18.470 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 8.684 * * * [progress]: [2/2] Setting up program. 8.687 * [progress]: [Phase 2 of 3] Improving. 8.687 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 8.690 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 8.692 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 8.694 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 8.696 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 8.702 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 8.725 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 8.725 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 8.726 * * [progress]: iteration 1 / 4 8.726 * * * [progress]: picking best candidate 8.729 * * * * [pick]: Picked # 8.729 * * * [progress]: localizing error 8.743 * * * [progress]: generating rewritten candidates 8.743 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.752 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 8.763 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 8.767 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 8.777 * * * [progress]: generating series expansions 8.777 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.777 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 8.778 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.778 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.778 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.778 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.778 * [taylor]: Taking taylor expansion of 0.5 in k 8.778 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.778 * [taylor]: Taking taylor expansion of 1.0 in k 8.778 * [taylor]: Taking taylor expansion of k in k 8.778 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.778 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.778 * [taylor]: Taking taylor expansion of 2.0 in k 8.778 * [taylor]: Taking taylor expansion of (* n PI) in k 8.778 * [taylor]: Taking taylor expansion of n in k 8.778 * [taylor]: Taking taylor expansion of PI in k 8.778 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.778 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.778 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.778 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.778 * [taylor]: Taking taylor expansion of 0.5 in n 8.778 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.778 * [taylor]: Taking taylor expansion of 1.0 in n 8.778 * [taylor]: Taking taylor expansion of k in n 8.778 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.778 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.778 * [taylor]: Taking taylor expansion of 2.0 in n 8.778 * [taylor]: Taking taylor expansion of (* n PI) in n 8.778 * [taylor]: Taking taylor expansion of n in n 8.778 * [taylor]: Taking taylor expansion of PI in n 8.778 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.779 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.779 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.779 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.779 * [taylor]: Taking taylor expansion of 0.5 in n 8.779 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.779 * [taylor]: Taking taylor expansion of 1.0 in n 8.779 * [taylor]: Taking taylor expansion of k in n 8.779 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.779 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.779 * [taylor]: Taking taylor expansion of 2.0 in n 8.779 * [taylor]: Taking taylor expansion of (* n PI) in n 8.779 * [taylor]: Taking taylor expansion of n in n 8.779 * [taylor]: Taking taylor expansion of PI in n 8.779 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 8.779 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 8.779 * [taylor]: Taking taylor expansion of 0.5 in k 8.779 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 8.779 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.779 * [taylor]: Taking taylor expansion of 1.0 in k 8.779 * [taylor]: Taking taylor expansion of k in k 8.779 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 8.779 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.779 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.779 * [taylor]: Taking taylor expansion of 2.0 in k 8.779 * [taylor]: Taking taylor expansion of PI in k 8.779 * [taylor]: Taking taylor expansion of (log n) in k 8.779 * [taylor]: Taking taylor expansion of n in k 8.780 * [taylor]: Taking taylor expansion of 0 in k 8.782 * [taylor]: Taking taylor expansion of 0 in k 8.784 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.784 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.784 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.784 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.784 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.784 * [taylor]: Taking taylor expansion of 0.5 in k 8.784 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.784 * [taylor]: Taking taylor expansion of 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 (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 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.784 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.784 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.785 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.785 * [taylor]: Taking taylor expansion of 0.5 in n 8.785 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.785 * [taylor]: Taking taylor expansion of 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 (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 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.785 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.785 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.785 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.785 * [taylor]: Taking taylor expansion of 0.5 in n 8.785 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.785 * [taylor]: Taking taylor expansion of 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 (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 8.786 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 8.786 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 8.786 * [taylor]: Taking taylor expansion of 0.5 in k 8.786 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 8.786 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 8.786 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.786 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.786 * [taylor]: Taking taylor expansion of 2.0 in k 8.786 * [taylor]: Taking taylor expansion of PI in k 8.786 * [taylor]: Taking taylor expansion of (log n) in k 8.786 * [taylor]: Taking taylor expansion of n in k 8.786 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.786 * [taylor]: Taking taylor expansion of 1.0 in k 8.786 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.786 * [taylor]: Taking taylor expansion of k in k 8.791 * [taylor]: Taking taylor expansion of 0 in k 8.791 * [taylor]: Taking taylor expansion of 0 in k 8.793 * [taylor]: Taking taylor expansion of 0 in k 8.793 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.793 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.793 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.793 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.793 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.793 * [taylor]: Taking taylor expansion of 0.5 in k 8.793 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.793 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.793 * [taylor]: Taking taylor expansion of k in k 8.793 * [taylor]: Taking taylor expansion of 1.0 in k 8.793 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.793 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.793 * [taylor]: Taking taylor expansion of -2.0 in k 8.793 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.793 * [taylor]: Taking taylor expansion of PI in k 8.793 * [taylor]: Taking taylor expansion of n in k 8.793 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.793 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.793 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.793 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.793 * [taylor]: Taking taylor expansion of 0.5 in n 8.793 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.793 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.794 * [taylor]: Taking taylor expansion of k in n 8.794 * [taylor]: Taking taylor expansion of 1.0 in n 8.794 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.794 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.794 * [taylor]: Taking taylor expansion of -2.0 in n 8.794 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.794 * [taylor]: Taking taylor expansion of PI in n 8.794 * [taylor]: Taking taylor expansion of n in n 8.794 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.794 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.794 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.794 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.794 * [taylor]: Taking taylor expansion of 0.5 in n 8.794 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.794 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.794 * [taylor]: Taking taylor expansion of k in n 8.794 * [taylor]: Taking taylor expansion of 1.0 in n 8.794 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.794 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.794 * [taylor]: Taking taylor expansion of -2.0 in n 8.794 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.794 * [taylor]: Taking taylor expansion of PI in n 8.794 * [taylor]: Taking taylor expansion of n in n 8.795 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 8.795 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 8.795 * [taylor]: Taking taylor expansion of 0.5 in k 8.795 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 8.795 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.795 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.795 * [taylor]: Taking taylor expansion of k in k 8.795 * [taylor]: Taking taylor expansion of 1.0 in k 8.795 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 8.795 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 8.795 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 8.795 * [taylor]: Taking taylor expansion of -2.0 in k 8.795 * [taylor]: Taking taylor expansion of PI in k 8.795 * [taylor]: Taking taylor expansion of (log n) in k 8.795 * [taylor]: Taking taylor expansion of n in k 8.796 * [taylor]: Taking taylor expansion of 0 in k 8.797 * [taylor]: Taking taylor expansion of 0 in k 8.798 * [taylor]: Taking taylor expansion of 0 in k 8.798 * * * * [progress]: [ 2 / 4 ] generating series at (2) 8.798 * [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 8.798 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 8.798 * [taylor]: Taking taylor expansion of 1.0 in n 8.798 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 8.798 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 8.798 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.798 * [taylor]: Taking taylor expansion of k in n 8.799 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.799 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.799 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.799 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.799 * [taylor]: Taking taylor expansion of 0.5 in n 8.799 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.799 * [taylor]: Taking taylor expansion of 1.0 in n 8.799 * [taylor]: Taking taylor expansion of k in n 8.799 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n 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 8.799 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 8.799 * [taylor]: Taking taylor expansion of 1.0 in k 8.799 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 8.799 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.799 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.799 * [taylor]: Taking taylor expansion of k in k 8.799 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.799 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.799 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.799 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.799 * [taylor]: Taking taylor expansion of 0.5 in k 8.799 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.799 * [taylor]: Taking taylor expansion of 1.0 in k 8.799 * [taylor]: Taking taylor expansion of k in k 8.799 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.799 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.800 * [taylor]: Taking taylor expansion of 2.0 in k 8.800 * [taylor]: Taking taylor expansion of (* n PI) in k 8.800 * [taylor]: Taking taylor expansion of n in k 8.800 * [taylor]: Taking taylor expansion of PI in k 8.800 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 8.800 * [taylor]: Taking taylor expansion of 1.0 in k 8.800 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 8.800 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.800 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.800 * [taylor]: Taking taylor expansion of k in k 8.800 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.800 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.800 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.800 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.800 * [taylor]: Taking taylor expansion of 0.5 in k 8.800 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.800 * [taylor]: Taking taylor expansion of 1.0 in k 8.800 * [taylor]: Taking taylor expansion of k in k 8.800 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.800 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.800 * [taylor]: Taking taylor expansion of 2.0 in k 8.800 * [taylor]: Taking taylor expansion of (* n PI) in k 8.800 * [taylor]: Taking taylor expansion of n in k 8.800 * [taylor]: Taking taylor expansion of PI in k 8.800 * [taylor]: Taking taylor expansion of 0 in n 8.801 * [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 8.801 * [taylor]: Taking taylor expansion of 1.0 in n 8.801 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 8.801 * [taylor]: Taking taylor expansion of NAN in n 8.801 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 8.802 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 8.802 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 8.802 * [taylor]: Taking taylor expansion of 0.5 in n 8.802 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 8.802 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 8.802 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.802 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.802 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.802 * [taylor]: Taking taylor expansion of 1.0 in n 8.802 * [taylor]: Taking taylor expansion of (log PI) in n 8.802 * [taylor]: Taking taylor expansion of PI in n 8.802 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 8.802 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.802 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.802 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.802 * [taylor]: Taking taylor expansion of 1.0 in n 8.802 * [taylor]: Taking taylor expansion of (log n) in n 8.802 * [taylor]: Taking taylor expansion of n in n 8.802 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.802 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.802 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.802 * [taylor]: Taking taylor expansion of 1.0 in n 8.802 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.802 * [taylor]: Taking taylor expansion of 2.0 in n 8.806 * [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 8.806 * [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 8.806 * [taylor]: Taking taylor expansion of 1.0 in n 8.806 * [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 8.806 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.806 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.806 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.806 * [taylor]: Taking taylor expansion of 0.5 in n 8.806 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.806 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.806 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.806 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.806 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.806 * [taylor]: Taking taylor expansion of 1.0 in n 8.806 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.806 * [taylor]: Taking taylor expansion of 2.0 in n 8.806 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.806 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.806 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.806 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.806 * [taylor]: Taking taylor expansion of 1.0 in n 8.806 * [taylor]: Taking taylor expansion of (log n) in n 8.806 * [taylor]: Taking taylor expansion of n in n 8.807 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.807 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.807 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.807 * [taylor]: Taking taylor expansion of 1.0 in n 8.807 * [taylor]: Taking taylor expansion of (log PI) in n 8.807 * [taylor]: Taking taylor expansion of PI in n 8.808 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 8.808 * [taylor]: Taking taylor expansion of NAN in n 8.808 * [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 8.808 * [taylor]: Taking taylor expansion of 0.5 in n 8.808 * [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 8.808 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 8.808 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.808 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.808 * [taylor]: Taking taylor expansion of 2.0 in n 8.808 * [taylor]: Taking taylor expansion of (* n PI) in n 8.808 * [taylor]: Taking taylor expansion of n in n 8.808 * [taylor]: Taking taylor expansion of PI in n 8.808 * [taylor]: Taking taylor expansion of NAN in n 8.808 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.808 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.808 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.808 * [taylor]: Taking taylor expansion of 0.5 in n 8.808 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.808 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.808 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.808 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.808 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.808 * [taylor]: Taking taylor expansion of 1.0 in n 8.808 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.808 * [taylor]: Taking taylor expansion of 2.0 in n 8.808 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.808 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.808 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.808 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.808 * [taylor]: Taking taylor expansion of 1.0 in n 8.808 * [taylor]: Taking taylor expansion of (log n) in n 8.808 * [taylor]: Taking taylor expansion of n in n 8.809 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.809 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.809 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.809 * [taylor]: Taking taylor expansion of 1.0 in n 8.809 * [taylor]: Taking taylor expansion of (log PI) in n 8.809 * [taylor]: Taking taylor expansion of PI in n 8.819 * [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 8.820 * [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 8.820 * [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 8.820 * [taylor]: Taking taylor expansion of 0.125 in n 8.820 * [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 8.820 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 8.820 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 8.820 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.820 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.820 * [taylor]: Taking taylor expansion of 2.0 in n 8.820 * [taylor]: Taking taylor expansion of (* n PI) in n 8.820 * [taylor]: Taking taylor expansion of n in n 8.820 * [taylor]: Taking taylor expansion of PI in n 8.820 * [taylor]: Taking taylor expansion of NAN in n 8.820 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.820 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.820 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.820 * [taylor]: Taking taylor expansion of 0.5 in n 8.820 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.820 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.820 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.820 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.820 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.820 * [taylor]: Taking taylor expansion of 1.0 in n 8.820 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.820 * [taylor]: Taking taylor expansion of 2.0 in n 8.820 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.820 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.820 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.820 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.820 * [taylor]: Taking taylor expansion of 1.0 in n 8.820 * [taylor]: Taking taylor expansion of (log n) in n 8.820 * [taylor]: Taking taylor expansion of n in n 8.820 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.820 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.820 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.821 * [taylor]: Taking taylor expansion of 1.0 in n 8.821 * [taylor]: Taking taylor expansion of (log PI) in n 8.821 * [taylor]: Taking taylor expansion of PI in n 8.821 * [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 8.821 * [taylor]: Taking taylor expansion of 1.0 in n 8.821 * [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 8.821 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.821 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.821 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.821 * [taylor]: Taking taylor expansion of 0.5 in n 8.821 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.822 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.822 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.822 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.822 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.822 * [taylor]: Taking taylor expansion of 1.0 in n 8.822 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.822 * [taylor]: Taking taylor expansion of 2.0 in n 8.822 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.822 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.822 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.822 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.822 * [taylor]: Taking taylor expansion of 1.0 in n 8.822 * [taylor]: Taking taylor expansion of (log n) in n 8.822 * [taylor]: Taking taylor expansion of n in n 8.822 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.822 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.822 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.822 * [taylor]: Taking taylor expansion of 1.0 in n 8.822 * [taylor]: Taking taylor expansion of (log PI) in n 8.822 * [taylor]: Taking taylor expansion of PI in n 8.823 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 8.823 * [taylor]: Taking taylor expansion of NAN in n 8.823 * [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 8.823 * [taylor]: Taking taylor expansion of 0.5 in n 8.823 * [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 8.823 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 8.823 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.823 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.823 * [taylor]: Taking taylor expansion of 2.0 in n 8.823 * [taylor]: Taking taylor expansion of (* n PI) in n 8.823 * [taylor]: Taking taylor expansion of n in n 8.823 * [taylor]: Taking taylor expansion of PI in n 8.823 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 8.823 * [taylor]: Taking taylor expansion of NAN in n 8.823 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.823 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.823 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.823 * [taylor]: Taking taylor expansion of 0.5 in n 8.823 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.823 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.823 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.823 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.823 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.823 * [taylor]: Taking taylor expansion of 1.0 in n 8.823 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.823 * [taylor]: Taking taylor expansion of 2.0 in n 8.823 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.823 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.824 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.824 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.824 * [taylor]: Taking taylor expansion of 1.0 in n 8.824 * [taylor]: Taking taylor expansion of (log n) in n 8.824 * [taylor]: Taking taylor expansion of n in n 8.824 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.824 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.824 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.824 * [taylor]: Taking taylor expansion of 1.0 in n 8.824 * [taylor]: Taking taylor expansion of (log PI) in n 8.824 * [taylor]: Taking taylor expansion of PI in n 8.838 * [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 8.838 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 8.838 * [taylor]: Taking taylor expansion of 1.0 in n 8.838 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 8.838 * [taylor]: Taking taylor expansion of (sqrt k) in n 8.838 * [taylor]: Taking taylor expansion of k in n 8.838 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.838 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.838 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.838 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.838 * [taylor]: Taking taylor expansion of 0.5 in n 8.838 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.838 * [taylor]: Taking taylor expansion of 1.0 in n 8.838 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.838 * [taylor]: Taking taylor expansion of k in n 8.838 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.838 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.838 * [taylor]: Taking taylor expansion of 2.0 in n 8.838 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.838 * [taylor]: Taking taylor expansion of PI in n 8.838 * [taylor]: Taking taylor expansion of n in n 8.839 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.839 * [taylor]: Taking taylor expansion of 1.0 in k 8.839 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.839 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.839 * [taylor]: Taking taylor expansion of k in k 8.839 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.839 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.839 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.839 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.839 * [taylor]: Taking taylor expansion of 0.5 in k 8.839 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.839 * [taylor]: Taking taylor expansion of 1.0 in k 8.839 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.839 * [taylor]: Taking taylor expansion of k in k 8.839 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.839 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.839 * [taylor]: Taking taylor expansion of 2.0 in k 8.839 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.839 * [taylor]: Taking taylor expansion of PI in k 8.839 * [taylor]: Taking taylor expansion of n in k 8.839 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.839 * [taylor]: Taking taylor expansion of 1.0 in k 8.839 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.839 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.839 * [taylor]: Taking taylor expansion of k in k 8.839 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.840 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.840 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.840 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.840 * [taylor]: Taking taylor expansion of 0.5 in k 8.840 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.840 * [taylor]: Taking taylor expansion of 1.0 in k 8.840 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.840 * [taylor]: Taking taylor expansion of k in k 8.840 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.840 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.840 * [taylor]: Taking taylor expansion of 2.0 in k 8.840 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.840 * [taylor]: Taking taylor expansion of PI in k 8.840 * [taylor]: Taking taylor expansion of n in k 8.840 * [taylor]: Taking taylor expansion of 0 in n 8.840 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 8.840 * [taylor]: Taking taylor expansion of 1.0 in n 8.840 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 8.840 * [taylor]: Taking taylor expansion of NAN in n 8.840 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 8.840 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 8.841 * [taylor]: Taking taylor expansion of 0.5 in n 8.841 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 8.841 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.841 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.841 * [taylor]: Taking taylor expansion of 2.0 in n 8.841 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.841 * [taylor]: Taking taylor expansion of PI in n 8.841 * [taylor]: Taking taylor expansion of n in n 8.841 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.841 * [taylor]: Taking taylor expansion of 1.0 in n 8.841 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.841 * [taylor]: Taking taylor expansion of k in n 8.842 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 8.842 * [taylor]: Taking taylor expansion of 1.0 in n 8.842 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 8.842 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 8.842 * [taylor]: Taking taylor expansion of NAN in n 8.842 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 8.842 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 8.842 * [taylor]: Taking taylor expansion of 0.5 in n 8.842 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 8.842 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.842 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.842 * [taylor]: Taking taylor expansion of 2.0 in n 8.842 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.842 * [taylor]: Taking taylor expansion of PI in n 8.842 * [taylor]: Taking taylor expansion of n in n 8.842 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.842 * [taylor]: Taking taylor expansion of 1.0 in n 8.842 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.842 * [taylor]: Taking taylor expansion of k in n 8.845 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 8.845 * [taylor]: Taking taylor expansion of 1.0 in n 8.845 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 8.845 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 8.845 * [taylor]: Taking taylor expansion of NAN in n 8.845 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 8.845 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 8.845 * [taylor]: Taking taylor expansion of 0.5 in n 8.845 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 8.845 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.845 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.845 * [taylor]: Taking taylor expansion of 2.0 in n 8.845 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.845 * [taylor]: Taking taylor expansion of PI in n 8.845 * [taylor]: Taking taylor expansion of n in n 8.845 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.845 * [taylor]: Taking taylor expansion of 1.0 in n 8.845 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.845 * [taylor]: Taking taylor expansion of k in n 8.847 * [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 8.847 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 8.847 * [taylor]: Taking taylor expansion of 1.0 in n 8.847 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 8.847 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.847 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.847 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.847 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.847 * [taylor]: Taking taylor expansion of 0.5 in n 8.847 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.847 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.847 * [taylor]: Taking taylor expansion of k in n 8.847 * [taylor]: Taking taylor expansion of 1.0 in n 8.847 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.847 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.847 * [taylor]: Taking taylor expansion of -2.0 in n 8.847 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.847 * [taylor]: Taking taylor expansion of PI in n 8.847 * [taylor]: Taking taylor expansion of n in n 8.848 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 8.848 * [taylor]: Taking taylor expansion of (/ -1 k) in n 8.848 * [taylor]: Taking taylor expansion of -1 in n 8.848 * [taylor]: Taking taylor expansion of k in n 8.848 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.848 * [taylor]: Taking taylor expansion of 1.0 in k 8.848 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.848 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.848 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.848 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.848 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.848 * [taylor]: Taking taylor expansion of 0.5 in k 8.848 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.848 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.848 * [taylor]: Taking taylor expansion of k in k 8.848 * [taylor]: Taking taylor expansion of 1.0 in k 8.848 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.848 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.848 * [taylor]: Taking taylor expansion of -2.0 in k 8.848 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.848 * [taylor]: Taking taylor expansion of PI in k 8.848 * [taylor]: Taking taylor expansion of n in k 8.848 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.848 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.848 * [taylor]: Taking taylor expansion of -1 in k 8.848 * [taylor]: Taking taylor expansion of k in k 8.849 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.849 * [taylor]: Taking taylor expansion of 1.0 in k 8.849 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.849 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.849 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.849 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.849 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.849 * [taylor]: Taking taylor expansion of 0.5 in k 8.849 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.849 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.849 * [taylor]: Taking taylor expansion of k in k 8.849 * [taylor]: Taking taylor expansion of 1.0 in k 8.849 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.849 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.849 * [taylor]: Taking taylor expansion of -2.0 in k 8.849 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.849 * [taylor]: Taking taylor expansion of PI in k 8.849 * [taylor]: Taking taylor expansion of n in k 8.849 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.849 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.849 * [taylor]: Taking taylor expansion of -1 in k 8.849 * [taylor]: Taking taylor expansion of k in k 8.849 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 8.849 * [taylor]: Taking taylor expansion of 1.0 in n 8.849 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 8.849 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 8.850 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 8.850 * [taylor]: Taking taylor expansion of 0.5 in n 8.850 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 8.850 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.850 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.850 * [taylor]: Taking taylor expansion of k in n 8.850 * [taylor]: Taking taylor expansion of 1.0 in n 8.850 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.850 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.850 * [taylor]: Taking taylor expansion of -2.0 in n 8.850 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.850 * [taylor]: Taking taylor expansion of PI in n 8.850 * [taylor]: Taking taylor expansion of n in n 8.850 * [taylor]: Taking taylor expansion of NAN in n 8.851 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN))) in n 8.851 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 8.851 * [taylor]: Taking taylor expansion of 1.0 in n 8.851 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 8.851 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 8.851 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 8.851 * [taylor]: Taking taylor expansion of 0.5 in n 8.851 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 8.851 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.851 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.851 * [taylor]: Taking taylor expansion of k in n 8.851 * [taylor]: Taking taylor expansion of 1.0 in n 8.851 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.851 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.851 * [taylor]: Taking taylor expansion of -2.0 in n 8.851 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.851 * [taylor]: Taking taylor expansion of PI in n 8.851 * [taylor]: Taking taylor expansion of n in n 8.852 * [taylor]: Taking taylor expansion of NAN in n 8.854 * [taylor]: Taking taylor expansion of 0 in n 8.856 * [taylor]: Taking taylor expansion of 0 in n 8.857 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 8.857 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.857 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.857 * [taylor]: Taking taylor expansion of 1.0 in k 8.857 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.857 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.857 * [taylor]: Taking taylor expansion of k in k 8.857 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.857 * [taylor]: Taking taylor expansion of 1.0 in k 8.857 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.857 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.857 * [taylor]: Taking taylor expansion of k in k 8.858 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.858 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.858 * [taylor]: Taking taylor expansion of 1.0 in k 8.858 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.858 * [taylor]: Taking taylor expansion of k in k 8.858 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.858 * [taylor]: Taking taylor expansion of 1.0 in k 8.858 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.858 * [taylor]: Taking taylor expansion of k in k 8.859 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.859 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.859 * [taylor]: Taking taylor expansion of 1.0 in k 8.859 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.859 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.859 * [taylor]: Taking taylor expansion of -1 in k 8.859 * [taylor]: Taking taylor expansion of k in k 8.860 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.860 * [taylor]: Taking taylor expansion of 1.0 in k 8.860 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.860 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.860 * [taylor]: Taking taylor expansion of -1 in k 8.860 * [taylor]: Taking taylor expansion of k in k 8.864 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 8.864 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 8.864 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.864 * [taylor]: Taking taylor expansion of 2.0 in n 8.864 * [taylor]: Taking taylor expansion of (* n PI) in n 8.864 * [taylor]: Taking taylor expansion of n in n 8.864 * [taylor]: Taking taylor expansion of PI in n 8.865 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.865 * [taylor]: Taking taylor expansion of 2.0 in n 8.865 * [taylor]: Taking taylor expansion of (* n PI) in n 8.865 * [taylor]: Taking taylor expansion of n in n 8.865 * [taylor]: Taking taylor expansion of PI in n 8.865 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 8.865 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.865 * [taylor]: Taking taylor expansion of 2.0 in n 8.865 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.865 * [taylor]: Taking taylor expansion of PI in n 8.866 * [taylor]: Taking taylor expansion of n in n 8.866 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.866 * [taylor]: Taking taylor expansion of 2.0 in n 8.866 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.866 * [taylor]: Taking taylor expansion of PI in n 8.866 * [taylor]: Taking taylor expansion of n in n 8.866 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 8.867 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.867 * [taylor]: Taking taylor expansion of -2.0 in n 8.867 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.867 * [taylor]: Taking taylor expansion of PI in n 8.867 * [taylor]: Taking taylor expansion of n in n 8.867 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.867 * [taylor]: Taking taylor expansion of -2.0 in n 8.867 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.867 * [taylor]: Taking taylor expansion of PI in n 8.867 * [taylor]: Taking taylor expansion of n in n 8.868 * * * [progress]: simplifying candidates 8.870 * [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 (* (* 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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 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NAN))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 8.883 * * [simplify]: iteration 0 : 953 enodes (cost 1493 ) 8.901 * * [simplify]: iteration 1 : 4233 enodes (cost 1364 ) 8.968 * * [simplify]: iteration 2 : 5002 enodes (cost 1352 ) 8.975 * [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 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(* (* 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) 8.976 * * * [progress]: adding candidates to table 9.242 * * [progress]: iteration 2 / 4 9.242 * * * [progress]: picking best candidate 9.278 * * * * [pick]: Picked # 9.278 * * * [progress]: localizing error 9.298 * * * [progress]: generating rewritten candidates 9.298 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 9.308 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 9.313 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 9.317 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 9.329 * * * [progress]: generating series expansions 9.329 * * * * [progress]: [ 1 / 4 ] generating series at (2) 9.329 * [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 9.329 * [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 9.329 * [taylor]: Taking taylor expansion of 1.0 in k 9.329 * [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 9.329 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.329 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.329 * [taylor]: Taking taylor expansion of k in k 9.330 * [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 9.330 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 9.330 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 9.330 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 9.330 * [taylor]: Taking taylor expansion of 0.5 in k 9.330 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 9.330 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 9.330 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 9.330 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 9.330 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 9.330 * [taylor]: Taking taylor expansion of 1.0 in k 9.330 * [taylor]: Taking taylor expansion of (log 2.0) in k 9.330 * [taylor]: Taking taylor expansion of 2.0 in k 9.330 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 9.330 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.330 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.330 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.330 * [taylor]: Taking taylor expansion of 1.0 in k 9.330 * [taylor]: Taking taylor expansion of (log n) in k 9.330 * [taylor]: Taking taylor expansion of n in k 9.330 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.330 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.330 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.330 * [taylor]: Taking taylor expansion of 1.0 in k 9.330 * [taylor]: Taking taylor expansion of (log PI) in k 9.330 * [taylor]: Taking taylor expansion of PI in k 9.331 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 9.331 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 9.331 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 9.331 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 9.331 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 9.331 * [taylor]: Taking taylor expansion of 0.5 in k 9.331 * [taylor]: Taking taylor expansion of k in k 9.331 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 9.331 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 9.331 * [taylor]: Taking taylor expansion of 2.0 in k 9.331 * [taylor]: Taking taylor expansion of (* n PI) in k 9.331 * [taylor]: Taking taylor expansion of n in k 9.331 * [taylor]: Taking taylor expansion of PI in k 9.332 * [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 9.332 * [taylor]: Taking taylor expansion of 1.0 in n 9.332 * [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 9.332 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 9.332 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.332 * [taylor]: Taking taylor expansion of k in n 9.332 * [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 9.332 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 9.332 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 9.332 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 9.332 * [taylor]: Taking taylor expansion of 0.5 in n 9.332 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 9.332 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 9.332 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.332 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.332 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.332 * [taylor]: Taking taylor expansion of 1.0 in n 9.332 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.332 * [taylor]: Taking taylor expansion of 2.0 in n 9.332 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 9.332 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.332 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.332 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.332 * [taylor]: Taking taylor expansion of 1.0 in n 9.332 * [taylor]: Taking taylor expansion of (log n) in n 9.332 * [taylor]: Taking taylor expansion of n in n 9.332 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.332 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.332 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.332 * [taylor]: Taking taylor expansion of 1.0 in n 9.332 * [taylor]: Taking taylor expansion of (log PI) in n 9.332 * [taylor]: Taking taylor expansion of PI in n 9.333 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 9.333 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 9.333 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 9.333 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 9.333 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 9.333 * [taylor]: Taking taylor expansion of 0.5 in n 9.333 * [taylor]: Taking taylor expansion of k in n 9.333 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.333 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.333 * [taylor]: Taking taylor expansion of 2.0 in n 9.333 * [taylor]: Taking taylor expansion of (* n PI) in n 9.333 * [taylor]: Taking taylor expansion of n in n 9.333 * [taylor]: Taking taylor expansion of PI in n 9.334 * [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 9.334 * [taylor]: Taking taylor expansion of 1.0 in n 9.334 * [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 9.334 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 9.334 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.334 * [taylor]: Taking taylor expansion of k in n 9.334 * [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 9.334 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 9.334 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 9.334 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 9.334 * [taylor]: Taking taylor expansion of 0.5 in n 9.334 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 9.334 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 9.334 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.334 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.334 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.334 * [taylor]: Taking taylor expansion of 1.0 in n 9.334 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.334 * [taylor]: Taking taylor expansion of 2.0 in n 9.334 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 9.334 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.334 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.334 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.334 * [taylor]: Taking taylor expansion of 1.0 in n 9.334 * [taylor]: Taking taylor expansion of (log n) in n 9.334 * [taylor]: Taking taylor expansion of n in n 9.335 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.335 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.335 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.335 * [taylor]: Taking taylor expansion of 1.0 in n 9.335 * [taylor]: Taking taylor expansion of (log PI) in n 9.335 * [taylor]: Taking taylor expansion of PI in n 9.335 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 9.335 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 9.335 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 9.335 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 9.335 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 9.336 * [taylor]: Taking taylor expansion of 0.5 in n 9.336 * [taylor]: Taking taylor expansion of k in n 9.336 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.336 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.336 * [taylor]: Taking taylor expansion of 2.0 in n 9.336 * [taylor]: Taking taylor expansion of (* n PI) in n 9.336 * [taylor]: Taking taylor expansion of n in n 9.336 * [taylor]: Taking taylor expansion of PI in n 9.337 * [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 9.337 * [taylor]: Taking taylor expansion of 1.0 in k 9.337 * [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 9.337 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.337 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.337 * [taylor]: Taking taylor expansion of k in k 9.337 * [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 9.337 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 9.337 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 9.337 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 9.337 * [taylor]: Taking taylor expansion of 0.5 in k 9.337 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 9.337 * [taylor]: Taking taylor expansion of k in k 9.337 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 9.337 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.337 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.337 * [taylor]: Taking taylor expansion of 2.0 in k 9.337 * [taylor]: Taking taylor expansion of PI in k 9.337 * [taylor]: Taking taylor expansion of (log n) in k 9.337 * [taylor]: Taking taylor expansion of n in k 9.338 * [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 9.338 * [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 9.338 * [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 9.338 * [taylor]: Taking taylor expansion of 0.5 in k 9.338 * [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 9.338 * [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 9.338 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.338 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.338 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.338 * [taylor]: Taking taylor expansion of 1.0 in k 9.338 * [taylor]: Taking taylor expansion of (log PI) in k 9.338 * [taylor]: Taking taylor expansion of PI in k 9.338 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 9.338 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 9.338 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 9.338 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 9.338 * [taylor]: Taking taylor expansion of 1.0 in k 9.338 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 9.338 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 9.338 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 9.338 * [taylor]: Taking taylor expansion of 1.0 in k 9.338 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 9.338 * [taylor]: Taking taylor expansion of (log 1) in k 9.338 * [taylor]: Taking taylor expansion of 1 in k 9.338 * [taylor]: Taking taylor expansion of (log n) in k 9.338 * [taylor]: Taking taylor expansion of n in k 9.339 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 9.339 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 9.339 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 9.339 * [taylor]: Taking taylor expansion of 1.0 in k 9.339 * [taylor]: Taking taylor expansion of (log 2.0) in k 9.339 * [taylor]: Taking taylor expansion of 2.0 in k 9.343 * [taylor]: Taking taylor expansion of 0 in k 9.351 * [taylor]: Taking taylor expansion of 0 in k 9.366 * [taylor]: Taking taylor expansion of 0 in k 9.392 * [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 9.392 * [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 9.392 * [taylor]: Taking taylor expansion of 1.0 in k 9.392 * [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 9.392 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.392 * [taylor]: Taking taylor expansion of k in k 9.392 * [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 9.392 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 9.392 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 9.392 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 9.393 * [taylor]: Taking taylor expansion of 0.5 in k 9.393 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 9.393 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 9.393 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 9.393 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 9.393 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 9.393 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 9.393 * [taylor]: Taking taylor expansion of 1.0 in k 9.393 * [taylor]: Taking taylor expansion of (log 2.0) in k 9.393 * [taylor]: Taking taylor expansion of 2.0 in k 9.393 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.393 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.393 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.393 * [taylor]: Taking taylor expansion of 1.0 in k 9.393 * [taylor]: Taking taylor expansion of (log PI) in k 9.393 * [taylor]: Taking taylor expansion of PI in k 9.393 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.393 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.393 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.393 * [taylor]: Taking taylor expansion of 1.0 in k 9.393 * [taylor]: Taking taylor expansion of (log n) in k 9.393 * [taylor]: Taking taylor expansion of n in k 9.394 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 9.394 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 9.394 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 9.394 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 9.394 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 9.394 * [taylor]: Taking taylor expansion of 0.5 in k 9.394 * [taylor]: Taking taylor expansion of k in k 9.394 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 9.394 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 9.394 * [taylor]: Taking taylor expansion of 2.0 in k 9.394 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.394 * [taylor]: Taking taylor expansion of PI in k 9.394 * [taylor]: Taking taylor expansion of n in k 9.394 * [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 9.394 * [taylor]: Taking taylor expansion of 1.0 in n 9.394 * [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 9.394 * [taylor]: Taking taylor expansion of (sqrt k) in n 9.394 * [taylor]: Taking taylor expansion of k in n 9.394 * [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 9.394 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.394 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.395 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.395 * [taylor]: Taking taylor expansion of 0.5 in n 9.395 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.395 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.395 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 9.395 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.395 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.395 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.395 * [taylor]: Taking taylor expansion of 1.0 in n 9.395 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.395 * [taylor]: Taking taylor expansion of 2.0 in n 9.395 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.395 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.395 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.395 * [taylor]: Taking taylor expansion of 1.0 in n 9.395 * [taylor]: Taking taylor expansion of (log PI) in n 9.395 * [taylor]: Taking taylor expansion of PI in n 9.395 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.395 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.395 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.395 * [taylor]: Taking taylor expansion of 1.0 in n 9.395 * [taylor]: Taking taylor expansion of (log n) in n 9.395 * [taylor]: Taking taylor expansion of n in n 9.396 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 9.396 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 9.396 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 9.396 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 9.396 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 9.396 * [taylor]: Taking taylor expansion of 0.5 in n 9.396 * [taylor]: Taking taylor expansion of k in n 9.396 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI 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 9.396 * [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 9.396 * [taylor]: Taking taylor expansion of 1.0 in n 9.396 * [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 9.397 * [taylor]: Taking taylor expansion of (sqrt k) in n 9.397 * [taylor]: Taking taylor expansion of k in n 9.397 * [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 9.397 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.397 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.397 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.397 * [taylor]: Taking taylor expansion of 0.5 in n 9.397 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.397 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.397 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 9.397 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.397 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.397 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.397 * [taylor]: Taking taylor expansion of 1.0 in n 9.397 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.397 * [taylor]: Taking taylor expansion of 2.0 in n 9.397 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.397 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.397 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.397 * [taylor]: Taking taylor expansion of 1.0 in n 9.397 * [taylor]: Taking taylor expansion of (log PI) in n 9.397 * [taylor]: Taking taylor expansion of PI in n 9.397 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.397 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.397 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.397 * [taylor]: Taking taylor expansion of 1.0 in n 9.397 * [taylor]: Taking taylor expansion of (log n) in n 9.397 * [taylor]: Taking taylor expansion of n in n 9.398 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 9.398 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 9.398 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 9.398 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 9.398 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 9.398 * [taylor]: Taking taylor expansion of 0.5 in n 9.398 * [taylor]: Taking taylor expansion of k in n 9.398 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.398 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.398 * [taylor]: Taking taylor expansion of 2.0 in n 9.398 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.398 * [taylor]: Taking taylor expansion of PI in n 9.398 * [taylor]: Taking taylor expansion of n in n 9.400 * [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 9.400 * [taylor]: Taking taylor expansion of 1.0 in k 9.400 * [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 9.400 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.400 * [taylor]: Taking taylor expansion of k in k 9.400 * [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 9.400 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 9.400 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 9.400 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 9.400 * [taylor]: Taking taylor expansion of 0.5 in k 9.400 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 9.400 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 9.400 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.400 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.400 * [taylor]: Taking taylor expansion of 2.0 in k 9.400 * [taylor]: Taking taylor expansion of PI in k 9.400 * [taylor]: Taking taylor expansion of (log n) in k 9.400 * [taylor]: Taking taylor expansion of n in k 9.400 * [taylor]: Taking taylor expansion of k in k 9.400 * [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 9.400 * [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 9.400 * [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 9.400 * [taylor]: Taking taylor expansion of 0.5 in k 9.400 * [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 9.400 * [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 9.400 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 9.400 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.400 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.400 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.401 * [taylor]: Taking taylor expansion of 1.0 in k 9.401 * [taylor]: Taking taylor expansion of (log PI) in k 9.401 * [taylor]: Taking taylor expansion of PI in k 9.401 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 9.401 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 9.401 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 9.401 * [taylor]: Taking taylor expansion of 1.0 in k 9.401 * [taylor]: Taking taylor expansion of (log 2.0) in k 9.401 * [taylor]: Taking taylor expansion of 2.0 in k 9.401 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 9.401 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 9.401 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 9.401 * [taylor]: Taking taylor expansion of 1.0 in k 9.401 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 9.401 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 9.401 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 9.401 * [taylor]: Taking taylor expansion of 1.0 in k 9.401 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 9.401 * [taylor]: Taking taylor expansion of (log 1) in k 9.401 * [taylor]: Taking taylor expansion of 1 in k 9.401 * [taylor]: Taking taylor expansion of (log n) in k 9.401 * [taylor]: Taking taylor expansion of n in k 9.406 * [taylor]: Taking taylor expansion of 0 in k 9.414 * [taylor]: Taking taylor expansion of 0 in k 9.425 * [taylor]: Taking taylor expansion of 0 in k 9.434 * [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 9.434 * [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 9.434 * [taylor]: Taking taylor expansion of 1.0 in k 9.434 * [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 9.434 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 9.434 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 9.435 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.435 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.435 * [taylor]: Taking taylor expansion of -1 in k 9.435 * [taylor]: Taking taylor expansion of k in k 9.435 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 9.435 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 9.435 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 9.435 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 9.435 * [taylor]: Taking taylor expansion of -0.5 in k 9.435 * [taylor]: Taking taylor expansion of k in k 9.435 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 9.435 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 9.435 * [taylor]: Taking taylor expansion of -2.0 in k 9.435 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.435 * [taylor]: Taking taylor expansion of PI in k 9.435 * [taylor]: Taking taylor expansion of n in k 9.435 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 9.435 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 9.435 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 9.435 * [taylor]: Taking taylor expansion of 0.5 in k 9.435 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 9.435 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 9.435 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 9.435 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 9.435 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 9.435 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 9.435 * [taylor]: Taking taylor expansion of 1.0 in k 9.435 * [taylor]: Taking taylor expansion of (log -2.0) in k 9.435 * [taylor]: Taking taylor expansion of -2.0 in k 9.436 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.436 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.436 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.436 * [taylor]: Taking taylor expansion of 1.0 in k 9.436 * [taylor]: Taking taylor expansion of (log PI) in k 9.436 * [taylor]: Taking taylor expansion of PI in k 9.436 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.436 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.436 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.436 * [taylor]: Taking taylor expansion of 1.0 in k 9.436 * [taylor]: Taking taylor expansion of (log n) in k 9.436 * [taylor]: Taking taylor expansion of n in k 9.437 * [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 9.437 * [taylor]: Taking taylor expansion of 1.0 in n 9.437 * [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 9.437 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 9.437 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 9.437 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 9.437 * [taylor]: Taking taylor expansion of (/ -1 k) in n 9.437 * [taylor]: Taking taylor expansion of -1 in n 9.437 * [taylor]: Taking taylor expansion of k in n 9.437 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 9.437 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 9.437 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 9.437 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 9.437 * [taylor]: Taking taylor expansion of -0.5 in n 9.437 * [taylor]: Taking taylor expansion of k in n 9.437 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.437 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.437 * [taylor]: Taking taylor expansion of -2.0 in n 9.437 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.437 * [taylor]: Taking taylor expansion of PI in n 9.437 * [taylor]: Taking taylor expansion of n in n 9.438 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.438 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.438 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.438 * [taylor]: Taking taylor expansion of 0.5 in n 9.438 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.438 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.438 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 9.438 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 9.438 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 9.438 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 9.438 * [taylor]: Taking taylor expansion of 1.0 in n 9.438 * [taylor]: Taking taylor expansion of (log -2.0) in n 9.438 * [taylor]: Taking taylor expansion of -2.0 in n 9.438 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.438 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.438 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.438 * [taylor]: Taking taylor expansion of 1.0 in n 9.438 * [taylor]: Taking taylor expansion of (log PI) in n 9.438 * [taylor]: Taking taylor expansion of PI in n 9.438 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.438 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.438 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.438 * [taylor]: Taking taylor expansion of 1.0 in n 9.438 * [taylor]: Taking taylor expansion of (log n) in n 9.438 * [taylor]: Taking taylor expansion of n in n 9.439 * [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 9.439 * [taylor]: Taking taylor expansion of 1.0 in n 9.439 * [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 9.439 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 9.439 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 9.439 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 9.439 * [taylor]: Taking taylor expansion of (/ -1 k) in n 9.439 * [taylor]: Taking taylor expansion of -1 in n 9.439 * [taylor]: Taking taylor expansion of k in n 9.439 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 9.439 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 9.439 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 9.439 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 9.439 * [taylor]: Taking taylor expansion of -0.5 in n 9.439 * [taylor]: Taking taylor expansion of k in n 9.439 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.439 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.439 * [taylor]: Taking taylor expansion of -2.0 in n 9.439 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.439 * [taylor]: Taking taylor expansion of PI in n 9.439 * [taylor]: Taking taylor expansion of n in n 9.440 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.440 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.440 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.440 * [taylor]: Taking taylor expansion of 0.5 in n 9.440 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.440 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.440 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 9.440 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 9.440 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 9.440 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 9.440 * [taylor]: Taking taylor expansion of 1.0 in n 9.440 * [taylor]: Taking taylor expansion of (log -2.0) in n 9.440 * [taylor]: Taking taylor expansion of -2.0 in n 9.440 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.440 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.440 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.440 * [taylor]: Taking taylor expansion of 1.0 in n 9.440 * [taylor]: Taking taylor expansion of (log PI) in n 9.440 * [taylor]: Taking taylor expansion of PI in n 9.440 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.440 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.440 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.440 * [taylor]: Taking taylor expansion of 1.0 in n 9.440 * [taylor]: Taking taylor expansion of (log n) in n 9.440 * [taylor]: Taking taylor expansion of n in n 9.442 * [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 9.442 * [taylor]: Taking taylor expansion of 1.0 in k 9.442 * [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 9.442 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 9.442 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 9.442 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 9.442 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 9.442 * [taylor]: Taking taylor expansion of -0.5 in k 9.442 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 9.442 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 9.442 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 9.442 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 9.442 * [taylor]: Taking taylor expansion of -2.0 in k 9.442 * [taylor]: Taking taylor expansion of PI in k 9.442 * [taylor]: Taking taylor expansion of (log n) in k 9.442 * [taylor]: Taking taylor expansion of n in k 9.442 * [taylor]: Taking taylor expansion of k in k 9.443 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.443 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.443 * [taylor]: Taking taylor expansion of -1 in k 9.443 * [taylor]: Taking taylor expansion of k in k 9.443 * [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 9.443 * [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 9.443 * [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 9.443 * [taylor]: Taking taylor expansion of 0.5 in k 9.443 * [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 9.443 * [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 9.443 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 9.443 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 9.443 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 9.443 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 9.443 * [taylor]: Taking taylor expansion of 1.0 in k 9.443 * [taylor]: Taking taylor expansion of (log -2.0) in k 9.443 * [taylor]: Taking taylor expansion of -2.0 in k 9.443 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.443 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.443 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.443 * [taylor]: Taking taylor expansion of 1.0 in k 9.443 * [taylor]: Taking taylor expansion of (log PI) in k 9.443 * [taylor]: Taking taylor expansion of PI in k 9.443 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 9.443 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 9.443 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 9.443 * [taylor]: Taking taylor expansion of 1.0 in k 9.443 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 9.443 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 9.444 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 9.444 * [taylor]: Taking taylor expansion of 1.0 in k 9.444 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 9.444 * [taylor]: Taking taylor expansion of (log 1) in k 9.444 * [taylor]: Taking taylor expansion of 1 in k 9.444 * [taylor]: Taking taylor expansion of (log n) in k 9.444 * [taylor]: Taking taylor expansion of n in k 9.449 * [taylor]: Taking taylor expansion of 0 in k 9.457 * [taylor]: Taking taylor expansion of 0 in k 9.468 * [taylor]: Taking taylor expansion of 0 in k 9.469 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 9.469 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 9.469 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.469 * [taylor]: Taking taylor expansion of 2.0 in n 9.469 * [taylor]: Taking taylor expansion of (* n PI) in n 9.469 * [taylor]: Taking taylor expansion of n in n 9.469 * [taylor]: Taking taylor expansion of PI in n 9.469 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.469 * [taylor]: Taking taylor expansion of 2.0 in n 9.469 * [taylor]: Taking taylor expansion of (* n PI) in n 9.469 * [taylor]: Taking taylor expansion of n in n 9.469 * [taylor]: Taking taylor expansion of PI in n 9.470 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 9.470 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.470 * [taylor]: Taking taylor expansion of 2.0 in n 9.470 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.470 * [taylor]: Taking taylor expansion of PI in n 9.470 * [taylor]: Taking taylor expansion of n in n 9.470 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.471 * [taylor]: Taking taylor expansion of 2.0 in n 9.471 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.471 * [taylor]: Taking taylor expansion of PI in n 9.471 * [taylor]: Taking taylor expansion of n in n 9.471 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 9.471 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.471 * [taylor]: Taking taylor expansion of -2.0 in n 9.471 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.471 * [taylor]: Taking taylor expansion of PI in n 9.471 * [taylor]: Taking taylor expansion of n in n 9.472 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.472 * [taylor]: Taking taylor expansion of -2.0 in n 9.472 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.472 * [taylor]: Taking taylor expansion of PI in n 9.472 * [taylor]: Taking taylor expansion of n in n 9.472 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 9.472 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 9.472 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.472 * [taylor]: Taking taylor expansion of 2.0 in n 9.473 * [taylor]: Taking taylor expansion of (* n PI) in n 9.473 * [taylor]: Taking taylor expansion of n in n 9.473 * [taylor]: Taking taylor expansion of PI in n 9.473 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.473 * [taylor]: Taking taylor expansion of 2.0 in n 9.473 * [taylor]: Taking taylor expansion of (* n PI) in n 9.473 * [taylor]: Taking taylor expansion of n in n 9.473 * [taylor]: Taking taylor expansion of PI in n 9.473 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 9.473 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.473 * [taylor]: Taking taylor expansion of 2.0 in n 9.474 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.474 * [taylor]: Taking taylor expansion of PI in n 9.474 * [taylor]: Taking taylor expansion of n in n 9.474 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.474 * [taylor]: Taking taylor expansion of 2.0 in n 9.474 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.474 * [taylor]: Taking taylor expansion of PI in n 9.474 * [taylor]: Taking taylor expansion of n in n 9.474 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 9.474 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.475 * [taylor]: Taking taylor expansion of -2.0 in n 9.475 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.475 * [taylor]: Taking taylor expansion of PI in n 9.475 * [taylor]: Taking taylor expansion of n in n 9.475 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.475 * [taylor]: Taking taylor expansion of -2.0 in n 9.475 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.475 * [taylor]: Taking taylor expansion of PI in n 9.475 * [taylor]: Taking taylor expansion of n in n 9.477 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 9.477 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 9.477 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 9.477 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 9.477 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 9.477 * [taylor]: Taking taylor expansion of 0.5 in n 9.477 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.477 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.477 * [taylor]: Taking taylor expansion of 2.0 in n 9.477 * [taylor]: Taking taylor expansion of (* n PI) in n 9.477 * [taylor]: Taking taylor expansion of n in n 9.477 * [taylor]: Taking taylor expansion of PI in n 9.478 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 9.478 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 9.478 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 9.478 * [taylor]: Taking taylor expansion of 0.5 in n 9.478 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.478 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.478 * [taylor]: Taking taylor expansion of 2.0 in n 9.478 * [taylor]: Taking taylor expansion of (* n PI) in n 9.478 * [taylor]: Taking taylor expansion of n in n 9.478 * [taylor]: Taking taylor expansion of PI in n 9.485 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 9.485 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 9.485 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 9.485 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 9.485 * [taylor]: Taking taylor expansion of 0.5 in n 9.485 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.485 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.485 * [taylor]: Taking taylor expansion of 2.0 in n 9.485 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.485 * [taylor]: Taking taylor expansion of PI in n 9.485 * [taylor]: Taking taylor expansion of n in n 9.485 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 9.485 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 9.485 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 9.485 * [taylor]: Taking taylor expansion of 0.5 in n 9.485 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.485 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.485 * [taylor]: Taking taylor expansion of 2.0 in n 9.485 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.485 * [taylor]: Taking taylor expansion of PI in n 9.485 * [taylor]: Taking taylor expansion of n in n 9.493 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 9.493 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 9.493 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 9.493 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 9.493 * [taylor]: Taking taylor expansion of 0.5 in n 9.493 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.493 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.493 * [taylor]: Taking taylor expansion of -2.0 in n 9.493 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.493 * [taylor]: Taking taylor expansion of PI in n 9.493 * [taylor]: Taking taylor expansion of n in n 9.493 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 9.493 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 9.493 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 9.493 * [taylor]: Taking taylor expansion of 0.5 in n 9.493 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.493 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.493 * [taylor]: Taking taylor expansion of -2.0 in n 9.493 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.493 * [taylor]: Taking taylor expansion of PI in n 9.493 * [taylor]: Taking taylor expansion of n in n 9.500 * * * [progress]: simplifying candidates 9.502 * [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 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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))))) 9.512 * * [simplify]: iteration 0 : 939 enodes (cost 1410 ) 9.527 * * [simplify]: iteration 1 : 4082 enodes (cost 1188 ) 9.594 * * [simplify]: iteration 2 : 5002 enodes (cost 1188 ) 9.600 * [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 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(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))))) 9.601 * * * [progress]: adding candidates to table 9.762 * * [progress]: iteration 3 / 4 9.762 * * * [progress]: picking best candidate 9.798 * * * * [pick]: Picked # 9.798 * * * [progress]: localizing error 9.816 * * * [progress]: generating rewritten candidates 9.816 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 9.827 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 9.830 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 9.835 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 9.844 * * * [progress]: generating series expansions 9.844 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 9.845 * [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 9.845 * [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 9.845 * [taylor]: Taking taylor expansion of 1.0 in n 9.845 * [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 9.845 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 9.845 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.845 * [taylor]: Taking taylor expansion of k in n 9.845 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 9.845 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 9.845 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 9.845 * [taylor]: Taking taylor expansion of 0.5 in n 9.845 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 9.845 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 9.845 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.845 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.845 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.845 * [taylor]: Taking taylor expansion of 1.0 in n 9.845 * [taylor]: Taking taylor expansion of (log PI) in n 9.845 * [taylor]: Taking taylor expansion of PI in n 9.845 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 9.845 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.846 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.846 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.846 * [taylor]: Taking taylor expansion of 1.0 in n 9.846 * [taylor]: Taking taylor expansion of (log n) in n 9.846 * [taylor]: Taking taylor expansion of n in n 9.846 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.846 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.846 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.846 * [taylor]: Taking taylor expansion of 1.0 in n 9.846 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.846 * [taylor]: Taking taylor expansion of 2.0 in n 9.847 * [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 9.847 * [taylor]: Taking taylor expansion of 1.0 in k 9.847 * [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 9.847 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.847 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.847 * [taylor]: Taking taylor expansion of k in k 9.847 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 9.847 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 9.847 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 9.847 * [taylor]: Taking taylor expansion of 0.5 in k 9.847 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 9.847 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 9.847 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.847 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.847 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.847 * [taylor]: Taking taylor expansion of 1.0 in k 9.847 * [taylor]: Taking taylor expansion of (log PI) in k 9.847 * [taylor]: Taking taylor expansion of PI in k 9.847 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 9.847 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.847 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.847 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.847 * [taylor]: Taking taylor expansion of 1.0 in k 9.847 * [taylor]: Taking taylor expansion of (log n) in k 9.847 * [taylor]: Taking taylor expansion of n in k 9.847 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 9.847 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 9.847 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 9.847 * [taylor]: Taking taylor expansion of 1.0 in k 9.847 * [taylor]: Taking taylor expansion of (log 2.0) in k 9.847 * [taylor]: Taking taylor expansion of 2.0 in k 9.848 * [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 9.848 * [taylor]: Taking taylor expansion of 1.0 in k 9.848 * [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 9.848 * [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 9.848 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 9.848 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 9.848 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 9.848 * [taylor]: Taking taylor expansion of 0.5 in k 9.848 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 9.848 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 9.848 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.848 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.848 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.848 * [taylor]: Taking taylor expansion of 1.0 in k 9.848 * [taylor]: Taking taylor expansion of (log PI) in k 9.848 * [taylor]: Taking taylor expansion of PI in k 9.849 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 9.849 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.849 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.849 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.849 * [taylor]: Taking taylor expansion of 1.0 in k 9.849 * [taylor]: Taking taylor expansion of (log n) in k 9.849 * [taylor]: Taking taylor expansion of n in k 9.849 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 9.849 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 9.849 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 9.849 * [taylor]: Taking taylor expansion of 1.0 in k 9.849 * [taylor]: Taking taylor expansion of (log 2.0) in k 9.849 * [taylor]: Taking taylor expansion of 2.0 in k 9.850 * [taylor]: Taking taylor expansion of 0 in n 9.852 * [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 9.852 * [taylor]: Taking taylor expansion of 1.0 in n 9.852 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 9.852 * [taylor]: Taking taylor expansion of NAN in n 9.852 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 9.852 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 9.852 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 9.852 * [taylor]: Taking taylor expansion of 0.5 in n 9.852 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 9.852 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 9.852 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.852 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.852 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.852 * [taylor]: Taking taylor expansion of 1.0 in n 9.852 * [taylor]: Taking taylor expansion of (log PI) in n 9.852 * [taylor]: Taking taylor expansion of PI in n 9.852 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 9.852 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.852 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.852 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.852 * [taylor]: Taking taylor expansion of 1.0 in n 9.852 * [taylor]: Taking taylor expansion of (log n) in n 9.852 * [taylor]: Taking taylor expansion of n in n 9.853 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.853 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.853 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.853 * [taylor]: Taking taylor expansion of 1.0 in n 9.853 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.853 * [taylor]: Taking taylor expansion of 2.0 in n 9.857 * [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 9.857 * [taylor]: Taking taylor expansion of 1.0 in n 9.857 * [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 9.857 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 9.857 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 9.857 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 9.857 * [taylor]: Taking taylor expansion of 0.5 in n 9.857 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 9.858 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 9.858 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.858 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.858 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.858 * [taylor]: Taking taylor expansion of 1.0 in n 9.858 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.858 * [taylor]: Taking taylor expansion of 2.0 in n 9.858 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 9.858 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.858 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.858 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.858 * [taylor]: Taking taylor expansion of 1.0 in n 9.858 * [taylor]: Taking taylor expansion of (log n) in n 9.858 * [taylor]: Taking taylor expansion of n in n 9.858 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.858 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.858 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.858 * [taylor]: Taking taylor expansion of 1.0 in n 9.858 * [taylor]: Taking taylor expansion of (log PI) in n 9.858 * [taylor]: Taking taylor expansion of PI in n 9.859 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 9.859 * [taylor]: Taking taylor expansion of NAN in n 9.866 * [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 9.866 * [taylor]: Taking taylor expansion of 1.0 in n 9.866 * [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 9.866 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 9.866 * [taylor]: Taking taylor expansion of NAN in n 9.866 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 9.866 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 9.866 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 9.866 * [taylor]: Taking taylor expansion of 0.5 in n 9.866 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 9.866 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 9.866 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.866 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.866 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.866 * [taylor]: Taking taylor expansion of 1.0 in n 9.866 * [taylor]: Taking taylor expansion of (log PI) in n 9.866 * [taylor]: Taking taylor expansion of PI in n 9.866 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 9.866 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.866 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.866 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.866 * [taylor]: Taking taylor expansion of 1.0 in n 9.866 * [taylor]: Taking taylor expansion of (log n) in n 9.867 * [taylor]: Taking taylor expansion of n in n 9.867 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.867 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.867 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.867 * [taylor]: Taking taylor expansion of 1.0 in n 9.867 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.867 * [taylor]: Taking taylor expansion of 2.0 in n 9.870 * [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 9.870 * [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 9.870 * [taylor]: Taking taylor expansion of 1.0 in n 9.870 * [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 9.870 * [taylor]: Taking taylor expansion of (sqrt k) in n 9.870 * [taylor]: Taking taylor expansion of k in n 9.870 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 9.870 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 9.870 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 9.870 * [taylor]: Taking taylor expansion of 0.5 in n 9.870 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 9.870 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 9.870 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 9.870 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.870 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.870 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.870 * [taylor]: Taking taylor expansion of 1.0 in n 9.870 * [taylor]: Taking taylor expansion of (log PI) in n 9.870 * [taylor]: Taking taylor expansion of PI in n 9.870 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.870 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.870 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.870 * [taylor]: Taking taylor expansion of 1.0 in n 9.870 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.870 * [taylor]: Taking taylor expansion of 2.0 in n 9.870 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.870 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.870 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.870 * [taylor]: Taking taylor expansion of 1.0 in n 9.870 * [taylor]: Taking taylor expansion of (log n) in n 9.870 * [taylor]: Taking taylor expansion of n in n 9.871 * [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 9.871 * [taylor]: Taking taylor expansion of 1.0 in k 9.871 * [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 9.871 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.871 * [taylor]: Taking taylor expansion of k in k 9.871 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 9.871 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 9.871 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 9.871 * [taylor]: Taking taylor expansion of 0.5 in k 9.871 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 9.871 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 9.871 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 9.871 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.871 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.871 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.871 * [taylor]: Taking taylor expansion of 1.0 in k 9.871 * [taylor]: Taking taylor expansion of (log PI) in k 9.872 * [taylor]: Taking taylor expansion of PI in k 9.872 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 9.872 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 9.872 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 9.872 * [taylor]: Taking taylor expansion of 1.0 in k 9.872 * [taylor]: Taking taylor expansion of (log 2.0) in k 9.872 * [taylor]: Taking taylor expansion of 2.0 in k 9.872 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.872 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.872 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.872 * [taylor]: Taking taylor expansion of 1.0 in k 9.872 * [taylor]: Taking taylor expansion of (log n) in k 9.872 * [taylor]: Taking taylor expansion of n in k 9.873 * [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 9.873 * [taylor]: Taking taylor expansion of 1.0 in k 9.873 * [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 9.873 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.873 * [taylor]: Taking taylor expansion of k in k 9.873 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 9.873 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 9.873 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 9.873 * [taylor]: Taking taylor expansion of 0.5 in k 9.873 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 9.873 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 9.873 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 9.873 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.873 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.873 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.873 * [taylor]: Taking taylor expansion of 1.0 in k 9.873 * [taylor]: Taking taylor expansion of (log PI) in k 9.873 * [taylor]: Taking taylor expansion of PI in k 9.873 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 9.873 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 9.873 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 9.873 * [taylor]: Taking taylor expansion of 1.0 in k 9.873 * [taylor]: Taking taylor expansion of (log 2.0) in k 9.873 * [taylor]: Taking taylor expansion of 2.0 in k 9.873 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.873 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.873 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.873 * [taylor]: Taking taylor expansion of 1.0 in k 9.873 * [taylor]: Taking taylor expansion of (log n) in k 9.873 * [taylor]: Taking taylor expansion of n in k 9.874 * [taylor]: Taking taylor expansion of 0 in n 9.877 * [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 9.877 * [taylor]: Taking taylor expansion of 1.0 in n 9.877 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) NAN) in n 9.877 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.877 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.877 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.877 * [taylor]: Taking taylor expansion of 0.5 in n 9.877 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.877 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.877 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 9.877 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.877 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.877 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.877 * [taylor]: Taking taylor expansion of 1.0 in n 9.877 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.877 * [taylor]: Taking taylor expansion of 2.0 in n 9.877 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.877 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.877 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.877 * [taylor]: Taking taylor expansion of 1.0 in n 9.877 * [taylor]: Taking taylor expansion of (log PI) in n 9.877 * [taylor]: Taking taylor expansion of PI in n 9.877 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.877 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.877 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.877 * [taylor]: Taking taylor expansion of 1.0 in n 9.877 * [taylor]: Taking taylor expansion of (log n) in n 9.877 * [taylor]: Taking taylor expansion of n in n 9.878 * [taylor]: Taking taylor expansion of NAN in n 9.885 * [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 9.885 * [taylor]: Taking taylor expansion of 1.0 in n 9.885 * [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 9.885 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 9.885 * [taylor]: Taking taylor expansion of NAN in n 9.885 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 9.885 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 9.885 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 9.885 * [taylor]: Taking taylor expansion of 0.5 in n 9.885 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 9.885 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 9.885 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 9.885 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.885 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.885 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.885 * [taylor]: Taking taylor expansion of 1.0 in n 9.885 * [taylor]: Taking taylor expansion of (log PI) in n 9.885 * [taylor]: Taking taylor expansion of PI in n 9.885 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.885 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.885 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.885 * [taylor]: Taking taylor expansion of 1.0 in n 9.885 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.885 * [taylor]: Taking taylor expansion of 2.0 in n 9.885 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.885 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.885 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.885 * [taylor]: Taking taylor expansion of 1.0 in n 9.885 * [taylor]: Taking taylor expansion of (log n) in n 9.885 * [taylor]: Taking taylor expansion of n in n 9.894 * [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 9.894 * [taylor]: Taking taylor expansion of 1.0 in n 9.894 * [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 9.894 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.894 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.894 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.894 * [taylor]: Taking taylor expansion of 0.5 in n 9.894 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.894 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.894 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 9.894 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.894 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.894 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.894 * [taylor]: Taking taylor expansion of 1.0 in n 9.894 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.894 * [taylor]: Taking taylor expansion of 2.0 in n 9.894 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.894 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.894 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.894 * [taylor]: Taking taylor expansion of 1.0 in n 9.894 * [taylor]: Taking taylor expansion of (log PI) in n 9.894 * [taylor]: Taking taylor expansion of PI in n 9.894 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.894 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.894 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.894 * [taylor]: Taking taylor expansion of 1.0 in n 9.894 * [taylor]: Taking taylor expansion of (log n) in n 9.894 * [taylor]: Taking taylor expansion of n in n 9.895 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 9.895 * [taylor]: Taking taylor expansion of NAN in n 9.898 * [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 9.898 * [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 9.898 * [taylor]: Taking taylor expansion of 1.0 in n 9.898 * [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 9.898 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 9.898 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 9.898 * [taylor]: Taking taylor expansion of (/ -1 k) in n 9.898 * [taylor]: Taking taylor expansion of -1 in n 9.898 * [taylor]: Taking taylor expansion of k in n 9.898 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.898 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.898 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.898 * [taylor]: Taking taylor expansion of 0.5 in n 9.898 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.898 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.898 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 9.898 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 9.898 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 9.898 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 9.898 * [taylor]: Taking taylor expansion of 1.0 in n 9.898 * [taylor]: Taking taylor expansion of (log -2.0) in n 9.898 * [taylor]: Taking taylor expansion of -2.0 in n 9.898 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.898 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.898 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.898 * [taylor]: Taking taylor expansion of 1.0 in n 9.898 * [taylor]: Taking taylor expansion of (log PI) in n 9.898 * [taylor]: Taking taylor expansion of PI in n 9.899 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.899 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.899 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.899 * [taylor]: Taking taylor expansion of 1.0 in n 9.899 * [taylor]: Taking taylor expansion of (log n) in n 9.899 * [taylor]: Taking taylor expansion of n in n 9.900 * [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 9.900 * [taylor]: Taking taylor expansion of 1.0 in k 9.900 * [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 9.900 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 9.900 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.900 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.900 * [taylor]: Taking taylor expansion of -1 in k 9.900 * [taylor]: Taking taylor expansion of k in k 9.900 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 9.900 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 9.900 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 9.900 * [taylor]: Taking taylor expansion of 0.5 in k 9.900 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 9.900 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 9.900 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 9.900 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 9.900 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 9.900 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 9.900 * [taylor]: Taking taylor expansion of 1.0 in k 9.900 * [taylor]: Taking taylor expansion of (log -2.0) in k 9.900 * [taylor]: Taking taylor expansion of -2.0 in k 9.900 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.900 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.900 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.900 * [taylor]: Taking taylor expansion of 1.0 in k 9.900 * [taylor]: Taking taylor expansion of (log PI) in k 9.900 * [taylor]: Taking taylor expansion of PI in k 9.900 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.900 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.900 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.900 * [taylor]: Taking taylor expansion of 1.0 in k 9.900 * [taylor]: Taking taylor expansion of (log n) in k 9.900 * [taylor]: Taking taylor expansion of n in k 9.901 * [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 9.901 * [taylor]: Taking taylor expansion of 1.0 in k 9.901 * [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 9.901 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 9.901 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.901 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.901 * [taylor]: Taking taylor expansion of -1 in k 9.901 * [taylor]: Taking taylor expansion of k in k 9.901 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 9.901 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 9.901 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 9.901 * [taylor]: Taking taylor expansion of 0.5 in k 9.901 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 9.901 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 9.901 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 9.902 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 9.902 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 9.902 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 9.902 * [taylor]: Taking taylor expansion of 1.0 in k 9.902 * [taylor]: Taking taylor expansion of (log -2.0) in k 9.902 * [taylor]: Taking taylor expansion of -2.0 in k 9.902 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 9.902 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 9.902 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 9.902 * [taylor]: Taking taylor expansion of 1.0 in k 9.902 * [taylor]: Taking taylor expansion of (log PI) in k 9.902 * [taylor]: Taking taylor expansion of PI in k 9.902 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 9.902 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 9.902 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 9.902 * [taylor]: Taking taylor expansion of 1.0 in k 9.902 * [taylor]: Taking taylor expansion of (log n) in k 9.902 * [taylor]: Taking taylor expansion of n in k 9.903 * [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 9.903 * [taylor]: Taking taylor expansion of 1.0 in n 9.903 * [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 9.903 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.903 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.903 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.903 * [taylor]: Taking taylor expansion of 0.5 in n 9.903 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.903 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.903 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 9.903 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 9.903 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 9.903 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 9.904 * [taylor]: Taking taylor expansion of 1.0 in n 9.904 * [taylor]: Taking taylor expansion of (log -2.0) in n 9.904 * [taylor]: Taking taylor expansion of -2.0 in n 9.904 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.904 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.904 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.904 * [taylor]: Taking taylor expansion of 1.0 in n 9.904 * [taylor]: Taking taylor expansion of (log PI) in n 9.904 * [taylor]: Taking taylor expansion of PI in n 9.904 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.904 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.904 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.904 * [taylor]: Taking taylor expansion of 1.0 in n 9.904 * [taylor]: Taking taylor expansion of (log n) in n 9.904 * [taylor]: Taking taylor expansion of n in n 9.905 * [taylor]: Taking taylor expansion of (/ 1 NAN) in n 9.905 * [taylor]: Taking taylor expansion of NAN in n 9.909 * [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 9.909 * [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 9.909 * [taylor]: Taking taylor expansion of 1.0 in n 9.909 * [taylor]: Taking taylor expansion of (* NAN (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 9.909 * [taylor]: Taking taylor expansion of NAN in n 9.909 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 9.909 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 9.909 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 9.909 * [taylor]: Taking taylor expansion of 0.5 in n 9.909 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 9.909 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 9.909 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 9.909 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 9.909 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 9.909 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 9.909 * [taylor]: Taking taylor expansion of 1.0 in n 9.909 * [taylor]: Taking taylor expansion of (log -2.0) in n 9.909 * [taylor]: Taking taylor expansion of -2.0 in n 9.909 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.909 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.909 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.909 * [taylor]: Taking taylor expansion of 1.0 in n 9.909 * [taylor]: Taking taylor expansion of (log PI) in n 9.909 * [taylor]: Taking taylor expansion of PI in n 9.909 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.909 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.909 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.909 * [taylor]: Taking taylor expansion of 1.0 in n 9.909 * [taylor]: Taking taylor expansion of (log n) in n 9.909 * [taylor]: Taking taylor expansion of n in n 9.917 * [taylor]: Taking taylor expansion of 0 in n 9.927 * [taylor]: Taking taylor expansion of 0 in n 9.927 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 9.927 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 9.927 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.928 * [taylor]: Taking taylor expansion of 1.0 in k 9.928 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.928 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.928 * [taylor]: Taking taylor expansion of k in k 9.928 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.928 * [taylor]: Taking taylor expansion of 1.0 in k 9.928 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.928 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.928 * [taylor]: Taking taylor expansion of k in k 9.929 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 9.929 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.929 * [taylor]: Taking taylor expansion of 1.0 in k 9.929 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.929 * [taylor]: Taking taylor expansion of k in k 9.929 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.929 * [taylor]: Taking taylor expansion of 1.0 in k 9.929 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.929 * [taylor]: Taking taylor expansion of k in k 9.930 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 9.930 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.930 * [taylor]: Taking taylor expansion of 1.0 in k 9.930 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.930 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.930 * [taylor]: Taking taylor expansion of -1 in k 9.930 * [taylor]: Taking taylor expansion of k in k 9.930 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.930 * [taylor]: Taking taylor expansion of 1.0 in k 9.930 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.930 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.930 * [taylor]: Taking taylor expansion of -1 in k 9.930 * [taylor]: Taking taylor expansion of k in k 9.935 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 9.935 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 9.935 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.935 * [taylor]: Taking taylor expansion of 2.0 in n 9.935 * [taylor]: Taking taylor expansion of (* n PI) in n 9.935 * [taylor]: Taking taylor expansion of n in n 9.935 * [taylor]: Taking taylor expansion of PI in n 9.935 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.935 * [taylor]: Taking taylor expansion of 2.0 in n 9.935 * [taylor]: Taking taylor expansion of (* n PI) in n 9.935 * [taylor]: Taking taylor expansion of n in n 9.935 * [taylor]: Taking taylor expansion of PI in n 9.936 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 9.936 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.936 * [taylor]: Taking taylor expansion of 2.0 in n 9.936 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.936 * [taylor]: Taking taylor expansion of PI in n 9.936 * [taylor]: Taking taylor expansion of n in n 9.936 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.936 * [taylor]: Taking taylor expansion of 2.0 in n 9.936 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.936 * [taylor]: Taking taylor expansion of PI in n 9.936 * [taylor]: Taking taylor expansion of n in n 9.937 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 9.937 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.937 * [taylor]: Taking taylor expansion of -2.0 in n 9.937 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.937 * [taylor]: Taking taylor expansion of PI in n 9.937 * [taylor]: Taking taylor expansion of n in n 9.937 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.937 * [taylor]: Taking taylor expansion of -2.0 in n 9.937 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.937 * [taylor]: Taking taylor expansion of PI in n 9.937 * [taylor]: Taking taylor expansion of n in n 9.938 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 9.938 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 9.938 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.938 * [taylor]: Taking taylor expansion of 2.0 in n 9.938 * [taylor]: Taking taylor expansion of (* n PI) in n 9.938 * [taylor]: Taking taylor expansion of n in n 9.938 * [taylor]: Taking taylor expansion of PI in n 9.938 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.938 * [taylor]: Taking taylor expansion of 2.0 in n 9.938 * [taylor]: Taking taylor expansion of (* n PI) in n 9.938 * [taylor]: Taking taylor expansion of n in n 9.938 * [taylor]: Taking taylor expansion of PI in n 9.939 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 9.939 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.939 * [taylor]: Taking taylor expansion of 2.0 in n 9.939 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.939 * [taylor]: Taking taylor expansion of PI in n 9.939 * [taylor]: Taking taylor expansion of n in n 9.939 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.939 * [taylor]: Taking taylor expansion of 2.0 in n 9.939 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.939 * [taylor]: Taking taylor expansion of PI in n 9.939 * [taylor]: Taking taylor expansion of n in n 9.940 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 9.940 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.940 * [taylor]: Taking taylor expansion of -2.0 in n 9.940 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.940 * [taylor]: Taking taylor expansion of PI in n 9.940 * [taylor]: Taking taylor expansion of n in n 9.940 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.940 * [taylor]: Taking taylor expansion of -2.0 in n 9.940 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.940 * [taylor]: Taking taylor expansion of PI in n 9.940 * [taylor]: Taking taylor expansion of n in n 9.941 * * * [progress]: simplifying candidates 9.943 * [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)) 9.951 * * [simplify]: iteration 0 : 621 enodes (cost 1038 ) 9.962 * * [simplify]: iteration 1 : 2688 enodes (cost 925 ) 10.004 * * [simplify]: iteration 2 : 5001 enodes (cost 915 ) 10.009 * [simplify]: Simplified to: (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt k)) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (* 1.0 (* k (pow NAN 3)))))) (+ (* 1.0 (* (/ (pow NAN 3) (pow k 2)) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5) (+ (* 1.0 (/ (pow NAN 5) (pow k 3))) (* 1.0 (/ NAN k))))) (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5) (* 1.0 (+ (/ NAN k) (/ 1 NAN)))) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 10.010 * * * [progress]: adding candidates to table 10.226 * * [progress]: iteration 4 / 4 10.226 * * * [progress]: picking best candidate 10.259 * * * * [pick]: Picked # 10.259 * * * [progress]: localizing error 10.281 * * * [progress]: generating rewritten candidates 10.281 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 10.291 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 10.307 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 10.311 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1 1) 10.321 * * * [progress]: generating series expansions 10.321 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 10.321 * [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 10.321 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 10.321 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 10.321 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 10.321 * [taylor]: Taking taylor expansion of 0.5 in n 10.321 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 10.322 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 10.322 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.322 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.322 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.322 * [taylor]: Taking taylor expansion of 1.0 in n 10.322 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.322 * [taylor]: Taking taylor expansion of 2.0 in n 10.322 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 10.322 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.322 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.322 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.322 * [taylor]: Taking taylor expansion of 1.0 in n 10.322 * [taylor]: Taking taylor expansion of (log n) in n 10.322 * [taylor]: Taking taylor expansion of n in n 10.322 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.322 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.322 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.322 * [taylor]: Taking taylor expansion of 1.0 in n 10.322 * [taylor]: Taking taylor expansion of (log PI) in n 10.322 * [taylor]: Taking taylor expansion of PI in n 10.323 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 10.323 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 10.323 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 10.323 * [taylor]: Taking taylor expansion of 0.5 in n 10.323 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 10.323 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 10.323 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.323 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.323 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.323 * [taylor]: Taking taylor expansion of 1.0 in n 10.323 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.323 * [taylor]: Taking taylor expansion of 2.0 in n 10.323 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 10.323 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.323 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.323 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.323 * [taylor]: Taking taylor expansion of 1.0 in n 10.323 * [taylor]: Taking taylor expansion of (log n) in n 10.323 * [taylor]: Taking taylor expansion of n in n 10.323 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.323 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.323 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.323 * [taylor]: Taking taylor expansion of 1.0 in n 10.323 * [taylor]: Taking taylor expansion of (log PI) in n 10.323 * [taylor]: Taking taylor expansion of PI in n 10.370 * [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 10.370 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 10.370 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 10.370 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 10.370 * [taylor]: Taking taylor expansion of 0.5 in n 10.370 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 10.370 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 10.370 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 10.370 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.370 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.370 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.370 * [taylor]: Taking taylor expansion of 1.0 in n 10.370 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.370 * [taylor]: Taking taylor expansion of 2.0 in n 10.370 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.370 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.370 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.370 * [taylor]: Taking taylor expansion of 1.0 in n 10.370 * [taylor]: Taking taylor expansion of (log PI) in n 10.370 * [taylor]: Taking taylor expansion of PI in n 10.370 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.370 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.370 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.370 * [taylor]: Taking taylor expansion of 1.0 in n 10.370 * [taylor]: Taking taylor expansion of (log n) in n 10.370 * [taylor]: Taking taylor expansion of n in n 10.371 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 10.371 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 10.371 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 10.371 * [taylor]: Taking taylor expansion of 0.5 in n 10.371 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 10.371 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 10.372 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 10.372 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.372 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.372 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.372 * [taylor]: Taking taylor expansion of 1.0 in n 10.372 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.372 * [taylor]: Taking taylor expansion of 2.0 in n 10.372 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.372 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.372 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.372 * [taylor]: Taking taylor expansion of 1.0 in n 10.372 * [taylor]: Taking taylor expansion of (log PI) in n 10.372 * [taylor]: Taking taylor expansion of PI in n 10.372 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.372 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.372 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.372 * [taylor]: Taking taylor expansion of 1.0 in n 10.372 * [taylor]: Taking taylor expansion of (log n) in n 10.372 * [taylor]: Taking taylor expansion of n in n 10.404 * [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 10.404 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 10.404 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 10.404 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 10.404 * [taylor]: Taking taylor expansion of 0.5 in n 10.405 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 10.405 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 10.405 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 10.405 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 10.405 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 10.405 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 10.405 * [taylor]: Taking taylor expansion of 1.0 in n 10.405 * [taylor]: Taking taylor expansion of (log -2.0) in n 10.405 * [taylor]: Taking taylor expansion of -2.0 in n 10.405 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.405 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.405 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.405 * [taylor]: Taking taylor expansion of 1.0 in n 10.405 * [taylor]: Taking taylor expansion of (log PI) in n 10.405 * [taylor]: Taking taylor expansion of PI in n 10.405 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.405 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.405 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.405 * [taylor]: Taking taylor expansion of 1.0 in n 10.405 * [taylor]: Taking taylor expansion of (log n) in n 10.405 * [taylor]: Taking taylor expansion of n in n 10.406 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 10.406 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 10.406 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 10.406 * [taylor]: Taking taylor expansion of 0.5 in n 10.406 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 10.406 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 10.406 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 10.406 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 10.406 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 10.406 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 10.406 * [taylor]: Taking taylor expansion of 1.0 in n 10.406 * [taylor]: Taking taylor expansion of (log -2.0) in n 10.406 * [taylor]: Taking taylor expansion of -2.0 in n 10.406 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.406 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.406 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.406 * [taylor]: Taking taylor expansion of 1.0 in n 10.406 * [taylor]: Taking taylor expansion of (log PI) in n 10.406 * [taylor]: Taking taylor expansion of PI in n 10.406 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.406 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.406 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.406 * [taylor]: Taking taylor expansion of 1.0 in n 10.406 * [taylor]: Taking taylor expansion of (log n) in n 10.406 * [taylor]: Taking taylor expansion of n in n 10.440 * * * * [progress]: [ 2 / 4 ] generating series at (2) 10.441 * [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 10.441 * [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 10.441 * [taylor]: Taking taylor expansion of 1.0 in k 10.441 * [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 10.441 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.441 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.441 * [taylor]: Taking taylor expansion of k in k 10.441 * [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 10.441 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 10.441 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 10.441 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 10.441 * [taylor]: Taking taylor expansion of 0.5 in k 10.441 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 10.441 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 10.441 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 10.441 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 10.441 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 10.441 * [taylor]: Taking taylor expansion of 1.0 in k 10.441 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.441 * [taylor]: Taking taylor expansion of 2.0 in k 10.441 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 10.441 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 10.441 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 10.441 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 10.441 * [taylor]: Taking taylor expansion of 1.0 in k 10.441 * [taylor]: Taking taylor expansion of (log n) in k 10.442 * [taylor]: Taking taylor expansion of n in k 10.442 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 10.442 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 10.442 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 10.442 * [taylor]: Taking taylor expansion of 1.0 in k 10.442 * [taylor]: Taking taylor expansion of (log PI) in k 10.442 * [taylor]: Taking taylor expansion of PI in k 10.442 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 10.443 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 10.443 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 10.443 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 10.443 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 10.443 * [taylor]: Taking taylor expansion of 0.5 in k 10.443 * [taylor]: Taking taylor expansion of k in k 10.443 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 10.443 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 10.443 * [taylor]: Taking taylor expansion of 2.0 in k 10.443 * [taylor]: Taking taylor expansion of (* n PI) in k 10.443 * [taylor]: Taking taylor expansion of n in k 10.443 * [taylor]: Taking taylor expansion of PI in k 10.443 * [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 10.443 * [taylor]: Taking taylor expansion of 1.0 in n 10.443 * [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 10.443 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 10.443 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.443 * [taylor]: Taking taylor expansion of k in n 10.443 * [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 10.443 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 10.443 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 10.443 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 10.443 * [taylor]: Taking taylor expansion of 0.5 in n 10.443 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 10.443 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 10.443 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.443 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.443 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.444 * [taylor]: Taking taylor expansion of 1.0 in n 10.444 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.444 * [taylor]: Taking taylor expansion of 2.0 in n 10.444 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 10.444 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.444 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.444 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.444 * [taylor]: Taking taylor expansion of 1.0 in n 10.444 * [taylor]: Taking taylor expansion of (log n) in n 10.444 * [taylor]: Taking taylor expansion of n in n 10.444 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.444 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.444 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.444 * [taylor]: Taking taylor expansion of 1.0 in n 10.444 * [taylor]: Taking taylor expansion of (log PI) in n 10.444 * [taylor]: Taking taylor expansion of PI in n 10.445 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 10.445 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 10.445 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 10.445 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 10.445 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 10.445 * [taylor]: Taking taylor expansion of 0.5 in n 10.445 * [taylor]: Taking taylor expansion of k in n 10.445 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 10.445 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.445 * [taylor]: Taking taylor expansion of 2.0 in n 10.445 * [taylor]: Taking taylor expansion of (* n PI) in n 10.445 * [taylor]: Taking taylor expansion of n in n 10.445 * [taylor]: Taking taylor expansion of PI in n 10.445 * [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 10.445 * [taylor]: Taking taylor expansion of 1.0 in n 10.445 * [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 10.445 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 10.445 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.445 * [taylor]: Taking taylor expansion of k in n 10.446 * [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 10.446 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 10.446 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 10.446 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 10.446 * [taylor]: Taking taylor expansion of 0.5 in n 10.446 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 10.446 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 10.446 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.446 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.446 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.446 * [taylor]: Taking taylor expansion of 1.0 in n 10.446 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.446 * [taylor]: Taking taylor expansion of 2.0 in n 10.446 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 10.446 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.446 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.446 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.446 * [taylor]: Taking taylor expansion of 1.0 in n 10.446 * [taylor]: Taking taylor expansion of (log n) in n 10.446 * [taylor]: Taking taylor expansion of n in n 10.446 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.446 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.446 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.446 * [taylor]: Taking taylor expansion of 1.0 in n 10.446 * [taylor]: Taking taylor expansion of (log PI) in n 10.446 * [taylor]: Taking taylor expansion of PI in n 10.447 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 10.447 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 10.447 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 10.447 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 10.447 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 10.447 * [taylor]: Taking taylor expansion of 0.5 in n 10.447 * [taylor]: Taking taylor expansion of k in n 10.447 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 10.447 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.447 * [taylor]: Taking taylor expansion of 2.0 in n 10.447 * [taylor]: Taking taylor expansion of (* n PI) in n 10.447 * [taylor]: Taking taylor expansion of n in n 10.447 * [taylor]: Taking taylor expansion of PI in n 10.449 * [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 10.449 * [taylor]: Taking taylor expansion of 1.0 in k 10.449 * [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 10.449 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.449 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.449 * [taylor]: Taking taylor expansion of k in k 10.449 * [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 10.449 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 10.449 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 10.449 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 10.449 * [taylor]: Taking taylor expansion of 0.5 in k 10.449 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 10.449 * [taylor]: Taking taylor expansion of k in k 10.449 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 10.449 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.449 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.449 * [taylor]: Taking taylor expansion of 2.0 in k 10.449 * [taylor]: Taking taylor expansion of PI in k 10.449 * [taylor]: Taking taylor expansion of (log n) in k 10.449 * [taylor]: Taking taylor expansion of n in k 10.449 * [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 10.449 * [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 10.450 * [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 10.450 * [taylor]: Taking taylor expansion of 0.5 in k 10.450 * [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 10.450 * [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 10.450 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 10.450 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 10.450 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 10.450 * [taylor]: Taking taylor expansion of 1.0 in k 10.450 * [taylor]: Taking taylor expansion of (log PI) in k 10.450 * [taylor]: Taking taylor expansion of PI in k 10.450 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 10.450 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 10.450 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 10.450 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 10.450 * [taylor]: Taking taylor expansion of 1.0 in k 10.450 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 10.450 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 10.450 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 10.450 * [taylor]: Taking taylor expansion of 1.0 in k 10.450 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 10.450 * [taylor]: Taking taylor expansion of (log 1) in k 10.450 * [taylor]: Taking taylor expansion of 1 in k 10.450 * [taylor]: Taking taylor expansion of (log n) in k 10.450 * [taylor]: Taking taylor expansion of n in k 10.450 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 10.450 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 10.450 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 10.450 * [taylor]: Taking taylor expansion of 1.0 in k 10.450 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.450 * [taylor]: Taking taylor expansion of 2.0 in k 10.455 * [taylor]: Taking taylor expansion of 0 in k 10.463 * [taylor]: Taking taylor expansion of 0 in k 10.478 * [taylor]: Taking taylor expansion of 0 in k 10.502 * [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 10.502 * [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 10.502 * [taylor]: Taking taylor expansion of 1.0 in k 10.502 * [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 10.503 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.503 * [taylor]: Taking taylor expansion of k in k 10.503 * [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 10.503 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 10.503 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 10.503 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 10.503 * [taylor]: Taking taylor expansion of 0.5 in k 10.503 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 10.503 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 10.503 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 10.503 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 10.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 10.503 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 10.503 * [taylor]: Taking taylor expansion of 1.0 in k 10.503 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.503 * [taylor]: Taking taylor expansion of 2.0 in k 10.503 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 10.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 10.503 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 10.503 * [taylor]: Taking taylor expansion of 1.0 in k 10.503 * [taylor]: Taking taylor expansion of (log PI) in k 10.503 * [taylor]: Taking taylor expansion of PI in k 10.503 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 10.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 10.503 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 10.503 * [taylor]: Taking taylor expansion of 1.0 in k 10.503 * [taylor]: Taking taylor expansion of (log n) in k 10.503 * [taylor]: Taking taylor expansion of n in k 10.504 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 10.504 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 10.504 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 10.504 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 10.504 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 10.504 * [taylor]: Taking taylor expansion of 0.5 in k 10.504 * [taylor]: Taking taylor expansion of k in k 10.504 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 10.504 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 10.504 * [taylor]: Taking taylor expansion of 2.0 in k 10.504 * [taylor]: Taking taylor expansion of (/ PI n) in k 10.504 * [taylor]: Taking taylor expansion of PI in k 10.504 * [taylor]: Taking taylor expansion of n in k 10.505 * [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 10.505 * [taylor]: Taking taylor expansion of 1.0 in n 10.505 * [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 10.505 * [taylor]: Taking taylor expansion of (sqrt k) in n 10.505 * [taylor]: Taking taylor expansion of k in n 10.505 * [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 10.505 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 10.505 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 10.505 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 10.505 * [taylor]: Taking taylor expansion of 0.5 in n 10.505 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 10.505 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 10.505 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 10.505 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.505 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.505 * [taylor]: Taking taylor expansion of 1.0 in n 10.505 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.505 * [taylor]: Taking taylor expansion of 2.0 in n 10.505 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.505 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.505 * [taylor]: Taking taylor expansion of 1.0 in n 10.505 * [taylor]: Taking taylor expansion of (log PI) in n 10.505 * [taylor]: Taking taylor expansion of PI in n 10.505 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.505 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.505 * [taylor]: Taking taylor expansion of 1.0 in n 10.505 * [taylor]: Taking taylor expansion of (log n) in n 10.505 * [taylor]: Taking taylor expansion of n in n 10.506 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 10.506 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 10.506 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 10.506 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 10.506 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 10.506 * [taylor]: Taking taylor expansion of 0.5 in n 10.506 * [taylor]: Taking taylor expansion of k in n 10.506 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 10.506 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.506 * [taylor]: Taking taylor expansion of 2.0 in n 10.506 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.506 * [taylor]: Taking taylor expansion of PI in n 10.506 * [taylor]: Taking taylor expansion of n in n 10.507 * [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 10.507 * [taylor]: Taking taylor expansion of 1.0 in n 10.507 * [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 10.507 * [taylor]: Taking taylor expansion of (sqrt k) in n 10.507 * [taylor]: Taking taylor expansion of k in n 10.507 * [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 10.507 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 10.507 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 10.507 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 10.507 * [taylor]: Taking taylor expansion of 0.5 in n 10.507 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 10.507 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 10.507 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 10.507 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.507 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.507 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.507 * [taylor]: Taking taylor expansion of 1.0 in n 10.507 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.507 * [taylor]: Taking taylor expansion of 2.0 in n 10.507 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.507 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.507 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.507 * [taylor]: Taking taylor expansion of 1.0 in n 10.507 * [taylor]: Taking taylor expansion of (log PI) in n 10.507 * [taylor]: Taking taylor expansion of PI in n 10.507 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.507 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.507 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.508 * [taylor]: Taking taylor expansion of 1.0 in n 10.508 * [taylor]: Taking taylor expansion of (log n) in n 10.508 * [taylor]: Taking taylor expansion of n in n 10.509 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 10.509 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 10.509 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 10.509 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 10.509 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 10.509 * [taylor]: Taking taylor expansion of 0.5 in n 10.509 * [taylor]: Taking taylor expansion of k in n 10.509 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 10.509 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.509 * [taylor]: Taking taylor expansion of 2.0 in n 10.509 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.509 * [taylor]: Taking taylor expansion of PI in n 10.509 * [taylor]: Taking taylor expansion of n in n 10.510 * [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 10.511 * [taylor]: Taking taylor expansion of 1.0 in k 10.511 * [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 10.511 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.511 * [taylor]: Taking taylor expansion of k in k 10.511 * [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 10.511 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 10.511 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 10.511 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 10.511 * [taylor]: Taking taylor expansion of 0.5 in k 10.511 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 10.511 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 10.511 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.511 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.511 * [taylor]: Taking taylor expansion of 2.0 in k 10.511 * [taylor]: Taking taylor expansion of PI in k 10.511 * [taylor]: Taking taylor expansion of (log n) in k 10.511 * [taylor]: Taking taylor expansion of n in k 10.511 * [taylor]: Taking taylor expansion of k in k 10.511 * [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 10.511 * [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 10.511 * [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 10.511 * [taylor]: Taking taylor expansion of 0.5 in k 10.511 * [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 10.511 * [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 10.511 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 10.511 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 10.511 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 10.511 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 10.511 * [taylor]: Taking taylor expansion of 1.0 in k 10.511 * [taylor]: Taking taylor expansion of (log PI) in k 10.512 * [taylor]: Taking taylor expansion of PI in k 10.512 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 10.512 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 10.512 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 10.512 * [taylor]: Taking taylor expansion of 1.0 in k 10.512 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.512 * [taylor]: Taking taylor expansion of 2.0 in k 10.512 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 10.512 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 10.512 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 10.512 * [taylor]: Taking taylor expansion of 1.0 in k 10.512 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 10.512 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 10.512 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 10.512 * [taylor]: Taking taylor expansion of 1.0 in k 10.512 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 10.512 * [taylor]: Taking taylor expansion of (log 1) in k 10.512 * [taylor]: Taking taylor expansion of 1 in k 10.512 * [taylor]: Taking taylor expansion of (log n) in k 10.512 * [taylor]: Taking taylor expansion of n in k 10.517 * [taylor]: Taking taylor expansion of 0 in k 10.527 * [taylor]: Taking taylor expansion of 0 in k 10.538 * [taylor]: Taking taylor expansion of 0 in k 10.548 * [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 10.548 * [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 10.548 * [taylor]: Taking taylor expansion of 1.0 in k 10.548 * [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 10.548 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 10.548 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 10.548 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.548 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.548 * [taylor]: Taking taylor expansion of -1 in k 10.548 * [taylor]: Taking taylor expansion of k in k 10.548 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 10.548 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 10.548 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 10.548 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 10.548 * [taylor]: Taking taylor expansion of -0.5 in k 10.548 * [taylor]: Taking taylor expansion of k in k 10.548 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 10.549 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 10.549 * [taylor]: Taking taylor expansion of -2.0 in k 10.549 * [taylor]: Taking taylor expansion of (/ PI n) in k 10.549 * [taylor]: Taking taylor expansion of PI in k 10.549 * [taylor]: Taking taylor expansion of n in k 10.549 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 10.549 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 10.549 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 10.549 * [taylor]: Taking taylor expansion of 0.5 in k 10.549 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 10.549 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 10.549 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 10.549 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 10.549 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 10.549 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 10.549 * [taylor]: Taking taylor expansion of 1.0 in k 10.549 * [taylor]: Taking taylor expansion of (log -2.0) in k 10.549 * [taylor]: Taking taylor expansion of -2.0 in k 10.549 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 10.549 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 10.549 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 10.549 * [taylor]: Taking taylor expansion of 1.0 in k 10.549 * [taylor]: Taking taylor expansion of (log PI) in k 10.549 * [taylor]: Taking taylor expansion of PI in k 10.549 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 10.549 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 10.549 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 10.549 * [taylor]: Taking taylor expansion of 1.0 in k 10.549 * [taylor]: Taking taylor expansion of (log n) in k 10.550 * [taylor]: Taking taylor expansion of n in k 10.550 * [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 10.550 * [taylor]: Taking taylor expansion of 1.0 in n 10.550 * [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 10.550 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 10.550 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 10.550 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 10.550 * [taylor]: Taking taylor expansion of (/ -1 k) in n 10.550 * [taylor]: Taking taylor expansion of -1 in n 10.551 * [taylor]: Taking taylor expansion of k in n 10.551 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 10.551 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 10.551 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 10.551 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 10.551 * [taylor]: Taking taylor expansion of -0.5 in n 10.551 * [taylor]: Taking taylor expansion of k in n 10.551 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 10.551 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.551 * [taylor]: Taking taylor expansion of -2.0 in n 10.551 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.551 * [taylor]: Taking taylor expansion of PI in n 10.551 * [taylor]: Taking taylor expansion of n in n 10.551 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 10.551 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 10.551 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 10.551 * [taylor]: Taking taylor expansion of 0.5 in n 10.551 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 10.551 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 10.551 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 10.551 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 10.551 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 10.551 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 10.551 * [taylor]: Taking taylor expansion of 1.0 in n 10.551 * [taylor]: Taking taylor expansion of (log -2.0) in n 10.551 * [taylor]: Taking taylor expansion of -2.0 in n 10.552 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.552 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.552 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.552 * [taylor]: Taking taylor expansion of 1.0 in n 10.552 * [taylor]: Taking taylor expansion of (log PI) in n 10.552 * [taylor]: Taking taylor expansion of PI in n 10.552 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.552 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.552 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.552 * [taylor]: Taking taylor expansion of 1.0 in n 10.552 * [taylor]: Taking taylor expansion of (log n) in n 10.552 * [taylor]: Taking taylor expansion of n in n 10.553 * [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 10.553 * [taylor]: Taking taylor expansion of 1.0 in n 10.553 * [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 10.553 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 10.553 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 10.553 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 10.553 * [taylor]: Taking taylor expansion of (/ -1 k) in n 10.553 * [taylor]: Taking taylor expansion of -1 in n 10.553 * [taylor]: Taking taylor expansion of k in n 10.553 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 10.553 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 10.553 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 10.553 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 10.553 * [taylor]: Taking taylor expansion of -0.5 in n 10.553 * [taylor]: Taking taylor expansion of k in n 10.553 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 10.553 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.553 * [taylor]: Taking taylor expansion of -2.0 in n 10.553 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.553 * [taylor]: Taking taylor expansion of PI in n 10.553 * [taylor]: Taking taylor expansion of n in n 10.554 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 10.554 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 10.554 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 10.554 * [taylor]: Taking taylor expansion of 0.5 in n 10.554 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 10.554 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 10.554 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 10.554 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 10.554 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 10.554 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 10.554 * [taylor]: Taking taylor expansion of 1.0 in n 10.554 * [taylor]: Taking taylor expansion of (log -2.0) in n 10.554 * [taylor]: Taking taylor expansion of -2.0 in n 10.554 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.554 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.554 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.554 * [taylor]: Taking taylor expansion of 1.0 in n 10.554 * [taylor]: Taking taylor expansion of (log PI) in n 10.554 * [taylor]: Taking taylor expansion of PI in n 10.554 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.554 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.554 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.554 * [taylor]: Taking taylor expansion of 1.0 in n 10.554 * [taylor]: Taking taylor expansion of (log n) in n 10.554 * [taylor]: Taking taylor expansion of n in n 10.556 * [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 10.556 * [taylor]: Taking taylor expansion of 1.0 in k 10.556 * [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 10.556 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 10.556 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 10.556 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 10.556 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 10.556 * [taylor]: Taking taylor expansion of -0.5 in k 10.556 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 10.556 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 10.556 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 10.556 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 10.556 * [taylor]: Taking taylor expansion of -2.0 in k 10.556 * [taylor]: Taking taylor expansion of PI in k 10.556 * [taylor]: Taking taylor expansion of (log n) in k 10.556 * [taylor]: Taking taylor expansion of n in k 10.556 * [taylor]: Taking taylor expansion of k in k 10.556 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.556 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.556 * [taylor]: Taking taylor expansion of -1 in k 10.556 * [taylor]: Taking taylor expansion of k in k 10.557 * [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 10.557 * [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 10.557 * [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 10.557 * [taylor]: Taking taylor expansion of 0.5 in k 10.557 * [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 10.557 * [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 10.557 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 10.557 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 10.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 10.557 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 10.557 * [taylor]: Taking taylor expansion of 1.0 in k 10.557 * [taylor]: Taking taylor expansion of (log -2.0) in k 10.557 * [taylor]: Taking taylor expansion of -2.0 in k 10.557 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 10.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 10.557 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 10.557 * [taylor]: Taking taylor expansion of 1.0 in k 10.557 * [taylor]: Taking taylor expansion of (log PI) in k 10.557 * [taylor]: Taking taylor expansion of PI in k 10.557 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 10.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 10.557 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 10.557 * [taylor]: Taking taylor expansion of 1.0 in k 10.557 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 10.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 10.557 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 10.557 * [taylor]: Taking taylor expansion of 1.0 in k 10.557 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 10.557 * [taylor]: Taking taylor expansion of (log 1) in k 10.557 * [taylor]: Taking taylor expansion of 1 in k 10.557 * [taylor]: Taking taylor expansion of (log n) in k 10.557 * [taylor]: Taking taylor expansion of n in k 10.563 * [taylor]: Taking taylor expansion of 0 in k 10.572 * [taylor]: Taking taylor expansion of 0 in k 10.583 * [taylor]: Taking taylor expansion of 0 in k 10.584 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 10.584 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 10.584 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.584 * [taylor]: Taking taylor expansion of 2.0 in n 10.584 * [taylor]: Taking taylor expansion of (* n PI) in n 10.584 * [taylor]: Taking taylor expansion of n in n 10.584 * [taylor]: Taking taylor expansion of PI in n 10.584 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.584 * [taylor]: Taking taylor expansion of 2.0 in n 10.584 * [taylor]: Taking taylor expansion of (* n PI) in n 10.584 * [taylor]: Taking taylor expansion of n in n 10.584 * [taylor]: Taking taylor expansion of PI in n 10.585 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 10.585 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.585 * [taylor]: Taking taylor expansion of 2.0 in n 10.585 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.585 * [taylor]: Taking taylor expansion of PI in n 10.585 * [taylor]: Taking taylor expansion of n in n 10.585 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.585 * [taylor]: Taking taylor expansion of 2.0 in n 10.585 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.585 * [taylor]: Taking taylor expansion of PI in n 10.585 * [taylor]: Taking taylor expansion of n in n 10.586 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 10.586 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.586 * [taylor]: Taking taylor expansion of -2.0 in n 10.586 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.586 * [taylor]: Taking taylor expansion of PI in n 10.586 * [taylor]: Taking taylor expansion of n in n 10.586 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.586 * [taylor]: Taking taylor expansion of -2.0 in n 10.586 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.586 * [taylor]: Taking taylor expansion of PI in n 10.586 * [taylor]: Taking taylor expansion of n in n 10.587 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1 1) 10.587 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 10.587 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.587 * [taylor]: Taking taylor expansion of 2.0 in n 10.587 * [taylor]: Taking taylor expansion of (* n PI) in n 10.587 * [taylor]: Taking taylor expansion of n in n 10.587 * [taylor]: Taking taylor expansion of PI in n 10.587 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.587 * [taylor]: Taking taylor expansion of 2.0 in n 10.587 * [taylor]: Taking taylor expansion of (* n PI) in n 10.587 * [taylor]: Taking taylor expansion of n in n 10.587 * [taylor]: Taking taylor expansion of PI in n 10.588 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 10.588 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.588 * [taylor]: Taking taylor expansion of 2.0 in n 10.588 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.588 * [taylor]: Taking taylor expansion of PI in n 10.588 * [taylor]: Taking taylor expansion of n in n 10.588 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.588 * [taylor]: Taking taylor expansion of 2.0 in n 10.588 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.588 * [taylor]: Taking taylor expansion of PI in n 10.588 * [taylor]: Taking taylor expansion of n in n 10.589 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 10.589 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.589 * [taylor]: Taking taylor expansion of -2.0 in n 10.589 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.589 * [taylor]: Taking taylor expansion of PI in n 10.589 * [taylor]: Taking taylor expansion of n in n 10.589 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.589 * [taylor]: Taking taylor expansion of -2.0 in n 10.589 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.589 * [taylor]: Taking taylor expansion of PI in n 10.589 * [taylor]: Taking taylor expansion of n in n 10.590 * * * [progress]: simplifying candidates 10.593 * [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 (* (* 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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) 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(* 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)) 10.605 * * [simplify]: iteration 0 : 914 enodes (cost 1861 ) 10.622 * * [simplify]: iteration 1 : 4641 enodes (cost 1418 ) 10.710 * * [simplify]: iteration 2 : 5001 enodes (cost 1398 ) 10.720 * [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)) 10.721 * * * [progress]: adding candidates to table 10.962 * [progress]: [Phase 3 of 3] Extracting. 10.963 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 10.965 * * * [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) 10.965 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 11.034 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # # #) 11.111 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 11.178 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 11.246 * * * [regime]: Found split indices: #