26.054 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 8.761 * * * [progress]: [2/2] Setting up program. 8.764 * [progress]: [Phase 2 of 3] Improving. 8.764 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 8.766 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 8.767 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 8.769 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 8.771 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 8.776 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 8.799 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 8.799 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 8.800 * * [progress]: iteration 1 / 4 8.800 * * * [progress]: picking best candidate 8.803 * * * * [pick]: Picked # 8.803 * * * [progress]: localizing error 8.820 * * * [progress]: generating rewritten candidates 8.820 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 8.824 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 8.828 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 8.837 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 8.853 * * * [progress]: generating series expansions 8.853 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 8.854 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.854 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.854 * [taylor]: Taking taylor expansion of 1.0 in k 8.854 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.854 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.854 * [taylor]: Taking taylor expansion of k in k 8.854 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.854 * [taylor]: Taking taylor expansion of 1.0 in k 8.854 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.854 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.854 * [taylor]: Taking taylor expansion of k in k 8.855 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.855 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.855 * [taylor]: Taking taylor expansion of 1.0 in k 8.855 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.855 * [taylor]: Taking taylor expansion of k in k 8.855 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.855 * [taylor]: Taking taylor expansion of 1.0 in k 8.855 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.855 * [taylor]: Taking taylor expansion of k in k 8.856 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.856 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.856 * [taylor]: Taking taylor expansion of 1.0 in k 8.856 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.856 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.856 * [taylor]: Taking taylor expansion of -1 in k 8.856 * [taylor]: Taking taylor expansion of k in k 8.856 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.856 * [taylor]: Taking taylor expansion of 1.0 in k 8.856 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.856 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.856 * [taylor]: Taking taylor expansion of -1 in k 8.857 * [taylor]: Taking taylor expansion of k in k 8.861 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 8.861 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 8.861 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.861 * [taylor]: Taking taylor expansion of 2.0 in n 8.861 * [taylor]: Taking taylor expansion of (* n PI) in n 8.861 * [taylor]: Taking taylor expansion of n in n 8.861 * [taylor]: Taking taylor expansion of PI in n 8.861 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.861 * [taylor]: Taking taylor expansion of 2.0 in n 8.861 * [taylor]: Taking taylor expansion of (* n PI) in n 8.861 * [taylor]: Taking taylor expansion of n in n 8.861 * [taylor]: Taking taylor expansion of PI in n 8.862 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 8.862 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.862 * [taylor]: Taking taylor expansion of 2.0 in n 8.862 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.862 * [taylor]: Taking taylor expansion of PI in n 8.862 * [taylor]: Taking taylor expansion of n in n 8.862 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.862 * [taylor]: Taking taylor expansion of 2.0 in n 8.862 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.862 * [taylor]: Taking taylor expansion of PI in n 8.862 * [taylor]: Taking taylor expansion of n in n 8.863 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 8.863 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.863 * [taylor]: Taking taylor expansion of -2.0 in n 8.863 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.863 * [taylor]: Taking taylor expansion of PI in n 8.863 * [taylor]: Taking taylor expansion of n in n 8.863 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.863 * [taylor]: Taking taylor expansion of -2.0 in n 8.863 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.863 * [taylor]: Taking taylor expansion of PI in n 8.863 * [taylor]: Taking taylor expansion of n in n 8.864 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 8.864 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 8.864 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.864 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.864 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.864 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.864 * [taylor]: Taking taylor expansion of 0.5 in k 8.864 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.865 * [taylor]: Taking taylor expansion of 1.0 in k 8.865 * [taylor]: Taking taylor expansion of k in k 8.865 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.865 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.865 * [taylor]: Taking taylor expansion of 2.0 in k 8.865 * [taylor]: Taking taylor expansion of (* n PI) in k 8.865 * [taylor]: Taking taylor expansion of n in k 8.865 * [taylor]: Taking taylor expansion of PI in k 8.865 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.865 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.865 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.865 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.865 * [taylor]: Taking taylor expansion of 0.5 in n 8.865 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.865 * [taylor]: Taking taylor expansion of 1.0 in n 8.865 * [taylor]: Taking taylor expansion of k in n 8.865 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.865 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.865 * [taylor]: Taking taylor expansion of 2.0 in n 8.865 * [taylor]: Taking taylor expansion of (* n PI) in n 8.865 * [taylor]: Taking taylor expansion of n in n 8.865 * [taylor]: Taking taylor expansion of PI in n 8.865 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.865 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.865 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.865 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.865 * [taylor]: Taking taylor expansion of 0.5 in n 8.865 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.865 * [taylor]: Taking taylor expansion of 1.0 in n 8.865 * [taylor]: Taking taylor expansion of k in n 8.865 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.865 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.865 * [taylor]: Taking taylor expansion of 2.0 in n 8.866 * [taylor]: Taking taylor expansion of (* n PI) in n 8.866 * [taylor]: Taking taylor expansion of n in n 8.866 * [taylor]: Taking taylor expansion of PI in n 8.866 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 8.866 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 8.866 * [taylor]: Taking taylor expansion of 0.5 in k 8.866 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 8.866 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.866 * [taylor]: Taking taylor expansion of 1.0 in k 8.866 * [taylor]: Taking taylor expansion of k in k 8.866 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 8.866 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.866 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.866 * [taylor]: Taking taylor expansion of 2.0 in k 8.866 * [taylor]: Taking taylor expansion of PI in k 8.866 * [taylor]: Taking taylor expansion of (log n) in k 8.866 * [taylor]: Taking taylor expansion of n in k 8.867 * [taylor]: Taking taylor expansion of 0 in k 8.868 * [taylor]: Taking taylor expansion of 0 in k 8.871 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.871 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.871 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.871 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.871 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.871 * [taylor]: Taking taylor expansion of 0.5 in k 8.871 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.871 * [taylor]: Taking taylor expansion of 1.0 in k 8.871 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.871 * [taylor]: Taking taylor expansion of k in k 8.871 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.871 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.871 * [taylor]: Taking taylor expansion of 2.0 in k 8.871 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.871 * [taylor]: Taking taylor expansion of PI in k 8.871 * [taylor]: Taking taylor expansion of n in k 8.871 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.871 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.871 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.871 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.871 * [taylor]: Taking taylor expansion of 0.5 in n 8.871 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.871 * [taylor]: Taking taylor expansion of 1.0 in n 8.871 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.871 * [taylor]: Taking taylor expansion of k in n 8.871 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.871 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.871 * [taylor]: Taking taylor expansion of 2.0 in n 8.871 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.872 * [taylor]: Taking taylor expansion of PI in n 8.872 * [taylor]: Taking taylor expansion of n in n 8.872 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.872 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.872 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.872 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.872 * [taylor]: Taking taylor expansion of 0.5 in n 8.872 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.872 * [taylor]: Taking taylor expansion of 1.0 in n 8.872 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.872 * [taylor]: Taking taylor expansion of k in n 8.872 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.872 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.872 * [taylor]: Taking taylor expansion of 2.0 in n 8.872 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.872 * [taylor]: Taking taylor expansion of PI in n 8.872 * [taylor]: Taking taylor expansion of n in n 8.872 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 8.873 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 8.873 * [taylor]: Taking taylor expansion of 0.5 in k 8.873 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 8.873 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 8.873 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.873 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.873 * [taylor]: Taking taylor expansion of 2.0 in k 8.873 * [taylor]: Taking taylor expansion of PI in k 8.873 * [taylor]: Taking taylor expansion of (log n) in k 8.873 * [taylor]: Taking taylor expansion of n in k 8.873 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.873 * [taylor]: Taking taylor expansion of 1.0 in k 8.873 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.873 * [taylor]: Taking taylor expansion of k in k 8.874 * [taylor]: Taking taylor expansion of 0 in k 8.874 * [taylor]: Taking taylor expansion of 0 in k 8.875 * [taylor]: Taking taylor expansion of 0 in k 8.876 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.876 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.876 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.876 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.876 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.876 * [taylor]: Taking taylor expansion of 0.5 in k 8.876 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.876 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.876 * [taylor]: Taking taylor expansion of k in k 8.876 * [taylor]: Taking taylor expansion of 1.0 in k 8.876 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.876 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.876 * [taylor]: Taking taylor expansion of -2.0 in k 8.876 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.876 * [taylor]: Taking taylor expansion of PI in k 8.876 * [taylor]: Taking taylor expansion of n in k 8.876 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.876 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.876 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.876 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.876 * [taylor]: Taking taylor expansion of 0.5 in n 8.876 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.876 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.876 * [taylor]: Taking taylor expansion of k in n 8.876 * [taylor]: Taking taylor expansion of 1.0 in n 8.876 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.876 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.876 * [taylor]: Taking taylor expansion of -2.0 in n 8.876 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.876 * [taylor]: Taking taylor expansion of PI in n 8.877 * [taylor]: Taking taylor expansion of n in n 8.877 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.877 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.877 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.877 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.877 * [taylor]: Taking taylor expansion of 0.5 in n 8.877 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.877 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.877 * [taylor]: Taking taylor expansion of k in n 8.877 * [taylor]: Taking taylor expansion of 1.0 in n 8.877 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.877 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.877 * [taylor]: Taking taylor expansion of -2.0 in n 8.877 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.877 * [taylor]: Taking taylor expansion of PI in n 8.877 * [taylor]: Taking taylor expansion of n in n 8.877 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 8.877 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 8.877 * [taylor]: Taking taylor expansion of 0.5 in k 8.877 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 8.878 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.878 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.878 * [taylor]: Taking taylor expansion of k in k 8.878 * [taylor]: Taking taylor expansion of 1.0 in k 8.878 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 8.878 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 8.878 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 8.878 * [taylor]: Taking taylor expansion of -2.0 in k 8.878 * [taylor]: Taking taylor expansion of PI in k 8.878 * [taylor]: Taking taylor expansion of (log n) in k 8.878 * [taylor]: Taking taylor expansion of n in k 8.879 * [taylor]: Taking taylor expansion of 0 in k 8.879 * [taylor]: Taking taylor expansion of 0 in k 8.880 * [taylor]: Taking taylor expansion of 0 in k 8.880 * * * * [progress]: [ 4 / 4 ] generating series at (2) 8.881 * [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 8.881 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 8.881 * [taylor]: Taking taylor expansion of 1.0 in n 8.881 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 8.881 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 8.881 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.881 * [taylor]: Taking taylor expansion of k in n 8.881 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.881 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.881 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.881 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.881 * [taylor]: Taking taylor expansion of 0.5 in n 8.881 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.881 * [taylor]: Taking taylor expansion of 1.0 in n 8.881 * [taylor]: Taking taylor expansion of k in n 8.881 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.881 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.881 * [taylor]: Taking taylor expansion of 2.0 in n 8.881 * [taylor]: Taking taylor expansion of (* n PI) in n 8.881 * [taylor]: Taking taylor expansion of n in n 8.881 * [taylor]: Taking taylor expansion of PI in n 8.881 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 8.881 * [taylor]: Taking taylor expansion of 1.0 in k 8.881 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 8.881 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.881 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.882 * [taylor]: Taking taylor expansion of k in k 8.882 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.882 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.882 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.882 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.882 * [taylor]: Taking taylor expansion of 0.5 in k 8.882 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.882 * [taylor]: Taking taylor expansion of 1.0 in k 8.882 * [taylor]: Taking taylor expansion of k in k 8.882 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.882 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.882 * [taylor]: Taking taylor expansion of 2.0 in k 8.882 * [taylor]: Taking taylor expansion of (* n PI) in k 8.882 * [taylor]: Taking taylor expansion of n in k 8.882 * [taylor]: Taking taylor expansion of PI in k 8.882 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 8.882 * [taylor]: Taking taylor expansion of 1.0 in k 8.882 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 8.882 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.882 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.882 * [taylor]: Taking taylor expansion of k in k 8.882 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.882 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.882 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.882 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.882 * [taylor]: Taking taylor expansion of 0.5 in k 8.882 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.882 * [taylor]: Taking taylor expansion of 1.0 in k 8.882 * [taylor]: Taking taylor expansion of k in k 8.882 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.882 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.882 * [taylor]: Taking taylor expansion of 2.0 in k 8.882 * [taylor]: Taking taylor expansion of (* n PI) in k 8.882 * [taylor]: Taking taylor expansion of n in k 8.882 * [taylor]: Taking taylor expansion of PI in k 8.883 * [taylor]: Taking taylor expansion of 0 in n 8.884 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 8.884 * [taylor]: Taking taylor expansion of 1.0 in n 8.884 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 8.884 * [taylor]: Taking taylor expansion of NAN in n 8.884 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 8.884 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 8.884 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 8.884 * [taylor]: Taking taylor expansion of 0.5 in n 8.884 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 8.884 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 8.884 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.884 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.884 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.884 * [taylor]: Taking taylor expansion of 1.0 in n 8.884 * [taylor]: Taking taylor expansion of (log PI) in n 8.884 * [taylor]: Taking taylor expansion of PI in n 8.884 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 8.884 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.884 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.884 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.884 * [taylor]: Taking taylor expansion of 1.0 in n 8.884 * [taylor]: Taking taylor expansion of (log n) in n 8.884 * [taylor]: Taking taylor expansion of n in n 8.884 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.884 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.884 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.884 * [taylor]: Taking taylor expansion of 1.0 in n 8.884 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.884 * [taylor]: Taking taylor expansion of 2.0 in n 8.888 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 8.888 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) in n 8.888 * [taylor]: Taking taylor expansion of 1.0 in n 8.888 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) in n 8.888 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.888 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.888 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.888 * [taylor]: Taking taylor expansion of 0.5 in n 8.888 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.888 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.888 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.888 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.888 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.888 * [taylor]: Taking taylor expansion of 1.0 in n 8.888 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.888 * [taylor]: Taking taylor expansion of 2.0 in n 8.888 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.888 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.888 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.888 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.888 * [taylor]: Taking taylor expansion of 1.0 in n 8.888 * [taylor]: Taking taylor expansion of (log n) in n 8.888 * [taylor]: Taking taylor expansion of n in n 8.888 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.888 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.888 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.889 * [taylor]: Taking taylor expansion of 1.0 in n 8.889 * [taylor]: Taking taylor expansion of (log PI) in n 8.889 * [taylor]: Taking taylor expansion of PI in n 8.889 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 8.889 * [taylor]: Taking taylor expansion of NAN in n 8.889 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 8.889 * [taylor]: Taking taylor expansion of 0.5 in n 8.889 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 8.889 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 8.889 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.889 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.889 * [taylor]: Taking taylor expansion of 2.0 in n 8.890 * [taylor]: Taking taylor expansion of (* n PI) in n 8.890 * [taylor]: Taking taylor expansion of n in n 8.890 * [taylor]: Taking taylor expansion of PI in n 8.890 * [taylor]: Taking taylor expansion of NAN in n 8.890 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.890 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.890 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.890 * [taylor]: Taking taylor expansion of 0.5 in n 8.890 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.890 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.890 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.890 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.890 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.890 * [taylor]: Taking taylor expansion of 1.0 in n 8.890 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.890 * [taylor]: Taking taylor expansion of 2.0 in n 8.890 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.890 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.890 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.890 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.890 * [taylor]: Taking taylor expansion of 1.0 in n 8.890 * [taylor]: Taking taylor expansion of (log n) in n 8.890 * [taylor]: Taking taylor expansion of n in n 8.890 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.890 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.890 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.890 * [taylor]: Taking taylor expansion of 1.0 in n 8.890 * [taylor]: Taking taylor expansion of (log PI) in n 8.890 * [taylor]: Taking taylor expansion of PI in n 8.904 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 8.904 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) in n 8.904 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 8.904 * [taylor]: Taking taylor expansion of 0.125 in n 8.904 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 8.904 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 8.904 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 8.905 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.905 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.905 * [taylor]: Taking taylor expansion of 2.0 in n 8.905 * [taylor]: Taking taylor expansion of (* n PI) in n 8.905 * [taylor]: Taking taylor expansion of n in n 8.905 * [taylor]: Taking taylor expansion of PI in n 8.905 * [taylor]: Taking taylor expansion of NAN in n 8.905 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.905 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.905 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.905 * [taylor]: Taking taylor expansion of 0.5 in n 8.905 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.905 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.905 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.905 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.905 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.905 * [taylor]: Taking taylor expansion of 1.0 in n 8.905 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.905 * [taylor]: Taking taylor expansion of 2.0 in n 8.905 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.905 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.905 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.905 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.905 * [taylor]: Taking taylor expansion of 1.0 in n 8.905 * [taylor]: Taking taylor expansion of (log n) in n 8.905 * [taylor]: Taking taylor expansion of n in n 8.905 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.905 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.905 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.905 * [taylor]: Taking taylor expansion of 1.0 in n 8.905 * [taylor]: Taking taylor expansion of (log PI) in n 8.905 * [taylor]: Taking taylor expansion of PI in n 8.906 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5))) in n 8.906 * [taylor]: Taking taylor expansion of 1.0 in n 8.906 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)) in n 8.906 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.906 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.906 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.906 * [taylor]: Taking taylor expansion of 0.5 in n 8.906 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.906 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.906 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.906 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.906 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.906 * [taylor]: Taking taylor expansion of 1.0 in n 8.906 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.906 * [taylor]: Taking taylor expansion of 2.0 in n 8.906 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.907 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.907 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.907 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.907 * [taylor]: Taking taylor expansion of 1.0 in n 8.907 * [taylor]: Taking taylor expansion of (log n) in n 8.907 * [taylor]: Taking taylor expansion of n in n 8.907 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.907 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.907 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.907 * [taylor]: Taking taylor expansion of 1.0 in n 8.907 * [taylor]: Taking taylor expansion of (log PI) in n 8.907 * [taylor]: Taking taylor expansion of PI in n 8.908 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 8.908 * [taylor]: Taking taylor expansion of NAN in n 8.908 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 8.908 * [taylor]: Taking taylor expansion of 0.5 in n 8.908 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 8.908 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 8.908 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.908 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.908 * [taylor]: Taking taylor expansion of 2.0 in n 8.908 * [taylor]: Taking taylor expansion of (* n PI) in n 8.908 * [taylor]: Taking taylor expansion of n in n 8.908 * [taylor]: Taking taylor expansion of PI in n 8.908 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 8.908 * [taylor]: Taking taylor expansion of NAN in n 8.908 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.908 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.908 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.908 * [taylor]: Taking taylor expansion of 0.5 in n 8.908 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.908 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.908 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.908 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.908 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.908 * [taylor]: Taking taylor expansion of 1.0 in n 8.908 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.908 * [taylor]: Taking taylor expansion of 2.0 in n 8.908 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.908 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.908 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.908 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.908 * [taylor]: Taking taylor expansion of 1.0 in n 8.908 * [taylor]: Taking taylor expansion of (log n) in n 8.908 * [taylor]: Taking taylor expansion of n in n 8.908 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.909 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.909 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.909 * [taylor]: Taking taylor expansion of 1.0 in n 8.909 * [taylor]: Taking taylor expansion of (log PI) in n 8.909 * [taylor]: Taking taylor expansion of PI in n 8.922 * [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 8.922 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 8.922 * [taylor]: Taking taylor expansion of 1.0 in n 8.922 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 8.922 * [taylor]: Taking taylor expansion of (sqrt k) in n 8.922 * [taylor]: Taking taylor expansion of k in n 8.922 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.922 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.922 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.922 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.922 * [taylor]: Taking taylor expansion of 0.5 in n 8.922 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.922 * [taylor]: Taking taylor expansion of 1.0 in n 8.922 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.922 * [taylor]: Taking taylor expansion of k in n 8.922 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.922 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.922 * [taylor]: Taking taylor expansion of 2.0 in n 8.922 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.922 * [taylor]: Taking taylor expansion of PI in n 8.922 * [taylor]: Taking taylor expansion of n in n 8.923 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.923 * [taylor]: Taking taylor expansion of 1.0 in k 8.923 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.923 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.923 * [taylor]: Taking taylor expansion of k in k 8.923 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.923 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.923 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.923 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.923 * [taylor]: Taking taylor expansion of 0.5 in k 8.923 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.923 * [taylor]: Taking taylor expansion of 1.0 in k 8.923 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.923 * [taylor]: Taking taylor expansion of k in k 8.923 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.923 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.923 * [taylor]: Taking taylor expansion of 2.0 in k 8.923 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.923 * [taylor]: Taking taylor expansion of PI in k 8.923 * [taylor]: Taking taylor expansion of n in k 8.923 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.923 * [taylor]: Taking taylor expansion of 1.0 in k 8.923 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.923 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.923 * [taylor]: Taking taylor expansion of k in k 8.923 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.923 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.923 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.923 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.923 * [taylor]: Taking taylor expansion of 0.5 in k 8.924 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.924 * [taylor]: Taking taylor expansion of 1.0 in k 8.924 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.924 * [taylor]: Taking taylor expansion of k in k 8.924 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.924 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.924 * [taylor]: Taking taylor expansion of 2.0 in k 8.924 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.924 * [taylor]: Taking taylor expansion of PI in k 8.924 * [taylor]: Taking taylor expansion of n in k 8.924 * [taylor]: Taking taylor expansion of 0 in n 8.924 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 8.924 * [taylor]: Taking taylor expansion of 1.0 in n 8.924 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 8.924 * [taylor]: Taking taylor expansion of NAN in n 8.924 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 8.924 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 8.924 * [taylor]: Taking taylor expansion of 0.5 in n 8.924 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 8.924 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.924 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.924 * [taylor]: Taking taylor expansion of 2.0 in n 8.924 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.925 * [taylor]: Taking taylor expansion of PI in n 8.925 * [taylor]: Taking taylor expansion of n in n 8.925 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.925 * [taylor]: Taking taylor expansion of 1.0 in n 8.925 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.925 * [taylor]: Taking taylor expansion of k in n 8.926 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 8.926 * [taylor]: Taking taylor expansion of 1.0 in n 8.926 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 8.926 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 8.926 * [taylor]: Taking taylor expansion of NAN in n 8.926 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 8.926 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 8.926 * [taylor]: Taking taylor expansion of 0.5 in n 8.926 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 8.926 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.926 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.926 * [taylor]: Taking taylor expansion of 2.0 in n 8.926 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.926 * [taylor]: Taking taylor expansion of PI in n 8.926 * [taylor]: Taking taylor expansion of n in n 8.926 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.926 * [taylor]: Taking taylor expansion of 1.0 in n 8.926 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.926 * [taylor]: Taking taylor expansion of k in n 8.929 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 8.929 * [taylor]: Taking taylor expansion of 1.0 in n 8.929 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 8.929 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 8.929 * [taylor]: Taking taylor expansion of NAN in n 8.929 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 8.929 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 8.929 * [taylor]: Taking taylor expansion of 0.5 in n 8.929 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 8.929 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.929 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.929 * [taylor]: Taking taylor expansion of 2.0 in n 8.929 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.929 * [taylor]: Taking taylor expansion of PI in n 8.929 * [taylor]: Taking taylor expansion of n in n 8.929 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.929 * [taylor]: Taking taylor expansion of 1.0 in n 8.929 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.929 * [taylor]: Taking taylor expansion of k in n 8.931 * [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 8.931 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 8.931 * [taylor]: Taking taylor expansion of 1.0 in n 8.931 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 8.931 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.931 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.931 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.931 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.931 * [taylor]: Taking taylor expansion of 0.5 in n 8.931 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.931 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.931 * [taylor]: Taking taylor expansion of k in n 8.931 * [taylor]: Taking taylor expansion of 1.0 in n 8.931 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.931 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.931 * [taylor]: Taking taylor expansion of -2.0 in n 8.931 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.931 * [taylor]: Taking taylor expansion of PI in n 8.931 * [taylor]: Taking taylor expansion of n in n 8.931 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 8.931 * [taylor]: Taking taylor expansion of (/ -1 k) in n 8.931 * [taylor]: Taking taylor expansion of -1 in n 8.931 * [taylor]: Taking taylor expansion of k in n 8.932 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.932 * [taylor]: Taking taylor expansion of 1.0 in k 8.932 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.932 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.932 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.932 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.932 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.932 * [taylor]: Taking taylor expansion of 0.5 in k 8.932 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.932 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.932 * [taylor]: Taking taylor expansion of k in k 8.932 * [taylor]: Taking taylor expansion of 1.0 in k 8.932 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.932 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.932 * [taylor]: Taking taylor expansion of -2.0 in k 8.932 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.932 * [taylor]: Taking taylor expansion of PI in k 8.932 * [taylor]: Taking taylor expansion of n in k 8.932 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.932 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.932 * [taylor]: Taking taylor expansion of -1 in k 8.932 * [taylor]: Taking taylor expansion of k in k 8.932 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.932 * [taylor]: Taking taylor expansion of 1.0 in k 8.932 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.932 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.932 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.932 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.932 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.932 * [taylor]: Taking taylor expansion of 0.5 in k 8.932 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.933 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.933 * [taylor]: Taking taylor expansion of k in k 8.933 * [taylor]: Taking taylor expansion of 1.0 in k 8.933 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.933 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.933 * [taylor]: Taking taylor expansion of -2.0 in k 8.933 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.933 * [taylor]: Taking taylor expansion of PI in k 8.933 * [taylor]: Taking taylor expansion of n in k 8.933 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.933 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.933 * [taylor]: Taking taylor expansion of -1 in k 8.933 * [taylor]: Taking taylor expansion of k in k 8.933 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 8.933 * [taylor]: Taking taylor expansion of 1.0 in n 8.933 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 8.933 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 8.933 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 8.933 * [taylor]: Taking taylor expansion of 0.5 in n 8.933 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 8.933 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.933 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.933 * [taylor]: Taking taylor expansion of k in n 8.933 * [taylor]: Taking taylor expansion of 1.0 in n 8.933 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.933 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.933 * [taylor]: Taking taylor expansion of -2.0 in n 8.933 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.933 * [taylor]: Taking taylor expansion of PI in n 8.933 * [taylor]: Taking taylor expansion of n in n 8.934 * [taylor]: Taking taylor expansion of NAN in n 8.935 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN))) in n 8.935 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 8.935 * [taylor]: Taking taylor expansion of 1.0 in n 8.935 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 8.935 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 8.935 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 8.935 * [taylor]: Taking taylor expansion of 0.5 in n 8.935 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 8.935 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.935 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.935 * [taylor]: Taking taylor expansion of k in n 8.935 * [taylor]: Taking taylor expansion of 1.0 in n 8.935 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.935 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.935 * [taylor]: Taking taylor expansion of -2.0 in n 8.935 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.935 * [taylor]: Taking taylor expansion of PI in n 8.935 * [taylor]: Taking taylor expansion of n in n 8.935 * [taylor]: Taking taylor expansion of NAN in n 8.937 * [taylor]: Taking taylor expansion of 0 in n 8.940 * [taylor]: Taking taylor expansion of 0 in n 8.940 * * * [progress]: simplifying candidates 8.943 * [simplify]: Simplifying using # : (- (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))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 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 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(- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k))) 8.953 * * [simplify]: iteration 0 : 953 enodes (cost 1493 ) 8.970 * * [simplify]: iteration 1 : 4234 enodes (cost 1364 ) 9.036 * * [simplify]: iteration 2 : 5002 enodes (cost 1350 ) 9.044 * [simplify]: Simplified to: (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (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))) (neg 1.0) (neg (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 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(* (* 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))) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n)))) (* 0.5 (* k (* NAN (log n))))))) (* 1.0 (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2)) (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 3))))) (* 1.0 (+ (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN) (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k))) 9.045 * * * [progress]: adding candidates to table 9.312 * * [progress]: iteration 2 / 4 9.312 * * * [progress]: picking best candidate 9.350 * * * * [pick]: Picked # 9.351 * * * [progress]: localizing error 9.368 * * * [progress]: generating rewritten candidates 9.368 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 9.373 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 9.378 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 9.387 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 9.401 * * * [progress]: generating series expansions 9.401 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 9.401 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 9.401 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.401 * [taylor]: Taking taylor expansion of 2.0 in n 9.401 * [taylor]: Taking taylor expansion of (* n PI) in n 9.401 * [taylor]: Taking taylor expansion of n in n 9.401 * [taylor]: Taking taylor expansion of PI in n 9.401 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.401 * [taylor]: Taking taylor expansion of 2.0 in n 9.401 * [taylor]: Taking taylor expansion of (* n PI) in n 9.401 * [taylor]: Taking taylor expansion of n in n 9.401 * [taylor]: Taking taylor expansion of PI in n 9.402 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 9.402 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.402 * [taylor]: Taking taylor expansion of 2.0 in n 9.402 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.402 * [taylor]: Taking taylor expansion of PI in n 9.402 * [taylor]: Taking taylor expansion of n in n 9.402 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.402 * [taylor]: Taking taylor expansion of 2.0 in n 9.402 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.402 * [taylor]: Taking taylor expansion of PI in n 9.402 * [taylor]: Taking taylor expansion of n in n 9.403 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 9.403 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.403 * [taylor]: Taking taylor expansion of -2.0 in n 9.403 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.403 * [taylor]: Taking taylor expansion of PI in n 9.403 * [taylor]: Taking taylor expansion of n in n 9.403 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.403 * [taylor]: Taking taylor expansion of -2.0 in n 9.403 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.403 * [taylor]: Taking taylor expansion of PI in n 9.403 * [taylor]: Taking taylor expansion of n in n 9.404 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 9.404 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 9.404 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.404 * [taylor]: Taking taylor expansion of 2.0 in n 9.404 * [taylor]: Taking taylor expansion of (* n PI) in n 9.404 * [taylor]: Taking taylor expansion of n in n 9.404 * [taylor]: Taking taylor expansion of PI in n 9.404 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.404 * [taylor]: Taking taylor expansion of 2.0 in n 9.404 * [taylor]: Taking taylor expansion of (* n PI) in n 9.404 * [taylor]: Taking taylor expansion of n in n 9.404 * [taylor]: Taking taylor expansion of PI in n 9.405 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 9.405 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.405 * [taylor]: Taking taylor expansion of 2.0 in n 9.405 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.405 * [taylor]: Taking taylor expansion of PI in n 9.405 * [taylor]: Taking taylor expansion of n in n 9.405 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.405 * [taylor]: Taking taylor expansion of 2.0 in n 9.405 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.405 * [taylor]: Taking taylor expansion of PI in n 9.405 * [taylor]: Taking taylor expansion of n in n 9.406 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 9.406 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.406 * [taylor]: Taking taylor expansion of -2.0 in n 9.406 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.406 * [taylor]: Taking taylor expansion of PI in n 9.406 * [taylor]: Taking taylor expansion of n in n 9.406 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.406 * [taylor]: Taking taylor expansion of -2.0 in n 9.406 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.406 * [taylor]: Taking taylor expansion of PI in n 9.406 * [taylor]: Taking taylor expansion of n in n 9.407 * * * * [progress]: [ 3 / 4 ] generating series at (2) 9.408 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 9.408 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 9.408 * [taylor]: Taking taylor expansion of 1.0 in k 9.408 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 9.408 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.408 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.408 * [taylor]: Taking taylor expansion of k in k 9.408 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 9.408 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 9.408 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 9.408 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 9.408 * [taylor]: Taking taylor expansion of 0.5 in k 9.408 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 9.408 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 9.408 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 9.408 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 9.408 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 9.408 * [taylor]: Taking taylor expansion of 1.0 in k 9.408 * [taylor]: Taking taylor expansion of (log 2.0) in k 9.408 * [taylor]: Taking taylor expansion of 2.0 in k 9.408 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 9.408 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.408 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.408 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.408 * [taylor]: Taking taylor expansion of 1.0 in k 9.408 * [taylor]: Taking taylor expansion of (log n) in k 9.408 * [taylor]: Taking taylor expansion of n in k 9.408 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.408 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.408 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.408 * [taylor]: Taking taylor expansion of 1.0 in k 9.408 * [taylor]: Taking taylor expansion of (log PI) in k 9.408 * [taylor]: Taking taylor expansion of PI in k 9.409 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 9.409 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 9.409 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 9.409 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 9.409 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 9.409 * [taylor]: Taking taylor expansion of 0.5 in k 9.409 * [taylor]: Taking taylor expansion of k in k 9.409 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 9.409 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 9.409 * [taylor]: Taking taylor expansion of 2.0 in k 9.409 * [taylor]: Taking taylor expansion of (* n PI) in k 9.409 * [taylor]: Taking taylor expansion of n in k 9.409 * [taylor]: Taking taylor expansion of PI in k 9.410 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 9.410 * [taylor]: Taking taylor expansion of 1.0 in n 9.410 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 9.410 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 9.410 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.410 * [taylor]: Taking taylor expansion of k in n 9.410 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 9.410 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 9.410 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 9.410 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 9.410 * [taylor]: Taking taylor expansion of 0.5 in n 9.410 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 9.410 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 9.410 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.410 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.410 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.410 * [taylor]: Taking taylor expansion of 1.0 in n 9.410 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.410 * [taylor]: Taking taylor expansion of 2.0 in n 9.410 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 9.410 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.410 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.410 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.410 * [taylor]: Taking taylor expansion of 1.0 in n 9.410 * [taylor]: Taking taylor expansion of (log n) in n 9.410 * [taylor]: Taking taylor expansion of n in n 9.410 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.410 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.410 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.410 * [taylor]: Taking taylor expansion of 1.0 in n 9.410 * [taylor]: Taking taylor expansion of (log PI) in n 9.410 * [taylor]: Taking taylor expansion of PI in n 9.411 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 9.411 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 9.411 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 9.411 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 9.411 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 9.411 * [taylor]: Taking taylor expansion of 0.5 in n 9.411 * [taylor]: Taking taylor expansion of k in n 9.411 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.411 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.411 * [taylor]: Taking taylor expansion of 2.0 in n 9.411 * [taylor]: Taking taylor expansion of (* n PI) in n 9.411 * [taylor]: Taking taylor expansion of n in n 9.412 * [taylor]: Taking taylor expansion of PI in n 9.412 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 9.412 * [taylor]: Taking taylor expansion of 1.0 in n 9.412 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 9.412 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 9.412 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.412 * [taylor]: Taking taylor expansion of k in n 9.412 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 9.412 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 9.412 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 9.412 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 9.412 * [taylor]: Taking taylor expansion of 0.5 in n 9.412 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 9.412 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 9.412 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.412 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.412 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.412 * [taylor]: Taking taylor expansion of 1.0 in n 9.412 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.412 * [taylor]: Taking taylor expansion of 2.0 in n 9.412 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 9.412 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.412 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.412 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.412 * [taylor]: Taking taylor expansion of 1.0 in n 9.412 * [taylor]: Taking taylor expansion of (log n) in n 9.412 * [taylor]: Taking taylor expansion of n in n 9.413 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.413 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.413 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.413 * [taylor]: Taking taylor expansion of 1.0 in n 9.413 * [taylor]: Taking taylor expansion of (log PI) in n 9.413 * [taylor]: Taking taylor expansion of PI in n 9.413 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 9.414 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 9.414 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 9.414 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 9.414 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 9.414 * [taylor]: Taking taylor expansion of 0.5 in n 9.414 * [taylor]: Taking taylor expansion of k in n 9.414 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.414 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.414 * [taylor]: Taking taylor expansion of 2.0 in n 9.414 * [taylor]: Taking taylor expansion of (* n PI) in n 9.414 * [taylor]: Taking taylor expansion of n in n 9.414 * [taylor]: Taking taylor expansion of PI in n 9.415 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)))) in k 9.415 * [taylor]: Taking taylor expansion of 1.0 in k 9.415 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 9.415 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.415 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.415 * [taylor]: Taking taylor expansion of k in k 9.415 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 9.415 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 9.415 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 9.415 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 9.415 * [taylor]: Taking taylor expansion of 0.5 in k 9.415 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 9.415 * [taylor]: Taking taylor expansion of k in k 9.415 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 9.415 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.415 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.415 * [taylor]: Taking taylor expansion of 2.0 in k 9.415 * [taylor]: Taking taylor expansion of PI in k 9.415 * [taylor]: Taking taylor expansion of (log n) in k 9.415 * [taylor]: Taking taylor expansion of n in k 9.416 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 9.416 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 9.416 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 9.416 * [taylor]: Taking taylor expansion of 0.5 in k 9.416 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 9.416 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 9.416 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.416 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.416 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.416 * [taylor]: Taking taylor expansion of 1.0 in k 9.416 * [taylor]: Taking taylor expansion of (log PI) in k 9.416 * [taylor]: Taking taylor expansion of PI in k 9.416 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 9.416 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 9.416 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 9.416 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 9.416 * [taylor]: Taking taylor expansion of 1.0 in k 9.416 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 9.416 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 9.416 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 9.416 * [taylor]: Taking taylor expansion of 1.0 in k 9.416 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 9.416 * [taylor]: Taking taylor expansion of (log 1) in k 9.416 * [taylor]: Taking taylor expansion of 1 in k 9.416 * [taylor]: Taking taylor expansion of (log n) in k 9.416 * [taylor]: Taking taylor expansion of n in k 9.417 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 9.417 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 9.417 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 9.417 * [taylor]: Taking taylor expansion of 1.0 in k 9.417 * [taylor]: Taking taylor expansion of (log 2.0) in k 9.417 * [taylor]: Taking taylor expansion of 2.0 in k 9.421 * [taylor]: Taking taylor expansion of 0 in k 9.429 * [taylor]: Taking taylor expansion of 0 in k 9.444 * [taylor]: Taking taylor expansion of 0 in k 9.467 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 9.467 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 9.467 * [taylor]: Taking taylor expansion of 1.0 in k 9.467 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 9.467 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.467 * [taylor]: Taking taylor expansion of k in k 9.467 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 9.467 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 9.467 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 9.467 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 9.467 * [taylor]: Taking taylor expansion of 0.5 in k 9.468 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 9.468 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 9.468 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 9.468 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 9.468 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 9.468 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 9.468 * [taylor]: Taking taylor expansion of 1.0 in k 9.468 * [taylor]: Taking taylor expansion of (log 2.0) in k 9.468 * [taylor]: Taking taylor expansion of 2.0 in k 9.468 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.468 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.468 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.468 * [taylor]: Taking taylor expansion of 1.0 in k 9.468 * [taylor]: Taking taylor expansion of (log PI) in k 9.468 * [taylor]: Taking taylor expansion of PI in k 9.468 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.468 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.468 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.468 * [taylor]: Taking taylor expansion of 1.0 in k 9.468 * [taylor]: Taking taylor expansion of (log n) in k 9.468 * [taylor]: Taking taylor expansion of n in k 9.469 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 9.469 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 9.469 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 9.469 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 9.469 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 9.469 * [taylor]: Taking taylor expansion of 0.5 in k 9.469 * [taylor]: Taking taylor expansion of k in k 9.469 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 9.469 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 9.469 * [taylor]: Taking taylor expansion of 2.0 in k 9.469 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.469 * [taylor]: Taking taylor expansion of PI in k 9.469 * [taylor]: Taking taylor expansion of n in k 9.469 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 9.469 * [taylor]: Taking taylor expansion of 1.0 in n 9.469 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 9.469 * [taylor]: Taking taylor expansion of (sqrt k) in n 9.469 * [taylor]: Taking taylor expansion of k in n 9.469 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 9.469 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.469 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.470 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.470 * [taylor]: Taking taylor expansion of 0.5 in n 9.470 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.470 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.470 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 9.470 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.470 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.470 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.470 * [taylor]: Taking taylor expansion of 1.0 in n 9.470 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.470 * [taylor]: Taking taylor expansion of 2.0 in n 9.470 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.470 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.470 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.470 * [taylor]: Taking taylor expansion of 1.0 in n 9.470 * [taylor]: Taking taylor expansion of (log PI) in n 9.470 * [taylor]: Taking taylor expansion of PI in n 9.470 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.470 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.470 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.470 * [taylor]: Taking taylor expansion of 1.0 in n 9.470 * [taylor]: Taking taylor expansion of (log n) in n 9.470 * [taylor]: Taking taylor expansion of n in n 9.471 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 9.471 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 9.471 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 9.471 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 9.471 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 9.471 * [taylor]: Taking taylor expansion of 0.5 in n 9.471 * [taylor]: Taking taylor expansion of k in n 9.471 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.471 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.471 * [taylor]: Taking taylor expansion of 2.0 in n 9.471 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.471 * [taylor]: Taking taylor expansion of PI in n 9.471 * [taylor]: Taking taylor expansion of n in n 9.471 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 9.472 * [taylor]: Taking taylor expansion of 1.0 in n 9.472 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 9.472 * [taylor]: Taking taylor expansion of (sqrt k) in n 9.472 * [taylor]: Taking taylor expansion of k in n 9.472 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 9.472 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.472 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.472 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.472 * [taylor]: Taking taylor expansion of 0.5 in n 9.472 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.472 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.472 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 9.472 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.472 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.472 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.472 * [taylor]: Taking taylor expansion of 1.0 in n 9.472 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.472 * [taylor]: Taking taylor expansion of 2.0 in n 9.472 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.472 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.472 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.472 * [taylor]: Taking taylor expansion of 1.0 in n 9.472 * [taylor]: Taking taylor expansion of (log PI) in n 9.472 * [taylor]: Taking taylor expansion of PI in n 9.472 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.472 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.472 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.472 * [taylor]: Taking taylor expansion of 1.0 in n 9.472 * [taylor]: Taking taylor expansion of (log n) in n 9.472 * [taylor]: Taking taylor expansion of n in n 9.473 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 9.473 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 9.473 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 9.473 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 9.473 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 9.473 * [taylor]: Taking taylor expansion of 0.5 in n 9.473 * [taylor]: Taking taylor expansion of k in n 9.473 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.473 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.473 * [taylor]: Taking taylor expansion of 2.0 in n 9.473 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.473 * [taylor]: Taking taylor expansion of PI in n 9.473 * [taylor]: Taking taylor expansion of n in n 9.477 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)))) in k 9.477 * [taylor]: Taking taylor expansion of 1.0 in k 9.477 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 9.477 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.477 * [taylor]: Taking taylor expansion of k in k 9.477 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 9.477 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 9.477 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 9.477 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 9.477 * [taylor]: Taking taylor expansion of 0.5 in k 9.477 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 9.478 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 9.478 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.478 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.478 * [taylor]: Taking taylor expansion of 2.0 in k 9.478 * [taylor]: Taking taylor expansion of PI in k 9.478 * [taylor]: Taking taylor expansion of (log n) in k 9.478 * [taylor]: Taking taylor expansion of n in k 9.478 * [taylor]: Taking taylor expansion of k in k 9.478 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 9.478 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 9.478 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 9.478 * [taylor]: Taking taylor expansion of 0.5 in k 9.478 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 9.478 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 9.478 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 9.478 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.478 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.478 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.478 * [taylor]: Taking taylor expansion of 1.0 in k 9.478 * [taylor]: Taking taylor expansion of (log PI) in k 9.478 * [taylor]: Taking taylor expansion of PI in k 9.478 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 9.478 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 9.478 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 9.478 * [taylor]: Taking taylor expansion of 1.0 in k 9.478 * [taylor]: Taking taylor expansion of (log 2.0) in k 9.478 * [taylor]: Taking taylor expansion of 2.0 in k 9.478 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 9.478 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 9.478 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 9.478 * [taylor]: Taking taylor expansion of 1.0 in k 9.478 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 9.479 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 9.479 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 9.479 * [taylor]: Taking taylor expansion of 1.0 in k 9.479 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 9.479 * [taylor]: Taking taylor expansion of (log 1) in k 9.479 * [taylor]: Taking taylor expansion of 1 in k 9.479 * [taylor]: Taking taylor expansion of (log n) in k 9.479 * [taylor]: Taking taylor expansion of n in k 9.484 * [taylor]: Taking taylor expansion of 0 in k 9.492 * [taylor]: Taking taylor expansion of 0 in k 9.503 * [taylor]: Taking taylor expansion of 0 in k 9.512 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 9.512 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 9.512 * [taylor]: Taking taylor expansion of 1.0 in k 9.512 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 9.512 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 9.512 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 9.512 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.512 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.512 * [taylor]: Taking taylor expansion of -1 in k 9.512 * [taylor]: Taking taylor expansion of k in k 9.512 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 9.512 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 9.512 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 9.512 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 9.512 * [taylor]: Taking taylor expansion of -0.5 in k 9.512 * [taylor]: Taking taylor expansion of k in k 9.513 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 9.513 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 9.513 * [taylor]: Taking taylor expansion of -2.0 in k 9.513 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.513 * [taylor]: Taking taylor expansion of PI in k 9.513 * [taylor]: Taking taylor expansion of n in k 9.513 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 9.513 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 9.513 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 9.513 * [taylor]: Taking taylor expansion of 0.5 in k 9.513 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 9.513 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 9.513 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 9.513 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 9.513 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 9.513 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 9.513 * [taylor]: Taking taylor expansion of 1.0 in k 9.513 * [taylor]: Taking taylor expansion of (log -2.0) in k 9.513 * [taylor]: Taking taylor expansion of -2.0 in k 9.513 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.513 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.513 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.513 * [taylor]: Taking taylor expansion of 1.0 in k 9.513 * [taylor]: Taking taylor expansion of (log PI) in k 9.513 * [taylor]: Taking taylor expansion of PI in k 9.513 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.513 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.513 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.514 * [taylor]: Taking taylor expansion of 1.0 in k 9.514 * [taylor]: Taking taylor expansion of (log n) in k 9.514 * [taylor]: Taking taylor expansion of n in k 9.514 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 9.514 * [taylor]: Taking taylor expansion of 1.0 in n 9.514 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 9.514 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 9.514 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 9.514 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 9.515 * [taylor]: Taking taylor expansion of (/ -1 k) in n 9.515 * [taylor]: Taking taylor expansion of -1 in n 9.515 * [taylor]: Taking taylor expansion of k in n 9.515 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 9.515 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 9.515 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 9.515 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 9.515 * [taylor]: Taking taylor expansion of -0.5 in n 9.515 * [taylor]: Taking taylor expansion of k in n 9.515 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.515 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.515 * [taylor]: Taking taylor expansion of -2.0 in n 9.515 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.515 * [taylor]: Taking taylor expansion of PI in n 9.515 * [taylor]: Taking taylor expansion of n in n 9.515 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.515 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.515 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.515 * [taylor]: Taking taylor expansion of 0.5 in n 9.515 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.515 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.515 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 9.515 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 9.515 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 9.515 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 9.515 * [taylor]: Taking taylor expansion of 1.0 in n 9.515 * [taylor]: Taking taylor expansion of (log -2.0) in n 9.516 * [taylor]: Taking taylor expansion of -2.0 in n 9.516 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.516 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.516 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.516 * [taylor]: Taking taylor expansion of 1.0 in n 9.516 * [taylor]: Taking taylor expansion of (log PI) in n 9.516 * [taylor]: Taking taylor expansion of PI in n 9.516 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.516 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.516 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.516 * [taylor]: Taking taylor expansion of 1.0 in n 9.516 * [taylor]: Taking taylor expansion of (log n) in n 9.516 * [taylor]: Taking taylor expansion of n in n 9.517 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 9.517 * [taylor]: Taking taylor expansion of 1.0 in n 9.517 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 9.517 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 9.517 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 9.517 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 9.517 * [taylor]: Taking taylor expansion of (/ -1 k) in n 9.517 * [taylor]: Taking taylor expansion of -1 in n 9.517 * [taylor]: Taking taylor expansion of k in n 9.517 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 9.517 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 9.517 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 9.517 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 9.517 * [taylor]: Taking taylor expansion of -0.5 in n 9.517 * [taylor]: Taking taylor expansion of k in n 9.517 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.517 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.517 * [taylor]: Taking taylor expansion of -2.0 in n 9.517 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.517 * [taylor]: Taking taylor expansion of PI in n 9.517 * [taylor]: Taking taylor expansion of n in n 9.518 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.518 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.518 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.518 * [taylor]: Taking taylor expansion of 0.5 in n 9.518 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.518 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.518 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 9.518 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 9.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 9.518 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 9.518 * [taylor]: Taking taylor expansion of 1.0 in n 9.518 * [taylor]: Taking taylor expansion of (log -2.0) in n 9.518 * [taylor]: Taking taylor expansion of -2.0 in n 9.518 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.518 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.518 * [taylor]: Taking taylor expansion of 1.0 in n 9.518 * [taylor]: Taking taylor expansion of (log PI) in n 9.518 * [taylor]: Taking taylor expansion of PI in n 9.518 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.518 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.518 * [taylor]: Taking taylor expansion of 1.0 in n 9.518 * [taylor]: Taking taylor expansion of (log n) in n 9.518 * [taylor]: Taking taylor expansion of n in n 9.520 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 9.520 * [taylor]: Taking taylor expansion of 1.0 in k 9.520 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 9.520 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 9.520 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 9.520 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 9.520 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 9.520 * [taylor]: Taking taylor expansion of -0.5 in k 9.520 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 9.520 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 9.520 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 9.520 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 9.520 * [taylor]: Taking taylor expansion of -2.0 in k 9.520 * [taylor]: Taking taylor expansion of PI in k 9.520 * [taylor]: Taking taylor expansion of (log n) in k 9.520 * [taylor]: Taking taylor expansion of n in k 9.520 * [taylor]: Taking taylor expansion of k in k 9.520 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.520 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.520 * [taylor]: Taking taylor expansion of -1 in k 9.520 * [taylor]: Taking taylor expansion of k in k 9.521 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 9.521 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 9.521 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 9.521 * [taylor]: Taking taylor expansion of 0.5 in k 9.521 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 9.521 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 9.521 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 9.521 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 9.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 9.521 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 9.521 * [taylor]: Taking taylor expansion of 1.0 in k 9.521 * [taylor]: Taking taylor expansion of (log -2.0) in k 9.521 * [taylor]: Taking taylor expansion of -2.0 in k 9.521 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.521 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.521 * [taylor]: Taking taylor expansion of 1.0 in k 9.521 * [taylor]: Taking taylor expansion of (log PI) in k 9.521 * [taylor]: Taking taylor expansion of PI in k 9.521 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 9.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 9.521 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 9.521 * [taylor]: Taking taylor expansion of 1.0 in k 9.521 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 9.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 9.521 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 9.521 * [taylor]: Taking taylor expansion of 1.0 in k 9.521 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 9.521 * [taylor]: Taking taylor expansion of (log 1) in k 9.521 * [taylor]: Taking taylor expansion of 1 in k 9.521 * [taylor]: Taking taylor expansion of (log n) in k 9.521 * [taylor]: Taking taylor expansion of n in k 9.527 * [taylor]: Taking taylor expansion of 0 in k 9.535 * [taylor]: Taking taylor expansion of 0 in k 9.546 * [taylor]: Taking taylor expansion of 0 in k 9.547 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 9.547 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 9.547 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 9.547 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 9.547 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 9.547 * [taylor]: Taking taylor expansion of 0.5 in n 9.547 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.547 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.547 * [taylor]: Taking taylor expansion of 2.0 in n 9.547 * [taylor]: Taking taylor expansion of (* n PI) in n 9.548 * [taylor]: Taking taylor expansion of n in n 9.548 * [taylor]: Taking taylor expansion of PI in n 9.548 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 9.548 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 9.548 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 9.548 * [taylor]: Taking taylor expansion of 0.5 in n 9.548 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.548 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.548 * [taylor]: Taking taylor expansion of 2.0 in n 9.548 * [taylor]: Taking taylor expansion of (* n PI) in n 9.548 * [taylor]: Taking taylor expansion of n in n 9.548 * [taylor]: Taking taylor expansion of PI in n 9.555 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 9.555 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 9.556 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 9.556 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 9.556 * [taylor]: Taking taylor expansion of 0.5 in n 9.556 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.556 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.556 * [taylor]: Taking taylor expansion of 2.0 in n 9.556 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.556 * [taylor]: Taking taylor expansion of PI in n 9.556 * [taylor]: Taking taylor expansion of n in n 9.556 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 9.556 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 9.556 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 9.556 * [taylor]: Taking taylor expansion of 0.5 in n 9.556 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.556 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.556 * [taylor]: Taking taylor expansion of 2.0 in n 9.556 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.556 * [taylor]: Taking taylor expansion of PI in n 9.556 * [taylor]: Taking taylor expansion of n in n 9.563 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 9.563 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 9.563 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 9.563 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 9.563 * [taylor]: Taking taylor expansion of 0.5 in n 9.563 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.563 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.563 * [taylor]: Taking taylor expansion of -2.0 in n 9.563 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.563 * [taylor]: Taking taylor expansion of PI in n 9.563 * [taylor]: Taking taylor expansion of n in n 9.564 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 9.564 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 9.564 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 9.564 * [taylor]: Taking taylor expansion of 0.5 in n 9.564 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.564 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.564 * [taylor]: Taking taylor expansion of -2.0 in n 9.564 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.564 * [taylor]: Taking taylor expansion of PI in n 9.564 * [taylor]: Taking taylor expansion of n in n 9.573 * * * [progress]: simplifying candidates 9.575 * [simplify]: Simplifying using # : (* (* 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) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ 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(- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 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(pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (+ (* 1.0 (* (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))))) (+ (* 1.0 (* (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5)))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 9.584 * * [simplify]: iteration 0 : 939 enodes (cost 1410 ) 9.599 * * [simplify]: iteration 1 : 4082 enodes (cost 1188 ) 9.664 * * [simplify]: iteration 2 : 5001 enodes (cost 1188 ) 9.672 * [simplify]: Simplified to: (* (* 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) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* 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) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) 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2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (neg (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (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) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.25 (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (* 1.0 (* (pow k 2) (pow NAN 5)))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 NAN) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* NAN (log n)))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n))))))) (+ (* 1.0 (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5) (+ (* 1.0 (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* 1.0 (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))))) (* (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5) (+ (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)))) 1.0) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 9.672 * * * [progress]: adding candidates to table 9.828 * * [progress]: iteration 3 / 4 9.828 * * * [progress]: picking best candidate 9.868 * * * * [pick]: Picked # 9.869 * * * [progress]: localizing error 9.889 * * * [progress]: generating rewritten candidates 9.889 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 9.899 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 9.903 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 9.908 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 9.917 * * * [progress]: generating series expansions 9.917 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 9.917 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in (k n) around 0 9.917 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 9.917 * [taylor]: Taking taylor expansion of 1.0 in n 9.918 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 9.918 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 9.918 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.918 * [taylor]: Taking taylor expansion of k in n 9.918 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 9.918 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 9.918 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 9.918 * [taylor]: Taking taylor expansion of 0.5 in n 9.918 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 9.918 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 9.918 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.918 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.918 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.918 * [taylor]: Taking taylor expansion of 1.0 in n 9.918 * [taylor]: Taking taylor expansion of (log PI) in n 9.918 * [taylor]: Taking taylor expansion of PI in n 9.918 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 9.918 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.918 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.918 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.918 * [taylor]: Taking taylor expansion of 1.0 in n 9.918 * [taylor]: Taking taylor expansion of (log n) in n 9.918 * [taylor]: Taking taylor expansion of n in n 9.918 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.918 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.918 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.918 * [taylor]: Taking taylor expansion of 1.0 in n 9.918 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.918 * [taylor]: Taking taylor expansion of 2.0 in n 9.919 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 9.919 * [taylor]: Taking taylor expansion of 1.0 in k 9.919 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 9.919 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.919 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.919 * [taylor]: Taking taylor expansion of k in k 9.919 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 9.919 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 9.919 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 9.919 * [taylor]: Taking taylor expansion of 0.5 in k 9.919 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 9.919 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 9.919 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.919 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.919 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.919 * [taylor]: Taking taylor expansion of 1.0 in k 9.919 * [taylor]: Taking taylor expansion of (log PI) in k 9.919 * [taylor]: Taking taylor expansion of PI in k 9.920 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 9.920 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.920 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.920 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.920 * [taylor]: Taking taylor expansion of 1.0 in k 9.920 * [taylor]: Taking taylor expansion of (log n) in k 9.920 * [taylor]: Taking taylor expansion of n in k 9.920 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 9.920 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 9.920 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 9.920 * [taylor]: Taking taylor expansion of 1.0 in k 9.920 * [taylor]: Taking taylor expansion of (log 2.0) in k 9.920 * [taylor]: Taking taylor expansion of 2.0 in k 9.921 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 9.921 * [taylor]: Taking taylor expansion of 1.0 in k 9.921 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 9.921 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.921 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.921 * [taylor]: Taking taylor expansion of k in k 9.921 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 9.921 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 9.921 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 9.921 * [taylor]: Taking taylor expansion of 0.5 in k 9.921 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 9.921 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 9.921 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.921 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.921 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.921 * [taylor]: Taking taylor expansion of 1.0 in k 9.921 * [taylor]: Taking taylor expansion of (log PI) in k 9.921 * [taylor]: Taking taylor expansion of PI in k 9.921 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 9.921 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.921 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.921 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.921 * [taylor]: Taking taylor expansion of 1.0 in k 9.921 * [taylor]: Taking taylor expansion of (log n) in k 9.921 * [taylor]: Taking taylor expansion of n in k 9.921 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 9.921 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 9.921 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 9.921 * [taylor]: Taking taylor expansion of 1.0 in k 9.921 * [taylor]: Taking taylor expansion of (log 2.0) in k 9.921 * [taylor]: Taking taylor expansion of 2.0 in k 9.922 * [taylor]: Taking taylor expansion of 0 in n 9.924 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 9.924 * [taylor]: Taking taylor expansion of 1.0 in n 9.924 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 9.924 * [taylor]: Taking taylor expansion of NAN in n 9.924 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 9.925 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 9.925 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 9.925 * [taylor]: Taking taylor expansion of 0.5 in n 9.925 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 9.925 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 9.925 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.925 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.925 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.925 * [taylor]: Taking taylor expansion of 1.0 in n 9.925 * [taylor]: Taking taylor expansion of (log PI) in n 9.925 * [taylor]: Taking taylor expansion of PI in n 9.925 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 9.925 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.925 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.925 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.925 * [taylor]: Taking taylor expansion of 1.0 in n 9.925 * [taylor]: Taking taylor expansion of (log n) in n 9.925 * [taylor]: Taking taylor expansion of n in n 9.925 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.925 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.925 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.925 * [taylor]: Taking taylor expansion of 1.0 in n 9.925 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.925 * [taylor]: Taking taylor expansion of 2.0 in n 9.930 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) in n 9.930 * [taylor]: Taking taylor expansion of 1.0 in n 9.930 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) in n 9.930 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 9.930 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 9.930 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 9.930 * [taylor]: Taking taylor expansion of 0.5 in n 9.930 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 9.930 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 9.930 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.930 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.930 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.930 * [taylor]: Taking taylor expansion of 1.0 in n 9.930 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.930 * [taylor]: Taking taylor expansion of 2.0 in n 9.930 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 9.930 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.930 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.930 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.930 * [taylor]: Taking taylor expansion of 1.0 in n 9.930 * [taylor]: Taking taylor expansion of (log n) in n 9.930 * [taylor]: Taking taylor expansion of n in n 9.930 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.930 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.930 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.930 * [taylor]: Taking taylor expansion of 1.0 in n 9.930 * [taylor]: Taking taylor expansion of (log PI) in n 9.930 * [taylor]: Taking taylor expansion of PI in n 9.931 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 9.931 * [taylor]: Taking taylor expansion of NAN in n 9.938 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 9.938 * [taylor]: Taking taylor expansion of 1.0 in n 9.938 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 9.938 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 9.938 * [taylor]: Taking taylor expansion of NAN in n 9.938 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 9.938 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 9.938 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 9.938 * [taylor]: Taking taylor expansion of 0.5 in n 9.938 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 9.938 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 9.939 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.939 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.939 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.939 * [taylor]: Taking taylor expansion of 1.0 in n 9.939 * [taylor]: Taking taylor expansion of (log PI) in n 9.939 * [taylor]: Taking taylor expansion of PI in n 9.939 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 9.939 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.939 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.939 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.939 * [taylor]: Taking taylor expansion of 1.0 in n 9.939 * [taylor]: Taking taylor expansion of (log n) in n 9.939 * [taylor]: Taking taylor expansion of n in n 9.939 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.939 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.939 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.939 * [taylor]: Taking taylor expansion of 1.0 in n 9.939 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.939 * [taylor]: Taking taylor expansion of 2.0 in n 9.942 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 9.942 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 9.942 * [taylor]: Taking taylor expansion of 1.0 in n 9.942 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 9.942 * [taylor]: Taking taylor expansion of (sqrt k) in n 9.942 * [taylor]: Taking taylor expansion of k in n 9.942 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 9.942 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 9.942 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 9.942 * [taylor]: Taking taylor expansion of 0.5 in n 9.942 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 9.942 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 9.942 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 9.942 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.942 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.942 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.942 * [taylor]: Taking taylor expansion of 1.0 in n 9.942 * [taylor]: Taking taylor expansion of (log PI) in n 9.942 * [taylor]: Taking taylor expansion of PI in n 9.942 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.942 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.942 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.942 * [taylor]: Taking taylor expansion of 1.0 in n 9.942 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.942 * [taylor]: Taking taylor expansion of 2.0 in n 9.942 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.942 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.942 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.942 * [taylor]: Taking taylor expansion of 1.0 in n 9.942 * [taylor]: Taking taylor expansion of (log n) in n 9.942 * [taylor]: Taking taylor expansion of n in n 9.943 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in k 9.943 * [taylor]: Taking taylor expansion of 1.0 in k 9.943 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 9.943 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.943 * [taylor]: Taking taylor expansion of k in k 9.943 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 9.944 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 9.944 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 9.944 * [taylor]: Taking taylor expansion of 0.5 in k 9.944 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 9.944 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 9.944 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 9.944 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.944 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.944 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.944 * [taylor]: Taking taylor expansion of 1.0 in k 9.944 * [taylor]: Taking taylor expansion of (log PI) in k 9.944 * [taylor]: Taking taylor expansion of PI in k 9.944 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 9.944 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 9.944 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 9.944 * [taylor]: Taking taylor expansion of 1.0 in k 9.944 * [taylor]: Taking taylor expansion of (log 2.0) in k 9.944 * [taylor]: Taking taylor expansion of 2.0 in k 9.944 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.944 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.944 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.944 * [taylor]: Taking taylor expansion of 1.0 in k 9.944 * [taylor]: Taking taylor expansion of (log n) in k 9.944 * [taylor]: Taking taylor expansion of n in k 9.945 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in k 9.945 * [taylor]: Taking taylor expansion of 1.0 in k 9.945 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 9.945 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.945 * [taylor]: Taking taylor expansion of k in k 9.945 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 9.945 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 9.945 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 9.945 * [taylor]: Taking taylor expansion of 0.5 in k 9.945 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 9.945 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 9.945 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 9.945 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.945 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.945 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.945 * [taylor]: Taking taylor expansion of 1.0 in k 9.945 * [taylor]: Taking taylor expansion of (log PI) in k 9.945 * [taylor]: Taking taylor expansion of PI in k 9.945 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 9.945 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 9.945 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 9.945 * [taylor]: Taking taylor expansion of 1.0 in k 9.945 * [taylor]: Taking taylor expansion of (log 2.0) in k 9.945 * [taylor]: Taking taylor expansion of 2.0 in k 9.945 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.945 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.945 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.945 * [taylor]: Taking taylor expansion of 1.0 in k 9.945 * [taylor]: Taking taylor expansion of (log n) in k 9.945 * [taylor]: Taking taylor expansion of n in k 9.947 * [taylor]: Taking taylor expansion of 0 in n 9.949 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) NAN)) in n 9.949 * [taylor]: Taking taylor expansion of 1.0 in n 9.949 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) NAN) in n 9.949 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.949 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.949 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.949 * [taylor]: Taking taylor expansion of 0.5 in n 9.949 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.949 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.949 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 9.949 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.949 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.949 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.949 * [taylor]: Taking taylor expansion of 1.0 in n 9.949 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.949 * [taylor]: Taking taylor expansion of 2.0 in n 9.949 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.949 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.949 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.949 * [taylor]: Taking taylor expansion of 1.0 in n 9.949 * [taylor]: Taking taylor expansion of (log PI) in n 9.949 * [taylor]: Taking taylor expansion of PI in n 9.949 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.949 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.949 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.949 * [taylor]: Taking taylor expansion of 1.0 in n 9.949 * [taylor]: Taking taylor expansion of (log n) in n 9.949 * [taylor]: Taking taylor expansion of n in n 9.950 * [taylor]: Taking taylor expansion of NAN in n 9.954 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 9.954 * [taylor]: Taking taylor expansion of 1.0 in n 9.954 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 9.954 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 9.954 * [taylor]: Taking taylor expansion of NAN in n 9.954 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 9.954 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 9.954 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 9.954 * [taylor]: Taking taylor expansion of 0.5 in n 9.955 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 9.955 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 9.955 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 9.955 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.955 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.955 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.955 * [taylor]: Taking taylor expansion of 1.0 in n 9.955 * [taylor]: Taking taylor expansion of (log PI) in n 9.955 * [taylor]: Taking taylor expansion of PI in n 9.955 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.955 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.955 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.955 * [taylor]: Taking taylor expansion of 1.0 in n 9.955 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.955 * [taylor]: Taking taylor expansion of 2.0 in n 9.955 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.955 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.955 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.955 * [taylor]: Taking taylor expansion of 1.0 in n 9.955 * [taylor]: Taking taylor expansion of (log n) in n 9.955 * [taylor]: Taking taylor expansion of n in n 9.963 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (pow NAN 5))) in n 9.964 * [taylor]: Taking taylor expansion of 1.0 in n 9.964 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (pow NAN 5)) in n 9.964 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.964 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.964 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.964 * [taylor]: Taking taylor expansion of 0.5 in n 9.964 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.964 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.964 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 9.964 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.964 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.964 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.964 * [taylor]: Taking taylor expansion of 1.0 in n 9.964 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.964 * [taylor]: Taking taylor expansion of 2.0 in n 9.964 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.964 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.964 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.964 * [taylor]: Taking taylor expansion of 1.0 in n 9.964 * [taylor]: Taking taylor expansion of (log PI) in n 9.964 * [taylor]: Taking taylor expansion of PI in n 9.964 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.964 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.964 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.964 * [taylor]: Taking taylor expansion of 1.0 in n 9.964 * [taylor]: Taking taylor expansion of (log n) in n 9.964 * [taylor]: Taking taylor expansion of n in n 9.965 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 9.965 * [taylor]: Taking taylor expansion of NAN in n 9.968 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 9.968 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 9.968 * [taylor]: Taking taylor expansion of 1.0 in n 9.968 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 9.968 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 9.968 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 9.968 * [taylor]: Taking taylor expansion of (/ -1 k) in n 9.968 * [taylor]: Taking taylor expansion of -1 in n 9.968 * [taylor]: Taking taylor expansion of k in n 9.968 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.968 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.968 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.968 * [taylor]: Taking taylor expansion of 0.5 in n 9.968 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.968 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.968 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 9.968 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 9.968 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 9.968 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 9.968 * [taylor]: Taking taylor expansion of 1.0 in n 9.968 * [taylor]: Taking taylor expansion of (log -2.0) in n 9.968 * [taylor]: Taking taylor expansion of -2.0 in n 9.968 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.968 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.968 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.968 * [taylor]: Taking taylor expansion of 1.0 in n 9.968 * [taylor]: Taking taylor expansion of (log PI) in n 9.968 * [taylor]: Taking taylor expansion of PI in n 9.968 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.968 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.968 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.968 * [taylor]: Taking taylor expansion of 1.0 in n 9.968 * [taylor]: Taking taylor expansion of (log n) in n 9.968 * [taylor]: Taking taylor expansion of n in n 9.969 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 9.969 * [taylor]: Taking taylor expansion of 1.0 in k 9.969 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 9.969 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 9.969 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.969 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.969 * [taylor]: Taking taylor expansion of -1 in k 9.970 * [taylor]: Taking taylor expansion of k in k 9.970 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 9.970 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 9.970 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 9.970 * [taylor]: Taking taylor expansion of 0.5 in k 9.970 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 9.970 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 9.970 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 9.970 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 9.970 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 9.970 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 9.970 * [taylor]: Taking taylor expansion of 1.0 in k 9.970 * [taylor]: Taking taylor expansion of (log -2.0) in k 9.970 * [taylor]: Taking taylor expansion of -2.0 in k 9.970 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.970 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.970 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.970 * [taylor]: Taking taylor expansion of 1.0 in k 9.970 * [taylor]: Taking taylor expansion of (log PI) in k 9.970 * [taylor]: Taking taylor expansion of PI in k 9.970 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.970 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.970 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.970 * [taylor]: Taking taylor expansion of 1.0 in k 9.970 * [taylor]: Taking taylor expansion of (log n) in k 9.970 * [taylor]: Taking taylor expansion of n in k 9.971 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 9.971 * [taylor]: Taking taylor expansion of 1.0 in k 9.971 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 9.971 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 9.971 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.971 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.971 * [taylor]: Taking taylor expansion of -1 in k 9.971 * [taylor]: Taking taylor expansion of k in k 9.971 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 9.971 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 9.971 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 9.971 * [taylor]: Taking taylor expansion of 0.5 in k 9.971 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 9.971 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 9.971 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 9.971 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 9.971 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 9.971 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 9.971 * [taylor]: Taking taylor expansion of 1.0 in k 9.971 * [taylor]: Taking taylor expansion of (log -2.0) in k 9.971 * [taylor]: Taking taylor expansion of -2.0 in k 9.971 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.971 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.971 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.971 * [taylor]: Taking taylor expansion of 1.0 in k 9.972 * [taylor]: Taking taylor expansion of (log PI) in k 9.972 * [taylor]: Taking taylor expansion of PI in k 9.972 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.972 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.972 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.972 * [taylor]: Taking taylor expansion of 1.0 in k 9.972 * [taylor]: Taking taylor expansion of (log n) in k 9.972 * [taylor]: Taking taylor expansion of n in k 9.973 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 NAN))) in n 9.973 * [taylor]: Taking taylor expansion of 1.0 in n 9.973 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 NAN)) in n 9.973 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.973 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.973 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.973 * [taylor]: Taking taylor expansion of 0.5 in n 9.973 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.973 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.973 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 9.973 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 9.973 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 9.973 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 9.973 * [taylor]: Taking taylor expansion of 1.0 in n 9.973 * [taylor]: Taking taylor expansion of (log -2.0) in n 9.973 * [taylor]: Taking taylor expansion of -2.0 in n 9.973 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.973 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.973 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.973 * [taylor]: Taking taylor expansion of 1.0 in n 9.973 * [taylor]: Taking taylor expansion of (log PI) in n 9.973 * [taylor]: Taking taylor expansion of PI in n 9.974 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.974 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.974 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.974 * [taylor]: Taking taylor expansion of 1.0 in n 9.974 * [taylor]: Taking taylor expansion of (log n) in n 9.974 * [taylor]: Taking taylor expansion of n in n 9.977 * [taylor]: Taking taylor expansion of (/ 1 NAN) in n 9.977 * [taylor]: Taking taylor expansion of NAN in n 9.981 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* NAN (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)))) in n 9.981 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 9.981 * [taylor]: Taking taylor expansion of 1.0 in n 9.981 * [taylor]: Taking taylor expansion of (* NAN (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 9.981 * [taylor]: Taking taylor expansion of NAN in n 9.981 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.981 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.981 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.981 * [taylor]: Taking taylor expansion of 0.5 in n 9.981 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.981 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.981 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 9.981 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 9.981 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 9.981 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 9.981 * [taylor]: Taking taylor expansion of 1.0 in n 9.981 * [taylor]: Taking taylor expansion of (log -2.0) in n 9.981 * [taylor]: Taking taylor expansion of -2.0 in n 9.981 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.981 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.981 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.981 * [taylor]: Taking taylor expansion of 1.0 in n 9.981 * [taylor]: Taking taylor expansion of (log PI) in n 9.981 * [taylor]: Taking taylor expansion of PI in n 9.981 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.981 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.981 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.981 * [taylor]: Taking taylor expansion of 1.0 in n 9.981 * [taylor]: Taking taylor expansion of (log n) in n 9.981 * [taylor]: Taking taylor expansion of n in n 9.989 * [taylor]: Taking taylor expansion of 0 in n 9.999 * [taylor]: Taking taylor expansion of 0 in n 9.999 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 9.999 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 10.000 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 10.000 * [taylor]: Taking taylor expansion of 1.0 in k 10.000 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.000 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.000 * [taylor]: Taking taylor expansion of k in k 10.000 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 10.000 * [taylor]: Taking taylor expansion of 1.0 in k 10.000 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.000 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.000 * [taylor]: Taking taylor expansion of k in k 10.001 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 10.001 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 10.001 * [taylor]: Taking taylor expansion of 1.0 in k 10.001 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.001 * [taylor]: Taking taylor expansion of k in k 10.001 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 10.001 * [taylor]: Taking taylor expansion of 1.0 in k 10.001 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.001 * [taylor]: Taking taylor expansion of k in k 10.002 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 10.002 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 10.002 * [taylor]: Taking taylor expansion of 1.0 in k 10.002 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.002 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.002 * [taylor]: Taking taylor expansion of -1 in k 10.002 * [taylor]: Taking taylor expansion of k in k 10.002 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 10.002 * [taylor]: Taking taylor expansion of 1.0 in k 10.002 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.002 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.002 * [taylor]: Taking taylor expansion of -1 in k 10.002 * [taylor]: Taking taylor expansion of k in k 10.007 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 10.007 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 10.007 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.007 * [taylor]: Taking taylor expansion of 2.0 in n 10.007 * [taylor]: Taking taylor expansion of (* n PI) in n 10.007 * [taylor]: Taking taylor expansion of n in n 10.007 * [taylor]: Taking taylor expansion of PI in n 10.007 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.007 * [taylor]: Taking taylor expansion of 2.0 in n 10.007 * [taylor]: Taking taylor expansion of (* n PI) in n 10.007 * [taylor]: Taking taylor expansion of n in n 10.007 * [taylor]: Taking taylor expansion of PI in n 10.008 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 10.008 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.008 * [taylor]: Taking taylor expansion of 2.0 in n 10.008 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.008 * [taylor]: Taking taylor expansion of PI in n 10.008 * [taylor]: Taking taylor expansion of n in n 10.008 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.008 * [taylor]: Taking taylor expansion of 2.0 in n 10.008 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.008 * [taylor]: Taking taylor expansion of PI in n 10.008 * [taylor]: Taking taylor expansion of n in n 10.009 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 10.009 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.009 * [taylor]: Taking taylor expansion of -2.0 in n 10.009 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.009 * [taylor]: Taking taylor expansion of PI in n 10.009 * [taylor]: Taking taylor expansion of n in n 10.009 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.009 * [taylor]: Taking taylor expansion of -2.0 in n 10.009 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.009 * [taylor]: Taking taylor expansion of PI in n 10.009 * [taylor]: Taking taylor expansion of n in n 10.010 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 10.010 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 10.010 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.010 * [taylor]: Taking taylor expansion of 2.0 in n 10.010 * [taylor]: Taking taylor expansion of (* n PI) in n 10.010 * [taylor]: Taking taylor expansion of n in n 10.010 * [taylor]: Taking taylor expansion of PI in n 10.010 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.010 * [taylor]: Taking taylor expansion of 2.0 in n 10.010 * [taylor]: Taking taylor expansion of (* n PI) in n 10.010 * [taylor]: Taking taylor expansion of n in n 10.010 * [taylor]: Taking taylor expansion of PI in n 10.011 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 10.011 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.011 * [taylor]: Taking taylor expansion of 2.0 in n 10.011 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.011 * [taylor]: Taking taylor expansion of PI in n 10.011 * [taylor]: Taking taylor expansion of n in n 10.011 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.011 * [taylor]: Taking taylor expansion of 2.0 in n 10.011 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.011 * [taylor]: Taking taylor expansion of PI in n 10.011 * [taylor]: Taking taylor expansion of n in n 10.012 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 10.012 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.012 * [taylor]: Taking taylor expansion of -2.0 in n 10.012 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.012 * [taylor]: Taking taylor expansion of PI in n 10.012 * [taylor]: Taking taylor expansion of n in n 10.012 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.012 * [taylor]: Taking taylor expansion of -2.0 in n 10.012 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.012 * [taylor]: Taking taylor expansion of PI in n 10.012 * [taylor]: Taking taylor expansion of n in n 10.013 * * * [progress]: simplifying candidates 10.015 * [simplify]: Simplifying using # : (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 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) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)))) (+ (* 1.0 (* (/ (pow NAN 5) (pow k 3)) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (+ (* 1.0 (* (/ NAN k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ (pow NAN 3) (pow k 2)) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))))) (+ (* 1.0 (* (/ NAN k) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ 1 NAN) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5)))) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (+ (* 1.0 NAN) (* 1.0 (* k (pow NAN 3))))) (+ (* 1.0 (/ (pow NAN 5) (pow k 3))) (+ (* 1.0 (/ (pow NAN 3) (pow k 2))) (* 1.0 (/ NAN k)))) (+ (* 1.0 (/ NAN k)) (* 1.0 (/ 1 NAN))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 10.022 * * [simplify]: iteration 0 : 621 enodes (cost 1038 ) 10.033 * * [simplify]: iteration 1 : 2688 enodes (cost 925 ) 10.075 * * [simplify]: iteration 2 : 5001 enodes (cost 915 ) 10.082 * [simplify]: Simplified to: (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt k)) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (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))) (neg 1.0) (neg (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)) (/ 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) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (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) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (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) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (* 1.0 (* k (pow NAN 3)))))) (+ (* 1.0 (* (/ (pow NAN 3) (pow k 2)) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5) (+ (* 1.0 (/ (pow NAN 5) (pow k 3))) (* 1.0 (/ NAN k))))) (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5) (* 1.0 (+ (/ NAN k) (/ 1 NAN)))) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 10.082 * * * [progress]: adding candidates to table 10.295 * * [progress]: iteration 4 / 4 10.295 * * * [progress]: picking best candidate 10.334 * * * * [pick]: Picked # 10.334 * * * [progress]: localizing error 10.352 * * * [progress]: generating rewritten candidates 10.352 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 10.356 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 10.360 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 10.365 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 10.401 * * * [progress]: generating series expansions 10.401 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 10.401 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 10.401 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 10.401 * [taylor]: Taking taylor expansion of 1.0 in k 10.401 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.401 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.401 * [taylor]: Taking taylor expansion of k in k 10.401 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 10.401 * [taylor]: Taking taylor expansion of 1.0 in k 10.401 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.401 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.401 * [taylor]: Taking taylor expansion of k in k 10.402 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 10.402 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 10.402 * [taylor]: Taking taylor expansion of 1.0 in k 10.402 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.403 * [taylor]: Taking taylor expansion of k in k 10.403 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 10.403 * [taylor]: Taking taylor expansion of 1.0 in k 10.403 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.403 * [taylor]: Taking taylor expansion of k in k 10.404 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 10.404 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 10.404 * [taylor]: Taking taylor expansion of 1.0 in k 10.404 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.404 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.404 * [taylor]: Taking taylor expansion of -1 in k 10.404 * [taylor]: Taking taylor expansion of k in k 10.404 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 10.404 * [taylor]: Taking taylor expansion of 1.0 in k 10.404 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.404 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.404 * [taylor]: Taking taylor expansion of -1 in k 10.404 * [taylor]: Taking taylor expansion of k in k 10.409 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 10.409 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 10.409 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.409 * [taylor]: Taking taylor expansion of 2.0 in n 10.409 * [taylor]: Taking taylor expansion of (* n PI) in n 10.409 * [taylor]: Taking taylor expansion of n in n 10.409 * [taylor]: Taking taylor expansion of PI in n 10.409 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.409 * [taylor]: Taking taylor expansion of 2.0 in n 10.409 * [taylor]: Taking taylor expansion of (* n PI) in n 10.409 * [taylor]: Taking taylor expansion of n in n 10.409 * [taylor]: Taking taylor expansion of PI in n 10.410 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 10.410 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.410 * [taylor]: Taking taylor expansion of 2.0 in n 10.410 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.410 * [taylor]: Taking taylor expansion of PI in n 10.410 * [taylor]: Taking taylor expansion of n in n 10.410 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.410 * [taylor]: Taking taylor expansion of 2.0 in n 10.410 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.410 * [taylor]: Taking taylor expansion of PI in n 10.410 * [taylor]: Taking taylor expansion of n in n 10.411 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 10.411 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.411 * [taylor]: Taking taylor expansion of -2.0 in n 10.411 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.411 * [taylor]: Taking taylor expansion of PI in n 10.411 * [taylor]: Taking taylor expansion of n in n 10.411 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.411 * [taylor]: Taking taylor expansion of -2.0 in n 10.411 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.411 * [taylor]: Taking taylor expansion of PI in n 10.411 * [taylor]: Taking taylor expansion of n in n 10.412 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 10.412 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 10.412 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.412 * [taylor]: Taking taylor expansion of 2.0 in n 10.412 * [taylor]: Taking taylor expansion of (* n PI) in n 10.412 * [taylor]: Taking taylor expansion of n in n 10.412 * [taylor]: Taking taylor expansion of PI in n 10.412 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.412 * [taylor]: Taking taylor expansion of 2.0 in n 10.412 * [taylor]: Taking taylor expansion of (* n PI) in n 10.412 * [taylor]: Taking taylor expansion of n in n 10.412 * [taylor]: Taking taylor expansion of PI in n 10.413 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 10.413 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.413 * [taylor]: Taking taylor expansion of 2.0 in n 10.413 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.413 * [taylor]: Taking taylor expansion of PI in n 10.413 * [taylor]: Taking taylor expansion of n in n 10.413 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.413 * [taylor]: Taking taylor expansion of 2.0 in n 10.413 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.413 * [taylor]: Taking taylor expansion of PI in n 10.413 * [taylor]: Taking taylor expansion of n in n 10.414 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 10.414 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.414 * [taylor]: Taking taylor expansion of -2.0 in n 10.414 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.414 * [taylor]: Taking taylor expansion of PI in n 10.414 * [taylor]: Taking taylor expansion of n in n 10.414 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.414 * [taylor]: Taking taylor expansion of -2.0 in n 10.414 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.414 * [taylor]: Taking taylor expansion of PI in n 10.414 * [taylor]: Taking taylor expansion of n in n 10.415 * * * * [progress]: [ 4 / 4 ] generating series at (2) 10.415 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (k n) around 0 10.415 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 10.415 * [taylor]: Taking taylor expansion of 1.0 in n 10.415 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 10.415 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 10.415 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.415 * [taylor]: Taking taylor expansion of k in n 10.416 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 10.416 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 10.416 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 10.416 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 10.416 * [taylor]: Taking taylor expansion of 0.5 in n 10.416 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 10.416 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 10.416 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.416 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.416 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.416 * [taylor]: Taking taylor expansion of 1.0 in n 10.416 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.416 * [taylor]: Taking taylor expansion of 2.0 in n 10.416 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 10.416 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.416 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.416 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.416 * [taylor]: Taking taylor expansion of 1.0 in n 10.416 * [taylor]: Taking taylor expansion of (log n) in n 10.416 * [taylor]: Taking taylor expansion of n in n 10.416 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.416 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.416 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.416 * [taylor]: Taking taylor expansion of 1.0 in n 10.416 * [taylor]: Taking taylor expansion of (log PI) in n 10.416 * [taylor]: Taking taylor expansion of PI in n 10.417 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 10.417 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 10.417 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 10.417 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 10.417 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 10.417 * [taylor]: Taking taylor expansion of 0.5 in n 10.417 * [taylor]: Taking taylor expansion of k in n 10.417 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 10.417 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.417 * [taylor]: Taking taylor expansion of 2.0 in n 10.417 * [taylor]: Taking taylor expansion of (* n PI) in n 10.417 * [taylor]: Taking taylor expansion of n in n 10.417 * [taylor]: Taking taylor expansion of PI in n 10.417 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 10.418 * [taylor]: Taking taylor expansion of 1.0 in k 10.418 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 10.418 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.418 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.418 * [taylor]: Taking taylor expansion of k in k 10.418 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 10.418 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 10.418 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 10.418 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 10.418 * [taylor]: Taking taylor expansion of 0.5 in k 10.418 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 10.418 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 10.418 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 10.418 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 10.418 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 10.418 * [taylor]: Taking taylor expansion of 1.0 in k 10.418 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.418 * [taylor]: Taking taylor expansion of 2.0 in k 10.418 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 10.418 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 10.418 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 10.418 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 10.418 * [taylor]: Taking taylor expansion of 1.0 in k 10.418 * [taylor]: Taking taylor expansion of (log n) in k 10.418 * [taylor]: Taking taylor expansion of n in k 10.418 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 10.418 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 10.418 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 10.418 * [taylor]: Taking taylor expansion of 1.0 in k 10.418 * [taylor]: Taking taylor expansion of (log PI) in k 10.418 * [taylor]: Taking taylor expansion of PI in k 10.419 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 10.419 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 10.419 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 10.419 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 10.419 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 10.419 * [taylor]: Taking taylor expansion of 0.5 in k 10.419 * [taylor]: Taking taylor expansion of k in k 10.419 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 10.419 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 10.419 * [taylor]: Taking taylor expansion of 2.0 in k 10.419 * [taylor]: Taking taylor expansion of (* n PI) in k 10.419 * [taylor]: Taking taylor expansion of n in k 10.419 * [taylor]: Taking taylor expansion of PI in k 10.420 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 10.420 * [taylor]: Taking taylor expansion of 1.0 in k 10.420 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 10.420 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.420 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.420 * [taylor]: Taking taylor expansion of k in k 10.420 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 10.420 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 10.420 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 10.420 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 10.420 * [taylor]: Taking taylor expansion of 0.5 in k 10.420 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 10.420 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 10.420 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 10.420 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 10.420 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 10.420 * [taylor]: Taking taylor expansion of 1.0 in k 10.420 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.420 * [taylor]: Taking taylor expansion of 2.0 in k 10.420 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 10.420 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 10.420 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 10.420 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 10.420 * [taylor]: Taking taylor expansion of 1.0 in k 10.420 * [taylor]: Taking taylor expansion of (log n) in k 10.420 * [taylor]: Taking taylor expansion of n in k 10.420 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 10.420 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 10.420 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 10.420 * [taylor]: Taking taylor expansion of 1.0 in k 10.420 * [taylor]: Taking taylor expansion of (log PI) in k 10.420 * [taylor]: Taking taylor expansion of PI in k 10.421 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 10.421 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 10.421 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 10.421 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 10.421 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 10.421 * [taylor]: Taking taylor expansion of 0.5 in k 10.421 * [taylor]: Taking taylor expansion of k in k 10.421 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 10.421 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 10.421 * [taylor]: Taking taylor expansion of 2.0 in k 10.421 * [taylor]: Taking taylor expansion of (* n PI) in k 10.421 * [taylor]: Taking taylor expansion of n in k 10.421 * [taylor]: Taking taylor expansion of PI in k 10.422 * [taylor]: Taking taylor expansion of 0 in n 10.425 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) NAN)) in n 10.425 * [taylor]: Taking taylor expansion of 1.0 in n 10.425 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) NAN) in n 10.425 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 10.425 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 10.425 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 10.425 * [taylor]: Taking taylor expansion of 0.5 in n 10.425 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 10.425 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 10.425 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.425 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.425 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.425 * [taylor]: Taking taylor expansion of 1.0 in n 10.425 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.425 * [taylor]: Taking taylor expansion of 2.0 in n 10.425 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 10.425 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.425 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.426 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.426 * [taylor]: Taking taylor expansion of 1.0 in n 10.426 * [taylor]: Taking taylor expansion of (log n) in n 10.426 * [taylor]: Taking taylor expansion of n in n 10.426 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.426 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.426 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.426 * [taylor]: Taking taylor expansion of 1.0 in n 10.426 * [taylor]: Taking taylor expansion of (log PI) in n 10.426 * [taylor]: Taking taylor expansion of PI in n 10.427 * [taylor]: Taking taylor expansion of NAN in n 10.433 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow NAN 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 10.433 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 10.433 * [taylor]: Taking taylor expansion of 1.0 in n 10.433 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 10.433 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 10.433 * [taylor]: Taking taylor expansion of NAN in n 10.433 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 10.433 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 10.433 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 10.433 * [taylor]: Taking taylor expansion of 0.5 in n 10.433 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 10.433 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 10.433 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.433 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.433 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.433 * [taylor]: Taking taylor expansion of 1.0 in n 10.433 * [taylor]: Taking taylor expansion of (log PI) in n 10.433 * [taylor]: Taking taylor expansion of PI in n 10.433 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 10.433 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.433 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.433 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.433 * [taylor]: Taking taylor expansion of 1.0 in n 10.433 * [taylor]: Taking taylor expansion of (log n) in n 10.433 * [taylor]: Taking taylor expansion of n in n 10.433 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.433 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.433 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.433 * [taylor]: Taking taylor expansion of 1.0 in n 10.433 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.433 * [taylor]: Taking taylor expansion of 2.0 in n 10.434 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 10.434 * [taylor]: Taking taylor expansion of 0.5 in n 10.434 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 10.434 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 10.434 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 10.434 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.434 * [taylor]: Taking taylor expansion of 2.0 in n 10.434 * [taylor]: Taking taylor expansion of (* n PI) in n 10.434 * [taylor]: Taking taylor expansion of n in n 10.434 * [taylor]: Taking taylor expansion of PI in n 10.434 * [taylor]: Taking taylor expansion of NAN in n 10.434 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 10.434 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 10.434 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 10.434 * [taylor]: Taking taylor expansion of 0.5 in n 10.434 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 10.435 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 10.435 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.435 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.435 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.435 * [taylor]: Taking taylor expansion of 1.0 in n 10.435 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.435 * [taylor]: Taking taylor expansion of 2.0 in n 10.435 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 10.435 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.435 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.435 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.435 * [taylor]: Taking taylor expansion of 1.0 in n 10.435 * [taylor]: Taking taylor expansion of (log n) in n 10.435 * [taylor]: Taking taylor expansion of n in n 10.435 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.435 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.435 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.435 * [taylor]: Taking taylor expansion of 1.0 in n 10.435 * [taylor]: Taking taylor expansion of (log PI) in n 10.435 * [taylor]: Taking taylor expansion of PI in n 10.449 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 10.449 * [taylor]: Taking taylor expansion of (+ (* 1.0 (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 10.449 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 10.449 * [taylor]: Taking taylor expansion of 1.0 in n 10.449 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 10.449 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 10.449 * [taylor]: Taking taylor expansion of NAN in n 10.449 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 10.449 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 10.449 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 10.449 * [taylor]: Taking taylor expansion of 0.5 in n 10.450 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 10.450 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 10.450 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.450 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.450 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.450 * [taylor]: Taking taylor expansion of 1.0 in n 10.450 * [taylor]: Taking taylor expansion of (log PI) in n 10.450 * [taylor]: Taking taylor expansion of PI in n 10.450 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 10.450 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.450 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.450 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.450 * [taylor]: Taking taylor expansion of 1.0 in n 10.450 * [taylor]: Taking taylor expansion of (log n) in n 10.450 * [taylor]: Taking taylor expansion of n in n 10.450 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.450 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.450 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.450 * [taylor]: Taking taylor expansion of 1.0 in n 10.450 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.450 * [taylor]: Taking taylor expansion of 2.0 in n 10.451 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 10.451 * [taylor]: Taking taylor expansion of 0.125 in n 10.451 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 10.451 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 10.451 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 10.451 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 10.451 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.451 * [taylor]: Taking taylor expansion of 2.0 in n 10.451 * [taylor]: Taking taylor expansion of (* n PI) in n 10.451 * [taylor]: Taking taylor expansion of n in n 10.451 * [taylor]: Taking taylor expansion of PI in n 10.451 * [taylor]: Taking taylor expansion of NAN in n 10.451 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 10.451 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 10.451 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 10.451 * [taylor]: Taking taylor expansion of 0.5 in n 10.451 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 10.451 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 10.451 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.451 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.451 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.451 * [taylor]: Taking taylor expansion of 1.0 in n 10.451 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.451 * [taylor]: Taking taylor expansion of 2.0 in n 10.451 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 10.451 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.452 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.452 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.452 * [taylor]: Taking taylor expansion of 1.0 in n 10.452 * [taylor]: Taking taylor expansion of (log n) in n 10.452 * [taylor]: Taking taylor expansion of n in n 10.452 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.452 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.452 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.452 * [taylor]: Taking taylor expansion of 1.0 in n 10.452 * [taylor]: Taking taylor expansion of (log PI) in n 10.452 * [taylor]: Taking taylor expansion of PI in n 10.453 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 10.453 * [taylor]: Taking taylor expansion of 0.5 in n 10.453 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 10.453 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 10.453 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 10.453 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.453 * [taylor]: Taking taylor expansion of 2.0 in n 10.453 * [taylor]: Taking taylor expansion of (* n PI) in n 10.453 * [taylor]: Taking taylor expansion of n in n 10.453 * [taylor]: Taking taylor expansion of PI in n 10.453 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 10.453 * [taylor]: Taking taylor expansion of NAN in n 10.453 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 10.453 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 10.453 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 10.453 * [taylor]: Taking taylor expansion of 0.5 in n 10.453 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 10.453 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 10.453 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.453 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.453 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.453 * [taylor]: Taking taylor expansion of 1.0 in n 10.453 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.453 * [taylor]: Taking taylor expansion of 2.0 in n 10.453 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 10.453 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.453 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.453 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.453 * [taylor]: Taking taylor expansion of 1.0 in n 10.453 * [taylor]: Taking taylor expansion of (log n) in n 10.453 * [taylor]: Taking taylor expansion of n in n 10.453 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.453 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.453 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.453 * [taylor]: Taking taylor expansion of 1.0 in n 10.453 * [taylor]: Taking taylor expansion of (log PI) in n 10.454 * [taylor]: Taking taylor expansion of PI in n 10.467 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (k n) around 0 10.467 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 10.467 * [taylor]: Taking taylor expansion of 1.0 in n 10.467 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 10.467 * [taylor]: Taking taylor expansion of (sqrt k) in n 10.467 * [taylor]: Taking taylor expansion of k in n 10.467 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 10.467 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 10.467 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 10.467 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 10.467 * [taylor]: Taking taylor expansion of 0.5 in n 10.467 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 10.467 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 10.467 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 10.467 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.467 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.467 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.467 * [taylor]: Taking taylor expansion of 1.0 in n 10.467 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.467 * [taylor]: Taking taylor expansion of 2.0 in n 10.467 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.467 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.467 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.467 * [taylor]: Taking taylor expansion of 1.0 in n 10.467 * [taylor]: Taking taylor expansion of (log PI) in n 10.467 * [taylor]: Taking taylor expansion of PI in n 10.468 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.468 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.468 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.468 * [taylor]: Taking taylor expansion of 1.0 in n 10.468 * [taylor]: Taking taylor expansion of (log n) in n 10.468 * [taylor]: Taking taylor expansion of n in n 10.469 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 10.469 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 10.469 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 10.469 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 10.469 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 10.469 * [taylor]: Taking taylor expansion of 0.5 in n 10.469 * [taylor]: Taking taylor expansion of k in n 10.469 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 10.469 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.469 * [taylor]: Taking taylor expansion of 2.0 in n 10.469 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.469 * [taylor]: Taking taylor expansion of PI in n 10.469 * [taylor]: Taking taylor expansion of n in n 10.469 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 10.469 * [taylor]: Taking taylor expansion of 1.0 in k 10.469 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 10.469 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.469 * [taylor]: Taking taylor expansion of k in k 10.469 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 10.469 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 10.469 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 10.469 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 10.469 * [taylor]: Taking taylor expansion of 0.5 in k 10.469 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 10.469 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 10.469 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 10.469 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 10.469 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 10.469 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 10.469 * [taylor]: Taking taylor expansion of 1.0 in k 10.469 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.469 * [taylor]: Taking taylor expansion of 2.0 in k 10.470 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 10.470 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 10.470 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 10.470 * [taylor]: Taking taylor expansion of 1.0 in k 10.470 * [taylor]: Taking taylor expansion of (log PI) in k 10.470 * [taylor]: Taking taylor expansion of PI in k 10.470 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 10.470 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 10.470 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 10.470 * [taylor]: Taking taylor expansion of 1.0 in k 10.470 * [taylor]: Taking taylor expansion of (log n) in k 10.470 * [taylor]: Taking taylor expansion of n in k 10.471 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 10.471 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 10.471 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 10.471 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 10.471 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 10.471 * [taylor]: Taking taylor expansion of 0.5 in k 10.471 * [taylor]: Taking taylor expansion of k in k 10.471 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 10.471 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 10.471 * [taylor]: Taking taylor expansion of 2.0 in k 10.471 * [taylor]: Taking taylor expansion of (/ PI n) in k 10.471 * [taylor]: Taking taylor expansion of PI in k 10.471 * [taylor]: Taking taylor expansion of n in k 10.471 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 10.471 * [taylor]: Taking taylor expansion of 1.0 in k 10.471 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 10.471 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.471 * [taylor]: Taking taylor expansion of k in k 10.471 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 10.471 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 10.471 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 10.471 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 10.471 * [taylor]: Taking taylor expansion of 0.5 in k 10.471 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 10.471 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 10.471 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 10.471 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 10.471 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 10.471 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 10.471 * [taylor]: Taking taylor expansion of 1.0 in k 10.471 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.471 * [taylor]: Taking taylor expansion of 2.0 in k 10.472 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 10.472 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 10.472 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 10.472 * [taylor]: Taking taylor expansion of 1.0 in k 10.472 * [taylor]: Taking taylor expansion of (log PI) in k 10.472 * [taylor]: Taking taylor expansion of PI in k 10.472 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 10.472 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 10.472 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 10.472 * [taylor]: Taking taylor expansion of 1.0 in k 10.472 * [taylor]: Taking taylor expansion of (log n) in k 10.472 * [taylor]: Taking taylor expansion of n in k 10.473 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 10.473 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 10.473 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 10.473 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 10.473 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 10.473 * [taylor]: Taking taylor expansion of 0.5 in k 10.473 * [taylor]: Taking taylor expansion of k in k 10.473 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 10.473 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 10.473 * [taylor]: Taking taylor expansion of 2.0 in k 10.473 * [taylor]: Taking taylor expansion of (/ PI n) in k 10.473 * [taylor]: Taking taylor expansion of PI in k 10.473 * [taylor]: Taking taylor expansion of n in k 10.474 * [taylor]: Taking taylor expansion of 0 in n 10.476 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ NAN (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 10.477 * [taylor]: Taking taylor expansion of 1.0 in n 10.477 * [taylor]: Taking taylor expansion of (* (/ NAN (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 10.477 * [taylor]: Taking taylor expansion of (/ NAN (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 10.477 * [taylor]: Taking taylor expansion of NAN in n 10.477 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 10.477 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 10.477 * [taylor]: Taking taylor expansion of 0.5 in n 10.477 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 10.477 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 10.477 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.477 * [taylor]: Taking taylor expansion of 2.0 in n 10.477 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.477 * [taylor]: Taking taylor expansion of PI in n 10.477 * [taylor]: Taking taylor expansion of n in n 10.477 * [taylor]: Taking taylor expansion of k in n 10.477 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 10.477 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 10.477 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 10.477 * [taylor]: Taking taylor expansion of 0.5 in n 10.477 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 10.477 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 10.477 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 10.477 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.477 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.477 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.477 * [taylor]: Taking taylor expansion of 1.0 in n 10.477 * [taylor]: Taking taylor expansion of (log PI) in n 10.477 * [taylor]: Taking taylor expansion of PI in n 10.477 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.477 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.478 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.478 * [taylor]: Taking taylor expansion of 1.0 in n 10.478 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.478 * [taylor]: Taking taylor expansion of 2.0 in n 10.478 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.478 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.478 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.478 * [taylor]: Taking taylor expansion of 1.0 in n 10.478 * [taylor]: Taking taylor expansion of (log n) in n 10.478 * [taylor]: Taking taylor expansion of n in n 10.484 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow NAN 3) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 10.484 * [taylor]: Taking taylor expansion of 1.0 in n 10.484 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow NAN 3) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 10.484 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 10.484 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 10.484 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 10.484 * [taylor]: Taking taylor expansion of 0.5 in n 10.484 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 10.484 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 10.484 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 10.484 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.484 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.484 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.484 * [taylor]: Taking taylor expansion of 1.0 in n 10.484 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.484 * [taylor]: Taking taylor expansion of 2.0 in n 10.484 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.484 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.484 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.484 * [taylor]: Taking taylor expansion of 1.0 in n 10.484 * [taylor]: Taking taylor expansion of (log PI) in n 10.484 * [taylor]: Taking taylor expansion of PI in n 10.484 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.484 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.484 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.484 * [taylor]: Taking taylor expansion of 1.0 in n 10.484 * [taylor]: Taking taylor expansion of (log n) in n 10.484 * [taylor]: Taking taylor expansion of n in n 10.485 * [taylor]: Taking taylor expansion of (/ (pow NAN 3) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 10.485 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 10.485 * [taylor]: Taking taylor expansion of NAN in n 10.485 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 10.485 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 10.485 * [taylor]: Taking taylor expansion of 0.5 in n 10.485 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 10.485 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 10.485 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.485 * [taylor]: Taking taylor expansion of 2.0 in n 10.485 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.486 * [taylor]: Taking taylor expansion of PI in n 10.486 * [taylor]: Taking taylor expansion of n in n 10.486 * [taylor]: Taking taylor expansion of k in n 10.497 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ (pow NAN 5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 10.497 * [taylor]: Taking taylor expansion of 1.0 in n 10.497 * [taylor]: Taking taylor expansion of (* (/ (pow NAN 5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 10.498 * [taylor]: Taking taylor expansion of (/ (pow NAN 5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 10.498 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 10.498 * [taylor]: Taking taylor expansion of NAN in n 10.498 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 10.498 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 10.498 * [taylor]: Taking taylor expansion of 0.5 in n 10.498 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 10.498 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 10.498 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.498 * [taylor]: Taking taylor expansion of 2.0 in n 10.498 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.498 * [taylor]: Taking taylor expansion of PI in n 10.498 * [taylor]: Taking taylor expansion of n in n 10.498 * [taylor]: Taking taylor expansion of k in n 10.498 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 10.498 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 10.498 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 10.498 * [taylor]: Taking taylor expansion of 0.5 in n 10.498 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 10.498 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 10.498 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 10.498 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.498 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.498 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.499 * [taylor]: Taking taylor expansion of 1.0 in n 10.499 * [taylor]: Taking taylor expansion of (log PI) in n 10.499 * [taylor]: Taking taylor expansion of PI in n 10.499 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.499 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.499 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.499 * [taylor]: Taking taylor expansion of 1.0 in n 10.499 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.499 * [taylor]: Taking taylor expansion of 2.0 in n 10.499 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.499 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.499 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.499 * [taylor]: Taking taylor expansion of 1.0 in n 10.499 * [taylor]: Taking taylor expansion of (log n) in n 10.499 * [taylor]: Taking taylor expansion of n in n 10.503 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 10.503 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 10.503 * [taylor]: Taking taylor expansion of 1.0 in n 10.503 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 10.503 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 10.503 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 10.503 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 10.503 * [taylor]: Taking taylor expansion of (/ -1 k) in n 10.503 * [taylor]: Taking taylor expansion of -1 in n 10.503 * [taylor]: Taking taylor expansion of k in n 10.503 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 10.503 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 10.503 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 10.503 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 10.503 * [taylor]: Taking taylor expansion of -0.5 in n 10.503 * [taylor]: Taking taylor expansion of k in n 10.503 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 10.503 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.503 * [taylor]: Taking taylor expansion of -2.0 in n 10.503 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.503 * [taylor]: Taking taylor expansion of PI in n 10.503 * [taylor]: Taking taylor expansion of n in n 10.504 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 10.504 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 10.504 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 10.504 * [taylor]: Taking taylor expansion of 0.5 in n 10.504 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 10.504 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 10.504 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 10.504 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 10.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 10.504 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 10.504 * [taylor]: Taking taylor expansion of 1.0 in n 10.504 * [taylor]: Taking taylor expansion of (log -2.0) in n 10.504 * [taylor]: Taking taylor expansion of -2.0 in n 10.504 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.504 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.504 * [taylor]: Taking taylor expansion of 1.0 in n 10.504 * [taylor]: Taking taylor expansion of (log PI) in n 10.504 * [taylor]: Taking taylor expansion of PI in n 10.504 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.504 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.504 * [taylor]: Taking taylor expansion of 1.0 in n 10.504 * [taylor]: Taking taylor expansion of (log n) in n 10.504 * [taylor]: Taking taylor expansion of n in n 10.505 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 10.505 * [taylor]: Taking taylor expansion of 1.0 in k 10.505 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 10.505 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 10.505 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 10.505 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.505 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.505 * [taylor]: Taking taylor expansion of -1 in k 10.505 * [taylor]: Taking taylor expansion of k in k 10.505 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 10.505 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 10.505 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 10.505 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 10.505 * [taylor]: Taking taylor expansion of -0.5 in k 10.505 * [taylor]: Taking taylor expansion of k in k 10.505 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 10.505 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 10.506 * [taylor]: Taking taylor expansion of -2.0 in k 10.506 * [taylor]: Taking taylor expansion of (/ PI n) in k 10.506 * [taylor]: Taking taylor expansion of PI in k 10.506 * [taylor]: Taking taylor expansion of n in k 10.506 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 10.506 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 10.506 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 10.506 * [taylor]: Taking taylor expansion of 0.5 in k 10.506 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 10.506 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 10.506 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 10.506 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 10.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 10.506 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 10.506 * [taylor]: Taking taylor expansion of 1.0 in k 10.506 * [taylor]: Taking taylor expansion of (log -2.0) in k 10.506 * [taylor]: Taking taylor expansion of -2.0 in k 10.506 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 10.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 10.506 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 10.506 * [taylor]: Taking taylor expansion of 1.0 in k 10.506 * [taylor]: Taking taylor expansion of (log PI) in k 10.506 * [taylor]: Taking taylor expansion of PI in k 10.506 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 10.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 10.506 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 10.506 * [taylor]: Taking taylor expansion of 1.0 in k 10.506 * [taylor]: Taking taylor expansion of (log n) in k 10.506 * [taylor]: Taking taylor expansion of n in k 10.507 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 10.507 * [taylor]: Taking taylor expansion of 1.0 in k 10.507 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 10.507 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 10.507 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 10.507 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.507 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.507 * [taylor]: Taking taylor expansion of -1 in k 10.507 * [taylor]: Taking taylor expansion of k in k 10.508 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 10.508 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 10.508 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 10.508 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 10.508 * [taylor]: Taking taylor expansion of -0.5 in k 10.508 * [taylor]: Taking taylor expansion of k in k 10.508 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 10.508 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 10.508 * [taylor]: Taking taylor expansion of -2.0 in k 10.508 * [taylor]: Taking taylor expansion of (/ PI n) in k 10.508 * [taylor]: Taking taylor expansion of PI in k 10.508 * [taylor]: Taking taylor expansion of n in k 10.508 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 10.508 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 10.508 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 10.508 * [taylor]: Taking taylor expansion of 0.5 in k 10.508 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 10.508 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 10.508 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 10.508 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 10.508 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 10.508 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 10.508 * [taylor]: Taking taylor expansion of 1.0 in k 10.508 * [taylor]: Taking taylor expansion of (log -2.0) in k 10.508 * [taylor]: Taking taylor expansion of -2.0 in k 10.508 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 10.508 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 10.508 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 10.508 * [taylor]: Taking taylor expansion of 1.0 in k 10.508 * [taylor]: Taking taylor expansion of (log PI) in k 10.508 * [taylor]: Taking taylor expansion of PI in k 10.509 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 10.509 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 10.509 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 10.509 * [taylor]: Taking taylor expansion of 1.0 in k 10.509 * [taylor]: Taking taylor expansion of (log n) in k 10.509 * [taylor]: Taking taylor expansion of n in k 10.510 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) NAN)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 10.510 * [taylor]: Taking taylor expansion of 1.0 in n 10.510 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) NAN)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 10.510 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) NAN)) in n 10.510 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) NAN) in n 10.510 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 10.510 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 10.510 * [taylor]: Taking taylor expansion of -0.5 in n 10.510 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 10.510 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 10.510 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.510 * [taylor]: Taking taylor expansion of -2.0 in n 10.510 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.510 * [taylor]: Taking taylor expansion of PI in n 10.510 * [taylor]: Taking taylor expansion of n in n 10.510 * [taylor]: Taking taylor expansion of k in n 10.511 * [taylor]: Taking taylor expansion of NAN in n 10.511 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 10.511 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 10.511 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 10.511 * [taylor]: Taking taylor expansion of 0.5 in n 10.511 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 10.511 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 10.511 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 10.511 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 10.511 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 10.511 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 10.511 * [taylor]: Taking taylor expansion of 1.0 in n 10.511 * [taylor]: Taking taylor expansion of (log -2.0) in n 10.511 * [taylor]: Taking taylor expansion of -2.0 in n 10.511 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.511 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.511 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.511 * [taylor]: Taking taylor expansion of 1.0 in n 10.511 * [taylor]: Taking taylor expansion of (log PI) in n 10.511 * [taylor]: Taking taylor expansion of PI in n 10.511 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.511 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.511 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.511 * [taylor]: Taking taylor expansion of 1.0 in n 10.511 * [taylor]: Taking taylor expansion of (log n) in n 10.511 * [taylor]: Taking taylor expansion of n in n 10.517 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (/ NAN (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)))) in n 10.517 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ NAN (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 10.517 * [taylor]: Taking taylor expansion of 1.0 in n 10.517 * [taylor]: Taking taylor expansion of (* (/ NAN (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 10.517 * [taylor]: Taking taylor expansion of (/ NAN (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 10.517 * [taylor]: Taking taylor expansion of NAN in n 10.517 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 10.517 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 10.517 * [taylor]: Taking taylor expansion of -0.5 in n 10.517 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 10.517 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 10.517 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.517 * [taylor]: Taking taylor expansion of -2.0 in n 10.517 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.517 * [taylor]: Taking taylor expansion of PI in n 10.517 * [taylor]: Taking taylor expansion of n in n 10.517 * [taylor]: Taking taylor expansion of k in n 10.517 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 10.517 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 10.517 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 10.517 * [taylor]: Taking taylor expansion of 0.5 in n 10.517 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 10.517 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 10.517 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 10.517 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 10.517 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 10.517 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 10.517 * [taylor]: Taking taylor expansion of 1.0 in n 10.517 * [taylor]: Taking taylor expansion of (log -2.0) in n 10.518 * [taylor]: Taking taylor expansion of -2.0 in n 10.518 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.518 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.518 * [taylor]: Taking taylor expansion of 1.0 in n 10.518 * [taylor]: Taking taylor expansion of (log PI) in n 10.518 * [taylor]: Taking taylor expansion of PI in n 10.518 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.518 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.518 * [taylor]: Taking taylor expansion of 1.0 in n 10.518 * [taylor]: Taking taylor expansion of (log n) in n 10.518 * [taylor]: Taking taylor expansion of n in n 10.528 * [taylor]: Taking taylor expansion of 0 in n 10.541 * [taylor]: Taking taylor expansion of 0 in n 10.542 * * * [progress]: simplifying candidates 10.546 * [simplify]: Simplifying using # : (- (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))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 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) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (log (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (log (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 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) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (/ (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 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) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 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(pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ 1.0 (sqrt k)) (/ 1 (pow (* 2.0 PI) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ 1 (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (/ 1 (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ 1.0 (sqrt k)) (/ 1 1)) (* (/ 1.0 (sqrt k)) (/ 1 (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* 2.0 PI) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) 1)) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (/ 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(/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 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 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (+ (* 1.0 NAN) (* 1.0 (* k (pow NAN 3))))) (+ (* 1.0 (/ (pow NAN 5) (pow k 3))) (+ (* 1.0 (/ (pow NAN 3) (pow k 2))) (* 1.0 (/ NAN k)))) (+ (* 1.0 (/ NAN k)) (* 1.0 (/ 1 NAN))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (* NAN (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))))))))) (+ (* 0.5 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (pow NAN 3) (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (* k (* NAN (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))))))) (+ (* 1.0 (* (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (+ (* 1.0 (* (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))))) (+ (* 1.0 (* (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5)))) 10.561 * * [simplify]: iteration 0 : 1280 enodes (cost 2683 ) 10.581 * * [simplify]: iteration 1 : 5001 enodes (cost 2479 ) 10.594 * [simplify]: Simplified to: (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (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))) (neg 1.0) (neg (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)) (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)) (/ (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) 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(/ (/ 1.0 2.0) 2)) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt k)) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 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 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2)))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) NAN)))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n)))) (* 0.5 (* k (* NAN (log n))))))) (* 1.0 (+ (* (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)) (+ (* (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)) (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))))) (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5) (+ (* 1.0 (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) (* 1.0 (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN))))) 10.595 * * * [progress]: adding candidates to table 10.948 * [progress]: [Phase 3 of 3] Extracting. 10.948 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 10.951 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 10.951 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # # #) 11.026 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # # # #) 11.107 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # # #) 11.179 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # # #) 11.253 * * * [regime]: Found split indices: #