) into 0 20.022 * [backup-simplify]: Simplify (+ (* (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) 20.023 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) into (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) 20.027 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 20.028 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 20.028 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 20.030 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))))) into 0 20.032 * [backup-simplify]: Simplify (+ (* (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) 20.033 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) into (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) 20.038 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (* 2.0 PI)))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (* 2.0 PI)))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (* 2.0 PI)))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))) k)) (- (* +nan.0 (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))) (pow k 2)))))))) 20.039 * [backup-simplify]: Simplify (* (* (sqrt (/ 1.0 (sqrt (/ 1 (- k))))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)))) (* (sqrt (/ 1.0 (sqrt (/ 1 (- k))))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0))))) into (/ (* (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) 20.039 * [approximate]: Taking taylor expansion of (/ (* (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in (k) around 0 20.039 * [taylor]: Taking taylor expansion of (/ (* (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in k 20.039 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) in k 20.039 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 20.039 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 20.039 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 20.039 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 20.039 * [taylor]: Taking taylor expansion of 0.5 in k 20.039 * [backup-simplify]: Simplify 0.5 into 0.5 20.039 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 20.039 * [taylor]: Taking taylor expansion of (/ 1 k) in k 20.039 * [taylor]: Taking taylor expansion of k in k 20.039 * [backup-simplify]: Simplify 0 into 0 20.039 * [backup-simplify]: Simplify 1 into 1 20.039 * [backup-simplify]: Simplify (/ 1 1) into 1 20.039 * [taylor]: Taking taylor expansion of 1.0 in k 20.039 * [backup-simplify]: Simplify 1.0 into 1.0 20.040 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 20.040 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 20.040 * [taylor]: Taking taylor expansion of 2.0 in k 20.040 * [backup-simplify]: Simplify 2.0 into 2.0 20.040 * [taylor]: Taking taylor expansion of PI in k 20.040 * [backup-simplify]: Simplify PI into PI 20.040 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 20.041 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 20.041 * [backup-simplify]: Simplify (+ 1 0) into 1 20.041 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 20.042 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 20.043 * [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)))) 20.043 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 20.043 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 20.043 * [taylor]: Taking taylor expansion of 1.0 in k 20.043 * [backup-simplify]: Simplify 1.0 into 1.0 20.043 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 20.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 20.044 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 20.044 * [taylor]: Taking taylor expansion of (/ -1 k) in k 20.044 * [taylor]: Taking taylor expansion of -1 in k 20.044 * [backup-simplify]: Simplify -1 into -1 20.044 * [taylor]: Taking taylor expansion of k in k 20.044 * [backup-simplify]: Simplify 0 into 0 20.044 * [backup-simplify]: Simplify 1 into 1 20.044 * [backup-simplify]: Simplify (/ -1 1) into -1 20.044 * [backup-simplify]: Simplify (sqrt 0) into 0 20.045 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 20.046 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 20.047 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (pow (sqrt 1.0) 2)) into (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 20.048 * [backup-simplify]: Simplify (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 20.049 * [taylor]: Taking taylor expansion of (/ (* (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in k 20.049 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) in k 20.049 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 20.049 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 20.049 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 20.049 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 20.049 * [taylor]: Taking taylor expansion of 0.5 in k 20.049 * [backup-simplify]: Simplify 0.5 into 0.5 20.049 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 20.049 * [taylor]: Taking taylor expansion of (/ 1 k) in k 20.049 * [taylor]: Taking taylor expansion of k in k 20.049 * [backup-simplify]: Simplify 0 into 0 20.049 * [backup-simplify]: Simplify 1 into 1 20.049 * [backup-simplify]: Simplify (/ 1 1) into 1 20.049 * [taylor]: Taking taylor expansion of 1.0 in k 20.049 * [backup-simplify]: Simplify 1.0 into 1.0 20.049 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 20.049 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 20.049 * [taylor]: Taking taylor expansion of 2.0 in k 20.049 * [backup-simplify]: Simplify 2.0 into 2.0 20.049 * [taylor]: Taking taylor expansion of PI in k 20.049 * [backup-simplify]: Simplify PI into PI 20.049 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 20.050 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 20.050 * [backup-simplify]: Simplify (+ 1 0) into 1 20.051 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 20.052 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 20.052 * [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)))) 20.052 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 20.052 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 20.052 * [taylor]: Taking taylor expansion of 1.0 in k 20.052 * [backup-simplify]: Simplify 1.0 into 1.0 20.053 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 20.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 20.053 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 20.053 * [taylor]: Taking taylor expansion of (/ -1 k) in k 20.053 * [taylor]: Taking taylor expansion of -1 in k 20.053 * [backup-simplify]: Simplify -1 into -1 20.053 * [taylor]: Taking taylor expansion of k in k 20.053 * [backup-simplify]: Simplify 0 into 0 20.053 * [backup-simplify]: Simplify 1 into 1 20.053 * [backup-simplify]: Simplify (/ -1 1) into -1 20.054 * [backup-simplify]: Simplify (sqrt 0) into 0 20.055 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 20.055 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 20.057 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (pow (sqrt 1.0) 2)) into (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 20.059 * [backup-simplify]: Simplify (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 20.061 * [backup-simplify]: Simplify (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 20.062 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 20.064 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (* 0 (pow (sqrt 1.0) 2))) into 0 20.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.068 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 20.072 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) 20.074 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) 20.075 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 20.076 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 20.078 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (pow (sqrt 1.0) 2)))) into 0 20.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.083 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 20.087 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) 20.089 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) 20.093 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (/ 1 (- k))) (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))))) into (- (+ (* +nan.0 (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))) k)) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))))) (- (* +nan.0 (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))) (pow k 2)))))))) 20.093 * * * [progress]: simplifying candidates 20.101 * [simplify]: Simplifying: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (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)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (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)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (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)) (expm1 (* (* (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)))))) (log1p (* (* (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)))))) (+ 1/2 1/2) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (* (* (/ 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))) (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))) (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))) (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))) (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))))) (+ 1 1) (+ 1 1) (+ (+ (log (sqrt (/ 1.0 (sqrt k)))) (log (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (+ (log (sqrt (/ 1.0 (sqrt k)))) (log (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))))) (+ (+ (log (sqrt (/ 1.0 (sqrt k)))) (log (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (log (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))))) (+ (log (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (+ (log (sqrt (/ 1.0 (sqrt k)))) (log (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))))) (+ (log (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (log (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))))) (log (* (* (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)))))) (exp (* (* (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))) (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (* (sqrt (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))))) (* (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (* (sqrt (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)))))) (* (* (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (* (sqrt (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))))) (* (* (* (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))) (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))) (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))) (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (* (sqrt (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)))))) (* (* (* (* (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))) (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))) (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)))))) (* (cbrt (* (* (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)))))) (cbrt (* (* (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))))))) (cbrt (* (* (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))) (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))) (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))) (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)))))) (* (* (/ 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 (* (* (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 (* (* (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 (pow (* 2.0 PI) (/ 1.0 2.0)))) (* (sqrt 1.0) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0))))) (* (* (sqrt (sqrt k)) (sqrt (pow (* 2.0 PI) (/ k 2.0)))) (* (sqrt (sqrt k)) (sqrt (pow (* 2.0 PI) (/ k 2.0))))) (* (* (sqrt 1.0) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0))))) (* (* (sqrt (sqrt k)) (sqrt (pow (* 2.0 PI) (/ k 2.0)))) (sqrt (pow (* 2.0 PI) (/ k 2.0)))) (* (* (sqrt 1.0) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0)))) (* (sqrt 1.0) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (* (sqrt (sqrt k)) (sqrt (pow (* 2.0 PI) (/ k 2.0)))) (sqrt (sqrt k))) (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0)))) (* (sqrt 1.0) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0))))) (* (sqrt (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (sqrt k)) (sqrt (pow (* 2.0 PI) (/ k 2.0))))) (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0))))) (* (sqrt (pow (* 2.0 PI) (/ k 2.0))) (sqrt (pow (* 2.0 PI) (/ k 2.0)))) (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0)))) (* (sqrt 1.0) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (sqrt (pow (* 2.0 PI) (/ k 2.0))) (sqrt (sqrt k))) (* (* (sqrt 1.0) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt 1.0) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0))))) (* (sqrt (sqrt k)) (* (sqrt (sqrt k)) (sqrt (pow (* 2.0 PI) (/ k 2.0))))) (* (* (sqrt 1.0) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0))))) (* (sqrt (sqrt k)) (sqrt (pow (* 2.0 PI) (/ k 2.0)))) (* (* (sqrt 1.0) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt 1.0) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt k)) (sqrt (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 2 1/2) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* (* (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))) (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 (pow (* 2.0 PI) (/ 1.0 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 2.0))))) (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt 1.0) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (* (sqrt 1.0) (sqrt (pow (* 2.0 PI) (/ 1.0 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 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (* (sqrt 1.0) (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))))) (- (+ (* 0.125 (* (pow (pow n 1.0) 0.5) (* (pow (log n) 2) (pow k 2)))) (pow n 0.5)) (* 0.5 (* (pow (pow n 1.0) 0.5) (* (log n) k)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) (- (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (log (* 2.0 PI)) k)))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (- (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (log (* 2.0 PI)) k)))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (* (log (* 2.0 PI)) k)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (* (pow (log (* 2.0 PI)) 2) (pow k 2))))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (* (log (* 2.0 PI)) (pow k 2))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (sqrt 1.0) 2) k)))))))))))))) (- (+ (* +nan.0 (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))) k)) (- (* +nan.0 (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))) k)) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))))) (- (* +nan.0 (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))) (pow k 2)))))))) 20.105 * * [simplify]: Extracting # 0 : cost 123 inf + 0 20.105 * * [simplify]: Extracting # 1 : cost 181 inf + 0 20.105 * * [simplify]: Extracting # 2 : cost 206 inf + 371 20.106 * * [simplify]: Extracting # 3 : cost 178 inf + 7001 20.108 * * [simplify]: Extracting # 4 : cost 133 inf + 25112 20.110 * * [simplify]: Extracting # 5 : cost 109 inf + 42205 20.116 * * [simplify]: Extracting # 6 : cost 67 inf + 62646 20.125 * * [simplify]: Extracting # 7 : cost 43 inf + 78465 20.131 * * [simplify]: Extracting # 8 : cost 30 inf + 91624 20.138 * * [simplify]: Extracting # 9 : cost 24 inf + 99422 20.145 * * [simplify]: Extracting # 10 : cost 16 inf + 112730 20.152 * * [simplify]: Extracting # 11 : cost 14 inf + 118126 20.166 * * [simplify]: Extracting # 12 : cost 16 inf + 118126 20.181 * * [simplify]: Extracting # 13 : cost 18 inf + 118126 20.197 * * [simplify]: Extracting # 14 : cost 16 inf + 118783 20.213 * * [simplify]: Extracting # 15 : cost 13 inf + 121810 20.222 * * [simplify]: Extracting # 16 : cost 11 inf + 124264 20.230 * * [simplify]: Extracting # 17 : cost 10 inf + 125351 20.237 * * [simplify]: Extracting # 18 : cost 9 inf + 127208 20.250 * * [simplify]: Extracting # 19 : cost 8 inf + 129105 20.266 * * [simplify]: Extracting # 20 : cost 7 inf + 131122 20.282 * * [simplify]: Extracting # 21 : cost 6 inf + 133179 20.299 * * [simplify]: Extracting # 22 : cost 5 inf + 135646 20.310 * * [simplify]: Extracting # 23 : cost 0 inf + 149461 20.320 * * [simplify]: iteration 0 : 281 enodes (cost 87494 ) 20.406 * * [simplify]: Extracting # 0 : cost 0 inf + 149461 20.422 * * [simplify]: Extracting # 1 : cost 191 inf + 128023 20.455 * * [simplify]: Extracting # 2 : cost 99 inf + 184163 20.476 * * [simplify]: Extracting # 3 : cost 57 inf + 186710 20.520 * * [simplify]: Extracting # 4 : cost 0 inf + 203809 20.549 * * [simplify]: Extracting # 5 : cost 0 inf + 200041 20.572 * * [simplify]: iteration 1 : 842 enodes (cost 76830 ) 21.033 * * [simplify]: Extracting # 0 : cost 0 inf + 200041 21.077 * * [simplify]: Extracting # 1 : cost 975 inf + 165468 21.186 * * [simplify]: Extracting # 2 : cost 147 inf + 515905 21.320 * * [simplify]: Extracting # 3 : cost 51 inf + 547986 21.413 * * [simplify]: Extracting # 4 : cost 0 inf + 568499 21.531 * * [simplify]: Extracting # 5 : cost 0 inf + 568319 21.624 * * [simplify]: Extracting # 6 : cost 0 inf + 568269 21.733 * * [simplify]: iteration 2 : 3531 enodes (cost 74400 ) 22.677 * * [simplify]: Extracting # 0 : cost 0 inf + 568269 22.849 * * [simplify]: Extracting # 1 : cost 477 inf + 547792 23.027 * * [simplify]: Extracting # 2 : cost 0 inf + 686124 23.199 * * [simplify]: Extracting # 3 : cost 0 inf + 685709 23.334 * * [simplify]: iteration done: 5001 enodes (cost 73140 ) 23.337 * [simplify]: Simplified to: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log 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 2.0)) (/ (cbrt (- 1.0 k)) (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 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)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 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) (/ (* (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 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* 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(sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt k)) (sqrt (pow (* 2.0 PI) (/ k 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt k) (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 1 2 2 2 2 (* (/ 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))) (* (* (sqrt 1.0) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (sqrt (pow (* 2.0 PI) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt 1.0)) (sqrt (/ 1.0 (sqrt k)))) (* (* (sqrt 1.0) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (sqrt (pow (* 2.0 PI) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt 1.0)) (sqrt (/ 1.0 (sqrt k)))) (fma (* 0.125 (pow (pow n 1.0) 0.5)) (* (* k (log n)) (* k (log n))) (- (pow n 0.5) (* 0.5 (* (pow (pow n 1.0) 0.5) (* (log n) k))))) (exp (* (* (- 1.0 k) (- (log n))) -0.5)) (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) (fma (- (* 0.5 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* (log (* 2.0 PI)) k) (fma (* 0.125 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (* (* k (log (* 2.0 PI))) (* k (log (* 2.0 PI)))) (exp (* 0.5 (log (* 2.0 PI)))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (fma (- (* 0.5 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* (log (* 2.0 PI)) k) (fma (* 0.125 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (* (* k (log (* 2.0 PI))) (* k (log (* 2.0 PI)))) (exp (* 0.5 (log (* 2.0 PI)))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (fma (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* 1.0 (* k k)) (fma (* (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (* 1.0 (log (* 2.0 PI)))) k (fma (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* (* (* k (log (* 2.0 PI))) (* k (log (* 2.0 PI)))) 1.0) (fma (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* 1.0 (* (log (* 2.0 PI)) (* k k))) (fma (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (* k 1.0) (* 1.0 (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) (fma +nan.0 (- (/ (* 1.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))) k) (/ 1.0 (/ (* k k) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))))) (* (/ (/ 1.0 (/ (* k k) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))))) k) (- +nan.0))) (- (* (- +nan.0) (/ (* 1.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))) k)) (fma (/ (* 1.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))) k) (/ +nan.0 k) (* (* 1.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))) (- +nan.0)))) 23.373 * * * [progress]: adding candidates to table 24.601 * [progress]: [Phase 3 of 3] Extracting. 24.601 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 24.607 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 24.607 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # #) 24.729 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # #) 24.791 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # #) 24.873 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # #) 25.001 * * * [regime]: Found split indices: #