56.191 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.130 * * * [progress]: [2/2] Setting up program. 0.135 * [progress]: [Phase 2 of 3] Improving. 0.136 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.136 * * [simplify]: Extracting # 0 : cost 0 0.136 * * [simplify]: Extracting # 1 : cost 0 0.136 * * [simplify]: Extracting # 2 : cost 0 0.136 * * [simplify]: Extracting # 3 : cost 0 0.136 * * [simplify]: Extracting # 4 : cost 0 0.136 * * [simplify]: Extracting # 5 : cost 0 0.136 * * [simplify]: Extracting # 6 : cost 0 0.136 * * [simplify]: Extracting # 7 : cost 0 0.136 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.143 * * [simplify]: Extracting # 0 : cost 0 0.143 * * [simplify]: Extracting # 1 : cost 0 0.143 * * [simplify]: Extracting # 2 : cost 0 0.143 * * [simplify]: Extracting # 3 : cost 0 0.143 * * [simplify]: Extracting # 4 : cost 0 0.143 * * [simplify]: Extracting # 5 : cost 0 0.143 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.156 * * [simplify]: Extracting # 0 : cost 0 0.156 * * [simplify]: Extracting # 1 : cost 0 0.156 * * [simplify]: Extracting # 2 : cost 0 0.156 * * [simplify]: Extracting # 3 : cost 0 0.157 * * [simplify]: Extracting # 4 : cost 0 0.157 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.183 * * [simplify]: Extracting # 0 : cost 0 0.183 * * [simplify]: Extracting # 1 : cost 0 0.184 * * [simplify]: Extracting # 2 : cost 0 0.184 * * [simplify]: Extracting # 3 : cost 0 0.184 * * [simplify]: Extracting # 4 : cost 0 0.184 * * [simplify]: iteration 3 : 119 enodes (cost 16 ) 0.268 * * [simplify]: Extracting # 0 : cost 0 0.268 * * [simplify]: Extracting # 1 : cost 0 0.269 * * [simplify]: Extracting # 2 : cost 0 0.270 * * [simplify]: Extracting # 3 : cost 0 0.270 * * [simplify]: Extracting # 4 : cost 0 0.271 * * [simplify]: iteration 4 : 313 enodes (cost 16 ) 0.546 * * [simplify]: Extracting # 0 : cost 0 0.547 * * [simplify]: Extracting # 1 : cost 0 0.548 * * [simplify]: Extracting # 2 : cost 0 0.549 * * [simplify]: Extracting # 3 : cost 0 0.549 * * [simplify]: Extracting # 4 : cost 0 0.550 * * [simplify]: iteration 5 : 853 enodes (cost 16 ) 2.285 * * [simplify]: Extracting # 0 : cost 0 2.292 * * [simplify]: Extracting # 1 : cost 0 2.297 * * [simplify]: Extracting # 2 : cost 0 2.302 * * [simplify]: Extracting # 3 : cost 0 2.307 * * [simplify]: Extracting # 4 : cost 0 2.310 * * [simplify]: iteration 6 : 3196 enodes (cost 16 ) 4.331 * * [simplify]: Extracting # 0 : cost 0 4.337 * * [simplify]: Extracting # 1 : cost 0 4.342 * * [simplify]: Extracting # 2 : cost 0 4.347 * * [simplify]: Extracting # 3 : cost 0 4.352 * * [simplify]: Extracting # 4 : cost 0 4.357 * * [simplify]: iteration done: 5001 enodes (cost 16 ) 4.357 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 4.357 * * [progress]: iteration 1 / 4 4.357 * * * [progress]: picking best candidate 4.360 * * * * [pick]: Picked # 4.360 * * * [progress]: localizing error 4.392 * * * [progress]: generating rewritten candidates 4.392 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.793 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.800 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 4.818 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.881 * * * [progress]: generating series expansions 4.881 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.882 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 4.882 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.882 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.882 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.882 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.882 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.882 * [taylor]: Taking taylor expansion of 0.5 in k 4.882 * [backup-simplify]: Simplify 0.5 into 0.5 4.882 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.882 * [taylor]: Taking taylor expansion of 1.0 in k 4.882 * [backup-simplify]: Simplify 1.0 into 1.0 4.882 * [taylor]: Taking taylor expansion of k in k 4.882 * [backup-simplify]: Simplify 0 into 0 4.882 * [backup-simplify]: Simplify 1 into 1 4.883 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.883 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.883 * [taylor]: Taking taylor expansion of 2.0 in k 4.883 * [backup-simplify]: Simplify 2.0 into 2.0 4.883 * [taylor]: Taking taylor expansion of (* n PI) in k 4.883 * [taylor]: Taking taylor expansion of n in k 4.883 * [backup-simplify]: Simplify n into n 4.883 * [taylor]: Taking taylor expansion of PI in k 4.883 * [backup-simplify]: Simplify PI into PI 4.883 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.883 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.883 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.883 * [backup-simplify]: Simplify (- 0) into 0 4.883 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.884 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.884 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.884 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.884 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.884 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.884 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.884 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.884 * [taylor]: Taking taylor expansion of 0.5 in n 4.884 * [backup-simplify]: Simplify 0.5 into 0.5 4.884 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.884 * [taylor]: Taking taylor expansion of 1.0 in n 4.884 * [backup-simplify]: Simplify 1.0 into 1.0 4.884 * [taylor]: Taking taylor expansion of k in n 4.884 * [backup-simplify]: Simplify k into k 4.884 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.884 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.884 * [taylor]: Taking taylor expansion of 2.0 in n 4.884 * [backup-simplify]: Simplify 2.0 into 2.0 4.884 * [taylor]: Taking taylor expansion of (* n PI) in n 4.884 * [taylor]: Taking taylor expansion of n in n 4.884 * [backup-simplify]: Simplify 0 into 0 4.884 * [backup-simplify]: Simplify 1 into 1 4.884 * [taylor]: Taking taylor expansion of PI in n 4.884 * [backup-simplify]: Simplify PI into PI 4.885 * [backup-simplify]: Simplify (* 0 PI) into 0 4.885 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.886 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.887 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.888 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.888 * [backup-simplify]: Simplify (- k) into (- k) 4.888 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.888 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.889 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.890 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 4.890 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 4.890 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.890 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.890 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.890 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.891 * [taylor]: Taking taylor expansion of 0.5 in n 4.891 * [backup-simplify]: Simplify 0.5 into 0.5 4.891 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.891 * [taylor]: Taking taylor expansion of 1.0 in n 4.891 * [backup-simplify]: Simplify 1.0 into 1.0 4.891 * [taylor]: Taking taylor expansion of k in n 4.891 * [backup-simplify]: Simplify k into k 4.891 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.891 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.891 * [taylor]: Taking taylor expansion of 2.0 in n 4.891 * [backup-simplify]: Simplify 2.0 into 2.0 4.891 * [taylor]: Taking taylor expansion of (* n PI) in n 4.891 * [taylor]: Taking taylor expansion of n in n 4.891 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify 1 into 1 4.891 * [taylor]: Taking taylor expansion of PI in n 4.891 * [backup-simplify]: Simplify PI into PI 4.891 * [backup-simplify]: Simplify (* 0 PI) into 0 4.891 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.892 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.893 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.894 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.894 * [backup-simplify]: Simplify (- k) into (- k) 4.894 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.894 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.895 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.896 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 4.896 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 4.897 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.897 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.897 * [taylor]: Taking taylor expansion of 0.5 in k 4.897 * [backup-simplify]: Simplify 0.5 into 0.5 4.897 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.897 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.897 * [taylor]: Taking taylor expansion of 1.0 in k 4.897 * [backup-simplify]: Simplify 1.0 into 1.0 4.897 * [taylor]: Taking taylor expansion of k in k 4.897 * [backup-simplify]: Simplify 0 into 0 4.897 * [backup-simplify]: Simplify 1 into 1 4.897 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.897 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.897 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.897 * [taylor]: Taking taylor expansion of 2.0 in k 4.897 * [backup-simplify]: Simplify 2.0 into 2.0 4.897 * [taylor]: Taking taylor expansion of PI in k 4.897 * [backup-simplify]: Simplify PI into PI 4.897 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.898 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.898 * [taylor]: Taking taylor expansion of (log n) in k 4.898 * [taylor]: Taking taylor expansion of n in k 4.898 * [backup-simplify]: Simplify n into n 4.898 * [backup-simplify]: Simplify (log n) into (log n) 4.898 * [backup-simplify]: Simplify (- 0) into 0 4.898 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.899 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 4.900 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 4.901 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 4.901 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.902 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.903 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.903 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.904 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.905 * [backup-simplify]: Simplify (- 0) into 0 4.905 * [backup-simplify]: Simplify (+ 0 0) into 0 4.905 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 4.906 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.907 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 4.908 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.908 * [taylor]: Taking taylor expansion of 0 in k 4.908 * [backup-simplify]: Simplify 0 into 0 4.908 * [backup-simplify]: Simplify 0 into 0 4.909 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.910 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.910 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.911 * [backup-simplify]: Simplify (+ 0 0) into 0 4.911 * [backup-simplify]: Simplify (- 1) into -1 4.911 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.913 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 4.915 * [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)))) 4.918 * [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)))))) 4.922 * [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)))))) 4.923 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.924 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.928 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.929 * [backup-simplify]: Simplify (- 0) into 0 4.929 * [backup-simplify]: Simplify (+ 0 0) into 0 4.930 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 4.931 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.933 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.935 * [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 4.935 * [taylor]: Taking taylor expansion of 0 in k 4.936 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify 0 into 0 4.937 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.941 * [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 4.943 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.943 * [backup-simplify]: Simplify (+ 0 0) into 0 4.944 * [backup-simplify]: Simplify (- 0) into 0 4.944 * [backup-simplify]: Simplify (+ 0 0) into 0 4.946 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.949 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 4.953 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 4.958 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 4.977 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 4.978 * [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)))) 4.978 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.978 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.978 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.978 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.978 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.978 * [taylor]: Taking taylor expansion of 0.5 in k 4.978 * [backup-simplify]: Simplify 0.5 into 0.5 4.978 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.978 * [taylor]: Taking taylor expansion of 1.0 in k 4.978 * [backup-simplify]: Simplify 1.0 into 1.0 4.979 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.979 * [taylor]: Taking taylor expansion of k in k 4.979 * [backup-simplify]: Simplify 0 into 0 4.979 * [backup-simplify]: Simplify 1 into 1 4.979 * [backup-simplify]: Simplify (/ 1 1) into 1 4.979 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.979 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.979 * [taylor]: Taking taylor expansion of 2.0 in k 4.979 * [backup-simplify]: Simplify 2.0 into 2.0 4.979 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.979 * [taylor]: Taking taylor expansion of PI in k 4.979 * [backup-simplify]: Simplify PI into PI 4.979 * [taylor]: Taking taylor expansion of n in k 4.979 * [backup-simplify]: Simplify n into n 4.979 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.979 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.980 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.980 * [backup-simplify]: Simplify (- 1) into -1 4.980 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.981 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.981 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.981 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 4.981 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.981 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.981 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.982 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.982 * [taylor]: Taking taylor expansion of 0.5 in n 4.982 * [backup-simplify]: Simplify 0.5 into 0.5 4.982 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.982 * [taylor]: Taking taylor expansion of 1.0 in n 4.982 * [backup-simplify]: Simplify 1.0 into 1.0 4.982 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.982 * [taylor]: Taking taylor expansion of k in n 4.982 * [backup-simplify]: Simplify k into k 4.982 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.982 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.982 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.982 * [taylor]: Taking taylor expansion of 2.0 in n 4.982 * [backup-simplify]: Simplify 2.0 into 2.0 4.982 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.982 * [taylor]: Taking taylor expansion of PI in n 4.982 * [backup-simplify]: Simplify PI into PI 4.982 * [taylor]: Taking taylor expansion of n in n 4.982 * [backup-simplify]: Simplify 0 into 0 4.982 * [backup-simplify]: Simplify 1 into 1 4.983 * [backup-simplify]: Simplify (/ PI 1) into PI 4.983 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.984 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.984 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.985 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.985 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.987 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.988 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.989 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.989 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.989 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.989 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.989 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.989 * [taylor]: Taking taylor expansion of 0.5 in n 4.989 * [backup-simplify]: Simplify 0.5 into 0.5 4.989 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.989 * [taylor]: Taking taylor expansion of 1.0 in n 4.990 * [backup-simplify]: Simplify 1.0 into 1.0 4.990 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.990 * [taylor]: Taking taylor expansion of k in n 4.990 * [backup-simplify]: Simplify k into k 4.990 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.990 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.990 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.990 * [taylor]: Taking taylor expansion of 2.0 in n 4.990 * [backup-simplify]: Simplify 2.0 into 2.0 4.990 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.990 * [taylor]: Taking taylor expansion of PI in n 4.990 * [backup-simplify]: Simplify PI into PI 4.990 * [taylor]: Taking taylor expansion of n in n 4.990 * [backup-simplify]: Simplify 0 into 0 4.990 * [backup-simplify]: Simplify 1 into 1 4.990 * [backup-simplify]: Simplify (/ PI 1) into PI 4.991 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.992 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.992 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.992 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.992 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.994 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.995 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.996 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.997 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.997 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.997 * [taylor]: Taking taylor expansion of 0.5 in k 4.997 * [backup-simplify]: Simplify 0.5 into 0.5 4.997 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.997 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.997 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.997 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.997 * [taylor]: Taking taylor expansion of 2.0 in k 4.997 * [backup-simplify]: Simplify 2.0 into 2.0 4.997 * [taylor]: Taking taylor expansion of PI in k 4.997 * [backup-simplify]: Simplify PI into PI 4.997 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.998 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.998 * [taylor]: Taking taylor expansion of (log n) in k 4.998 * [taylor]: Taking taylor expansion of n in k 4.999 * [backup-simplify]: Simplify n into n 4.999 * [backup-simplify]: Simplify (log n) into (log n) 4.999 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.999 * [taylor]: Taking taylor expansion of 1.0 in k 4.999 * [backup-simplify]: Simplify 1.0 into 1.0 4.999 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.999 * [taylor]: Taking taylor expansion of k in k 4.999 * [backup-simplify]: Simplify 0 into 0 4.999 * [backup-simplify]: Simplify 1 into 1 4.999 * [backup-simplify]: Simplify (/ 1 1) into 1 4.999 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 5.000 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 5.001 * [backup-simplify]: Simplify (- 1) into -1 5.001 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.002 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 5.003 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 5.004 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 5.005 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 5.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.006 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.007 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 5.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.007 * [backup-simplify]: Simplify (- 0) into 0 5.008 * [backup-simplify]: Simplify (+ 0 0) into 0 5.008 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 5.009 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.010 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 5.011 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.011 * [taylor]: Taking taylor expansion of 0 in k 5.011 * [backup-simplify]: Simplify 0 into 0 5.011 * [backup-simplify]: Simplify 0 into 0 5.011 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.012 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.014 * [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 5.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.015 * [backup-simplify]: Simplify (- 0) into 0 5.015 * [backup-simplify]: Simplify (+ 0 0) into 0 5.015 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 5.016 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.017 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 5.019 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.019 * [taylor]: Taking taylor expansion of 0 in k 5.019 * [backup-simplify]: Simplify 0 into 0 5.019 * [backup-simplify]: Simplify 0 into 0 5.019 * [backup-simplify]: Simplify 0 into 0 5.019 * [backup-simplify]: Simplify 0 into 0 5.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.020 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.024 * [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 5.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.025 * [backup-simplify]: Simplify (- 0) into 0 5.025 * [backup-simplify]: Simplify (+ 0 0) into 0 5.026 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 5.028 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.030 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 5.033 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.033 * [taylor]: Taking taylor expansion of 0 in k 5.033 * [backup-simplify]: Simplify 0 into 0 5.033 * [backup-simplify]: Simplify 0 into 0 5.034 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 5.035 * [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))) 5.035 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 5.035 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.035 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.035 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.035 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.035 * [taylor]: Taking taylor expansion of 0.5 in k 5.035 * [backup-simplify]: Simplify 0.5 into 0.5 5.035 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.035 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.035 * [taylor]: Taking taylor expansion of k in k 5.035 * [backup-simplify]: Simplify 0 into 0 5.035 * [backup-simplify]: Simplify 1 into 1 5.036 * [backup-simplify]: Simplify (/ 1 1) into 1 5.036 * [taylor]: Taking taylor expansion of 1.0 in k 5.036 * [backup-simplify]: Simplify 1.0 into 1.0 5.036 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.036 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.036 * [taylor]: Taking taylor expansion of -2.0 in k 5.036 * [backup-simplify]: Simplify -2.0 into -2.0 5.036 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.036 * [taylor]: Taking taylor expansion of PI in k 5.036 * [backup-simplify]: Simplify PI into PI 5.036 * [taylor]: Taking taylor expansion of n in k 5.036 * [backup-simplify]: Simplify n into n 5.036 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.036 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 5.036 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 5.037 * [backup-simplify]: Simplify (+ 1 0) into 1 5.037 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.038 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 5.038 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 5.038 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.038 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.038 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.038 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.038 * [taylor]: Taking taylor expansion of 0.5 in n 5.038 * [backup-simplify]: Simplify 0.5 into 0.5 5.038 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.038 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.038 * [taylor]: Taking taylor expansion of k in n 5.038 * [backup-simplify]: Simplify k into k 5.038 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.038 * [taylor]: Taking taylor expansion of 1.0 in n 5.038 * [backup-simplify]: Simplify 1.0 into 1.0 5.038 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.038 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.038 * [taylor]: Taking taylor expansion of -2.0 in n 5.038 * [backup-simplify]: Simplify -2.0 into -2.0 5.038 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.038 * [taylor]: Taking taylor expansion of PI in n 5.038 * [backup-simplify]: Simplify PI into PI 5.039 * [taylor]: Taking taylor expansion of n in n 5.039 * [backup-simplify]: Simplify 0 into 0 5.039 * [backup-simplify]: Simplify 1 into 1 5.039 * [backup-simplify]: Simplify (/ PI 1) into PI 5.040 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.041 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.041 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.041 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 5.042 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.044 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 5.045 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 5.045 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.045 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.045 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.045 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.045 * [taylor]: Taking taylor expansion of 0.5 in n 5.045 * [backup-simplify]: Simplify 0.5 into 0.5 5.045 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.045 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.045 * [taylor]: Taking taylor expansion of k in n 5.045 * [backup-simplify]: Simplify k into k 5.045 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.045 * [taylor]: Taking taylor expansion of 1.0 in n 5.045 * [backup-simplify]: Simplify 1.0 into 1.0 5.046 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.046 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.046 * [taylor]: Taking taylor expansion of -2.0 in n 5.046 * [backup-simplify]: Simplify -2.0 into -2.0 5.046 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.046 * [taylor]: Taking taylor expansion of PI in n 5.046 * [backup-simplify]: Simplify PI into PI 5.046 * [taylor]: Taking taylor expansion of n in n 5.046 * [backup-simplify]: Simplify 0 into 0 5.046 * [backup-simplify]: Simplify 1 into 1 5.046 * [backup-simplify]: Simplify (/ PI 1) into PI 5.047 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.048 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.048 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.048 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 5.050 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.051 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 5.053 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 5.053 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.053 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.053 * [taylor]: Taking taylor expansion of 0.5 in k 5.053 * [backup-simplify]: Simplify 0.5 into 0.5 5.053 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.053 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.053 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.053 * [taylor]: Taking taylor expansion of k in k 5.053 * [backup-simplify]: Simplify 0 into 0 5.053 * [backup-simplify]: Simplify 1 into 1 5.054 * [backup-simplify]: Simplify (/ 1 1) into 1 5.054 * [taylor]: Taking taylor expansion of 1.0 in k 5.054 * [backup-simplify]: Simplify 1.0 into 1.0 5.054 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.054 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.054 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.054 * [taylor]: Taking taylor expansion of -2.0 in k 5.054 * [backup-simplify]: Simplify -2.0 into -2.0 5.054 * [taylor]: Taking taylor expansion of PI in k 5.054 * [backup-simplify]: Simplify PI into PI 5.054 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.056 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.056 * [taylor]: Taking taylor expansion of (log n) in k 5.056 * [taylor]: Taking taylor expansion of n in k 5.056 * [backup-simplify]: Simplify n into n 5.056 * [backup-simplify]: Simplify (log n) into (log n) 5.056 * [backup-simplify]: Simplify (+ 1 0) into 1 5.056 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 5.057 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 5.058 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 5.060 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 5.061 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 5.062 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 5.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.064 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 5.066 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 5.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.066 * [backup-simplify]: Simplify (+ 0 0) into 0 5.067 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 5.068 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.069 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 5.071 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.072 * [taylor]: Taking taylor expansion of 0 in k 5.072 * [backup-simplify]: Simplify 0 into 0 5.072 * [backup-simplify]: Simplify 0 into 0 5.072 * [backup-simplify]: Simplify 0 into 0 5.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.074 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.077 * [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 5.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.078 * [backup-simplify]: Simplify (+ 0 0) into 0 5.079 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 5.081 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.082 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 5.085 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.085 * [taylor]: Taking taylor expansion of 0 in k 5.085 * [backup-simplify]: Simplify 0 into 0 5.085 * [backup-simplify]: Simplify 0 into 0 5.085 * [backup-simplify]: Simplify 0 into 0 5.085 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.088 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.095 * [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 5.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.096 * [backup-simplify]: Simplify (+ 0 0) into 0 5.098 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 5.099 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.101 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 5.104 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.105 * [taylor]: Taking taylor expansion of 0 in k 5.105 * [backup-simplify]: Simplify 0 into 0 5.105 * [backup-simplify]: Simplify 0 into 0 5.106 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 5.106 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.106 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 5.106 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.106 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.107 * [taylor]: Taking taylor expansion of 1.0 in k 5.107 * [backup-simplify]: Simplify 1.0 into 1.0 5.107 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.107 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.107 * [taylor]: Taking taylor expansion of k in k 5.107 * [backup-simplify]: Simplify 0 into 0 5.107 * [backup-simplify]: Simplify 1 into 1 5.107 * [backup-simplify]: Simplify (/ 1 1) into 1 5.108 * [backup-simplify]: Simplify (sqrt 0) into 0 5.114 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.114 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.114 * [taylor]: Taking taylor expansion of 1.0 in k 5.114 * [backup-simplify]: Simplify 1.0 into 1.0 5.114 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.114 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.114 * [taylor]: Taking taylor expansion of k in k 5.114 * [backup-simplify]: Simplify 0 into 0 5.114 * [backup-simplify]: Simplify 1 into 1 5.115 * [backup-simplify]: Simplify (/ 1 1) into 1 5.115 * [backup-simplify]: Simplify (sqrt 0) into 0 5.116 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.117 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.117 * [backup-simplify]: Simplify 0 into 0 5.118 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 5.119 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.122 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.124 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 5.125 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.130 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.130 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.131 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 5.131 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 5.131 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.131 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.131 * [taylor]: Taking taylor expansion of 1.0 in k 5.131 * [backup-simplify]: Simplify 1.0 into 1.0 5.131 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.131 * [taylor]: Taking taylor expansion of k in k 5.131 * [backup-simplify]: Simplify 0 into 0 5.131 * [backup-simplify]: Simplify 1 into 1 5.132 * [backup-simplify]: Simplify (sqrt 0) into 0 5.133 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.133 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.133 * [taylor]: Taking taylor expansion of 1.0 in k 5.133 * [backup-simplify]: Simplify 1.0 into 1.0 5.133 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.133 * [taylor]: Taking taylor expansion of k in k 5.133 * [backup-simplify]: Simplify 0 into 0 5.133 * [backup-simplify]: Simplify 1 into 1 5.133 * [backup-simplify]: Simplify (sqrt 0) into 0 5.134 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.134 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.134 * [backup-simplify]: Simplify 0 into 0 5.135 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 5.135 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.137 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.138 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 5.138 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.141 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.142 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.142 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.143 * [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)))))))) 5.144 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 5.144 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.144 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.144 * [taylor]: Taking taylor expansion of 1.0 in k 5.144 * [backup-simplify]: Simplify 1.0 into 1.0 5.144 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.144 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.144 * [taylor]: Taking taylor expansion of -1 in k 5.144 * [backup-simplify]: Simplify -1 into -1 5.144 * [taylor]: Taking taylor expansion of k in k 5.144 * [backup-simplify]: Simplify 0 into 0 5.144 * [backup-simplify]: Simplify 1 into 1 5.144 * [backup-simplify]: Simplify (/ -1 1) into -1 5.145 * [backup-simplify]: Simplify (sqrt 0) into 0 5.145 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.146 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 5.146 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.146 * [taylor]: Taking taylor expansion of 1.0 in k 5.146 * [backup-simplify]: Simplify 1.0 into 1.0 5.146 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.146 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.146 * [taylor]: Taking taylor expansion of -1 in k 5.146 * [backup-simplify]: Simplify -1 into -1 5.146 * [taylor]: Taking taylor expansion of k in k 5.146 * [backup-simplify]: Simplify 0 into 0 5.146 * [backup-simplify]: Simplify 1 into 1 5.146 * [backup-simplify]: Simplify (/ -1 1) into -1 5.146 * [backup-simplify]: Simplify (sqrt 0) into 0 5.147 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.148 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 5.148 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.150 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.152 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 5.152 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.155 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.158 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 5.158 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.159 * [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))))) 5.159 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.159 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 5.159 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.159 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.159 * [taylor]: Taking taylor expansion of 2.0 in n 5.159 * [backup-simplify]: Simplify 2.0 into 2.0 5.159 * [taylor]: Taking taylor expansion of (* n PI) in n 5.159 * [taylor]: Taking taylor expansion of n in n 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify 1 into 1 5.160 * [taylor]: Taking taylor expansion of PI in n 5.160 * [backup-simplify]: Simplify PI into PI 5.160 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.160 * [taylor]: Taking taylor expansion of 2.0 in n 5.160 * [backup-simplify]: Simplify 2.0 into 2.0 5.160 * [taylor]: Taking taylor expansion of (* n PI) in n 5.160 * [taylor]: Taking taylor expansion of n in n 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify 1 into 1 5.160 * [taylor]: Taking taylor expansion of PI in n 5.160 * [backup-simplify]: Simplify PI into PI 5.160 * [backup-simplify]: Simplify (* 0 PI) into 0 5.160 * [backup-simplify]: Simplify (* 2.0 0) into 0 5.160 * [backup-simplify]: Simplify 0 into 0 5.161 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.162 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 5.163 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.163 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 5.164 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 5.164 * [backup-simplify]: Simplify 0 into 0 5.165 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 5.165 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 5.165 * [backup-simplify]: Simplify 0 into 0 5.166 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 5.167 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 5.167 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 5.169 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 5.169 * [backup-simplify]: Simplify 0 into 0 5.170 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 5.171 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 5.171 * [backup-simplify]: Simplify 0 into 0 5.172 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 5.173 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 5.173 * [backup-simplify]: Simplify 0 into 0 5.173 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 5.174 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 5.174 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.174 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.174 * [taylor]: Taking taylor expansion of 2.0 in n 5.174 * [backup-simplify]: Simplify 2.0 into 2.0 5.174 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.174 * [taylor]: Taking taylor expansion of PI in n 5.174 * [backup-simplify]: Simplify PI into PI 5.174 * [taylor]: Taking taylor expansion of n in n 5.174 * [backup-simplify]: Simplify 0 into 0 5.174 * [backup-simplify]: Simplify 1 into 1 5.174 * [backup-simplify]: Simplify (/ PI 1) into PI 5.174 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.174 * [taylor]: Taking taylor expansion of 2.0 in n 5.174 * [backup-simplify]: Simplify 2.0 into 2.0 5.174 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.174 * [taylor]: Taking taylor expansion of PI in n 5.174 * [backup-simplify]: Simplify PI into PI 5.174 * [taylor]: Taking taylor expansion of n in n 5.174 * [backup-simplify]: Simplify 0 into 0 5.174 * [backup-simplify]: Simplify 1 into 1 5.175 * [backup-simplify]: Simplify (/ PI 1) into PI 5.175 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.175 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.176 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.176 * [backup-simplify]: Simplify 0 into 0 5.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.178 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.178 * [backup-simplify]: Simplify 0 into 0 5.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.179 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.179 * [backup-simplify]: Simplify 0 into 0 5.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.180 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 5.180 * [backup-simplify]: Simplify 0 into 0 5.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.182 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 5.182 * [backup-simplify]: Simplify 0 into 0 5.183 * [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 5.184 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 5.184 * [backup-simplify]: Simplify 0 into 0 5.185 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 5.185 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 5.185 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.186 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.186 * [taylor]: Taking taylor expansion of -2.0 in n 5.186 * [backup-simplify]: Simplify -2.0 into -2.0 5.186 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.186 * [taylor]: Taking taylor expansion of PI in n 5.186 * [backup-simplify]: Simplify PI into PI 5.186 * [taylor]: Taking taylor expansion of n in n 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify 1 into 1 5.186 * [backup-simplify]: Simplify (/ PI 1) into PI 5.186 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.186 * [taylor]: Taking taylor expansion of -2.0 in n 5.186 * [backup-simplify]: Simplify -2.0 into -2.0 5.186 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.186 * [taylor]: Taking taylor expansion of PI in n 5.187 * [backup-simplify]: Simplify PI into PI 5.187 * [taylor]: Taking taylor expansion of n in n 5.187 * [backup-simplify]: Simplify 0 into 0 5.187 * [backup-simplify]: Simplify 1 into 1 5.187 * [backup-simplify]: Simplify (/ PI 1) into PI 5.188 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.188 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.190 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 5.190 * [backup-simplify]: Simplify 0 into 0 5.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.192 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.192 * [backup-simplify]: Simplify 0 into 0 5.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.195 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.195 * [backup-simplify]: Simplify 0 into 0 5.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.197 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 5.197 * [backup-simplify]: Simplify 0 into 0 5.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.200 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 5.201 * [backup-simplify]: Simplify 0 into 0 5.202 * [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 5.204 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 5.204 * [backup-simplify]: Simplify 0 into 0 5.204 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 5.204 * * * * [progress]: [ 4 / 4 ] generating series at (2) 5.205 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) 5.205 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 5.206 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 5.206 * [taylor]: Taking taylor expansion of 1.0 in n 5.206 * [backup-simplify]: Simplify 1.0 into 1.0 5.206 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 5.206 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 5.206 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.206 * [taylor]: Taking taylor expansion of k in n 5.206 * [backup-simplify]: Simplify k into k 5.206 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.206 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 5.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 5.206 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.206 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.206 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.206 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.206 * [taylor]: Taking taylor expansion of 0.5 in n 5.206 * [backup-simplify]: Simplify 0.5 into 0.5 5.206 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.207 * [taylor]: Taking taylor expansion of 1.0 in n 5.207 * [backup-simplify]: Simplify 1.0 into 1.0 5.207 * [taylor]: Taking taylor expansion of k in n 5.207 * [backup-simplify]: Simplify k into k 5.207 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.207 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.207 * [taylor]: Taking taylor expansion of 2.0 in n 5.207 * [backup-simplify]: Simplify 2.0 into 2.0 5.207 * [taylor]: Taking taylor expansion of (* n PI) in n 5.207 * [taylor]: Taking taylor expansion of n in n 5.207 * [backup-simplify]: Simplify 0 into 0 5.207 * [backup-simplify]: Simplify 1 into 1 5.207 * [taylor]: Taking taylor expansion of PI in n 5.207 * [backup-simplify]: Simplify PI into PI 5.207 * [backup-simplify]: Simplify (* 0 PI) into 0 5.208 * [backup-simplify]: Simplify (* 2.0 0) into 0 5.209 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.211 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 5.212 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.212 * [backup-simplify]: Simplify (- k) into (- k) 5.212 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 5.213 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 5.214 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.215 * [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)))) 5.217 * [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))))) 5.217 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 5.217 * [taylor]: Taking taylor expansion of 1.0 in k 5.217 * [backup-simplify]: Simplify 1.0 into 1.0 5.217 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 5.217 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.217 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.217 * [taylor]: Taking taylor expansion of k in k 5.217 * [backup-simplify]: Simplify 0 into 0 5.217 * [backup-simplify]: Simplify 1 into 1 5.217 * [backup-simplify]: Simplify (/ 1 1) into 1 5.218 * [backup-simplify]: Simplify (sqrt 0) into 0 5.219 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.219 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 5.219 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.219 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.219 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.219 * [taylor]: Taking taylor expansion of 0.5 in k 5.219 * [backup-simplify]: Simplify 0.5 into 0.5 5.219 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.219 * [taylor]: Taking taylor expansion of 1.0 in k 5.219 * [backup-simplify]: Simplify 1.0 into 1.0 5.220 * [taylor]: Taking taylor expansion of k in k 5.220 * [backup-simplify]: Simplify 0 into 0 5.220 * [backup-simplify]: Simplify 1 into 1 5.220 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.220 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.220 * [taylor]: Taking taylor expansion of 2.0 in k 5.220 * [backup-simplify]: Simplify 2.0 into 2.0 5.220 * [taylor]: Taking taylor expansion of (* n PI) in k 5.220 * [taylor]: Taking taylor expansion of n in k 5.220 * [backup-simplify]: Simplify n into n 5.220 * [taylor]: Taking taylor expansion of PI in k 5.220 * [backup-simplify]: Simplify PI into PI 5.220 * [backup-simplify]: Simplify (* n PI) into (* n PI) 5.220 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 5.220 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 5.221 * [backup-simplify]: Simplify (- 0) into 0 5.221 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.221 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.222 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 5.222 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 5.222 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 5.222 * [taylor]: Taking taylor expansion of 1.0 in k 5.222 * [backup-simplify]: Simplify 1.0 into 1.0 5.222 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 5.222 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.222 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.222 * [taylor]: Taking taylor expansion of k in k 5.222 * [backup-simplify]: Simplify 0 into 0 5.222 * [backup-simplify]: Simplify 1 into 1 5.222 * [backup-simplify]: Simplify (/ 1 1) into 1 5.223 * [backup-simplify]: Simplify (sqrt 0) into 0 5.224 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.224 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 5.224 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.224 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.224 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.224 * [taylor]: Taking taylor expansion of 0.5 in k 5.224 * [backup-simplify]: Simplify 0.5 into 0.5 5.224 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.224 * [taylor]: Taking taylor expansion of 1.0 in k 5.224 * [backup-simplify]: Simplify 1.0 into 1.0 5.224 * [taylor]: Taking taylor expansion of k in k 5.225 * [backup-simplify]: Simplify 0 into 0 5.225 * [backup-simplify]: Simplify 1 into 1 5.225 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.225 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.225 * [taylor]: Taking taylor expansion of 2.0 in k 5.225 * [backup-simplify]: Simplify 2.0 into 2.0 5.225 * [taylor]: Taking taylor expansion of (* n PI) in k 5.225 * [taylor]: Taking taylor expansion of n in k 5.225 * [backup-simplify]: Simplify n into n 5.225 * [taylor]: Taking taylor expansion of PI in k 5.225 * [backup-simplify]: Simplify PI into PI 5.225 * [backup-simplify]: Simplify (* n PI) into (* n PI) 5.225 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 5.225 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 5.225 * [backup-simplify]: Simplify (- 0) into 0 5.226 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.231 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.231 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 5.231 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 5.232 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 5.232 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.232 * [taylor]: Taking taylor expansion of 0 in n 5.232 * [backup-simplify]: Simplify 0 into 0 5.232 * [backup-simplify]: Simplify 0 into 0 5.233 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 5.234 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 5.235 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 5.235 * [backup-simplify]: Simplify (- 1) into -1 5.235 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.237 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 5.238 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 5.238 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 5.240 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 5.242 * [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))) 5.242 * [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 5.242 * [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 5.242 * [taylor]: Taking taylor expansion of +nan.0 in n 5.242 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.242 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.243 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.243 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.243 * [taylor]: Taking taylor expansion of 0.5 in n 5.243 * [backup-simplify]: Simplify 0.5 into 0.5 5.243 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.243 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.243 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.243 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.243 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.243 * [taylor]: Taking taylor expansion of 1.0 in n 5.243 * [backup-simplify]: Simplify 1.0 into 1.0 5.243 * [taylor]: Taking taylor expansion of (log PI) in n 5.243 * [taylor]: Taking taylor expansion of PI in n 5.243 * [backup-simplify]: Simplify PI into PI 5.243 * [backup-simplify]: Simplify (log PI) into (log PI) 5.244 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.246 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.246 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.246 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.246 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.246 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.246 * [taylor]: Taking taylor expansion of 1.0 in n 5.246 * [backup-simplify]: Simplify 1.0 into 1.0 5.246 * [taylor]: Taking taylor expansion of (log n) in n 5.246 * [taylor]: Taking taylor expansion of n in n 5.246 * [backup-simplify]: Simplify 0 into 0 5.246 * [backup-simplify]: Simplify 1 into 1 5.247 * [backup-simplify]: Simplify (log 1) into 0 5.247 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.247 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.247 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.248 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.248 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.248 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.248 * [taylor]: Taking taylor expansion of 1.0 in n 5.248 * [backup-simplify]: Simplify 1.0 into 1.0 5.248 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.248 * [taylor]: Taking taylor expansion of 2.0 in n 5.248 * [backup-simplify]: Simplify 2.0 into 2.0 5.248 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.250 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.251 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.252 * [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) 5.254 * [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) 5.255 * [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)) 5.256 * [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))) 5.258 * [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) 5.260 * [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)) 5.261 * [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))) 5.262 * [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))) 5.263 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 5.264 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 5.266 * [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 5.267 * [backup-simplify]: Simplify (- 0) into 0 5.267 * [backup-simplify]: Simplify (+ 0 0) into 0 5.268 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 5.269 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 5.270 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 5.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.274 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.277 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5)))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 5.280 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 5.280 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 5.280 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 5.280 * [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 5.280 * [taylor]: Taking taylor expansion of +nan.0 in n 5.280 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.280 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.280 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.280 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.280 * [taylor]: Taking taylor expansion of 0.5 in n 5.280 * [backup-simplify]: Simplify 0.5 into 0.5 5.280 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.280 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.280 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.280 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.280 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.280 * [taylor]: Taking taylor expansion of 1.0 in n 5.280 * [backup-simplify]: Simplify 1.0 into 1.0 5.280 * [taylor]: Taking taylor expansion of (log PI) in n 5.280 * [taylor]: Taking taylor expansion of PI in n 5.280 * [backup-simplify]: Simplify PI into PI 5.281 * [backup-simplify]: Simplify (log PI) into (log PI) 5.281 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.282 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.282 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.282 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.282 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.282 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.282 * [taylor]: Taking taylor expansion of 1.0 in n 5.282 * [backup-simplify]: Simplify 1.0 into 1.0 5.282 * [taylor]: Taking taylor expansion of (log n) in n 5.282 * [taylor]: Taking taylor expansion of n in n 5.282 * [backup-simplify]: Simplify 0 into 0 5.282 * [backup-simplify]: Simplify 1 into 1 5.283 * [backup-simplify]: Simplify (log 1) into 0 5.283 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.283 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.283 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.283 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.283 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.283 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.283 * [taylor]: Taking taylor expansion of 1.0 in n 5.283 * [backup-simplify]: Simplify 1.0 into 1.0 5.283 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.283 * [taylor]: Taking taylor expansion of 2.0 in n 5.283 * [backup-simplify]: Simplify 2.0 into 2.0 5.283 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.284 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.285 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.285 * [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) 5.286 * [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) 5.287 * [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)) 5.288 * [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))) 5.289 * [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) 5.289 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 5.289 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 5.289 * [taylor]: Taking taylor expansion of +nan.0 in n 5.289 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.289 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 5.289 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 5.289 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 5.289 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 5.289 * [taylor]: Taking taylor expansion of 0.5 in n 5.289 * [backup-simplify]: Simplify 0.5 into 0.5 5.289 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 5.289 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 5.289 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.289 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.289 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.289 * [taylor]: Taking taylor expansion of 1.0 in n 5.289 * [backup-simplify]: Simplify 1.0 into 1.0 5.289 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.289 * [taylor]: Taking taylor expansion of 2.0 in n 5.289 * [backup-simplify]: Simplify 2.0 into 2.0 5.289 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.290 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.291 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.291 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 5.291 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.291 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.291 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.291 * [taylor]: Taking taylor expansion of 1.0 in n 5.291 * [backup-simplify]: Simplify 1.0 into 1.0 5.291 * [taylor]: Taking taylor expansion of (log PI) in n 5.291 * [taylor]: Taking taylor expansion of PI in n 5.291 * [backup-simplify]: Simplify PI into PI 5.291 * [backup-simplify]: Simplify (log PI) into (log PI) 5.292 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.293 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.293 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.293 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.293 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.293 * [taylor]: Taking taylor expansion of 1.0 in n 5.293 * [backup-simplify]: Simplify 1.0 into 1.0 5.293 * [taylor]: Taking taylor expansion of (log n) in n 5.293 * [taylor]: Taking taylor expansion of n in n 5.293 * [backup-simplify]: Simplify 0 into 0 5.293 * [backup-simplify]: Simplify 1 into 1 5.293 * [backup-simplify]: Simplify (log 1) into 0 5.294 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.294 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.294 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.294 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 5.295 * [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) 5.296 * [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)) 5.297 * [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))) 5.298 * [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) 5.298 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.298 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.298 * [taylor]: Taking taylor expansion of 2.0 in n 5.298 * [backup-simplify]: Simplify 2.0 into 2.0 5.298 * [taylor]: Taking taylor expansion of (* n PI) in n 5.298 * [taylor]: Taking taylor expansion of n in n 5.298 * [backup-simplify]: Simplify 0 into 0 5.298 * [backup-simplify]: Simplify 1 into 1 5.298 * [taylor]: Taking taylor expansion of PI in n 5.298 * [backup-simplify]: Simplify PI into PI 5.298 * [backup-simplify]: Simplify (* 0 PI) into 0 5.298 * [backup-simplify]: Simplify (* 2.0 0) into 0 5.299 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.300 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 5.301 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.302 * [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)) 5.303 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.305 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 5.308 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 5.311 * [backup-simplify]: Simplify (- (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 5.317 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 5.323 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 5.329 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 5.331 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 5.332 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 5.333 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 5.335 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.335 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.336 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 5.337 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 5.338 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 5.339 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 5.340 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 5.342 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 5.344 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 5.346 * [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 5.348 * [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 5.350 * [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 5.352 * [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 5.353 * [backup-simplify]: Simplify (- 0) into 0 5.353 * [backup-simplify]: Simplify 0 into 0 5.353 * [backup-simplify]: Simplify 0 into 0 5.354 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.355 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 5.358 * [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 5.359 * [backup-simplify]: Simplify (- 0) into 0 5.359 * [backup-simplify]: Simplify (+ 0 0) into 0 5.361 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 5.362 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 5.364 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 5.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.381 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 5.393 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 5.393 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 5.393 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 5.393 * [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 5.393 * [taylor]: Taking taylor expansion of +nan.0 in n 5.393 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.393 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 5.393 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 5.393 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 5.393 * [taylor]: Taking taylor expansion of 0.5 in n 5.393 * [backup-simplify]: Simplify 0.5 into 0.5 5.393 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 5.393 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 5.393 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.394 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.394 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.394 * [taylor]: Taking taylor expansion of 1.0 in n 5.394 * [backup-simplify]: Simplify 1.0 into 1.0 5.394 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.394 * [taylor]: Taking taylor expansion of 2.0 in n 5.394 * [backup-simplify]: Simplify 2.0 into 2.0 5.394 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.395 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.397 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.397 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.397 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.397 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.397 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.397 * [taylor]: Taking taylor expansion of 1.0 in n 5.397 * [backup-simplify]: Simplify 1.0 into 1.0 5.397 * [taylor]: Taking taylor expansion of (log n) in n 5.397 * [taylor]: Taking taylor expansion of n in n 5.397 * [backup-simplify]: Simplify 0 into 0 5.397 * [backup-simplify]: Simplify 1 into 1 5.398 * [backup-simplify]: Simplify (log 1) into 0 5.398 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.398 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.399 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.399 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.399 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.399 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.399 * [taylor]: Taking taylor expansion of 1.0 in n 5.399 * [backup-simplify]: Simplify 1.0 into 1.0 5.399 * [taylor]: Taking taylor expansion of (log PI) in n 5.399 * [taylor]: Taking taylor expansion of PI in n 5.399 * [backup-simplify]: Simplify PI into PI 5.399 * [backup-simplify]: Simplify (log PI) into (log PI) 5.400 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.402 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.403 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 5.404 * [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) 5.405 * [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)) 5.407 * [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))) 5.408 * [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) 5.408 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 5.408 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 5.408 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 5.408 * [taylor]: Taking taylor expansion of +nan.0 in n 5.408 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.408 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 5.408 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 5.408 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 5.409 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 5.409 * [taylor]: Taking taylor expansion of 0.5 in n 5.409 * [backup-simplify]: Simplify 0.5 into 0.5 5.409 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 5.409 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 5.409 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.409 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.409 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.409 * [taylor]: Taking taylor expansion of 1.0 in n 5.409 * [backup-simplify]: Simplify 1.0 into 1.0 5.409 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.409 * [taylor]: Taking taylor expansion of 2.0 in n 5.409 * [backup-simplify]: Simplify 2.0 into 2.0 5.409 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.410 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.412 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.412 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 5.412 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.412 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.412 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.412 * [taylor]: Taking taylor expansion of 1.0 in n 5.412 * [backup-simplify]: Simplify 1.0 into 1.0 5.412 * [taylor]: Taking taylor expansion of (log PI) in n 5.412 * [taylor]: Taking taylor expansion of PI in n 5.412 * [backup-simplify]: Simplify PI into PI 5.413 * [backup-simplify]: Simplify (log PI) into (log PI) 5.414 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.415 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.415 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.415 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.415 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.415 * [taylor]: Taking taylor expansion of 1.0 in n 5.415 * [backup-simplify]: Simplify 1.0 into 1.0 5.415 * [taylor]: Taking taylor expansion of (log n) in n 5.415 * [taylor]: Taking taylor expansion of n in n 5.415 * [backup-simplify]: Simplify 0 into 0 5.415 * [backup-simplify]: Simplify 1 into 1 5.416 * [backup-simplify]: Simplify (log 1) into 0 5.416 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.416 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.417 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.417 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 5.418 * [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) 5.420 * [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)) 5.422 * [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))) 5.423 * [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) 5.423 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.423 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.423 * [taylor]: Taking taylor expansion of 2.0 in n 5.423 * [backup-simplify]: Simplify 2.0 into 2.0 5.423 * [taylor]: Taking taylor expansion of (* n PI) in n 5.423 * [taylor]: Taking taylor expansion of n in n 5.423 * [backup-simplify]: Simplify 0 into 0 5.423 * [backup-simplify]: Simplify 1 into 1 5.423 * [taylor]: Taking taylor expansion of PI in n 5.423 * [backup-simplify]: Simplify PI into PI 5.424 * [backup-simplify]: Simplify (* 0 PI) into 0 5.424 * [backup-simplify]: Simplify (* 2.0 0) into 0 5.426 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.428 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 5.429 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.429 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 5.429 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 5.429 * [taylor]: Taking taylor expansion of +nan.0 in n 5.429 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.429 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 5.429 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 5.429 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 5.429 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 5.429 * [taylor]: Taking taylor expansion of 0.5 in n 5.429 * [backup-simplify]: Simplify 0.5 into 0.5 5.429 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 5.429 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 5.429 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.429 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.429 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.429 * [taylor]: Taking taylor expansion of 1.0 in n 5.429 * [backup-simplify]: Simplify 1.0 into 1.0 5.429 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.429 * [taylor]: Taking taylor expansion of 2.0 in n 5.429 * [backup-simplify]: Simplify 2.0 into 2.0 5.430 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.431 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.432 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.432 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 5.432 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.432 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.432 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.432 * [taylor]: Taking taylor expansion of 1.0 in n 5.433 * [backup-simplify]: Simplify 1.0 into 1.0 5.433 * [taylor]: Taking taylor expansion of (log PI) in n 5.433 * [taylor]: Taking taylor expansion of PI in n 5.433 * [backup-simplify]: Simplify PI into PI 5.433 * [backup-simplify]: Simplify (log PI) into (log PI) 5.434 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.436 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.436 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.436 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.436 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.436 * [taylor]: Taking taylor expansion of 1.0 in n 5.436 * [backup-simplify]: Simplify 1.0 into 1.0 5.436 * [taylor]: Taking taylor expansion of (log n) in n 5.436 * [taylor]: Taking taylor expansion of n in n 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify 1 into 1 5.437 * [backup-simplify]: Simplify (log 1) into 0 5.437 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.437 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.437 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.438 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 5.439 * [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) 5.441 * [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)) 5.442 * [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))) 5.444 * [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) 5.444 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 5.444 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.444 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.444 * [taylor]: Taking taylor expansion of 2.0 in n 5.444 * [backup-simplify]: Simplify 2.0 into 2.0 5.444 * [taylor]: Taking taylor expansion of (* n PI) in n 5.444 * [taylor]: Taking taylor expansion of n in n 5.444 * [backup-simplify]: Simplify 0 into 0 5.444 * [backup-simplify]: Simplify 1 into 1 5.444 * [taylor]: Taking taylor expansion of PI in n 5.444 * [backup-simplify]: Simplify PI into PI 5.445 * [backup-simplify]: Simplify (* 0 PI) into 0 5.445 * [backup-simplify]: Simplify (* 2.0 0) into 0 5.447 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.448 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 5.449 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.451 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.453 * [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)) 5.455 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.457 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 5.460 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 5.461 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.463 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.465 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 5.468 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 5.471 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 5.474 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 5.487 * [backup-simplify]: Simplify (+ (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 5.496 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))) 5.505 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 5.519 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 5.530 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 5.559 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) 5.560 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) 5.560 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 5.560 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 5.560 * [taylor]: Taking taylor expansion of 1.0 in n 5.560 * [backup-simplify]: Simplify 1.0 into 1.0 5.560 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 5.560 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.560 * [taylor]: Taking taylor expansion of k in n 5.560 * [backup-simplify]: Simplify k into k 5.560 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 5.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 5.561 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.561 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.561 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.561 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.561 * [taylor]: Taking taylor expansion of 0.5 in n 5.561 * [backup-simplify]: Simplify 0.5 into 0.5 5.561 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.561 * [taylor]: Taking taylor expansion of 1.0 in n 5.561 * [backup-simplify]: Simplify 1.0 into 1.0 5.561 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.561 * [taylor]: Taking taylor expansion of k in n 5.561 * [backup-simplify]: Simplify k into k 5.561 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.561 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.561 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.561 * [taylor]: Taking taylor expansion of 2.0 in n 5.561 * [backup-simplify]: Simplify 2.0 into 2.0 5.561 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.561 * [taylor]: Taking taylor expansion of PI in n 5.561 * [backup-simplify]: Simplify PI into PI 5.561 * [taylor]: Taking taylor expansion of n in n 5.561 * [backup-simplify]: Simplify 0 into 0 5.561 * [backup-simplify]: Simplify 1 into 1 5.562 * [backup-simplify]: Simplify (/ PI 1) into PI 5.562 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.564 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.564 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.564 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.564 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 5.566 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.567 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 5.568 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 5.568 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 5.568 * [taylor]: Taking taylor expansion of 1.0 in k 5.568 * [backup-simplify]: Simplify 1.0 into 1.0 5.568 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.568 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.568 * [taylor]: Taking taylor expansion of k in k 5.568 * [backup-simplify]: Simplify 0 into 0 5.568 * [backup-simplify]: Simplify 1 into 1 5.568 * [backup-simplify]: Simplify (sqrt 0) into 0 5.569 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.569 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.569 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.569 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.569 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.569 * [taylor]: Taking taylor expansion of 0.5 in k 5.569 * [backup-simplify]: Simplify 0.5 into 0.5 5.569 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.569 * [taylor]: Taking taylor expansion of 1.0 in k 5.569 * [backup-simplify]: Simplify 1.0 into 1.0 5.569 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.570 * [taylor]: Taking taylor expansion of k in k 5.570 * [backup-simplify]: Simplify 0 into 0 5.570 * [backup-simplify]: Simplify 1 into 1 5.570 * [backup-simplify]: Simplify (/ 1 1) into 1 5.570 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.570 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.570 * [taylor]: Taking taylor expansion of 2.0 in k 5.570 * [backup-simplify]: Simplify 2.0 into 2.0 5.570 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.570 * [taylor]: Taking taylor expansion of PI in k 5.570 * [backup-simplify]: Simplify PI into PI 5.570 * [taylor]: Taking taylor expansion of n in k 5.570 * [backup-simplify]: Simplify n into n 5.570 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.570 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 5.570 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 5.571 * [backup-simplify]: Simplify (- 1) into -1 5.571 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.571 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.571 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 5.571 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 5.571 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 5.571 * [taylor]: Taking taylor expansion of 1.0 in k 5.571 * [backup-simplify]: Simplify 1.0 into 1.0 5.571 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.571 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.572 * [taylor]: Taking taylor expansion of k in k 5.572 * [backup-simplify]: Simplify 0 into 0 5.572 * [backup-simplify]: Simplify 1 into 1 5.572 * [backup-simplify]: Simplify (sqrt 0) into 0 5.573 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.573 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.573 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.573 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.573 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.573 * [taylor]: Taking taylor expansion of 0.5 in k 5.573 * [backup-simplify]: Simplify 0.5 into 0.5 5.573 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.573 * [taylor]: Taking taylor expansion of 1.0 in k 5.573 * [backup-simplify]: Simplify 1.0 into 1.0 5.573 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.573 * [taylor]: Taking taylor expansion of k in k 5.573 * [backup-simplify]: Simplify 0 into 0 5.573 * [backup-simplify]: Simplify 1 into 1 5.573 * [backup-simplify]: Simplify (/ 1 1) into 1 5.573 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.573 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.573 * [taylor]: Taking taylor expansion of 2.0 in k 5.573 * [backup-simplify]: Simplify 2.0 into 2.0 5.573 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.573 * [taylor]: Taking taylor expansion of PI in k 5.573 * [backup-simplify]: Simplify PI into PI 5.573 * [taylor]: Taking taylor expansion of n in k 5.573 * [backup-simplify]: Simplify n into n 5.573 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.573 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 5.573 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 5.574 * [backup-simplify]: Simplify (- 1) into -1 5.574 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.574 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.574 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 5.574 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 5.575 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 5.575 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.575 * [taylor]: Taking taylor expansion of 0 in n 5.575 * [backup-simplify]: Simplify 0 into 0 5.575 * [backup-simplify]: Simplify 0 into 0 5.575 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 5.576 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 5.576 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 5.576 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 5.576 * [taylor]: Taking taylor expansion of +nan.0 in n 5.576 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.576 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 5.576 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 5.576 * [taylor]: Taking taylor expansion of 0.5 in n 5.576 * [backup-simplify]: Simplify 0.5 into 0.5 5.576 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 5.576 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.576 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.576 * [taylor]: Taking taylor expansion of 2.0 in n 5.576 * [backup-simplify]: Simplify 2.0 into 2.0 5.576 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.576 * [taylor]: Taking taylor expansion of PI in n 5.576 * [backup-simplify]: Simplify PI into PI 5.576 * [taylor]: Taking taylor expansion of n in n 5.576 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify 1 into 1 5.577 * [backup-simplify]: Simplify (/ PI 1) into PI 5.577 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.578 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.578 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.578 * [taylor]: Taking taylor expansion of 1.0 in n 5.578 * [backup-simplify]: Simplify 1.0 into 1.0 5.578 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.578 * [taylor]: Taking taylor expansion of k in n 5.578 * [backup-simplify]: Simplify k into k 5.578 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.579 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.579 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.579 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.580 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 5.581 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 5.581 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 5.582 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 5.583 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 5.584 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 5.584 * [backup-simplify]: Simplify 0 into 0 5.586 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 5.587 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 5.587 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 5.588 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 5.588 * [taylor]: Taking taylor expansion of +nan.0 in n 5.588 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.588 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 5.588 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 5.588 * [taylor]: Taking taylor expansion of 0.5 in n 5.588 * [backup-simplify]: Simplify 0.5 into 0.5 5.588 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 5.588 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.588 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.588 * [taylor]: Taking taylor expansion of 2.0 in n 5.588 * [backup-simplify]: Simplify 2.0 into 2.0 5.588 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.588 * [taylor]: Taking taylor expansion of PI in n 5.588 * [backup-simplify]: Simplify PI into PI 5.588 * [taylor]: Taking taylor expansion of n in n 5.588 * [backup-simplify]: Simplify 0 into 0 5.588 * [backup-simplify]: Simplify 1 into 1 5.588 * [backup-simplify]: Simplify (/ PI 1) into PI 5.588 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.589 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.589 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.589 * [taylor]: Taking taylor expansion of 1.0 in n 5.589 * [backup-simplify]: Simplify 1.0 into 1.0 5.589 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.589 * [taylor]: Taking taylor expansion of k in n 5.589 * [backup-simplify]: Simplify k into k 5.589 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.590 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.590 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.590 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.591 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 5.592 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 5.593 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 5.594 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 5.594 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 5.595 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 5.597 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.597 * [backup-simplify]: Simplify (- 0) into 0 5.598 * [backup-simplify]: Simplify (+ 0 0) into 0 5.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.600 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.601 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 5.603 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 5.605 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 5.607 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.609 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 5.609 * [backup-simplify]: Simplify (- 0) into 0 5.609 * [backup-simplify]: Simplify 0 into 0 5.609 * [backup-simplify]: Simplify 0 into 0 5.613 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.615 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 5.616 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 5.616 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 5.617 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 5.617 * [taylor]: Taking taylor expansion of +nan.0 in n 5.617 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.617 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 5.617 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 5.617 * [taylor]: Taking taylor expansion of 0.5 in n 5.617 * [backup-simplify]: Simplify 0.5 into 0.5 5.617 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 5.617 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.617 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.617 * [taylor]: Taking taylor expansion of 2.0 in n 5.617 * [backup-simplify]: Simplify 2.0 into 2.0 5.617 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.617 * [taylor]: Taking taylor expansion of PI in n 5.617 * [backup-simplify]: Simplify PI into PI 5.617 * [taylor]: Taking taylor expansion of n in n 5.617 * [backup-simplify]: Simplify 0 into 0 5.617 * [backup-simplify]: Simplify 1 into 1 5.618 * [backup-simplify]: Simplify (/ PI 1) into PI 5.618 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.619 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.619 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.619 * [taylor]: Taking taylor expansion of 1.0 in n 5.619 * [backup-simplify]: Simplify 1.0 into 1.0 5.619 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.619 * [taylor]: Taking taylor expansion of k in n 5.619 * [backup-simplify]: Simplify k into k 5.619 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.621 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.621 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.621 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.622 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 5.623 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 5.624 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 5.625 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 5.626 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 5.627 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 5.630 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) 5.630 * [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)))) 5.630 * [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 5.630 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 5.630 * [taylor]: Taking taylor expansion of 1.0 in n 5.630 * [backup-simplify]: Simplify 1.0 into 1.0 5.630 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 5.630 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.630 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.630 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.630 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.630 * [taylor]: Taking taylor expansion of 0.5 in n 5.630 * [backup-simplify]: Simplify 0.5 into 0.5 5.630 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.631 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.631 * [taylor]: Taking taylor expansion of k in n 5.631 * [backup-simplify]: Simplify k into k 5.631 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.631 * [taylor]: Taking taylor expansion of 1.0 in n 5.631 * [backup-simplify]: Simplify 1.0 into 1.0 5.631 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.631 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.631 * [taylor]: Taking taylor expansion of -2.0 in n 5.631 * [backup-simplify]: Simplify -2.0 into -2.0 5.631 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.631 * [taylor]: Taking taylor expansion of PI in n 5.631 * [backup-simplify]: Simplify PI into PI 5.631 * [taylor]: Taking taylor expansion of n in n 5.631 * [backup-simplify]: Simplify 0 into 0 5.631 * [backup-simplify]: Simplify 1 into 1 5.631 * [backup-simplify]: Simplify (/ PI 1) into PI 5.631 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.632 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.632 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.632 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 5.633 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.634 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 5.638 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 5.638 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.638 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.638 * [taylor]: Taking taylor expansion of -1 in n 5.638 * [backup-simplify]: Simplify -1 into -1 5.638 * [taylor]: Taking taylor expansion of k in n 5.638 * [backup-simplify]: Simplify k into k 5.638 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 5.638 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 5.639 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 5.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 5.639 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) 5.640 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 5.640 * [taylor]: Taking taylor expansion of 1.0 in k 5.640 * [backup-simplify]: Simplify 1.0 into 1.0 5.640 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.640 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.640 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.640 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.640 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.640 * [taylor]: Taking taylor expansion of 0.5 in k 5.640 * [backup-simplify]: Simplify 0.5 into 0.5 5.640 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.640 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.640 * [taylor]: Taking taylor expansion of k in k 5.640 * [backup-simplify]: Simplify 0 into 0 5.640 * [backup-simplify]: Simplify 1 into 1 5.640 * [backup-simplify]: Simplify (/ 1 1) into 1 5.640 * [taylor]: Taking taylor expansion of 1.0 in k 5.640 * [backup-simplify]: Simplify 1.0 into 1.0 5.640 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.640 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.640 * [taylor]: Taking taylor expansion of -2.0 in k 5.640 * [backup-simplify]: Simplify -2.0 into -2.0 5.640 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.640 * [taylor]: Taking taylor expansion of PI in k 5.640 * [backup-simplify]: Simplify PI into PI 5.640 * [taylor]: Taking taylor expansion of n in k 5.640 * [backup-simplify]: Simplify n into n 5.640 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.640 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 5.640 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 5.641 * [backup-simplify]: Simplify (+ 1 0) into 1 5.641 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.641 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 5.642 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 5.642 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.642 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.642 * [taylor]: Taking taylor expansion of -1 in k 5.642 * [backup-simplify]: Simplify -1 into -1 5.642 * [taylor]: Taking taylor expansion of k in k 5.642 * [backup-simplify]: Simplify 0 into 0 5.642 * [backup-simplify]: Simplify 1 into 1 5.642 * [backup-simplify]: Simplify (/ -1 1) into -1 5.642 * [backup-simplify]: Simplify (sqrt 0) into 0 5.643 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.643 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 5.643 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 5.643 * [taylor]: Taking taylor expansion of 1.0 in k 5.643 * [backup-simplify]: Simplify 1.0 into 1.0 5.643 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.643 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.643 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.643 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.644 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.644 * [taylor]: Taking taylor expansion of 0.5 in k 5.644 * [backup-simplify]: Simplify 0.5 into 0.5 5.644 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.644 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.644 * [taylor]: Taking taylor expansion of k in k 5.644 * [backup-simplify]: Simplify 0 into 0 5.644 * [backup-simplify]: Simplify 1 into 1 5.644 * [backup-simplify]: Simplify (/ 1 1) into 1 5.644 * [taylor]: Taking taylor expansion of 1.0 in k 5.644 * [backup-simplify]: Simplify 1.0 into 1.0 5.644 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.644 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.644 * [taylor]: Taking taylor expansion of -2.0 in k 5.644 * [backup-simplify]: Simplify -2.0 into -2.0 5.644 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.644 * [taylor]: Taking taylor expansion of PI in k 5.644 * [backup-simplify]: Simplify PI into PI 5.644 * [taylor]: Taking taylor expansion of n in k 5.644 * [backup-simplify]: Simplify n into n 5.644 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.644 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 5.644 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 5.645 * [backup-simplify]: Simplify (+ 1 0) into 1 5.645 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.645 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 5.645 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 5.645 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.645 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.645 * [taylor]: Taking taylor expansion of -1 in k 5.645 * [backup-simplify]: Simplify -1 into -1 5.645 * [taylor]: Taking taylor expansion of k in k 5.645 * [backup-simplify]: Simplify 0 into 0 5.645 * [backup-simplify]: Simplify 1 into 1 5.645 * [backup-simplify]: Simplify (/ -1 1) into -1 5.646 * [backup-simplify]: Simplify (sqrt 0) into 0 5.647 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.647 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 5.647 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 5.647 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.647 * [taylor]: Taking taylor expansion of +nan.0 in n 5.647 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.647 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.647 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.647 * [taylor]: Taking taylor expansion of 0.5 in n 5.647 * [backup-simplify]: Simplify 0.5 into 0.5 5.647 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.647 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.647 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.647 * [taylor]: Taking taylor expansion of k in n 5.647 * [backup-simplify]: Simplify k into k 5.647 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.647 * [taylor]: Taking taylor expansion of 1.0 in n 5.647 * [backup-simplify]: Simplify 1.0 into 1.0 5.647 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.647 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.647 * [taylor]: Taking taylor expansion of -2.0 in n 5.647 * [backup-simplify]: Simplify -2.0 into -2.0 5.647 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.647 * [taylor]: Taking taylor expansion of PI in n 5.647 * [backup-simplify]: Simplify PI into PI 5.648 * [taylor]: Taking taylor expansion of n in n 5.648 * [backup-simplify]: Simplify 0 into 0 5.648 * [backup-simplify]: Simplify 1 into 1 5.648 * [backup-simplify]: Simplify (/ PI 1) into PI 5.648 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.649 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.649 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.650 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.651 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 5.652 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 5.652 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 5.653 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 5.654 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 5.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.656 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.657 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 5.657 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 5.657 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 5.657 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.657 * [taylor]: Taking taylor expansion of +nan.0 in n 5.658 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.658 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.658 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.658 * [taylor]: Taking taylor expansion of 0.5 in n 5.658 * [backup-simplify]: Simplify 0.5 into 0.5 5.658 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.658 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.658 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.658 * [taylor]: Taking taylor expansion of k in n 5.658 * [backup-simplify]: Simplify k into k 5.658 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.658 * [taylor]: Taking taylor expansion of 1.0 in n 5.658 * [backup-simplify]: Simplify 1.0 into 1.0 5.658 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.658 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.658 * [taylor]: Taking taylor expansion of -2.0 in n 5.658 * [backup-simplify]: Simplify -2.0 into -2.0 5.658 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.658 * [taylor]: Taking taylor expansion of PI in n 5.658 * [backup-simplify]: Simplify PI into PI 5.658 * [taylor]: Taking taylor expansion of n in n 5.658 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify 1 into 1 5.658 * [backup-simplify]: Simplify (/ PI 1) into PI 5.659 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.659 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.659 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.660 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.661 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 5.662 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 5.662 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 5.663 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 5.664 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 5.665 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 5.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.666 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 5.667 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 5.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.667 * [backup-simplify]: Simplify (+ 0 0) into 0 5.668 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.669 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 5.670 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 5.671 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.672 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 5.672 * [backup-simplify]: Simplify 0 into 0 5.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.676 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 5.677 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 5.677 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 5.677 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.677 * [taylor]: Taking taylor expansion of +nan.0 in n 5.677 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.677 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.677 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.677 * [taylor]: Taking taylor expansion of 0.5 in n 5.677 * [backup-simplify]: Simplify 0.5 into 0.5 5.677 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.677 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.677 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.677 * [taylor]: Taking taylor expansion of k in n 5.677 * [backup-simplify]: Simplify k into k 5.677 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.677 * [taylor]: Taking taylor expansion of 1.0 in n 5.677 * [backup-simplify]: Simplify 1.0 into 1.0 5.677 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.677 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.677 * [taylor]: Taking taylor expansion of -2.0 in n 5.677 * [backup-simplify]: Simplify -2.0 into -2.0 5.677 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.677 * [taylor]: Taking taylor expansion of PI in n 5.677 * [backup-simplify]: Simplify PI into PI 5.677 * [taylor]: Taking taylor expansion of n in n 5.677 * [backup-simplify]: Simplify 0 into 0 5.677 * [backup-simplify]: Simplify 1 into 1 5.678 * [backup-simplify]: Simplify (/ PI 1) into PI 5.678 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.679 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.679 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.680 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.681 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 5.681 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 5.682 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 5.683 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 5.684 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 5.685 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 5.688 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 5.688 * * * [progress]: simplifying candidates 5.690 * [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 (/ 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 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (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)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 5.695 * * [simplify]: Extracting # 0 : cost 0 5.695 * * [simplify]: Extracting # 1 : cost 0 5.696 * * [simplify]: Extracting # 2 : cost 0 5.696 * * [simplify]: Extracting # 3 : cost 0 5.696 * * [simplify]: Extracting # 4 : cost 0 5.697 * * [simplify]: Extracting # 5 : cost 0 5.697 * * [simplify]: Extracting # 6 : cost 0 5.698 * * [simplify]: Extracting # 7 : cost 0 5.699 * * [simplify]: Extracting # 8 : cost 0 5.699 * * [simplify]: Extracting # 9 : cost 0 5.700 * * [simplify]: Extracting # 10 : cost 0 5.701 * * [simplify]: Extracting # 11 : cost 0 5.701 * * [simplify]: Extracting # 12 : cost 0 5.702 * * [simplify]: Extracting # 13 : cost 0 5.702 * * [simplify]: Extracting # 14 : cost 0 5.703 * * [simplify]: Extracting # 15 : cost 0 5.704 * * [simplify]: Extracting # 16 : cost 0 5.705 * * [simplify]: Extracting # 17 : cost 0 5.706 * * [simplify]: Extracting # 18 : cost 0 5.707 * * [simplify]: Extracting # 19 : cost 0 5.708 * * [simplify]: Extracting # 20 : cost 0 5.709 * * [simplify]: Extracting # 21 : cost 0 5.711 * * [simplify]: Extracting # 22 : cost 0 5.711 * * [simplify]: Extracting # 23 : cost 0 5.712 * * [simplify]: Extracting # 24 : cost 0 5.713 * * [simplify]: Extracting # 25 : cost 0 5.713 * * [simplify]: Extracting # 26 : cost 0 5.714 * * [simplify]: Extracting # 27 : cost 0 5.714 * * [simplify]: Extracting # 28 : cost 0 5.715 * * [simplify]: Extracting # 29 : cost 0 5.715 * * [simplify]: Extracting # 30 : cost 0 5.716 * * [simplify]: Extracting # 31 : cost 0 5.717 * * [simplify]: Extracting # 32 : cost 0 5.721 * * [simplify]: iteration 0 : 369 enodes (cost 2880 ) 5.853 * * [simplify]: Extracting # 0 : cost 0 5.856 * * [simplify]: Extracting # 1 : cost 0 5.859 * * [simplify]: Extracting # 2 : cost 0 5.861 * * [simplify]: Extracting # 3 : cost 0 5.864 * * [simplify]: Extracting # 4 : cost 0 5.866 * * [simplify]: Extracting # 5 : cost 0 5.869 * * [simplify]: Extracting # 6 : cost 0 5.872 * * [simplify]: iteration 1 : 961 enodes (cost 2712 ) 6.528 * * [simplify]: Extracting # 0 : cost 0 6.535 * * [simplify]: Extracting # 1 : cost 0 6.544 * * [simplify]: Extracting # 2 : cost 0 6.552 * * [simplify]: Extracting # 3 : cost 0 6.560 * * [simplify]: Extracting # 4 : cost 0 6.568 * * [simplify]: Extracting # 5 : cost 0 6.576 * * [simplify]: iteration 2 : 3131 enodes (cost 2550 ) 8.103 * * [simplify]: Extracting # 0 : cost 0 8.111 * * [simplify]: Extracting # 1 : cost 0 8.118 * * [simplify]: Extracting # 2 : cost 0 8.130 * * [simplify]: Extracting # 3 : cost 0 8.142 * * [simplify]: Extracting # 4 : cost 0 8.160 * * [simplify]: iteration done: 5000 enodes (cost 2540 ) 8.162 * [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))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 (* n PI)) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (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))) (* n (* 2.0 PI)) (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))) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (pow (* n (* 2.0 PI)) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* n (* 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))) (/ (/ (pow 1.0 3) k) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (log (* n (* 2.0 PI))) (log (* n (* 2.0 PI))) (log (* n (* 2.0 PI))) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (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)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (/ (/ (pow 1.0 3) k) (sqrt k))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fma (- 0.5) (* k (fma (log (* 2.0 PI)) (pow (* 2.0 (* n PI)) 0.5) (* (log n) (pow (* 2.0 (* n PI)) 0.5)))) (fma (* 0.125 (pow k 2)) (fma (pow (log (* 2.0 PI)) 2) (pow (* 2.0 (* n PI)) 0.5) (* (pow (* 2.0 (* n PI)) 0.5) (pow (log n) 2))) (fma 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* 2.0 (* n PI)) 0.5)) (pow (* 2.0 (* n PI)) 0.5)))) (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (pow (exp (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))) 0.5) (- (- (fma k +nan.0 +nan.0) (* (* +nan.0 k) k))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3))))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) +nan.0))) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (fma (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (- (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (fma (* (pow k 2) (log (* 2.0 PI))) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) +nan.0) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (fma (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) +nan.0 (fma +nan.0 (- (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) +nan.0 (- (* +nan.0 (- (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) (* (* +nan.0 (* k (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (fma +nan.0 (- (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) k) (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (pow k 2))) (- (/ +nan.0 (/ (pow k 3) (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)))))) (fma (- +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)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 8.163 * * * [progress]: adding candidates to table 8.818 * * [progress]: iteration 2 / 4 8.818 * * * [progress]: picking best candidate 8.848 * * * * [pick]: Picked # 8.849 * * * [progress]: localizing error 8.876 * * * [progress]: generating rewritten candidates 8.877 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.908 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 8.916 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 8.948 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 9.019 * * * [progress]: generating series expansions 9.019 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 9.020 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 9.020 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 9.020 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 9.020 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 9.020 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 9.021 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.021 * [taylor]: Taking taylor expansion of 0.5 in k 9.021 * [backup-simplify]: Simplify 0.5 into 0.5 9.021 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.021 * [taylor]: Taking taylor expansion of 1.0 in k 9.021 * [backup-simplify]: Simplify 1.0 into 1.0 9.021 * [taylor]: Taking taylor expansion of k in k 9.021 * [backup-simplify]: Simplify 0 into 0 9.021 * [backup-simplify]: Simplify 1 into 1 9.021 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 9.021 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 9.021 * [taylor]: Taking taylor expansion of 2.0 in k 9.021 * [backup-simplify]: Simplify 2.0 into 2.0 9.021 * [taylor]: Taking taylor expansion of (* n PI) in k 9.021 * [taylor]: Taking taylor expansion of n in k 9.021 * [backup-simplify]: Simplify n into n 9.021 * [taylor]: Taking taylor expansion of PI in k 9.021 * [backup-simplify]: Simplify PI into PI 9.021 * [backup-simplify]: Simplify (* n PI) into (* n PI) 9.021 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 9.021 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 9.022 * [backup-simplify]: Simplify (- 0) into 0 9.022 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.023 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.023 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 9.023 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 9.023 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 9.023 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 9.023 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 9.023 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 9.023 * [taylor]: Taking taylor expansion of 0.5 in n 9.023 * [backup-simplify]: Simplify 0.5 into 0.5 9.023 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.023 * [taylor]: Taking taylor expansion of 1.0 in n 9.023 * [backup-simplify]: Simplify 1.0 into 1.0 9.023 * [taylor]: Taking taylor expansion of k in n 9.023 * [backup-simplify]: Simplify k into k 9.023 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.023 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.023 * [taylor]: Taking taylor expansion of 2.0 in n 9.023 * [backup-simplify]: Simplify 2.0 into 2.0 9.023 * [taylor]: Taking taylor expansion of (* n PI) in n 9.023 * [taylor]: Taking taylor expansion of n in n 9.023 * [backup-simplify]: Simplify 0 into 0 9.023 * [backup-simplify]: Simplify 1 into 1 9.023 * [taylor]: Taking taylor expansion of PI in n 9.023 * [backup-simplify]: Simplify PI into PI 9.024 * [backup-simplify]: Simplify (* 0 PI) into 0 9.024 * [backup-simplify]: Simplify (* 2.0 0) into 0 9.025 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.026 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 9.026 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.027 * [backup-simplify]: Simplify (- k) into (- k) 9.027 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 9.027 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 9.027 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.028 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 9.029 * [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))))) 9.029 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 9.029 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 9.029 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 9.029 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 9.029 * [taylor]: Taking taylor expansion of 0.5 in n 9.029 * [backup-simplify]: Simplify 0.5 into 0.5 9.029 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.029 * [taylor]: Taking taylor expansion of 1.0 in n 9.029 * [backup-simplify]: Simplify 1.0 into 1.0 9.029 * [taylor]: Taking taylor expansion of k in n 9.029 * [backup-simplify]: Simplify k into k 9.029 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.029 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.029 * [taylor]: Taking taylor expansion of 2.0 in n 9.029 * [backup-simplify]: Simplify 2.0 into 2.0 9.029 * [taylor]: Taking taylor expansion of (* n PI) in n 9.029 * [taylor]: Taking taylor expansion of n in n 9.029 * [backup-simplify]: Simplify 0 into 0 9.029 * [backup-simplify]: Simplify 1 into 1 9.029 * [taylor]: Taking taylor expansion of PI in n 9.029 * [backup-simplify]: Simplify PI into PI 9.030 * [backup-simplify]: Simplify (* 0 PI) into 0 9.030 * [backup-simplify]: Simplify (* 2.0 0) into 0 9.031 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.032 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 9.032 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.032 * [backup-simplify]: Simplify (- k) into (- k) 9.032 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 9.032 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 9.033 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.034 * [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)))) 9.035 * [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))))) 9.035 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 9.035 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 9.035 * [taylor]: Taking taylor expansion of 0.5 in k 9.035 * [backup-simplify]: Simplify 0.5 into 0.5 9.035 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 9.035 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.035 * [taylor]: Taking taylor expansion of 1.0 in k 9.035 * [backup-simplify]: Simplify 1.0 into 1.0 9.035 * [taylor]: Taking taylor expansion of k in k 9.035 * [backup-simplify]: Simplify 0 into 0 9.035 * [backup-simplify]: Simplify 1 into 1 9.035 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 9.035 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.035 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.035 * [taylor]: Taking taylor expansion of 2.0 in k 9.035 * [backup-simplify]: Simplify 2.0 into 2.0 9.035 * [taylor]: Taking taylor expansion of PI in k 9.035 * [backup-simplify]: Simplify PI into PI 9.036 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.036 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.036 * [taylor]: Taking taylor expansion of (log n) in k 9.036 * [taylor]: Taking taylor expansion of n in k 9.036 * [backup-simplify]: Simplify n into n 9.036 * [backup-simplify]: Simplify (log n) into (log n) 9.037 * [backup-simplify]: Simplify (- 0) into 0 9.037 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.037 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 9.038 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 9.039 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 9.040 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 9.040 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 9.041 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.042 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 9.043 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.043 * [backup-simplify]: Simplify (- 0) into 0 9.043 * [backup-simplify]: Simplify (+ 0 0) into 0 9.044 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 9.045 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.046 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 9.047 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.047 * [taylor]: Taking taylor expansion of 0 in k 9.047 * [backup-simplify]: Simplify 0 into 0 9.047 * [backup-simplify]: Simplify 0 into 0 9.047 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.049 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.049 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 9.049 * [backup-simplify]: Simplify (+ 0 0) into 0 9.050 * [backup-simplify]: Simplify (- 1) into -1 9.050 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.051 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 9.052 * [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)))) 9.054 * [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)))))) 9.057 * [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)))))) 9.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.059 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.063 * [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 9.064 * [backup-simplify]: Simplify (- 0) into 0 9.064 * [backup-simplify]: Simplify (+ 0 0) into 0 9.065 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 9.067 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.068 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 9.071 * [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 9.071 * [taylor]: Taking taylor expansion of 0 in k 9.071 * [backup-simplify]: Simplify 0 into 0 9.071 * [backup-simplify]: Simplify 0 into 0 9.071 * [backup-simplify]: Simplify 0 into 0 9.072 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.076 * [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 9.078 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 9.078 * [backup-simplify]: Simplify (+ 0 0) into 0 9.079 * [backup-simplify]: Simplify (- 0) into 0 9.079 * [backup-simplify]: Simplify (+ 0 0) into 0 9.081 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 9.084 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 9.088 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 9.094 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 9.105 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 9.106 * [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)))) 9.106 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 9.106 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.106 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 9.106 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 9.106 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.106 * [taylor]: Taking taylor expansion of 0.5 in k 9.106 * [backup-simplify]: Simplify 0.5 into 0.5 9.106 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.106 * [taylor]: Taking taylor expansion of 1.0 in k 9.106 * [backup-simplify]: Simplify 1.0 into 1.0 9.106 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.106 * [taylor]: Taking taylor expansion of k in k 9.106 * [backup-simplify]: Simplify 0 into 0 9.106 * [backup-simplify]: Simplify 1 into 1 9.107 * [backup-simplify]: Simplify (/ 1 1) into 1 9.107 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 9.107 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 9.107 * [taylor]: Taking taylor expansion of 2.0 in k 9.107 * [backup-simplify]: Simplify 2.0 into 2.0 9.107 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.107 * [taylor]: Taking taylor expansion of PI in k 9.107 * [backup-simplify]: Simplify PI into PI 9.107 * [taylor]: Taking taylor expansion of n in k 9.107 * [backup-simplify]: Simplify n into n 9.107 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 9.107 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 9.108 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 9.108 * [backup-simplify]: Simplify (- 1) into -1 9.108 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.109 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.109 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 9.109 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 9.109 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 9.109 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 9.109 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 9.109 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 9.110 * [taylor]: Taking taylor expansion of 0.5 in n 9.110 * [backup-simplify]: Simplify 0.5 into 0.5 9.110 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.110 * [taylor]: Taking taylor expansion of 1.0 in n 9.110 * [backup-simplify]: Simplify 1.0 into 1.0 9.110 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.110 * [taylor]: Taking taylor expansion of k in n 9.110 * [backup-simplify]: Simplify k into k 9.110 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.110 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.110 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.110 * [taylor]: Taking taylor expansion of 2.0 in n 9.110 * [backup-simplify]: Simplify 2.0 into 2.0 9.110 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.110 * [taylor]: Taking taylor expansion of PI in n 9.110 * [backup-simplify]: Simplify PI into PI 9.110 * [taylor]: Taking taylor expansion of n in n 9.110 * [backup-simplify]: Simplify 0 into 0 9.110 * [backup-simplify]: Simplify 1 into 1 9.111 * [backup-simplify]: Simplify (/ PI 1) into PI 9.111 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.113 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.113 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.113 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.113 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 9.115 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.116 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 9.117 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 9.117 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 9.117 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 9.117 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 9.117 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 9.117 * [taylor]: Taking taylor expansion of 0.5 in n 9.117 * [backup-simplify]: Simplify 0.5 into 0.5 9.117 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.117 * [taylor]: Taking taylor expansion of 1.0 in n 9.117 * [backup-simplify]: Simplify 1.0 into 1.0 9.117 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.117 * [taylor]: Taking taylor expansion of k in n 9.118 * [backup-simplify]: Simplify k into k 9.118 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.118 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.118 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.118 * [taylor]: Taking taylor expansion of 2.0 in n 9.118 * [backup-simplify]: Simplify 2.0 into 2.0 9.118 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.118 * [taylor]: Taking taylor expansion of PI in n 9.118 * [backup-simplify]: Simplify PI into PI 9.118 * [taylor]: Taking taylor expansion of n in n 9.118 * [backup-simplify]: Simplify 0 into 0 9.118 * [backup-simplify]: Simplify 1 into 1 9.118 * [backup-simplify]: Simplify (/ PI 1) into PI 9.119 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.120 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.120 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.120 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.120 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 9.122 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.123 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 9.125 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 9.125 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 9.125 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 9.125 * [taylor]: Taking taylor expansion of 0.5 in k 9.125 * [backup-simplify]: Simplify 0.5 into 0.5 9.125 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 9.125 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 9.125 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.125 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.125 * [taylor]: Taking taylor expansion of 2.0 in k 9.125 * [backup-simplify]: Simplify 2.0 into 2.0 9.125 * [taylor]: Taking taylor expansion of PI in k 9.126 * [backup-simplify]: Simplify PI into PI 9.126 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.127 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.128 * [taylor]: Taking taylor expansion of (log n) in k 9.128 * [taylor]: Taking taylor expansion of n in k 9.128 * [backup-simplify]: Simplify n into n 9.128 * [backup-simplify]: Simplify (log n) into (log n) 9.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.128 * [taylor]: Taking taylor expansion of 1.0 in k 9.128 * [backup-simplify]: Simplify 1.0 into 1.0 9.128 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.128 * [taylor]: Taking taylor expansion of k in k 9.128 * [backup-simplify]: Simplify 0 into 0 9.128 * [backup-simplify]: Simplify 1 into 1 9.128 * [backup-simplify]: Simplify (/ 1 1) into 1 9.128 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 9.130 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 9.130 * [backup-simplify]: Simplify (- 1) into -1 9.131 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.132 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 9.141 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 9.143 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 9.144 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 9.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.146 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.148 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.148 * [backup-simplify]: Simplify (- 0) into 0 9.149 * [backup-simplify]: Simplify (+ 0 0) into 0 9.149 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 9.150 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.152 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 9.153 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.154 * [taylor]: Taking taylor expansion of 0 in k 9.154 * [backup-simplify]: Simplify 0 into 0 9.154 * [backup-simplify]: Simplify 0 into 0 9.154 * [backup-simplify]: Simplify 0 into 0 9.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.156 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.159 * [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 9.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.159 * [backup-simplify]: Simplify (- 0) into 0 9.160 * [backup-simplify]: Simplify (+ 0 0) into 0 9.161 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 9.162 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.163 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 9.166 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.166 * [taylor]: Taking taylor expansion of 0 in k 9.166 * [backup-simplify]: Simplify 0 into 0 9.166 * [backup-simplify]: Simplify 0 into 0 9.166 * [backup-simplify]: Simplify 0 into 0 9.166 * [backup-simplify]: Simplify 0 into 0 9.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.168 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.174 * [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 9.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.175 * [backup-simplify]: Simplify (- 0) into 0 9.175 * [backup-simplify]: Simplify (+ 0 0) into 0 9.176 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 9.178 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.180 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 9.182 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 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 9.184 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 9.184 * [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))) 9.184 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 9.184 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.184 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 9.185 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 9.185 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.185 * [taylor]: Taking taylor expansion of 0.5 in k 9.185 * [backup-simplify]: Simplify 0.5 into 0.5 9.185 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.185 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.185 * [taylor]: Taking taylor expansion of k in k 9.185 * [backup-simplify]: Simplify 0 into 0 9.185 * [backup-simplify]: Simplify 1 into 1 9.185 * [backup-simplify]: Simplify (/ 1 1) into 1 9.185 * [taylor]: Taking taylor expansion of 1.0 in k 9.185 * [backup-simplify]: Simplify 1.0 into 1.0 9.185 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 9.185 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 9.185 * [taylor]: Taking taylor expansion of -2.0 in k 9.185 * [backup-simplify]: Simplify -2.0 into -2.0 9.185 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.185 * [taylor]: Taking taylor expansion of PI in k 9.185 * [backup-simplify]: Simplify PI into PI 9.185 * [taylor]: Taking taylor expansion of n in k 9.185 * [backup-simplify]: Simplify n into n 9.185 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 9.186 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 9.186 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 9.186 * [backup-simplify]: Simplify (+ 1 0) into 1 9.186 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.187 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 9.187 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 9.187 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 9.187 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 9.187 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 9.187 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 9.187 * [taylor]: Taking taylor expansion of 0.5 in n 9.187 * [backup-simplify]: Simplify 0.5 into 0.5 9.187 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.187 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.187 * [taylor]: Taking taylor expansion of k in n 9.187 * [backup-simplify]: Simplify k into k 9.187 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.187 * [taylor]: Taking taylor expansion of 1.0 in n 9.187 * [backup-simplify]: Simplify 1.0 into 1.0 9.187 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.187 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.187 * [taylor]: Taking taylor expansion of -2.0 in n 9.187 * [backup-simplify]: Simplify -2.0 into -2.0 9.187 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.187 * [taylor]: Taking taylor expansion of PI in n 9.187 * [backup-simplify]: Simplify PI into PI 9.187 * [taylor]: Taking taylor expansion of n in n 9.187 * [backup-simplify]: Simplify 0 into 0 9.187 * [backup-simplify]: Simplify 1 into 1 9.188 * [backup-simplify]: Simplify (/ PI 1) into PI 9.188 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.189 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.189 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.190 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 9.191 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.192 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 9.193 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 9.193 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 9.193 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 9.193 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 9.193 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 9.193 * [taylor]: Taking taylor expansion of 0.5 in n 9.193 * [backup-simplify]: Simplify 0.5 into 0.5 9.193 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.193 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.193 * [taylor]: Taking taylor expansion of k in n 9.193 * [backup-simplify]: Simplify k into k 9.194 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.194 * [taylor]: Taking taylor expansion of 1.0 in n 9.194 * [backup-simplify]: Simplify 1.0 into 1.0 9.194 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.194 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.194 * [taylor]: Taking taylor expansion of -2.0 in n 9.194 * [backup-simplify]: Simplify -2.0 into -2.0 9.194 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.194 * [taylor]: Taking taylor expansion of PI in n 9.194 * [backup-simplify]: Simplify PI into PI 9.194 * [taylor]: Taking taylor expansion of n in n 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [backup-simplify]: Simplify 1 into 1 9.194 * [backup-simplify]: Simplify (/ PI 1) into PI 9.195 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.196 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.196 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.196 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 9.197 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.199 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 9.200 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 9.200 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 9.200 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 9.200 * [taylor]: Taking taylor expansion of 0.5 in k 9.200 * [backup-simplify]: Simplify 0.5 into 0.5 9.200 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 9.200 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.200 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.200 * [taylor]: Taking taylor expansion of k in k 9.200 * [backup-simplify]: Simplify 0 into 0 9.200 * [backup-simplify]: Simplify 1 into 1 9.200 * [backup-simplify]: Simplify (/ 1 1) into 1 9.201 * [taylor]: Taking taylor expansion of 1.0 in k 9.201 * [backup-simplify]: Simplify 1.0 into 1.0 9.201 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 9.201 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 9.201 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 9.201 * [taylor]: Taking taylor expansion of -2.0 in k 9.201 * [backup-simplify]: Simplify -2.0 into -2.0 9.201 * [taylor]: Taking taylor expansion of PI in k 9.201 * [backup-simplify]: Simplify PI into PI 9.201 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.202 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.202 * [taylor]: Taking taylor expansion of (log n) in k 9.202 * [taylor]: Taking taylor expansion of n in k 9.202 * [backup-simplify]: Simplify n into n 9.202 * [backup-simplify]: Simplify (log n) into (log n) 9.203 * [backup-simplify]: Simplify (+ 1 0) into 1 9.203 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 9.204 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 9.205 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 9.206 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 9.207 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 9.208 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 9.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.210 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 9.211 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 9.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.212 * [backup-simplify]: Simplify (+ 0 0) into 0 9.212 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 9.214 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.215 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 9.217 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.217 * [taylor]: Taking taylor expansion of 0 in k 9.217 * [backup-simplify]: Simplify 0 into 0 9.217 * [backup-simplify]: Simplify 0 into 0 9.217 * [backup-simplify]: Simplify 0 into 0 9.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.219 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.222 * [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 9.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.223 * [backup-simplify]: Simplify (+ 0 0) into 0 9.224 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 9.225 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.226 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 9.229 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.229 * [taylor]: Taking taylor expansion of 0 in k 9.229 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify 0 into 0 9.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.231 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.237 * [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 9.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.238 * [backup-simplify]: Simplify (+ 0 0) into 0 9.239 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 9.241 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.243 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 9.245 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.246 * [taylor]: Taking taylor expansion of 0 in k 9.246 * [backup-simplify]: Simplify 0 into 0 9.246 * [backup-simplify]: Simplify 0 into 0 9.247 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 9.247 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 9.247 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt k))) into (* 1.0 (pow (/ 1 k) 1/4)) 9.247 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 9.247 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 9.247 * [taylor]: Taking taylor expansion of 1.0 in k 9.247 * [backup-simplify]: Simplify 1.0 into 1.0 9.247 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 9.247 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 9.248 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 9.248 * [taylor]: Taking taylor expansion of 1/4 in k 9.248 * [backup-simplify]: Simplify 1/4 into 1/4 9.248 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 9.248 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.248 * [taylor]: Taking taylor expansion of k in k 9.248 * [backup-simplify]: Simplify 0 into 0 9.248 * [backup-simplify]: Simplify 1 into 1 9.248 * [backup-simplify]: Simplify (/ 1 1) into 1 9.249 * [backup-simplify]: Simplify (log 1) into 0 9.249 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.249 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 9.249 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 9.249 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 9.249 * [taylor]: Taking taylor expansion of 1.0 in k 9.249 * [backup-simplify]: Simplify 1.0 into 1.0 9.249 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 9.249 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 9.249 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 9.249 * [taylor]: Taking taylor expansion of 1/4 in k 9.249 * [backup-simplify]: Simplify 1/4 into 1/4 9.249 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 9.250 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.250 * [taylor]: Taking taylor expansion of k in k 9.250 * [backup-simplify]: Simplify 0 into 0 9.250 * [backup-simplify]: Simplify 1 into 1 9.250 * [backup-simplify]: Simplify (/ 1 1) into 1 9.250 * [backup-simplify]: Simplify (log 1) into 0 9.251 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.251 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 9.251 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 9.251 * [backup-simplify]: Simplify (* 1.0 (pow k -1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 9.251 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 9.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.253 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.254 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.254 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 9.255 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 9.256 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k -1/4))) into 0 9.256 * [backup-simplify]: Simplify 0 into 0 9.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.259 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.260 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.261 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 9.262 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.263 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k -1/4)))) into 0 9.263 * [backup-simplify]: Simplify 0 into 0 9.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.269 * [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 9.269 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.271 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 9.272 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.273 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))) into 0 9.273 * [backup-simplify]: Simplify 0 into 0 9.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.291 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 9.291 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.293 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 9.296 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.298 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))) into 0 9.298 * [backup-simplify]: Simplify 0 into 0 9.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.316 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 9.316 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.318 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 9.322 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.324 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))))) into 0 9.324 * [backup-simplify]: Simplify 0 into 0 9.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.356 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 9.356 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.359 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 9.364 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.367 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))))) into 0 9.367 * [backup-simplify]: Simplify 0 into 0 9.367 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 9.367 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 k)))) into (* 1.0 (pow k 1/4)) 9.367 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 9.367 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 9.367 * [taylor]: Taking taylor expansion of 1.0 in k 9.367 * [backup-simplify]: Simplify 1.0 into 1.0 9.367 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 9.367 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 9.367 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 9.367 * [taylor]: Taking taylor expansion of 1/4 in k 9.367 * [backup-simplify]: Simplify 1/4 into 1/4 9.367 * [taylor]: Taking taylor expansion of (log k) in k 9.367 * [taylor]: Taking taylor expansion of k in k 9.367 * [backup-simplify]: Simplify 0 into 0 9.367 * [backup-simplify]: Simplify 1 into 1 9.368 * [backup-simplify]: Simplify (log 1) into 0 9.368 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 9.368 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 9.368 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 9.368 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 9.368 * [taylor]: Taking taylor expansion of 1.0 in k 9.368 * [backup-simplify]: Simplify 1.0 into 1.0 9.368 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 9.368 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 9.368 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 9.369 * [taylor]: Taking taylor expansion of 1/4 in k 9.369 * [backup-simplify]: Simplify 1/4 into 1/4 9.369 * [taylor]: Taking taylor expansion of (log k) in k 9.369 * [taylor]: Taking taylor expansion of k in k 9.369 * [backup-simplify]: Simplify 0 into 0 9.369 * [backup-simplify]: Simplify 1 into 1 9.369 * [backup-simplify]: Simplify (log 1) into 0 9.369 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 9.369 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 9.369 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 9.370 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 9.370 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 9.371 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.371 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 9.372 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 9.373 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 9.373 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k 1/4))) into 0 9.373 * [backup-simplify]: Simplify 0 into 0 9.376 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.376 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 9.377 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 9.378 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.379 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 9.379 * [backup-simplify]: Simplify 0 into 0 9.383 * [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 9.384 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 9.385 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 9.386 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.388 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))) into 0 9.388 * [backup-simplify]: Simplify 0 into 0 9.397 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 9.398 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 9.400 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 9.402 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.404 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))) into 0 9.404 * [backup-simplify]: Simplify 0 into 0 9.422 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 9.422 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 9.425 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 9.433 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.436 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))))) into 0 9.436 * [backup-simplify]: Simplify 0 into 0 9.466 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 9.467 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 9.469 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 9.476 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.479 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))))) into 0 9.479 * [backup-simplify]: Simplify 0 into 0 9.479 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 9.479 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 (- k))))) into (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) 9.479 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 9.479 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 9.479 * [taylor]: Taking taylor expansion of 1.0 in k 9.479 * [backup-simplify]: Simplify 1.0 into 1.0 9.479 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 9.479 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 9.480 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.480 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.480 * [taylor]: Taking taylor expansion of -1 in k 9.480 * [backup-simplify]: Simplify -1 into -1 9.480 * [taylor]: Taking taylor expansion of k in k 9.480 * [backup-simplify]: Simplify 0 into 0 9.480 * [backup-simplify]: Simplify 1 into 1 9.480 * [backup-simplify]: Simplify (/ -1 1) into -1 9.481 * [backup-simplify]: Simplify (sqrt 0) into 0 9.482 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.483 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.483 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 9.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.487 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.489 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.491 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 9.491 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 9.491 * [taylor]: Taking taylor expansion of 1.0 in k 9.491 * [backup-simplify]: Simplify 1.0 into 1.0 9.491 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 9.491 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 9.491 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.491 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.491 * [taylor]: Taking taylor expansion of -1 in k 9.491 * [backup-simplify]: Simplify -1 into -1 9.491 * [taylor]: Taking taylor expansion of k in k 9.491 * [backup-simplify]: Simplify 0 into 0 9.491 * [backup-simplify]: Simplify 1 into 1 9.492 * [backup-simplify]: Simplify (/ -1 1) into -1 9.492 * [backup-simplify]: Simplify (sqrt 0) into 0 9.493 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.494 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.494 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 9.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.497 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.499 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.501 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 9.502 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 9.503 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 9.506 * [backup-simplify]: Simplify (+ (* 1.0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 9.508 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 9.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.518 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.523 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 9.535 * [backup-simplify]: Simplify (+ (* 1.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) 9.543 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) 9.555 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (sqrt +nan.0)))) (/ 1 (- k))) (* 1.0 (sqrt +nan.0)))) into (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) 9.555 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 9.555 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) into (* 1.0 (sqrt (/ 1 k))) 9.555 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 9.555 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.555 * [taylor]: Taking taylor expansion of 1.0 in k 9.555 * [backup-simplify]: Simplify 1.0 into 1.0 9.555 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.555 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.555 * [taylor]: Taking taylor expansion of k in k 9.555 * [backup-simplify]: Simplify 0 into 0 9.555 * [backup-simplify]: Simplify 1 into 1 9.556 * [backup-simplify]: Simplify (/ 1 1) into 1 9.556 * [backup-simplify]: Simplify (sqrt 0) into 0 9.558 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.558 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.558 * [taylor]: Taking taylor expansion of 1.0 in k 9.558 * [backup-simplify]: Simplify 1.0 into 1.0 9.558 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.558 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.558 * [taylor]: Taking taylor expansion of k in k 9.558 * [backup-simplify]: Simplify 0 into 0 9.558 * [backup-simplify]: Simplify 1 into 1 9.558 * [backup-simplify]: Simplify (/ 1 1) into 1 9.559 * [backup-simplify]: Simplify (sqrt 0) into 0 9.560 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.560 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.560 * [backup-simplify]: Simplify 0 into 0 9.561 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 9.561 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.564 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.565 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 9.565 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.573 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.573 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.574 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 9.574 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt (/ 1 k)))) (sqrt (sqrt (/ 1 k)))) into (* 1.0 (sqrt k)) 9.574 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 9.574 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.574 * [taylor]: Taking taylor expansion of 1.0 in k 9.574 * [backup-simplify]: Simplify 1.0 into 1.0 9.574 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.574 * [taylor]: Taking taylor expansion of k in k 9.574 * [backup-simplify]: Simplify 0 into 0 9.574 * [backup-simplify]: Simplify 1 into 1 9.575 * [backup-simplify]: Simplify (sqrt 0) into 0 9.575 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.576 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.576 * [taylor]: Taking taylor expansion of 1.0 in k 9.576 * [backup-simplify]: Simplify 1.0 into 1.0 9.576 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.576 * [taylor]: Taking taylor expansion of k in k 9.576 * [backup-simplify]: Simplify 0 into 0 9.576 * [backup-simplify]: Simplify 1 into 1 9.576 * [backup-simplify]: Simplify (sqrt 0) into 0 9.577 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.577 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.577 * [backup-simplify]: Simplify 0 into 0 9.578 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 9.578 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.580 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.581 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 9.581 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.585 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.585 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.586 * [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)))))))) 9.586 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt (/ 1 (- k))))) (sqrt (sqrt (/ 1 (- k))))) into (/ 1.0 (sqrt (/ -1 k))) 9.586 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 9.586 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.586 * [taylor]: Taking taylor expansion of 1.0 in k 9.586 * [backup-simplify]: Simplify 1.0 into 1.0 9.586 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.586 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.586 * [taylor]: Taking taylor expansion of -1 in k 9.587 * [backup-simplify]: Simplify -1 into -1 9.587 * [taylor]: Taking taylor expansion of k in k 9.587 * [backup-simplify]: Simplify 0 into 0 9.587 * [backup-simplify]: Simplify 1 into 1 9.587 * [backup-simplify]: Simplify (/ -1 1) into -1 9.587 * [backup-simplify]: Simplify (sqrt 0) into 0 9.588 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.588 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 9.588 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.588 * [taylor]: Taking taylor expansion of 1.0 in k 9.588 * [backup-simplify]: Simplify 1.0 into 1.0 9.588 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.588 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.588 * [taylor]: Taking taylor expansion of -1 in k 9.589 * [backup-simplify]: Simplify -1 into -1 9.589 * [taylor]: Taking taylor expansion of k in k 9.589 * [backup-simplify]: Simplify 0 into 0 9.589 * [backup-simplify]: Simplify 1 into 1 9.589 * [backup-simplify]: Simplify (/ -1 1) into -1 9.589 * [backup-simplify]: Simplify (sqrt 0) into 0 9.590 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.590 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 9.590 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.593 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.596 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.596 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.601 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.606 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.606 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.607 * [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))))) 9.607 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 9.608 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 9.608 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 9.608 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.608 * [taylor]: Taking taylor expansion of 2.0 in n 9.608 * [backup-simplify]: Simplify 2.0 into 2.0 9.608 * [taylor]: Taking taylor expansion of (* n PI) in n 9.608 * [taylor]: Taking taylor expansion of n in n 9.608 * [backup-simplify]: Simplify 0 into 0 9.608 * [backup-simplify]: Simplify 1 into 1 9.608 * [taylor]: Taking taylor expansion of PI in n 9.608 * [backup-simplify]: Simplify PI into PI 9.608 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.608 * [taylor]: Taking taylor expansion of 2.0 in n 9.608 * [backup-simplify]: Simplify 2.0 into 2.0 9.608 * [taylor]: Taking taylor expansion of (* n PI) in n 9.608 * [taylor]: Taking taylor expansion of n in n 9.608 * [backup-simplify]: Simplify 0 into 0 9.608 * [backup-simplify]: Simplify 1 into 1 9.608 * [taylor]: Taking taylor expansion of PI in n 9.609 * [backup-simplify]: Simplify PI into PI 9.609 * [backup-simplify]: Simplify (* 0 PI) into 0 9.609 * [backup-simplify]: Simplify (* 2.0 0) into 0 9.610 * [backup-simplify]: Simplify 0 into 0 9.611 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.613 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 9.613 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.614 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.615 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 9.615 * [backup-simplify]: Simplify 0 into 0 9.617 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.618 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.618 * [backup-simplify]: Simplify 0 into 0 9.619 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.621 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 9.621 * [backup-simplify]: Simplify 0 into 0 9.622 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 9.623 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 9.624 * [backup-simplify]: Simplify 0 into 0 9.624 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 9.626 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 9.626 * [backup-simplify]: Simplify 0 into 0 9.627 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 9.628 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 9.628 * [backup-simplify]: Simplify 0 into 0 9.628 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 9.629 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 9.629 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 9.629 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.629 * [taylor]: Taking taylor expansion of 2.0 in n 9.629 * [backup-simplify]: Simplify 2.0 into 2.0 9.629 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.629 * [taylor]: Taking taylor expansion of PI in n 9.629 * [backup-simplify]: Simplify PI into PI 9.629 * [taylor]: Taking taylor expansion of n in n 9.629 * [backup-simplify]: Simplify 0 into 0 9.629 * [backup-simplify]: Simplify 1 into 1 9.629 * [backup-simplify]: Simplify (/ PI 1) into PI 9.629 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.629 * [taylor]: Taking taylor expansion of 2.0 in n 9.629 * [backup-simplify]: Simplify 2.0 into 2.0 9.629 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.629 * [taylor]: Taking taylor expansion of PI in n 9.629 * [backup-simplify]: Simplify PI into PI 9.629 * [taylor]: Taking taylor expansion of n in n 9.629 * [backup-simplify]: Simplify 0 into 0 9.629 * [backup-simplify]: Simplify 1 into 1 9.630 * [backup-simplify]: Simplify (/ PI 1) into PI 9.630 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.630 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.631 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.631 * [backup-simplify]: Simplify 0 into 0 9.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.633 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.633 * [backup-simplify]: Simplify 0 into 0 9.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.634 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.634 * [backup-simplify]: Simplify 0 into 0 9.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.635 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.635 * [backup-simplify]: Simplify 0 into 0 9.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.637 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 9.637 * [backup-simplify]: Simplify 0 into 0 9.638 * [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 9.639 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 9.639 * [backup-simplify]: Simplify 0 into 0 9.639 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 9.639 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 9.639 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 9.639 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.639 * [taylor]: Taking taylor expansion of -2.0 in n 9.639 * [backup-simplify]: Simplify -2.0 into -2.0 9.639 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.639 * [taylor]: Taking taylor expansion of PI in n 9.640 * [backup-simplify]: Simplify PI into PI 9.640 * [taylor]: Taking taylor expansion of n in n 9.640 * [backup-simplify]: Simplify 0 into 0 9.640 * [backup-simplify]: Simplify 1 into 1 9.640 * [backup-simplify]: Simplify (/ PI 1) into PI 9.640 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.640 * [taylor]: Taking taylor expansion of -2.0 in n 9.640 * [backup-simplify]: Simplify -2.0 into -2.0 9.640 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.640 * [taylor]: Taking taylor expansion of PI in n 9.640 * [backup-simplify]: Simplify PI into PI 9.640 * [taylor]: Taking taylor expansion of n in n 9.640 * [backup-simplify]: Simplify 0 into 0 9.640 * [backup-simplify]: Simplify 1 into 1 9.640 * [backup-simplify]: Simplify (/ PI 1) into PI 9.641 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.641 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.642 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 9.642 * [backup-simplify]: Simplify 0 into 0 9.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.643 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.643 * [backup-simplify]: Simplify 0 into 0 9.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.645 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.645 * [backup-simplify]: Simplify 0 into 0 9.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.646 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.646 * [backup-simplify]: Simplify 0 into 0 9.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.648 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 9.648 * [backup-simplify]: Simplify 0 into 0 9.648 * [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 9.649 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 9.649 * [backup-simplify]: Simplify 0 into 0 9.650 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 9.650 * * * [progress]: simplifying candidates 9.663 * [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 (/ 1.0 (sqrt (sqrt k)))) (log1p (/ 1.0 (sqrt (sqrt k)))) (- (log 1.0) (log (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k)))) (exp (/ 1.0 (sqrt (sqrt k)))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (cbrt (/ 1.0 (sqrt (sqrt k)))) (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (- 1.0) (- (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt 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(* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 9.698 * * [simplify]: Extracting # 0 : cost 0 9.700 * * [simplify]: Extracting # 1 : cost 0 9.702 * * [simplify]: Extracting # 2 : cost 0 9.704 * * [simplify]: Extracting # 3 : cost 0 9.705 * * [simplify]: Extracting # 4 : cost 0 9.707 * * [simplify]: Extracting # 5 : cost 0 9.709 * * [simplify]: Extracting # 6 : cost 0 9.711 * * [simplify]: Extracting # 7 : cost 0 9.713 * * [simplify]: Extracting # 8 : cost 0 9.715 * * [simplify]: Extracting # 9 : cost 0 9.716 * * [simplify]: Extracting # 10 : cost 0 9.718 * * [simplify]: Extracting # 11 : cost 0 9.719 * * [simplify]: Extracting # 12 : cost 0 9.721 * * [simplify]: Extracting # 13 : cost 0 9.723 * * [simplify]: Extracting # 14 : cost 0 9.725 * * [simplify]: iteration 0 : 566 enodes (cost 9021 ) 9.956 * * [simplify]: Extracting # 0 : cost 0 9.968 * * [simplify]: Extracting # 1 : cost 0 9.973 * * [simplify]: Extracting # 2 : cost 0 9.977 * * [simplify]: Extracting # 3 : cost 0 9.980 * * [simplify]: Extracting # 4 : cost 0 9.984 * * [simplify]: Extracting # 5 : cost 0 9.987 * * [simplify]: Extracting # 6 : cost 0 9.991 * * [simplify]: iteration 1 : 1341 enodes (cost 7684 ) 10.630 * * [simplify]: Extracting # 0 : cost 0 10.634 * * [simplify]: Extracting # 1 : cost 0 10.638 * * [simplify]: Extracting # 2 : cost 0 10.643 * * [simplify]: Extracting # 3 : cost 0 10.647 * * [simplify]: Extracting # 4 : cost 0 10.655 * * [simplify]: iteration 2 : 3111 enodes (cost 7109 ) 11.800 * * [simplify]: Extracting # 0 : cost 0 11.807 * * [simplify]: Extracting # 1 : cost 0 11.812 * * [simplify]: Extracting # 2 : cost 0 11.818 * * [simplify]: Extracting # 3 : cost 0 11.825 * * [simplify]: Extracting # 4 : cost 0 11.838 * * [simplify]: iteration done: 5002 enodes (cost 6936 ) 11.842 * [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))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 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(pow (sqrt (sqrt (sqrt k))) 3)) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (pow (sqrt (sqrt (sqrt k))) 3)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (pow (sqrt (sqrt (sqrt k))) 3)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (pow (sqrt (sqrt (sqrt k))) 3)) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (pow (sqrt (sqrt (sqrt k))) 3)) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (pow (sqrt (sqrt (sqrt k))) 3)) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (pow (sqrt (sqrt (sqrt k))) 3)) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (/ 1 (pow (cbrt (sqrt (sqrt k))) 3)) (cbrt (sqrt (sqrt k)))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (* (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (* (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (sqrt (fabs (cbrt k))) (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (* (sqrt (fabs (cbrt k))) (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1.0 (fabs (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt (sqrt k))) 3)) 1.0 (/ 1 (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt (sqrt k))) 3)) 1.0 (/ 1 (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt (sqrt k))) 3)) 1.0 (/ 1 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (sqrt k) 1.0) (/ (/ 1.0 (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (fabs (cbrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (sqrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (pow (sqrt (sqrt (sqrt k))) 3) (cbrt 1.0)) (/ (sqrt k) (cbrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (cbrt 1.0)) (/ (sqrt k) (cbrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (cbrt 1.0)) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (pow (sqrt (sqrt (sqrt k))) 3) (sqrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (sqrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (sqrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt (sqrt k)) (/ 1.0 (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (cbrt k))))) (/ (pow (sqrt (sqrt (sqrt k))) 3) 1.0) (/ (sqrt k) 1.0) (/ (pow (sqrt (sqrt (sqrt k))) 3) 1.0) (/ (sqrt k) 1.0) (/ (pow (sqrt (sqrt (sqrt k))) 3) 1.0) (/ (sqrt k) 1.0) (/ (sqrt k) 1.0) (sqrt k) (sqrt k) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 n) PI) (* (* 2.0 n) PI) (log (* (* 2.0 n) PI)) (log (* (* 2.0 n) PI)) (log (* (* 2.0 n) PI)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* n PI) (fma (* 0.125 (pow k 2)) (fma (pow (log (* 2.0 PI)) 2) (pow (* 2.0 (* n PI)) 0.5) (* (pow (log n) 2) (pow (* 2.0 (* n PI)) 0.5))) (- (fma (* 0.25 (pow k 2)) (* (log n) (* (log (* 2.0 PI)) (pow (* 2.0 (* n PI)) 0.5))) (pow (* 2.0 (* n PI)) 0.5)) (* (* 0.5 k) (fma (log n) (pow (* 2.0 (* n PI)) 0.5) (* (log (* 2.0 PI)) (pow (* 2.0 (* n PI)) 0.5)))))) (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (fma (sqrt +nan.0) 1.0 (- (/ +nan.0 (* (sqrt +nan.0) k)) (/ (/ +nan.0 (pow k 2)) (pow (sqrt +nan.0) 3)))) (/ +nan.0 (* (sqrt +nan.0) (pow k 2)))) (fma (- +nan.0) k (fma (pow k 2) +nan.0 (- +nan.0))) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (- (/ +nan.0 (pow k 2)))) (+ (- (/ +nan.0 (pow k 2))) (- (/ +nan.0 k) +nan.0)) (* (* 2.0 n) PI) (* (* 2.0 n) PI) (* (* 2.0 n) PI) 11.846 * * * [progress]: adding candidates to table 13.020 * * [progress]: iteration 3 / 4 13.020 * * * [progress]: picking best candidate 13.078 * * * * [pick]: Picked # 13.078 * * * [progress]: localizing error 13.120 * * * [progress]: generating rewritten candidates 13.120 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 13.143 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 1) 13.144 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 1 1) 13.145 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 13.203 * * * [progress]: generating series expansions 13.203 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 13.204 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 13.204 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 13.204 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 13.204 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 13.204 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 13.204 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 13.204 * [taylor]: Taking taylor expansion of 0.5 in k 13.204 * [backup-simplify]: Simplify 0.5 into 0.5 13.204 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 13.204 * [taylor]: Taking taylor expansion of 1.0 in k 13.204 * [backup-simplify]: Simplify 1.0 into 1.0 13.204 * [taylor]: Taking taylor expansion of k in k 13.204 * [backup-simplify]: Simplify 0 into 0 13.204 * [backup-simplify]: Simplify 1 into 1 13.204 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 13.204 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 13.204 * [taylor]: Taking taylor expansion of 2.0 in k 13.204 * [backup-simplify]: Simplify 2.0 into 2.0 13.204 * [taylor]: Taking taylor expansion of (* n PI) in k 13.204 * [taylor]: Taking taylor expansion of n in k 13.204 * [backup-simplify]: Simplify n into n 13.204 * [taylor]: Taking taylor expansion of PI in k 13.204 * [backup-simplify]: Simplify PI into PI 13.204 * [backup-simplify]: Simplify (* n PI) into (* n PI) 13.204 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 13.204 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 13.205 * [backup-simplify]: Simplify (- 0) into 0 13.205 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.205 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 13.206 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 13.206 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 13.206 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 13.206 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 13.206 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 13.206 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 13.206 * [taylor]: Taking taylor expansion of 0.5 in n 13.206 * [backup-simplify]: Simplify 0.5 into 0.5 13.206 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 13.206 * [taylor]: Taking taylor expansion of 1.0 in n 13.206 * [backup-simplify]: Simplify 1.0 into 1.0 13.206 * [taylor]: Taking taylor expansion of k in n 13.206 * [backup-simplify]: Simplify k into k 13.206 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 13.206 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 13.206 * [taylor]: Taking taylor expansion of 2.0 in n 13.206 * [backup-simplify]: Simplify 2.0 into 2.0 13.206 * [taylor]: Taking taylor expansion of (* n PI) in n 13.206 * [taylor]: Taking taylor expansion of n in n 13.206 * [backup-simplify]: Simplify 0 into 0 13.206 * [backup-simplify]: Simplify 1 into 1 13.206 * [taylor]: Taking taylor expansion of PI in n 13.206 * [backup-simplify]: Simplify PI into PI 13.206 * [backup-simplify]: Simplify (* 0 PI) into 0 13.207 * [backup-simplify]: Simplify (* 2.0 0) into 0 13.208 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.209 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 13.210 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.210 * [backup-simplify]: Simplify (- k) into (- k) 13.210 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 13.210 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 13.211 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 13.212 * [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)))) 13.212 * [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))))) 13.212 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 13.212 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 13.212 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 13.213 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 13.213 * [taylor]: Taking taylor expansion of 0.5 in n 13.213 * [backup-simplify]: Simplify 0.5 into 0.5 13.213 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 13.213 * [taylor]: Taking taylor expansion of 1.0 in n 13.213 * [backup-simplify]: Simplify 1.0 into 1.0 13.213 * [taylor]: Taking taylor expansion of k in n 13.213 * [backup-simplify]: Simplify k into k 13.213 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 13.213 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 13.213 * [taylor]: Taking taylor expansion of 2.0 in n 13.213 * [backup-simplify]: Simplify 2.0 into 2.0 13.213 * [taylor]: Taking taylor expansion of (* n PI) in n 13.213 * [taylor]: Taking taylor expansion of n in n 13.213 * [backup-simplify]: Simplify 0 into 0 13.213 * [backup-simplify]: Simplify 1 into 1 13.213 * [taylor]: Taking taylor expansion of PI in n 13.213 * [backup-simplify]: Simplify PI into PI 13.213 * [backup-simplify]: Simplify (* 0 PI) into 0 13.214 * [backup-simplify]: Simplify (* 2.0 0) into 0 13.215 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.216 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 13.217 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.217 * [backup-simplify]: Simplify (- k) into (- k) 13.217 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 13.217 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 13.218 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 13.219 * [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)))) 13.220 * [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))))) 13.220 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 13.220 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 13.220 * [taylor]: Taking taylor expansion of 0.5 in k 13.220 * [backup-simplify]: Simplify 0.5 into 0.5 13.220 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 13.220 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 13.220 * [taylor]: Taking taylor expansion of 1.0 in k 13.220 * [backup-simplify]: Simplify 1.0 into 1.0 13.220 * [taylor]: Taking taylor expansion of k in k 13.220 * [backup-simplify]: Simplify 0 into 0 13.220 * [backup-simplify]: Simplify 1 into 1 13.220 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 13.220 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 13.220 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 13.220 * [taylor]: Taking taylor expansion of 2.0 in k 13.220 * [backup-simplify]: Simplify 2.0 into 2.0 13.220 * [taylor]: Taking taylor expansion of PI in k 13.220 * [backup-simplify]: Simplify PI into PI 13.221 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.221 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.221 * [taylor]: Taking taylor expansion of (log n) in k 13.221 * [taylor]: Taking taylor expansion of n in k 13.221 * [backup-simplify]: Simplify n into n 13.221 * [backup-simplify]: Simplify (log n) into (log n) 13.222 * [backup-simplify]: Simplify (- 0) into 0 13.222 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.223 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 13.223 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 13.224 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 13.225 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 13.226 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 13.227 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 13.227 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 13.228 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 13.229 * [backup-simplify]: Simplify (- 0) into 0 13.229 * [backup-simplify]: Simplify (+ 0 0) into 0 13.229 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 13.230 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 13.231 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 13.232 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.232 * [taylor]: Taking taylor expansion of 0 in k 13.233 * [backup-simplify]: Simplify 0 into 0 13.233 * [backup-simplify]: Simplify 0 into 0 13.233 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 13.234 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 13.235 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 13.235 * [backup-simplify]: Simplify (+ 0 0) into 0 13.235 * [backup-simplify]: Simplify (- 1) into -1 13.236 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.237 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 13.238 * [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)))) 13.240 * [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)))))) 13.250 * [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)))))) 13.251 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 13.252 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 13.254 * [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 13.254 * [backup-simplify]: Simplify (- 0) into 0 13.254 * [backup-simplify]: Simplify (+ 0 0) into 0 13.255 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 13.256 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 13.257 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 13.259 * [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 13.259 * [taylor]: Taking taylor expansion of 0 in k 13.259 * [backup-simplify]: Simplify 0 into 0 13.259 * [backup-simplify]: Simplify 0 into 0 13.259 * [backup-simplify]: Simplify 0 into 0 13.260 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.262 * [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 13.263 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 13.263 * [backup-simplify]: Simplify (+ 0 0) into 0 13.263 * [backup-simplify]: Simplify (- 0) into 0 13.264 * [backup-simplify]: Simplify (+ 0 0) into 0 13.265 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 13.266 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 13.269 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 13.272 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 13.279 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 13.279 * [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)))) 13.279 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 13.279 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 13.279 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 13.279 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 13.279 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 13.279 * [taylor]: Taking taylor expansion of 0.5 in k 13.279 * [backup-simplify]: Simplify 0.5 into 0.5 13.279 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.279 * [taylor]: Taking taylor expansion of 1.0 in k 13.279 * [backup-simplify]: Simplify 1.0 into 1.0 13.279 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.279 * [taylor]: Taking taylor expansion of k in k 13.279 * [backup-simplify]: Simplify 0 into 0 13.280 * [backup-simplify]: Simplify 1 into 1 13.280 * [backup-simplify]: Simplify (/ 1 1) into 1 13.280 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 13.280 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 13.280 * [taylor]: Taking taylor expansion of 2.0 in k 13.280 * [backup-simplify]: Simplify 2.0 into 2.0 13.280 * [taylor]: Taking taylor expansion of (/ PI n) in k 13.280 * [taylor]: Taking taylor expansion of PI in k 13.280 * [backup-simplify]: Simplify PI into PI 13.280 * [taylor]: Taking taylor expansion of n in k 13.280 * [backup-simplify]: Simplify n into n 13.280 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 13.280 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 13.280 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 13.280 * [backup-simplify]: Simplify (- 1) into -1 13.281 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.281 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 13.281 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 13.281 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 13.281 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 13.281 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 13.281 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 13.281 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 13.281 * [taylor]: Taking taylor expansion of 0.5 in n 13.281 * [backup-simplify]: Simplify 0.5 into 0.5 13.281 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 13.281 * [taylor]: Taking taylor expansion of 1.0 in n 13.281 * [backup-simplify]: Simplify 1.0 into 1.0 13.281 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.281 * [taylor]: Taking taylor expansion of k in n 13.281 * [backup-simplify]: Simplify k into k 13.281 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.281 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 13.281 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 13.282 * [taylor]: Taking taylor expansion of 2.0 in n 13.282 * [backup-simplify]: Simplify 2.0 into 2.0 13.282 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.282 * [taylor]: Taking taylor expansion of PI in n 13.282 * [backup-simplify]: Simplify PI into PI 13.282 * [taylor]: Taking taylor expansion of n in n 13.282 * [backup-simplify]: Simplify 0 into 0 13.282 * [backup-simplify]: Simplify 1 into 1 13.282 * [backup-simplify]: Simplify (/ PI 1) into PI 13.282 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.283 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.283 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 13.283 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 13.283 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 13.284 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 13.285 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 13.286 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 13.286 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 13.286 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 13.286 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 13.286 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 13.286 * [taylor]: Taking taylor expansion of 0.5 in n 13.286 * [backup-simplify]: Simplify 0.5 into 0.5 13.286 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 13.286 * [taylor]: Taking taylor expansion of 1.0 in n 13.286 * [backup-simplify]: Simplify 1.0 into 1.0 13.286 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.286 * [taylor]: Taking taylor expansion of k in n 13.286 * [backup-simplify]: Simplify k into k 13.286 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.286 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 13.286 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 13.286 * [taylor]: Taking taylor expansion of 2.0 in n 13.286 * [backup-simplify]: Simplify 2.0 into 2.0 13.286 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.286 * [taylor]: Taking taylor expansion of PI in n 13.286 * [backup-simplify]: Simplify PI into PI 13.286 * [taylor]: Taking taylor expansion of n in n 13.286 * [backup-simplify]: Simplify 0 into 0 13.286 * [backup-simplify]: Simplify 1 into 1 13.287 * [backup-simplify]: Simplify (/ PI 1) into PI 13.287 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.288 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.288 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 13.288 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 13.288 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 13.289 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 13.290 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 13.290 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 13.290 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 13.290 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 13.290 * [taylor]: Taking taylor expansion of 0.5 in k 13.291 * [backup-simplify]: Simplify 0.5 into 0.5 13.291 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 13.291 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 13.291 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 13.291 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 13.291 * [taylor]: Taking taylor expansion of 2.0 in k 13.291 * [backup-simplify]: Simplify 2.0 into 2.0 13.291 * [taylor]: Taking taylor expansion of PI in k 13.291 * [backup-simplify]: Simplify PI into PI 13.291 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.292 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.292 * [taylor]: Taking taylor expansion of (log n) in k 13.292 * [taylor]: Taking taylor expansion of n in k 13.292 * [backup-simplify]: Simplify n into n 13.292 * [backup-simplify]: Simplify (log n) into (log n) 13.292 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.292 * [taylor]: Taking taylor expansion of 1.0 in k 13.292 * [backup-simplify]: Simplify 1.0 into 1.0 13.292 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.292 * [taylor]: Taking taylor expansion of k in k 13.292 * [backup-simplify]: Simplify 0 into 0 13.292 * [backup-simplify]: Simplify 1 into 1 13.292 * [backup-simplify]: Simplify (/ 1 1) into 1 13.292 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 13.293 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 13.293 * [backup-simplify]: Simplify (- 1) into -1 13.293 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.294 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 13.295 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 13.296 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 13.296 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 13.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.297 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 13.298 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 13.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 13.299 * [backup-simplify]: Simplify (- 0) into 0 13.299 * [backup-simplify]: Simplify (+ 0 0) into 0 13.299 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 13.300 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 13.301 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 13.302 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.302 * [taylor]: Taking taylor expansion of 0 in k 13.302 * [backup-simplify]: Simplify 0 into 0 13.302 * [backup-simplify]: Simplify 0 into 0 13.302 * [backup-simplify]: Simplify 0 into 0 13.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.304 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.306 * [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 13.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.306 * [backup-simplify]: Simplify (- 0) into 0 13.306 * [backup-simplify]: Simplify (+ 0 0) into 0 13.307 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 13.308 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 13.309 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 13.311 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.311 * [taylor]: Taking taylor expansion of 0 in k 13.311 * [backup-simplify]: Simplify 0 into 0 13.311 * [backup-simplify]: Simplify 0 into 0 13.311 * [backup-simplify]: Simplify 0 into 0 13.311 * [backup-simplify]: Simplify 0 into 0 13.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.313 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.317 * [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 13.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.318 * [backup-simplify]: Simplify (- 0) into 0 13.318 * [backup-simplify]: Simplify (+ 0 0) into 0 13.320 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 13.321 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 13.323 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 13.326 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.326 * [taylor]: Taking taylor expansion of 0 in k 13.326 * [backup-simplify]: Simplify 0 into 0 13.326 * [backup-simplify]: Simplify 0 into 0 13.328 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 13.328 * [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))) 13.328 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 13.329 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 13.329 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 13.329 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 13.329 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 13.329 * [taylor]: Taking taylor expansion of 0.5 in k 13.329 * [backup-simplify]: Simplify 0.5 into 0.5 13.329 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.329 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.329 * [taylor]: Taking taylor expansion of k in k 13.329 * [backup-simplify]: Simplify 0 into 0 13.329 * [backup-simplify]: Simplify 1 into 1 13.329 * [backup-simplify]: Simplify (/ 1 1) into 1 13.329 * [taylor]: Taking taylor expansion of 1.0 in k 13.329 * [backup-simplify]: Simplify 1.0 into 1.0 13.329 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 13.329 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 13.329 * [taylor]: Taking taylor expansion of -2.0 in k 13.329 * [backup-simplify]: Simplify -2.0 into -2.0 13.329 * [taylor]: Taking taylor expansion of (/ PI n) in k 13.329 * [taylor]: Taking taylor expansion of PI in k 13.329 * [backup-simplify]: Simplify PI into PI 13.329 * [taylor]: Taking taylor expansion of n in k 13.330 * [backup-simplify]: Simplify n into n 13.330 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 13.330 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 13.330 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 13.330 * [backup-simplify]: Simplify (+ 1 0) into 1 13.331 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 13.331 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 13.331 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 13.331 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 13.331 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 13.331 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 13.331 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 13.332 * [taylor]: Taking taylor expansion of 0.5 in n 13.332 * [backup-simplify]: Simplify 0.5 into 0.5 13.332 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 13.332 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.332 * [taylor]: Taking taylor expansion of k in n 13.332 * [backup-simplify]: Simplify k into k 13.332 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.332 * [taylor]: Taking taylor expansion of 1.0 in n 13.332 * [backup-simplify]: Simplify 1.0 into 1.0 13.332 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 13.332 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 13.332 * [taylor]: Taking taylor expansion of -2.0 in n 13.332 * [backup-simplify]: Simplify -2.0 into -2.0 13.332 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.332 * [taylor]: Taking taylor expansion of PI in n 13.332 * [backup-simplify]: Simplify PI into PI 13.332 * [taylor]: Taking taylor expansion of n in n 13.332 * [backup-simplify]: Simplify 0 into 0 13.332 * [backup-simplify]: Simplify 1 into 1 13.333 * [backup-simplify]: Simplify (/ PI 1) into PI 13.334 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 13.335 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 13.335 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 13.336 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 13.337 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 13.339 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 13.340 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 13.340 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 13.340 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 13.340 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 13.340 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 13.340 * [taylor]: Taking taylor expansion of 0.5 in n 13.341 * [backup-simplify]: Simplify 0.5 into 0.5 13.341 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 13.341 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.341 * [taylor]: Taking taylor expansion of k in n 13.341 * [backup-simplify]: Simplify k into k 13.341 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.341 * [taylor]: Taking taylor expansion of 1.0 in n 13.341 * [backup-simplify]: Simplify 1.0 into 1.0 13.341 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 13.341 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 13.341 * [taylor]: Taking taylor expansion of -2.0 in n 13.341 * [backup-simplify]: Simplify -2.0 into -2.0 13.341 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.341 * [taylor]: Taking taylor expansion of PI in n 13.341 * [backup-simplify]: Simplify PI into PI 13.341 * [taylor]: Taking taylor expansion of n in n 13.341 * [backup-simplify]: Simplify 0 into 0 13.341 * [backup-simplify]: Simplify 1 into 1 13.342 * [backup-simplify]: Simplify (/ PI 1) into PI 13.342 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 13.343 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 13.344 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 13.344 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 13.345 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 13.347 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 13.348 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 13.348 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 13.348 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 13.348 * [taylor]: Taking taylor expansion of 0.5 in k 13.348 * [backup-simplify]: Simplify 0.5 into 0.5 13.348 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 13.348 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.348 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.348 * [taylor]: Taking taylor expansion of k in k 13.348 * [backup-simplify]: Simplify 0 into 0 13.348 * [backup-simplify]: Simplify 1 into 1 13.348 * [backup-simplify]: Simplify (/ 1 1) into 1 13.348 * [taylor]: Taking taylor expansion of 1.0 in k 13.348 * [backup-simplify]: Simplify 1.0 into 1.0 13.348 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 13.348 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 13.348 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 13.348 * [taylor]: Taking taylor expansion of -2.0 in k 13.348 * [backup-simplify]: Simplify -2.0 into -2.0 13.348 * [taylor]: Taking taylor expansion of PI in k 13.348 * [backup-simplify]: Simplify PI into PI 13.349 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 13.349 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 13.349 * [taylor]: Taking taylor expansion of (log n) in k 13.349 * [taylor]: Taking taylor expansion of n in k 13.349 * [backup-simplify]: Simplify n into n 13.349 * [backup-simplify]: Simplify (log n) into (log n) 13.350 * [backup-simplify]: Simplify (+ 1 0) into 1 13.350 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 13.351 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 13.351 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 13.352 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 13.353 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 13.355 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 13.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.357 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 13.358 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 13.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 13.358 * [backup-simplify]: Simplify (+ 0 0) into 0 13.359 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 13.363 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 13.364 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 13.365 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.365 * [taylor]: Taking taylor expansion of 0 in k 13.365 * [backup-simplify]: Simplify 0 into 0 13.365 * [backup-simplify]: Simplify 0 into 0 13.365 * [backup-simplify]: Simplify 0 into 0 13.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.367 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.369 * [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 13.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.369 * [backup-simplify]: Simplify (+ 0 0) into 0 13.370 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 13.371 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 13.372 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 13.373 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.373 * [taylor]: Taking taylor expansion of 0 in k 13.373 * [backup-simplify]: Simplify 0 into 0 13.373 * [backup-simplify]: Simplify 0 into 0 13.373 * [backup-simplify]: Simplify 0 into 0 13.373 * [backup-simplify]: Simplify 0 into 0 13.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.375 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.378 * [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 13.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.379 * [backup-simplify]: Simplify (+ 0 0) into 0 13.380 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 13.381 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 13.382 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 13.383 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.383 * [taylor]: Taking taylor expansion of 0 in k 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [backup-simplify]: Simplify 0 into 0 13.384 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 13.384 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 1) 13.384 * [backup-simplify]: Simplify (cbrt k) into (pow k 1/3) 13.385 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 13.385 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 13.385 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 13.385 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 13.385 * [taylor]: Taking taylor expansion of 1/3 in k 13.385 * [backup-simplify]: Simplify 1/3 into 1/3 13.385 * [taylor]: Taking taylor expansion of (log k) in k 13.385 * [taylor]: Taking taylor expansion of k in k 13.385 * [backup-simplify]: Simplify 0 into 0 13.385 * [backup-simplify]: Simplify 1 into 1 13.385 * [backup-simplify]: Simplify (log 1) into 0 13.385 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.385 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 13.385 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 13.385 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 13.385 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 13.385 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 13.385 * [taylor]: Taking taylor expansion of 1/3 in k 13.385 * [backup-simplify]: Simplify 1/3 into 1/3 13.385 * [taylor]: Taking taylor expansion of (log k) in k 13.386 * [taylor]: Taking taylor expansion of k in k 13.386 * [backup-simplify]: Simplify 0 into 0 13.386 * [backup-simplify]: Simplify 1 into 1 13.386 * [backup-simplify]: Simplify (log 1) into 0 13.386 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.386 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 13.386 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 13.386 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 13.387 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.387 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.388 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log k))) into 0 13.388 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 13.388 * [backup-simplify]: Simplify 0 into 0 13.390 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.390 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.391 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log k)))) into 0 13.392 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.392 * [backup-simplify]: Simplify 0 into 0 13.394 * [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 13.395 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.396 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 13.397 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.397 * [backup-simplify]: Simplify 0 into 0 13.403 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 13.403 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.404 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 13.406 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.406 * [backup-simplify]: Simplify 0 into 0 13.421 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 13.422 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.424 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 13.428 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.428 * [backup-simplify]: Simplify 0 into 0 13.462 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 13.463 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.465 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 13.472 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.472 * [backup-simplify]: Simplify 0 into 0 13.472 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 13.472 * [backup-simplify]: Simplify (cbrt (/ 1 k)) into (pow (/ 1 k) 1/3) 13.472 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 13.472 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 13.472 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 13.472 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 13.472 * [taylor]: Taking taylor expansion of 1/3 in k 13.472 * [backup-simplify]: Simplify 1/3 into 1/3 13.472 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 13.472 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.472 * [taylor]: Taking taylor expansion of k in k 13.472 * [backup-simplify]: Simplify 0 into 0 13.472 * [backup-simplify]: Simplify 1 into 1 13.473 * [backup-simplify]: Simplify (/ 1 1) into 1 13.473 * [backup-simplify]: Simplify (log 1) into 0 13.474 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.474 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 13.474 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 13.474 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 13.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 13.474 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 13.474 * [taylor]: Taking taylor expansion of 1/3 in k 13.474 * [backup-simplify]: Simplify 1/3 into 1/3 13.474 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 13.474 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.474 * [taylor]: Taking taylor expansion of k in k 13.474 * [backup-simplify]: Simplify 0 into 0 13.474 * [backup-simplify]: Simplify 1 into 1 13.475 * [backup-simplify]: Simplify (/ 1 1) into 1 13.475 * [backup-simplify]: Simplify (log 1) into 0 13.476 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.476 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 13.476 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 13.476 * [backup-simplify]: Simplify (pow k -1/3) into (pow k -1/3) 13.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.478 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.479 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.479 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 13.480 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 13.480 * [backup-simplify]: Simplify 0 into 0 13.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.484 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.485 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.490 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 13.492 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.492 * [backup-simplify]: Simplify 0 into 0 13.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.498 * [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 13.499 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.500 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 13.502 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.502 * [backup-simplify]: Simplify 0 into 0 13.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.514 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 13.515 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.517 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 13.519 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.519 * [backup-simplify]: Simplify 0 into 0 13.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.530 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 13.531 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.533 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 13.535 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.535 * [backup-simplify]: Simplify 0 into 0 13.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.555 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 13.556 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.557 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 13.561 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.561 * [backup-simplify]: Simplify 0 into 0 13.561 * [backup-simplify]: Simplify (pow (/ 1 k) -1/3) into (pow (/ 1 k) -1/3) 13.561 * [backup-simplify]: Simplify (cbrt (/ 1 (- k))) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 13.561 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 13.562 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 13.562 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 13.562 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 13.562 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 13.562 * [taylor]: Taking taylor expansion of 1/3 in k 13.562 * [backup-simplify]: Simplify 1/3 into 1/3 13.562 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 13.562 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.562 * [taylor]: Taking taylor expansion of k in k 13.562 * [backup-simplify]: Simplify 0 into 0 13.562 * [backup-simplify]: Simplify 1 into 1 13.562 * [backup-simplify]: Simplify (/ 1 1) into 1 13.562 * [backup-simplify]: Simplify (log 1) into 0 13.563 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.563 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 13.563 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 13.563 * [taylor]: Taking taylor expansion of (cbrt -1) in k 13.563 * [taylor]: Taking taylor expansion of -1 in k 13.563 * [backup-simplify]: Simplify -1 into -1 13.564 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 13.564 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 13.564 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 13.564 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 13.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 13.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 13.564 * [taylor]: Taking taylor expansion of 1/3 in k 13.564 * [backup-simplify]: Simplify 1/3 into 1/3 13.564 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 13.564 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.564 * [taylor]: Taking taylor expansion of k in k 13.564 * [backup-simplify]: Simplify 0 into 0 13.564 * [backup-simplify]: Simplify 1 into 1 13.565 * [backup-simplify]: Simplify (/ 1 1) into 1 13.565 * [backup-simplify]: Simplify (log 1) into 0 13.565 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.565 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 13.565 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 13.565 * [taylor]: Taking taylor expansion of (cbrt -1) in k 13.565 * [taylor]: Taking taylor expansion of -1 in k 13.565 * [backup-simplify]: Simplify -1 into -1 13.566 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 13.566 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 13.567 * [backup-simplify]: Simplify (* (pow k -1/3) (cbrt -1)) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 13.567 * [backup-simplify]: Simplify (* (pow (/ 1 k) 1/3) (cbrt -1)) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 13.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.569 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.569 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.569 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 13.570 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 13.570 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (* 0 (cbrt -1))) into 0 13.570 * [backup-simplify]: Simplify 0 into 0 13.572 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 13.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.574 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.574 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.575 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 13.576 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.578 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 13.578 * [backup-simplify]: Simplify 0 into 0 13.580 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 13.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.587 * [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 13.587 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.588 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 13.590 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.591 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 13.591 * [backup-simplify]: Simplify 0 into 0 13.593 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 13.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.606 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 13.607 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.609 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 13.611 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.619 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 13.619 * [backup-simplify]: Simplify 0 into 0 13.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 13.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.640 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 13.641 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.643 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 13.647 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.649 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 13.649 * [backup-simplify]: Simplify 0 into 0 13.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 13.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.684 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 13.685 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.687 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 13.694 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.696 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 13.696 * [backup-simplify]: Simplify 0 into 0 13.696 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1)) into (* (pow (* -1 k) 1/3) (cbrt -1)) 13.697 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 1 1) 13.697 * [backup-simplify]: Simplify (cbrt k) into (pow k 1/3) 13.697 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 13.697 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 13.697 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 13.697 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 13.697 * [taylor]: Taking taylor expansion of 1/3 in k 13.697 * [backup-simplify]: Simplify 1/3 into 1/3 13.697 * [taylor]: Taking taylor expansion of (log k) in k 13.697 * [taylor]: Taking taylor expansion of k in k 13.697 * [backup-simplify]: Simplify 0 into 0 13.697 * [backup-simplify]: Simplify 1 into 1 13.697 * [backup-simplify]: Simplify (log 1) into 0 13.698 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.698 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 13.698 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 13.698 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 13.698 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 13.698 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 13.698 * [taylor]: Taking taylor expansion of 1/3 in k 13.698 * [backup-simplify]: Simplify 1/3 into 1/3 13.698 * [taylor]: Taking taylor expansion of (log k) in k 13.698 * [taylor]: Taking taylor expansion of k in k 13.698 * [backup-simplify]: Simplify 0 into 0 13.698 * [backup-simplify]: Simplify 1 into 1 13.699 * [backup-simplify]: Simplify (log 1) into 0 13.699 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.699 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 13.699 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 13.700 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 13.701 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.701 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.702 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log k))) into 0 13.703 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 13.703 * [backup-simplify]: Simplify 0 into 0 13.705 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.706 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.707 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log k)))) into 0 13.708 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.708 * [backup-simplify]: Simplify 0 into 0 13.714 * [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 13.715 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.716 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 13.718 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.718 * [backup-simplify]: Simplify 0 into 0 13.730 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 13.731 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.733 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 13.736 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.736 * [backup-simplify]: Simplify 0 into 0 13.756 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 13.756 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.758 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 13.760 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.760 * [backup-simplify]: Simplify 0 into 0 13.782 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 13.783 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.784 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 13.788 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.788 * [backup-simplify]: Simplify 0 into 0 13.789 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 13.789 * [backup-simplify]: Simplify (cbrt (/ 1 k)) into (pow (/ 1 k) 1/3) 13.789 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 13.789 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 13.789 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 13.789 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 13.789 * [taylor]: Taking taylor expansion of 1/3 in k 13.789 * [backup-simplify]: Simplify 1/3 into 1/3 13.789 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 13.789 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.789 * [taylor]: Taking taylor expansion of k in k 13.789 * [backup-simplify]: Simplify 0 into 0 13.789 * [backup-simplify]: Simplify 1 into 1 13.790 * [backup-simplify]: Simplify (/ 1 1) into 1 13.790 * [backup-simplify]: Simplify (log 1) into 0 13.791 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.791 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 13.791 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 13.791 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 13.791 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 13.791 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 13.791 * [taylor]: Taking taylor expansion of 1/3 in k 13.791 * [backup-simplify]: Simplify 1/3 into 1/3 13.791 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 13.791 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.791 * [taylor]: Taking taylor expansion of k in k 13.791 * [backup-simplify]: Simplify 0 into 0 13.791 * [backup-simplify]: Simplify 1 into 1 13.792 * [backup-simplify]: Simplify (/ 1 1) into 1 13.792 * [backup-simplify]: Simplify (log 1) into 0 13.793 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.793 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 13.793 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 13.793 * [backup-simplify]: Simplify (pow k -1/3) into (pow k -1/3) 13.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.795 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.796 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.796 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 13.797 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 13.797 * [backup-simplify]: Simplify 0 into 0 13.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.801 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.802 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.803 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 13.805 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.805 * [backup-simplify]: Simplify 0 into 0 13.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.812 * [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 13.812 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.814 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 13.816 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.816 * [backup-simplify]: Simplify 0 into 0 13.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.828 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 13.829 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.830 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 13.834 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.834 * [backup-simplify]: Simplify 0 into 0 13.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.854 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 13.854 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.856 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 13.861 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.861 * [backup-simplify]: Simplify 0 into 0 13.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.898 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 13.899 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.902 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 13.908 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.908 * [backup-simplify]: Simplify 0 into 0 13.908 * [backup-simplify]: Simplify (pow (/ 1 k) -1/3) into (pow (/ 1 k) -1/3) 13.908 * [backup-simplify]: Simplify (cbrt (/ 1 (- k))) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 13.908 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 13.909 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 13.909 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 13.909 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 13.909 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 13.909 * [taylor]: Taking taylor expansion of 1/3 in k 13.909 * [backup-simplify]: Simplify 1/3 into 1/3 13.909 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 13.909 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.909 * [taylor]: Taking taylor expansion of k in k 13.909 * [backup-simplify]: Simplify 0 into 0 13.909 * [backup-simplify]: Simplify 1 into 1 13.909 * [backup-simplify]: Simplify (/ 1 1) into 1 13.910 * [backup-simplify]: Simplify (log 1) into 0 13.910 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.910 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 13.910 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 13.910 * [taylor]: Taking taylor expansion of (cbrt -1) in k 13.910 * [taylor]: Taking taylor expansion of -1 in k 13.911 * [backup-simplify]: Simplify -1 into -1 13.911 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 13.912 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 13.912 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 13.912 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 13.912 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 13.912 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 13.912 * [taylor]: Taking taylor expansion of 1/3 in k 13.912 * [backup-simplify]: Simplify 1/3 into 1/3 13.912 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 13.912 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.912 * [taylor]: Taking taylor expansion of k in k 13.912 * [backup-simplify]: Simplify 0 into 0 13.912 * [backup-simplify]: Simplify 1 into 1 13.912 * [backup-simplify]: Simplify (/ 1 1) into 1 13.913 * [backup-simplify]: Simplify (log 1) into 0 13.914 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.914 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 13.914 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 13.914 * [taylor]: Taking taylor expansion of (cbrt -1) in k 13.914 * [taylor]: Taking taylor expansion of -1 in k 13.914 * [backup-simplify]: Simplify -1 into -1 13.914 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 13.915 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 13.916 * [backup-simplify]: Simplify (* (pow k -1/3) (cbrt -1)) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 13.916 * [backup-simplify]: Simplify (* (pow (/ 1 k) 1/3) (cbrt -1)) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 13.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.919 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.919 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.920 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 13.921 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 13.921 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (* 0 (cbrt -1))) into 0 13.921 * [backup-simplify]: Simplify 0 into 0 13.923 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 13.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.927 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.928 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.939 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 13.941 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.942 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 13.942 * [backup-simplify]: Simplify 0 into 0 13.943 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 13.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.950 * [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 13.951 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.952 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 13.954 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.955 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 13.955 * [backup-simplify]: Simplify 0 into 0 13.957 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 13.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.971 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 13.972 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.973 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 13.976 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.978 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 13.978 * [backup-simplify]: Simplify 0 into 0 13.979 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 13.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.998 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 13.998 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 14.000 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 14.005 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.006 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 14.006 * [backup-simplify]: Simplify 0 into 0 14.008 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 14.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.044 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 14.045 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 14.047 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 14.052 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.054 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 14.054 * [backup-simplify]: Simplify 0 into 0 14.054 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1)) into (* (pow (* -1 k) 1/3) (cbrt -1)) 14.054 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 14.054 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) into (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))) 14.054 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))) in (k) around 0 14.054 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))) in k 14.054 * [taylor]: Taking taylor expansion of 1.0 in k 14.055 * [backup-simplify]: Simplify 1.0 into 1.0 14.055 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12)) in k 14.055 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow k 1/3)))) in k 14.055 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 14.055 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 14.055 * [backup-simplify]: Simplify (fabs (pow k 1/3)) into (fabs (pow k 1/3)) 14.055 * [backup-simplify]: Simplify (/ 1 (fabs (pow k 1/3))) into (/ 1 (fabs (pow k 1/3))) 14.055 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow k 1/3)))) into (sqrt (/ 1 (fabs (pow k 1/3)))) 14.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))))) into 0 14.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 14.055 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/12) in k 14.055 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (/ 1 k)))) in k 14.055 * [taylor]: Taking taylor expansion of (* 1/12 (log (/ 1 k))) in k 14.056 * [taylor]: Taking taylor expansion of 1/12 in k 14.056 * [backup-simplify]: Simplify 1/12 into 1/12 14.056 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 14.056 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.056 * [taylor]: Taking taylor expansion of k in k 14.056 * [backup-simplify]: Simplify 0 into 0 14.056 * [backup-simplify]: Simplify 1 into 1 14.056 * [backup-simplify]: Simplify (/ 1 1) into 1 14.056 * [backup-simplify]: Simplify (log 1) into 0 14.057 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 14.057 * [backup-simplify]: Simplify (* 1/12 (- (log k))) into (* -1/12 (log k)) 14.057 * [backup-simplify]: Simplify (exp (* -1/12 (log k))) into (pow k -1/12) 14.057 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))) in k 14.057 * [taylor]: Taking taylor expansion of 1.0 in k 14.057 * [backup-simplify]: Simplify 1.0 into 1.0 14.057 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12)) in k 14.057 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow k 1/3)))) in k 14.057 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 14.057 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 14.057 * [backup-simplify]: Simplify (fabs (pow k 1/3)) into (fabs (pow k 1/3)) 14.057 * [backup-simplify]: Simplify (/ 1 (fabs (pow k 1/3))) into (/ 1 (fabs (pow k 1/3))) 14.057 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow k 1/3)))) into (sqrt (/ 1 (fabs (pow k 1/3)))) 14.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))))) into 0 14.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 14.057 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/12) in k 14.057 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (/ 1 k)))) in k 14.057 * [taylor]: Taking taylor expansion of (* 1/12 (log (/ 1 k))) in k 14.058 * [taylor]: Taking taylor expansion of 1/12 in k 14.058 * [backup-simplify]: Simplify 1/12 into 1/12 14.058 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 14.058 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.058 * [taylor]: Taking taylor expansion of k in k 14.058 * [backup-simplify]: Simplify 0 into 0 14.058 * [backup-simplify]: Simplify 1 into 1 14.058 * [backup-simplify]: Simplify (/ 1 1) into 1 14.058 * [backup-simplify]: Simplify (log 1) into 0 14.058 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 14.058 * [backup-simplify]: Simplify (* 1/12 (- (log k))) into (* -1/12 (log k)) 14.059 * [backup-simplify]: Simplify (exp (* -1/12 (log k))) into (pow k -1/12) 14.059 * [backup-simplify]: Simplify (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow k -1/12)) into (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12)) 14.059 * [backup-simplify]: Simplify (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))) into (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))) 14.059 * [backup-simplify]: Simplify (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))) into (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))) 14.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.061 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.061 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 14.061 * [backup-simplify]: Simplify (+ (* 1/12 0) (* 0 (- (log k)))) into 0 14.062 * [backup-simplify]: Simplify (* (exp (* -1/12 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 14.062 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (* 0 (pow k -1/12))) into 0 14.063 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12)))) into 0 14.063 * [backup-simplify]: Simplify 0 into 0 14.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.065 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 14.065 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 14.066 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 14.067 * [backup-simplify]: Simplify (* (exp (* -1/12 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 14.068 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 14.068 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (* 0 (pow k -1/12)))) into 0 14.069 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))))) into 0 14.069 * [backup-simplify]: Simplify 0 into 0 14.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.072 * [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 14.073 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 14.074 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 14.075 * [backup-simplify]: Simplify (* (exp (* -1/12 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 14.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 14.076 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/12))))) into 0 14.077 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12)))))) into 0 14.077 * [backup-simplify]: Simplify 0 into 0 14.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.096 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 14.097 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 14.098 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 14.100 * [backup-simplify]: Simplify (* (exp (* -1/12 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 14.101 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 14.102 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/12)))))) into 0 14.103 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))))))) into 0 14.103 * [backup-simplify]: Simplify 0 into 0 14.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.114 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 14.115 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 14.116 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 14.119 * [backup-simplify]: Simplify (* (exp (* -1/12 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 14.120 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 14.122 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/12))))))) into 0 14.123 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12)))))))) into 0 14.123 * [backup-simplify]: Simplify 0 into 0 14.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.142 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 14.142 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 14.144 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 14.151 * [backup-simplify]: Simplify (* (exp (* -1/12 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 14.153 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 14.155 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/12)))))))) into 0 14.158 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))))))))) into 0 14.158 * [backup-simplify]: Simplify 0 into 0 14.159 * [backup-simplify]: Simplify (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))) into (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))) 14.159 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (fabs (cbrt (/ 1 k))))) (sqrt (sqrt (cbrt (/ 1 k))))) into (* 1.0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) 14.159 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) in (k) around 0 14.159 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) in k 14.160 * [taylor]: Taking taylor expansion of 1.0 in k 14.160 * [backup-simplify]: Simplify 1.0 into 1.0 14.160 * [taylor]: Taking taylor expansion of (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))) in k 14.160 * [taylor]: Taking taylor expansion of (pow k 1/12) in k 14.160 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log k))) in k 14.160 * [taylor]: Taking taylor expansion of (* 1/12 (log k)) in k 14.160 * [taylor]: Taking taylor expansion of 1/12 in k 14.160 * [backup-simplify]: Simplify 1/12 into 1/12 14.160 * [taylor]: Taking taylor expansion of (log k) in k 14.160 * [taylor]: Taking taylor expansion of k in k 14.160 * [backup-simplify]: Simplify 0 into 0 14.160 * [backup-simplify]: Simplify 1 into 1 14.160 * [backup-simplify]: Simplify (log 1) into 0 14.161 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.161 * [backup-simplify]: Simplify (* 1/12 (log k)) into (* 1/12 (log k)) 14.161 * [backup-simplify]: Simplify (exp (* 1/12 (log k))) into (pow k 1/12) 14.161 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) in k 14.161 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 14.161 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 14.162 * [backup-simplify]: Simplify (fabs (pow (/ 1 k) 1/3)) into (fabs (pow (/ 1 k) 1/3)) 14.162 * [backup-simplify]: Simplify (/ 1 (fabs (pow (/ 1 k) 1/3))) into (/ 1 (fabs (pow (/ 1 k) 1/3))) 14.162 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) into (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) 14.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.163 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) in k 14.163 * [taylor]: Taking taylor expansion of 1.0 in k 14.163 * [backup-simplify]: Simplify 1.0 into 1.0 14.163 * [taylor]: Taking taylor expansion of (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))) in k 14.163 * [taylor]: Taking taylor expansion of (pow k 1/12) in k 14.163 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log k))) in k 14.163 * [taylor]: Taking taylor expansion of (* 1/12 (log k)) in k 14.163 * [taylor]: Taking taylor expansion of 1/12 in k 14.163 * [backup-simplify]: Simplify 1/12 into 1/12 14.163 * [taylor]: Taking taylor expansion of (log k) in k 14.163 * [taylor]: Taking taylor expansion of k in k 14.163 * [backup-simplify]: Simplify 0 into 0 14.163 * [backup-simplify]: Simplify 1 into 1 14.163 * [backup-simplify]: Simplify (log 1) into 0 14.164 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.164 * [backup-simplify]: Simplify (* 1/12 (log k)) into (* 1/12 (log k)) 14.164 * [backup-simplify]: Simplify (exp (* 1/12 (log k))) into (pow k 1/12) 14.164 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) in k 14.164 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 14.164 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 14.164 * [backup-simplify]: Simplify (fabs (pow (/ 1 k) 1/3)) into (fabs (pow (/ 1 k) 1/3)) 14.165 * [backup-simplify]: Simplify (/ 1 (fabs (pow (/ 1 k) 1/3))) into (/ 1 (fabs (pow (/ 1 k) 1/3))) 14.165 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) into (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) 14.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.166 * [backup-simplify]: Simplify (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))) into (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))) 14.166 * [backup-simplify]: Simplify (* 1.0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into (* 1.0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) 14.166 * [backup-simplify]: Simplify (* 1.0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into (* 1.0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) 14.168 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.168 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.169 * [backup-simplify]: Simplify (+ (* 1/12 0) (* 0 (log k))) into 0 14.170 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 14.170 * [backup-simplify]: Simplify (+ (* (pow k 1/12) 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.171 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))) into 0 14.171 * [backup-simplify]: Simplify 0 into 0 14.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.173 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.175 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 14.176 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.176 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (log k)))) into 0 14.177 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.178 * [backup-simplify]: Simplify (+ (* (pow k 1/12) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))) into 0 14.178 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))) into 0 14.179 * [backup-simplify]: Simplify 0 into 0 14.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.183 * [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 14.183 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.184 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 14.185 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.186 * [backup-simplify]: Simplify (+ (* (pow k 1/12) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))) into 0 14.187 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))))) into 0 14.187 * [backup-simplify]: Simplify 0 into 0 14.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.188 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.194 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 14.195 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.196 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 14.197 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.199 * [backup-simplify]: Simplify (+ (* (pow k 1/12) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))))) into 0 14.200 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))))) into 0 14.200 * [backup-simplify]: Simplify 0 into 0 14.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.210 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.226 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 14.227 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.228 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 14.230 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.232 * [backup-simplify]: Simplify (+ (* (pow k 1/12) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))))) into 0 14.233 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))))))) into 0 14.233 * [backup-simplify]: Simplify 0 into 0 14.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.235 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.257 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 14.257 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.259 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 14.262 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.264 * [backup-simplify]: Simplify (+ (* (pow k 1/12) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))))))) into 0 14.266 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow k 1/12) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))))))) into 0 14.266 * [backup-simplify]: Simplify 0 into 0 14.266 * [backup-simplify]: Simplify (* 1.0 (* (pow (/ 1 k) 1/12) (sqrt (/ 1 (fabs (pow (/ 1 (/ 1 k)) 1/3)))))) into (* 1.0 (* (pow (/ 1 k) 1/12) (sqrt (/ 1 (fabs (pow k 1/3)))))) 14.266 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (fabs (cbrt (/ 1 (- k)))))) (sqrt (sqrt (cbrt (/ 1 (- k)))))) into (* 1.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))) 14.266 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))) in (k) around 0 14.266 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))) in k 14.266 * [taylor]: Taking taylor expansion of 1.0 in k 14.267 * [backup-simplify]: Simplify 1.0 into 1.0 14.267 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12))) in k 14.267 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) in k 14.267 * [taylor]: Taking taylor expansion of (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) in k 14.267 * [taylor]: Taking taylor expansion of (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) in k 14.267 * [backup-simplify]: Simplify (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) into (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) 14.268 * [backup-simplify]: Simplify (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) into (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) 14.268 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) into (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 14.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 14.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 14.269 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)) in k 14.269 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/4) in k 14.269 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (cbrt -1))))) in k 14.270 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (cbrt -1)))) in k 14.270 * [taylor]: Taking taylor expansion of 1/4 in k 14.270 * [backup-simplify]: Simplify 1/4 into 1/4 14.270 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in k 14.270 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 14.270 * [taylor]: Taking taylor expansion of (cbrt -1) in k 14.270 * [taylor]: Taking taylor expansion of -1 in k 14.270 * [backup-simplify]: Simplify -1 into -1 14.270 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 14.271 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 14.271 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 14.273 * [backup-simplify]: Simplify (log (/ 1 (cbrt -1))) into (log (/ 1 (cbrt -1))) 14.274 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (cbrt -1)))) into (* 1/4 (log (/ 1 (cbrt -1)))) 14.276 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (cbrt -1))))) into (pow (/ 1 (cbrt -1)) 1/4) 14.276 * [taylor]: Taking taylor expansion of (pow k 1/12) in k 14.276 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log k))) in k 14.276 * [taylor]: Taking taylor expansion of (* 1/12 (log k)) in k 14.276 * [taylor]: Taking taylor expansion of 1/12 in k 14.276 * [backup-simplify]: Simplify 1/12 into 1/12 14.276 * [taylor]: Taking taylor expansion of (log k) in k 14.276 * [taylor]: Taking taylor expansion of k in k 14.276 * [backup-simplify]: Simplify 0 into 0 14.276 * [backup-simplify]: Simplify 1 into 1 14.277 * [backup-simplify]: Simplify (log 1) into 0 14.277 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.277 * [backup-simplify]: Simplify (* 1/12 (log k)) into (* 1/12 (log k)) 14.277 * [backup-simplify]: Simplify (exp (* 1/12 (log k))) into (pow k 1/12) 14.277 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))) in k 14.277 * [taylor]: Taking taylor expansion of 1.0 in k 14.277 * [backup-simplify]: Simplify 1.0 into 1.0 14.277 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12))) in k 14.277 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) in k 14.277 * [taylor]: Taking taylor expansion of (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) in k 14.277 * [taylor]: Taking taylor expansion of (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) in k 14.278 * [backup-simplify]: Simplify (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) into (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) 14.278 * [backup-simplify]: Simplify (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) into (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) 14.278 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) into (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 14.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 14.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 14.280 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)) in k 14.280 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/4) in k 14.280 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (cbrt -1))))) in k 14.280 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (cbrt -1)))) in k 14.280 * [taylor]: Taking taylor expansion of 1/4 in k 14.280 * [backup-simplify]: Simplify 1/4 into 1/4 14.280 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in k 14.280 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 14.280 * [taylor]: Taking taylor expansion of (cbrt -1) in k 14.280 * [taylor]: Taking taylor expansion of -1 in k 14.280 * [backup-simplify]: Simplify -1 into -1 14.280 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 14.281 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 14.282 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 14.283 * [backup-simplify]: Simplify (log (/ 1 (cbrt -1))) into (log (/ 1 (cbrt -1))) 14.284 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (cbrt -1)))) into (* 1/4 (log (/ 1 (cbrt -1)))) 14.286 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (cbrt -1))))) into (pow (/ 1 (cbrt -1)) 1/4) 14.286 * [taylor]: Taking taylor expansion of (pow k 1/12) in k 14.286 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log k))) in k 14.286 * [taylor]: Taking taylor expansion of (* 1/12 (log k)) in k 14.286 * [taylor]: Taking taylor expansion of 1/12 in k 14.286 * [backup-simplify]: Simplify 1/12 into 1/12 14.286 * [taylor]: Taking taylor expansion of (log k) in k 14.286 * [taylor]: Taking taylor expansion of k in k 14.286 * [backup-simplify]: Simplify 0 into 0 14.286 * [backup-simplify]: Simplify 1 into 1 14.287 * [backup-simplify]: Simplify (log 1) into 0 14.287 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.287 * [backup-simplify]: Simplify (* 1/12 (log k)) into (* 1/12 (log k)) 14.287 * [backup-simplify]: Simplify (exp (* 1/12 (log k))) into (pow k 1/12) 14.288 * [backup-simplify]: Simplify (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)) into (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4)) 14.290 * [backup-simplify]: Simplify (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4))) into (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12))) 14.292 * [backup-simplify]: Simplify (* 1.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))) into (* 1.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))) 14.293 * [backup-simplify]: Simplify (* 1.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))) into (* 1.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))) 14.294 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.295 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.295 * [backup-simplify]: Simplify (+ (* 1/12 0) (* 0 (log k))) into 0 14.295 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 14.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 14.297 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 1) into 0 14.299 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (cbrt -1))))) into 0 14.300 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 1) 1)))) into 0 14.301 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (cbrt -1)) 1/4) 0) (* 0 (pow k 1/12))) into 0 14.303 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 0) (* 0 (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4)))) into 0 14.306 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12))))) into 0 14.306 * [backup-simplify]: Simplify 0 into 0 14.309 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 14.309 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.310 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (log k)))) into 0 14.312 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 14.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 14.328 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (cbrt -1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 2) into 0 14.331 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (cbrt -1)))))) into 0 14.334 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.336 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (cbrt -1)) 1/4) 0) (+ (* 0 0) (* 0 (pow k 1/12)))) into 0 14.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 14.339 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 14.343 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 0) (+ (* 0 0) (* 0 (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4))))) into 0 14.346 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))))) into 0 14.346 * [backup-simplify]: Simplify 0 into 0 14.352 * [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 14.353 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.354 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 14.356 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.358 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 14.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 14.366 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (cbrt -1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (cbrt -1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 6) into 0 14.368 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (cbrt -1))))))) into 0 14.371 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.374 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (cbrt -1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/12))))) into 0 14.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 14.378 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 14.381 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4)))))) into 0 14.383 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12))))))) into 0 14.383 * [backup-simplify]: Simplify 0 into 0 14.389 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 14.390 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.391 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 14.392 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.393 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 14.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 14.402 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 1 (cbrt -1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 1 (cbrt -1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 1 (cbrt -1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 1 (cbrt -1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 24) into 0 14.404 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (cbrt -1)))))))) into 0 14.406 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.408 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (cbrt -1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/12)))))) into 0 14.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 14.411 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 14.413 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4))))))) into 0 14.416 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))))))) into 0 14.416 * [backup-simplify]: Simplify 0 into 0 14.426 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 14.427 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.428 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 14.430 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.432 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 14.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 14.452 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 1 (cbrt -1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 1 (cbrt -1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 1 (cbrt -1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 1 (cbrt -1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 1 (cbrt -1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 1 (cbrt -1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 120) into 0 14.454 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (cbrt -1))))))))) into 0 14.457 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.459 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (cbrt -1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/12))))))) into 0 14.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 14.463 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 14.465 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4)))))))) into 0 14.468 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12))))))))) into 0 14.468 * [backup-simplify]: Simplify 0 into 0 14.501 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 14.501 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.503 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 14.506 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 14.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 14.528 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 1 (cbrt -1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 1 (cbrt -1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 1 (cbrt -1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 1 (cbrt -1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 1 (cbrt -1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 1 (cbrt -1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 1 (cbrt -1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 1 (cbrt -1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 1 (cbrt -1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 1 (cbrt -1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 720) into 0 14.530 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (cbrt -1)))))))))) into 0 14.534 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.537 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (cbrt -1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/12)))))))) into 0 14.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* 0 (/ 0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 14.541 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into 0 14.545 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4))))))))) into 0 14.548 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))))))))) into 0 14.548 * [backup-simplify]: Simplify 0 into 0 14.550 * [backup-simplify]: Simplify (* 1.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow (/ 1 (- k)) 1/12)))) into (* 1.0 (* (pow (/ -1 k) 1/12) (* (pow (/ 1 (cbrt -1)) 1/4) (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1)))))))) 14.550 * * * [progress]: simplifying candidates 14.566 * [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 (cbrt k)) (log1p (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (expm1 (cbrt k)) (log1p (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (expm1 (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (log1p (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (- (- (log 1.0) (log (sqrt (fabs (cbrt k))))) (log (sqrt (sqrt (cbrt k))))) (- (log (/ 1.0 (sqrt (fabs (cbrt k))))) (log (sqrt (sqrt (cbrt k))))) (log (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (exp (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (fabs (cbrt k))) (sqrt (fabs (cbrt k)))) (sqrt (fabs (cbrt k))))) (* (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (* (* (/ 1.0 (sqrt (fabs (cbrt k)))) (/ 1.0 (sqrt (fabs (cbrt k))))) (/ 1.0 (sqrt (fabs (cbrt k))))) (* (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k))))) (* (cbrt (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (cbrt (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))))) (cbrt (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (* (* (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (sqrt (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (sqrt (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (- (/ 1.0 (sqrt (fabs (cbrt k))))) (- (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k)))))) (/ (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (sqrt (sqrt (cbrt k))))) (/ (* (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (sqrt (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k)))))) (/ (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt (cbrt k))))) (/ (* (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (sqrt (sqrt (cbrt (* (cbrt k) (cbrt k)))))) (/ (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (cbrt k))))) (/ (* (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (sqrt (sqrt (cbrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (sqrt k))))) (/ (* (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (sqrt (sqrt (cbrt 1)))) (/ (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (sqrt (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k)))))) (/ (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (cbrt k))))) (/ (* (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (* (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (sqrt (sqrt 1))) (/ (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (* (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (sqrt 1)) (/ (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (* (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) 1) (/ (cbrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (cbrt (sqrt (sqrt (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k)))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (* (cbrt k) (cbrt k)))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt 1)))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k)))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt 1))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt 1)) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) 1) (/ (sqrt (/ 1.0 (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (fabs (cbrt k)))) (cbrt (sqrt (fabs (cbrt k)))))) (* 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(sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt 1)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) 1) (/ (sqrt (sqrt (cbrt k))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (sqrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (cbrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (sqrt (cbrt k))) (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (cbrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (sqrt (cbrt k))) (/ (sqrt 1.0) (cbrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (cbrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (cbrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (fabs (cbrt k))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (fabs (cbrt k))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (fabs (cbrt k))))) (/ (sqrt (sqrt (cbrt k))) (/ 1 (sqrt (fabs (cbrt k))))) (* (sqrt (sqrt (cbrt k))) (sqrt (fabs (cbrt k)))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/12))) (* 1.0 (* (pow (/ 1 k) 1/12) (sqrt (/ 1 (fabs (pow k 1/3)))))) (* 1.0 (* (pow (/ -1 k) 1/12) (* (pow (/ 1 (cbrt -1)) 1/4) (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1)))))))) 14.580 * * [simplify]: Extracting # 0 : cost 0 14.581 * * [simplify]: Extracting # 1 : cost 0 14.582 * * [simplify]: Extracting # 2 : cost 0 14.583 * * [simplify]: Extracting # 3 : cost 0 14.585 * * [simplify]: Extracting # 4 : cost 0 14.586 * * [simplify]: Extracting # 5 : cost 0 14.587 * * [simplify]: Extracting # 6 : cost 0 14.589 * * [simplify]: Extracting # 7 : cost 0 14.590 * * [simplify]: Extracting # 8 : cost 0 14.591 * * [simplify]: Extracting # 9 : cost 0 14.592 * * [simplify]: Extracting # 10 : cost 0 14.593 * * [simplify]: Extracting # 11 : cost 0 14.594 * * [simplify]: Extracting # 12 : cost 0 14.595 * * [simplify]: Extracting # 13 : cost 0 14.596 * * [simplify]: iteration 0 : 555 enodes (cost 9033 ) 14.874 * * [simplify]: Extracting # 0 : cost 0 14.877 * * [simplify]: Extracting # 1 : cost 0 14.881 * * [simplify]: Extracting # 2 : cost 0 14.885 * * [simplify]: Extracting # 3 : cost 0 14.888 * * [simplify]: Extracting # 4 : cost 0 14.893 * * [simplify]: Extracting # 5 : cost 0 14.896 * * [simplify]: Extracting # 6 : cost 0 14.900 * * [simplify]: Extracting # 7 : cost 0 14.904 * * [simplify]: iteration 1 : 1234 enodes (cost 8064 ) 15.358 * * [simplify]: Extracting # 0 : cost 0 15.364 * * [simplify]: Extracting # 1 : cost 0 15.371 * * [simplify]: Extracting # 2 : cost 0 15.378 * * [simplify]: Extracting # 3 : cost 0 15.385 * * [simplify]: Extracting # 4 : cost 0 15.399 * * [simplify]: Extracting # 5 : cost 0 15.406 * * [simplify]: Extracting # 6 : cost 0 15.413 * * [simplify]: iteration 2 : 2841 enodes (cost 7922 ) 16.548 * * [simplify]: Extracting # 0 : cost 0 16.558 * * [simplify]: Extracting # 1 : cost 0 16.563 * * [simplify]: Extracting # 2 : cost 0 16.570 * * [simplify]: Extracting # 3 : cost 0 16.575 * * [simplify]: Extracting # 4 : cost 0 16.582 * * [simplify]: iteration done: 5000 enodes (cost 7913 ) 16.585 * [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))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 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(sqrt (cbrt k)))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k))))) (/ 1 (fabs (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt (cbrt k))))) (/ 1 (sqrt (sqrt (cbrt (pow k 2/3))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k))))) (/ 1 (sqrt (sqrt (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (sqrt k))))) 1 (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k))))) (/ 1 (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) 1 (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) 1 (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) 1 (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (fabs (cbrt k))))) (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k)))))) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (cbrt (sqrt (sqrt (cbrt k))))) (/ (/ 1 (sqrt (sqrt (fabs (cbrt k))))) (fabs (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt (cbrt k))))) (/ (/ 1 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (pow k 2/3))))) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (cbrt k))))) (/ (/ 1 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (sqrt k))))) (/ 1 (sqrt (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (fabs (cbrt (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (cbrt k))))) (/ (/ 1 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ 1 (sqrt (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ 1 (sqrt (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k))))) (/ 1 (sqrt (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ 1 (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k)))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k))))) (/ 1 (fabs (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt (cbrt k))))) (/ 1 (sqrt (sqrt (cbrt (pow k 2/3))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k))))) (/ 1 (sqrt (sqrt (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (sqrt k))))) 1 (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k))))) (/ 1 (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) 1 (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) 1 (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) 1 (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k)))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k))))) (/ 1 (fabs (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt (cbrt k))))) (/ 1 (sqrt (sqrt (cbrt (pow k 2/3))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k))))) (/ 1 (sqrt (sqrt (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (sqrt k))))) 1 (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k))))) (/ 1 (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) 1 (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) 1 (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) 1 (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k)))))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k))))) (/ 1.0 (fabs (cbrt (sqrt (cbrt k))))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt (cbrt k))))) (/ 1.0 (sqrt (sqrt (cbrt (pow k 2/3))))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k))))) (/ 1.0 (sqrt (sqrt (cbrt (sqrt k))))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (sqrt k))))) 1.0 (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (fabs (cbrt (cbrt k))))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k))))) (/ 1.0 (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) 1.0 (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) 1.0 (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt (cbrt k))))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) 1.0 (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k)))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (fabs (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (pow k 2/3))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (sqrt k))))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ 1.0 (* (sqrt (fabs (cbrt (cbrt k)))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k))))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ (sqrt (sqrt (cbrt k))) (cbrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (sqrt (/ 1.0 (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (cbrt 1.0) (cbrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (cbrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (sqrt (cbrt k))) (/ (cbrt 1.0) (sqrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (cbrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (sqrt (cbrt k))) (/ (sqrt 1.0) (cbrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (cbrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (cbrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (fabs (cbrt k))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt (fabs (cbrt k)))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (fabs (cbrt k))))) (/ (sqrt (sqrt (cbrt k))) (/ 1.0 (sqrt (fabs (cbrt k))))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (fma (* 0.125 (pow k 2)) (fma (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5) (* (pow (log n) 2) (pow (* (* 2.0 PI) n) 0.5))) (- (fma (* 0.25 (pow k 2)) (* (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5)) (log n)) (pow (* (* 2.0 PI) n) 0.5)) (* (* 0.5 k) (fma (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5) (* (log n) (pow (* (* 2.0 PI) n) 0.5)))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (cbrt k) (pow (/ 1 k) -1/3) (* (cbrt -1) (cbrt (- k))) (cbrt k) (pow (/ 1 k) -1/3) (* (cbrt -1) (cbrt (- k))) (* (* 1.0 (sqrt (/ 1 (fabs (cbrt k))))) (pow (/ 1 k) 1/12)) (* (* 1.0 (sqrt (/ 1 (fabs (cbrt k))))) (pow (/ 1 k) 1/12)) (* 1.0 (* (* (pow (/ -1 k) 1/12) (pow (/ 1 (cbrt -1)) 1/4)) (sqrt (/ 1 (fabs (* (cbrt -1) (cbrt (- k)))))))) 16.597 * * * [progress]: adding candidates to table 18.698 * * [progress]: iteration 4 / 4 18.698 * * * [progress]: picking best candidate 18.745 * * * * [pick]: Picked # 18.746 * * * [progress]: localizing error 18.784 * * * [progress]: generating rewritten candidates 18.784 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 18.814 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 18.826 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 18.838 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 18.877 * * * [progress]: generating series expansions 18.877 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 18.878 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 18.878 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 18.878 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 18.878 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 18.878 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 18.878 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 18.878 * [taylor]: Taking taylor expansion of 0.5 in k 18.878 * [backup-simplify]: Simplify 0.5 into 0.5 18.878 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 18.878 * [taylor]: Taking taylor expansion of 1.0 in k 18.878 * [backup-simplify]: Simplify 1.0 into 1.0 18.878 * [taylor]: Taking taylor expansion of k in k 18.878 * [backup-simplify]: Simplify 0 into 0 18.878 * [backup-simplify]: Simplify 1 into 1 18.878 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 18.878 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 18.878 * [taylor]: Taking taylor expansion of 2.0 in k 18.878 * [backup-simplify]: Simplify 2.0 into 2.0 18.878 * [taylor]: Taking taylor expansion of (* n PI) in k 18.878 * [taylor]: Taking taylor expansion of n in k 18.878 * [backup-simplify]: Simplify n into n 18.878 * [taylor]: Taking taylor expansion of PI in k 18.878 * [backup-simplify]: Simplify PI into PI 18.878 * [backup-simplify]: Simplify (* n PI) into (* n PI) 18.878 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 18.878 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 18.879 * [backup-simplify]: Simplify (- 0) into 0 18.879 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 18.879 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 18.879 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 18.879 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 18.879 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 18.879 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 18.879 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 18.879 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 18.880 * [taylor]: Taking taylor expansion of 0.5 in n 18.880 * [backup-simplify]: Simplify 0.5 into 0.5 18.880 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 18.880 * [taylor]: Taking taylor expansion of 1.0 in n 18.880 * [backup-simplify]: Simplify 1.0 into 1.0 18.880 * [taylor]: Taking taylor expansion of k in n 18.880 * [backup-simplify]: Simplify k into k 18.880 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 18.880 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 18.880 * [taylor]: Taking taylor expansion of 2.0 in n 18.880 * [backup-simplify]: Simplify 2.0 into 2.0 18.880 * [taylor]: Taking taylor expansion of (* n PI) in n 18.880 * [taylor]: Taking taylor expansion of n in n 18.880 * [backup-simplify]: Simplify 0 into 0 18.880 * [backup-simplify]: Simplify 1 into 1 18.880 * [taylor]: Taking taylor expansion of PI in n 18.880 * [backup-simplify]: Simplify PI into PI 18.880 * [backup-simplify]: Simplify (* 0 PI) into 0 18.880 * [backup-simplify]: Simplify (* 2.0 0) into 0 18.881 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.882 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 18.883 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.883 * [backup-simplify]: Simplify (- k) into (- k) 18.883 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 18.883 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 18.884 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 18.885 * [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)))) 18.886 * [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))))) 18.886 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 18.886 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 18.886 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 18.886 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 18.886 * [taylor]: Taking taylor expansion of 0.5 in n 18.886 * [backup-simplify]: Simplify 0.5 into 0.5 18.886 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 18.886 * [taylor]: Taking taylor expansion of 1.0 in n 18.886 * [backup-simplify]: Simplify 1.0 into 1.0 18.886 * [taylor]: Taking taylor expansion of k in n 18.886 * [backup-simplify]: Simplify k into k 18.886 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 18.886 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 18.886 * [taylor]: Taking taylor expansion of 2.0 in n 18.886 * [backup-simplify]: Simplify 2.0 into 2.0 18.886 * [taylor]: Taking taylor expansion of (* n PI) in n 18.886 * [taylor]: Taking taylor expansion of n in n 18.886 * [backup-simplify]: Simplify 0 into 0 18.886 * [backup-simplify]: Simplify 1 into 1 18.886 * [taylor]: Taking taylor expansion of PI in n 18.886 * [backup-simplify]: Simplify PI into PI 18.886 * [backup-simplify]: Simplify (* 0 PI) into 0 18.887 * [backup-simplify]: Simplify (* 2.0 0) into 0 18.888 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.889 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 18.889 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.889 * [backup-simplify]: Simplify (- k) into (- k) 18.889 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 18.889 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 18.890 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 18.891 * [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)))) 18.892 * [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))))) 18.892 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 18.892 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 18.892 * [taylor]: Taking taylor expansion of 0.5 in k 18.892 * [backup-simplify]: Simplify 0.5 into 0.5 18.892 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 18.892 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 18.892 * [taylor]: Taking taylor expansion of 1.0 in k 18.892 * [backup-simplify]: Simplify 1.0 into 1.0 18.892 * [taylor]: Taking taylor expansion of k in k 18.892 * [backup-simplify]: Simplify 0 into 0 18.892 * [backup-simplify]: Simplify 1 into 1 18.892 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 18.892 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 18.892 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 18.892 * [taylor]: Taking taylor expansion of 2.0 in k 18.892 * [backup-simplify]: Simplify 2.0 into 2.0 18.892 * [taylor]: Taking taylor expansion of PI in k 18.892 * [backup-simplify]: Simplify PI into PI 18.893 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.893 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.893 * [taylor]: Taking taylor expansion of (log n) in k 18.894 * [taylor]: Taking taylor expansion of n in k 18.894 * [backup-simplify]: Simplify n into n 18.894 * [backup-simplify]: Simplify (log n) into (log n) 18.894 * [backup-simplify]: Simplify (- 0) into 0 18.894 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 18.895 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 18.895 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 18.896 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 18.897 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 18.898 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 18.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 18.899 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 18.900 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 18.900 * [backup-simplify]: Simplify (- 0) into 0 18.900 * [backup-simplify]: Simplify (+ 0 0) into 0 18.901 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 18.902 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 18.902 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 18.904 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.904 * [taylor]: Taking taylor expansion of 0 in k 18.904 * [backup-simplify]: Simplify 0 into 0 18.904 * [backup-simplify]: Simplify 0 into 0 18.909 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 18.912 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 18.913 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 18.913 * [backup-simplify]: Simplify (+ 0 0) into 0 18.913 * [backup-simplify]: Simplify (- 1) into -1 18.914 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.915 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 18.918 * [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)))) 18.921 * [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)))))) 18.924 * [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)))))) 18.926 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 18.927 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 18.930 * [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 18.931 * [backup-simplify]: Simplify (- 0) into 0 18.931 * [backup-simplify]: Simplify (+ 0 0) into 0 18.932 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 18.934 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 18.936 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 18.938 * [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 18.938 * [taylor]: Taking taylor expansion of 0 in k 18.938 * [backup-simplify]: Simplify 0 into 0 18.938 * [backup-simplify]: Simplify 0 into 0 18.938 * [backup-simplify]: Simplify 0 into 0 18.939 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 18.943 * [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 18.945 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 18.945 * [backup-simplify]: Simplify (+ 0 0) into 0 18.946 * [backup-simplify]: Simplify (- 0) into 0 18.946 * [backup-simplify]: Simplify (+ 0 0) into 0 18.948 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 18.951 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 18.955 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 18.961 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 18.972 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 18.973 * [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)))) 18.973 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 18.973 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 18.973 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 18.973 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 18.973 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 18.973 * [taylor]: Taking taylor expansion of 0.5 in k 18.973 * [backup-simplify]: Simplify 0.5 into 0.5 18.973 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 18.973 * [taylor]: Taking taylor expansion of 1.0 in k 18.973 * [backup-simplify]: Simplify 1.0 into 1.0 18.973 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.973 * [taylor]: Taking taylor expansion of k in k 18.974 * [backup-simplify]: Simplify 0 into 0 18.974 * [backup-simplify]: Simplify 1 into 1 18.974 * [backup-simplify]: Simplify (/ 1 1) into 1 18.974 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 18.974 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 18.974 * [taylor]: Taking taylor expansion of 2.0 in k 18.974 * [backup-simplify]: Simplify 2.0 into 2.0 18.974 * [taylor]: Taking taylor expansion of (/ PI n) in k 18.974 * [taylor]: Taking taylor expansion of PI in k 18.974 * [backup-simplify]: Simplify PI into PI 18.974 * [taylor]: Taking taylor expansion of n in k 18.974 * [backup-simplify]: Simplify n into n 18.974 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 18.974 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 18.974 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 18.975 * [backup-simplify]: Simplify (- 1) into -1 18.975 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.976 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 18.976 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 18.976 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 18.976 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 18.976 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 18.976 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 18.976 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 18.976 * [taylor]: Taking taylor expansion of 0.5 in n 18.976 * [backup-simplify]: Simplify 0.5 into 0.5 18.976 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 18.977 * [taylor]: Taking taylor expansion of 1.0 in n 18.977 * [backup-simplify]: Simplify 1.0 into 1.0 18.977 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.977 * [taylor]: Taking taylor expansion of k in n 18.977 * [backup-simplify]: Simplify k into k 18.977 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.977 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 18.977 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 18.977 * [taylor]: Taking taylor expansion of 2.0 in n 18.977 * [backup-simplify]: Simplify 2.0 into 2.0 18.977 * [taylor]: Taking taylor expansion of (/ PI n) in n 18.977 * [taylor]: Taking taylor expansion of PI in n 18.977 * [backup-simplify]: Simplify PI into PI 18.977 * [taylor]: Taking taylor expansion of n in n 18.977 * [backup-simplify]: Simplify 0 into 0 18.977 * [backup-simplify]: Simplify 1 into 1 18.978 * [backup-simplify]: Simplify (/ PI 1) into PI 18.978 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.979 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.979 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 18.979 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 18.980 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 18.981 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 18.982 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 18.984 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 18.984 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 18.984 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 18.984 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 18.984 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 18.984 * [taylor]: Taking taylor expansion of 0.5 in n 18.984 * [backup-simplify]: Simplify 0.5 into 0.5 18.984 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 18.984 * [taylor]: Taking taylor expansion of 1.0 in n 18.984 * [backup-simplify]: Simplify 1.0 into 1.0 18.984 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.984 * [taylor]: Taking taylor expansion of k in n 18.984 * [backup-simplify]: Simplify k into k 18.984 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.984 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 18.984 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 18.984 * [taylor]: Taking taylor expansion of 2.0 in n 18.984 * [backup-simplify]: Simplify 2.0 into 2.0 18.984 * [taylor]: Taking taylor expansion of (/ PI n) in n 18.984 * [taylor]: Taking taylor expansion of PI in n 18.984 * [backup-simplify]: Simplify PI into PI 18.984 * [taylor]: Taking taylor expansion of n in n 18.984 * [backup-simplify]: Simplify 0 into 0 18.984 * [backup-simplify]: Simplify 1 into 1 18.985 * [backup-simplify]: Simplify (/ PI 1) into PI 18.985 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.986 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.987 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 18.987 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 18.987 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 18.988 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 18.990 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 18.991 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 18.991 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 18.991 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 18.991 * [taylor]: Taking taylor expansion of 0.5 in k 18.991 * [backup-simplify]: Simplify 0.5 into 0.5 18.991 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 18.991 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 18.991 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 18.991 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 18.991 * [taylor]: Taking taylor expansion of 2.0 in k 18.991 * [backup-simplify]: Simplify 2.0 into 2.0 18.991 * [taylor]: Taking taylor expansion of PI in k 18.991 * [backup-simplify]: Simplify PI into PI 18.992 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.993 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.993 * [taylor]: Taking taylor expansion of (log n) in k 18.993 * [taylor]: Taking taylor expansion of n in k 18.993 * [backup-simplify]: Simplify n into n 18.993 * [backup-simplify]: Simplify (log n) into (log n) 18.993 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 18.993 * [taylor]: Taking taylor expansion of 1.0 in k 18.993 * [backup-simplify]: Simplify 1.0 into 1.0 18.994 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.994 * [taylor]: Taking taylor expansion of k in k 18.994 * [backup-simplify]: Simplify 0 into 0 18.994 * [backup-simplify]: Simplify 1 into 1 18.994 * [backup-simplify]: Simplify (/ 1 1) into 1 18.994 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 18.995 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 18.996 * [backup-simplify]: Simplify (- 1) into -1 18.996 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.997 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 18.998 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 18.999 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 19.000 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 19.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 19.001 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 19.002 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 19.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 19.003 * [backup-simplify]: Simplify (- 0) into 0 19.003 * [backup-simplify]: Simplify (+ 0 0) into 0 19.003 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 19.004 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 19.005 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 19.006 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 19.006 * [taylor]: Taking taylor expansion of 0 in k 19.006 * [backup-simplify]: Simplify 0 into 0 19.006 * [backup-simplify]: Simplify 0 into 0 19.006 * [backup-simplify]: Simplify 0 into 0 19.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.008 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 19.009 * [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 19.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 19.010 * [backup-simplify]: Simplify (- 0) into 0 19.010 * [backup-simplify]: Simplify (+ 0 0) into 0 19.011 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 19.012 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 19.013 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 19.014 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 19.014 * [taylor]: Taking taylor expansion of 0 in k 19.014 * [backup-simplify]: Simplify 0 into 0 19.015 * [backup-simplify]: Simplify 0 into 0 19.015 * [backup-simplify]: Simplify 0 into 0 19.015 * [backup-simplify]: Simplify 0 into 0 19.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.016 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 19.020 * [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 19.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 19.021 * [backup-simplify]: Simplify (- 0) into 0 19.021 * [backup-simplify]: Simplify (+ 0 0) into 0 19.022 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 19.023 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 19.025 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 19.026 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 19.026 * [taylor]: Taking taylor expansion of 0 in k 19.026 * [backup-simplify]: Simplify 0 into 0 19.026 * [backup-simplify]: Simplify 0 into 0 19.027 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 19.028 * [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))) 19.028 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 19.028 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 19.028 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 19.028 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 19.028 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 19.028 * [taylor]: Taking taylor expansion of 0.5 in k 19.028 * [backup-simplify]: Simplify 0.5 into 0.5 19.028 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 19.028 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.028 * [taylor]: Taking taylor expansion of k in k 19.028 * [backup-simplify]: Simplify 0 into 0 19.028 * [backup-simplify]: Simplify 1 into 1 19.029 * [backup-simplify]: Simplify (/ 1 1) into 1 19.029 * [taylor]: Taking taylor expansion of 1.0 in k 19.029 * [backup-simplify]: Simplify 1.0 into 1.0 19.029 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 19.029 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 19.029 * [taylor]: Taking taylor expansion of -2.0 in k 19.029 * [backup-simplify]: Simplify -2.0 into -2.0 19.029 * [taylor]: Taking taylor expansion of (/ PI n) in k 19.029 * [taylor]: Taking taylor expansion of PI in k 19.029 * [backup-simplify]: Simplify PI into PI 19.029 * [taylor]: Taking taylor expansion of n in k 19.029 * [backup-simplify]: Simplify n into n 19.029 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 19.029 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 19.029 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 19.029 * [backup-simplify]: Simplify (+ 1 0) into 1 19.030 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 19.030 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 19.030 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 19.030 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 19.030 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 19.030 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 19.030 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 19.030 * [taylor]: Taking taylor expansion of 0.5 in n 19.030 * [backup-simplify]: Simplify 0.5 into 0.5 19.030 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 19.030 * [taylor]: Taking taylor expansion of (/ 1 k) in n 19.030 * [taylor]: Taking taylor expansion of k in n 19.030 * [backup-simplify]: Simplify k into k 19.030 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 19.030 * [taylor]: Taking taylor expansion of 1.0 in n 19.030 * [backup-simplify]: Simplify 1.0 into 1.0 19.030 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 19.030 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 19.030 * [taylor]: Taking taylor expansion of -2.0 in n 19.030 * [backup-simplify]: Simplify -2.0 into -2.0 19.030 * [taylor]: Taking taylor expansion of (/ PI n) in n 19.030 * [taylor]: Taking taylor expansion of PI in n 19.030 * [backup-simplify]: Simplify PI into PI 19.030 * [taylor]: Taking taylor expansion of n in n 19.030 * [backup-simplify]: Simplify 0 into 0 19.030 * [backup-simplify]: Simplify 1 into 1 19.031 * [backup-simplify]: Simplify (/ PI 1) into PI 19.031 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 19.032 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 19.032 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 19.032 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 19.033 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 19.034 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 19.034 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 19.034 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 19.035 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 19.035 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 19.035 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 19.035 * [taylor]: Taking taylor expansion of 0.5 in n 19.035 * [backup-simplify]: Simplify 0.5 into 0.5 19.035 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 19.035 * [taylor]: Taking taylor expansion of (/ 1 k) in n 19.035 * [taylor]: Taking taylor expansion of k in n 19.035 * [backup-simplify]: Simplify k into k 19.035 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 19.035 * [taylor]: Taking taylor expansion of 1.0 in n 19.035 * [backup-simplify]: Simplify 1.0 into 1.0 19.035 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 19.035 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 19.035 * [taylor]: Taking taylor expansion of -2.0 in n 19.035 * [backup-simplify]: Simplify -2.0 into -2.0 19.035 * [taylor]: Taking taylor expansion of (/ PI n) in n 19.035 * [taylor]: Taking taylor expansion of PI in n 19.035 * [backup-simplify]: Simplify PI into PI 19.035 * [taylor]: Taking taylor expansion of n in n 19.035 * [backup-simplify]: Simplify 0 into 0 19.035 * [backup-simplify]: Simplify 1 into 1 19.035 * [backup-simplify]: Simplify (/ PI 1) into PI 19.036 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 19.036 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 19.036 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 19.036 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 19.037 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 19.038 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 19.039 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 19.039 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 19.039 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 19.039 * [taylor]: Taking taylor expansion of 0.5 in k 19.039 * [backup-simplify]: Simplify 0.5 into 0.5 19.039 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 19.039 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 19.039 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.039 * [taylor]: Taking taylor expansion of k in k 19.039 * [backup-simplify]: Simplify 0 into 0 19.039 * [backup-simplify]: Simplify 1 into 1 19.045 * [backup-simplify]: Simplify (/ 1 1) into 1 19.045 * [taylor]: Taking taylor expansion of 1.0 in k 19.045 * [backup-simplify]: Simplify 1.0 into 1.0 19.045 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 19.045 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 19.046 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 19.046 * [taylor]: Taking taylor expansion of -2.0 in k 19.046 * [backup-simplify]: Simplify -2.0 into -2.0 19.046 * [taylor]: Taking taylor expansion of PI in k 19.046 * [backup-simplify]: Simplify PI into PI 19.046 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 19.047 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 19.047 * [taylor]: Taking taylor expansion of (log n) in k 19.047 * [taylor]: Taking taylor expansion of n in k 19.047 * [backup-simplify]: Simplify n into n 19.047 * [backup-simplify]: Simplify (log n) into (log n) 19.047 * [backup-simplify]: Simplify (+ 1 0) into 1 19.048 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 19.049 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 19.050 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 19.051 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 19.053 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 19.054 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 19.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 19.056 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 19.058 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 19.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 19.058 * [backup-simplify]: Simplify (+ 0 0) into 0 19.059 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 19.060 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 19.062 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 19.063 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 19.064 * [taylor]: Taking taylor expansion of 0 in k 19.064 * [backup-simplify]: Simplify 0 into 0 19.064 * [backup-simplify]: Simplify 0 into 0 19.064 * [backup-simplify]: Simplify 0 into 0 19.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.065 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 19.067 * [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 19.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 19.067 * [backup-simplify]: Simplify (+ 0 0) into 0 19.068 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 19.069 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 19.070 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 19.071 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 19.071 * [taylor]: Taking taylor expansion of 0 in k 19.071 * [backup-simplify]: Simplify 0 into 0 19.071 * [backup-simplify]: Simplify 0 into 0 19.071 * [backup-simplify]: Simplify 0 into 0 19.071 * [backup-simplify]: Simplify 0 into 0 19.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.073 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 19.076 * [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 19.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 19.077 * [backup-simplify]: Simplify (+ 0 0) into 0 19.077 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 19.078 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 19.079 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 19.081 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 19.081 * [taylor]: Taking taylor expansion of 0 in k 19.081 * [backup-simplify]: Simplify 0 into 0 19.081 * [backup-simplify]: Simplify 0 into 0 19.082 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 19.082 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 19.083 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 19.083 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 19.083 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 19.083 * [taylor]: Taking taylor expansion of 1.0 in k 19.083 * [backup-simplify]: Simplify 1.0 into 1.0 19.083 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 19.083 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.083 * [taylor]: Taking taylor expansion of k in k 19.083 * [backup-simplify]: Simplify 0 into 0 19.083 * [backup-simplify]: Simplify 1 into 1 19.083 * [backup-simplify]: Simplify (/ 1 1) into 1 19.084 * [backup-simplify]: Simplify (sqrt 0) into 0 19.085 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 19.085 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 19.085 * [taylor]: Taking taylor expansion of 1.0 in k 19.085 * [backup-simplify]: Simplify 1.0 into 1.0 19.085 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 19.085 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.085 * [taylor]: Taking taylor expansion of k in k 19.085 * [backup-simplify]: Simplify 0 into 0 19.085 * [backup-simplify]: Simplify 1 into 1 19.086 * [backup-simplify]: Simplify (/ 1 1) into 1 19.086 * [backup-simplify]: Simplify (sqrt 0) into 0 19.087 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 19.088 * [backup-simplify]: Simplify (* 1.0 0) into 0 19.088 * [backup-simplify]: Simplify 0 into 0 19.089 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 19.090 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.094 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 19.096 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 19.096 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.101 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 19.104 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 19.104 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.106 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 19.106 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 19.106 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 19.106 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 19.106 * [taylor]: Taking taylor expansion of 1.0 in k 19.106 * [backup-simplify]: Simplify 1.0 into 1.0 19.106 * [taylor]: Taking taylor expansion of (sqrt k) in k 19.106 * [taylor]: Taking taylor expansion of k in k 19.106 * [backup-simplify]: Simplify 0 into 0 19.106 * [backup-simplify]: Simplify 1 into 1 19.107 * [backup-simplify]: Simplify (sqrt 0) into 0 19.108 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 19.108 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 19.108 * [taylor]: Taking taylor expansion of 1.0 in k 19.108 * [backup-simplify]: Simplify 1.0 into 1.0 19.108 * [taylor]: Taking taylor expansion of (sqrt k) in k 19.108 * [taylor]: Taking taylor expansion of k in k 19.108 * [backup-simplify]: Simplify 0 into 0 19.109 * [backup-simplify]: Simplify 1 into 1 19.109 * [backup-simplify]: Simplify (sqrt 0) into 0 19.110 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 19.111 * [backup-simplify]: Simplify (* 1.0 0) into 0 19.111 * [backup-simplify]: Simplify 0 into 0 19.112 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 19.113 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.116 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 19.118 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 19.118 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.122 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 19.125 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 19.125 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.127 * [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)))))))) 19.127 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 19.127 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 19.127 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 19.127 * [taylor]: Taking taylor expansion of 1.0 in k 19.127 * [backup-simplify]: Simplify 1.0 into 1.0 19.127 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 19.127 * [taylor]: Taking taylor expansion of (/ -1 k) in k 19.127 * [taylor]: Taking taylor expansion of -1 in k 19.127 * [backup-simplify]: Simplify -1 into -1 19.127 * [taylor]: Taking taylor expansion of k in k 19.127 * [backup-simplify]: Simplify 0 into 0 19.127 * [backup-simplify]: Simplify 1 into 1 19.128 * [backup-simplify]: Simplify (/ -1 1) into -1 19.128 * [backup-simplify]: Simplify (sqrt 0) into 0 19.129 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 19.130 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 19.130 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 19.130 * [taylor]: Taking taylor expansion of 1.0 in k 19.130 * [backup-simplify]: Simplify 1.0 into 1.0 19.130 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 19.130 * [taylor]: Taking taylor expansion of (/ -1 k) in k 19.130 * [taylor]: Taking taylor expansion of -1 in k 19.130 * [backup-simplify]: Simplify -1 into -1 19.130 * [taylor]: Taking taylor expansion of k in k 19.130 * [backup-simplify]: Simplify 0 into 0 19.130 * [backup-simplify]: Simplify 1 into 1 19.131 * [backup-simplify]: Simplify (/ -1 1) into -1 19.131 * [backup-simplify]: Simplify (sqrt 0) into 0 19.132 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 19.133 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 19.133 * [backup-simplify]: Simplify +nan.0 into +nan.0 19.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 19.137 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 19.139 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 19.140 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 19.149 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 19.149 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.150 * [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))))) 19.150 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 19.151 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 19.151 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 19.151 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 19.151 * [taylor]: Taking taylor expansion of 1.0 in k 19.151 * [backup-simplify]: Simplify 1.0 into 1.0 19.151 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 19.151 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.151 * [taylor]: Taking taylor expansion of k in k 19.151 * [backup-simplify]: Simplify 0 into 0 19.151 * [backup-simplify]: Simplify 1 into 1 19.151 * [backup-simplify]: Simplify (/ 1 1) into 1 19.152 * [backup-simplify]: Simplify (sqrt 0) into 0 19.153 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 19.153 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 19.153 * [taylor]: Taking taylor expansion of 1.0 in k 19.153 * [backup-simplify]: Simplify 1.0 into 1.0 19.153 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 19.153 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.153 * [taylor]: Taking taylor expansion of k in k 19.153 * [backup-simplify]: Simplify 0 into 0 19.153 * [backup-simplify]: Simplify 1 into 1 19.153 * [backup-simplify]: Simplify (/ 1 1) into 1 19.154 * [backup-simplify]: Simplify (sqrt 0) into 0 19.155 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 19.156 * [backup-simplify]: Simplify (* 1.0 0) into 0 19.156 * [backup-simplify]: Simplify 0 into 0 19.157 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 19.157 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.161 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 19.163 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 19.164 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.169 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 19.171 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 19.171 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.173 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 19.173 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 19.173 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 19.173 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 19.173 * [taylor]: Taking taylor expansion of 1.0 in k 19.173 * [backup-simplify]: Simplify 1.0 into 1.0 19.173 * [taylor]: Taking taylor expansion of (sqrt k) in k 19.173 * [taylor]: Taking taylor expansion of k in k 19.173 * [backup-simplify]: Simplify 0 into 0 19.173 * [backup-simplify]: Simplify 1 into 1 19.173 * [backup-simplify]: Simplify (sqrt 0) into 0 19.175 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 19.175 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 19.175 * [taylor]: Taking taylor expansion of 1.0 in k 19.175 * [backup-simplify]: Simplify 1.0 into 1.0 19.175 * [taylor]: Taking taylor expansion of (sqrt k) in k 19.175 * [taylor]: Taking taylor expansion of k in k 19.175 * [backup-simplify]: Simplify 0 into 0 19.175 * [backup-simplify]: Simplify 1 into 1 19.175 * [backup-simplify]: Simplify (sqrt 0) into 0 19.176 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 19.177 * [backup-simplify]: Simplify (* 1.0 0) into 0 19.177 * [backup-simplify]: Simplify 0 into 0 19.187 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 19.188 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.191 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 19.193 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 19.194 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 19.200 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 19.200 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.202 * [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)))))))) 19.202 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 19.202 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 19.202 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 19.202 * [taylor]: Taking taylor expansion of 1.0 in k 19.202 * [backup-simplify]: Simplify 1.0 into 1.0 19.202 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 19.202 * [taylor]: Taking taylor expansion of (/ -1 k) in k 19.202 * [taylor]: Taking taylor expansion of -1 in k 19.202 * [backup-simplify]: Simplify -1 into -1 19.202 * [taylor]: Taking taylor expansion of k in k 19.202 * [backup-simplify]: Simplify 0 into 0 19.202 * [backup-simplify]: Simplify 1 into 1 19.203 * [backup-simplify]: Simplify (/ -1 1) into -1 19.203 * [backup-simplify]: Simplify (sqrt 0) into 0 19.205 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 19.205 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 19.205 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 19.205 * [taylor]: Taking taylor expansion of 1.0 in k 19.205 * [backup-simplify]: Simplify 1.0 into 1.0 19.205 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 19.205 * [taylor]: Taking taylor expansion of (/ -1 k) in k 19.205 * [taylor]: Taking taylor expansion of -1 in k 19.205 * [backup-simplify]: Simplify -1 into -1 19.205 * [taylor]: Taking taylor expansion of k in k 19.205 * [backup-simplify]: Simplify 0 into 0 19.205 * [backup-simplify]: Simplify 1 into 1 19.206 * [backup-simplify]: Simplify (/ -1 1) into -1 19.206 * [backup-simplify]: Simplify (sqrt 0) into 0 19.207 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 19.208 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 19.208 * [backup-simplify]: Simplify +nan.0 into +nan.0 19.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 19.212 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 19.215 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 19.215 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.220 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 19.224 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 19.225 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.226 * [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))))) 19.226 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 19.227 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 19.227 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 19.227 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 19.227 * [taylor]: Taking taylor expansion of 2.0 in n 19.227 * [backup-simplify]: Simplify 2.0 into 2.0 19.227 * [taylor]: Taking taylor expansion of (* n PI) in n 19.227 * [taylor]: Taking taylor expansion of n in n 19.227 * [backup-simplify]: Simplify 0 into 0 19.227 * [backup-simplify]: Simplify 1 into 1 19.227 * [taylor]: Taking taylor expansion of PI in n 19.227 * [backup-simplify]: Simplify PI into PI 19.227 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 19.227 * [taylor]: Taking taylor expansion of 2.0 in n 19.227 * [backup-simplify]: Simplify 2.0 into 2.0 19.227 * [taylor]: Taking taylor expansion of (* n PI) in n 19.227 * [taylor]: Taking taylor expansion of n in n 19.227 * [backup-simplify]: Simplify 0 into 0 19.227 * [backup-simplify]: Simplify 1 into 1 19.227 * [taylor]: Taking taylor expansion of PI in n 19.227 * [backup-simplify]: Simplify PI into PI 19.228 * [backup-simplify]: Simplify (* 0 PI) into 0 19.228 * [backup-simplify]: Simplify (* 2.0 0) into 0 19.228 * [backup-simplify]: Simplify 0 into 0 19.230 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 19.231 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 19.232 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.233 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 19.234 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 19.234 * [backup-simplify]: Simplify 0 into 0 19.235 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 19.237 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 19.237 * [backup-simplify]: Simplify 0 into 0 19.238 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 19.240 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 19.240 * [backup-simplify]: Simplify 0 into 0 19.241 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 19.243 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 19.243 * [backup-simplify]: Simplify 0 into 0 19.245 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 19.247 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 19.247 * [backup-simplify]: Simplify 0 into 0 19.249 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 19.251 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 19.251 * [backup-simplify]: Simplify 0 into 0 19.253 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 19.254 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 19.254 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 19.254 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 19.254 * [taylor]: Taking taylor expansion of 2.0 in n 19.254 * [backup-simplify]: Simplify 2.0 into 2.0 19.254 * [taylor]: Taking taylor expansion of (/ PI n) in n 19.254 * [taylor]: Taking taylor expansion of PI in n 19.254 * [backup-simplify]: Simplify PI into PI 19.254 * [taylor]: Taking taylor expansion of n in n 19.254 * [backup-simplify]: Simplify 0 into 0 19.254 * [backup-simplify]: Simplify 1 into 1 19.255 * [backup-simplify]: Simplify (/ PI 1) into PI 19.255 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 19.255 * [taylor]: Taking taylor expansion of 2.0 in n 19.255 * [backup-simplify]: Simplify 2.0 into 2.0 19.255 * [taylor]: Taking taylor expansion of (/ PI n) in n 19.255 * [taylor]: Taking taylor expansion of PI in n 19.255 * [backup-simplify]: Simplify PI into PI 19.255 * [taylor]: Taking taylor expansion of n in n 19.255 * [backup-simplify]: Simplify 0 into 0 19.255 * [backup-simplify]: Simplify 1 into 1 19.256 * [backup-simplify]: Simplify (/ PI 1) into PI 19.256 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.257 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 19.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 19.259 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 19.259 * [backup-simplify]: Simplify 0 into 0 19.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.261 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 19.261 * [backup-simplify]: Simplify 0 into 0 19.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.263 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 19.263 * [backup-simplify]: Simplify 0 into 0 19.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.266 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 19.266 * [backup-simplify]: Simplify 0 into 0 19.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.269 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 19.269 * [backup-simplify]: Simplify 0 into 0 19.271 * [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 19.273 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 19.273 * [backup-simplify]: Simplify 0 into 0 19.274 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 19.275 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 19.275 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 19.275 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 19.275 * [taylor]: Taking taylor expansion of -2.0 in n 19.275 * [backup-simplify]: Simplify -2.0 into -2.0 19.275 * [taylor]: Taking taylor expansion of (/ PI n) in n 19.275 * [taylor]: Taking taylor expansion of PI in n 19.275 * [backup-simplify]: Simplify PI into PI 19.275 * [taylor]: Taking taylor expansion of n in n 19.275 * [backup-simplify]: Simplify 0 into 0 19.275 * [backup-simplify]: Simplify 1 into 1 19.275 * [backup-simplify]: Simplify (/ PI 1) into PI 19.276 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 19.276 * [taylor]: Taking taylor expansion of -2.0 in n 19.276 * [backup-simplify]: Simplify -2.0 into -2.0 19.276 * [taylor]: Taking taylor expansion of (/ PI n) in n 19.276 * [taylor]: Taking taylor expansion of PI in n 19.276 * [backup-simplify]: Simplify PI into PI 19.276 * [taylor]: Taking taylor expansion of n in n 19.276 * [backup-simplify]: Simplify 0 into 0 19.276 * [backup-simplify]: Simplify 1 into 1 19.276 * [backup-simplify]: Simplify (/ PI 1) into PI 19.277 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 19.277 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 19.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 19.279 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 19.279 * [backup-simplify]: Simplify 0 into 0 19.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.281 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 19.281 * [backup-simplify]: Simplify 0 into 0 19.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.284 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 19.284 * [backup-simplify]: Simplify 0 into 0 19.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.286 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 19.286 * [backup-simplify]: Simplify 0 into 0 19.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.289 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 19.289 * [backup-simplify]: Simplify 0 into 0 19.290 * [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 19.292 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 19.292 * [backup-simplify]: Simplify 0 into 0 19.292 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 19.292 * * * [progress]: simplifying candidates 19.297 * [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 (/ 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))) (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 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 19.303 * * [simplify]: Extracting # 0 : cost 0 19.304 * * [simplify]: Extracting # 1 : cost 0 19.304 * * [simplify]: Extracting # 2 : cost 0 19.305 * * [simplify]: Extracting # 3 : cost 0 19.306 * * [simplify]: Extracting # 4 : cost 0 19.306 * * [simplify]: Extracting # 5 : cost 0 19.307 * * [simplify]: Extracting # 6 : cost 0 19.308 * * [simplify]: Extracting # 7 : cost 0 19.308 * * [simplify]: Extracting # 8 : cost 0 19.309 * * [simplify]: Extracting # 9 : cost 0 19.310 * * [simplify]: Extracting # 10 : cost 0 19.310 * * [simplify]: Extracting # 11 : cost 0 19.311 * * [simplify]: Extracting # 12 : cost 0 19.312 * * [simplify]: Extracting # 13 : cost 0 19.312 * * [simplify]: iteration 0 : 240 enodes (cost 1698 ) 19.414 * * [simplify]: Extracting # 0 : cost 0 19.415 * * [simplify]: Extracting # 1 : cost 0 19.417 * * [simplify]: Extracting # 2 : cost 0 19.418 * * [simplify]: Extracting # 3 : cost 0 19.420 * * [simplify]: Extracting # 4 : cost 0 19.421 * * [simplify]: Extracting # 5 : cost 0 19.423 * * [simplify]: Extracting # 6 : cost 0 19.424 * * [simplify]: Extracting # 7 : cost 0 19.425 * * [simplify]: iteration 1 : 571 enodes (cost 1560 ) 19.724 * * [simplify]: Extracting # 0 : cost 0 19.726 * * [simplify]: Extracting # 1 : cost 0 19.729 * * [simplify]: Extracting # 2 : cost 0 19.731 * * [simplify]: Extracting # 3 : cost 0 19.738 * * [simplify]: Extracting # 4 : cost 0 19.740 * * [simplify]: Extracting # 5 : cost 0 19.742 * * [simplify]: iteration 2 : 1748 enodes (cost 1456 ) 20.678 * * [simplify]: Extracting # 0 : cost 0 20.689 * * [simplify]: Extracting # 1 : cost 0 20.710 * * [simplify]: Extracting # 2 : cost 0 20.721 * * [simplify]: Extracting # 3 : cost 0 20.728 * * [simplify]: Extracting # 4 : cost 0 20.734 * * [simplify]: iteration done: 5000 enodes (cost 1434 ) 20.735 * [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))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* 2.0 (* PI n)) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (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))) (/ (/ (pow 1.0 3) k) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (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))) (/ (/ (pow 1.0 3) k) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (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)) (pow (* 2.0 (* PI n)) 3) (pow (* 2.0 (* PI n)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* PI n)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (fma (* 0.125 (pow k 2)) (* (pow (* 2.0 (* PI n)) 0.5) (+ (pow (log (* 2.0 PI)) 2) (pow (log n) 2))) (- (fma (* (* (pow k 2) (log (* 2.0 PI))) (* (log n) (pow (* 2.0 (* PI n)) 0.5))) 0.25 (pow (* 2.0 (* PI n)) 0.5)) (* (* (* 0.5 k) (pow (* 2.0 (* PI n)) 0.5)) (log (* 2.0 (* PI n)))))) (pow (pow (* 2.0 (* PI n)) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 (- k (* k k))) +nan.0)) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (- (/ +nan.0 k) +nan.0) (/ (- +nan.0) (pow k 2))) (- (+ (* +nan.0 (- k (* k k))) +nan.0)) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (- (/ +nan.0 k) +nan.0) (/ (- +nan.0) (pow k 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 20.736 * * * [progress]: adding candidates to table 21.465 * [progress]: [Phase 3 of 3] Extracting. 21.465 * * [regime]: Finding splitpoints for: (# # # # # # # #) 21.469 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 21.469 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 21.532 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 21.571 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 21.619 * * * [regime]: Found split indices: #