6.591 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.077 * * * [progress]: [2/2] Setting up program. 0.080 * [progress]: [Phase 2 of 3] Improving. 0.080 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.081 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.083 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.086 * * [simplify]: iteration 2 : 57 enodes (cost 16 ) 0.093 * * [simplify]: iteration 3 : 114 enodes (cost 16 ) 0.114 * * [simplify]: iteration 4 : 300 enodes (cost 16 ) 0.177 * * [simplify]: iteration 5 : 849 enodes (cost 16 ) 0.480 * * [simplify]: iteration 6 : 3228 enodes (cost 16 ) 1.652 * * [simplify]: iteration done : 5001 enodes (cost 16 ) 1.652 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1.653 * * [progress]: iteration 1 / 4 1.653 * * * [progress]: picking best candidate 1.655 * * * * [pick]: Picked # 1.655 * * * [progress]: localizing error 1.668 * * * [progress]: generating rewritten candidates 1.668 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.671 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.681 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.687 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.714 * * * [progress]: generating series expansions 1.714 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.714 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.714 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.714 * [taylor]: Taking taylor expansion of 1.0 in k 1.714 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.714 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.714 * [taylor]: Taking taylor expansion of k in k 1.716 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.716 * [taylor]: Taking taylor expansion of 1.0 in k 1.716 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.716 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.716 * [taylor]: Taking taylor expansion of k in k 1.728 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.728 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.728 * [taylor]: Taking taylor expansion of 1.0 in k 1.728 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.728 * [taylor]: Taking taylor expansion of k in k 1.729 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.729 * [taylor]: Taking taylor expansion of 1.0 in k 1.729 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.729 * [taylor]: Taking taylor expansion of k in k 1.740 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.740 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.740 * [taylor]: Taking taylor expansion of 1.0 in k 1.740 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.740 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.740 * [taylor]: Taking taylor expansion of -1 in k 1.740 * [taylor]: Taking taylor expansion of k in k 1.741 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.741 * [taylor]: Taking taylor expansion of 1.0 in k 1.741 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.742 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.742 * [taylor]: Taking taylor expansion of -1 in k 1.742 * [taylor]: Taking taylor expansion of k in k 1.753 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.754 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.754 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.754 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.754 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.754 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.754 * [taylor]: Taking taylor expansion of 0.5 in k 1.754 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.754 * [taylor]: Taking taylor expansion of 1.0 in k 1.754 * [taylor]: Taking taylor expansion of k in k 1.754 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.754 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.754 * [taylor]: Taking taylor expansion of 2.0 in k 1.754 * [taylor]: Taking taylor expansion of (* n PI) in k 1.754 * [taylor]: Taking taylor expansion of n in k 1.754 * [taylor]: Taking taylor expansion of PI in k 1.755 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.755 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.755 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.755 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.755 * [taylor]: Taking taylor expansion of 0.5 in n 1.755 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.755 * [taylor]: Taking taylor expansion of 1.0 in n 1.755 * [taylor]: Taking taylor expansion of k in n 1.755 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.755 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.755 * [taylor]: Taking taylor expansion of 2.0 in n 1.755 * [taylor]: Taking taylor expansion of (* n PI) in n 1.755 * [taylor]: Taking taylor expansion of n in n 1.755 * [taylor]: Taking taylor expansion of PI in n 1.761 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.761 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.761 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.761 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.761 * [taylor]: Taking taylor expansion of 0.5 in n 1.761 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.761 * [taylor]: Taking taylor expansion of 1.0 in n 1.761 * [taylor]: Taking taylor expansion of k in n 1.761 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.761 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.761 * [taylor]: Taking taylor expansion of 2.0 in n 1.761 * [taylor]: Taking taylor expansion of (* n PI) in n 1.761 * [taylor]: Taking taylor expansion of n in n 1.761 * [taylor]: Taking taylor expansion of PI in n 1.767 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.767 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.767 * [taylor]: Taking taylor expansion of 0.5 in k 1.767 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.767 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.767 * [taylor]: Taking taylor expansion of 1.0 in k 1.767 * [taylor]: Taking taylor expansion of k in k 1.767 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.767 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.767 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.767 * [taylor]: Taking taylor expansion of 2.0 in k 1.767 * [taylor]: Taking taylor expansion of PI in k 1.768 * [taylor]: Taking taylor expansion of (log n) in k 1.768 * [taylor]: Taking taylor expansion of n in k 1.777 * [taylor]: Taking taylor expansion of 0 in k 1.798 * [taylor]: Taking taylor expansion of 0 in k 1.817 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.817 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.817 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.817 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.817 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.817 * [taylor]: Taking taylor expansion of 0.5 in k 1.817 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.817 * [taylor]: Taking taylor expansion of 1.0 in k 1.817 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.817 * [taylor]: Taking taylor expansion of k in k 1.818 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.818 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.818 * [taylor]: Taking taylor expansion of 2.0 in k 1.818 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.818 * [taylor]: Taking taylor expansion of PI in k 1.818 * [taylor]: Taking taylor expansion of n in k 1.819 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.819 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.819 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.819 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.819 * [taylor]: Taking taylor expansion of 0.5 in n 1.819 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.819 * [taylor]: Taking taylor expansion of 1.0 in n 1.819 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.819 * [taylor]: Taking taylor expansion of k in n 1.819 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.819 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.819 * [taylor]: Taking taylor expansion of 2.0 in n 1.819 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.819 * [taylor]: Taking taylor expansion of PI in n 1.819 * [taylor]: Taking taylor expansion of n in n 1.823 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.823 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.823 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.823 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.823 * [taylor]: Taking taylor expansion of 0.5 in n 1.823 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.823 * [taylor]: Taking taylor expansion of 1.0 in n 1.823 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.823 * [taylor]: Taking taylor expansion of k in n 1.823 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.823 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.823 * [taylor]: Taking taylor expansion of 2.0 in n 1.823 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.823 * [taylor]: Taking taylor expansion of PI in n 1.823 * [taylor]: Taking taylor expansion of n in n 1.827 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.827 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.827 * [taylor]: Taking taylor expansion of 0.5 in k 1.827 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.827 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.827 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.827 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.827 * [taylor]: Taking taylor expansion of 2.0 in k 1.827 * [taylor]: Taking taylor expansion of PI in k 1.828 * [taylor]: Taking taylor expansion of (log n) in k 1.828 * [taylor]: Taking taylor expansion of n in k 1.828 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.828 * [taylor]: Taking taylor expansion of 1.0 in k 1.828 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.828 * [taylor]: Taking taylor expansion of k in k 1.838 * [taylor]: Taking taylor expansion of 0 in k 1.846 * [taylor]: Taking taylor expansion of 0 in k 1.855 * [taylor]: Taking taylor expansion of 0 in k 1.856 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.856 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.856 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.856 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.856 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.856 * [taylor]: Taking taylor expansion of 0.5 in k 1.856 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.856 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.857 * [taylor]: Taking taylor expansion of k in k 1.857 * [taylor]: Taking taylor expansion of 1.0 in k 1.857 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.857 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.857 * [taylor]: Taking taylor expansion of -2.0 in k 1.857 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.857 * [taylor]: Taking taylor expansion of PI in k 1.857 * [taylor]: Taking taylor expansion of n in k 1.858 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.858 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.858 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.858 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.858 * [taylor]: Taking taylor expansion of 0.5 in n 1.858 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.858 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.858 * [taylor]: Taking taylor expansion of k in n 1.858 * [taylor]: Taking taylor expansion of 1.0 in n 1.858 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.858 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.858 * [taylor]: Taking taylor expansion of -2.0 in n 1.858 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.858 * [taylor]: Taking taylor expansion of PI in n 1.858 * [taylor]: Taking taylor expansion of n in n 1.862 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.862 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.862 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.862 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.862 * [taylor]: Taking taylor expansion of 0.5 in n 1.862 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.862 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.862 * [taylor]: Taking taylor expansion of k in n 1.862 * [taylor]: Taking taylor expansion of 1.0 in n 1.862 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.862 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.862 * [taylor]: Taking taylor expansion of -2.0 in n 1.862 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.862 * [taylor]: Taking taylor expansion of PI in n 1.862 * [taylor]: Taking taylor expansion of n in n 1.866 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.866 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.866 * [taylor]: Taking taylor expansion of 0.5 in k 1.866 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.866 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.866 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.866 * [taylor]: Taking taylor expansion of k in k 1.866 * [taylor]: Taking taylor expansion of 1.0 in k 1.866 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.866 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.866 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.866 * [taylor]: Taking taylor expansion of -2.0 in k 1.866 * [taylor]: Taking taylor expansion of PI in k 1.867 * [taylor]: Taking taylor expansion of (log n) in k 1.867 * [taylor]: Taking taylor expansion of n in k 1.880 * [taylor]: Taking taylor expansion of 0 in k 1.887 * [taylor]: Taking taylor expansion of 0 in k 1.896 * [taylor]: Taking taylor expansion of 0 in k 1.897 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.898 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.898 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.898 * [taylor]: Taking taylor expansion of 2.0 in n 1.898 * [taylor]: Taking taylor expansion of (* n PI) in n 1.898 * [taylor]: Taking taylor expansion of n in n 1.898 * [taylor]: Taking taylor expansion of PI in n 1.898 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.898 * [taylor]: Taking taylor expansion of 2.0 in n 1.898 * [taylor]: Taking taylor expansion of (* n PI) in n 1.898 * [taylor]: Taking taylor expansion of n in n 1.898 * [taylor]: Taking taylor expansion of PI in n 1.910 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.910 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.910 * [taylor]: Taking taylor expansion of 2.0 in n 1.910 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.910 * [taylor]: Taking taylor expansion of PI in n 1.910 * [taylor]: Taking taylor expansion of n in n 1.911 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.911 * [taylor]: Taking taylor expansion of 2.0 in n 1.911 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.911 * [taylor]: Taking taylor expansion of PI in n 1.911 * [taylor]: Taking taylor expansion of n in n 1.920 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.920 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.920 * [taylor]: Taking taylor expansion of -2.0 in n 1.920 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.920 * [taylor]: Taking taylor expansion of PI in n 1.920 * [taylor]: Taking taylor expansion of n in n 1.920 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.921 * [taylor]: Taking taylor expansion of -2.0 in n 1.921 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.921 * [taylor]: Taking taylor expansion of PI in n 1.921 * [taylor]: Taking taylor expansion of n in n 1.929 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.930 * [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 1.930 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 1.930 * [taylor]: Taking taylor expansion of 1.0 in n 1.930 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 1.930 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.930 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.930 * [taylor]: Taking taylor expansion of k in n 1.930 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.930 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.930 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.930 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.930 * [taylor]: Taking taylor expansion of 0.5 in n 1.930 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.930 * [taylor]: Taking taylor expansion of 1.0 in n 1.930 * [taylor]: Taking taylor expansion of k in n 1.930 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.930 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.930 * [taylor]: Taking taylor expansion of 2.0 in n 1.930 * [taylor]: Taking taylor expansion of (* n PI) in n 1.930 * [taylor]: Taking taylor expansion of n in n 1.930 * [taylor]: Taking taylor expansion of PI in n 1.936 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 1.936 * [taylor]: Taking taylor expansion of 1.0 in k 1.936 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 1.936 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.936 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.936 * [taylor]: Taking taylor expansion of k in k 1.937 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.937 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.937 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.938 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.938 * [taylor]: Taking taylor expansion of 0.5 in k 1.938 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.938 * [taylor]: Taking taylor expansion of 1.0 in k 1.938 * [taylor]: Taking taylor expansion of k in k 1.938 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.938 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.938 * [taylor]: Taking taylor expansion of 2.0 in k 1.938 * [taylor]: Taking taylor expansion of (* n PI) in k 1.938 * [taylor]: Taking taylor expansion of n in k 1.938 * [taylor]: Taking taylor expansion of PI in k 1.939 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 1.939 * [taylor]: Taking taylor expansion of 1.0 in k 1.939 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 1.939 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.939 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.939 * [taylor]: Taking taylor expansion of k in k 1.940 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.940 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.940 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.940 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.940 * [taylor]: Taking taylor expansion of 0.5 in k 1.940 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.940 * [taylor]: Taking taylor expansion of 1.0 in k 1.940 * [taylor]: Taking taylor expansion of k in k 1.940 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.940 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.940 * [taylor]: Taking taylor expansion of 2.0 in k 1.940 * [taylor]: Taking taylor expansion of (* n PI) in k 1.940 * [taylor]: Taking taylor expansion of n in k 1.940 * [taylor]: Taking taylor expansion of PI in k 1.942 * [taylor]: Taking taylor expansion of 0 in n 1.947 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.947 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.947 * [taylor]: Taking taylor expansion of +nan.0 in n 1.947 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.947 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.948 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.948 * [taylor]: Taking taylor expansion of 0.5 in n 1.948 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.948 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.948 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.948 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.948 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.948 * [taylor]: Taking taylor expansion of 1.0 in n 1.948 * [taylor]: Taking taylor expansion of (log PI) in n 1.948 * [taylor]: Taking taylor expansion of PI in n 1.950 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.950 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.950 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.950 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.950 * [taylor]: Taking taylor expansion of 1.0 in n 1.950 * [taylor]: Taking taylor expansion of (log n) in n 1.950 * [taylor]: Taking taylor expansion of n in n 1.950 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.950 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.950 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.950 * [taylor]: Taking taylor expansion of 1.0 in n 1.950 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.950 * [taylor]: Taking taylor expansion of 2.0 in n 1.973 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 1.973 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 1.973 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.973 * [taylor]: Taking taylor expansion of +nan.0 in n 1.973 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.973 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.973 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.973 * [taylor]: Taking taylor expansion of 0.5 in n 1.974 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.974 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.974 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.974 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.974 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.974 * [taylor]: Taking taylor expansion of 1.0 in n 1.974 * [taylor]: Taking taylor expansion of (log PI) in n 1.974 * [taylor]: Taking taylor expansion of PI in n 1.975 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.976 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.976 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.976 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.976 * [taylor]: Taking taylor expansion of 1.0 in n 1.976 * [taylor]: Taking taylor expansion of (log n) in n 1.976 * [taylor]: Taking taylor expansion of n in n 1.976 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.976 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.976 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.976 * [taylor]: Taking taylor expansion of 1.0 in n 1.976 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.976 * [taylor]: Taking taylor expansion of 2.0 in n 1.982 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 1.982 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 1.982 * [taylor]: Taking taylor expansion of +nan.0 in n 1.982 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 1.982 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 1.982 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 1.982 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 1.982 * [taylor]: Taking taylor expansion of 0.5 in n 1.982 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 1.982 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 1.982 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.982 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.982 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.982 * [taylor]: Taking taylor expansion of 1.0 in n 1.982 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.982 * [taylor]: Taking taylor expansion of 2.0 in n 1.984 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 1.984 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.984 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.984 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.984 * [taylor]: Taking taylor expansion of 1.0 in n 1.984 * [taylor]: Taking taylor expansion of (log PI) in n 1.984 * [taylor]: Taking taylor expansion of PI in n 1.986 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.986 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.986 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.986 * [taylor]: Taking taylor expansion of 1.0 in n 1.986 * [taylor]: Taking taylor expansion of (log n) in n 1.986 * [taylor]: Taking taylor expansion of n in n 1.991 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.991 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.991 * [taylor]: Taking taylor expansion of 2.0 in n 1.991 * [taylor]: Taking taylor expansion of (* n PI) in n 1.991 * [taylor]: Taking taylor expansion of n in n 1.991 * [taylor]: Taking taylor expansion of PI in n 2.042 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 2.042 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 2.042 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.042 * [taylor]: Taking taylor expansion of +nan.0 in n 2.042 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.042 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.042 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.042 * [taylor]: Taking taylor expansion of 0.5 in n 2.042 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.042 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.042 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.042 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.042 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.042 * [taylor]: Taking taylor expansion of 1.0 in n 2.042 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.042 * [taylor]: Taking taylor expansion of 2.0 in n 2.044 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.044 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.044 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.044 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.044 * [taylor]: Taking taylor expansion of 1.0 in n 2.044 * [taylor]: Taking taylor expansion of (log n) in n 2.044 * [taylor]: Taking taylor expansion of n in n 2.044 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.044 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.044 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.044 * [taylor]: Taking taylor expansion of 1.0 in n 2.044 * [taylor]: Taking taylor expansion of (log PI) in n 2.044 * [taylor]: Taking taylor expansion of PI in n 2.053 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 2.053 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 2.053 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.053 * [taylor]: Taking taylor expansion of +nan.0 in n 2.053 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.054 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.054 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.054 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.054 * [taylor]: Taking taylor expansion of 0.5 in n 2.054 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.054 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.054 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.054 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.054 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.054 * [taylor]: Taking taylor expansion of 1.0 in n 2.054 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.054 * [taylor]: Taking taylor expansion of 2.0 in n 2.056 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.056 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.056 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.056 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.056 * [taylor]: Taking taylor expansion of 1.0 in n 2.056 * [taylor]: Taking taylor expansion of (log PI) in n 2.056 * [taylor]: Taking taylor expansion of PI in n 2.058 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.058 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.058 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.058 * [taylor]: Taking taylor expansion of 1.0 in n 2.058 * [taylor]: Taking taylor expansion of (log n) in n 2.058 * [taylor]: Taking taylor expansion of n in n 2.062 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.062 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.062 * [taylor]: Taking taylor expansion of 2.0 in n 2.062 * [taylor]: Taking taylor expansion of (* n PI) in n 2.062 * [taylor]: Taking taylor expansion of n in n 2.062 * [taylor]: Taking taylor expansion of PI in n 2.065 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 2.065 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 2.065 * [taylor]: Taking taylor expansion of +nan.0 in n 2.065 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 2.065 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.065 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.065 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.065 * [taylor]: Taking taylor expansion of 0.5 in n 2.065 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.065 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.065 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.065 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.065 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.065 * [taylor]: Taking taylor expansion of 1.0 in n 2.065 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.065 * [taylor]: Taking taylor expansion of 2.0 in n 2.067 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.067 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.067 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.067 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.067 * [taylor]: Taking taylor expansion of 1.0 in n 2.067 * [taylor]: Taking taylor expansion of (log PI) in n 2.067 * [taylor]: Taking taylor expansion of PI in n 2.069 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.069 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.069 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.069 * [taylor]: Taking taylor expansion of 1.0 in n 2.069 * [taylor]: Taking taylor expansion of (log n) in n 2.069 * [taylor]: Taking taylor expansion of n in n 2.074 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.074 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.074 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.074 * [taylor]: Taking taylor expansion of 2.0 in n 2.074 * [taylor]: Taking taylor expansion of (* n PI) in n 2.074 * [taylor]: Taking taylor expansion of n in n 2.074 * [taylor]: Taking taylor expansion of PI in n 2.153 * [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 2.153 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.153 * [taylor]: Taking taylor expansion of 1.0 in n 2.153 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.153 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.153 * [taylor]: Taking taylor expansion of k in n 2.153 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.153 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.153 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.153 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.153 * [taylor]: Taking taylor expansion of 0.5 in n 2.153 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.153 * [taylor]: Taking taylor expansion of 1.0 in n 2.153 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.153 * [taylor]: Taking taylor expansion of k in n 2.153 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.153 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.153 * [taylor]: Taking taylor expansion of 2.0 in n 2.153 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.154 * [taylor]: Taking taylor expansion of PI in n 2.154 * [taylor]: Taking taylor expansion of n in n 2.157 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.157 * [taylor]: Taking taylor expansion of 1.0 in k 2.157 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.157 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.157 * [taylor]: Taking taylor expansion of k in k 2.159 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.159 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.159 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.159 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.159 * [taylor]: Taking taylor expansion of 0.5 in k 2.159 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.159 * [taylor]: Taking taylor expansion of 1.0 in k 2.159 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.159 * [taylor]: Taking taylor expansion of k in k 2.159 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.159 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.159 * [taylor]: Taking taylor expansion of 2.0 in k 2.159 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.159 * [taylor]: Taking taylor expansion of PI in k 2.159 * [taylor]: Taking taylor expansion of n in k 2.160 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.160 * [taylor]: Taking taylor expansion of 1.0 in k 2.160 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.160 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.160 * [taylor]: Taking taylor expansion of k in k 2.161 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.161 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.161 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.161 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.161 * [taylor]: Taking taylor expansion of 0.5 in k 2.161 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.161 * [taylor]: Taking taylor expansion of 1.0 in k 2.161 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.161 * [taylor]: Taking taylor expansion of k in k 2.162 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.162 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.162 * [taylor]: Taking taylor expansion of 2.0 in k 2.162 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.162 * [taylor]: Taking taylor expansion of PI in k 2.162 * [taylor]: Taking taylor expansion of n in k 2.163 * [taylor]: Taking taylor expansion of 0 in n 2.164 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.164 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.164 * [taylor]: Taking taylor expansion of +nan.0 in n 2.164 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.164 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.164 * [taylor]: Taking taylor expansion of 0.5 in n 2.164 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.164 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.164 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.164 * [taylor]: Taking taylor expansion of 2.0 in n 2.164 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.164 * [taylor]: Taking taylor expansion of PI in n 2.164 * [taylor]: Taking taylor expansion of n in n 2.166 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.166 * [taylor]: Taking taylor expansion of 1.0 in n 2.166 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.166 * [taylor]: Taking taylor expansion of k in n 2.175 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.175 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.175 * [taylor]: Taking taylor expansion of +nan.0 in n 2.175 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.175 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.175 * [taylor]: Taking taylor expansion of 0.5 in n 2.175 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.175 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.175 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.175 * [taylor]: Taking taylor expansion of 2.0 in n 2.175 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.175 * [taylor]: Taking taylor expansion of PI in n 2.175 * [taylor]: Taking taylor expansion of n in n 2.176 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.176 * [taylor]: Taking taylor expansion of 1.0 in n 2.176 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.176 * [taylor]: Taking taylor expansion of k in n 2.194 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.194 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.194 * [taylor]: Taking taylor expansion of +nan.0 in n 2.194 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.194 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.194 * [taylor]: Taking taylor expansion of 0.5 in n 2.194 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.194 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.194 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.194 * [taylor]: Taking taylor expansion of 2.0 in n 2.194 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.194 * [taylor]: Taking taylor expansion of PI in n 2.194 * [taylor]: Taking taylor expansion of n in n 2.195 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.196 * [taylor]: Taking taylor expansion of 1.0 in n 2.196 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.196 * [taylor]: Taking taylor expansion of k in n 2.205 * [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 2.205 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 2.205 * [taylor]: Taking taylor expansion of 1.0 in n 2.205 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.205 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.205 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.205 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.205 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.205 * [taylor]: Taking taylor expansion of 0.5 in n 2.205 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.205 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.205 * [taylor]: Taking taylor expansion of k in n 2.205 * [taylor]: Taking taylor expansion of 1.0 in n 2.205 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.205 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.205 * [taylor]: Taking taylor expansion of -2.0 in n 2.205 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.205 * [taylor]: Taking taylor expansion of PI in n 2.205 * [taylor]: Taking taylor expansion of n in n 2.209 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.209 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.209 * [taylor]: Taking taylor expansion of -1 in n 2.209 * [taylor]: Taking taylor expansion of k in n 2.210 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.210 * [taylor]: Taking taylor expansion of 1.0 in k 2.210 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.210 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.210 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.210 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.210 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.210 * [taylor]: Taking taylor expansion of 0.5 in k 2.210 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.210 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.210 * [taylor]: Taking taylor expansion of k in k 2.210 * [taylor]: Taking taylor expansion of 1.0 in k 2.210 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.210 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.210 * [taylor]: Taking taylor expansion of -2.0 in k 2.210 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.210 * [taylor]: Taking taylor expansion of PI in k 2.210 * [taylor]: Taking taylor expansion of n in k 2.211 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.211 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.211 * [taylor]: Taking taylor expansion of -1 in k 2.211 * [taylor]: Taking taylor expansion of k in k 2.213 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.213 * [taylor]: Taking taylor expansion of 1.0 in k 2.213 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.213 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.213 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.213 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.213 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.213 * [taylor]: Taking taylor expansion of 0.5 in k 2.213 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.213 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.213 * [taylor]: Taking taylor expansion of k in k 2.213 * [taylor]: Taking taylor expansion of 1.0 in k 2.213 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.213 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.213 * [taylor]: Taking taylor expansion of -2.0 in k 2.213 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.213 * [taylor]: Taking taylor expansion of PI in k 2.213 * [taylor]: Taking taylor expansion of n in k 2.214 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.214 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.214 * [taylor]: Taking taylor expansion of -1 in k 2.214 * [taylor]: Taking taylor expansion of k in k 2.216 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.216 * [taylor]: Taking taylor expansion of +nan.0 in n 2.216 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.216 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.216 * [taylor]: Taking taylor expansion of 0.5 in n 2.216 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.216 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.216 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.216 * [taylor]: Taking taylor expansion of k in n 2.216 * [taylor]: Taking taylor expansion of 1.0 in n 2.216 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.216 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.216 * [taylor]: Taking taylor expansion of -2.0 in n 2.216 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.216 * [taylor]: Taking taylor expansion of PI in n 2.216 * [taylor]: Taking taylor expansion of n in n 2.225 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.225 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.225 * [taylor]: Taking taylor expansion of +nan.0 in n 2.225 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.225 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.225 * [taylor]: Taking taylor expansion of 0.5 in n 2.225 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.225 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.225 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.225 * [taylor]: Taking taylor expansion of k in n 2.225 * [taylor]: Taking taylor expansion of 1.0 in n 2.225 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.226 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.226 * [taylor]: Taking taylor expansion of -2.0 in n 2.226 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.226 * [taylor]: Taking taylor expansion of PI in n 2.226 * [taylor]: Taking taylor expansion of n in n 2.248 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.248 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.248 * [taylor]: Taking taylor expansion of +nan.0 in n 2.248 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.248 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.248 * [taylor]: Taking taylor expansion of 0.5 in n 2.248 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.248 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.248 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.248 * [taylor]: Taking taylor expansion of k in n 2.248 * [taylor]: Taking taylor expansion of 1.0 in n 2.248 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.248 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.248 * [taylor]: Taking taylor expansion of -2.0 in n 2.248 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.248 * [taylor]: Taking taylor expansion of PI in n 2.248 * [taylor]: Taking taylor expansion of n in n 2.258 * * * [progress]: simplifying candidates 2.260 * [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))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (+ (+ (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)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 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2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (/ +nan.0 k) k)) (- (- (/ +nan.0 k) +nan.0) (/ (/ +nan.0 k) k)) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* PI n) 2.0) 0.5)) (* (pow (log n) 2) (pow (* (* PI n) 2.0) 0.5)))) (- (+ (* (* 0.25 (pow k 2)) (* (pow (* (* PI n) 2.0) 0.5) (* (log (* 2.0 PI)) (log n)))) (pow (* (* PI n) 2.0) 0.5)) (* (* 0.5 k) (+ (* (log (* 2.0 PI)) (pow (* (* PI n) 2.0) 0.5)) (* (log n) (pow (* (* PI n) 2.0) 0.5)))))) (pow (pow (* (* PI n) 2.0) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* PI n) 2.0) (* (* PI n) 2.0) (* (* PI n) 2.0) (- (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (- (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))) (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (- (/ (pow (pow (* (* PI n) 2.0) 0.5) (- 1.0 k)) k) (/ (pow (pow (* (* PI n) 2.0) 0.5) (- 1.0 k)) (pow k 2)))) (/ (* +nan.0 (pow (pow (* (* PI n) 2.0) 0.5) (- 1.0 k))) (pow k 3))) (- (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) 3.232 * * * [progress]: adding candidates to table 3.637 * * [progress]: iteration 2 / 4 3.637 * * * [progress]: picking best candidate 3.672 * * * * [pick]: Picked # 3.672 * * * [progress]: localizing error 3.688 * * * [progress]: generating rewritten candidates 3.688 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 3.691 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 3.694 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 3.703 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 3.716 * * * [progress]: generating series expansions 3.716 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 3.716 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.716 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.716 * [taylor]: Taking taylor expansion of 1.0 in k 3.716 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.716 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.716 * [taylor]: Taking taylor expansion of k in k 3.718 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.718 * [taylor]: Taking taylor expansion of 1.0 in k 3.718 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.718 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.718 * [taylor]: Taking taylor expansion of k in k 3.730 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.730 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.730 * [taylor]: Taking taylor expansion of 1.0 in k 3.730 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.730 * [taylor]: Taking taylor expansion of k in k 3.731 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.731 * [taylor]: Taking taylor expansion of 1.0 in k 3.731 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.731 * [taylor]: Taking taylor expansion of k in k 3.741 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.741 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.742 * [taylor]: Taking taylor expansion of 1.0 in k 3.742 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.742 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.742 * [taylor]: Taking taylor expansion of -1 in k 3.742 * [taylor]: Taking taylor expansion of k in k 3.743 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.743 * [taylor]: Taking taylor expansion of 1.0 in k 3.743 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.744 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.744 * [taylor]: Taking taylor expansion of -1 in k 3.744 * [taylor]: Taking taylor expansion of k in k 3.756 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 3.756 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.756 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.756 * [taylor]: Taking taylor expansion of 1.0 in k 3.756 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.756 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.756 * [taylor]: Taking taylor expansion of k in k 3.757 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.757 * [taylor]: Taking taylor expansion of 1.0 in k 3.757 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.757 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.757 * [taylor]: Taking taylor expansion of k in k 3.769 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.769 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.769 * [taylor]: Taking taylor expansion of 1.0 in k 3.769 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.769 * [taylor]: Taking taylor expansion of k in k 3.770 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.770 * [taylor]: Taking taylor expansion of 1.0 in k 3.770 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.770 * [taylor]: Taking taylor expansion of k in k 3.781 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.781 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.781 * [taylor]: Taking taylor expansion of 1.0 in k 3.781 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.781 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.781 * [taylor]: Taking taylor expansion of -1 in k 3.781 * [taylor]: Taking taylor expansion of k in k 3.782 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.782 * [taylor]: Taking taylor expansion of 1.0 in k 3.782 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.782 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.782 * [taylor]: Taking taylor expansion of -1 in k 3.782 * [taylor]: Taking taylor expansion of k in k 3.794 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 3.795 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.795 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.795 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.795 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.795 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.795 * [taylor]: Taking taylor expansion of 0.5 in k 3.795 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.795 * [taylor]: Taking taylor expansion of 1.0 in k 3.795 * [taylor]: Taking taylor expansion of k in k 3.795 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.795 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.795 * [taylor]: Taking taylor expansion of 2.0 in k 3.795 * [taylor]: Taking taylor expansion of (* n PI) in k 3.795 * [taylor]: Taking taylor expansion of n in k 3.795 * [taylor]: Taking taylor expansion of PI in k 3.796 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.796 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.796 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.796 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.796 * [taylor]: Taking taylor expansion of 0.5 in n 3.796 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.796 * [taylor]: Taking taylor expansion of 1.0 in n 3.796 * [taylor]: Taking taylor expansion of k in n 3.796 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.796 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.796 * [taylor]: Taking taylor expansion of 2.0 in n 3.796 * [taylor]: Taking taylor expansion of (* n PI) in n 3.796 * [taylor]: Taking taylor expansion of n in n 3.796 * [taylor]: Taking taylor expansion of PI in n 3.805 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.805 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.805 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.805 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.805 * [taylor]: Taking taylor expansion of 0.5 in n 3.805 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.805 * [taylor]: Taking taylor expansion of 1.0 in n 3.805 * [taylor]: Taking taylor expansion of k in n 3.805 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.805 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.805 * [taylor]: Taking taylor expansion of 2.0 in n 3.805 * [taylor]: Taking taylor expansion of (* n PI) in n 3.805 * [taylor]: Taking taylor expansion of n in n 3.805 * [taylor]: Taking taylor expansion of PI in n 3.811 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.811 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.811 * [taylor]: Taking taylor expansion of 0.5 in k 3.811 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.811 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.811 * [taylor]: Taking taylor expansion of 1.0 in k 3.811 * [taylor]: Taking taylor expansion of k in k 3.811 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.811 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.811 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.811 * [taylor]: Taking taylor expansion of 2.0 in k 3.811 * [taylor]: Taking taylor expansion of PI in k 3.812 * [taylor]: Taking taylor expansion of (log n) in k 3.812 * [taylor]: Taking taylor expansion of n in k 3.822 * [taylor]: Taking taylor expansion of 0 in k 3.838 * [taylor]: Taking taylor expansion of 0 in k 3.857 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.857 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.857 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.857 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.857 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.857 * [taylor]: Taking taylor expansion of 0.5 in k 3.857 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.857 * [taylor]: Taking taylor expansion of 1.0 in k 3.857 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.857 * [taylor]: Taking taylor expansion of k in k 3.857 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.857 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.857 * [taylor]: Taking taylor expansion of 2.0 in k 3.857 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.857 * [taylor]: Taking taylor expansion of PI in k 3.857 * [taylor]: Taking taylor expansion of n in k 3.858 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.859 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.859 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.859 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.859 * [taylor]: Taking taylor expansion of 0.5 in n 3.859 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.859 * [taylor]: Taking taylor expansion of 1.0 in n 3.859 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.859 * [taylor]: Taking taylor expansion of k in n 3.859 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.859 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.859 * [taylor]: Taking taylor expansion of 2.0 in n 3.859 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.859 * [taylor]: Taking taylor expansion of PI in n 3.859 * [taylor]: Taking taylor expansion of n in n 3.862 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.863 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.863 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.863 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.863 * [taylor]: Taking taylor expansion of 0.5 in n 3.863 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.863 * [taylor]: Taking taylor expansion of 1.0 in n 3.863 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.863 * [taylor]: Taking taylor expansion of k in n 3.863 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.863 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.863 * [taylor]: Taking taylor expansion of 2.0 in n 3.863 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.863 * [taylor]: Taking taylor expansion of PI in n 3.863 * [taylor]: Taking taylor expansion of n in n 3.867 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.867 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.867 * [taylor]: Taking taylor expansion of 0.5 in k 3.867 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.867 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.867 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.867 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.867 * [taylor]: Taking taylor expansion of 2.0 in k 3.867 * [taylor]: Taking taylor expansion of PI in k 3.868 * [taylor]: Taking taylor expansion of (log n) in k 3.868 * [taylor]: Taking taylor expansion of n in k 3.868 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.868 * [taylor]: Taking taylor expansion of 1.0 in k 3.868 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.868 * [taylor]: Taking taylor expansion of k in k 3.878 * [taylor]: Taking taylor expansion of 0 in k 3.885 * [taylor]: Taking taylor expansion of 0 in k 3.898 * [taylor]: Taking taylor expansion of 0 in k 3.899 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.899 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.899 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.899 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.899 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.899 * [taylor]: Taking taylor expansion of 0.5 in k 3.899 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.899 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.899 * [taylor]: Taking taylor expansion of k in k 3.900 * [taylor]: Taking taylor expansion of 1.0 in k 3.900 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.900 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.900 * [taylor]: Taking taylor expansion of -2.0 in k 3.900 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.900 * [taylor]: Taking taylor expansion of PI in k 3.900 * [taylor]: Taking taylor expansion of n in k 3.901 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.901 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.901 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.901 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.901 * [taylor]: Taking taylor expansion of 0.5 in n 3.901 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.901 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.901 * [taylor]: Taking taylor expansion of k in n 3.901 * [taylor]: Taking taylor expansion of 1.0 in n 3.901 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.901 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.901 * [taylor]: Taking taylor expansion of -2.0 in n 3.901 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.901 * [taylor]: Taking taylor expansion of PI in n 3.901 * [taylor]: Taking taylor expansion of n in n 3.905 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.905 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.905 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.905 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.905 * [taylor]: Taking taylor expansion of 0.5 in n 3.905 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.905 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.905 * [taylor]: Taking taylor expansion of k in n 3.905 * [taylor]: Taking taylor expansion of 1.0 in n 3.905 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.905 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.905 * [taylor]: Taking taylor expansion of -2.0 in n 3.905 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.905 * [taylor]: Taking taylor expansion of PI in n 3.905 * [taylor]: Taking taylor expansion of n in n 3.909 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.909 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.909 * [taylor]: Taking taylor expansion of 0.5 in k 3.909 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.909 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.909 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.909 * [taylor]: Taking taylor expansion of k in k 3.909 * [taylor]: Taking taylor expansion of 1.0 in k 3.909 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.909 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.909 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.909 * [taylor]: Taking taylor expansion of -2.0 in k 3.909 * [taylor]: Taking taylor expansion of PI in k 3.910 * [taylor]: Taking taylor expansion of (log n) in k 3.910 * [taylor]: Taking taylor expansion of n in k 3.919 * [taylor]: Taking taylor expansion of 0 in k 3.927 * [taylor]: Taking taylor expansion of 0 in k 3.936 * [taylor]: Taking taylor expansion of 0 in k 3.937 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 3.937 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.937 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.937 * [taylor]: Taking taylor expansion of 2.0 in n 3.938 * [taylor]: Taking taylor expansion of (* n PI) in n 3.938 * [taylor]: Taking taylor expansion of n in n 3.938 * [taylor]: Taking taylor expansion of PI in n 3.938 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.938 * [taylor]: Taking taylor expansion of 2.0 in n 3.938 * [taylor]: Taking taylor expansion of (* n PI) in n 3.938 * [taylor]: Taking taylor expansion of n in n 3.938 * [taylor]: Taking taylor expansion of PI in n 3.950 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.950 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.950 * [taylor]: Taking taylor expansion of 2.0 in n 3.950 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.950 * [taylor]: Taking taylor expansion of PI in n 3.950 * [taylor]: Taking taylor expansion of n in n 3.951 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.951 * [taylor]: Taking taylor expansion of 2.0 in n 3.951 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.951 * [taylor]: Taking taylor expansion of PI in n 3.951 * [taylor]: Taking taylor expansion of n in n 3.960 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.960 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.960 * [taylor]: Taking taylor expansion of -2.0 in n 3.960 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.960 * [taylor]: Taking taylor expansion of PI in n 3.960 * [taylor]: Taking taylor expansion of n in n 3.960 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.960 * [taylor]: Taking taylor expansion of -2.0 in n 3.960 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.960 * [taylor]: Taking taylor expansion of PI in n 3.960 * [taylor]: Taking taylor expansion of n in n 3.969 * * * [progress]: simplifying candidates 3.974 * [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))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (+ (+ (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)) (* (* 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) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 3.982 * * [simplify]: iteration 0 : 234 enodes (cost 1642 ) 4.020 * * [simplify]: iteration 1 : 573 enodes (cost 1523 ) 4.136 * * [simplify]: iteration 2 : 1924 enodes (cost 1409 ) 4.574 * * [simplify]: iteration done : 5000 enodes (cost 1399 ) 4.575 * [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))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 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) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (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))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 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) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* n PI) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (/ +nan.0 k) k)) (- (- (/ +nan.0 k) +nan.0) (/ (/ +nan.0 k) k)) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (/ +nan.0 k) k)) (- (- (/ +nan.0 k) +nan.0) (/ (/ +nan.0 k) k)) (- (+ (+ (* (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n))) (pow (* (* 2.0 PI) n) 0.5)) (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (log n) 2) (pow (* (* 2.0 PI) n) 0.5))))) (* (* 0.5 k) (+ (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (* (* 2.0 PI) n) 0.5) (log n))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 4.576 * * * [progress]: adding candidates to table 5.009 * * [progress]: iteration 3 / 4 5.009 * * * [progress]: picking best candidate 5.050 * * * * [pick]: Picked # 5.050 * * * [progress]: localizing error 5.065 * * * [progress]: generating rewritten candidates 5.065 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.083 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 5.087 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 5.097 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 5.134 * * * [progress]: generating series expansions 5.134 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.134 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.134 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.134 * [taylor]: Taking taylor expansion of 1.0 in k 5.134 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.134 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.134 * [taylor]: Taking taylor expansion of k in k 5.136 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.136 * [taylor]: Taking taylor expansion of 1.0 in k 5.136 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.136 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.136 * [taylor]: Taking taylor expansion of k in k 5.148 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.149 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.149 * [taylor]: Taking taylor expansion of 1.0 in k 5.149 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.149 * [taylor]: Taking taylor expansion of k in k 5.150 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.150 * [taylor]: Taking taylor expansion of 1.0 in k 5.150 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.150 * [taylor]: Taking taylor expansion of k in k 5.160 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.160 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.160 * [taylor]: Taking taylor expansion of 1.0 in k 5.160 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.160 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.160 * [taylor]: Taking taylor expansion of -1 in k 5.160 * [taylor]: Taking taylor expansion of k in k 5.162 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.162 * [taylor]: Taking taylor expansion of 1.0 in k 5.162 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.162 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.162 * [taylor]: Taking taylor expansion of -1 in k 5.162 * [taylor]: Taking taylor expansion of k in k 5.181 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 5.181 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 5.181 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 5.181 * [taylor]: Taking taylor expansion of 1.0 in k 5.181 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 5.181 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 5.181 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 5.181 * [taylor]: Taking taylor expansion of 1/4 in k 5.181 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 5.181 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.181 * [taylor]: Taking taylor expansion of k in k 5.182 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 5.182 * [taylor]: Taking taylor expansion of 1.0 in k 5.182 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 5.182 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 5.182 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 5.182 * [taylor]: Taking taylor expansion of 1/4 in k 5.182 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 5.182 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.182 * [taylor]: Taking taylor expansion of k in k 5.241 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 5.242 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 5.242 * [taylor]: Taking taylor expansion of 1.0 in k 5.242 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 5.242 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 5.242 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 5.242 * [taylor]: Taking taylor expansion of 1/4 in k 5.242 * [taylor]: Taking taylor expansion of (log k) in k 5.242 * [taylor]: Taking taylor expansion of k in k 5.242 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 5.242 * [taylor]: Taking taylor expansion of 1.0 in k 5.242 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 5.242 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 5.242 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 5.242 * [taylor]: Taking taylor expansion of 1/4 in k 5.242 * [taylor]: Taking taylor expansion of (log k) in k 5.242 * [taylor]: Taking taylor expansion of k in k 5.300 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 5.301 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 5.301 * [taylor]: Taking taylor expansion of 1.0 in k 5.301 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 5.301 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.301 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.301 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.301 * [taylor]: Taking taylor expansion of -1 in k 5.301 * [taylor]: Taking taylor expansion of k in k 5.307 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 5.307 * [taylor]: Taking taylor expansion of 1.0 in k 5.307 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 5.307 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.307 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.308 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.308 * [taylor]: Taking taylor expansion of -1 in k 5.308 * [taylor]: Taking taylor expansion of k in k 5.349 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 5.350 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 5.350 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 5.350 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.350 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.350 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.350 * [taylor]: Taking taylor expansion of 0.5 in k 5.350 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.350 * [taylor]: Taking taylor expansion of 1.0 in k 5.350 * [taylor]: Taking taylor expansion of k in k 5.350 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.350 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.350 * [taylor]: Taking taylor expansion of 2.0 in k 5.350 * [taylor]: Taking taylor expansion of (* n PI) in k 5.350 * [taylor]: Taking taylor expansion of n in k 5.350 * [taylor]: Taking taylor expansion of PI in k 5.351 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.351 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.351 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.351 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.351 * [taylor]: Taking taylor expansion of 0.5 in n 5.351 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.351 * [taylor]: Taking taylor expansion of 1.0 in n 5.351 * [taylor]: Taking taylor expansion of k in n 5.351 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.351 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.351 * [taylor]: Taking taylor expansion of 2.0 in n 5.352 * [taylor]: Taking taylor expansion of (* n PI) in n 5.352 * [taylor]: Taking taylor expansion of n in n 5.352 * [taylor]: Taking taylor expansion of PI in n 5.357 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.357 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.357 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.357 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.357 * [taylor]: Taking taylor expansion of 0.5 in n 5.357 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.357 * [taylor]: Taking taylor expansion of 1.0 in n 5.357 * [taylor]: Taking taylor expansion of k in n 5.357 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.357 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.357 * [taylor]: Taking taylor expansion of 2.0 in n 5.357 * [taylor]: Taking taylor expansion of (* n PI) in n 5.357 * [taylor]: Taking taylor expansion of n in n 5.357 * [taylor]: Taking taylor expansion of PI in n 5.363 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.363 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.363 * [taylor]: Taking taylor expansion of 0.5 in k 5.363 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.363 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.363 * [taylor]: Taking taylor expansion of 1.0 in k 5.363 * [taylor]: Taking taylor expansion of k in k 5.363 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.363 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.363 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.363 * [taylor]: Taking taylor expansion of 2.0 in k 5.363 * [taylor]: Taking taylor expansion of PI in k 5.364 * [taylor]: Taking taylor expansion of (log n) in k 5.364 * [taylor]: Taking taylor expansion of n in k 5.374 * [taylor]: Taking taylor expansion of 0 in k 5.391 * [taylor]: Taking taylor expansion of 0 in k 5.410 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 5.410 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.410 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.410 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.410 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.410 * [taylor]: Taking taylor expansion of 0.5 in k 5.410 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.410 * [taylor]: Taking taylor expansion of 1.0 in k 5.410 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.410 * [taylor]: Taking taylor expansion of k in k 5.411 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.411 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.411 * [taylor]: Taking taylor expansion of 2.0 in k 5.411 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.411 * [taylor]: Taking taylor expansion of PI in k 5.411 * [taylor]: Taking taylor expansion of n in k 5.412 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.412 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.412 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.412 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.412 * [taylor]: Taking taylor expansion of 0.5 in n 5.412 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.412 * [taylor]: Taking taylor expansion of 1.0 in n 5.412 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.412 * [taylor]: Taking taylor expansion of k in n 5.412 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.412 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.412 * [taylor]: Taking taylor expansion of 2.0 in n 5.412 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.412 * [taylor]: Taking taylor expansion of PI in n 5.412 * [taylor]: Taking taylor expansion of n in n 5.416 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.416 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.416 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.416 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.416 * [taylor]: Taking taylor expansion of 0.5 in n 5.416 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.416 * [taylor]: Taking taylor expansion of 1.0 in n 5.416 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.416 * [taylor]: Taking taylor expansion of k in n 5.416 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.416 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.416 * [taylor]: Taking taylor expansion of 2.0 in n 5.416 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.416 * [taylor]: Taking taylor expansion of PI in n 5.416 * [taylor]: Taking taylor expansion of n in n 5.423 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.423 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.423 * [taylor]: Taking taylor expansion of 0.5 in k 5.424 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.424 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.424 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.424 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.424 * [taylor]: Taking taylor expansion of 2.0 in k 5.424 * [taylor]: Taking taylor expansion of PI in k 5.425 * [taylor]: Taking taylor expansion of (log n) in k 5.425 * [taylor]: Taking taylor expansion of n in k 5.425 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.425 * [taylor]: Taking taylor expansion of 1.0 in k 5.425 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.425 * [taylor]: Taking taylor expansion of k in k 5.435 * [taylor]: Taking taylor expansion of 0 in k 5.443 * [taylor]: Taking taylor expansion of 0 in k 5.452 * [taylor]: Taking taylor expansion of 0 in k 5.453 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 5.453 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.453 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.453 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.453 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.453 * [taylor]: Taking taylor expansion of 0.5 in k 5.453 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.453 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.453 * [taylor]: Taking taylor expansion of k in k 5.454 * [taylor]: Taking taylor expansion of 1.0 in k 5.454 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.454 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.454 * [taylor]: Taking taylor expansion of -2.0 in k 5.454 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.454 * [taylor]: Taking taylor expansion of PI in k 5.454 * [taylor]: Taking taylor expansion of n in k 5.455 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.455 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.455 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.455 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.455 * [taylor]: Taking taylor expansion of 0.5 in n 5.455 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.455 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.455 * [taylor]: Taking taylor expansion of k in n 5.455 * [taylor]: Taking taylor expansion of 1.0 in n 5.455 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.455 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.455 * [taylor]: Taking taylor expansion of -2.0 in n 5.455 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.455 * [taylor]: Taking taylor expansion of PI in n 5.455 * [taylor]: Taking taylor expansion of n in n 5.459 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.459 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.459 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.459 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.459 * [taylor]: Taking taylor expansion of 0.5 in n 5.459 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.459 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.459 * [taylor]: Taking taylor expansion of k in n 5.459 * [taylor]: Taking taylor expansion of 1.0 in n 5.459 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.459 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.459 * [taylor]: Taking taylor expansion of -2.0 in n 5.459 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.459 * [taylor]: Taking taylor expansion of PI in n 5.459 * [taylor]: Taking taylor expansion of n in n 5.463 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.463 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.463 * [taylor]: Taking taylor expansion of 0.5 in k 5.463 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.463 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.463 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.463 * [taylor]: Taking taylor expansion of k in k 5.464 * [taylor]: Taking taylor expansion of 1.0 in k 5.464 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.464 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.464 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.464 * [taylor]: Taking taylor expansion of -2.0 in k 5.464 * [taylor]: Taking taylor expansion of PI in k 5.465 * [taylor]: Taking taylor expansion of (log n) in k 5.465 * [taylor]: Taking taylor expansion of n in k 5.474 * [taylor]: Taking taylor expansion of 0 in k 5.481 * [taylor]: Taking taylor expansion of 0 in k 5.490 * [taylor]: Taking taylor expansion of 0 in k 5.491 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 5.492 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.492 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.492 * [taylor]: Taking taylor expansion of 2.0 in n 5.492 * [taylor]: Taking taylor expansion of (* n PI) in n 5.492 * [taylor]: Taking taylor expansion of n in n 5.492 * [taylor]: Taking taylor expansion of PI in n 5.492 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.492 * [taylor]: Taking taylor expansion of 2.0 in n 5.492 * [taylor]: Taking taylor expansion of (* n PI) in n 5.492 * [taylor]: Taking taylor expansion of n in n 5.492 * [taylor]: Taking taylor expansion of PI in n 5.505 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.505 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.505 * [taylor]: Taking taylor expansion of 2.0 in n 5.505 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.505 * [taylor]: Taking taylor expansion of PI in n 5.505 * [taylor]: Taking taylor expansion of n in n 5.505 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.505 * [taylor]: Taking taylor expansion of 2.0 in n 5.505 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.505 * [taylor]: Taking taylor expansion of PI in n 5.506 * [taylor]: Taking taylor expansion of n in n 5.518 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.518 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.518 * [taylor]: Taking taylor expansion of -2.0 in n 5.518 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.518 * [taylor]: Taking taylor expansion of PI in n 5.518 * [taylor]: Taking taylor expansion of n in n 5.518 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.519 * [taylor]: Taking taylor expansion of -2.0 in n 5.519 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.519 * [taylor]: Taking taylor expansion of PI in n 5.519 * [taylor]: Taking taylor expansion of n in n 5.527 * * * [progress]: simplifying candidates 5.535 * [simplify]: Simplifying using # : (- (- (log 1.0) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (log (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (exp (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (- (/ 1.0 (sqrt (sqrt k)))) (- (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt 1)) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) 1) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt 1)) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) 1) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 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(- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 5.571 * * [simplify]: iteration 0 : 558 enodes (cost 8953 ) 5.671 * * [simplify]: iteration 1 : 1346 enodes (cost 7944 ) 5.930 * * [simplify]: iteration 2 : 4263 enodes (cost 7227 ) 6.755 * * [simplify]: iteration done : 5000 enodes (cost 7227 ) 6.759 * [simplify]: Simplified to: (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (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))) (- (/ 1.0 (sqrt (sqrt k)))) (- (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt 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(/ +nan.0 (pow k 2))) (- (/ +nan.0 k) +nan.0)) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (* 1.0 (sqrt +nan.0)) (+ (- (/ +nan.0 (* (sqrt +nan.0) (pow k 2))) (/ +nan.0 (* (sqrt +nan.0) k))) (/ (/ +nan.0 (pow k 2)) (pow (sqrt +nan.0) 3)))) (- (+ (+ (* (* (* (pow (* (* PI n) 2.0) 0.5) (log n)) (* (pow k 2) (log (* 2.0 PI)))) 0.25) (pow (* (* PI n) 2.0) 0.5)) (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* PI n) 2.0) 0.5)) (* (pow (log n) 2) (pow (* (* PI n) 2.0) 0.5))))) (* (* 0.5 k) (+ (* (pow (* (* PI n) 2.0) 0.5) (log n)) (* (pow (* (* PI n) 2.0) 0.5) (log (* 2.0 PI)))))) (pow (pow (* (* PI n) 2.0) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* PI n) 2.0) (* (* PI n) 2.0) (* (* PI n) 2.0) 6.763 * * * [progress]: adding candidates to table 7.609 * * [progress]: iteration 4 / 4 7.609 * * * [progress]: picking best candidate 7.646 * * * * [pick]: Picked # 7.646 * * * [progress]: localizing error 7.664 * * * [progress]: generating rewritten candidates 7.664 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 7.668 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 7.670 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 7.725 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 7.741 * * * [progress]: generating series expansions 7.741 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 7.741 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 7.741 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 7.741 * [taylor]: Taking taylor expansion of 1.0 in k 7.741 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.741 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.741 * [taylor]: Taking taylor expansion of k in k 7.746 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 7.746 * [taylor]: Taking taylor expansion of 1.0 in k 7.746 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.746 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.746 * [taylor]: Taking taylor expansion of k in k 7.758 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 7.758 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 7.758 * [taylor]: Taking taylor expansion of 1.0 in k 7.758 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.758 * [taylor]: Taking taylor expansion of k in k 7.759 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 7.759 * [taylor]: Taking taylor expansion of 1.0 in k 7.759 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.759 * [taylor]: Taking taylor expansion of k in k 7.769 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 7.769 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 7.769 * [taylor]: Taking taylor expansion of 1.0 in k 7.769 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.769 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.769 * [taylor]: Taking taylor expansion of -1 in k 7.769 * [taylor]: Taking taylor expansion of k in k 7.771 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 7.771 * [taylor]: Taking taylor expansion of 1.0 in k 7.771 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.771 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.771 * [taylor]: Taking taylor expansion of -1 in k 7.771 * [taylor]: Taking taylor expansion of k in k 7.783 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 7.783 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 7.783 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 7.783 * [taylor]: Taking taylor expansion of 1.0 in k 7.783 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.783 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.783 * [taylor]: Taking taylor expansion of k in k 7.785 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 7.785 * [taylor]: Taking taylor expansion of 1.0 in k 7.785 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.785 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.785 * [taylor]: Taking taylor expansion of k in k 7.796 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 7.796 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 7.796 * [taylor]: Taking taylor expansion of 1.0 in k 7.796 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.796 * [taylor]: Taking taylor expansion of k in k 7.797 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 7.797 * [taylor]: Taking taylor expansion of 1.0 in k 7.797 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.797 * [taylor]: Taking taylor expansion of k in k 7.808 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 7.808 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 7.808 * [taylor]: Taking taylor expansion of 1.0 in k 7.808 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.808 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.808 * [taylor]: Taking taylor expansion of -1 in k 7.808 * [taylor]: Taking taylor expansion of k in k 7.810 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 7.810 * [taylor]: Taking taylor expansion of 1.0 in k 7.810 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.810 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.810 * [taylor]: Taking taylor expansion of -1 in k 7.810 * [taylor]: Taking taylor expansion of k in k 7.822 * * * * [progress]: [ 3 / 4 ] generating series at (2) 7.823 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2))) in (k n) around 0 7.823 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2))) in n 7.823 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 7.823 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.823 * [taylor]: Taking taylor expansion of k in n 7.823 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2)) in n 7.823 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 7.823 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 7.823 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 7.823 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.823 * [taylor]: Taking taylor expansion of 0.5 in n 7.823 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.824 * [taylor]: Taking taylor expansion of 1.0 in n 7.824 * [taylor]: Taking taylor expansion of k in n 7.824 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.824 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.824 * [taylor]: Taking taylor expansion of 2.0 in n 7.824 * [taylor]: Taking taylor expansion of (* n PI) in n 7.824 * [taylor]: Taking taylor expansion of n in n 7.824 * [taylor]: Taking taylor expansion of PI in n 7.832 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 7.832 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 7.832 * [taylor]: Taking taylor expansion of 1.0 in n 7.833 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2))) in k 7.833 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.833 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.833 * [taylor]: Taking taylor expansion of k in k 7.834 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2)) in k 7.834 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 7.834 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 7.834 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 7.834 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.834 * [taylor]: Taking taylor expansion of 0.5 in k 7.834 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.834 * [taylor]: Taking taylor expansion of 1.0 in k 7.834 * [taylor]: Taking taylor expansion of k in k 7.835 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 7.835 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 7.835 * [taylor]: Taking taylor expansion of 2.0 in k 7.835 * [taylor]: Taking taylor expansion of (* n PI) in k 7.835 * [taylor]: Taking taylor expansion of n in k 7.835 * [taylor]: Taking taylor expansion of PI in k 7.836 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 7.836 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 7.836 * [taylor]: Taking taylor expansion of 1.0 in k 7.836 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2))) in k 7.836 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.836 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.836 * [taylor]: Taking taylor expansion of k in k 7.838 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2)) in k 7.838 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 7.838 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 7.838 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 7.838 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.838 * [taylor]: Taking taylor expansion of 0.5 in k 7.838 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.838 * [taylor]: Taking taylor expansion of 1.0 in k 7.838 * [taylor]: Taking taylor expansion of k in k 7.838 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 7.838 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 7.838 * [taylor]: Taking taylor expansion of 2.0 in k 7.838 * [taylor]: Taking taylor expansion of (* n PI) in k 7.838 * [taylor]: Taking taylor expansion of n in k 7.838 * [taylor]: Taking taylor expansion of PI in k 7.839 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 7.839 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 7.839 * [taylor]: Taking taylor expansion of 1.0 in k 7.842 * [taylor]: Taking taylor expansion of 0 in n 7.851 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)))) in n 7.851 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2))) in n 7.851 * [taylor]: Taking taylor expansion of +nan.0 in n 7.851 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)) in n 7.851 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 7.851 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 7.851 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 7.851 * [taylor]: Taking taylor expansion of 0.5 in n 7.851 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 7.851 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 7.851 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.851 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.851 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.851 * [taylor]: Taking taylor expansion of 1.0 in n 7.851 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.851 * [taylor]: Taking taylor expansion of 2.0 in n 7.853 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 7.853 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 7.853 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 7.853 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 7.853 * [taylor]: Taking taylor expansion of 1.0 in n 7.853 * [taylor]: Taking taylor expansion of (log n) in n 7.853 * [taylor]: Taking taylor expansion of n in n 7.854 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 7.854 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 7.854 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 7.854 * [taylor]: Taking taylor expansion of 1.0 in n 7.854 * [taylor]: Taking taylor expansion of (log PI) in n 7.854 * [taylor]: Taking taylor expansion of PI in n 7.859 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 7.859 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 7.859 * [taylor]: Taking taylor expansion of 1.0 in n 7.882 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)))))) in n 7.883 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2))))) in n 7.883 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 7.883 * [taylor]: Taking taylor expansion of +nan.0 in n 7.883 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 7.883 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) in n 7.883 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.883 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.883 * [taylor]: Taking taylor expansion of 2.0 in n 7.883 * [taylor]: Taking taylor expansion of (* n PI) in n 7.883 * [taylor]: Taking taylor expansion of n in n 7.883 * [taylor]: Taking taylor expansion of PI in n 7.886 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 7.886 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 7.886 * [taylor]: Taking taylor expansion of 1.0 in n 7.887 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 7.887 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 7.887 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 7.887 * [taylor]: Taking taylor expansion of 0.5 in n 7.887 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 7.887 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 7.887 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.887 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.887 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.887 * [taylor]: Taking taylor expansion of 1.0 in n 7.887 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.887 * [taylor]: Taking taylor expansion of 2.0 in n 7.888 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 7.889 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 7.889 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 7.889 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 7.889 * [taylor]: Taking taylor expansion of 1.0 in n 7.889 * [taylor]: Taking taylor expansion of (log n) in n 7.889 * [taylor]: Taking taylor expansion of n in n 7.889 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 7.889 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 7.889 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 7.889 * [taylor]: Taking taylor expansion of 1.0 in n 7.889 * [taylor]: Taking taylor expansion of (log PI) in n 7.889 * [taylor]: Taking taylor expansion of PI in n 7.895 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)))) in n 7.895 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2))) in n 7.895 * [taylor]: Taking taylor expansion of +nan.0 in n 7.895 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)) in n 7.895 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 7.895 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 7.895 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 7.895 * [taylor]: Taking taylor expansion of 0.5 in n 7.895 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 7.895 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 7.895 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.895 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.895 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.895 * [taylor]: Taking taylor expansion of 1.0 in n 7.895 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.895 * [taylor]: Taking taylor expansion of 2.0 in n 7.897 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 7.897 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 7.897 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 7.897 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 7.897 * [taylor]: Taking taylor expansion of 1.0 in n 7.897 * [taylor]: Taking taylor expansion of (log n) in n 7.897 * [taylor]: Taking taylor expansion of n in n 7.898 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 7.898 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 7.898 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 7.898 * [taylor]: Taking taylor expansion of 1.0 in n 7.898 * [taylor]: Taking taylor expansion of (log PI) in n 7.898 * [taylor]: Taking taylor expansion of PI in n 7.903 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 7.903 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 7.903 * [taylor]: Taking taylor expansion of 1.0 in n 7.972 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (pow (log (* 2.0 (* n PI))) 2) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)))))))) in n 7.972 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (pow (log (* 2.0 (* n PI))) 2) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2))))))) in n 7.972 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (pow (log (* 2.0 (* n PI))) 2) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 7.972 * [taylor]: Taking taylor expansion of +nan.0 in n 7.972 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 7.972 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) (pow (sqrt 1.0) 2)) in n 7.972 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 7.972 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.972 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.972 * [taylor]: Taking taylor expansion of 2.0 in n 7.972 * [taylor]: Taking taylor expansion of (* n PI) in n 7.972 * [taylor]: Taking taylor expansion of n in n 7.972 * [taylor]: Taking taylor expansion of PI in n 7.976 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 7.976 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 7.976 * [taylor]: Taking taylor expansion of 1.0 in n 7.977 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 7.977 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 7.977 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 7.977 * [taylor]: Taking taylor expansion of 0.5 in n 7.977 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 7.977 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 7.977 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.977 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.977 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.977 * [taylor]: Taking taylor expansion of 1.0 in n 7.977 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.977 * [taylor]: Taking taylor expansion of 2.0 in n 7.979 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 7.979 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 7.979 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 7.979 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 7.979 * [taylor]: Taking taylor expansion of 1.0 in n 7.979 * [taylor]: Taking taylor expansion of (log n) in n 7.979 * [taylor]: Taking taylor expansion of n in n 7.980 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 7.980 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 7.980 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 7.980 * [taylor]: Taking taylor expansion of 1.0 in n 7.980 * [taylor]: Taking taylor expansion of (log PI) in n 7.980 * [taylor]: Taking taylor expansion of PI in n 7.985 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)))))) in n 7.985 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2))))) in n 7.985 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 7.985 * [taylor]: Taking taylor expansion of +nan.0 in n 7.985 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 7.985 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) in n 7.985 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.985 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.985 * [taylor]: Taking taylor expansion of 2.0 in n 7.985 * [taylor]: Taking taylor expansion of (* n PI) in n 7.985 * [taylor]: Taking taylor expansion of n in n 7.985 * [taylor]: Taking taylor expansion of PI in n 7.988 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 7.989 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 7.989 * [taylor]: Taking taylor expansion of 1.0 in n 7.989 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 7.989 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 7.989 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 7.989 * [taylor]: Taking taylor expansion of 0.5 in n 7.989 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 7.989 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 7.989 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.989 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.989 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.989 * [taylor]: Taking taylor expansion of 1.0 in n 7.989 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.989 * [taylor]: Taking taylor expansion of 2.0 in n 7.991 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 7.991 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 7.991 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 7.991 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 7.991 * [taylor]: Taking taylor expansion of 1.0 in n 7.991 * [taylor]: Taking taylor expansion of (log n) in n 7.991 * [taylor]: Taking taylor expansion of n in n 7.992 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 7.992 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 7.992 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 7.992 * [taylor]: Taking taylor expansion of 1.0 in n 7.992 * [taylor]: Taking taylor expansion of (log PI) in n 7.992 * [taylor]: Taking taylor expansion of PI in n 7.997 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)))) in n 7.998 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2))) in n 7.998 * [taylor]: Taking taylor expansion of +nan.0 in n 7.998 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)) in n 7.998 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 7.998 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 7.998 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 7.998 * [taylor]: Taking taylor expansion of 0.5 in n 7.998 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 7.998 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 7.998 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.998 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.998 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.998 * [taylor]: Taking taylor expansion of 1.0 in n 7.998 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.998 * [taylor]: Taking taylor expansion of 2.0 in n 8.000 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.000 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.000 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.000 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.000 * [taylor]: Taking taylor expansion of 1.0 in n 8.000 * [taylor]: Taking taylor expansion of (log n) in n 8.000 * [taylor]: Taking taylor expansion of n in n 8.000 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.000 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.000 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.000 * [taylor]: Taking taylor expansion of 1.0 in n 8.000 * [taylor]: Taking taylor expansion of (log PI) in n 8.000 * [taylor]: Taking taylor expansion of PI in n 8.006 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.006 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.006 * [taylor]: Taking taylor expansion of 1.0 in n 8.112 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 8.113 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 8.113 * [taylor]: Taking taylor expansion of (sqrt k) in n 8.113 * [taylor]: Taking taylor expansion of k in n 8.113 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 8.113 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.113 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.113 * [taylor]: Taking taylor expansion of 1.0 in n 8.113 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.113 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.113 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.113 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.113 * [taylor]: Taking taylor expansion of 0.5 in n 8.114 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.114 * [taylor]: Taking taylor expansion of 1.0 in n 8.114 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.114 * [taylor]: Taking taylor expansion of k in n 8.114 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.114 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.114 * [taylor]: Taking taylor expansion of 2.0 in n 8.114 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.114 * [taylor]: Taking taylor expansion of PI in n 8.114 * [taylor]: Taking taylor expansion of n in n 8.117 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.117 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.117 * [taylor]: Taking taylor expansion of k in k 8.119 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.119 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.119 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.119 * [taylor]: Taking taylor expansion of 1.0 in k 8.119 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.120 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.120 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.120 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.120 * [taylor]: Taking taylor expansion of 0.5 in k 8.120 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.120 * [taylor]: Taking taylor expansion of 1.0 in k 8.120 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.120 * [taylor]: Taking taylor expansion of k in k 8.120 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.120 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.120 * [taylor]: Taking taylor expansion of 2.0 in k 8.120 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.120 * [taylor]: Taking taylor expansion of PI in k 8.120 * [taylor]: Taking taylor expansion of n in k 8.121 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.121 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.121 * [taylor]: Taking taylor expansion of k in k 8.122 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.122 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.122 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.122 * [taylor]: Taking taylor expansion of 1.0 in k 8.123 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.123 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.123 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.123 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.123 * [taylor]: Taking taylor expansion of 0.5 in k 8.123 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.123 * [taylor]: Taking taylor expansion of 1.0 in k 8.123 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.123 * [taylor]: Taking taylor expansion of k in k 8.123 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.123 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.123 * [taylor]: Taking taylor expansion of 2.0 in k 8.123 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.123 * [taylor]: Taking taylor expansion of PI in k 8.123 * [taylor]: Taking taylor expansion of n in k 8.127 * [taylor]: Taking taylor expansion of 0 in n 8.129 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 8.129 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 8.129 * [taylor]: Taking taylor expansion of +nan.0 in n 8.129 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 8.129 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.129 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.129 * [taylor]: Taking taylor expansion of 1.0 in n 8.130 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 8.130 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 8.130 * [taylor]: Taking taylor expansion of 0.5 in n 8.130 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 8.130 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.130 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.130 * [taylor]: Taking taylor expansion of 2.0 in n 8.130 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.130 * [taylor]: Taking taylor expansion of PI in n 8.130 * [taylor]: Taking taylor expansion of n in n 8.131 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.131 * [taylor]: Taking taylor expansion of 1.0 in n 8.131 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.131 * [taylor]: Taking taylor expansion of k in n 8.146 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 8.146 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 8.146 * [taylor]: Taking taylor expansion of +nan.0 in n 8.146 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 8.146 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.146 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.146 * [taylor]: Taking taylor expansion of 1.0 in n 8.147 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 8.147 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 8.147 * [taylor]: Taking taylor expansion of 0.5 in n 8.147 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 8.147 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.147 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.147 * [taylor]: Taking taylor expansion of 2.0 in n 8.147 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.147 * [taylor]: Taking taylor expansion of PI in n 8.147 * [taylor]: Taking taylor expansion of n in n 8.148 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.148 * [taylor]: Taking taylor expansion of 1.0 in n 8.148 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.148 * [taylor]: Taking taylor expansion of k in n 8.175 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 8.175 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 8.175 * [taylor]: Taking taylor expansion of +nan.0 in n 8.175 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 8.175 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.175 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.175 * [taylor]: Taking taylor expansion of 1.0 in n 8.176 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 8.176 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 8.176 * [taylor]: Taking taylor expansion of 0.5 in n 8.176 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 8.176 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.176 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.176 * [taylor]: Taking taylor expansion of 2.0 in n 8.176 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.176 * [taylor]: Taking taylor expansion of PI in n 8.176 * [taylor]: Taking taylor expansion of n in n 8.177 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.177 * [taylor]: Taking taylor expansion of 1.0 in n 8.177 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.177 * [taylor]: Taking taylor expansion of k in n 8.196 * [approximate]: Taking taylor expansion of (/ (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in (k n) around 0 8.196 * [taylor]: Taking taylor expansion of (/ (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in n 8.196 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) in n 8.196 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.196 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.196 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.196 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.196 * [taylor]: Taking taylor expansion of 0.5 in n 8.196 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.196 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.196 * [taylor]: Taking taylor expansion of k in n 8.196 * [taylor]: Taking taylor expansion of 1.0 in n 8.196 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.196 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.196 * [taylor]: Taking taylor expansion of -2.0 in n 8.196 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.196 * [taylor]: Taking taylor expansion of PI in n 8.196 * [taylor]: Taking taylor expansion of n in n 8.200 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.200 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.200 * [taylor]: Taking taylor expansion of 1.0 in n 8.200 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 8.200 * [taylor]: Taking taylor expansion of (/ -1 k) in n 8.201 * [taylor]: Taking taylor expansion of -1 in n 8.201 * [taylor]: Taking taylor expansion of k in n 8.204 * [taylor]: Taking taylor expansion of (/ (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in k 8.204 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) in k 8.204 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.204 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.204 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.204 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.204 * [taylor]: Taking taylor expansion of 0.5 in k 8.204 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.204 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.204 * [taylor]: Taking taylor expansion of k in k 8.205 * [taylor]: Taking taylor expansion of 1.0 in k 8.205 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.205 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.205 * [taylor]: Taking taylor expansion of -2.0 in k 8.205 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.205 * [taylor]: Taking taylor expansion of PI in k 8.205 * [taylor]: Taking taylor expansion of n in k 8.206 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.206 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.206 * [taylor]: Taking taylor expansion of 1.0 in k 8.206 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.206 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.206 * [taylor]: Taking taylor expansion of -1 in k 8.206 * [taylor]: Taking taylor expansion of k in k 8.210 * [taylor]: Taking taylor expansion of (/ (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in k 8.210 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) in k 8.210 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.210 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.211 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.211 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.211 * [taylor]: Taking taylor expansion of 0.5 in k 8.211 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.211 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.211 * [taylor]: Taking taylor expansion of k in k 8.211 * [taylor]: Taking taylor expansion of 1.0 in k 8.211 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.211 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.211 * [taylor]: Taking taylor expansion of -2.0 in k 8.211 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.211 * [taylor]: Taking taylor expansion of PI in k 8.211 * [taylor]: Taking taylor expansion of n in k 8.212 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.212 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.212 * [taylor]: Taking taylor expansion of 1.0 in k 8.212 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.213 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.213 * [taylor]: Taking taylor expansion of -1 in k 8.213 * [taylor]: Taking taylor expansion of k in k 8.216 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2))) in n 8.216 * [taylor]: Taking taylor expansion of +nan.0 in n 8.216 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2)) in n 8.216 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 8.216 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 8.216 * [taylor]: Taking taylor expansion of 0.5 in n 8.216 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 8.216 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.216 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.216 * [taylor]: Taking taylor expansion of k in n 8.216 * [taylor]: Taking taylor expansion of 1.0 in n 8.216 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.216 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.216 * [taylor]: Taking taylor expansion of -2.0 in n 8.216 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.216 * [taylor]: Taking taylor expansion of PI in n 8.216 * [taylor]: Taking taylor expansion of n in n 8.221 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.221 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.221 * [taylor]: Taking taylor expansion of 1.0 in n 8.231 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2)))) in n 8.231 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2))) in n 8.231 * [taylor]: Taking taylor expansion of +nan.0 in n 8.231 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2)) in n 8.231 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 8.231 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 8.231 * [taylor]: Taking taylor expansion of 0.5 in n 8.231 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 8.231 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.231 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.231 * [taylor]: Taking taylor expansion of k in n 8.231 * [taylor]: Taking taylor expansion of 1.0 in n 8.231 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.231 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.231 * [taylor]: Taking taylor expansion of -2.0 in n 8.231 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.231 * [taylor]: Taking taylor expansion of PI in n 8.231 * [taylor]: Taking taylor expansion of n in n 8.236 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.236 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.236 * [taylor]: Taking taylor expansion of 1.0 in n 8.259 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2)))) in n 8.259 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2))) in n 8.259 * [taylor]: Taking taylor expansion of +nan.0 in n 8.259 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2)) in n 8.259 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 8.259 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 8.259 * [taylor]: Taking taylor expansion of 0.5 in n 8.259 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 8.259 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.259 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.259 * [taylor]: Taking taylor expansion of k in n 8.259 * [taylor]: Taking taylor expansion of 1.0 in n 8.259 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.259 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.259 * [taylor]: Taking taylor expansion of -2.0 in n 8.259 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.259 * [taylor]: Taking taylor expansion of PI in n 8.259 * [taylor]: Taking taylor expansion of n in n 8.264 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.264 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.264 * [taylor]: Taking taylor expansion of 1.0 in n 8.279 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 8.279 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 8.279 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.279 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.279 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.279 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.279 * [taylor]: Taking taylor expansion of 0.5 in k 8.280 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.280 * [taylor]: Taking taylor expansion of 1.0 in k 8.280 * [taylor]: Taking taylor expansion of k in k 8.280 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.280 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.280 * [taylor]: Taking taylor expansion of 2.0 in k 8.280 * [taylor]: Taking taylor expansion of (* n PI) in k 8.280 * [taylor]: Taking taylor expansion of n in k 8.280 * [taylor]: Taking taylor expansion of PI in k 8.281 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.281 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.281 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.281 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.281 * [taylor]: Taking taylor expansion of 0.5 in n 8.281 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.281 * [taylor]: Taking taylor expansion of 1.0 in n 8.281 * [taylor]: Taking taylor expansion of k in n 8.281 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.281 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.281 * [taylor]: Taking taylor expansion of 2.0 in n 8.281 * [taylor]: Taking taylor expansion of (* n PI) in n 8.281 * [taylor]: Taking taylor expansion of n in n 8.281 * [taylor]: Taking taylor expansion of PI in n 8.286 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.286 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.286 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.286 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.286 * [taylor]: Taking taylor expansion of 0.5 in n 8.286 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.286 * [taylor]: Taking taylor expansion of 1.0 in n 8.286 * [taylor]: Taking taylor expansion of k in n 8.286 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.286 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.286 * [taylor]: Taking taylor expansion of 2.0 in n 8.286 * [taylor]: Taking taylor expansion of (* n PI) in n 8.286 * [taylor]: Taking taylor expansion of n in n 8.286 * [taylor]: Taking taylor expansion of PI in n 8.292 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 8.292 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 8.292 * [taylor]: Taking taylor expansion of 0.5 in k 8.292 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 8.292 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.292 * [taylor]: Taking taylor expansion of 1.0 in k 8.292 * [taylor]: Taking taylor expansion of k in k 8.292 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 8.292 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.292 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.292 * [taylor]: Taking taylor expansion of 2.0 in k 8.292 * [taylor]: Taking taylor expansion of PI in k 8.293 * [taylor]: Taking taylor expansion of (log n) in k 8.293 * [taylor]: Taking taylor expansion of n in k 8.302 * [taylor]: Taking taylor expansion of 0 in k 8.318 * [taylor]: Taking taylor expansion of 0 in k 8.337 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.337 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.337 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.337 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.337 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.337 * [taylor]: Taking taylor expansion of 0.5 in k 8.337 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.337 * [taylor]: Taking taylor expansion of 1.0 in k 8.337 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.337 * [taylor]: Taking taylor expansion of k in k 8.338 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.338 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.338 * [taylor]: Taking taylor expansion of 2.0 in k 8.338 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.338 * [taylor]: Taking taylor expansion of PI in k 8.338 * [taylor]: Taking taylor expansion of n in k 8.339 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.339 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.339 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.339 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.339 * [taylor]: Taking taylor expansion of 0.5 in n 8.339 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.339 * [taylor]: Taking taylor expansion of 1.0 in n 8.339 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.339 * [taylor]: Taking taylor expansion of k in n 8.339 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.339 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.339 * [taylor]: Taking taylor expansion of 2.0 in n 8.339 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.339 * [taylor]: Taking taylor expansion of PI in n 8.339 * [taylor]: Taking taylor expansion of n in n 8.343 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.343 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.343 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.343 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.343 * [taylor]: Taking taylor expansion of 0.5 in n 8.343 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.343 * [taylor]: Taking taylor expansion of 1.0 in n 8.343 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.343 * [taylor]: Taking taylor expansion of k in n 8.343 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.343 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.343 * [taylor]: Taking taylor expansion of 2.0 in n 8.343 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.343 * [taylor]: Taking taylor expansion of PI in n 8.343 * [taylor]: Taking taylor expansion of n in n 8.347 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 8.347 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 8.347 * [taylor]: Taking taylor expansion of 0.5 in k 8.347 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 8.347 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 8.347 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.347 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.347 * [taylor]: Taking taylor expansion of 2.0 in k 8.347 * [taylor]: Taking taylor expansion of PI in k 8.348 * [taylor]: Taking taylor expansion of (log n) in k 8.348 * [taylor]: Taking taylor expansion of n in k 8.348 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.348 * [taylor]: Taking taylor expansion of 1.0 in k 8.348 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.348 * [taylor]: Taking taylor expansion of k in k 8.358 * [taylor]: Taking taylor expansion of 0 in k 8.369 * [taylor]: Taking taylor expansion of 0 in k 8.379 * [taylor]: Taking taylor expansion of 0 in k 8.380 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.380 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.380 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.380 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.380 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.380 * [taylor]: Taking taylor expansion of 0.5 in k 8.380 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.380 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.380 * [taylor]: Taking taylor expansion of k in k 8.380 * [taylor]: Taking taylor expansion of 1.0 in k 8.380 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.380 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.380 * [taylor]: Taking taylor expansion of -2.0 in k 8.380 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.380 * [taylor]: Taking taylor expansion of PI in k 8.381 * [taylor]: Taking taylor expansion of n in k 8.381 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.381 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.381 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.381 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.381 * [taylor]: Taking taylor expansion of 0.5 in n 8.381 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.381 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.381 * [taylor]: Taking taylor expansion of k in n 8.382 * [taylor]: Taking taylor expansion of 1.0 in n 8.382 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.382 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.382 * [taylor]: Taking taylor expansion of -2.0 in n 8.382 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.382 * [taylor]: Taking taylor expansion of PI in n 8.382 * [taylor]: Taking taylor expansion of n in n 8.385 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.385 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.385 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.385 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.385 * [taylor]: Taking taylor expansion of 0.5 in n 8.385 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.385 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.385 * [taylor]: Taking taylor expansion of k in n 8.386 * [taylor]: Taking taylor expansion of 1.0 in n 8.386 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.386 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.386 * [taylor]: Taking taylor expansion of -2.0 in n 8.386 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.386 * [taylor]: Taking taylor expansion of PI in n 8.386 * [taylor]: Taking taylor expansion of n in n 8.389 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 8.389 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 8.389 * [taylor]: Taking taylor expansion of 0.5 in k 8.389 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 8.389 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.389 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.389 * [taylor]: Taking taylor expansion of k in k 8.390 * [taylor]: Taking taylor expansion of 1.0 in k 8.390 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 8.390 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 8.390 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 8.390 * [taylor]: Taking taylor expansion of -2.0 in k 8.390 * [taylor]: Taking taylor expansion of PI in k 8.391 * [taylor]: Taking taylor expansion of (log n) in k 8.391 * [taylor]: Taking taylor expansion of n in k 8.400 * [taylor]: Taking taylor expansion of 0 in k 8.407 * [taylor]: Taking taylor expansion of 0 in k 8.416 * [taylor]: Taking taylor expansion of 0 in k 8.417 * * * [progress]: simplifying candidates 8.419 * [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))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (* (/ 1.0 (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 1) (+ (log (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (log (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (log (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (exp (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (* (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (cbrt (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (cbrt (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))) (cbrt (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (* (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (sqrt (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (sqrt (sqrt k))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 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 (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (sqrt k))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt k)) (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt k)) (sqrt (sqrt k))) (* (* (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))) (* (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* 1 1) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) 1) (* (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (* 1.0 (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))))) (* (+ (+ (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)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (pow (sqrt 1.0) 2) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (sqrt 1.0) 2) (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (* (pow (sqrt 1.0) 2) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)))))))))))))))))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow (sqrt 1.0) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow (sqrt 1.0) 2)) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow (sqrt 1.0) 2)) (pow k 3)))))))) (- (+ (* +nan.0 (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k)) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (pow k 2)))))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 8.443 * * [simplify]: iteration 0 : 368 enodes (cost 3823 )