27.037 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.180 * * * [progress]: [2/2] Setting up program. 0.184 * [progress]: [Phase 2 of 3] Improving. 0.184 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.185 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.186 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.190 * * [simplify]: iteration 2 : 57 enodes (cost 16 ) 0.198 * * [simplify]: iteration 3 : 113 enodes (cost 16 ) 0.221 * * [simplify]: iteration 4 : 291 enodes (cost 16 ) 0.347 * * [simplify]: iteration 5 : 793 enodes (cost 16 ) 1.422 * * [simplify]: iteration 6 : 3005 enodes (cost 16 ) 2.626 * * [simplify]: iteration done : 5000 enodes (cost 16 ) 2.626 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 2.627 * * [progress]: iteration 1 / 4 2.627 * * * [progress]: picking best candidate 2.630 * * * * [pick]: Picked # 2.630 * * * [progress]: localizing error 2.642 * * * [progress]: generating rewritten candidates 2.642 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.652 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.660 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.665 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.683 * * * [progress]: generating series expansions 2.683 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.684 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.684 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.684 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.684 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.684 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.684 * [taylor]: Taking taylor expansion of 0.5 in k 2.684 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.684 * [taylor]: Taking taylor expansion of 1.0 in k 2.684 * [taylor]: Taking taylor expansion of k in k 2.684 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.684 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.684 * [taylor]: Taking taylor expansion of 2.0 in k 2.684 * [taylor]: Taking taylor expansion of (* n PI) in k 2.684 * [taylor]: Taking taylor expansion of n in k 2.684 * [taylor]: Taking taylor expansion of PI in k 2.684 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.684 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.684 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.684 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.684 * [taylor]: Taking taylor expansion of 0.5 in n 2.684 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.684 * [taylor]: Taking taylor expansion of 1.0 in n 2.684 * [taylor]: Taking taylor expansion of k in n 2.684 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.684 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.684 * [taylor]: Taking taylor expansion of 2.0 in n 2.684 * [taylor]: Taking taylor expansion of (* n PI) in n 2.684 * [taylor]: Taking taylor expansion of n in n 2.684 * [taylor]: Taking taylor expansion of PI in n 2.685 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.685 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.685 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.685 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.685 * [taylor]: Taking taylor expansion of 0.5 in n 2.685 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.685 * [taylor]: Taking taylor expansion of 1.0 in n 2.685 * [taylor]: Taking taylor expansion of k in n 2.685 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.685 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.685 * [taylor]: Taking taylor expansion of 2.0 in n 2.685 * [taylor]: Taking taylor expansion of (* n PI) in n 2.685 * [taylor]: Taking taylor expansion of n in n 2.685 * [taylor]: Taking taylor expansion of PI in n 2.685 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.685 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.685 * [taylor]: Taking taylor expansion of 0.5 in k 2.685 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.685 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.686 * [taylor]: Taking taylor expansion of 1.0 in k 2.686 * [taylor]: Taking taylor expansion of k in k 2.686 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.686 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.686 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.686 * [taylor]: Taking taylor expansion of 2.0 in k 2.686 * [taylor]: Taking taylor expansion of PI in k 2.686 * [taylor]: Taking taylor expansion of (log n) in k 2.686 * [taylor]: Taking taylor expansion of n in k 2.687 * [taylor]: Taking taylor expansion of 0 in k 2.688 * [taylor]: Taking taylor expansion of 0 in k 2.691 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.691 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.691 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.691 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.691 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.691 * [taylor]: Taking taylor expansion of 0.5 in k 2.691 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.691 * [taylor]: Taking taylor expansion of 1.0 in k 2.691 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.691 * [taylor]: Taking taylor expansion of k in k 2.691 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.691 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.691 * [taylor]: Taking taylor expansion of 2.0 in k 2.691 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.691 * [taylor]: Taking taylor expansion of PI in k 2.691 * [taylor]: Taking taylor expansion of n in k 2.691 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.691 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.691 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.691 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.691 * [taylor]: Taking taylor expansion of 0.5 in n 2.691 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.691 * [taylor]: Taking taylor expansion of 1.0 in n 2.691 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.691 * [taylor]: Taking taylor expansion of k in n 2.691 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.691 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.691 * [taylor]: Taking taylor expansion of 2.0 in n 2.691 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.692 * [taylor]: Taking taylor expansion of PI in n 2.692 * [taylor]: Taking taylor expansion of n in n 2.692 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.692 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.692 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.692 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.692 * [taylor]: Taking taylor expansion of 0.5 in n 2.692 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.692 * [taylor]: Taking taylor expansion of 1.0 in n 2.692 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.692 * [taylor]: Taking taylor expansion of k in n 2.692 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.692 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.692 * [taylor]: Taking taylor expansion of 2.0 in n 2.692 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.692 * [taylor]: Taking taylor expansion of PI in n 2.692 * [taylor]: Taking taylor expansion of n in n 2.693 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.693 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.693 * [taylor]: Taking taylor expansion of 0.5 in k 2.693 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.693 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.693 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.693 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.693 * [taylor]: Taking taylor expansion of 2.0 in k 2.693 * [taylor]: Taking taylor expansion of PI in k 2.693 * [taylor]: Taking taylor expansion of (log n) in k 2.693 * [taylor]: Taking taylor expansion of n in k 2.693 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.693 * [taylor]: Taking taylor expansion of 1.0 in k 2.693 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.693 * [taylor]: Taking taylor expansion of k in k 2.694 * [taylor]: Taking taylor expansion of 0 in k 2.695 * [taylor]: Taking taylor expansion of 0 in k 2.696 * [taylor]: Taking taylor expansion of 0 in k 2.696 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.696 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.696 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.696 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.696 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.696 * [taylor]: Taking taylor expansion of 0.5 in k 2.696 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.696 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.696 * [taylor]: Taking taylor expansion of k in k 2.696 * [taylor]: Taking taylor expansion of 1.0 in k 2.696 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.696 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.697 * [taylor]: Taking taylor expansion of -2.0 in k 2.697 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.697 * [taylor]: Taking taylor expansion of PI in k 2.697 * [taylor]: Taking taylor expansion of n in k 2.697 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.697 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.697 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.697 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.697 * [taylor]: Taking taylor expansion of 0.5 in n 2.697 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.697 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.697 * [taylor]: Taking taylor expansion of k in n 2.697 * [taylor]: Taking taylor expansion of 1.0 in n 2.697 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.697 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.697 * [taylor]: Taking taylor expansion of -2.0 in n 2.697 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.697 * [taylor]: Taking taylor expansion of PI in n 2.697 * [taylor]: Taking taylor expansion of n in n 2.697 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.697 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.697 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.698 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.698 * [taylor]: Taking taylor expansion of 0.5 in n 2.698 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.698 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.698 * [taylor]: Taking taylor expansion of k in n 2.698 * [taylor]: Taking taylor expansion of 1.0 in n 2.698 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.698 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.698 * [taylor]: Taking taylor expansion of -2.0 in n 2.698 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.698 * [taylor]: Taking taylor expansion of PI in n 2.698 * [taylor]: Taking taylor expansion of n in n 2.698 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 2.698 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 2.698 * [taylor]: Taking taylor expansion of 0.5 in k 2.698 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 2.698 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.698 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.698 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.698 * [taylor]: Taking taylor expansion of -2.0 in k 2.698 * [taylor]: Taking taylor expansion of PI in k 2.698 * [taylor]: Taking taylor expansion of (log n) in k 2.698 * [taylor]: Taking taylor expansion of n in k 2.698 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.698 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.698 * [taylor]: Taking taylor expansion of k in k 2.698 * [taylor]: Taking taylor expansion of 1.0 in k 2.699 * [taylor]: Taking taylor expansion of 0 in k 2.700 * [taylor]: Taking taylor expansion of 0 in k 2.701 * [taylor]: Taking taylor expansion of 0 in k 2.701 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.701 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.701 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.702 * [taylor]: Taking taylor expansion of 1.0 in k 2.702 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.702 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.702 * [taylor]: Taking taylor expansion of k in k 2.702 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.702 * [taylor]: Taking taylor expansion of 1.0 in k 2.702 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.702 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.702 * [taylor]: Taking taylor expansion of k in k 2.703 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.703 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.703 * [taylor]: Taking taylor expansion of 1.0 in k 2.703 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.703 * [taylor]: Taking taylor expansion of k in k 2.703 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.703 * [taylor]: Taking taylor expansion of 1.0 in k 2.703 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.703 * [taylor]: Taking taylor expansion of k in k 2.704 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.704 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.704 * [taylor]: Taking taylor expansion of 1.0 in k 2.704 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.704 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.704 * [taylor]: Taking taylor expansion of -1 in k 2.704 * [taylor]: Taking taylor expansion of k in k 2.704 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.704 * [taylor]: Taking taylor expansion of 1.0 in k 2.704 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.704 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.704 * [taylor]: Taking taylor expansion of -1 in k 2.704 * [taylor]: Taking taylor expansion of k in k 2.709 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.709 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.710 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.710 * [taylor]: Taking taylor expansion of 2.0 in n 2.710 * [taylor]: Taking taylor expansion of (* n PI) in n 2.710 * [taylor]: Taking taylor expansion of n in n 2.710 * [taylor]: Taking taylor expansion of PI in n 2.710 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.710 * [taylor]: Taking taylor expansion of 2.0 in n 2.710 * [taylor]: Taking taylor expansion of (* n PI) in n 2.710 * [taylor]: Taking taylor expansion of n in n 2.710 * [taylor]: Taking taylor expansion of PI in n 2.711 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.711 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.711 * [taylor]: Taking taylor expansion of 2.0 in n 2.711 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.711 * [taylor]: Taking taylor expansion of PI in n 2.711 * [taylor]: Taking taylor expansion of n in n 2.711 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.711 * [taylor]: Taking taylor expansion of 2.0 in n 2.711 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.711 * [taylor]: Taking taylor expansion of PI in n 2.711 * [taylor]: Taking taylor expansion of n in n 2.712 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.712 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.712 * [taylor]: Taking taylor expansion of -2.0 in n 2.712 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.712 * [taylor]: Taking taylor expansion of PI in n 2.712 * [taylor]: Taking taylor expansion of n in n 2.712 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.712 * [taylor]: Taking taylor expansion of -2.0 in n 2.712 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.712 * [taylor]: Taking taylor expansion of PI in n 2.712 * [taylor]: Taking taylor expansion of n in n 2.713 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.713 * [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 2.714 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 2.714 * [taylor]: Taking taylor expansion of 1.0 in n 2.714 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.714 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.714 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.714 * [taylor]: Taking taylor expansion of k in n 2.714 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.714 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.714 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.714 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.714 * [taylor]: Taking taylor expansion of 0.5 in n 2.714 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.714 * [taylor]: Taking taylor expansion of 1.0 in n 2.714 * [taylor]: Taking taylor expansion of k in n 2.714 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.714 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.714 * [taylor]: Taking taylor expansion of 2.0 in n 2.714 * [taylor]: Taking taylor expansion of (* n PI) in n 2.714 * [taylor]: Taking taylor expansion of n in n 2.714 * [taylor]: Taking taylor expansion of PI in n 2.714 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.714 * [taylor]: Taking taylor expansion of 1.0 in k 2.714 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.714 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.714 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.714 * [taylor]: Taking taylor expansion of k in k 2.714 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.715 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.715 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.715 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.715 * [taylor]: Taking taylor expansion of 0.5 in k 2.715 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.715 * [taylor]: Taking taylor expansion of 1.0 in k 2.715 * [taylor]: Taking taylor expansion of k in k 2.715 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.715 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.715 * [taylor]: Taking taylor expansion of 2.0 in k 2.715 * [taylor]: Taking taylor expansion of (* n PI) in k 2.715 * [taylor]: Taking taylor expansion of n in k 2.715 * [taylor]: Taking taylor expansion of PI in k 2.715 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.715 * [taylor]: Taking taylor expansion of 1.0 in k 2.715 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.715 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.715 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.715 * [taylor]: Taking taylor expansion of k in k 2.715 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.715 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.715 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.715 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.715 * [taylor]: Taking taylor expansion of 0.5 in k 2.715 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.715 * [taylor]: Taking taylor expansion of 1.0 in k 2.715 * [taylor]: Taking taylor expansion of k in k 2.715 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.715 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.715 * [taylor]: Taking taylor expansion of 2.0 in k 2.715 * [taylor]: Taking taylor expansion of (* n PI) in k 2.715 * [taylor]: Taking taylor expansion of n in k 2.715 * [taylor]: Taking taylor expansion of PI in k 2.716 * [taylor]: Taking taylor expansion of 0 in n 2.717 * [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 2.717 * [taylor]: Taking taylor expansion of 1.0 in n 2.717 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.717 * [taylor]: Taking taylor expansion of NAN in n 2.717 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.717 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.717 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.717 * [taylor]: Taking taylor expansion of 0.5 in n 2.717 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.717 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.717 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.717 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.717 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.717 * [taylor]: Taking taylor expansion of 1.0 in n 2.717 * [taylor]: Taking taylor expansion of (log PI) in n 2.717 * [taylor]: Taking taylor expansion of PI in n 2.717 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.717 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.717 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.717 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.717 * [taylor]: Taking taylor expansion of 1.0 in n 2.717 * [taylor]: Taking taylor expansion of (log n) in n 2.717 * [taylor]: Taking taylor expansion of n in n 2.717 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.717 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.717 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.717 * [taylor]: Taking taylor expansion of 1.0 in n 2.717 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.717 * [taylor]: Taking taylor expansion of 2.0 in n 2.721 * [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 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 (* n PI))) NAN)))) in n 2.721 * [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 2.721 * [taylor]: Taking taylor expansion of 1.0 in n 2.721 * [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 2.721 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.721 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.722 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.722 * [taylor]: Taking taylor expansion of 0.5 in n 2.722 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.722 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.722 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.722 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.722 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.722 * [taylor]: Taking taylor expansion of 1.0 in n 2.722 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.722 * [taylor]: Taking taylor expansion of 2.0 in n 2.722 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.722 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.722 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.722 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.722 * [taylor]: Taking taylor expansion of 1.0 in n 2.722 * [taylor]: Taking taylor expansion of (log n) in n 2.722 * [taylor]: Taking taylor expansion of n in n 2.722 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.722 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.722 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.722 * [taylor]: Taking taylor expansion of 1.0 in n 2.722 * [taylor]: Taking taylor expansion of (log PI) in n 2.722 * [taylor]: Taking taylor expansion of PI in n 2.723 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.723 * [taylor]: Taking taylor expansion of NAN in n 2.723 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 (* n PI))) NAN))) in n 2.723 * [taylor]: Taking taylor expansion of 0.5 in n 2.723 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 (* n PI))) NAN)) in n 2.723 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.723 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.723 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.723 * [taylor]: Taking taylor expansion of 0.5 in n 2.723 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.723 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.723 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.723 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.723 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.723 * [taylor]: Taking taylor expansion of 1.0 in n 2.723 * [taylor]: Taking taylor expansion of (log PI) in n 2.723 * [taylor]: Taking taylor expansion of PI in n 2.724 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.724 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.724 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.724 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.724 * [taylor]: Taking taylor expansion of 1.0 in n 2.724 * [taylor]: Taking taylor expansion of (log n) in n 2.724 * [taylor]: Taking taylor expansion of n in n 2.724 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.724 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.724 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.724 * [taylor]: Taking taylor expansion of 1.0 in n 2.724 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.724 * [taylor]: Taking taylor expansion of 2.0 in n 2.725 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 2.725 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.725 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.725 * [taylor]: Taking taylor expansion of 2.0 in n 2.725 * [taylor]: Taking taylor expansion of (* n PI) in n 2.725 * [taylor]: Taking taylor expansion of n in n 2.725 * [taylor]: Taking taylor expansion of PI in n 2.725 * [taylor]: Taking taylor expansion of NAN in n 2.735 * [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))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 (* n PI))) 2) NAN)))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 (* n PI))) (pow NAN 3))))) in n 2.735 * [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))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 (* n PI))) 2) NAN)))) in n 2.735 * [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 2.735 * [taylor]: Taking taylor expansion of 1.0 in n 2.735 * [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 2.735 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.735 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.735 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.735 * [taylor]: Taking taylor expansion of 0.5 in n 2.735 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.736 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.736 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.736 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.736 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.736 * [taylor]: Taking taylor expansion of 1.0 in n 2.736 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.736 * [taylor]: Taking taylor expansion of 2.0 in n 2.736 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.736 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.736 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.736 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.736 * [taylor]: Taking taylor expansion of 1.0 in n 2.736 * [taylor]: Taking taylor expansion of (log n) in n 2.736 * [taylor]: Taking taylor expansion of n in n 2.736 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.736 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.736 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.736 * [taylor]: Taking taylor expansion of 1.0 in n 2.736 * [taylor]: Taking taylor expansion of (log PI) in n 2.736 * [taylor]: Taking taylor expansion of PI in n 2.737 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 2.737 * [taylor]: Taking taylor expansion of NAN in n 2.737 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 (* n PI))) 2) NAN))) in n 2.737 * [taylor]: Taking taylor expansion of 0.125 in n 2.737 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 (* n PI))) 2) NAN)) in n 2.737 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.737 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.737 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.737 * [taylor]: Taking taylor expansion of 0.5 in n 2.737 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.737 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.737 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.737 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.737 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.737 * [taylor]: Taking taylor expansion of 1.0 in n 2.737 * [taylor]: Taking taylor expansion of (log PI) in n 2.737 * [taylor]: Taking taylor expansion of PI in n 2.737 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.737 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.737 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.737 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.737 * [taylor]: Taking taylor expansion of 1.0 in n 2.737 * [taylor]: Taking taylor expansion of (log n) in n 2.737 * [taylor]: Taking taylor expansion of n in n 2.738 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.738 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.738 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.738 * [taylor]: Taking taylor expansion of 1.0 in n 2.738 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.738 * [taylor]: Taking taylor expansion of 2.0 in n 2.739 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 2.739 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.739 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.739 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.739 * [taylor]: Taking taylor expansion of 2.0 in n 2.739 * [taylor]: Taking taylor expansion of (* n PI) in n 2.739 * [taylor]: Taking taylor expansion of n in n 2.739 * [taylor]: Taking taylor expansion of PI in n 2.739 * [taylor]: Taking taylor expansion of NAN in n 2.739 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 (* n PI))) (pow NAN 3)))) in n 2.739 * [taylor]: Taking taylor expansion of 0.5 in n 2.739 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 (* n PI))) (pow NAN 3))) in n 2.739 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.739 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.739 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.739 * [taylor]: Taking taylor expansion of 0.5 in n 2.739 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.739 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.739 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.739 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.739 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.739 * [taylor]: Taking taylor expansion of 1.0 in n 2.739 * [taylor]: Taking taylor expansion of (log PI) in n 2.739 * [taylor]: Taking taylor expansion of PI in n 2.739 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.739 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.739 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.739 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.739 * [taylor]: Taking taylor expansion of 1.0 in n 2.739 * [taylor]: Taking taylor expansion of (log n) in n 2.739 * [taylor]: Taking taylor expansion of n in n 2.740 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.740 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.740 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.740 * [taylor]: Taking taylor expansion of 1.0 in n 2.740 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.740 * [taylor]: Taking taylor expansion of 2.0 in n 2.740 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 2.740 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.741 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.741 * [taylor]: Taking taylor expansion of 2.0 in n 2.741 * [taylor]: Taking taylor expansion of (* n PI) in n 2.741 * [taylor]: Taking taylor expansion of n in n 2.741 * [taylor]: Taking taylor expansion of PI in n 2.741 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.741 * [taylor]: Taking taylor expansion of NAN in n 2.757 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 2.758 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.758 * [taylor]: Taking taylor expansion of 1.0 in n 2.758 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.758 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.758 * [taylor]: Taking taylor expansion of k in n 2.758 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.758 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.758 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.758 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.758 * [taylor]: Taking taylor expansion of 0.5 in n 2.758 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.758 * [taylor]: Taking taylor expansion of 1.0 in n 2.758 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.758 * [taylor]: Taking taylor expansion of k in n 2.758 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.758 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.758 * [taylor]: Taking taylor expansion of 2.0 in n 2.758 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.758 * [taylor]: Taking taylor expansion of PI in n 2.758 * [taylor]: Taking taylor expansion of n in n 2.758 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.758 * [taylor]: Taking taylor expansion of 1.0 in k 2.758 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.759 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.759 * [taylor]: Taking taylor expansion of k in k 2.759 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.759 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.759 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.759 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.759 * [taylor]: Taking taylor expansion of 0.5 in k 2.759 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.759 * [taylor]: Taking taylor expansion of 1.0 in k 2.759 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.759 * [taylor]: Taking taylor expansion of k in k 2.759 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.759 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.759 * [taylor]: Taking taylor expansion of 2.0 in k 2.759 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.759 * [taylor]: Taking taylor expansion of PI in k 2.759 * [taylor]: Taking taylor expansion of n in k 2.759 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.759 * [taylor]: Taking taylor expansion of 1.0 in k 2.759 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.759 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.759 * [taylor]: Taking taylor expansion of k in k 2.759 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.759 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.759 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.759 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.759 * [taylor]: Taking taylor expansion of 0.5 in k 2.759 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.759 * [taylor]: Taking taylor expansion of 1.0 in k 2.759 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.759 * [taylor]: Taking taylor expansion of k in k 2.759 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.759 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.759 * [taylor]: Taking taylor expansion of 2.0 in k 2.759 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.760 * [taylor]: Taking taylor expansion of PI in k 2.760 * [taylor]: Taking taylor expansion of n in k 2.760 * [taylor]: Taking taylor expansion of 0 in n 2.760 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.760 * [taylor]: Taking taylor expansion of 1.0 in n 2.760 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.760 * [taylor]: Taking taylor expansion of NAN in n 2.760 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.760 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.760 * [taylor]: Taking taylor expansion of 0.5 in n 2.760 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.760 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.760 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.760 * [taylor]: Taking taylor expansion of 2.0 in n 2.760 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.760 * [taylor]: Taking taylor expansion of PI in n 2.760 * [taylor]: Taking taylor expansion of n in n 2.761 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.761 * [taylor]: Taking taylor expansion of 1.0 in n 2.761 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.761 * [taylor]: Taking taylor expansion of k in n 2.762 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.762 * [taylor]: Taking taylor expansion of 1.0 in n 2.762 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.762 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.762 * [taylor]: Taking taylor expansion of NAN in n 2.762 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.762 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.762 * [taylor]: Taking taylor expansion of 0.5 in n 2.762 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.762 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.762 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.762 * [taylor]: Taking taylor expansion of 2.0 in n 2.762 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.762 * [taylor]: Taking taylor expansion of PI in n 2.762 * [taylor]: Taking taylor expansion of n in n 2.762 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.762 * [taylor]: Taking taylor expansion of 1.0 in n 2.762 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.762 * [taylor]: Taking taylor expansion of k in n 2.765 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.765 * [taylor]: Taking taylor expansion of 1.0 in n 2.765 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.765 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 2.765 * [taylor]: Taking taylor expansion of NAN in n 2.765 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.765 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.765 * [taylor]: Taking taylor expansion of 0.5 in n 2.765 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.765 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.765 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.765 * [taylor]: Taking taylor expansion of 2.0 in n 2.765 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.765 * [taylor]: Taking taylor expansion of PI in n 2.765 * [taylor]: Taking taylor expansion of n in n 2.765 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.765 * [taylor]: Taking taylor expansion of 1.0 in n 2.765 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.765 * [taylor]: Taking taylor expansion of k in n 2.767 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 2.767 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 2.767 * [taylor]: Taking taylor expansion of 1.0 in n 2.767 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.767 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.767 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.767 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.767 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.767 * [taylor]: Taking taylor expansion of 0.5 in n 2.767 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.767 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.767 * [taylor]: Taking taylor expansion of k in n 2.767 * [taylor]: Taking taylor expansion of 1.0 in n 2.767 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.767 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.768 * [taylor]: Taking taylor expansion of -2.0 in n 2.768 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.768 * [taylor]: Taking taylor expansion of PI in n 2.768 * [taylor]: Taking taylor expansion of n in n 2.768 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.768 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.768 * [taylor]: Taking taylor expansion of -1 in n 2.768 * [taylor]: Taking taylor expansion of k in n 2.768 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.768 * [taylor]: Taking taylor expansion of 1.0 in k 2.768 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.768 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.768 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.768 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.768 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.768 * [taylor]: Taking taylor expansion of 0.5 in k 2.768 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.768 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.768 * [taylor]: Taking taylor expansion of k in k 2.768 * [taylor]: Taking taylor expansion of 1.0 in k 2.768 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.768 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.769 * [taylor]: Taking taylor expansion of -2.0 in k 2.769 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.769 * [taylor]: Taking taylor expansion of PI in k 2.769 * [taylor]: Taking taylor expansion of n in k 2.769 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.769 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.769 * [taylor]: Taking taylor expansion of -1 in k 2.769 * [taylor]: Taking taylor expansion of k in k 2.769 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.769 * [taylor]: Taking taylor expansion of 1.0 in k 2.769 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.769 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.769 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.769 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.769 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.769 * [taylor]: Taking taylor expansion of 0.5 in k 2.769 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.769 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.769 * [taylor]: Taking taylor expansion of k in k 2.769 * [taylor]: Taking taylor expansion of 1.0 in k 2.769 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.769 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.769 * [taylor]: Taking taylor expansion of -2.0 in k 2.769 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.769 * [taylor]: Taking taylor expansion of PI in k 2.769 * [taylor]: Taking taylor expansion of n in k 2.770 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.770 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.770 * [taylor]: Taking taylor expansion of -1 in k 2.770 * [taylor]: Taking taylor expansion of k in k 2.770 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 2.770 * [taylor]: Taking taylor expansion of 1.0 in n 2.770 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 2.770 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.770 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.770 * [taylor]: Taking taylor expansion of 0.5 in n 2.770 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.770 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.770 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.770 * [taylor]: Taking taylor expansion of k in n 2.770 * [taylor]: Taking taylor expansion of 1.0 in n 2.770 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.770 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.770 * [taylor]: Taking taylor expansion of -2.0 in n 2.770 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.770 * [taylor]: Taking taylor expansion of PI in n 2.770 * [taylor]: Taking taylor expansion of n in n 2.771 * [taylor]: Taking taylor expansion of NAN in n 2.772 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN))) in n 2.772 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 2.772 * [taylor]: Taking taylor expansion of 1.0 in n 2.772 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 2.772 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.772 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.772 * [taylor]: Taking taylor expansion of 0.5 in n 2.772 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.772 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.772 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.772 * [taylor]: Taking taylor expansion of k in n 2.772 * [taylor]: Taking taylor expansion of 1.0 in n 2.772 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.772 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.772 * [taylor]: Taking taylor expansion of -2.0 in n 2.772 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.772 * [taylor]: Taking taylor expansion of PI in n 2.772 * [taylor]: Taking taylor expansion of n in n 2.772 * [taylor]: Taking taylor expansion of NAN in n 2.775 * [taylor]: Taking taylor expansion of 0 in n 2.778 * [taylor]: Taking taylor expansion of 0 in n 2.778 * * * [progress]: simplifying candidates 2.781 * [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 (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 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) (/ (- 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(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (+ (+ (* (* (log n) (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI)))) (* 0.25 (pow k 2))) (- (+ (* (* (pow (* (* 2.0 PI) n) 0.5) (* (pow k 2) (pow (log n) 2))) 0.125) (pow (* (* 2.0 PI) n) 0.5)) (* (* k (+ (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)))) 0.5))) (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (* (pow (* (* 2.0 PI) n) 0.5) 0.125))) (pow (exp 0.5) (* (log (* (* 2.0 PI) n)) (- 1.0 k))) (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ -1 n))) (- 1.0 k)))) (* 1.0 (+ (* (pow NAN 5) (pow k 2)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 3) (pow k 2)) (+ (/ NAN k) (/ (pow NAN 5) (pow k 3))))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (- (+ (+ (* (pow (* (pow (exp (* 1.0 (log n))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (* 0.125 (* (pow k 2) (* (pow (log n) 2) NAN))))) (+ (* (* (pow (log (* 2.0 PI)) 2) (pow (* (pow (exp (* 1.0 (log n))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5)) (* (* NAN (pow k 2)) 0.125)) (* (pow (* (pow (exp (* 1.0 (log n))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (* (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) 0.25)))) (* 1.0 (+ (* (pow NAN 3) (* k (pow (* (pow (exp (* 1.0 (log n))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (* NAN (pow (* (pow (exp (* 1.0 (log n))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))))) (* 0.5 (+ (* (* (pow (* (pow (exp (* 1.0 (log n))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (pow NAN 3))) (pow k 2)) (* (pow (* (pow (exp (* 1.0 (log n))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* k (* (log n) NAN)) (* (pow k 2) (* (log n) (pow NAN 3)))))))) (* (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (pow (* (pow (exp (* 1.0 (log n))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (* 1.0 (+ (* (/ (pow NAN 3) (pow k 2)) (pow (exp 0.5) (* (log (* (* 2.0 PI) n)) (- 1.0 k)))) (+ (/ (pow NAN 5) (/ (pow k 3) (pow (exp 0.5) (* (log (* (* 2.0 PI) n)) (- 1.0 k))))) (* (/ NAN k) (pow (exp 0.5) (* (log (* (* 2.0 PI) n)) (- 1.0 k))))))) (* 1.0 (+ (/ (* NAN (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ -1 n))) (- 1.0 k))))) k) (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ -1 n))) (- 1.0 k)))) NAN))) 4.025 * * * [progress]: adding candidates to table 4.325 * * [progress]: iteration 2 / 4 4.325 * * * [progress]: picking best candidate 4.367 * * * * [pick]: Picked # 4.367 * * * [progress]: localizing error 4.383 * * * [progress]: generating rewritten candidates 4.383 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 4.391 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 4.396 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 4.404 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 4.414 * * * [progress]: generating series expansions 4.414 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 4.414 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 4.415 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 4.415 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 4.415 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 4.415 * [taylor]: Taking taylor expansion of 0.5 in n 4.415 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.415 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.415 * [taylor]: Taking taylor expansion of 2.0 in n 4.415 * [taylor]: Taking taylor expansion of (* n PI) in n 4.415 * [taylor]: Taking taylor expansion of n in n 4.415 * [taylor]: Taking taylor expansion of PI in n 4.415 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 4.415 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 4.415 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 4.415 * [taylor]: Taking taylor expansion of 0.5 in n 4.415 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.415 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.415 * [taylor]: Taking taylor expansion of 2.0 in n 4.415 * [taylor]: Taking taylor expansion of (* n PI) in n 4.415 * [taylor]: Taking taylor expansion of n in n 4.415 * [taylor]: Taking taylor expansion of PI in n 4.423 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 4.423 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 4.423 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 4.423 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 4.423 * [taylor]: Taking taylor expansion of 0.5 in n 4.423 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.423 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.423 * [taylor]: Taking taylor expansion of 2.0 in n 4.423 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.423 * [taylor]: Taking taylor expansion of PI in n 4.423 * [taylor]: Taking taylor expansion of n in n 4.424 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 4.424 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 4.424 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 4.424 * [taylor]: Taking taylor expansion of 0.5 in n 4.424 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.424 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.424 * [taylor]: Taking taylor expansion of 2.0 in n 4.424 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.424 * [taylor]: Taking taylor expansion of PI in n 4.424 * [taylor]: Taking taylor expansion of n in n 4.432 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 4.432 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 4.432 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 4.432 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 4.432 * [taylor]: Taking taylor expansion of 0.5 in n 4.432 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.432 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.432 * [taylor]: Taking taylor expansion of -2.0 in n 4.432 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.432 * [taylor]: Taking taylor expansion of PI in n 4.432 * [taylor]: Taking taylor expansion of n in n 4.432 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 4.432 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 4.432 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 4.432 * [taylor]: Taking taylor expansion of 0.5 in n 4.432 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.432 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.432 * [taylor]: Taking taylor expansion of -2.0 in n 4.432 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.432 * [taylor]: Taking taylor expansion of PI in n 4.432 * [taylor]: Taking taylor expansion of n in n 4.440 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 4.440 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.440 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.440 * [taylor]: Taking taylor expansion of 2.0 in n 4.440 * [taylor]: Taking taylor expansion of (* n PI) in n 4.440 * [taylor]: Taking taylor expansion of n in n 4.440 * [taylor]: Taking taylor expansion of PI in n 4.440 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.440 * [taylor]: Taking taylor expansion of 2.0 in n 4.440 * [taylor]: Taking taylor expansion of (* n PI) in n 4.440 * [taylor]: Taking taylor expansion of n in n 4.440 * [taylor]: Taking taylor expansion of PI in n 4.441 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.441 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.441 * [taylor]: Taking taylor expansion of 2.0 in n 4.441 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.441 * [taylor]: Taking taylor expansion of PI in n 4.441 * [taylor]: Taking taylor expansion of n in n 4.442 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.442 * [taylor]: Taking taylor expansion of 2.0 in n 4.442 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.442 * [taylor]: Taking taylor expansion of PI in n 4.442 * [taylor]: Taking taylor expansion of n in n 4.443 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.443 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.443 * [taylor]: Taking taylor expansion of -2.0 in n 4.443 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.443 * [taylor]: Taking taylor expansion of PI in n 4.443 * [taylor]: Taking taylor expansion of n in n 4.443 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.443 * [taylor]: Taking taylor expansion of -2.0 in n 4.443 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.443 * [taylor]: Taking taylor expansion of PI in n 4.443 * [taylor]: Taking taylor expansion of n in n 4.444 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 4.444 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.444 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.444 * [taylor]: Taking taylor expansion of 2.0 in n 4.444 * [taylor]: Taking taylor expansion of (* n PI) in n 4.444 * [taylor]: Taking taylor expansion of n in n 4.444 * [taylor]: Taking taylor expansion of PI in n 4.444 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.444 * [taylor]: Taking taylor expansion of 2.0 in n 4.444 * [taylor]: Taking taylor expansion of (* n PI) in n 4.444 * [taylor]: Taking taylor expansion of n in n 4.444 * [taylor]: Taking taylor expansion of PI in n 4.445 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.445 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.445 * [taylor]: Taking taylor expansion of 2.0 in n 4.445 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.445 * [taylor]: Taking taylor expansion of PI in n 4.445 * [taylor]: Taking taylor expansion of n in n 4.445 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.445 * [taylor]: Taking taylor expansion of 2.0 in n 4.445 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.445 * [taylor]: Taking taylor expansion of PI in n 4.445 * [taylor]: Taking taylor expansion of n in n 4.446 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.446 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.446 * [taylor]: Taking taylor expansion of -2.0 in n 4.446 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.446 * [taylor]: Taking taylor expansion of PI in n 4.446 * [taylor]: Taking taylor expansion of n in n 4.446 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.446 * [taylor]: Taking taylor expansion of -2.0 in n 4.446 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.446 * [taylor]: Taking taylor expansion of PI in n 4.446 * [taylor]: Taking taylor expansion of n in n 4.447 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 4.447 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in (n k) around 0 4.448 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 4.448 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 4.448 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 4.448 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 4.448 * [taylor]: Taking taylor expansion of 0.5 in k 4.448 * [taylor]: Taking taylor expansion of k in k 4.448 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.448 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.448 * [taylor]: Taking taylor expansion of 2.0 in k 4.448 * [taylor]: Taking taylor expansion of (* n PI) in k 4.448 * [taylor]: Taking taylor expansion of n in k 4.448 * [taylor]: Taking taylor expansion of PI in k 4.448 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 4.448 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 4.448 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 4.448 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 4.448 * [taylor]: Taking taylor expansion of 0.5 in n 4.448 * [taylor]: Taking taylor expansion of k in n 4.448 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.448 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.448 * [taylor]: Taking taylor expansion of 2.0 in n 4.448 * [taylor]: Taking taylor expansion of (* n PI) in n 4.448 * [taylor]: Taking taylor expansion of n in n 4.448 * [taylor]: Taking taylor expansion of PI in n 4.449 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 4.449 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 4.449 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 4.449 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 4.449 * [taylor]: Taking taylor expansion of 0.5 in n 4.449 * [taylor]: Taking taylor expansion of k in n 4.449 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.449 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.449 * [taylor]: Taking taylor expansion of 2.0 in n 4.449 * [taylor]: Taking taylor expansion of (* n PI) in n 4.449 * [taylor]: Taking taylor expansion of n in n 4.449 * [taylor]: Taking taylor expansion of PI in n 4.449 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 4.449 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 4.449 * [taylor]: Taking taylor expansion of 0.5 in k 4.449 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 4.449 * [taylor]: Taking taylor expansion of k in k 4.449 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.449 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.449 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.449 * [taylor]: Taking taylor expansion of 2.0 in k 4.449 * [taylor]: Taking taylor expansion of PI in k 4.449 * [taylor]: Taking taylor expansion of (log n) in k 4.449 * [taylor]: Taking taylor expansion of n in k 4.450 * [taylor]: Taking taylor expansion of 0 in k 4.451 * [taylor]: Taking taylor expansion of 0 in k 4.453 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in (n k) around 0 4.453 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 4.453 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 4.453 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 4.453 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 4.453 * [taylor]: Taking taylor expansion of 0.5 in k 4.453 * [taylor]: Taking taylor expansion of k in k 4.453 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.453 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.453 * [taylor]: Taking taylor expansion of 2.0 in k 4.453 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.453 * [taylor]: Taking taylor expansion of PI in k 4.453 * [taylor]: Taking taylor expansion of n in k 4.453 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 4.453 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 4.454 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 4.454 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.454 * [taylor]: Taking taylor expansion of 0.5 in n 4.454 * [taylor]: Taking taylor expansion of k in n 4.454 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.454 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.454 * [taylor]: Taking taylor expansion of 2.0 in n 4.454 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.454 * [taylor]: Taking taylor expansion of PI in n 4.454 * [taylor]: Taking taylor expansion of n in n 4.454 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 4.454 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 4.454 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 4.454 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.454 * [taylor]: Taking taylor expansion of 0.5 in n 4.454 * [taylor]: Taking taylor expansion of k in n 4.454 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.454 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.454 * [taylor]: Taking taylor expansion of 2.0 in n 4.454 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.454 * [taylor]: Taking taylor expansion of PI in n 4.454 * [taylor]: Taking taylor expansion of n in n 4.454 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 4.454 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 4.454 * [taylor]: Taking taylor expansion of 0.5 in k 4.455 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 4.455 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.455 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.455 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.455 * [taylor]: Taking taylor expansion of 2.0 in k 4.455 * [taylor]: Taking taylor expansion of PI in k 4.455 * [taylor]: Taking taylor expansion of (log n) in k 4.455 * [taylor]: Taking taylor expansion of n in k 4.455 * [taylor]: Taking taylor expansion of k in k 4.456 * [taylor]: Taking taylor expansion of 0 in k 4.456 * [taylor]: Taking taylor expansion of 0 in k 4.457 * [taylor]: Taking taylor expansion of 0 in k 4.458 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in (n k) around 0 4.458 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 4.458 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 4.458 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 4.458 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 4.458 * [taylor]: Taking taylor expansion of -0.5 in k 4.458 * [taylor]: Taking taylor expansion of k in k 4.458 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.458 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.458 * [taylor]: Taking taylor expansion of -2.0 in k 4.458 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.458 * [taylor]: Taking taylor expansion of PI in k 4.458 * [taylor]: Taking taylor expansion of n in k 4.458 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 4.458 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 4.458 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 4.458 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 4.458 * [taylor]: Taking taylor expansion of -0.5 in n 4.458 * [taylor]: Taking taylor expansion of k in n 4.458 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.458 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.458 * [taylor]: Taking taylor expansion of -2.0 in n 4.458 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.458 * [taylor]: Taking taylor expansion of PI in n 4.458 * [taylor]: Taking taylor expansion of n in n 4.458 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 4.458 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 4.459 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 4.459 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 4.459 * [taylor]: Taking taylor expansion of -0.5 in n 4.459 * [taylor]: Taking taylor expansion of k in n 4.459 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.459 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.459 * [taylor]: Taking taylor expansion of -2.0 in n 4.459 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.459 * [taylor]: Taking taylor expansion of PI in n 4.459 * [taylor]: Taking taylor expansion of n in n 4.459 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 4.459 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 4.459 * [taylor]: Taking taylor expansion of -0.5 in k 4.459 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 4.459 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.459 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.459 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.459 * [taylor]: Taking taylor expansion of -2.0 in k 4.459 * [taylor]: Taking taylor expansion of PI in k 4.459 * [taylor]: Taking taylor expansion of (log n) in k 4.459 * [taylor]: Taking taylor expansion of n in k 4.459 * [taylor]: Taking taylor expansion of k in k 4.460 * [taylor]: Taking taylor expansion of 0 in k 4.461 * [taylor]: Taking taylor expansion of 0 in k 4.462 * [taylor]: Taking taylor expansion of 0 in k 4.462 * * * [progress]: simplifying candidates 4.463 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (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) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (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))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ (* 0.5 (* k (log (* 2.0 PI)))) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (+ (* 0.5 (* k (log n))) (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (+ 1 (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))))))) (exp (* 0.5 (* k (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) 4.468 * * [simplify]: iteration 0 : 173 enodes (cost 1115 ) 4.506 * * [simplify]: iteration 1 : 451 enodes (cost 1048 ) 4.695 * * [simplify]: iteration 2 : 1507 enodes (cost 960 ) 5.357 * * [simplify]: iteration done : 5000 enodes (cost 951 ) 5.358 * [simplify]: Simplified to: (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (pow (* (* 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))) (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 (* n PI)) (sqrt 1.0)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (/ k 2.0) (/ k 2.0) (/ k 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (* (cbrt k) (cbrt k))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* n (* 2.0 PI)) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (pow (* (* 2.0 PI) n) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (pow (* (* 2.0 PI) n) (/ k 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* 2.0 (* n PI)) 0.5) (pow (* 2.0 (* n PI)) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ (+ (+ (* (log (* (* 2.0 PI) n)) (* 0.5 k)) (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) 1) (* (pow k 2) (+ (* (* (log (* 2.0 PI)) (log n)) 0.25) (* (pow (log n) 2) 0.125)))) (pow (exp 0.5) (* (log (* (* 2.0 PI) n)) k)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) 5.359 * * * [progress]: adding candidates to table 5.544 * * [progress]: iteration 3 / 4 5.544 * * * [progress]: picking best candidate 5.588 * * * * [pick]: Picked # 5.588 * * * [progress]: localizing error 5.604 * * * [progress]: generating rewritten candidates 5.604 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 5.611 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.616 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 5.622 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 5.630 * * * [progress]: generating series expansions 5.630 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 5.631 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 5.631 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 5.631 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 5.631 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 5.631 * [taylor]: Taking taylor expansion of 0.5 in n 5.631 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.631 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.631 * [taylor]: Taking taylor expansion of 2.0 in n 5.631 * [taylor]: Taking taylor expansion of (* n PI) in n 5.631 * [taylor]: Taking taylor expansion of n in n 5.631 * [taylor]: Taking taylor expansion of PI in n 5.631 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 5.631 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 5.631 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 5.631 * [taylor]: Taking taylor expansion of 0.5 in n 5.631 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.631 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.631 * [taylor]: Taking taylor expansion of 2.0 in n 5.631 * [taylor]: Taking taylor expansion of (* n PI) in n 5.631 * [taylor]: Taking taylor expansion of n in n 5.631 * [taylor]: Taking taylor expansion of PI in n 5.639 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 5.639 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 5.639 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 5.639 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 5.639 * [taylor]: Taking taylor expansion of 0.5 in n 5.639 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.639 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.639 * [taylor]: Taking taylor expansion of 2.0 in n 5.639 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.639 * [taylor]: Taking taylor expansion of PI in n 5.639 * [taylor]: Taking taylor expansion of n in n 5.639 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 5.639 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 5.640 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 5.640 * [taylor]: Taking taylor expansion of 0.5 in n 5.640 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.640 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.640 * [taylor]: Taking taylor expansion of 2.0 in n 5.640 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.640 * [taylor]: Taking taylor expansion of PI in n 5.640 * [taylor]: Taking taylor expansion of n in n 5.648 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 5.648 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 5.648 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 5.648 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 5.648 * [taylor]: Taking taylor expansion of 0.5 in n 5.648 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.648 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.648 * [taylor]: Taking taylor expansion of -2.0 in n 5.648 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.648 * [taylor]: Taking taylor expansion of PI in n 5.648 * [taylor]: Taking taylor expansion of n in n 5.648 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 5.648 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 5.648 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 5.648 * [taylor]: Taking taylor expansion of 0.5 in n 5.648 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.648 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.648 * [taylor]: Taking taylor expansion of -2.0 in n 5.648 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.648 * [taylor]: Taking taylor expansion of PI in n 5.648 * [taylor]: Taking taylor expansion of n in n 5.659 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.659 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.659 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.659 * [taylor]: Taking taylor expansion of 1.0 in k 5.659 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.659 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.659 * [taylor]: Taking taylor expansion of k in k 5.659 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.659 * [taylor]: Taking taylor expansion of 1.0 in k 5.659 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.659 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.659 * [taylor]: Taking taylor expansion of k in k 5.660 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.660 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.660 * [taylor]: Taking taylor expansion of 1.0 in k 5.660 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.660 * [taylor]: Taking taylor expansion of k in k 5.660 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.660 * [taylor]: Taking taylor expansion of 1.0 in k 5.660 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.660 * [taylor]: Taking taylor expansion of k in k 5.661 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.661 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.661 * [taylor]: Taking taylor expansion of 1.0 in k 5.661 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.661 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.661 * [taylor]: Taking taylor expansion of -1 in k 5.662 * [taylor]: Taking taylor expansion of k in k 5.662 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.662 * [taylor]: Taking taylor expansion of 1.0 in k 5.662 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.662 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.662 * [taylor]: Taking taylor expansion of -1 in k 5.662 * [taylor]: Taking taylor expansion of k in k 5.667 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 5.667 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.668 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.668 * [taylor]: Taking taylor expansion of 2.0 in n 5.668 * [taylor]: Taking taylor expansion of (* n PI) in n 5.668 * [taylor]: Taking taylor expansion of n in n 5.668 * [taylor]: Taking taylor expansion of PI in n 5.668 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.668 * [taylor]: Taking taylor expansion of 2.0 in n 5.668 * [taylor]: Taking taylor expansion of (* n PI) in n 5.668 * [taylor]: Taking taylor expansion of n in n 5.668 * [taylor]: Taking taylor expansion of PI in n 5.669 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.669 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.669 * [taylor]: Taking taylor expansion of 2.0 in n 5.669 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.669 * [taylor]: Taking taylor expansion of PI in n 5.669 * [taylor]: Taking taylor expansion of n in n 5.669 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.669 * [taylor]: Taking taylor expansion of 2.0 in n 5.669 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.669 * [taylor]: Taking taylor expansion of PI in n 5.669 * [taylor]: Taking taylor expansion of n in n 5.670 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.670 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.670 * [taylor]: Taking taylor expansion of -2.0 in n 5.670 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.670 * [taylor]: Taking taylor expansion of PI in n 5.670 * [taylor]: Taking taylor expansion of n in n 5.670 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.670 * [taylor]: Taking taylor expansion of -2.0 in n 5.670 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.670 * [taylor]: Taking taylor expansion of PI in n 5.670 * [taylor]: Taking taylor expansion of n in n 5.671 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 5.671 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.671 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.671 * [taylor]: Taking taylor expansion of 2.0 in n 5.671 * [taylor]: Taking taylor expansion of (* n PI) in n 5.671 * [taylor]: Taking taylor expansion of n in n 5.671 * [taylor]: Taking taylor expansion of PI in n 5.671 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.671 * [taylor]: Taking taylor expansion of 2.0 in n 5.671 * [taylor]: Taking taylor expansion of (* n PI) in n 5.671 * [taylor]: Taking taylor expansion of n in n 5.671 * [taylor]: Taking taylor expansion of PI in n 5.672 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.672 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.672 * [taylor]: Taking taylor expansion of 2.0 in n 5.672 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.672 * [taylor]: Taking taylor expansion of PI in n 5.672 * [taylor]: Taking taylor expansion of n in n 5.672 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.672 * [taylor]: Taking taylor expansion of 2.0 in n 5.672 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.672 * [taylor]: Taking taylor expansion of PI in n 5.672 * [taylor]: Taking taylor expansion of n in n 5.673 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.674 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.674 * [taylor]: Taking taylor expansion of -2.0 in n 5.674 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.674 * [taylor]: Taking taylor expansion of PI in n 5.674 * [taylor]: Taking taylor expansion of n in n 5.674 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.674 * [taylor]: Taking taylor expansion of -2.0 in n 5.674 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.674 * [taylor]: Taking taylor expansion of PI in n 5.674 * [taylor]: Taking taylor expansion of n in n 5.675 * * * [progress]: simplifying candidates 5.676 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (- (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) (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))))) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (+ (* 1.0 NAN) (* 1.0 (* k (pow NAN 3))))) (+ (* 1.0 (/ (pow NAN 3) (pow k 2))) (+ (* 1.0 (/ NAN k)) (* 1.0 (/ (pow NAN 5) (pow k 3))))) (+ (* 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)) 5.681 * * [simplify]: iteration 0 : 190 enodes (cost 1106 ) 5.723 * * [simplify]: iteration 1 : 440 enodes (cost 1024 ) 5.869 * * [simplify]: iteration 2 : 1307 enodes (cost 934 ) 7.140 * * [simplify]: iteration 3 : 4371 enodes (cost 932 ) 8.027 * * [simplify]: iteration done : 5001 enodes (cost 932 ) 8.028 * [simplify]: Simplified to: (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (pow (* (* 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 (* n PI)) (* (cbrt 1.0) (cbrt 1.0))) (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 (* n PI)) (sqrt 1.0)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (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)) (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) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* n PI) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* n PI) (pow (* 2.0 (* n PI)) 0.5) (pow (* 2.0 (* n PI)) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 3) (pow k 2)) (+ (/ NAN k) (/ (pow NAN 5) (pow k 3))))) (* 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)) 8.029 * * * [progress]: adding candidates to table 8.218 * * [progress]: iteration 4 / 4 8.218 * * * [progress]: picking best candidate 8.258 * * * * [pick]: Picked # 8.258 * * * [progress]: localizing error 8.275 * * * [progress]: generating rewritten candidates 8.275 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 8.287 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 8.294 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 8.298 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 8.309 * * * [progress]: generating series expansions 8.309 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 8.310 * [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 8.310 * [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 8.310 * [taylor]: Taking taylor expansion of 1.0 in n 8.310 * [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 8.310 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 8.310 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.310 * [taylor]: Taking taylor expansion of k in n 8.310 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 8.310 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 8.310 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 8.310 * [taylor]: Taking taylor expansion of 0.5 in n 8.310 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 8.310 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 8.310 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.310 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.310 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.310 * [taylor]: Taking taylor expansion of 1.0 in n 8.310 * [taylor]: Taking taylor expansion of (log PI) in n 8.310 * [taylor]: Taking taylor expansion of PI in n 8.310 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 8.310 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.310 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.310 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.310 * [taylor]: Taking taylor expansion of 1.0 in n 8.310 * [taylor]: Taking taylor expansion of (log n) in n 8.310 * [taylor]: Taking taylor expansion of n in n 8.311 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.311 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.311 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.311 * [taylor]: Taking taylor expansion of 1.0 in n 8.311 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.311 * [taylor]: Taking taylor expansion of 2.0 in n 8.312 * [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 8.312 * [taylor]: Taking taylor expansion of 1.0 in k 8.312 * [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 8.312 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.312 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.312 * [taylor]: Taking taylor expansion of k in k 8.312 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 8.312 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 8.312 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 8.312 * [taylor]: Taking taylor expansion of 0.5 in k 8.312 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 8.312 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 8.312 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 8.312 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 8.312 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 8.312 * [taylor]: Taking taylor expansion of 1.0 in k 8.312 * [taylor]: Taking taylor expansion of (log PI) in k 8.312 * [taylor]: Taking taylor expansion of PI in k 8.312 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 8.312 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 8.312 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 8.312 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 8.312 * [taylor]: Taking taylor expansion of 1.0 in k 8.312 * [taylor]: Taking taylor expansion of (log n) in k 8.312 * [taylor]: Taking taylor expansion of n in k 8.312 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 8.312 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 8.312 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 8.312 * [taylor]: Taking taylor expansion of 1.0 in k 8.312 * [taylor]: Taking taylor expansion of (log 2.0) in k 8.312 * [taylor]: Taking taylor expansion of 2.0 in k 8.313 * [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 8.313 * [taylor]: Taking taylor expansion of 1.0 in k 8.313 * [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 8.313 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.313 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.313 * [taylor]: Taking taylor expansion of k in k 8.313 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 8.313 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 8.313 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 8.313 * [taylor]: Taking taylor expansion of 0.5 in k 8.313 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 8.313 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 8.313 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 8.314 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 8.314 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 8.314 * [taylor]: Taking taylor expansion of 1.0 in k 8.314 * [taylor]: Taking taylor expansion of (log PI) in k 8.314 * [taylor]: Taking taylor expansion of PI in k 8.314 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 8.314 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 8.314 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 8.314 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 8.314 * [taylor]: Taking taylor expansion of 1.0 in k 8.314 * [taylor]: Taking taylor expansion of (log n) in k 8.314 * [taylor]: Taking taylor expansion of n in k 8.314 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 8.314 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 8.314 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 8.314 * [taylor]: Taking taylor expansion of 1.0 in k 8.314 * [taylor]: Taking taylor expansion of (log 2.0) in k 8.314 * [taylor]: Taking taylor expansion of 2.0 in k 8.315 * [taylor]: Taking taylor expansion of 0 in n 8.317 * [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 8.317 * [taylor]: Taking taylor expansion of 1.0 in n 8.317 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 8.317 * [taylor]: Taking taylor expansion of NAN in n 8.317 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 8.317 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 8.317 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 8.318 * [taylor]: Taking taylor expansion of 0.5 in n 8.318 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 8.318 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 8.318 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.318 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.318 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.318 * [taylor]: Taking taylor expansion of 1.0 in n 8.318 * [taylor]: Taking taylor expansion of (log PI) in n 8.318 * [taylor]: Taking taylor expansion of PI in n 8.318 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 8.318 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.318 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.318 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.318 * [taylor]: Taking taylor expansion of 1.0 in n 8.318 * [taylor]: Taking taylor expansion of (log n) in n 8.318 * [taylor]: Taking taylor expansion of n in n 8.318 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.318 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.318 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.318 * [taylor]: Taking taylor expansion of 1.0 in n 8.318 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.318 * [taylor]: Taking taylor expansion of 2.0 in n 8.324 * [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 8.324 * [taylor]: Taking taylor expansion of 1.0 in n 8.324 * [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 8.324 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.324 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.324 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.324 * [taylor]: Taking taylor expansion of 0.5 in n 8.324 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.324 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.324 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.324 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.324 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.324 * [taylor]: Taking taylor expansion of 1.0 in n 8.324 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.324 * [taylor]: Taking taylor expansion of 2.0 in n 8.324 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.324 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.324 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.324 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.324 * [taylor]: Taking taylor expansion of 1.0 in n 8.324 * [taylor]: Taking taylor expansion of (log n) in n 8.324 * [taylor]: Taking taylor expansion of n in n 8.324 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.324 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.324 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.324 * [taylor]: Taking taylor expansion of 1.0 in n 8.324 * [taylor]: Taking taylor expansion of (log PI) in n 8.324 * [taylor]: Taking taylor expansion of PI in n 8.325 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 8.325 * [taylor]: Taking taylor expansion of NAN in n 8.337 * [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 8.337 * [taylor]: Taking taylor expansion of 1.0 in n 8.337 * [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 8.337 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 8.337 * [taylor]: Taking taylor expansion of NAN in n 8.337 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 8.337 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 8.337 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 8.337 * [taylor]: Taking taylor expansion of 0.5 in n 8.337 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 8.337 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 8.337 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.337 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.337 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.337 * [taylor]: Taking taylor expansion of 1.0 in n 8.337 * [taylor]: Taking taylor expansion of (log PI) in n 8.337 * [taylor]: Taking taylor expansion of PI in n 8.337 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 8.337 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.337 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.337 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.337 * [taylor]: Taking taylor expansion of 1.0 in n 8.337 * [taylor]: Taking taylor expansion of (log n) in n 8.337 * [taylor]: Taking taylor expansion of n in n 8.337 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.337 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.337 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.337 * [taylor]: Taking taylor expansion of 1.0 in n 8.337 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.337 * [taylor]: Taking taylor expansion of 2.0 in n 8.340 * [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 8.340 * [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 8.341 * [taylor]: Taking taylor expansion of 1.0 in n 8.341 * [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 8.341 * [taylor]: Taking taylor expansion of (sqrt k) in n 8.341 * [taylor]: Taking taylor expansion of k in n 8.341 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 8.341 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 8.341 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 8.341 * [taylor]: Taking taylor expansion of 0.5 in n 8.341 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 8.341 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 8.341 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 8.341 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.341 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.341 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.341 * [taylor]: Taking taylor expansion of 1.0 in n 8.341 * [taylor]: Taking taylor expansion of (log PI) in n 8.341 * [taylor]: Taking taylor expansion of PI in n 8.341 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.341 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.341 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.341 * [taylor]: Taking taylor expansion of 1.0 in n 8.341 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.341 * [taylor]: Taking taylor expansion of 2.0 in n 8.341 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.341 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.341 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.341 * [taylor]: Taking taylor expansion of 1.0 in n 8.341 * [taylor]: Taking taylor expansion of (log n) in n 8.341 * [taylor]: Taking taylor expansion of n in n 8.342 * [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 8.342 * [taylor]: Taking taylor expansion of 1.0 in k 8.342 * [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 8.342 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.342 * [taylor]: Taking taylor expansion of k in k 8.342 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 8.342 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 8.342 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 8.342 * [taylor]: Taking taylor expansion of 0.5 in k 8.343 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 8.343 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 8.343 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 8.343 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 8.343 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 8.343 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 8.343 * [taylor]: Taking taylor expansion of 1.0 in k 8.343 * [taylor]: Taking taylor expansion of (log PI) in k 8.343 * [taylor]: Taking taylor expansion of PI in k 8.343 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 8.343 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 8.343 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 8.343 * [taylor]: Taking taylor expansion of 1.0 in k 8.343 * [taylor]: Taking taylor expansion of (log 2.0) in k 8.343 * [taylor]: Taking taylor expansion of 2.0 in k 8.343 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 8.343 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 8.343 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 8.343 * [taylor]: Taking taylor expansion of 1.0 in k 8.343 * [taylor]: Taking taylor expansion of (log n) in k 8.343 * [taylor]: Taking taylor expansion of n in k 8.344 * [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 8.344 * [taylor]: Taking taylor expansion of 1.0 in k 8.344 * [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 8.344 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.344 * [taylor]: Taking taylor expansion of k in k 8.344 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 8.344 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 8.344 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 8.344 * [taylor]: Taking taylor expansion of 0.5 in k 8.344 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 8.344 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 8.344 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 8.344 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 8.344 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 8.344 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 8.344 * [taylor]: Taking taylor expansion of 1.0 in k 8.344 * [taylor]: Taking taylor expansion of (log PI) in k 8.344 * [taylor]: Taking taylor expansion of PI in k 8.344 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 8.344 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 8.344 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 8.344 * [taylor]: Taking taylor expansion of 1.0 in k 8.344 * [taylor]: Taking taylor expansion of (log 2.0) in k 8.344 * [taylor]: Taking taylor expansion of 2.0 in k 8.345 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 8.345 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 8.345 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 8.345 * [taylor]: Taking taylor expansion of 1.0 in k 8.345 * [taylor]: Taking taylor expansion of (log n) in k 8.345 * [taylor]: Taking taylor expansion of n in k 8.346 * [taylor]: Taking taylor expansion of 0 in n 8.348 * [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 8.348 * [taylor]: Taking taylor expansion of 1.0 in n 8.348 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) NAN) in n 8.348 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 8.348 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 8.348 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 8.348 * [taylor]: Taking taylor expansion of 0.5 in n 8.348 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 8.348 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 8.348 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 8.348 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.348 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.348 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.348 * [taylor]: Taking taylor expansion of 1.0 in n 8.348 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.348 * [taylor]: Taking taylor expansion of 2.0 in n 8.349 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.349 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.349 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.349 * [taylor]: Taking taylor expansion of 1.0 in n 8.349 * [taylor]: Taking taylor expansion of (log PI) in n 8.349 * [taylor]: Taking taylor expansion of PI in n 8.349 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.349 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.349 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.349 * [taylor]: Taking taylor expansion of 1.0 in n 8.349 * [taylor]: Taking taylor expansion of (log n) in n 8.349 * [taylor]: Taking taylor expansion of n in n 8.350 * [taylor]: Taking taylor expansion of NAN in n 8.354 * [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 8.354 * [taylor]: Taking taylor expansion of 1.0 in n 8.354 * [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 8.354 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 8.355 * [taylor]: Taking taylor expansion of NAN in n 8.355 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 8.355 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 8.355 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 8.355 * [taylor]: Taking taylor expansion of 0.5 in n 8.355 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 8.355 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 8.355 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 8.355 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.355 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.355 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.355 * [taylor]: Taking taylor expansion of 1.0 in n 8.355 * [taylor]: Taking taylor expansion of (log PI) in n 8.355 * [taylor]: Taking taylor expansion of PI in n 8.355 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.355 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.355 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.355 * [taylor]: Taking taylor expansion of 1.0 in n 8.355 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.355 * [taylor]: Taking taylor expansion of 2.0 in n 8.355 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.355 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.355 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.355 * [taylor]: Taking taylor expansion of 1.0 in n 8.355 * [taylor]: Taking taylor expansion of (log n) in n 8.355 * [taylor]: Taking taylor expansion of n in n 8.364 * [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 8.364 * [taylor]: Taking taylor expansion of 1.0 in n 8.364 * [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 8.364 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 8.364 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 8.364 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 8.365 * [taylor]: Taking taylor expansion of 0.5 in n 8.365 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 8.365 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 8.365 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 8.365 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.365 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.365 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.365 * [taylor]: Taking taylor expansion of 1.0 in n 8.365 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.365 * [taylor]: Taking taylor expansion of 2.0 in n 8.365 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.365 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.365 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.365 * [taylor]: Taking taylor expansion of 1.0 in n 8.365 * [taylor]: Taking taylor expansion of (log PI) in n 8.365 * [taylor]: Taking taylor expansion of PI in n 8.365 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.365 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.365 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.365 * [taylor]: Taking taylor expansion of 1.0 in n 8.365 * [taylor]: Taking taylor expansion of (log n) in n 8.365 * [taylor]: Taking taylor expansion of n in n 8.366 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 8.366 * [taylor]: Taking taylor expansion of NAN in n 8.369 * [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 8.369 * [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 8.369 * [taylor]: Taking taylor expansion of 1.0 in n 8.369 * [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 8.369 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 8.369 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 8.369 * [taylor]: Taking taylor expansion of (/ -1 k) in n 8.369 * [taylor]: Taking taylor expansion of -1 in n 8.369 * [taylor]: Taking taylor expansion of k in n 8.369 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 8.369 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 8.369 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 8.369 * [taylor]: Taking taylor expansion of 0.5 in n 8.369 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 8.369 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 8.369 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 8.369 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 8.369 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 8.369 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 8.369 * [taylor]: Taking taylor expansion of 1.0 in n 8.369 * [taylor]: Taking taylor expansion of (log -2.0) in n 8.369 * [taylor]: Taking taylor expansion of -2.0 in n 8.369 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.369 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.369 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.369 * [taylor]: Taking taylor expansion of 1.0 in n 8.369 * [taylor]: Taking taylor expansion of (log PI) in n 8.369 * [taylor]: Taking taylor expansion of PI in n 8.369 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.369 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.369 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.369 * [taylor]: Taking taylor expansion of 1.0 in n 8.369 * [taylor]: Taking taylor expansion of (log n) in n 8.369 * [taylor]: Taking taylor expansion of n in n 8.370 * [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 8.370 * [taylor]: Taking taylor expansion of 1.0 in k 8.370 * [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 8.371 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 8.371 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.371 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.371 * [taylor]: Taking taylor expansion of -1 in k 8.371 * [taylor]: Taking taylor expansion of k in k 8.371 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 8.371 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 8.371 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 8.371 * [taylor]: Taking taylor expansion of 0.5 in k 8.371 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 8.371 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 8.371 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 8.371 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 8.371 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 8.371 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 8.371 * [taylor]: Taking taylor expansion of 1.0 in k 8.371 * [taylor]: Taking taylor expansion of (log -2.0) in k 8.371 * [taylor]: Taking taylor expansion of -2.0 in k 8.371 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 8.371 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 8.371 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 8.371 * [taylor]: Taking taylor expansion of 1.0 in k 8.371 * [taylor]: Taking taylor expansion of (log PI) in k 8.371 * [taylor]: Taking taylor expansion of PI in k 8.372 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 8.372 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 8.372 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 8.372 * [taylor]: Taking taylor expansion of 1.0 in k 8.372 * [taylor]: Taking taylor expansion of (log n) in k 8.372 * [taylor]: Taking taylor expansion of n in k 8.373 * [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 8.373 * [taylor]: Taking taylor expansion of 1.0 in k 8.373 * [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 8.373 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 8.373 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.373 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.373 * [taylor]: Taking taylor expansion of -1 in k 8.373 * [taylor]: Taking taylor expansion of k in k 8.373 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 8.373 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 8.373 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 8.373 * [taylor]: Taking taylor expansion of 0.5 in k 8.373 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 8.373 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 8.373 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 8.373 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 8.373 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 8.373 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 8.373 * [taylor]: Taking taylor expansion of 1.0 in k 8.373 * [taylor]: Taking taylor expansion of (log -2.0) in k 8.373 * [taylor]: Taking taylor expansion of -2.0 in k 8.374 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 8.374 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 8.374 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 8.374 * [taylor]: Taking taylor expansion of 1.0 in k 8.374 * [taylor]: Taking taylor expansion of (log PI) in k 8.374 * [taylor]: Taking taylor expansion of PI in k 8.374 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 8.374 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 8.374 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 8.374 * [taylor]: Taking taylor expansion of 1.0 in k 8.374 * [taylor]: Taking taylor expansion of (log n) in k 8.374 * [taylor]: Taking taylor expansion of n in k 8.375 * [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 8.375 * [taylor]: Taking taylor expansion of 1.0 in n 8.375 * [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 8.375 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 8.375 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 8.375 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 8.375 * [taylor]: Taking taylor expansion of 0.5 in n 8.375 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 8.375 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 8.375 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 8.375 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 8.375 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 8.375 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 8.375 * [taylor]: Taking taylor expansion of 1.0 in n 8.375 * [taylor]: Taking taylor expansion of (log -2.0) in n 8.376 * [taylor]: Taking taylor expansion of -2.0 in n 8.376 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.376 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.376 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.376 * [taylor]: Taking taylor expansion of 1.0 in n 8.376 * [taylor]: Taking taylor expansion of (log PI) in n 8.376 * [taylor]: Taking taylor expansion of PI in n 8.376 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.376 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.376 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.376 * [taylor]: Taking taylor expansion of 1.0 in n 8.376 * [taylor]: Taking taylor expansion of (log n) in n 8.376 * [taylor]: Taking taylor expansion of n in n 8.377 * [taylor]: Taking taylor expansion of (/ 1 NAN) in n 8.377 * [taylor]: Taking taylor expansion of NAN in n 8.380 * [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 8.380 * [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 8.381 * [taylor]: Taking taylor expansion of 1.0 in n 8.381 * [taylor]: Taking taylor expansion of (* NAN (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 8.381 * [taylor]: Taking taylor expansion of NAN in n 8.381 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 8.381 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 8.381 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 8.381 * [taylor]: Taking taylor expansion of 0.5 in n 8.381 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 8.381 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 8.381 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 8.381 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 8.381 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 8.381 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 8.381 * [taylor]: Taking taylor expansion of 1.0 in n 8.381 * [taylor]: Taking taylor expansion of (log -2.0) in n 8.381 * [taylor]: Taking taylor expansion of -2.0 in n 8.381 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.381 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.381 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.381 * [taylor]: Taking taylor expansion of 1.0 in n 8.381 * [taylor]: Taking taylor expansion of (log PI) in n 8.381 * [taylor]: Taking taylor expansion of PI in n 8.381 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.381 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.381 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.381 * [taylor]: Taking taylor expansion of 1.0 in n 8.381 * [taylor]: Taking taylor expansion of (log n) in n 8.381 * [taylor]: Taking taylor expansion of n in n 8.390 * [taylor]: Taking taylor expansion of 0 in n 8.401 * [taylor]: Taking taylor expansion of 0 in n 8.401 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 8.402 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 8.402 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 8.402 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 8.402 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 8.402 * [taylor]: Taking taylor expansion of 0.5 in n 8.402 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.402 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.402 * [taylor]: Taking taylor expansion of 2.0 in n 8.402 * [taylor]: Taking taylor expansion of (* n PI) in n 8.402 * [taylor]: Taking taylor expansion of n in n 8.402 * [taylor]: Taking taylor expansion of PI in n 8.402 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 8.402 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 8.402 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 8.402 * [taylor]: Taking taylor expansion of 0.5 in n 8.402 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.402 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.402 * [taylor]: Taking taylor expansion of 2.0 in n 8.402 * [taylor]: Taking taylor expansion of (* n PI) in n 8.402 * [taylor]: Taking taylor expansion of n in n 8.402 * [taylor]: Taking taylor expansion of PI in n 8.410 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 8.410 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 8.410 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 8.410 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 8.410 * [taylor]: Taking taylor expansion of 0.5 in n 8.410 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.410 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.410 * [taylor]: Taking taylor expansion of 2.0 in n 8.410 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.410 * [taylor]: Taking taylor expansion of PI in n 8.410 * [taylor]: Taking taylor expansion of n in n 8.410 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 8.410 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 8.410 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 8.410 * [taylor]: Taking taylor expansion of 0.5 in n 8.411 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.411 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.411 * [taylor]: Taking taylor expansion of 2.0 in n 8.411 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.411 * [taylor]: Taking taylor expansion of PI in n 8.411 * [taylor]: Taking taylor expansion of n in n 8.418 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 8.418 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 8.418 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 8.419 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 8.419 * [taylor]: Taking taylor expansion of 0.5 in n 8.419 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.419 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.419 * [taylor]: Taking taylor expansion of -2.0 in n 8.419 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.419 * [taylor]: Taking taylor expansion of PI in n 8.419 * [taylor]: Taking taylor expansion of n in n 8.419 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 8.419 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 8.419 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 8.419 * [taylor]: Taking taylor expansion of 0.5 in n 8.419 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.419 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.419 * [taylor]: Taking taylor expansion of -2.0 in n 8.419 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.419 * [taylor]: Taking taylor expansion of PI in n 8.419 * [taylor]: Taking taylor expansion of n in n 8.427 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 8.427 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.427 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.427 * [taylor]: Taking taylor expansion of 1.0 in k 8.427 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.427 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.427 * [taylor]: Taking taylor expansion of k in k 8.427 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.427 * [taylor]: Taking taylor expansion of 1.0 in k 8.427 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.427 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.427 * [taylor]: Taking taylor expansion of k in k 8.428 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.428 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.428 * [taylor]: Taking taylor expansion of 1.0 in k 8.428 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.428 * [taylor]: Taking taylor expansion of k in k 8.428 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.428 * [taylor]: Taking taylor expansion of 1.0 in k 8.428 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.428 * [taylor]: Taking taylor expansion of k in k 8.429 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.429 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.429 * [taylor]: Taking taylor expansion of 1.0 in k 8.429 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.429 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.429 * [taylor]: Taking taylor expansion of -1 in k 8.430 * [taylor]: Taking taylor expansion of k in k 8.430 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.430 * [taylor]: Taking taylor expansion of 1.0 in k 8.430 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.430 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.430 * [taylor]: Taking taylor expansion of -1 in k 8.430 * [taylor]: Taking taylor expansion of k in k 8.438 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 8.438 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 8.438 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.438 * [taylor]: Taking taylor expansion of 2.0 in n 8.438 * [taylor]: Taking taylor expansion of (* n PI) in n 8.438 * [taylor]: Taking taylor expansion of n in n 8.438 * [taylor]: Taking taylor expansion of PI in n 8.438 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.438 * [taylor]: Taking taylor expansion of 2.0 in n 8.438 * [taylor]: Taking taylor expansion of (* n PI) in n 8.438 * [taylor]: Taking taylor expansion of n in n 8.438 * [taylor]: Taking taylor expansion of PI in n 8.439 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 8.439 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.439 * [taylor]: Taking taylor expansion of 2.0 in n 8.439 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.439 * [taylor]: Taking taylor expansion of PI in n 8.439 * [taylor]: Taking taylor expansion of n in n 8.439 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.439 * [taylor]: Taking taylor expansion of 2.0 in n 8.439 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.439 * [taylor]: Taking taylor expansion of PI in n 8.439 * [taylor]: Taking taylor expansion of n in n 8.440 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 8.440 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.440 * [taylor]: Taking taylor expansion of -2.0 in n 8.440 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.440 * [taylor]: Taking taylor expansion of PI in n 8.440 * [taylor]: Taking taylor expansion of n in n 8.440 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.440 * [taylor]: Taking taylor expansion of -2.0 in n 8.440 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.440 * [taylor]: Taking taylor expansion of PI in n 8.440 * [taylor]: Taking taylor expansion of n in n 8.441 * * * [progress]: simplifying candidates 8.444 * [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 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (- (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) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow (exp (* 1.0 (+ (log n) (log 1)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (pow (* (pow (exp (* 1.0 (+ (log n) (log 1)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (* 1.0 (* (pow (* (pow (exp (* 1.0 (+ (log n) (log 1)))) 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) NAN)))) (+ (* 1.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log (/ 1 n)) (log 1)))) 1.0)) 0.5) (/ (pow NAN 5) (pow k 3)))) (+ (* 1.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log (/ 1 n)) (log 1)))) 1.0)) 0.5) (/ NAN k))) (* 1.0 (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log (/ 1 n)) (log 1)))) 1.0)) 0.5) (/ (pow NAN 3) (pow k 2)))))) (+ (* 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 (* (/ 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)))) (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))))) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (+ (* 1.0 NAN) (* 1.0 (* k (pow NAN 3))))) (+ (* 1.0 (/ (pow NAN 3) (pow k 2))) (+ (* 1.0 (/ NAN k)) (* 1.0 (/ (pow NAN 5) (pow k 3))))) (+ (* 1.0 (/ NAN k)) (* 1.0 (/ 1 NAN))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 8.454 * * [simplify]: iteration 0 : 282 enodes (cost 2219 ) 8.538 * * [simplify]: iteration 1 : 732 enodes (cost 2074 ) 8.867 * * [simplify]: iteration 2 : 2354 enodes (cost 1883 ) 9.428 * * [simplify]: iteration done : 5000 enodes (cost 1877 ) 9.429 * [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 (* (* 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))) (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)) (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)) (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) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* 1.0 (+ (* k (* (pow NAN 3) (pow (* (pow (pow (exp 1.0) (log n)) 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5))) (* (pow (* (pow (pow (exp 1.0) (log n)) 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (+ (* (pow k 2) (pow NAN 5)) NAN)))) (* 1.0 (+ (* (/ (pow NAN 5) (pow k 3)) (pow (/ (pow PI 1.0) (/ (pow (pow (exp 1.0) (neg (log n))) 1.0) (pow 2.0 1.0))) 0.5)) (* (pow (/ (pow PI 1.0) (/ (pow (pow (exp 1.0) (neg (log n))) 1.0) (pow 2.0 1.0))) 0.5) (+ (/ NAN k) (/ (pow NAN 3) (pow k 2)))))) (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (pow (exp 1.0) (log (/ -1 n))) 1.0)) 0.5) (* 1.0 (+ (/ NAN k) (/ 1 NAN)))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* 1.0 (+ (+ NAN (* k (pow NAN 3))) (* (pow k 2) (pow NAN 5)))) (* 1.0 (+ (+ (/ NAN k) (/ (pow NAN 5) (pow k 3))) (/ (pow NAN 3) (pow k 2)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 9.430 * * * [progress]: adding candidates to table 9.709 * [progress]: [Phase 3 of 3] Extracting. 9.709 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 9.712 * * * [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) 9.712 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 9.789 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # # #) 9.874 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# #) 9.924 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 9.996 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 10.069 * * * [regime]: Found split indices: #