16.448 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 8.628 * * * [progress]: [2/2] Setting up program. 8.631 * [progress]: [Phase 2 of 3] Improving. 8.631 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 8.633 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 8.635 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 8.637 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 8.639 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 8.645 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 8.667 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 8.667 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 8.667 * * [progress]: iteration 1 / 4 8.667 * * * [progress]: picking best candidate 8.670 * * * * [pick]: Picked # 8.670 * * * [progress]: localizing error 8.685 * * * [progress]: generating rewritten candidates 8.685 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.693 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 8.703 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 8.707 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 8.717 * * * [progress]: generating series expansions 8.717 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.718 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 8.718 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.718 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.718 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.718 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.718 * [taylor]: Taking taylor expansion of 0.5 in k 8.718 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.718 * [taylor]: Taking taylor expansion of 1.0 in k 8.718 * [taylor]: Taking taylor expansion of k in k 8.718 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.718 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.718 * [taylor]: Taking taylor expansion of 2.0 in k 8.718 * [taylor]: Taking taylor expansion of (* n PI) in k 8.718 * [taylor]: Taking taylor expansion of n in k 8.718 * [taylor]: Taking taylor expansion of PI in k 8.718 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.718 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.718 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.718 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.718 * [taylor]: Taking taylor expansion of 0.5 in n 8.718 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.718 * [taylor]: Taking taylor expansion of 1.0 in n 8.718 * [taylor]: Taking taylor expansion of k in n 8.718 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.718 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.718 * [taylor]: Taking taylor expansion of 2.0 in n 8.718 * [taylor]: Taking taylor expansion of (* n PI) in n 8.718 * [taylor]: Taking taylor expansion of n in n 8.718 * [taylor]: Taking taylor expansion of PI in n 8.718 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.718 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.719 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.719 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.719 * [taylor]: Taking taylor expansion of 0.5 in n 8.719 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.719 * [taylor]: Taking taylor expansion of 1.0 in n 8.719 * [taylor]: Taking taylor expansion of k in n 8.719 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.719 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.719 * [taylor]: Taking taylor expansion of 2.0 in n 8.719 * [taylor]: Taking taylor expansion of (* n PI) in n 8.719 * [taylor]: Taking taylor expansion of n in n 8.719 * [taylor]: Taking taylor expansion of PI in n 8.719 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 8.719 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 8.719 * [taylor]: Taking taylor expansion of 0.5 in k 8.719 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 8.719 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.719 * [taylor]: Taking taylor expansion of 1.0 in k 8.719 * [taylor]: Taking taylor expansion of k in k 8.719 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 8.719 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.719 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.719 * [taylor]: Taking taylor expansion of 2.0 in k 8.719 * [taylor]: Taking taylor expansion of PI in k 8.719 * [taylor]: Taking taylor expansion of (log n) in k 8.719 * [taylor]: Taking taylor expansion of n in k 8.720 * [taylor]: Taking taylor expansion of 0 in k 8.721 * [taylor]: Taking taylor expansion of 0 in k 8.723 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.723 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.723 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.723 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.723 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.723 * [taylor]: Taking taylor expansion of 0.5 in k 8.724 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.724 * [taylor]: Taking taylor expansion of 1.0 in k 8.724 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.724 * [taylor]: Taking taylor expansion of k in k 8.724 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.724 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.724 * [taylor]: Taking taylor expansion of 2.0 in k 8.724 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.724 * [taylor]: Taking taylor expansion of PI in k 8.724 * [taylor]: Taking taylor expansion of n in k 8.724 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.724 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.724 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.724 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.724 * [taylor]: Taking taylor expansion of 0.5 in n 8.724 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.724 * [taylor]: Taking taylor expansion of 1.0 in n 8.724 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.724 * [taylor]: Taking taylor expansion of k in n 8.724 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.724 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.724 * [taylor]: Taking taylor expansion of 2.0 in n 8.724 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.724 * [taylor]: Taking taylor expansion of PI in n 8.724 * [taylor]: Taking taylor expansion of n in n 8.725 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.725 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.725 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.725 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.725 * [taylor]: Taking taylor expansion of 0.5 in n 8.725 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.725 * [taylor]: Taking taylor expansion of 1.0 in n 8.725 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.725 * [taylor]: Taking taylor expansion of k in n 8.725 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.725 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.725 * [taylor]: Taking taylor expansion of 2.0 in n 8.725 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.725 * [taylor]: Taking taylor expansion of PI in n 8.725 * [taylor]: Taking taylor expansion of n in n 8.725 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 8.725 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 8.725 * [taylor]: Taking taylor expansion of 0.5 in k 8.725 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 8.725 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 8.725 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.725 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.725 * [taylor]: Taking taylor expansion of 2.0 in k 8.725 * [taylor]: Taking taylor expansion of PI in k 8.725 * [taylor]: Taking taylor expansion of (log n) in k 8.725 * [taylor]: Taking taylor expansion of n in k 8.725 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.725 * [taylor]: Taking taylor expansion of 1.0 in k 8.725 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.726 * [taylor]: Taking taylor expansion of k in k 8.726 * [taylor]: Taking taylor expansion of 0 in k 8.727 * [taylor]: Taking taylor expansion of 0 in k 8.728 * [taylor]: Taking taylor expansion of 0 in k 8.728 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.728 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.728 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.728 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.728 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.728 * [taylor]: Taking taylor expansion of 0.5 in k 8.728 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.729 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.729 * [taylor]: Taking taylor expansion of k in k 8.729 * [taylor]: Taking taylor expansion of 1.0 in k 8.729 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.729 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.729 * [taylor]: Taking taylor expansion of -2.0 in k 8.729 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.729 * [taylor]: Taking taylor expansion of PI in k 8.729 * [taylor]: Taking taylor expansion of n in k 8.732 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.732 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.732 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.732 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.732 * [taylor]: Taking taylor expansion of 0.5 in n 8.732 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.732 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.732 * [taylor]: Taking taylor expansion of k in n 8.732 * [taylor]: Taking taylor expansion of 1.0 in n 8.732 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.732 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.732 * [taylor]: Taking taylor expansion of -2.0 in n 8.732 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.732 * [taylor]: Taking taylor expansion of PI in n 8.732 * [taylor]: Taking taylor expansion of n in n 8.733 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.733 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.733 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.733 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.733 * [taylor]: Taking taylor expansion of 0.5 in n 8.733 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.733 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.733 * [taylor]: Taking taylor expansion of k in n 8.733 * [taylor]: Taking taylor expansion of 1.0 in n 8.733 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.733 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.733 * [taylor]: Taking taylor expansion of -2.0 in n 8.733 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.733 * [taylor]: Taking taylor expansion of PI in n 8.733 * [taylor]: Taking taylor expansion of n in n 8.733 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 8.733 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 8.733 * [taylor]: Taking taylor expansion of 0.5 in k 8.733 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 8.733 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.733 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.733 * [taylor]: Taking taylor expansion of k in k 8.733 * [taylor]: Taking taylor expansion of 1.0 in k 8.733 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 8.733 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 8.733 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 8.733 * [taylor]: Taking taylor expansion of -2.0 in k 8.733 * [taylor]: Taking taylor expansion of PI in k 8.733 * [taylor]: Taking taylor expansion of (log n) in k 8.734 * [taylor]: Taking taylor expansion of n in k 8.734 * [taylor]: Taking taylor expansion of 0 in k 8.735 * [taylor]: Taking taylor expansion of 0 in k 8.736 * [taylor]: Taking taylor expansion of 0 in k 8.736 * * * * [progress]: [ 2 / 4 ] generating series at (2) 8.736 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 8.736 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 8.736 * [taylor]: Taking taylor expansion of 1.0 in n 8.736 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 8.736 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 8.736 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.737 * [taylor]: Taking taylor expansion of k in n 8.737 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.737 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.737 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.737 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.737 * [taylor]: Taking taylor expansion of 0.5 in n 8.737 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.737 * [taylor]: Taking taylor expansion of 1.0 in n 8.737 * [taylor]: Taking taylor expansion of k in n 8.737 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.737 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.737 * [taylor]: Taking taylor expansion of 2.0 in n 8.737 * [taylor]: Taking taylor expansion of (* n PI) in n 8.737 * [taylor]: Taking taylor expansion of n in n 8.737 * [taylor]: Taking taylor expansion of PI in n 8.737 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 8.737 * [taylor]: Taking taylor expansion of 1.0 in k 8.737 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 8.737 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.737 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.737 * [taylor]: Taking taylor expansion of k in k 8.738 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.738 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.738 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.738 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.738 * [taylor]: Taking taylor expansion of 0.5 in k 8.738 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.738 * [taylor]: Taking taylor expansion of 1.0 in k 8.738 * [taylor]: Taking taylor expansion of k in k 8.738 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.738 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.738 * [taylor]: Taking taylor expansion of 2.0 in k 8.738 * [taylor]: Taking taylor expansion of (* n PI) in k 8.738 * [taylor]: Taking taylor expansion of n in k 8.738 * [taylor]: Taking taylor expansion of PI in k 8.738 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 8.738 * [taylor]: Taking taylor expansion of 1.0 in k 8.738 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 8.738 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.738 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.738 * [taylor]: Taking taylor expansion of k in k 8.738 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.738 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.738 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.738 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.738 * [taylor]: Taking taylor expansion of 0.5 in k 8.738 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.738 * [taylor]: Taking taylor expansion of 1.0 in k 8.738 * [taylor]: Taking taylor expansion of k in k 8.738 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.738 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.738 * [taylor]: Taking taylor expansion of 2.0 in k 8.738 * [taylor]: Taking taylor expansion of (* n PI) in k 8.738 * [taylor]: Taking taylor expansion of n in k 8.738 * [taylor]: Taking taylor expansion of PI in k 8.739 * [taylor]: Taking taylor expansion of 0 in n 8.739 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 8.739 * [taylor]: Taking taylor expansion of 1.0 in n 8.740 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 8.740 * [taylor]: Taking taylor expansion of NAN in n 8.740 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 8.740 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 8.740 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 8.740 * [taylor]: Taking taylor expansion of 0.5 in n 8.740 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 8.740 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 8.740 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.740 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.740 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.740 * [taylor]: Taking taylor expansion of 1.0 in n 8.740 * [taylor]: Taking taylor expansion of (log PI) in n 8.740 * [taylor]: Taking taylor expansion of PI in n 8.740 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 8.740 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.740 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.740 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.740 * [taylor]: Taking taylor expansion of 1.0 in n 8.740 * [taylor]: Taking taylor expansion of (log n) in n 8.740 * [taylor]: Taking taylor expansion of n in n 8.740 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.740 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.740 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.740 * [taylor]: Taking taylor expansion of 1.0 in n 8.740 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.740 * [taylor]: Taking taylor expansion of 2.0 in n 8.744 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 8.744 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) in n 8.744 * [taylor]: Taking taylor expansion of 1.0 in n 8.744 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) in n 8.744 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.744 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.744 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.744 * [taylor]: Taking taylor expansion of 0.5 in n 8.744 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.744 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.744 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.744 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.744 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.744 * [taylor]: Taking taylor expansion of 1.0 in n 8.744 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.744 * [taylor]: Taking taylor expansion of 2.0 in n 8.744 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.744 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.744 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.744 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.744 * [taylor]: Taking taylor expansion of 1.0 in n 8.744 * [taylor]: Taking taylor expansion of (log n) in n 8.744 * [taylor]: Taking taylor expansion of n in n 8.744 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.744 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.744 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.744 * [taylor]: Taking taylor expansion of 1.0 in n 8.744 * [taylor]: Taking taylor expansion of (log PI) in n 8.744 * [taylor]: Taking taylor expansion of PI in n 8.745 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 8.745 * [taylor]: Taking taylor expansion of NAN in n 8.745 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 8.745 * [taylor]: Taking taylor expansion of 0.5 in n 8.745 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 8.745 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 8.745 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.745 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.745 * [taylor]: Taking taylor expansion of 2.0 in n 8.745 * [taylor]: Taking taylor expansion of (* n PI) in n 8.745 * [taylor]: Taking taylor expansion of n in n 8.745 * [taylor]: Taking taylor expansion of PI in n 8.745 * [taylor]: Taking taylor expansion of NAN in n 8.745 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.746 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.746 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.746 * [taylor]: Taking taylor expansion of 0.5 in n 8.746 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.746 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.746 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.746 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.746 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.746 * [taylor]: Taking taylor expansion of 1.0 in n 8.746 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.746 * [taylor]: Taking taylor expansion of 2.0 in n 8.746 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.746 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.746 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.746 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.746 * [taylor]: Taking taylor expansion of 1.0 in n 8.746 * [taylor]: Taking taylor expansion of (log n) in n 8.746 * [taylor]: Taking taylor expansion of n in n 8.746 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.746 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.746 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.746 * [taylor]: Taking taylor expansion of 1.0 in n 8.746 * [taylor]: Taking taylor expansion of (log PI) in n 8.746 * [taylor]: Taking taylor expansion of PI in n 8.756 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 8.756 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) in n 8.756 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 8.756 * [taylor]: Taking taylor expansion of 0.125 in n 8.756 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 8.756 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 8.756 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 8.756 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.756 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.756 * [taylor]: Taking taylor expansion of 2.0 in n 8.756 * [taylor]: Taking taylor expansion of (* n PI) in n 8.756 * [taylor]: Taking taylor expansion of n in n 8.756 * [taylor]: Taking taylor expansion of PI in n 8.756 * [taylor]: Taking taylor expansion of NAN in n 8.756 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.756 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.756 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.756 * [taylor]: Taking taylor expansion of 0.5 in n 8.756 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.757 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.757 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.757 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.757 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.757 * [taylor]: Taking taylor expansion of 1.0 in n 8.757 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.757 * [taylor]: Taking taylor expansion of 2.0 in n 8.757 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.757 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.757 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.757 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.757 * [taylor]: Taking taylor expansion of 1.0 in n 8.757 * [taylor]: Taking taylor expansion of (log n) in n 8.757 * [taylor]: Taking taylor expansion of n in n 8.757 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.757 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.757 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.757 * [taylor]: Taking taylor expansion of 1.0 in n 8.757 * [taylor]: Taking taylor expansion of (log PI) in n 8.757 * [taylor]: Taking taylor expansion of PI in n 8.758 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5))) in n 8.758 * [taylor]: Taking taylor expansion of 1.0 in n 8.758 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)) in n 8.758 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.758 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.758 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.758 * [taylor]: Taking taylor expansion of 0.5 in n 8.758 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.758 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.758 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.758 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.758 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.758 * [taylor]: Taking taylor expansion of 1.0 in n 8.758 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.758 * [taylor]: Taking taylor expansion of 2.0 in n 8.758 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.758 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.758 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.758 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.758 * [taylor]: Taking taylor expansion of 1.0 in n 8.758 * [taylor]: Taking taylor expansion of (log n) in n 8.758 * [taylor]: Taking taylor expansion of n in n 8.758 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.758 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.758 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.758 * [taylor]: Taking taylor expansion of 1.0 in n 8.758 * [taylor]: Taking taylor expansion of (log PI) in n 8.758 * [taylor]: Taking taylor expansion of PI in n 8.759 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 8.759 * [taylor]: Taking taylor expansion of NAN in n 8.759 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 8.759 * [taylor]: Taking taylor expansion of 0.5 in n 8.759 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 8.759 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 8.759 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.759 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.759 * [taylor]: Taking taylor expansion of 2.0 in n 8.759 * [taylor]: Taking taylor expansion of (* n PI) in n 8.759 * [taylor]: Taking taylor expansion of n in n 8.759 * [taylor]: Taking taylor expansion of PI in n 8.760 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 8.760 * [taylor]: Taking taylor expansion of NAN in n 8.760 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.760 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.760 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.760 * [taylor]: Taking taylor expansion of 0.5 in n 8.760 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.760 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.760 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.760 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.760 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.760 * [taylor]: Taking taylor expansion of 1.0 in n 8.760 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.760 * [taylor]: Taking taylor expansion of 2.0 in n 8.760 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.760 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.760 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.760 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.760 * [taylor]: Taking taylor expansion of 1.0 in n 8.760 * [taylor]: Taking taylor expansion of (log n) in n 8.760 * [taylor]: Taking taylor expansion of n in n 8.760 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.760 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.760 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.760 * [taylor]: Taking taylor expansion of 1.0 in n 8.760 * [taylor]: Taking taylor expansion of (log PI) in n 8.760 * [taylor]: Taking taylor expansion of PI in n 8.774 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 8.774 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 8.774 * [taylor]: Taking taylor expansion of 1.0 in n 8.774 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 8.774 * [taylor]: Taking taylor expansion of (sqrt k) in n 8.774 * [taylor]: Taking taylor expansion of k in n 8.774 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.774 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.774 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.774 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.774 * [taylor]: Taking taylor expansion of 0.5 in n 8.774 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.774 * [taylor]: Taking taylor expansion of 1.0 in n 8.774 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.774 * [taylor]: Taking taylor expansion of k in n 8.774 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.774 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.774 * [taylor]: Taking taylor expansion of 2.0 in n 8.774 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.774 * [taylor]: Taking taylor expansion of PI in n 8.774 * [taylor]: Taking taylor expansion of n in n 8.774 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.774 * [taylor]: Taking taylor expansion of 1.0 in k 8.774 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.774 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.774 * [taylor]: Taking taylor expansion of k in k 8.775 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.775 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.775 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.775 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.775 * [taylor]: Taking taylor expansion of 0.5 in k 8.775 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.775 * [taylor]: Taking taylor expansion of 1.0 in k 8.775 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.775 * [taylor]: Taking taylor expansion of k in k 8.775 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.775 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.775 * [taylor]: Taking taylor expansion of 2.0 in k 8.775 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.775 * [taylor]: Taking taylor expansion of PI in k 8.775 * [taylor]: Taking taylor expansion of n in k 8.775 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.775 * [taylor]: Taking taylor expansion of 1.0 in k 8.775 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.775 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.775 * [taylor]: Taking taylor expansion of k in k 8.775 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.775 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.775 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.775 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.775 * [taylor]: Taking taylor expansion of 0.5 in k 8.775 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.775 * [taylor]: Taking taylor expansion of 1.0 in k 8.775 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.775 * [taylor]: Taking taylor expansion of k in k 8.775 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.775 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.775 * [taylor]: Taking taylor expansion of 2.0 in k 8.775 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.775 * [taylor]: Taking taylor expansion of PI in k 8.775 * [taylor]: Taking taylor expansion of n in k 8.776 * [taylor]: Taking taylor expansion of 0 in n 8.776 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 8.776 * [taylor]: Taking taylor expansion of 1.0 in n 8.776 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 8.776 * [taylor]: Taking taylor expansion of NAN in n 8.776 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 8.776 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 8.776 * [taylor]: Taking taylor expansion of 0.5 in n 8.776 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 8.776 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.776 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.776 * [taylor]: Taking taylor expansion of 2.0 in n 8.776 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.776 * [taylor]: Taking taylor expansion of PI in n 8.776 * [taylor]: Taking taylor expansion of n in n 8.776 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.776 * [taylor]: Taking taylor expansion of 1.0 in n 8.776 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.776 * [taylor]: Taking taylor expansion of k in n 8.777 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 8.777 * [taylor]: Taking taylor expansion of 1.0 in n 8.777 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 8.777 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 8.777 * [taylor]: Taking taylor expansion of NAN in n 8.778 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 8.778 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 8.778 * [taylor]: Taking taylor expansion of 0.5 in n 8.778 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 8.778 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.778 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.778 * [taylor]: Taking taylor expansion of 2.0 in n 8.778 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.778 * [taylor]: Taking taylor expansion of PI in n 8.778 * [taylor]: Taking taylor expansion of n in n 8.778 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.778 * [taylor]: Taking taylor expansion of 1.0 in n 8.778 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.778 * [taylor]: Taking taylor expansion of k in n 8.780 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 8.780 * [taylor]: Taking taylor expansion of 1.0 in n 8.780 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 8.780 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 8.780 * [taylor]: Taking taylor expansion of NAN in n 8.780 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 8.780 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 8.780 * [taylor]: Taking taylor expansion of 0.5 in n 8.780 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 8.780 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.780 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.780 * [taylor]: Taking taylor expansion of 2.0 in n 8.780 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.780 * [taylor]: Taking taylor expansion of PI in n 8.780 * [taylor]: Taking taylor expansion of n in n 8.780 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.780 * [taylor]: Taking taylor expansion of 1.0 in n 8.780 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.780 * [taylor]: Taking taylor expansion of k in n 8.782 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 8.782 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 8.782 * [taylor]: Taking taylor expansion of 1.0 in n 8.782 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 8.782 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.782 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.782 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.782 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.782 * [taylor]: Taking taylor expansion of 0.5 in n 8.782 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.782 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.782 * [taylor]: Taking taylor expansion of k in n 8.782 * [taylor]: Taking taylor expansion of 1.0 in n 8.782 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.782 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.782 * [taylor]: Taking taylor expansion of -2.0 in n 8.782 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.782 * [taylor]: Taking taylor expansion of PI in n 8.782 * [taylor]: Taking taylor expansion of n in n 8.783 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 8.783 * [taylor]: Taking taylor expansion of (/ -1 k) in n 8.783 * [taylor]: Taking taylor expansion of -1 in n 8.783 * [taylor]: Taking taylor expansion of k in n 8.783 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.783 * [taylor]: Taking taylor expansion of 1.0 in k 8.783 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.783 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.783 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.783 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.783 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.783 * [taylor]: Taking taylor expansion of 0.5 in k 8.783 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.783 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.783 * [taylor]: Taking taylor expansion of k in k 8.783 * [taylor]: Taking taylor expansion of 1.0 in k 8.783 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.783 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.783 * [taylor]: Taking taylor expansion of -2.0 in k 8.783 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.783 * [taylor]: Taking taylor expansion of PI in k 8.783 * [taylor]: Taking taylor expansion of n in k 8.784 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.784 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.784 * [taylor]: Taking taylor expansion of -1 in k 8.784 * [taylor]: Taking taylor expansion of k in k 8.784 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.784 * [taylor]: Taking taylor expansion of 1.0 in k 8.784 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.784 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.784 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.784 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.784 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.784 * [taylor]: Taking taylor expansion of 0.5 in k 8.784 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.784 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.784 * [taylor]: Taking taylor expansion of k in k 8.784 * [taylor]: Taking taylor expansion of 1.0 in k 8.784 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.784 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.784 * [taylor]: Taking taylor expansion of -2.0 in k 8.784 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.784 * [taylor]: Taking taylor expansion of PI in k 8.784 * [taylor]: Taking taylor expansion of n in k 8.784 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.784 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.784 * [taylor]: Taking taylor expansion of -1 in k 8.784 * [taylor]: Taking taylor expansion of k in k 8.785 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 8.785 * [taylor]: Taking taylor expansion of 1.0 in n 8.785 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 8.785 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 8.785 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 8.785 * [taylor]: Taking taylor expansion of 0.5 in n 8.785 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 8.785 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.785 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.785 * [taylor]: Taking taylor expansion of k in n 8.785 * [taylor]: Taking taylor expansion of 1.0 in n 8.785 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.785 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.785 * [taylor]: Taking taylor expansion of -2.0 in n 8.785 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.785 * [taylor]: Taking taylor expansion of PI in n 8.785 * [taylor]: Taking taylor expansion of n in n 8.785 * [taylor]: Taking taylor expansion of NAN in n 8.786 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN))) in n 8.786 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 8.786 * [taylor]: Taking taylor expansion of 1.0 in n 8.786 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 8.786 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 8.786 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 8.786 * [taylor]: Taking taylor expansion of 0.5 in n 8.786 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 8.786 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.786 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.786 * [taylor]: Taking taylor expansion of k in n 8.786 * [taylor]: Taking taylor expansion of 1.0 in n 8.786 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.786 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.786 * [taylor]: Taking taylor expansion of -2.0 in n 8.786 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.786 * [taylor]: Taking taylor expansion of PI in n 8.786 * [taylor]: Taking taylor expansion of n in n 8.787 * [taylor]: Taking taylor expansion of NAN in n 8.789 * [taylor]: Taking taylor expansion of 0 in n 8.791 * [taylor]: Taking taylor expansion of 0 in n 8.792 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 8.792 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.792 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.792 * [taylor]: Taking taylor expansion of 1.0 in k 8.792 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.792 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.792 * [taylor]: Taking taylor expansion of k in k 8.792 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.792 * [taylor]: Taking taylor expansion of 1.0 in k 8.792 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.792 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.792 * [taylor]: Taking taylor expansion of k in k 8.793 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.793 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.793 * [taylor]: Taking taylor expansion of 1.0 in k 8.793 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.793 * [taylor]: Taking taylor expansion of k in k 8.793 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.793 * [taylor]: Taking taylor expansion of 1.0 in k 8.793 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.793 * [taylor]: Taking taylor expansion of k in k 8.794 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.794 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.794 * [taylor]: Taking taylor expansion of 1.0 in k 8.794 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.794 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.794 * [taylor]: Taking taylor expansion of -1 in k 8.794 * [taylor]: Taking taylor expansion of k in k 8.794 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.794 * [taylor]: Taking taylor expansion of 1.0 in k 8.795 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.795 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.795 * [taylor]: Taking taylor expansion of -1 in k 8.795 * [taylor]: Taking taylor expansion of k in k 8.799 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 8.799 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 8.799 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.799 * [taylor]: Taking taylor expansion of 2.0 in n 8.799 * [taylor]: Taking taylor expansion of (* n PI) in n 8.799 * [taylor]: Taking taylor expansion of n in n 8.799 * [taylor]: Taking taylor expansion of PI in n 8.799 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.799 * [taylor]: Taking taylor expansion of 2.0 in n 8.799 * [taylor]: Taking taylor expansion of (* n PI) in n 8.799 * [taylor]: Taking taylor expansion of n in n 8.799 * [taylor]: Taking taylor expansion of PI in n 8.800 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 8.800 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.800 * [taylor]: Taking taylor expansion of 2.0 in n 8.800 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.800 * [taylor]: Taking taylor expansion of PI in n 8.800 * [taylor]: Taking taylor expansion of n in n 8.800 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.800 * [taylor]: Taking taylor expansion of 2.0 in n 8.800 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.800 * [taylor]: Taking taylor expansion of PI in n 8.800 * [taylor]: Taking taylor expansion of n in n 8.801 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 8.801 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.801 * [taylor]: Taking taylor expansion of -2.0 in n 8.801 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.801 * [taylor]: Taking taylor expansion of PI in n 8.801 * [taylor]: Taking taylor expansion of n in n 8.801 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.801 * [taylor]: Taking taylor expansion of -2.0 in n 8.801 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.801 * [taylor]: Taking taylor expansion of PI in n 8.801 * [taylor]: Taking taylor expansion of n in n 8.802 * * * [progress]: simplifying candidates 8.804 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 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)))))) (- (+ (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (* NAN (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))))))))) (+ (* 0.5 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (pow NAN 3) (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (* k (* NAN (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))))))) (+ (* 1.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k)) (+ (* 1.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2))) (* 1.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 3))))) (+ (* 1.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)) (* 1.0 (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k))) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (+ (* 1.0 NAN) (* 1.0 (* k (pow NAN 3))))) (+ (* 1.0 (/ (pow NAN 5) (pow k 3))) (+ (* 1.0 (/ (pow NAN 3) (pow k 2))) (* 1.0 (/ NAN k)))) (+ (* 1.0 (/ NAN k)) (* 1.0 (/ 1 NAN))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 8.814 * * [simplify]: iteration 0 : 953 enodes (cost 1493 ) 8.831 * * [simplify]: iteration 1 : 4233 enodes (cost 1364 ) 8.896 * * [simplify]: iteration 2 : 5002 enodes (cost 1352 ) 8.905 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 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))) (* (* 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)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 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)) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (* (fabs (cbrt k)) 1)) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n)))) (* 0.5 (* k (* NAN (log n))))))) (* 1.0 (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2)) (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 3))))) (* 1.0 (+ (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN) (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k))) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 8.906 * * * [progress]: adding candidates to table 9.168 * * [progress]: iteration 2 / 4 9.168 * * * [progress]: picking best candidate 9.206 * * * * [pick]: Picked # 9.206 * * * [progress]: localizing error 9.224 * * * [progress]: generating rewritten candidates 9.224 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 9.236 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 9.240 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 9.245 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 9.256 * * * [progress]: generating series expansions 9.256 * * * * [progress]: [ 1 / 4 ] generating series at (2) 9.257 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 9.257 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 9.257 * [taylor]: Taking taylor expansion of 1.0 in k 9.257 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 9.257 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.257 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.257 * [taylor]: Taking taylor expansion of k in k 9.257 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 9.257 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 9.257 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 9.257 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 9.257 * [taylor]: Taking taylor expansion of 0.5 in k 9.257 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 9.257 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 9.257 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 9.257 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 9.257 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 9.257 * [taylor]: Taking taylor expansion of 1.0 in k 9.257 * [taylor]: Taking taylor expansion of (log 2.0) in k 9.257 * [taylor]: Taking taylor expansion of 2.0 in k 9.257 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 9.257 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.257 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.257 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.257 * [taylor]: Taking taylor expansion of 1.0 in k 9.257 * [taylor]: Taking taylor expansion of (log n) in k 9.257 * [taylor]: Taking taylor expansion of n in k 9.257 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.257 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.257 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.257 * [taylor]: Taking taylor expansion of 1.0 in k 9.258 * [taylor]: Taking taylor expansion of (log PI) in k 9.258 * [taylor]: Taking taylor expansion of PI in k 9.258 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 9.258 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 9.258 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 9.258 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 9.258 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 9.258 * [taylor]: Taking taylor expansion of 0.5 in k 9.258 * [taylor]: Taking taylor expansion of k in k 9.258 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 9.258 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 9.258 * [taylor]: Taking taylor expansion of 2.0 in k 9.258 * [taylor]: Taking taylor expansion of (* n PI) in k 9.258 * [taylor]: Taking taylor expansion of n in k 9.259 * [taylor]: Taking taylor expansion of PI in k 9.259 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 9.259 * [taylor]: Taking taylor expansion of 1.0 in n 9.259 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 9.259 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 9.259 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.259 * [taylor]: Taking taylor expansion of k in n 9.259 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 9.259 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 9.259 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 9.259 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 9.259 * [taylor]: Taking taylor expansion of 0.5 in n 9.259 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 9.259 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 9.259 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.259 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.259 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.259 * [taylor]: Taking taylor expansion of 1.0 in n 9.259 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.259 * [taylor]: Taking taylor expansion of 2.0 in n 9.259 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 9.259 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.259 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.259 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.259 * [taylor]: Taking taylor expansion of 1.0 in n 9.259 * [taylor]: Taking taylor expansion of (log n) in n 9.259 * [taylor]: Taking taylor expansion of n in n 9.260 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.260 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.260 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.260 * [taylor]: Taking taylor expansion of 1.0 in n 9.260 * [taylor]: Taking taylor expansion of (log PI) in n 9.260 * [taylor]: Taking taylor expansion of PI in n 9.260 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 9.261 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 9.261 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 9.261 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 9.261 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 9.261 * [taylor]: Taking taylor expansion of 0.5 in n 9.261 * [taylor]: Taking taylor expansion of k in n 9.261 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.261 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.261 * [taylor]: Taking taylor expansion of 2.0 in n 9.261 * [taylor]: Taking taylor expansion of (* n PI) in n 9.261 * [taylor]: Taking taylor expansion of n in n 9.261 * [taylor]: Taking taylor expansion of PI in n 9.261 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 9.261 * [taylor]: Taking taylor expansion of 1.0 in n 9.261 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 9.261 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 9.261 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.261 * [taylor]: Taking taylor expansion of k in n 9.261 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 9.261 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 9.261 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 9.261 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 9.261 * [taylor]: Taking taylor expansion of 0.5 in n 9.261 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 9.261 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 9.261 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.261 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.261 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.261 * [taylor]: Taking taylor expansion of 1.0 in n 9.261 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.261 * [taylor]: Taking taylor expansion of 2.0 in n 9.261 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 9.262 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.262 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.262 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.262 * [taylor]: Taking taylor expansion of 1.0 in n 9.262 * [taylor]: Taking taylor expansion of (log n) in n 9.262 * [taylor]: Taking taylor expansion of n in n 9.262 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.262 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.262 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.262 * [taylor]: Taking taylor expansion of 1.0 in n 9.262 * [taylor]: Taking taylor expansion of (log PI) in n 9.262 * [taylor]: Taking taylor expansion of PI in n 9.263 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 9.263 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 9.263 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 9.263 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 9.263 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 9.263 * [taylor]: Taking taylor expansion of 0.5 in n 9.263 * [taylor]: Taking taylor expansion of k in n 9.263 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.263 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.263 * [taylor]: Taking taylor expansion of 2.0 in n 9.263 * [taylor]: Taking taylor expansion of (* n PI) in n 9.263 * [taylor]: Taking taylor expansion of n in n 9.263 * [taylor]: Taking taylor expansion of PI in n 9.264 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)))) in k 9.264 * [taylor]: Taking taylor expansion of 1.0 in k 9.264 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 9.264 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.264 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.264 * [taylor]: Taking taylor expansion of k in k 9.264 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 9.264 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 9.264 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 9.264 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 9.264 * [taylor]: Taking taylor expansion of 0.5 in k 9.264 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 9.264 * [taylor]: Taking taylor expansion of k in k 9.264 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 9.264 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.264 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.264 * [taylor]: Taking taylor expansion of 2.0 in k 9.264 * [taylor]: Taking taylor expansion of PI in k 9.264 * [taylor]: Taking taylor expansion of (log n) in k 9.265 * [taylor]: Taking taylor expansion of n in k 9.265 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 9.265 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 9.265 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 9.265 * [taylor]: Taking taylor expansion of 0.5 in k 9.265 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 9.265 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 9.265 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.265 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.265 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.265 * [taylor]: Taking taylor expansion of 1.0 in k 9.265 * [taylor]: Taking taylor expansion of (log PI) in k 9.265 * [taylor]: Taking taylor expansion of PI in k 9.265 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 9.265 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 9.265 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 9.265 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 9.265 * [taylor]: Taking taylor expansion of 1.0 in k 9.265 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 9.265 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 9.265 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 9.265 * [taylor]: Taking taylor expansion of 1.0 in k 9.265 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 9.265 * [taylor]: Taking taylor expansion of (log 1) in k 9.265 * [taylor]: Taking taylor expansion of 1 in k 9.265 * [taylor]: Taking taylor expansion of (log n) in k 9.265 * [taylor]: Taking taylor expansion of n in k 9.266 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 9.266 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 9.266 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 9.266 * [taylor]: Taking taylor expansion of 1.0 in k 9.266 * [taylor]: Taking taylor expansion of (log 2.0) in k 9.266 * [taylor]: Taking taylor expansion of 2.0 in k 9.270 * [taylor]: Taking taylor expansion of 0 in k 9.278 * [taylor]: Taking taylor expansion of 0 in k 9.292 * [taylor]: Taking taylor expansion of 0 in k 9.318 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 9.318 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 9.318 * [taylor]: Taking taylor expansion of 1.0 in k 9.318 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 9.318 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.318 * [taylor]: Taking taylor expansion of k in k 9.318 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 9.318 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 9.318 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 9.318 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 9.318 * [taylor]: Taking taylor expansion of 0.5 in k 9.318 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 9.318 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 9.318 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 9.318 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 9.318 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 9.318 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 9.318 * [taylor]: Taking taylor expansion of 1.0 in k 9.318 * [taylor]: Taking taylor expansion of (log 2.0) in k 9.318 * [taylor]: Taking taylor expansion of 2.0 in k 9.318 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.318 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.318 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.318 * [taylor]: Taking taylor expansion of 1.0 in k 9.318 * [taylor]: Taking taylor expansion of (log PI) in k 9.318 * [taylor]: Taking taylor expansion of PI in k 9.318 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.318 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.318 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.318 * [taylor]: Taking taylor expansion of 1.0 in k 9.318 * [taylor]: Taking taylor expansion of (log n) in k 9.318 * [taylor]: Taking taylor expansion of n in k 9.319 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 9.319 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 9.319 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 9.319 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 9.319 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 9.319 * [taylor]: Taking taylor expansion of 0.5 in k 9.319 * [taylor]: Taking taylor expansion of k in k 9.319 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 9.319 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 9.319 * [taylor]: Taking taylor expansion of 2.0 in k 9.319 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.319 * [taylor]: Taking taylor expansion of PI in k 9.319 * [taylor]: Taking taylor expansion of n in k 9.320 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 9.320 * [taylor]: Taking taylor expansion of 1.0 in n 9.320 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 9.320 * [taylor]: Taking taylor expansion of (sqrt k) in n 9.320 * [taylor]: Taking taylor expansion of k in n 9.320 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 9.320 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.320 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.320 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.320 * [taylor]: Taking taylor expansion of 0.5 in n 9.320 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.320 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.320 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 9.320 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.320 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.320 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.320 * [taylor]: Taking taylor expansion of 1.0 in n 9.320 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.320 * [taylor]: Taking taylor expansion of 2.0 in n 9.320 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.320 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.320 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.320 * [taylor]: Taking taylor expansion of 1.0 in n 9.320 * [taylor]: Taking taylor expansion of (log PI) in n 9.320 * [taylor]: Taking taylor expansion of PI in n 9.320 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.320 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.320 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.320 * [taylor]: Taking taylor expansion of 1.0 in n 9.320 * [taylor]: Taking taylor expansion of (log n) in n 9.320 * [taylor]: Taking taylor expansion of n in n 9.321 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 9.321 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 9.321 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 9.321 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 9.321 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 9.321 * [taylor]: Taking taylor expansion of 0.5 in n 9.321 * [taylor]: Taking taylor expansion of k in n 9.321 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.321 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.321 * [taylor]: Taking taylor expansion of 2.0 in n 9.321 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.321 * [taylor]: Taking taylor expansion of PI in n 9.321 * [taylor]: Taking taylor expansion of n in n 9.322 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 9.322 * [taylor]: Taking taylor expansion of 1.0 in n 9.322 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 9.322 * [taylor]: Taking taylor expansion of (sqrt k) in n 9.322 * [taylor]: Taking taylor expansion of k in n 9.322 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 9.322 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.322 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.322 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.322 * [taylor]: Taking taylor expansion of 0.5 in n 9.322 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.322 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.322 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 9.322 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.322 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.322 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.322 * [taylor]: Taking taylor expansion of 1.0 in n 9.322 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.322 * [taylor]: Taking taylor expansion of 2.0 in n 9.322 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.322 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.322 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.322 * [taylor]: Taking taylor expansion of 1.0 in n 9.322 * [taylor]: Taking taylor expansion of (log PI) in n 9.322 * [taylor]: Taking taylor expansion of PI in n 9.322 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.322 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.322 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.322 * [taylor]: Taking taylor expansion of 1.0 in n 9.322 * [taylor]: Taking taylor expansion of (log n) in n 9.322 * [taylor]: Taking taylor expansion of n in n 9.323 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 9.323 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 9.323 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 9.323 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 9.323 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 9.323 * [taylor]: Taking taylor expansion of 0.5 in n 9.323 * [taylor]: Taking taylor expansion of k in n 9.323 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.323 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.323 * [taylor]: Taking taylor expansion of 2.0 in n 9.323 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.323 * [taylor]: Taking taylor expansion of PI in n 9.323 * [taylor]: Taking taylor expansion of n in n 9.325 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)))) in k 9.325 * [taylor]: Taking taylor expansion of 1.0 in k 9.325 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 9.325 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.325 * [taylor]: Taking taylor expansion of k in k 9.325 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 9.325 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 9.325 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 9.325 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 9.325 * [taylor]: Taking taylor expansion of 0.5 in k 9.325 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 9.325 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 9.325 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.325 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.325 * [taylor]: Taking taylor expansion of 2.0 in k 9.325 * [taylor]: Taking taylor expansion of PI in k 9.325 * [taylor]: Taking taylor expansion of (log n) in k 9.325 * [taylor]: Taking taylor expansion of n in k 9.325 * [taylor]: Taking taylor expansion of k in k 9.325 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 9.325 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 9.325 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 9.325 * [taylor]: Taking taylor expansion of 0.5 in k 9.325 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 9.325 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 9.325 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 9.325 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.325 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.325 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.325 * [taylor]: Taking taylor expansion of 1.0 in k 9.325 * [taylor]: Taking taylor expansion of (log PI) in k 9.325 * [taylor]: Taking taylor expansion of PI in k 9.326 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 9.326 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 9.326 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 9.326 * [taylor]: Taking taylor expansion of 1.0 in k 9.326 * [taylor]: Taking taylor expansion of (log 2.0) in k 9.326 * [taylor]: Taking taylor expansion of 2.0 in k 9.326 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 9.326 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 9.326 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 9.326 * [taylor]: Taking taylor expansion of 1.0 in k 9.326 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 9.326 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 9.326 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 9.326 * [taylor]: Taking taylor expansion of 1.0 in k 9.326 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 9.326 * [taylor]: Taking taylor expansion of (log 1) in k 9.326 * [taylor]: Taking taylor expansion of 1 in k 9.326 * [taylor]: Taking taylor expansion of (log n) in k 9.326 * [taylor]: Taking taylor expansion of n in k 9.331 * [taylor]: Taking taylor expansion of 0 in k 9.339 * [taylor]: Taking taylor expansion of 0 in k 9.349 * [taylor]: Taking taylor expansion of 0 in k 9.358 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 9.358 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 9.358 * [taylor]: Taking taylor expansion of 1.0 in k 9.358 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 9.359 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 9.359 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 9.359 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.359 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.359 * [taylor]: Taking taylor expansion of -1 in k 9.359 * [taylor]: Taking taylor expansion of k in k 9.359 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 9.359 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 9.359 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 9.359 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 9.359 * [taylor]: Taking taylor expansion of -0.5 in k 9.359 * [taylor]: Taking taylor expansion of k in k 9.359 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 9.359 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 9.359 * [taylor]: Taking taylor expansion of -2.0 in k 9.359 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.359 * [taylor]: Taking taylor expansion of PI in k 9.359 * [taylor]: Taking taylor expansion of n in k 9.359 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 9.359 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 9.359 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 9.359 * [taylor]: Taking taylor expansion of 0.5 in k 9.359 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 9.359 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 9.359 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 9.359 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 9.359 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 9.359 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 9.359 * [taylor]: Taking taylor expansion of 1.0 in k 9.359 * [taylor]: Taking taylor expansion of (log -2.0) in k 9.359 * [taylor]: Taking taylor expansion of -2.0 in k 9.360 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.360 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.360 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.360 * [taylor]: Taking taylor expansion of 1.0 in k 9.360 * [taylor]: Taking taylor expansion of (log PI) in k 9.360 * [taylor]: Taking taylor expansion of PI in k 9.360 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.360 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.360 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.360 * [taylor]: Taking taylor expansion of 1.0 in k 9.360 * [taylor]: Taking taylor expansion of (log n) in k 9.360 * [taylor]: Taking taylor expansion of n in k 9.361 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 9.361 * [taylor]: Taking taylor expansion of 1.0 in n 9.361 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 9.361 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 9.361 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 9.361 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 9.361 * [taylor]: Taking taylor expansion of (/ -1 k) in n 9.361 * [taylor]: Taking taylor expansion of -1 in n 9.361 * [taylor]: Taking taylor expansion of k in n 9.361 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 9.361 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 9.361 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 9.361 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 9.361 * [taylor]: Taking taylor expansion of -0.5 in n 9.361 * [taylor]: Taking taylor expansion of k in n 9.361 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.361 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.361 * [taylor]: Taking taylor expansion of -2.0 in n 9.361 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.361 * [taylor]: Taking taylor expansion of PI in n 9.361 * [taylor]: Taking taylor expansion of n in n 9.361 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.361 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.362 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.362 * [taylor]: Taking taylor expansion of 0.5 in n 9.362 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.362 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.362 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 9.362 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 9.362 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 9.362 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 9.362 * [taylor]: Taking taylor expansion of 1.0 in n 9.362 * [taylor]: Taking taylor expansion of (log -2.0) in n 9.362 * [taylor]: Taking taylor expansion of -2.0 in n 9.362 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.362 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.362 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.362 * [taylor]: Taking taylor expansion of 1.0 in n 9.362 * [taylor]: Taking taylor expansion of (log PI) in n 9.362 * [taylor]: Taking taylor expansion of PI in n 9.362 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.362 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.362 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.362 * [taylor]: Taking taylor expansion of 1.0 in n 9.362 * [taylor]: Taking taylor expansion of (log n) in n 9.362 * [taylor]: Taking taylor expansion of n in n 9.363 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 9.363 * [taylor]: Taking taylor expansion of 1.0 in n 9.363 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 9.363 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 9.363 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 9.363 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 9.363 * [taylor]: Taking taylor expansion of (/ -1 k) in n 9.363 * [taylor]: Taking taylor expansion of -1 in n 9.363 * [taylor]: Taking taylor expansion of k in n 9.363 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 9.363 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 9.363 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 9.363 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 9.363 * [taylor]: Taking taylor expansion of -0.5 in n 9.363 * [taylor]: Taking taylor expansion of k in n 9.363 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.363 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.363 * [taylor]: Taking taylor expansion of -2.0 in n 9.363 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.363 * [taylor]: Taking taylor expansion of PI in n 9.363 * [taylor]: Taking taylor expansion of n in n 9.364 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.364 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.364 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.364 * [taylor]: Taking taylor expansion of 0.5 in n 9.364 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.364 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.364 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 9.364 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 9.364 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 9.364 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 9.364 * [taylor]: Taking taylor expansion of 1.0 in n 9.364 * [taylor]: Taking taylor expansion of (log -2.0) in n 9.364 * [taylor]: Taking taylor expansion of -2.0 in n 9.364 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.364 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.364 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.364 * [taylor]: Taking taylor expansion of 1.0 in n 9.364 * [taylor]: Taking taylor expansion of (log PI) in n 9.364 * [taylor]: Taking taylor expansion of PI in n 9.364 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.364 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.364 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.364 * [taylor]: Taking taylor expansion of 1.0 in n 9.364 * [taylor]: Taking taylor expansion of (log n) in n 9.364 * [taylor]: Taking taylor expansion of n in n 9.366 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 9.366 * [taylor]: Taking taylor expansion of 1.0 in k 9.366 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 9.366 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 9.366 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 9.366 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 9.366 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 9.366 * [taylor]: Taking taylor expansion of -0.5 in k 9.366 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 9.366 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 9.366 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 9.366 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 9.366 * [taylor]: Taking taylor expansion of -2.0 in k 9.366 * [taylor]: Taking taylor expansion of PI in k 9.366 * [taylor]: Taking taylor expansion of (log n) in k 9.366 * [taylor]: Taking taylor expansion of n in k 9.366 * [taylor]: Taking taylor expansion of k in k 9.366 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.366 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.366 * [taylor]: Taking taylor expansion of -1 in k 9.366 * [taylor]: Taking taylor expansion of k in k 9.367 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 9.367 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 9.367 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 9.367 * [taylor]: Taking taylor expansion of 0.5 in k 9.367 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 9.367 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 9.367 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 9.367 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 9.367 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 9.367 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 9.367 * [taylor]: Taking taylor expansion of 1.0 in k 9.367 * [taylor]: Taking taylor expansion of (log -2.0) in k 9.367 * [taylor]: Taking taylor expansion of -2.0 in k 9.367 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.367 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.367 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.367 * [taylor]: Taking taylor expansion of 1.0 in k 9.367 * [taylor]: Taking taylor expansion of (log PI) in k 9.367 * [taylor]: Taking taylor expansion of PI in k 9.367 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 9.367 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 9.367 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 9.367 * [taylor]: Taking taylor expansion of 1.0 in k 9.367 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 9.367 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 9.367 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 9.367 * [taylor]: Taking taylor expansion of 1.0 in k 9.367 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 9.367 * [taylor]: Taking taylor expansion of (log 1) in k 9.367 * [taylor]: Taking taylor expansion of 1 in k 9.367 * [taylor]: Taking taylor expansion of (log n) in k 9.367 * [taylor]: Taking taylor expansion of n in k 9.372 * [taylor]: Taking taylor expansion of 0 in k 9.381 * [taylor]: Taking taylor expansion of 0 in k 9.391 * [taylor]: Taking taylor expansion of 0 in k 9.392 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 9.392 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 9.392 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.392 * [taylor]: Taking taylor expansion of 2.0 in n 9.392 * [taylor]: Taking taylor expansion of (* n PI) in n 9.392 * [taylor]: Taking taylor expansion of n in n 9.392 * [taylor]: Taking taylor expansion of PI in n 9.392 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.392 * [taylor]: Taking taylor expansion of 2.0 in n 9.392 * [taylor]: Taking taylor expansion of (* n PI) in n 9.392 * [taylor]: Taking taylor expansion of n in n 9.392 * [taylor]: Taking taylor expansion of PI in n 9.393 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 9.393 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.393 * [taylor]: Taking taylor expansion of 2.0 in n 9.393 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.393 * [taylor]: Taking taylor expansion of PI in n 9.393 * [taylor]: Taking taylor expansion of n in n 9.393 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.393 * [taylor]: Taking taylor expansion of 2.0 in n 9.393 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.393 * [taylor]: Taking taylor expansion of PI in n 9.393 * [taylor]: Taking taylor expansion of n in n 9.394 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 9.394 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.394 * [taylor]: Taking taylor expansion of -2.0 in n 9.394 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.394 * [taylor]: Taking taylor expansion of PI in n 9.394 * [taylor]: Taking taylor expansion of n in n 9.394 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.394 * [taylor]: Taking taylor expansion of -2.0 in n 9.394 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.394 * [taylor]: Taking taylor expansion of PI in n 9.394 * [taylor]: Taking taylor expansion of n in n 9.395 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 9.395 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 9.395 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.395 * [taylor]: Taking taylor expansion of 2.0 in n 9.395 * [taylor]: Taking taylor expansion of (* n PI) in n 9.395 * [taylor]: Taking taylor expansion of n in n 9.395 * [taylor]: Taking taylor expansion of PI in n 9.395 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.395 * [taylor]: Taking taylor expansion of 2.0 in n 9.395 * [taylor]: Taking taylor expansion of (* n PI) in n 9.395 * [taylor]: Taking taylor expansion of n in n 9.395 * [taylor]: Taking taylor expansion of PI in n 9.396 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 9.396 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.396 * [taylor]: Taking taylor expansion of 2.0 in n 9.396 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.396 * [taylor]: Taking taylor expansion of PI in n 9.396 * [taylor]: Taking taylor expansion of n in n 9.396 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.396 * [taylor]: Taking taylor expansion of 2.0 in n 9.396 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.396 * [taylor]: Taking taylor expansion of PI in n 9.396 * [taylor]: Taking taylor expansion of n in n 9.397 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 9.397 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.397 * [taylor]: Taking taylor expansion of -2.0 in n 9.397 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.397 * [taylor]: Taking taylor expansion of PI in n 9.397 * [taylor]: Taking taylor expansion of n in n 9.397 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.397 * [taylor]: Taking taylor expansion of -2.0 in n 9.397 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.397 * [taylor]: Taking taylor expansion of PI in n 9.397 * [taylor]: Taking taylor expansion of n in n 9.398 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 9.398 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 9.398 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 9.398 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 9.398 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 9.398 * [taylor]: Taking taylor expansion of 0.5 in n 9.398 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.398 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.398 * [taylor]: Taking taylor expansion of 2.0 in n 9.398 * [taylor]: Taking taylor expansion of (* n PI) in n 9.398 * [taylor]: Taking taylor expansion of n in n 9.398 * [taylor]: Taking taylor expansion of PI in n 9.399 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 9.399 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 9.399 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 9.399 * [taylor]: Taking taylor expansion of 0.5 in n 9.399 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.399 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.399 * [taylor]: Taking taylor expansion of 2.0 in n 9.399 * [taylor]: Taking taylor expansion of (* n PI) in n 9.399 * [taylor]: Taking taylor expansion of n in n 9.399 * [taylor]: Taking taylor expansion of PI in n 9.407 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 9.407 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 9.407 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 9.407 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 9.407 * [taylor]: Taking taylor expansion of 0.5 in n 9.408 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.408 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.408 * [taylor]: Taking taylor expansion of 2.0 in n 9.408 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.408 * [taylor]: Taking taylor expansion of PI in n 9.408 * [taylor]: Taking taylor expansion of n in n 9.408 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 9.408 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 9.408 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 9.408 * [taylor]: Taking taylor expansion of 0.5 in n 9.408 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.408 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.408 * [taylor]: Taking taylor expansion of 2.0 in n 9.408 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.408 * [taylor]: Taking taylor expansion of PI in n 9.408 * [taylor]: Taking taylor expansion of n in n 9.415 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 9.415 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 9.415 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 9.415 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 9.415 * [taylor]: Taking taylor expansion of 0.5 in n 9.415 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.415 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.415 * [taylor]: Taking taylor expansion of -2.0 in n 9.415 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.415 * [taylor]: Taking taylor expansion of PI in n 9.415 * [taylor]: Taking taylor expansion of n in n 9.416 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 9.416 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 9.416 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 9.416 * [taylor]: Taking taylor expansion of 0.5 in n 9.416 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.416 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.416 * [taylor]: Taking taylor expansion of -2.0 in n 9.416 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.416 * [taylor]: Taking taylor expansion of PI in n 9.416 * [taylor]: Taking taylor expansion of n in n 9.423 * * * [progress]: simplifying candidates 9.425 * [simplify]: Simplifying using # : (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (neg (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (- (+ (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (* NAN (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)))))))) (+ (* 0.5 (* (* k (* NAN (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (pow k 2) (* (pow NAN 3) (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))))))) (+ (* 1.0 (* (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (+ (* 1.0 (* (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))))) (+ (* 1.0 (* (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5)))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 9.435 * * [simplify]: iteration 0 : 939 enodes (cost 1410 ) 9.449 * * [simplify]: iteration 1 : 4082 enodes (cost 1188 ) 9.514 * * [simplify]: iteration 2 : 5002 enodes (cost 1188 ) 9.520 * [simplify]: Simplified to: (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (neg (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.25 (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (* 1.0 (* (pow k 2) (pow NAN 5)))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 NAN) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* NAN (log n)))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n))))))) (+ (* 1.0 (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5) (+ (* 1.0 (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* 1.0 (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))))) (* (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5) (+ (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)))) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 9.521 * * * [progress]: adding candidates to table 9.683 * * [progress]: iteration 3 / 4 9.683 * * * [progress]: picking best candidate 9.720 * * * * [pick]: Picked # 9.720 * * * [progress]: localizing error 9.738 * * * [progress]: generating rewritten candidates 9.738 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 9.749 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 9.752 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 9.757 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 9.766 * * * [progress]: generating series expansions 9.766 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 9.766 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in (k n) around 0 9.766 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 9.766 * [taylor]: Taking taylor expansion of 1.0 in n 9.766 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 9.766 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 9.766 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.766 * [taylor]: Taking taylor expansion of k in n 9.766 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 9.766 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 9.766 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 9.766 * [taylor]: Taking taylor expansion of 0.5 in n 9.766 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 9.766 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 9.766 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.766 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.766 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.766 * [taylor]: Taking taylor expansion of 1.0 in n 9.767 * [taylor]: Taking taylor expansion of (log PI) in n 9.767 * [taylor]: Taking taylor expansion of PI in n 9.767 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 9.767 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.767 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.767 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.767 * [taylor]: Taking taylor expansion of 1.0 in n 9.767 * [taylor]: Taking taylor expansion of (log n) in n 9.767 * [taylor]: Taking taylor expansion of n in n 9.767 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.767 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.767 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.767 * [taylor]: Taking taylor expansion of 1.0 in n 9.767 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.767 * [taylor]: Taking taylor expansion of 2.0 in n 9.768 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 9.768 * [taylor]: Taking taylor expansion of 1.0 in k 9.768 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 9.768 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.768 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.768 * [taylor]: Taking taylor expansion of k in k 9.768 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 9.768 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 9.768 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 9.768 * [taylor]: Taking taylor expansion of 0.5 in k 9.768 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 9.768 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 9.768 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.768 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.768 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.768 * [taylor]: Taking taylor expansion of 1.0 in k 9.768 * [taylor]: Taking taylor expansion of (log PI) in k 9.768 * [taylor]: Taking taylor expansion of PI in k 9.768 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 9.768 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.768 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.768 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.768 * [taylor]: Taking taylor expansion of 1.0 in k 9.768 * [taylor]: Taking taylor expansion of (log n) in k 9.768 * [taylor]: Taking taylor expansion of n in k 9.768 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 9.768 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 9.768 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 9.768 * [taylor]: Taking taylor expansion of 1.0 in k 9.768 * [taylor]: Taking taylor expansion of (log 2.0) in k 9.768 * [taylor]: Taking taylor expansion of 2.0 in k 9.769 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 9.769 * [taylor]: Taking taylor expansion of 1.0 in k 9.769 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 9.769 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.769 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.769 * [taylor]: Taking taylor expansion of k in k 9.769 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 9.769 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 9.769 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 9.769 * [taylor]: Taking taylor expansion of 0.5 in k 9.769 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 9.769 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 9.769 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.769 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.769 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.769 * [taylor]: Taking taylor expansion of 1.0 in k 9.770 * [taylor]: Taking taylor expansion of (log PI) in k 9.770 * [taylor]: Taking taylor expansion of PI in k 9.770 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 9.770 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.770 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.770 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.770 * [taylor]: Taking taylor expansion of 1.0 in k 9.770 * [taylor]: Taking taylor expansion of (log n) in k 9.770 * [taylor]: Taking taylor expansion of n in k 9.770 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 9.770 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 9.770 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 9.770 * [taylor]: Taking taylor expansion of 1.0 in k 9.770 * [taylor]: Taking taylor expansion of (log 2.0) in k 9.770 * [taylor]: Taking taylor expansion of 2.0 in k 9.771 * [taylor]: Taking taylor expansion of 0 in n 9.773 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 9.773 * [taylor]: Taking taylor expansion of 1.0 in n 9.773 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 9.773 * [taylor]: Taking taylor expansion of NAN in n 9.773 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 9.773 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 9.773 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 9.773 * [taylor]: Taking taylor expansion of 0.5 in n 9.773 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 9.773 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 9.773 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.773 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.773 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.773 * [taylor]: Taking taylor expansion of 1.0 in n 9.773 * [taylor]: Taking taylor expansion of (log PI) in n 9.773 * [taylor]: Taking taylor expansion of PI in n 9.773 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 9.773 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.773 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.773 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.773 * [taylor]: Taking taylor expansion of 1.0 in n 9.773 * [taylor]: Taking taylor expansion of (log n) in n 9.773 * [taylor]: Taking taylor expansion of n in n 9.774 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.774 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.774 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.774 * [taylor]: Taking taylor expansion of 1.0 in n 9.774 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.774 * [taylor]: Taking taylor expansion of 2.0 in n 9.778 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) in n 9.778 * [taylor]: Taking taylor expansion of 1.0 in n 9.778 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) in n 9.778 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 9.778 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 9.778 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 9.778 * [taylor]: Taking taylor expansion of 0.5 in n 9.778 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 9.778 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 9.778 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.778 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.778 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.778 * [taylor]: Taking taylor expansion of 1.0 in n 9.778 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.779 * [taylor]: Taking taylor expansion of 2.0 in n 9.779 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 9.779 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.779 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.779 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.779 * [taylor]: Taking taylor expansion of 1.0 in n 9.779 * [taylor]: Taking taylor expansion of (log n) in n 9.779 * [taylor]: Taking taylor expansion of n in n 9.779 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.779 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.779 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.779 * [taylor]: Taking taylor expansion of 1.0 in n 9.779 * [taylor]: Taking taylor expansion of (log PI) in n 9.779 * [taylor]: Taking taylor expansion of PI in n 9.780 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 9.780 * [taylor]: Taking taylor expansion of NAN in n 9.787 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 9.787 * [taylor]: Taking taylor expansion of 1.0 in n 9.787 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 9.787 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 9.787 * [taylor]: Taking taylor expansion of NAN in n 9.787 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 9.787 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 9.787 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 9.787 * [taylor]: Taking taylor expansion of 0.5 in n 9.787 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 9.787 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 9.787 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.787 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.787 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.787 * [taylor]: Taking taylor expansion of 1.0 in n 9.787 * [taylor]: Taking taylor expansion of (log PI) in n 9.787 * [taylor]: Taking taylor expansion of PI in n 9.787 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 9.787 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.787 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.787 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.787 * [taylor]: Taking taylor expansion of 1.0 in n 9.787 * [taylor]: Taking taylor expansion of (log n) in n 9.787 * [taylor]: Taking taylor expansion of n in n 9.787 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.787 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.787 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.787 * [taylor]: Taking taylor expansion of 1.0 in n 9.787 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.787 * [taylor]: Taking taylor expansion of 2.0 in n 9.790 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 9.790 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 9.790 * [taylor]: Taking taylor expansion of 1.0 in n 9.790 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 9.790 * [taylor]: Taking taylor expansion of (sqrt k) in n 9.790 * [taylor]: Taking taylor expansion of k in n 9.790 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 9.790 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 9.790 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 9.790 * [taylor]: Taking taylor expansion of 0.5 in n 9.790 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 9.790 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 9.790 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 9.790 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.790 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.790 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.790 * [taylor]: Taking taylor expansion of 1.0 in n 9.790 * [taylor]: Taking taylor expansion of (log PI) in n 9.790 * [taylor]: Taking taylor expansion of PI in n 9.791 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.791 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.791 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.791 * [taylor]: Taking taylor expansion of 1.0 in n 9.791 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.791 * [taylor]: Taking taylor expansion of 2.0 in n 9.791 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.791 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.791 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.791 * [taylor]: Taking taylor expansion of 1.0 in n 9.791 * [taylor]: Taking taylor expansion of (log n) in n 9.791 * [taylor]: Taking taylor expansion of n in n 9.792 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in k 9.792 * [taylor]: Taking taylor expansion of 1.0 in k 9.792 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 9.792 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.792 * [taylor]: Taking taylor expansion of k in k 9.792 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 9.792 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 9.792 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 9.792 * [taylor]: Taking taylor expansion of 0.5 in k 9.792 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 9.792 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 9.792 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 9.792 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.792 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.792 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.792 * [taylor]: Taking taylor expansion of 1.0 in k 9.792 * [taylor]: Taking taylor expansion of (log PI) in k 9.792 * [taylor]: Taking taylor expansion of PI in k 9.792 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 9.792 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 9.792 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 9.792 * [taylor]: Taking taylor expansion of 1.0 in k 9.792 * [taylor]: Taking taylor expansion of (log 2.0) in k 9.792 * [taylor]: Taking taylor expansion of 2.0 in k 9.792 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.792 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.792 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.792 * [taylor]: Taking taylor expansion of 1.0 in k 9.792 * [taylor]: Taking taylor expansion of (log n) in k 9.792 * [taylor]: Taking taylor expansion of n in k 9.793 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in k 9.793 * [taylor]: Taking taylor expansion of 1.0 in k 9.793 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 9.793 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.793 * [taylor]: Taking taylor expansion of k in k 9.793 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 9.793 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 9.793 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 9.793 * [taylor]: Taking taylor expansion of 0.5 in k 9.793 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 9.793 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 9.793 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 9.793 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.793 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.793 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.793 * [taylor]: Taking taylor expansion of 1.0 in k 9.793 * [taylor]: Taking taylor expansion of (log PI) in k 9.793 * [taylor]: Taking taylor expansion of PI in k 9.794 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 9.794 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 9.794 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 9.794 * [taylor]: Taking taylor expansion of 1.0 in k 9.794 * [taylor]: Taking taylor expansion of (log 2.0) in k 9.794 * [taylor]: Taking taylor expansion of 2.0 in k 9.794 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.794 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.794 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.794 * [taylor]: Taking taylor expansion of 1.0 in k 9.794 * [taylor]: Taking taylor expansion of (log n) in k 9.794 * [taylor]: Taking taylor expansion of n in k 9.795 * [taylor]: Taking taylor expansion of 0 in n 9.797 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) NAN)) in n 9.797 * [taylor]: Taking taylor expansion of 1.0 in n 9.797 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) NAN) in n 9.797 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.797 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.797 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.797 * [taylor]: Taking taylor expansion of 0.5 in n 9.797 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.797 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.797 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 9.797 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.797 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.797 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.797 * [taylor]: Taking taylor expansion of 1.0 in n 9.797 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.797 * [taylor]: Taking taylor expansion of 2.0 in n 9.797 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.797 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.797 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.797 * [taylor]: Taking taylor expansion of 1.0 in n 9.797 * [taylor]: Taking taylor expansion of (log PI) in n 9.797 * [taylor]: Taking taylor expansion of PI in n 9.798 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.798 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.798 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.798 * [taylor]: Taking taylor expansion of 1.0 in n 9.798 * [taylor]: Taking taylor expansion of (log n) in n 9.798 * [taylor]: Taking taylor expansion of n in n 9.799 * [taylor]: Taking taylor expansion of NAN in n 9.802 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 9.803 * [taylor]: Taking taylor expansion of 1.0 in n 9.803 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 9.803 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 9.803 * [taylor]: Taking taylor expansion of NAN in n 9.803 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 9.803 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 9.803 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 9.803 * [taylor]: Taking taylor expansion of 0.5 in n 9.803 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 9.803 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 9.803 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 9.803 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.803 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.803 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.803 * [taylor]: Taking taylor expansion of 1.0 in n 9.803 * [taylor]: Taking taylor expansion of (log PI) in n 9.803 * [taylor]: Taking taylor expansion of PI in n 9.803 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.803 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.803 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.803 * [taylor]: Taking taylor expansion of 1.0 in n 9.803 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.803 * [taylor]: Taking taylor expansion of 2.0 in n 9.803 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.803 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.803 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.803 * [taylor]: Taking taylor expansion of 1.0 in n 9.803 * [taylor]: Taking taylor expansion of (log n) in n 9.803 * [taylor]: Taking taylor expansion of n in n 9.814 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (pow NAN 5))) in n 9.814 * [taylor]: Taking taylor expansion of 1.0 in n 9.814 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (pow NAN 5)) in n 9.814 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.814 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.814 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.814 * [taylor]: Taking taylor expansion of 0.5 in n 9.814 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.814 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.814 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 9.814 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.814 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.814 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.814 * [taylor]: Taking taylor expansion of 1.0 in n 9.814 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.814 * [taylor]: Taking taylor expansion of 2.0 in n 9.815 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.815 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.815 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.815 * [taylor]: Taking taylor expansion of 1.0 in n 9.815 * [taylor]: Taking taylor expansion of (log PI) in n 9.815 * [taylor]: Taking taylor expansion of PI in n 9.815 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.815 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.815 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.815 * [taylor]: Taking taylor expansion of 1.0 in n 9.815 * [taylor]: Taking taylor expansion of (log n) in n 9.815 * [taylor]: Taking taylor expansion of n in n 9.816 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 9.816 * [taylor]: Taking taylor expansion of NAN in n 9.818 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 9.818 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 9.818 * [taylor]: Taking taylor expansion of 1.0 in n 9.818 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 9.818 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 9.818 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 9.818 * [taylor]: Taking taylor expansion of (/ -1 k) in n 9.818 * [taylor]: Taking taylor expansion of -1 in n 9.818 * [taylor]: Taking taylor expansion of k in n 9.818 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.818 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.818 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.818 * [taylor]: Taking taylor expansion of 0.5 in n 9.818 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.819 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.819 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 9.819 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 9.819 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 9.819 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 9.819 * [taylor]: Taking taylor expansion of 1.0 in n 9.819 * [taylor]: Taking taylor expansion of (log -2.0) in n 9.819 * [taylor]: Taking taylor expansion of -2.0 in n 9.819 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.819 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.819 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.819 * [taylor]: Taking taylor expansion of 1.0 in n 9.819 * [taylor]: Taking taylor expansion of (log PI) in n 9.819 * [taylor]: Taking taylor expansion of PI in n 9.819 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.819 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.819 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.819 * [taylor]: Taking taylor expansion of 1.0 in n 9.819 * [taylor]: Taking taylor expansion of (log n) in n 9.819 * [taylor]: Taking taylor expansion of n in n 9.820 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 9.820 * [taylor]: Taking taylor expansion of 1.0 in k 9.820 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 9.820 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 9.820 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.820 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.820 * [taylor]: Taking taylor expansion of -1 in k 9.820 * [taylor]: Taking taylor expansion of k in k 9.820 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 9.820 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 9.820 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 9.820 * [taylor]: Taking taylor expansion of 0.5 in k 9.820 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 9.820 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 9.820 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 9.820 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 9.820 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 9.820 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 9.820 * [taylor]: Taking taylor expansion of 1.0 in k 9.820 * [taylor]: Taking taylor expansion of (log -2.0) in k 9.820 * [taylor]: Taking taylor expansion of -2.0 in k 9.820 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.820 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.820 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.820 * [taylor]: Taking taylor expansion of 1.0 in k 9.820 * [taylor]: Taking taylor expansion of (log PI) in k 9.820 * [taylor]: Taking taylor expansion of PI in k 9.820 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.820 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.821 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.821 * [taylor]: Taking taylor expansion of 1.0 in k 9.821 * [taylor]: Taking taylor expansion of (log n) in k 9.821 * [taylor]: Taking taylor expansion of n in k 9.821 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 9.821 * [taylor]: Taking taylor expansion of 1.0 in k 9.821 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 9.821 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 9.821 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.821 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.821 * [taylor]: Taking taylor expansion of -1 in k 9.821 * [taylor]: Taking taylor expansion of k in k 9.822 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 9.822 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 9.822 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 9.822 * [taylor]: Taking taylor expansion of 0.5 in k 9.822 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 9.822 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 9.822 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 9.822 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 9.822 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 9.822 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 9.822 * [taylor]: Taking taylor expansion of 1.0 in k 9.822 * [taylor]: Taking taylor expansion of (log -2.0) in k 9.822 * [taylor]: Taking taylor expansion of -2.0 in k 9.822 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.822 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.822 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.822 * [taylor]: Taking taylor expansion of 1.0 in k 9.822 * [taylor]: Taking taylor expansion of (log PI) in k 9.822 * [taylor]: Taking taylor expansion of PI in k 9.822 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.822 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.822 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.822 * [taylor]: Taking taylor expansion of 1.0 in k 9.822 * [taylor]: Taking taylor expansion of (log n) in k 9.822 * [taylor]: Taking taylor expansion of n in k 9.823 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 NAN))) in n 9.823 * [taylor]: Taking taylor expansion of 1.0 in n 9.823 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 NAN)) in n 9.823 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.823 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.823 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.824 * [taylor]: Taking taylor expansion of 0.5 in n 9.824 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.824 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.824 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 9.824 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 9.824 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 9.824 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 9.824 * [taylor]: Taking taylor expansion of 1.0 in n 9.824 * [taylor]: Taking taylor expansion of (log -2.0) in n 9.824 * [taylor]: Taking taylor expansion of -2.0 in n 9.824 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.824 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.824 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.824 * [taylor]: Taking taylor expansion of 1.0 in n 9.824 * [taylor]: Taking taylor expansion of (log PI) in n 9.824 * [taylor]: Taking taylor expansion of PI in n 9.824 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.824 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.824 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.824 * [taylor]: Taking taylor expansion of 1.0 in n 9.824 * [taylor]: Taking taylor expansion of (log n) in n 9.824 * [taylor]: Taking taylor expansion of n in n 9.825 * [taylor]: Taking taylor expansion of (/ 1 NAN) in n 9.825 * [taylor]: Taking taylor expansion of NAN in n 9.828 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* NAN (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)))) in n 9.828 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 9.829 * [taylor]: Taking taylor expansion of 1.0 in n 9.829 * [taylor]: Taking taylor expansion of (* NAN (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 9.829 * [taylor]: Taking taylor expansion of NAN in n 9.829 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.829 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.829 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.829 * [taylor]: Taking taylor expansion of 0.5 in n 9.829 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.829 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.829 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 9.829 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 9.829 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 9.829 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 9.829 * [taylor]: Taking taylor expansion of 1.0 in n 9.829 * [taylor]: Taking taylor expansion of (log -2.0) in n 9.829 * [taylor]: Taking taylor expansion of -2.0 in n 9.829 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.829 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.829 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.829 * [taylor]: Taking taylor expansion of 1.0 in n 9.829 * [taylor]: Taking taylor expansion of (log PI) in n 9.829 * [taylor]: Taking taylor expansion of PI in n 9.829 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.829 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.829 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.829 * [taylor]: Taking taylor expansion of 1.0 in n 9.829 * [taylor]: Taking taylor expansion of (log n) in n 9.829 * [taylor]: Taking taylor expansion of n in n 9.836 * [taylor]: Taking taylor expansion of 0 in n 9.847 * [taylor]: Taking taylor expansion of 0 in n 9.847 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 9.847 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 9.847 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.847 * [taylor]: Taking taylor expansion of 1.0 in k 9.847 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.848 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.848 * [taylor]: Taking taylor expansion of k in k 9.848 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.848 * [taylor]: Taking taylor expansion of 1.0 in k 9.848 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.848 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.848 * [taylor]: Taking taylor expansion of k in k 9.849 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 9.849 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.849 * [taylor]: Taking taylor expansion of 1.0 in k 9.849 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.849 * [taylor]: Taking taylor expansion of k in k 9.849 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.849 * [taylor]: Taking taylor expansion of 1.0 in k 9.849 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.849 * [taylor]: Taking taylor expansion of k in k 9.850 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 9.850 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.850 * [taylor]: Taking taylor expansion of 1.0 in k 9.850 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.850 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.850 * [taylor]: Taking taylor expansion of -1 in k 9.850 * [taylor]: Taking taylor expansion of k in k 9.850 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.850 * [taylor]: Taking taylor expansion of 1.0 in k 9.850 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.850 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.850 * [taylor]: Taking taylor expansion of -1 in k 9.850 * [taylor]: Taking taylor expansion of k in k 9.855 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 9.855 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 9.855 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.855 * [taylor]: Taking taylor expansion of 2.0 in n 9.855 * [taylor]: Taking taylor expansion of (* n PI) in n 9.855 * [taylor]: Taking taylor expansion of n in n 9.855 * [taylor]: Taking taylor expansion of PI in n 9.855 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.855 * [taylor]: Taking taylor expansion of 2.0 in n 9.855 * [taylor]: Taking taylor expansion of (* n PI) in n 9.855 * [taylor]: Taking taylor expansion of n in n 9.855 * [taylor]: Taking taylor expansion of PI in n 9.856 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 9.856 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.856 * [taylor]: Taking taylor expansion of 2.0 in n 9.856 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.856 * [taylor]: Taking taylor expansion of PI in n 9.856 * [taylor]: Taking taylor expansion of n in n 9.856 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.856 * [taylor]: Taking taylor expansion of 2.0 in n 9.856 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.856 * [taylor]: Taking taylor expansion of PI in n 9.856 * [taylor]: Taking taylor expansion of n in n 9.857 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 9.857 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.857 * [taylor]: Taking taylor expansion of -2.0 in n 9.857 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.857 * [taylor]: Taking taylor expansion of PI in n 9.857 * [taylor]: Taking taylor expansion of n in n 9.857 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.857 * [taylor]: Taking taylor expansion of -2.0 in n 9.857 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.857 * [taylor]: Taking taylor expansion of PI in n 9.857 * [taylor]: Taking taylor expansion of n in n 9.858 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 9.858 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 9.858 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.858 * [taylor]: Taking taylor expansion of 2.0 in n 9.858 * [taylor]: Taking taylor expansion of (* n PI) in n 9.858 * [taylor]: Taking taylor expansion of n in n 9.858 * [taylor]: Taking taylor expansion of PI in n 9.858 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.858 * [taylor]: Taking taylor expansion of 2.0 in n 9.858 * [taylor]: Taking taylor expansion of (* n PI) in n 9.858 * [taylor]: Taking taylor expansion of n in n 9.858 * [taylor]: Taking taylor expansion of PI in n 9.859 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 9.859 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.859 * [taylor]: Taking taylor expansion of 2.0 in n 9.859 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.859 * [taylor]: Taking taylor expansion of PI in n 9.859 * [taylor]: Taking taylor expansion of n in n 9.859 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.859 * [taylor]: Taking taylor expansion of 2.0 in n 9.859 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.859 * [taylor]: Taking taylor expansion of PI in n 9.859 * [taylor]: Taking taylor expansion of n in n 9.860 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 9.860 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.860 * [taylor]: Taking taylor expansion of -2.0 in n 9.860 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.860 * [taylor]: Taking taylor expansion of PI in n 9.860 * [taylor]: Taking taylor expansion of n in n 9.860 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.860 * [taylor]: Taking taylor expansion of -2.0 in n 9.860 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.860 * [taylor]: Taking taylor expansion of PI in n 9.860 * [taylor]: Taking taylor expansion of n in n 9.861 * * * [progress]: simplifying candidates 9.863 * [simplify]: Simplifying using # : (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)))) (+ (* 1.0 (* (/ (pow NAN 5) (pow k 3)) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (+ (* 1.0 (* (/ NAN k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ (pow NAN 3) (pow k 2)) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))))) (+ (* 1.0 (* (/ NAN k) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ 1 NAN) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5)))) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (+ (* 1.0 NAN) (* 1.0 (* k (pow NAN 3))))) (+ (* 1.0 (/ (pow NAN 5) (pow k 3))) (+ (* 1.0 (/ (pow NAN 3) (pow k 2))) (* 1.0 (/ NAN k)))) (+ (* 1.0 (/ NAN k)) (* 1.0 (/ 1 NAN))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 9.871 * * [simplify]: iteration 0 : 621 enodes (cost 1038 ) 9.884 * * [simplify]: iteration 1 : 2688 enodes (cost 925 ) 9.928 * * [simplify]: iteration 2 : 5001 enodes (cost 915 ) 9.933 * [simplify]: Simplified to: (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt k)) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (* 1.0 (* k (pow NAN 3)))))) (+ (* 1.0 (* (/ (pow NAN 3) (pow k 2)) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5) (+ (* 1.0 (/ (pow NAN 5) (pow k 3))) (* 1.0 (/ NAN k))))) (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5) (* 1.0 (+ (/ NAN k) (/ 1 NAN)))) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 9.934 * * * [progress]: adding candidates to table 10.154 * * [progress]: iteration 4 / 4 10.154 * * * [progress]: picking best candidate 10.188 * * * * [pick]: Picked # 10.188 * * * [progress]: localizing error 10.210 * * * [progress]: generating rewritten candidates 10.210 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 10.219 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 10.235 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 10.240 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1 1) 10.250 * * * [progress]: generating series expansions 10.250 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 10.250 * [approximate]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in (n) around 0 10.250 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 10.250 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 10.250 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 10.250 * [taylor]: Taking taylor expansion of 0.5 in n 10.250 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 10.250 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 10.250 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.250 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.250 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.250 * [taylor]: Taking taylor expansion of 1.0 in n 10.250 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.250 * [taylor]: Taking taylor expansion of 2.0 in n 10.250 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 10.251 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.251 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.251 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.251 * [taylor]: Taking taylor expansion of 1.0 in n 10.251 * [taylor]: Taking taylor expansion of (log n) in n 10.251 * [taylor]: Taking taylor expansion of n in n 10.251 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.251 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.251 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.251 * [taylor]: Taking taylor expansion of 1.0 in n 10.251 * [taylor]: Taking taylor expansion of (log PI) in n 10.251 * [taylor]: Taking taylor expansion of PI in n 10.252 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 10.252 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 10.252 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 10.252 * [taylor]: Taking taylor expansion of 0.5 in n 10.252 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 10.252 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 10.252 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.252 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.252 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.252 * [taylor]: Taking taylor expansion of 1.0 in n 10.252 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.252 * [taylor]: Taking taylor expansion of 2.0 in n 10.252 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 10.252 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.252 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.252 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.252 * [taylor]: Taking taylor expansion of 1.0 in n 10.252 * [taylor]: Taking taylor expansion of (log n) in n 10.252 * [taylor]: Taking taylor expansion of n in n 10.252 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.252 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.252 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.252 * [taylor]: Taking taylor expansion of 1.0 in n 10.252 * [taylor]: Taking taylor expansion of (log PI) in n 10.252 * [taylor]: Taking taylor expansion of PI in n 10.284 * [approximate]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in (n) around 0 10.285 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 10.285 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 10.285 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 10.285 * [taylor]: Taking taylor expansion of 0.5 in n 10.285 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 10.285 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 10.285 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 10.285 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.285 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.285 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.285 * [taylor]: Taking taylor expansion of 1.0 in n 10.285 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.285 * [taylor]: Taking taylor expansion of 2.0 in n 10.285 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.285 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.285 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.285 * [taylor]: Taking taylor expansion of 1.0 in n 10.285 * [taylor]: Taking taylor expansion of (log PI) in n 10.285 * [taylor]: Taking taylor expansion of PI in n 10.285 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.285 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.285 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.285 * [taylor]: Taking taylor expansion of 1.0 in n 10.285 * [taylor]: Taking taylor expansion of (log n) in n 10.285 * [taylor]: Taking taylor expansion of n in n 10.286 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 10.286 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 10.286 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 10.286 * [taylor]: Taking taylor expansion of 0.5 in n 10.286 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 10.286 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 10.286 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 10.286 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.286 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.286 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.286 * [taylor]: Taking taylor expansion of 1.0 in n 10.286 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.286 * [taylor]: Taking taylor expansion of 2.0 in n 10.286 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.286 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.286 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.286 * [taylor]: Taking taylor expansion of 1.0 in n 10.286 * [taylor]: Taking taylor expansion of (log PI) in n 10.286 * [taylor]: Taking taylor expansion of PI in n 10.286 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.286 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.286 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.286 * [taylor]: Taking taylor expansion of 1.0 in n 10.286 * [taylor]: Taking taylor expansion of (log n) in n 10.286 * [taylor]: Taking taylor expansion of n in n 10.319 * [approximate]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in (n) around 0 10.319 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 10.319 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 10.319 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 10.319 * [taylor]: Taking taylor expansion of 0.5 in n 10.319 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 10.319 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 10.319 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 10.319 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 10.319 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 10.319 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 10.319 * [taylor]: Taking taylor expansion of 1.0 in n 10.319 * [taylor]: Taking taylor expansion of (log -2.0) in n 10.319 * [taylor]: Taking taylor expansion of -2.0 in n 10.319 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.319 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.319 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.319 * [taylor]: Taking taylor expansion of 1.0 in n 10.319 * [taylor]: Taking taylor expansion of (log PI) in n 10.319 * [taylor]: Taking taylor expansion of PI in n 10.319 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.319 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.319 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.319 * [taylor]: Taking taylor expansion of 1.0 in n 10.319 * [taylor]: Taking taylor expansion of (log n) in n 10.319 * [taylor]: Taking taylor expansion of n in n 10.320 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 10.320 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 10.320 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 10.320 * [taylor]: Taking taylor expansion of 0.5 in n 10.320 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 10.320 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 10.320 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 10.320 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 10.320 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 10.320 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 10.320 * [taylor]: Taking taylor expansion of 1.0 in n 10.320 * [taylor]: Taking taylor expansion of (log -2.0) in n 10.320 * [taylor]: Taking taylor expansion of -2.0 in n 10.321 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.321 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.321 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.321 * [taylor]: Taking taylor expansion of 1.0 in n 10.321 * [taylor]: Taking taylor expansion of (log PI) in n 10.321 * [taylor]: Taking taylor expansion of PI in n 10.321 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.321 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.321 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.321 * [taylor]: Taking taylor expansion of 1.0 in n 10.321 * [taylor]: Taking taylor expansion of (log n) in n 10.321 * [taylor]: Taking taylor expansion of n in n 10.354 * * * * [progress]: [ 2 / 4 ] generating series at (2) 10.355 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 10.355 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 10.355 * [taylor]: Taking taylor expansion of 1.0 in k 10.355 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 10.355 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.355 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.355 * [taylor]: Taking taylor expansion of k in k 10.355 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 10.355 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 10.355 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 10.355 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 10.355 * [taylor]: Taking taylor expansion of 0.5 in k 10.355 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 10.355 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 10.355 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 10.355 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 10.355 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 10.355 * [taylor]: Taking taylor expansion of 1.0 in k 10.355 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.355 * [taylor]: Taking taylor expansion of 2.0 in k 10.355 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 10.355 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 10.355 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 10.355 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 10.355 * [taylor]: Taking taylor expansion of 1.0 in k 10.355 * [taylor]: Taking taylor expansion of (log n) in k 10.355 * [taylor]: Taking taylor expansion of n in k 10.355 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 10.355 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 10.355 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 10.355 * [taylor]: Taking taylor expansion of 1.0 in k 10.355 * [taylor]: Taking taylor expansion of (log PI) in k 10.355 * [taylor]: Taking taylor expansion of PI in k 10.356 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 10.356 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 10.356 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 10.356 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 10.356 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 10.356 * [taylor]: Taking taylor expansion of 0.5 in k 10.356 * [taylor]: Taking taylor expansion of k in k 10.356 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 10.356 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 10.356 * [taylor]: Taking taylor expansion of 2.0 in k 10.356 * [taylor]: Taking taylor expansion of (* n PI) in k 10.356 * [taylor]: Taking taylor expansion of n in k 10.356 * [taylor]: Taking taylor expansion of PI in k 10.357 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 10.357 * [taylor]: Taking taylor expansion of 1.0 in n 10.357 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 10.357 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 10.357 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.357 * [taylor]: Taking taylor expansion of k in n 10.357 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 10.357 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 10.357 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 10.357 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 10.357 * [taylor]: Taking taylor expansion of 0.5 in n 10.357 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 10.357 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 10.357 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.357 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.357 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.357 * [taylor]: Taking taylor expansion of 1.0 in n 10.357 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.357 * [taylor]: Taking taylor expansion of 2.0 in n 10.357 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 10.357 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.357 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.357 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.357 * [taylor]: Taking taylor expansion of 1.0 in n 10.357 * [taylor]: Taking taylor expansion of (log n) in n 10.357 * [taylor]: Taking taylor expansion of n in n 10.357 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.357 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.357 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.357 * [taylor]: Taking taylor expansion of 1.0 in n 10.357 * [taylor]: Taking taylor expansion of (log PI) in n 10.357 * [taylor]: Taking taylor expansion of PI in n 10.358 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 10.358 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 10.358 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 10.358 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 10.358 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 10.358 * [taylor]: Taking taylor expansion of 0.5 in n 10.358 * [taylor]: Taking taylor expansion of k in n 10.358 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 10.358 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.358 * [taylor]: Taking taylor expansion of 2.0 in n 10.358 * [taylor]: Taking taylor expansion of (* n PI) in n 10.358 * [taylor]: Taking taylor expansion of n in n 10.358 * [taylor]: Taking taylor expansion of PI in n 10.359 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 10.359 * [taylor]: Taking taylor expansion of 1.0 in n 10.359 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 10.359 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 10.359 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.359 * [taylor]: Taking taylor expansion of k in n 10.359 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 10.359 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 10.359 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 10.359 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 10.359 * [taylor]: Taking taylor expansion of 0.5 in n 10.359 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 10.359 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 10.359 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.359 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.359 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.359 * [taylor]: Taking taylor expansion of 1.0 in n 10.359 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.359 * [taylor]: Taking taylor expansion of 2.0 in n 10.359 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 10.359 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.359 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.359 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.359 * [taylor]: Taking taylor expansion of 1.0 in n 10.359 * [taylor]: Taking taylor expansion of (log n) in n 10.359 * [taylor]: Taking taylor expansion of n in n 10.360 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.360 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.360 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.360 * [taylor]: Taking taylor expansion of 1.0 in n 10.360 * [taylor]: Taking taylor expansion of (log PI) in n 10.360 * [taylor]: Taking taylor expansion of PI in n 10.360 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 10.360 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 10.360 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 10.360 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 10.360 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 10.361 * [taylor]: Taking taylor expansion of 0.5 in n 10.361 * [taylor]: Taking taylor expansion of k in n 10.361 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 10.361 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.361 * [taylor]: Taking taylor expansion of 2.0 in n 10.361 * [taylor]: Taking taylor expansion of (* n PI) in n 10.361 * [taylor]: Taking taylor expansion of n in n 10.361 * [taylor]: Taking taylor expansion of PI in n 10.362 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)))) in k 10.362 * [taylor]: Taking taylor expansion of 1.0 in k 10.362 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 10.362 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.362 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.362 * [taylor]: Taking taylor expansion of k in k 10.362 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 10.362 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 10.362 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 10.362 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 10.362 * [taylor]: Taking taylor expansion of 0.5 in k 10.362 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 10.362 * [taylor]: Taking taylor expansion of k in k 10.362 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 10.362 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.362 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.362 * [taylor]: Taking taylor expansion of 2.0 in k 10.362 * [taylor]: Taking taylor expansion of PI in k 10.362 * [taylor]: Taking taylor expansion of (log n) in k 10.362 * [taylor]: Taking taylor expansion of n in k 10.363 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 10.363 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 10.363 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 10.363 * [taylor]: Taking taylor expansion of 0.5 in k 10.363 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 10.363 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 10.363 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 10.363 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 10.363 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 10.363 * [taylor]: Taking taylor expansion of 1.0 in k 10.363 * [taylor]: Taking taylor expansion of (log PI) in k 10.363 * [taylor]: Taking taylor expansion of PI in k 10.363 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 10.363 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 10.363 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 10.363 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 10.363 * [taylor]: Taking taylor expansion of 1.0 in k 10.363 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 10.363 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 10.363 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 10.363 * [taylor]: Taking taylor expansion of 1.0 in k 10.363 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 10.363 * [taylor]: Taking taylor expansion of (log 1) in k 10.363 * [taylor]: Taking taylor expansion of 1 in k 10.363 * [taylor]: Taking taylor expansion of (log n) in k 10.363 * [taylor]: Taking taylor expansion of n in k 10.364 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 10.364 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 10.364 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 10.364 * [taylor]: Taking taylor expansion of 1.0 in k 10.364 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.364 * [taylor]: Taking taylor expansion of 2.0 in k 10.368 * [taylor]: Taking taylor expansion of 0 in k 10.376 * [taylor]: Taking taylor expansion of 0 in k 10.390 * [taylor]: Taking taylor expansion of 0 in k 10.413 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 10.413 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 10.413 * [taylor]: Taking taylor expansion of 1.0 in k 10.413 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 10.413 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.413 * [taylor]: Taking taylor expansion of k in k 10.413 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 10.413 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 10.413 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 10.413 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 10.413 * [taylor]: Taking taylor expansion of 0.5 in k 10.414 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 10.414 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 10.414 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 10.414 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 10.414 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 10.414 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 10.414 * [taylor]: Taking taylor expansion of 1.0 in k 10.414 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.414 * [taylor]: Taking taylor expansion of 2.0 in k 10.414 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 10.414 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 10.414 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 10.414 * [taylor]: Taking taylor expansion of 1.0 in k 10.414 * [taylor]: Taking taylor expansion of (log PI) in k 10.414 * [taylor]: Taking taylor expansion of PI in k 10.414 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 10.414 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 10.414 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 10.414 * [taylor]: Taking taylor expansion of 1.0 in k 10.414 * [taylor]: Taking taylor expansion of (log n) in k 10.414 * [taylor]: Taking taylor expansion of n in k 10.415 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 10.415 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 10.415 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 10.415 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 10.415 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 10.415 * [taylor]: Taking taylor expansion of 0.5 in k 10.415 * [taylor]: Taking taylor expansion of k in k 10.415 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 10.415 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 10.415 * [taylor]: Taking taylor expansion of 2.0 in k 10.415 * [taylor]: Taking taylor expansion of (/ PI n) in k 10.415 * [taylor]: Taking taylor expansion of PI in k 10.415 * [taylor]: Taking taylor expansion of n in k 10.415 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 10.415 * [taylor]: Taking taylor expansion of 1.0 in n 10.415 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 10.415 * [taylor]: Taking taylor expansion of (sqrt k) in n 10.415 * [taylor]: Taking taylor expansion of k in n 10.415 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 10.415 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 10.415 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 10.415 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 10.415 * [taylor]: Taking taylor expansion of 0.5 in n 10.415 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 10.415 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 10.415 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 10.415 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.416 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.416 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.416 * [taylor]: Taking taylor expansion of 1.0 in n 10.416 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.416 * [taylor]: Taking taylor expansion of 2.0 in n 10.416 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.416 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.416 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.416 * [taylor]: Taking taylor expansion of 1.0 in n 10.416 * [taylor]: Taking taylor expansion of (log PI) in n 10.416 * [taylor]: Taking taylor expansion of PI in n 10.416 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.416 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.416 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.416 * [taylor]: Taking taylor expansion of 1.0 in n 10.416 * [taylor]: Taking taylor expansion of (log n) in n 10.416 * [taylor]: Taking taylor expansion of n in n 10.417 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 10.417 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 10.417 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 10.417 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 10.417 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 10.417 * [taylor]: Taking taylor expansion of 0.5 in n 10.417 * [taylor]: Taking taylor expansion of k in n 10.417 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 10.417 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.417 * [taylor]: Taking taylor expansion of 2.0 in n 10.417 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.417 * [taylor]: Taking taylor expansion of PI in n 10.417 * [taylor]: Taking taylor expansion of n in n 10.417 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 10.417 * [taylor]: Taking taylor expansion of 1.0 in n 10.417 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 10.417 * [taylor]: Taking taylor expansion of (sqrt k) in n 10.417 * [taylor]: Taking taylor expansion of k in n 10.417 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 10.417 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 10.417 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 10.417 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 10.417 * [taylor]: Taking taylor expansion of 0.5 in n 10.418 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 10.418 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 10.418 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 10.418 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.418 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.418 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.418 * [taylor]: Taking taylor expansion of 1.0 in n 10.418 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.418 * [taylor]: Taking taylor expansion of 2.0 in n 10.418 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.418 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.418 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.418 * [taylor]: Taking taylor expansion of 1.0 in n 10.418 * [taylor]: Taking taylor expansion of (log PI) in n 10.418 * [taylor]: Taking taylor expansion of PI in n 10.418 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.418 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.418 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.418 * [taylor]: Taking taylor expansion of 1.0 in n 10.418 * [taylor]: Taking taylor expansion of (log n) in n 10.418 * [taylor]: Taking taylor expansion of n in n 10.419 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 10.419 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 10.419 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 10.419 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 10.419 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 10.419 * [taylor]: Taking taylor expansion of 0.5 in n 10.419 * [taylor]: Taking taylor expansion of k in n 10.419 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 10.419 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.419 * [taylor]: Taking taylor expansion of 2.0 in n 10.419 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.419 * [taylor]: Taking taylor expansion of PI in n 10.419 * [taylor]: Taking taylor expansion of n in n 10.420 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)))) in k 10.420 * [taylor]: Taking taylor expansion of 1.0 in k 10.420 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 10.420 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.420 * [taylor]: Taking taylor expansion of k in k 10.420 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 10.420 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 10.420 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 10.420 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 10.420 * [taylor]: Taking taylor expansion of 0.5 in k 10.421 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 10.421 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 10.421 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.421 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.421 * [taylor]: Taking taylor expansion of 2.0 in k 10.421 * [taylor]: Taking taylor expansion of PI in k 10.421 * [taylor]: Taking taylor expansion of (log n) in k 10.421 * [taylor]: Taking taylor expansion of n in k 10.421 * [taylor]: Taking taylor expansion of k in k 10.421 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 10.421 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 10.421 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 10.421 * [taylor]: Taking taylor expansion of 0.5 in k 10.421 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 10.421 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 10.421 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 10.421 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 10.421 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 10.421 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 10.421 * [taylor]: Taking taylor expansion of 1.0 in k 10.421 * [taylor]: Taking taylor expansion of (log PI) in k 10.421 * [taylor]: Taking taylor expansion of PI in k 10.421 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 10.421 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 10.421 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 10.421 * [taylor]: Taking taylor expansion of 1.0 in k 10.421 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.421 * [taylor]: Taking taylor expansion of 2.0 in k 10.421 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 10.421 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 10.421 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 10.421 * [taylor]: Taking taylor expansion of 1.0 in k 10.421 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 10.422 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 10.422 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 10.422 * [taylor]: Taking taylor expansion of 1.0 in k 10.422 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 10.422 * [taylor]: Taking taylor expansion of (log 1) in k 10.422 * [taylor]: Taking taylor expansion of 1 in k 10.422 * [taylor]: Taking taylor expansion of (log n) in k 10.422 * [taylor]: Taking taylor expansion of n in k 10.426 * [taylor]: Taking taylor expansion of 0 in k 10.436 * [taylor]: Taking taylor expansion of 0 in k 10.447 * [taylor]: Taking taylor expansion of 0 in k 10.456 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 10.456 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 10.456 * [taylor]: Taking taylor expansion of 1.0 in k 10.456 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 10.456 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 10.456 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 10.456 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.456 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.456 * [taylor]: Taking taylor expansion of -1 in k 10.456 * [taylor]: Taking taylor expansion of k in k 10.456 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 10.456 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 10.456 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 10.456 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 10.456 * [taylor]: Taking taylor expansion of -0.5 in k 10.456 * [taylor]: Taking taylor expansion of k in k 10.456 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 10.456 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 10.456 * [taylor]: Taking taylor expansion of -2.0 in k 10.456 * [taylor]: Taking taylor expansion of (/ PI n) in k 10.456 * [taylor]: Taking taylor expansion of PI in k 10.456 * [taylor]: Taking taylor expansion of n in k 10.457 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 10.457 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 10.457 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 10.457 * [taylor]: Taking taylor expansion of 0.5 in k 10.457 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 10.457 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 10.457 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 10.457 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 10.457 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 10.457 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 10.457 * [taylor]: Taking taylor expansion of 1.0 in k 10.457 * [taylor]: Taking taylor expansion of (log -2.0) in k 10.457 * [taylor]: Taking taylor expansion of -2.0 in k 10.457 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 10.457 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 10.457 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 10.457 * [taylor]: Taking taylor expansion of 1.0 in k 10.457 * [taylor]: Taking taylor expansion of (log PI) in k 10.457 * [taylor]: Taking taylor expansion of PI in k 10.457 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 10.457 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 10.457 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 10.457 * [taylor]: Taking taylor expansion of 1.0 in k 10.457 * [taylor]: Taking taylor expansion of (log n) in k 10.457 * [taylor]: Taking taylor expansion of n in k 10.458 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 10.458 * [taylor]: Taking taylor expansion of 1.0 in n 10.458 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 10.458 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 10.458 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 10.458 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 10.458 * [taylor]: Taking taylor expansion of (/ -1 k) in n 10.458 * [taylor]: Taking taylor expansion of -1 in n 10.458 * [taylor]: Taking taylor expansion of k in n 10.458 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 10.458 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 10.458 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 10.458 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 10.458 * [taylor]: Taking taylor expansion of -0.5 in n 10.458 * [taylor]: Taking taylor expansion of k in n 10.458 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 10.458 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.458 * [taylor]: Taking taylor expansion of -2.0 in n 10.458 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.458 * [taylor]: Taking taylor expansion of PI in n 10.458 * [taylor]: Taking taylor expansion of n in n 10.459 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 10.459 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 10.459 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 10.459 * [taylor]: Taking taylor expansion of 0.5 in n 10.459 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 10.459 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 10.459 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 10.459 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 10.459 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 10.459 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 10.459 * [taylor]: Taking taylor expansion of 1.0 in n 10.459 * [taylor]: Taking taylor expansion of (log -2.0) in n 10.459 * [taylor]: Taking taylor expansion of -2.0 in n 10.459 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.459 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.459 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.459 * [taylor]: Taking taylor expansion of 1.0 in n 10.459 * [taylor]: Taking taylor expansion of (log PI) in n 10.459 * [taylor]: Taking taylor expansion of PI in n 10.459 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.459 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.459 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.459 * [taylor]: Taking taylor expansion of 1.0 in n 10.459 * [taylor]: Taking taylor expansion of (log n) in n 10.459 * [taylor]: Taking taylor expansion of n in n 10.460 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 10.460 * [taylor]: Taking taylor expansion of 1.0 in n 10.460 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 10.460 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 10.460 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 10.460 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 10.460 * [taylor]: Taking taylor expansion of (/ -1 k) in n 10.460 * [taylor]: Taking taylor expansion of -1 in n 10.460 * [taylor]: Taking taylor expansion of k in n 10.460 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 10.461 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 10.461 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 10.461 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 10.461 * [taylor]: Taking taylor expansion of -0.5 in n 10.461 * [taylor]: Taking taylor expansion of k in n 10.461 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 10.461 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.461 * [taylor]: Taking taylor expansion of -2.0 in n 10.461 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.461 * [taylor]: Taking taylor expansion of PI in n 10.461 * [taylor]: Taking taylor expansion of n in n 10.461 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 10.461 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 10.461 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 10.461 * [taylor]: Taking taylor expansion of 0.5 in n 10.461 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 10.461 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 10.461 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 10.461 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 10.461 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 10.461 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 10.461 * [taylor]: Taking taylor expansion of 1.0 in n 10.461 * [taylor]: Taking taylor expansion of (log -2.0) in n 10.461 * [taylor]: Taking taylor expansion of -2.0 in n 10.461 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.461 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.461 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.461 * [taylor]: Taking taylor expansion of 1.0 in n 10.461 * [taylor]: Taking taylor expansion of (log PI) in n 10.461 * [taylor]: Taking taylor expansion of PI in n 10.462 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.462 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.462 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.462 * [taylor]: Taking taylor expansion of 1.0 in n 10.462 * [taylor]: Taking taylor expansion of (log n) in n 10.462 * [taylor]: Taking taylor expansion of n in n 10.463 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 10.463 * [taylor]: Taking taylor expansion of 1.0 in k 10.463 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 10.463 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 10.463 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 10.463 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 10.463 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 10.463 * [taylor]: Taking taylor expansion of -0.5 in k 10.463 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 10.463 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 10.463 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 10.463 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 10.463 * [taylor]: Taking taylor expansion of -2.0 in k 10.463 * [taylor]: Taking taylor expansion of PI in k 10.463 * [taylor]: Taking taylor expansion of (log n) in k 10.463 * [taylor]: Taking taylor expansion of n in k 10.464 * [taylor]: Taking taylor expansion of k in k 10.464 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.464 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.464 * [taylor]: Taking taylor expansion of -1 in k 10.464 * [taylor]: Taking taylor expansion of k in k 10.464 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 10.464 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 10.464 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 10.464 * [taylor]: Taking taylor expansion of 0.5 in k 10.464 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 10.464 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 10.464 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 10.464 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 10.464 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 10.464 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 10.464 * [taylor]: Taking taylor expansion of 1.0 in k 10.464 * [taylor]: Taking taylor expansion of (log -2.0) in k 10.464 * [taylor]: Taking taylor expansion of -2.0 in k 10.464 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 10.464 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 10.464 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 10.464 * [taylor]: Taking taylor expansion of 1.0 in k 10.464 * [taylor]: Taking taylor expansion of (log PI) in k 10.464 * [taylor]: Taking taylor expansion of PI in k 10.465 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 10.465 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 10.465 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 10.465 * [taylor]: Taking taylor expansion of 1.0 in k 10.465 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 10.465 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 10.465 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 10.465 * [taylor]: Taking taylor expansion of 1.0 in k 10.465 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 10.465 * [taylor]: Taking taylor expansion of (log 1) in k 10.465 * [taylor]: Taking taylor expansion of 1 in k 10.465 * [taylor]: Taking taylor expansion of (log n) in k 10.465 * [taylor]: Taking taylor expansion of n in k 10.470 * [taylor]: Taking taylor expansion of 0 in k 10.478 * [taylor]: Taking taylor expansion of 0 in k 10.489 * [taylor]: Taking taylor expansion of 0 in k 10.490 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 10.490 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 10.490 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.490 * [taylor]: Taking taylor expansion of 2.0 in n 10.490 * [taylor]: Taking taylor expansion of (* n PI) in n 10.490 * [taylor]: Taking taylor expansion of n in n 10.490 * [taylor]: Taking taylor expansion of PI in n 10.490 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.490 * [taylor]: Taking taylor expansion of 2.0 in n 10.490 * [taylor]: Taking taylor expansion of (* n PI) in n 10.490 * [taylor]: Taking taylor expansion of n in n 10.490 * [taylor]: Taking taylor expansion of PI in n 10.491 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 10.491 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.491 * [taylor]: Taking taylor expansion of 2.0 in n 10.491 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.491 * [taylor]: Taking taylor expansion of PI in n 10.491 * [taylor]: Taking taylor expansion of n in n 10.491 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.491 * [taylor]: Taking taylor expansion of 2.0 in n 10.491 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.491 * [taylor]: Taking taylor expansion of PI in n 10.491 * [taylor]: Taking taylor expansion of n in n 10.492 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 10.492 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.492 * [taylor]: Taking taylor expansion of -2.0 in n 10.492 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.492 * [taylor]: Taking taylor expansion of PI in n 10.492 * [taylor]: Taking taylor expansion of n in n 10.492 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.492 * [taylor]: Taking taylor expansion of -2.0 in n 10.492 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.492 * [taylor]: Taking taylor expansion of PI in n 10.492 * [taylor]: Taking taylor expansion of n in n 10.493 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1 1) 10.493 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 10.493 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.493 * [taylor]: Taking taylor expansion of 2.0 in n 10.493 * [taylor]: Taking taylor expansion of (* n PI) in n 10.493 * [taylor]: Taking taylor expansion of n in n 10.493 * [taylor]: Taking taylor expansion of PI in n 10.493 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.493 * [taylor]: Taking taylor expansion of 2.0 in n 10.493 * [taylor]: Taking taylor expansion of (* n PI) in n 10.493 * [taylor]: Taking taylor expansion of n in n 10.493 * [taylor]: Taking taylor expansion of PI in n 10.494 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 10.494 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.494 * [taylor]: Taking taylor expansion of 2.0 in n 10.494 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.494 * [taylor]: Taking taylor expansion of PI in n 10.494 * [taylor]: Taking taylor expansion of n in n 10.494 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.494 * [taylor]: Taking taylor expansion of 2.0 in n 10.494 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.494 * [taylor]: Taking taylor expansion of PI in n 10.494 * [taylor]: Taking taylor expansion of n in n 10.495 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 10.495 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.495 * [taylor]: Taking taylor expansion of -2.0 in n 10.495 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.495 * [taylor]: Taking taylor expansion of PI in n 10.495 * [taylor]: Taking taylor expansion of n in n 10.495 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.495 * [taylor]: Taking taylor expansion of -2.0 in n 10.495 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.495 * [taylor]: Taking taylor expansion of PI in n 10.495 * [taylor]: Taking taylor expansion of n in n 10.496 * * * [progress]: simplifying candidates 10.498 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1 1) (+ (/ (/ 1.0 2.0) 2) (/ (/ 1.0 2.0) 2)) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (+ 1 1) (+ (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (log (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (exp (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (* (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (cbrt (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (cbrt (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (* (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (sqrt (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (* (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* 2.0 PI) (/ 1.0 2.0))) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0)))) (* (sqrt (pow n (/ 1.0 2.0))) (sqrt (pow n (/ 1.0 2.0)))) (* (sqrt (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (sqrt (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* (sqrt (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* 1 1) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* 2 1/2) (* 2 1) (* 2 (/ (/ 1.0 2.0) 2)) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt 1)) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 1) (* (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (pow n (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log 1.0) (+ (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (+ (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (+ (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (+ (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (+ (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (+ (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (neg (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (pow (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) (exp (* 1.0 (+ (log 1) (log n))))) 0.5) (pow (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) (/ 1 (exp (* 1.0 (+ (log 1) (log (/ 1 n))))))) 0.5) (pow (* (/ 1 (exp (* 1.0 (+ (log 1) (log (/ -1 n)))))) (pow (* (pow -2.0 1.0) (pow PI 1.0)) 1.0)) 0.5) (- (+ (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (* NAN (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)))))))) (+ (* 0.5 (* (* k (* NAN (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (pow k 2) (* (pow NAN 3) (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))))))) (+ (* 1.0 (* (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (+ (* 1.0 (* (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))))) (+ (* 1.0 (* (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5)))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 10.511 * * [simplify]: iteration 0 : 914 enodes (cost 1861 ) 10.527 * * [simplify]: iteration 1 : 4641 enodes (cost 1418 ) 10.613 * * [simplify]: iteration 2 : 5001 enodes (cost 1398 ) 10.620 * [simplify]: Simplified to: 1 2 (* 2 (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (* 2 (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) 2 (* (/ 1.0 2.0) (log (* 2.0 (* n PI)))) (* (/ 1.0 2.0) (log (* 2.0 (* n PI)))) (pow (exp 1) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (pow (* (* 2.0 PI) n) (* 2 (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) 4) (* (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 1 2 (* 2 (/ (/ 1.0 2.0) 2)) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0)))) (* (fabs (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (pow (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (pow n (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) 3) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (pow (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) 3) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (pow (exp (/ 1.0 (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt k))) (/ (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (/ (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow 1.0 3))) (/ (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (/ (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow 1.0 3))) (/ (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (/ (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow 1.0 3))) (/ (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (/ (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow 1.0 3))) (/ (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (/ (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow 1.0 3))) (/ (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (/ (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow 1.0 3))) (* (cbrt (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (/ (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow 1.0 3))) (sqrt (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (neg 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt k) 1.0) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt k))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (pow (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) (exp (* 1.0 (+ (log 1) (log n))))) 0.5) (pow (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) (/ 1 (exp (* 1.0 (+ (log 1) (log (/ 1 n))))))) 0.5) (pow (* (/ 1 (exp (* 1.0 (+ (log 1) (log (/ -1 n)))))) (pow (* (pow -2.0 1.0) (pow PI 1.0)) 1.0)) 0.5) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.25 (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (* 1.0 (* (pow k 2) (pow NAN 5)))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 NAN) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* NAN (log n)))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n))))))) (+ (* 1.0 (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5) (+ (* 1.0 (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* 1.0 (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))))) (* (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5) (+ (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)))) 1.0) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 10.623 * * * [progress]: adding candidates to table 10.865 * [progress]: [Phase 3 of 3] Extracting. 10.865 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 10.868 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 10.868 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 10.939 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # # #) 11.021 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 11.090 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 11.161 * * * [regime]: Found split indices: #