12.773 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.479 * * * [progress]: [2/2] Setting up program. 0.485 * [progress]: [Phase 2 of 3] Improving. 0.486 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.537 * * [simplify]: iteration 0 : 5052 enodes (cost 16 ) 0.539 * [simplify]: Simplified to: (* 1.0 (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) 0.543 * * [progress]: iteration 1 / 4 0.543 * * * [progress]: picking best candidate 0.548 * * * * [pick]: Picked # 0.549 * * * [progress]: localizing error 0.562 * * * [progress]: generating rewritten candidates 0.562 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1 2) 0.566 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.572 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.585 * * * [progress]: generating series expansions 0.585 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1 2) 0.585 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 0.585 * [taylor]: Taking taylor expansion of (* n PI) in n 0.585 * [taylor]: Taking taylor expansion of n in n 0.585 * [taylor]: Taking taylor expansion of PI in n 0.585 * [taylor]: Taking taylor expansion of (* n PI) in n 0.585 * [taylor]: Taking taylor expansion of n in n 0.585 * [taylor]: Taking taylor expansion of PI in n 0.586 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 0.586 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.586 * [taylor]: Taking taylor expansion of PI in n 0.586 * [taylor]: Taking taylor expansion of n in n 0.586 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.586 * [taylor]: Taking taylor expansion of PI in n 0.586 * [taylor]: Taking taylor expansion of n in n 0.586 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 0.586 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.586 * [taylor]: Taking taylor expansion of -1 in n 0.586 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.586 * [taylor]: Taking taylor expansion of PI in n 0.586 * [taylor]: Taking taylor expansion of n in n 0.586 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.586 * [taylor]: Taking taylor expansion of -1 in n 0.586 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.586 * [taylor]: Taking taylor expansion of PI in n 0.586 * [taylor]: Taking taylor expansion of n in n 0.587 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.587 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in (n k) around 0 0.587 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 0.587 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.587 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.588 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.588 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.588 * [taylor]: Taking taylor expansion of 0.5 in k 0.588 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.588 * [taylor]: Taking taylor expansion of 1.0 in k 0.588 * [taylor]: Taking taylor expansion of k in k 0.588 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.588 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.588 * [taylor]: Taking taylor expansion of 2.0 in k 0.588 * [taylor]: Taking taylor expansion of (* n PI) in k 0.588 * [taylor]: Taking taylor expansion of n in k 0.588 * [taylor]: Taking taylor expansion of PI in k 0.588 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.588 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.588 * [taylor]: Taking taylor expansion of k in k 0.588 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 0.588 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.588 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.588 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.588 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.588 * [taylor]: Taking taylor expansion of 0.5 in n 0.588 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.588 * [taylor]: Taking taylor expansion of 1.0 in n 0.588 * [taylor]: Taking taylor expansion of k in n 0.588 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.588 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.588 * [taylor]: Taking taylor expansion of 2.0 in n 0.588 * [taylor]: Taking taylor expansion of (* n PI) in n 0.588 * [taylor]: Taking taylor expansion of n in n 0.588 * [taylor]: Taking taylor expansion of PI in n 0.589 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.589 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.589 * [taylor]: Taking taylor expansion of k in n 0.589 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 0.589 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.589 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.589 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.589 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.589 * [taylor]: Taking taylor expansion of 0.5 in n 0.589 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.589 * [taylor]: Taking taylor expansion of 1.0 in n 0.589 * [taylor]: Taking taylor expansion of k in n 0.589 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.589 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.589 * [taylor]: Taking taylor expansion of 2.0 in n 0.589 * [taylor]: Taking taylor expansion of (* n PI) in n 0.589 * [taylor]: Taking taylor expansion of n in n 0.589 * [taylor]: Taking taylor expansion of PI in n 0.589 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.589 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.589 * [taylor]: Taking taylor expansion of k in n 0.590 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 0.590 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.590 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.590 * [taylor]: Taking taylor expansion of k in k 0.590 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.590 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.590 * [taylor]: Taking taylor expansion of 0.5 in k 0.590 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.590 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.590 * [taylor]: Taking taylor expansion of 1.0 in k 0.590 * [taylor]: Taking taylor expansion of k in k 0.590 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.590 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.590 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.590 * [taylor]: Taking taylor expansion of 2.0 in k 0.590 * [taylor]: Taking taylor expansion of PI in k 0.590 * [taylor]: Taking taylor expansion of (log n) in k 0.590 * [taylor]: Taking taylor expansion of n in k 0.591 * [taylor]: Taking taylor expansion of 0 in k 0.593 * [taylor]: Taking taylor expansion of 0 in k 0.596 * [taylor]: Taking taylor expansion of 0 in k 0.603 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in (n k) around 0 0.603 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.603 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.603 * [taylor]: Taking taylor expansion of k in k 0.603 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.603 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.603 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.603 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.603 * [taylor]: Taking taylor expansion of 0.5 in k 0.603 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.603 * [taylor]: Taking taylor expansion of 1.0 in k 0.603 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.603 * [taylor]: Taking taylor expansion of k in k 0.603 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.603 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.604 * [taylor]: Taking taylor expansion of 2.0 in k 0.604 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.604 * [taylor]: Taking taylor expansion of PI in k 0.604 * [taylor]: Taking taylor expansion of n in k 0.604 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.604 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.604 * [taylor]: Taking taylor expansion of k in n 0.604 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.604 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.604 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.604 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.604 * [taylor]: Taking taylor expansion of 0.5 in n 0.604 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.604 * [taylor]: Taking taylor expansion of 1.0 in n 0.604 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.604 * [taylor]: Taking taylor expansion of k in n 0.604 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.604 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.604 * [taylor]: Taking taylor expansion of 2.0 in n 0.604 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.604 * [taylor]: Taking taylor expansion of PI in n 0.604 * [taylor]: Taking taylor expansion of n in n 0.605 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.605 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.605 * [taylor]: Taking taylor expansion of k in n 0.605 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.605 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.605 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.605 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.605 * [taylor]: Taking taylor expansion of 0.5 in n 0.605 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.605 * [taylor]: Taking taylor expansion of 1.0 in n 0.605 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.605 * [taylor]: Taking taylor expansion of k in n 0.605 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.605 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.605 * [taylor]: Taking taylor expansion of 2.0 in n 0.605 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.605 * [taylor]: Taking taylor expansion of PI in n 0.605 * [taylor]: Taking taylor expansion of n in n 0.605 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 0.605 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.605 * [taylor]: Taking taylor expansion of k in k 0.605 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.606 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.606 * [taylor]: Taking taylor expansion of 0.5 in k 0.606 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.606 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.606 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.606 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.606 * [taylor]: Taking taylor expansion of 2.0 in k 0.606 * [taylor]: Taking taylor expansion of PI in k 0.606 * [taylor]: Taking taylor expansion of (log n) in k 0.606 * [taylor]: Taking taylor expansion of n in k 0.606 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.606 * [taylor]: Taking taylor expansion of 1.0 in k 0.606 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.606 * [taylor]: Taking taylor expansion of k in k 0.607 * [taylor]: Taking taylor expansion of 0 in k 0.608 * [taylor]: Taking taylor expansion of 0 in k 0.610 * [taylor]: Taking taylor expansion of 0 in k 0.611 * [approximate]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (n k) around 0 0.611 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.611 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.611 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.611 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.611 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.611 * [taylor]: Taking taylor expansion of 0.5 in k 0.611 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.611 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.611 * [taylor]: Taking taylor expansion of k in k 0.611 * [taylor]: Taking taylor expansion of 1.0 in k 0.611 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.611 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.611 * [taylor]: Taking taylor expansion of -2.0 in k 0.611 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.611 * [taylor]: Taking taylor expansion of PI in k 0.611 * [taylor]: Taking taylor expansion of n in k 0.611 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.612 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.612 * [taylor]: Taking taylor expansion of -1 in k 0.612 * [taylor]: Taking taylor expansion of k in k 0.612 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.612 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.612 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.612 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.612 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.612 * [taylor]: Taking taylor expansion of 0.5 in n 0.612 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.612 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.612 * [taylor]: Taking taylor expansion of k in n 0.612 * [taylor]: Taking taylor expansion of 1.0 in n 0.612 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.612 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.612 * [taylor]: Taking taylor expansion of -2.0 in n 0.612 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.612 * [taylor]: Taking taylor expansion of PI in n 0.612 * [taylor]: Taking taylor expansion of n in n 0.612 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.612 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.612 * [taylor]: Taking taylor expansion of -1 in n 0.612 * [taylor]: Taking taylor expansion of k in n 0.613 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.613 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.613 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.613 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.613 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.613 * [taylor]: Taking taylor expansion of 0.5 in n 0.613 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.613 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.613 * [taylor]: Taking taylor expansion of k in n 0.613 * [taylor]: Taking taylor expansion of 1.0 in n 0.613 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.613 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.613 * [taylor]: Taking taylor expansion of -2.0 in n 0.613 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.613 * [taylor]: Taking taylor expansion of PI in n 0.613 * [taylor]: Taking taylor expansion of n in n 0.613 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.613 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.613 * [taylor]: Taking taylor expansion of -1 in n 0.613 * [taylor]: Taking taylor expansion of k in n 0.614 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k 0.614 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.614 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.614 * [taylor]: Taking taylor expansion of 0.5 in k 0.614 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.614 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.614 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.614 * [taylor]: Taking taylor expansion of k in k 0.614 * [taylor]: Taking taylor expansion of 1.0 in k 0.614 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.614 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.614 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.614 * [taylor]: Taking taylor expansion of -2.0 in k 0.614 * [taylor]: Taking taylor expansion of PI in k 0.614 * [taylor]: Taking taylor expansion of (log n) in k 0.614 * [taylor]: Taking taylor expansion of n in k 0.614 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.614 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.614 * [taylor]: Taking taylor expansion of -1 in k 0.614 * [taylor]: Taking taylor expansion of k in k 0.618 * [taylor]: Taking taylor expansion of 0 in k 0.620 * [taylor]: Taking taylor expansion of 0 in k 0.622 * [taylor]: Taking taylor expansion of 0 in k 0.622 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.622 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.622 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.622 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.622 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.622 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.622 * [taylor]: Taking taylor expansion of 0.5 in k 0.622 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.623 * [taylor]: Taking taylor expansion of 1.0 in k 0.623 * [taylor]: Taking taylor expansion of k in k 0.623 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.623 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.623 * [taylor]: Taking taylor expansion of 2.0 in k 0.623 * [taylor]: Taking taylor expansion of (* n PI) in k 0.623 * [taylor]: Taking taylor expansion of n in k 0.623 * [taylor]: Taking taylor expansion of PI in k 0.623 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.623 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.623 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.623 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.623 * [taylor]: Taking taylor expansion of 0.5 in n 0.623 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.623 * [taylor]: Taking taylor expansion of 1.0 in n 0.623 * [taylor]: Taking taylor expansion of k in n 0.623 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.623 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.623 * [taylor]: Taking taylor expansion of 2.0 in n 0.623 * [taylor]: Taking taylor expansion of (* n PI) in n 0.623 * [taylor]: Taking taylor expansion of n in n 0.623 * [taylor]: Taking taylor expansion of PI in n 0.623 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.623 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.623 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.623 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.623 * [taylor]: Taking taylor expansion of 0.5 in n 0.623 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.623 * [taylor]: Taking taylor expansion of 1.0 in n 0.623 * [taylor]: Taking taylor expansion of k in n 0.623 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.624 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.624 * [taylor]: Taking taylor expansion of 2.0 in n 0.624 * [taylor]: Taking taylor expansion of (* n PI) in n 0.624 * [taylor]: Taking taylor expansion of n in n 0.624 * [taylor]: Taking taylor expansion of PI in n 0.624 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.624 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.624 * [taylor]: Taking taylor expansion of 0.5 in k 0.624 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.624 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.624 * [taylor]: Taking taylor expansion of 1.0 in k 0.624 * [taylor]: Taking taylor expansion of k in k 0.624 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.624 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.624 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.624 * [taylor]: Taking taylor expansion of 2.0 in k 0.624 * [taylor]: Taking taylor expansion of PI in k 0.624 * [taylor]: Taking taylor expansion of (log n) in k 0.624 * [taylor]: Taking taylor expansion of n in k 0.625 * [taylor]: Taking taylor expansion of 0 in k 0.626 * [taylor]: Taking taylor expansion of 0 in k 0.628 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.628 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.628 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.628 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.628 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.628 * [taylor]: Taking taylor expansion of 0.5 in k 0.628 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.628 * [taylor]: Taking taylor expansion of 1.0 in k 0.628 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.628 * [taylor]: Taking taylor expansion of k in k 0.628 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.628 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.628 * [taylor]: Taking taylor expansion of 2.0 in k 0.629 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.629 * [taylor]: Taking taylor expansion of PI in k 0.629 * [taylor]: Taking taylor expansion of n in k 0.629 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.629 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.629 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.629 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.629 * [taylor]: Taking taylor expansion of 0.5 in n 0.629 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.629 * [taylor]: Taking taylor expansion of 1.0 in n 0.629 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.629 * [taylor]: Taking taylor expansion of k in n 0.629 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.629 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.629 * [taylor]: Taking taylor expansion of 2.0 in n 0.629 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.629 * [taylor]: Taking taylor expansion of PI in n 0.629 * [taylor]: Taking taylor expansion of n in n 0.629 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.629 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.629 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.629 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.629 * [taylor]: Taking taylor expansion of 0.5 in n 0.629 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.629 * [taylor]: Taking taylor expansion of 1.0 in n 0.630 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.630 * [taylor]: Taking taylor expansion of k in n 0.630 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.630 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.630 * [taylor]: Taking taylor expansion of 2.0 in n 0.630 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.630 * [taylor]: Taking taylor expansion of PI in n 0.630 * [taylor]: Taking taylor expansion of n in n 0.630 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.630 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.630 * [taylor]: Taking taylor expansion of 0.5 in k 0.630 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.630 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.630 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.630 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.630 * [taylor]: Taking taylor expansion of 2.0 in k 0.630 * [taylor]: Taking taylor expansion of PI in k 0.630 * [taylor]: Taking taylor expansion of (log n) in k 0.630 * [taylor]: Taking taylor expansion of n in k 0.630 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.630 * [taylor]: Taking taylor expansion of 1.0 in k 0.630 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.630 * [taylor]: Taking taylor expansion of k in k 0.631 * [taylor]: Taking taylor expansion of 0 in k 0.632 * [taylor]: Taking taylor expansion of 0 in k 0.633 * [taylor]: Taking taylor expansion of 0 in k 0.633 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.633 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.633 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.633 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.633 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.633 * [taylor]: Taking taylor expansion of 0.5 in k 0.633 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.633 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.633 * [taylor]: Taking taylor expansion of k in k 0.633 * [taylor]: Taking taylor expansion of 1.0 in k 0.633 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.633 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.633 * [taylor]: Taking taylor expansion of -2.0 in k 0.633 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.633 * [taylor]: Taking taylor expansion of PI in k 0.633 * [taylor]: Taking taylor expansion of n in k 0.634 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.634 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.634 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.634 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.634 * [taylor]: Taking taylor expansion of 0.5 in n 0.634 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.634 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.634 * [taylor]: Taking taylor expansion of k in n 0.634 * [taylor]: Taking taylor expansion of 1.0 in n 0.634 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.634 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.634 * [taylor]: Taking taylor expansion of -2.0 in n 0.634 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.634 * [taylor]: Taking taylor expansion of PI in n 0.634 * [taylor]: Taking taylor expansion of n in n 0.634 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.634 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.634 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.634 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.634 * [taylor]: Taking taylor expansion of 0.5 in n 0.634 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.634 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.634 * [taylor]: Taking taylor expansion of k in n 0.634 * [taylor]: Taking taylor expansion of 1.0 in n 0.634 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.634 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.634 * [taylor]: Taking taylor expansion of -2.0 in n 0.634 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.634 * [taylor]: Taking taylor expansion of PI in n 0.635 * [taylor]: Taking taylor expansion of n in n 0.635 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.635 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.635 * [taylor]: Taking taylor expansion of 0.5 in k 0.635 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.635 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.635 * [taylor]: Taking taylor expansion of k in k 0.635 * [taylor]: Taking taylor expansion of 1.0 in k 0.635 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.635 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.635 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.635 * [taylor]: Taking taylor expansion of -2.0 in k 0.635 * [taylor]: Taking taylor expansion of PI in k 0.635 * [taylor]: Taking taylor expansion of (log n) in k 0.635 * [taylor]: Taking taylor expansion of n in k 0.636 * [taylor]: Taking taylor expansion of 0 in k 0.637 * [taylor]: Taking taylor expansion of 0 in k 0.638 * [taylor]: Taking taylor expansion of 0 in k 0.638 * * * [progress]: simplifying candidates 0.640 * [simplify]: Simplifying using # : (* PI n) (+ (log PI) (log n)) (log (* PI n)) (exp (* PI n)) (* (* (* PI PI) PI) (* (* n n) n)) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (* (* (* PI n) (* PI n)) (* PI n)) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) (* PI 1) (* (cbrt PI) n) (* (sqrt PI) n) (* PI n) (- (* (+ (log 2.0) (+ (log PI) (log n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (+ (log 2.0) (log (* PI n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (log (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (log (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (exp (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (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))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (* (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (neg (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (neg (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt 1)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) 1) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt 1)) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (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) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt 1)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) 1) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1 1) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (cbrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt 1)) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) 1) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt 1)) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 1) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))) (* (+ (log 2.0) (+ (log PI) (log n))) (/ (- 1.0 k) 2.0)) (* (+ (log 2.0) (log (* PI n))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 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 (/ (- 1.0 k) 2.0)) (pow (* PI 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)) (* n PI) (* n PI) (* n PI) (- (+ (* 0.125 (* (pow k 2) (* NAN (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))) (+ (* k (* (pow NAN 3) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (* NAN (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) (+ (* (pow k 2) (* (pow NAN 5) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (+ (* NAN (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* NAN (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))))) (+ (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow NAN 3) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) (+ (* 0.5 (* k (* NAN (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (* NAN (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2)) (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 3)))) (+ (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN) (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k)) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 0.664 * * [simplify]: iteration 0 : 5003 enodes (cost 2191 ) 0.671 * [simplify]: Simplified to: (* PI n) (log (* PI n)) (log (* PI n)) (pow (exp PI) n) (pow (* PI n) 3) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (pow (* PI n) 3) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) PI (* n (cbrt PI)) (* n (sqrt PI)) (* PI n) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (exp (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k)) 3) (* (cbrt (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (cbrt (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k)))) (cbrt (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k)) 3) (sqrt (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (neg (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (neg (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (* (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (* (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (* (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (cbrt (sqrt k))) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (fabs (cbrt k))) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (cbrt k))) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt k)) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2))) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)) (pow (* PI (* 2.0 n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* PI (* 2.0 n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* PI (* 2.0 n)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (cbrt (- 1.0 k)))) (pow (* PI (* 2.0 n)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* PI (* 2.0 n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* PI (* 2.0 n)) (sqrt (- 1.0 k))) (pow (* PI (* 2.0 n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (pow (* PI (* 2.0 n)) (/ (+ (sqrt k) (sqrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2.0))) (pow (* PI (* 2.0 n)) (+ (sqrt k) (sqrt 1.0))) (pow (* PI (* 2.0 n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (pow (* PI (* 2.0 n)) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0)) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (exp (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (pow (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (* PI n) (* PI n) (* PI n) (+ (* 0.125 (* k (* k (* NAN (* (pow (* PI (* 2.0 n)) 0.5) (pow (log n) 2)))))) (+ (+ (* (* k k) (* (* NAN (* (log n) (* (log (* PI 2.0)) (pow (* PI (* 2.0 n)) 0.5)))) 0.25)) (* (pow (* PI (* 2.0 n)) 0.5) (+ (* k (* k (pow NAN 5))) NAN))) (- (* (pow (* PI (* 2.0 n)) 0.5) (+ (* k (pow NAN 3)) (* (* 0.125 (* k k)) (* NAN (pow (log (* PI 2.0)) 2))))) (+ (* 0.5 (* k (* NAN (* (pow (* PI (* 2.0 n)) 0.5) (log (* PI (* 2.0 n))))))) (* (* (* (* k k) 0.5) (* (pow (* PI (* 2.0 n)) 0.5) (pow NAN 3))) (log (* PI (* 2.0 n)))))))) (+ (* (/ (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI 2.0)) (neg (log n))))) k) NAN) (* (/ (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI 2.0)) (neg (log n))))) (* k k)) (+ (pow NAN 3) (/ (pow NAN 5) k)))) (+ (/ (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))) NAN) (* (/ NAN k) (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))))) (+ (+ (pow (* PI (* 2.0 n)) 0.5) (* (* k k) (* (* (log n) (* (log (* PI 2.0)) (pow (* PI (* 2.0 n)) 0.5))) 0.25))) (- (* 0.125 (* (* k k) (* (pow (* PI (* 2.0 n)) 0.5) (+ (pow (log (* PI 2.0)) 2) (pow (log n) 2))))) (* 0.5 (* k (* (pow (* PI (* 2.0 n)) 0.5) (log (* PI (* 2.0 n)))))))) (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI 2.0)) (neg (log n))))) (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))) 0.672 * * * [progress]: adding candidates to table 0.869 * * [progress]: iteration 2 / 4 0.869 * * * [progress]: picking best candidate 0.903 * * * * [pick]: Picked # 0.904 * * * [progress]: localizing error 0.918 * * * [progress]: generating rewritten candidates 0.918 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1) 0.923 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 0.930 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2) 0.939 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.964 * * * [progress]: generating series expansions 0.964 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1) 0.965 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.965 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.965 * [taylor]: Taking taylor expansion of 2.0 in n 0.965 * [taylor]: Taking taylor expansion of (* n PI) in n 0.965 * [taylor]: Taking taylor expansion of n in n 0.965 * [taylor]: Taking taylor expansion of PI in n 0.965 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.965 * [taylor]: Taking taylor expansion of 2.0 in n 0.965 * [taylor]: Taking taylor expansion of (* n PI) in n 0.965 * [taylor]: Taking taylor expansion of n in n 0.965 * [taylor]: Taking taylor expansion of PI in n 0.966 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.966 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.966 * [taylor]: Taking taylor expansion of 2.0 in n 0.966 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.966 * [taylor]: Taking taylor expansion of PI in n 0.966 * [taylor]: Taking taylor expansion of n in n 0.966 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.966 * [taylor]: Taking taylor expansion of 2.0 in n 0.966 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.966 * [taylor]: Taking taylor expansion of PI in n 0.966 * [taylor]: Taking taylor expansion of n in n 0.967 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.967 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.967 * [taylor]: Taking taylor expansion of -2.0 in n 0.967 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.967 * [taylor]: Taking taylor expansion of PI in n 0.967 * [taylor]: Taking taylor expansion of n in n 0.967 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.967 * [taylor]: Taking taylor expansion of -2.0 in n 0.967 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.967 * [taylor]: Taking taylor expansion of PI in n 0.967 * [taylor]: Taking taylor expansion of n in n 0.968 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 0.968 * [approximate]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 0.968 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.968 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.968 * [taylor]: Taking taylor expansion of k in n 0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.968 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.968 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.968 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.968 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.968 * [taylor]: Taking taylor expansion of 0.5 in n 0.968 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.968 * [taylor]: Taking taylor expansion of 1.0 in n 0.968 * [taylor]: Taking taylor expansion of k in n 0.968 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.968 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.968 * [taylor]: Taking taylor expansion of 2.0 in n 0.968 * [taylor]: Taking taylor expansion of (* n PI) in n 0.968 * [taylor]: Taking taylor expansion of n in n 0.968 * [taylor]: Taking taylor expansion of PI in n 0.969 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.969 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.969 * [taylor]: Taking taylor expansion of k in k 0.969 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.969 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.969 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.969 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.969 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.969 * [taylor]: Taking taylor expansion of 0.5 in k 0.969 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.969 * [taylor]: Taking taylor expansion of 1.0 in k 0.969 * [taylor]: Taking taylor expansion of k in k 0.969 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.969 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.969 * [taylor]: Taking taylor expansion of 2.0 in k 0.969 * [taylor]: Taking taylor expansion of (* n PI) in k 0.969 * [taylor]: Taking taylor expansion of n in k 0.969 * [taylor]: Taking taylor expansion of PI in k 0.969 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.969 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.969 * [taylor]: Taking taylor expansion of k in k 0.969 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.969 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.969 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.969 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.970 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.970 * [taylor]: Taking taylor expansion of 0.5 in k 0.970 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.970 * [taylor]: Taking taylor expansion of 1.0 in k 0.970 * [taylor]: Taking taylor expansion of k in k 0.970 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.970 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.970 * [taylor]: Taking taylor expansion of 2.0 in k 0.970 * [taylor]: Taking taylor expansion of (* n PI) in k 0.970 * [taylor]: Taking taylor expansion of n in k 0.970 * [taylor]: Taking taylor expansion of PI in k 0.970 * [taylor]: Taking taylor expansion of 0 in n 0.972 * [taylor]: Taking taylor expansion of (* NAN (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 0.972 * [taylor]: Taking taylor expansion of NAN in n 0.972 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 0.972 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 0.972 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.972 * [taylor]: Taking taylor expansion of 0.5 in n 0.972 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.972 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.972 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.972 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.972 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.972 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.972 * [taylor]: Taking taylor expansion of 1.0 in n 0.972 * [taylor]: Taking taylor expansion of (log PI) in n 0.972 * [taylor]: Taking taylor expansion of PI in n 0.972 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.972 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.972 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.972 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.972 * [taylor]: Taking taylor expansion of 1.0 in n 0.972 * [taylor]: Taking taylor expansion of (log n) in n 0.972 * [taylor]: Taking taylor expansion of n in n 0.972 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.972 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.972 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.972 * [taylor]: Taking taylor expansion of 1.0 in n 0.972 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.972 * [taylor]: Taking taylor expansion of 2.0 in n 0.977 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) (* NAN (log (* 2.0 (* n PI)))))) (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (pow NAN 3))) in n 0.977 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) (* NAN (log (* 2.0 (* n PI)))))) in n 0.977 * [taylor]: Taking taylor expansion of 0.5 in n 0.977 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) (* NAN (log (* 2.0 (* n PI))))) in n 0.977 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) in n 0.977 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))))) in n 0.977 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 0.977 * [taylor]: Taking taylor expansion of 0.5 in n 0.977 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 0.977 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 0.977 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 0.977 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.977 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.977 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.977 * [taylor]: Taking taylor expansion of 1.0 in n 0.977 * [taylor]: Taking taylor expansion of (log PI) in n 0.977 * [taylor]: Taking taylor expansion of PI in n 0.977 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 0.977 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.977 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.977 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.977 * [taylor]: Taking taylor expansion of 1.0 in n 0.977 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.977 * [taylor]: Taking taylor expansion of 2.0 in n 0.978 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.978 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.978 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.978 * [taylor]: Taking taylor expansion of 1.0 in n 0.978 * [taylor]: Taking taylor expansion of (log n) in n 0.978 * [taylor]: Taking taylor expansion of n in n 0.979 * [taylor]: Taking taylor expansion of (* NAN (log (* 2.0 (* n PI)))) in n 0.979 * [taylor]: Taking taylor expansion of NAN in n 0.979 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.979 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.979 * [taylor]: Taking taylor expansion of 2.0 in n 0.979 * [taylor]: Taking taylor expansion of (* n PI) in n 0.979 * [taylor]: Taking taylor expansion of n in n 0.979 * [taylor]: Taking taylor expansion of PI in n 0.979 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (pow NAN 3)) in n 0.979 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in n 0.979 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))))) in n 0.979 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.979 * [taylor]: Taking taylor expansion of 0.5 in n 0.979 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.979 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.979 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.979 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.979 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.979 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.979 * [taylor]: Taking taylor expansion of 1.0 in n 0.979 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.979 * [taylor]: Taking taylor expansion of 2.0 in n 0.979 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.979 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.979 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.979 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.979 * [taylor]: Taking taylor expansion of 1.0 in n 0.979 * [taylor]: Taking taylor expansion of (log n) in n 0.979 * [taylor]: Taking taylor expansion of n in n 0.980 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.980 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.980 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.980 * [taylor]: Taking taylor expansion of 1.0 in n 0.980 * [taylor]: Taking taylor expansion of (log PI) in n 0.980 * [taylor]: Taking taylor expansion of PI in n 0.985 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.985 * [taylor]: Taking taylor expansion of NAN in n 0.995 * [taylor]: Taking taylor expansion of (+ (* (pow NAN 5) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (+ (* 0.125 (* (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) (* NAN (pow (log (* 2.0 (* n PI))) 2)))) (* 0.5 (* (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) (* (pow NAN 3) (log (* 2.0 (* n PI)))))))) in n 0.995 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 0.995 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.995 * [taylor]: Taking taylor expansion of NAN in n 0.995 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 0.995 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 0.995 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.996 * [taylor]: Taking taylor expansion of 0.5 in n 0.996 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.996 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.996 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.996 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.996 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.996 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.996 * [taylor]: Taking taylor expansion of 1.0 in n 0.996 * [taylor]: Taking taylor expansion of (log PI) in n 0.996 * [taylor]: Taking taylor expansion of PI in n 0.996 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.996 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.996 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.996 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.996 * [taylor]: Taking taylor expansion of 1.0 in n 0.996 * [taylor]: Taking taylor expansion of (log n) in n 0.996 * [taylor]: Taking taylor expansion of n in n 0.996 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.996 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.996 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.996 * [taylor]: Taking taylor expansion of 1.0 in n 0.996 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.996 * [taylor]: Taking taylor expansion of 2.0 in n 0.997 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) (* NAN (pow (log (* 2.0 (* n PI))) 2)))) (* 0.5 (* (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) (* (pow NAN 3) (log (* 2.0 (* n PI))))))) in n 0.998 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) (* NAN (pow (log (* 2.0 (* n PI))) 2)))) in n 0.998 * [taylor]: Taking taylor expansion of 0.125 in n 0.998 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) (* NAN (pow (log (* 2.0 (* n PI))) 2))) in n 0.998 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) in n 0.998 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))))) in n 0.998 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 0.998 * [taylor]: Taking taylor expansion of 0.5 in n 0.998 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 0.998 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 0.998 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 0.998 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.998 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.998 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.998 * [taylor]: Taking taylor expansion of 1.0 in n 0.998 * [taylor]: Taking taylor expansion of (log PI) in n 0.998 * [taylor]: Taking taylor expansion of PI in n 0.998 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 0.998 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.998 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.998 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.998 * [taylor]: Taking taylor expansion of 1.0 in n 0.998 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.998 * [taylor]: Taking taylor expansion of 2.0 in n 0.998 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.998 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.998 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.998 * [taylor]: Taking taylor expansion of 1.0 in n 0.998 * [taylor]: Taking taylor expansion of (log n) in n 0.998 * [taylor]: Taking taylor expansion of n in n 0.999 * [taylor]: Taking taylor expansion of (* NAN (pow (log (* 2.0 (* n PI))) 2)) in n 0.999 * [taylor]: Taking taylor expansion of NAN in n 0.999 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.999 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.999 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.999 * [taylor]: Taking taylor expansion of 2.0 in n 0.999 * [taylor]: Taking taylor expansion of (* n PI) in n 0.999 * [taylor]: Taking taylor expansion of n in n 0.999 * [taylor]: Taking taylor expansion of PI in n 1.000 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) (* (pow NAN 3) (log (* 2.0 (* n PI)))))) in n 1.000 * [taylor]: Taking taylor expansion of 0.5 in n 1.000 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) (* (pow NAN 3) (log (* 2.0 (* n PI))))) in n 1.000 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) in n 1.000 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))))) in n 1.000 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 1.000 * [taylor]: Taking taylor expansion of 0.5 in n 1.000 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 1.000 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 1.000 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 1.000 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.000 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.000 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.000 * [taylor]: Taking taylor expansion of 1.0 in n 1.000 * [taylor]: Taking taylor expansion of (log PI) in n 1.000 * [taylor]: Taking taylor expansion of PI in n 1.000 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 1.000 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.000 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.000 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.000 * [taylor]: Taking taylor expansion of 1.0 in n 1.000 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.000 * [taylor]: Taking taylor expansion of 2.0 in n 1.000 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.000 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.000 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.000 * [taylor]: Taking taylor expansion of 1.0 in n 1.000 * [taylor]: Taking taylor expansion of (log n) in n 1.000 * [taylor]: Taking taylor expansion of n in n 1.001 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (log (* 2.0 (* n PI)))) in n 1.001 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.001 * [taylor]: Taking taylor expansion of NAN in n 1.001 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.001 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.001 * [taylor]: Taking taylor expansion of 2.0 in n 1.001 * [taylor]: Taking taylor expansion of (* n PI) in n 1.001 * [taylor]: Taking taylor expansion of n in n 1.001 * [taylor]: Taking taylor expansion of PI in n 1.015 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 1.015 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 1.015 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.015 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.015 * [taylor]: Taking taylor expansion of k in n 1.016 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.016 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.016 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.016 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.016 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.016 * [taylor]: Taking taylor expansion of 0.5 in n 1.016 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.016 * [taylor]: Taking taylor expansion of 1.0 in n 1.016 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.016 * [taylor]: Taking taylor expansion of k in n 1.016 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.016 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.016 * [taylor]: Taking taylor expansion of 2.0 in n 1.016 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.016 * [taylor]: Taking taylor expansion of PI in n 1.016 * [taylor]: Taking taylor expansion of n in n 1.016 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.016 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.016 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.016 * [taylor]: Taking taylor expansion of k in k 1.016 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.016 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.016 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.016 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.017 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.017 * [taylor]: Taking taylor expansion of 0.5 in k 1.017 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.017 * [taylor]: Taking taylor expansion of 1.0 in k 1.017 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.017 * [taylor]: Taking taylor expansion of k in k 1.017 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.017 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.017 * [taylor]: Taking taylor expansion of 2.0 in k 1.017 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.017 * [taylor]: Taking taylor expansion of PI in k 1.017 * [taylor]: Taking taylor expansion of n in k 1.017 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.017 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.017 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.017 * [taylor]: Taking taylor expansion of k in k 1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.017 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.017 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.017 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.017 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.017 * [taylor]: Taking taylor expansion of 0.5 in k 1.017 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.017 * [taylor]: Taking taylor expansion of 1.0 in k 1.017 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.017 * [taylor]: Taking taylor expansion of k in k 1.017 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.017 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.017 * [taylor]: Taking taylor expansion of 2.0 in k 1.017 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.017 * [taylor]: Taking taylor expansion of PI in k 1.017 * [taylor]: Taking taylor expansion of n in k 1.018 * [taylor]: Taking taylor expansion of 0 in n 1.018 * [taylor]: Taking taylor expansion of (/ NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.018 * [taylor]: Taking taylor expansion of NAN in n 1.018 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.018 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.018 * [taylor]: Taking taylor expansion of 0.5 in n 1.018 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.018 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.018 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.018 * [taylor]: Taking taylor expansion of 2.0 in n 1.018 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.018 * [taylor]: Taking taylor expansion of PI in n 1.018 * [taylor]: Taking taylor expansion of n in n 1.018 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.018 * [taylor]: Taking taylor expansion of 1.0 in n 1.018 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.019 * [taylor]: Taking taylor expansion of k in n 1.020 * [taylor]: Taking taylor expansion of (/ (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.020 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.020 * [taylor]: Taking taylor expansion of NAN in n 1.020 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.020 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.020 * [taylor]: Taking taylor expansion of 0.5 in n 1.020 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.020 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.020 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.020 * [taylor]: Taking taylor expansion of 2.0 in n 1.020 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.020 * [taylor]: Taking taylor expansion of PI in n 1.020 * [taylor]: Taking taylor expansion of n in n 1.020 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.020 * [taylor]: Taking taylor expansion of 1.0 in n 1.020 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.020 * [taylor]: Taking taylor expansion of k in n 1.022 * [taylor]: Taking taylor expansion of (/ (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.022 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.022 * [taylor]: Taking taylor expansion of NAN in n 1.022 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.022 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.022 * [taylor]: Taking taylor expansion of 0.5 in n 1.022 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.022 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.022 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.022 * [taylor]: Taking taylor expansion of 2.0 in n 1.022 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.022 * [taylor]: Taking taylor expansion of PI in n 1.022 * [taylor]: Taking taylor expansion of n in n 1.022 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.023 * [taylor]: Taking taylor expansion of 1.0 in n 1.023 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.023 * [taylor]: Taking taylor expansion of k in n 1.024 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 1.024 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 1.024 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.024 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.024 * [taylor]: Taking taylor expansion of -1 in n 1.024 * [taylor]: Taking taylor expansion of k in n 1.024 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.024 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.024 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.024 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.024 * [taylor]: Taking taylor expansion of 0.5 in n 1.024 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.024 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.024 * [taylor]: Taking taylor expansion of k in n 1.024 * [taylor]: Taking taylor expansion of 1.0 in n 1.024 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.024 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.025 * [taylor]: Taking taylor expansion of -2.0 in n 1.025 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.025 * [taylor]: Taking taylor expansion of PI in n 1.025 * [taylor]: Taking taylor expansion of n in n 1.025 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 1.025 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.025 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.025 * [taylor]: Taking taylor expansion of -1 in k 1.025 * [taylor]: Taking taylor expansion of k in k 1.025 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.025 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.025 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.025 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.025 * [taylor]: Taking taylor expansion of 0.5 in k 1.025 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.025 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.025 * [taylor]: Taking taylor expansion of k in k 1.025 * [taylor]: Taking taylor expansion of 1.0 in k 1.025 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.025 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.025 * [taylor]: Taking taylor expansion of -2.0 in k 1.025 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.025 * [taylor]: Taking taylor expansion of PI in k 1.025 * [taylor]: Taking taylor expansion of n in k 1.026 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 1.026 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.026 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.026 * [taylor]: Taking taylor expansion of -1 in k 1.026 * [taylor]: Taking taylor expansion of k in k 1.026 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.026 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.026 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.026 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.026 * [taylor]: Taking taylor expansion of 0.5 in k 1.026 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.026 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.026 * [taylor]: Taking taylor expansion of k in k 1.026 * [taylor]: Taking taylor expansion of 1.0 in k 1.026 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.026 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.026 * [taylor]: Taking taylor expansion of -2.0 in k 1.026 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.026 * [taylor]: Taking taylor expansion of PI in k 1.026 * [taylor]: Taking taylor expansion of n in k 1.026 * [taylor]: Taking taylor expansion of (/ NAN (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 1.026 * [taylor]: Taking taylor expansion of NAN in n 1.026 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.026 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.026 * [taylor]: Taking taylor expansion of 0.5 in n 1.027 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.027 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.027 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.027 * [taylor]: Taking taylor expansion of k in n 1.027 * [taylor]: Taking taylor expansion of 1.0 in n 1.027 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.027 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.027 * [taylor]: Taking taylor expansion of -2.0 in n 1.027 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.027 * [taylor]: Taking taylor expansion of PI in n 1.027 * [taylor]: Taking taylor expansion of n in n 1.028 * [taylor]: Taking taylor expansion of (/ (pow NAN 3) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 1.028 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.028 * [taylor]: Taking taylor expansion of NAN in n 1.028 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.028 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.028 * [taylor]: Taking taylor expansion of 0.5 in n 1.028 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.028 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.028 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.028 * [taylor]: Taking taylor expansion of k in n 1.028 * [taylor]: Taking taylor expansion of 1.0 in n 1.028 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.028 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.028 * [taylor]: Taking taylor expansion of -2.0 in n 1.028 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.028 * [taylor]: Taking taylor expansion of PI in n 1.028 * [taylor]: Taking taylor expansion of n in n 1.030 * [taylor]: Taking taylor expansion of (/ (pow NAN 5) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 1.030 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.030 * [taylor]: Taking taylor expansion of NAN in n 1.030 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.030 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.030 * [taylor]: Taking taylor expansion of 0.5 in n 1.030 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.030 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.030 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.030 * [taylor]: Taking taylor expansion of k in n 1.030 * [taylor]: Taking taylor expansion of 1.0 in n 1.030 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.030 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.030 * [taylor]: Taking taylor expansion of -2.0 in n 1.030 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.030 * [taylor]: Taking taylor expansion of PI in n 1.030 * [taylor]: Taking taylor expansion of n in n 1.032 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2) 1.032 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.032 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.032 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.032 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.032 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.032 * [taylor]: Taking taylor expansion of 0.5 in k 1.032 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.032 * [taylor]: Taking taylor expansion of 1.0 in k 1.032 * [taylor]: Taking taylor expansion of k in k 1.032 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.032 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.032 * [taylor]: Taking taylor expansion of 2.0 in k 1.032 * [taylor]: Taking taylor expansion of (* n PI) in k 1.032 * [taylor]: Taking taylor expansion of n in k 1.032 * [taylor]: Taking taylor expansion of PI in k 1.032 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.032 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.032 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.033 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.033 * [taylor]: Taking taylor expansion of 0.5 in n 1.033 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.033 * [taylor]: Taking taylor expansion of 1.0 in n 1.033 * [taylor]: Taking taylor expansion of k in n 1.033 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.033 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.033 * [taylor]: Taking taylor expansion of 2.0 in n 1.033 * [taylor]: Taking taylor expansion of (* n PI) in n 1.033 * [taylor]: Taking taylor expansion of n in n 1.033 * [taylor]: Taking taylor expansion of PI in n 1.033 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.033 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.033 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.033 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.033 * [taylor]: Taking taylor expansion of 0.5 in n 1.033 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.033 * [taylor]: Taking taylor expansion of 1.0 in n 1.033 * [taylor]: Taking taylor expansion of k in n 1.033 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.033 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.033 * [taylor]: Taking taylor expansion of 2.0 in n 1.033 * [taylor]: Taking taylor expansion of (* n PI) in n 1.033 * [taylor]: Taking taylor expansion of n in n 1.033 * [taylor]: Taking taylor expansion of PI in n 1.034 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.034 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.034 * [taylor]: Taking taylor expansion of 0.5 in k 1.034 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.034 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.034 * [taylor]: Taking taylor expansion of 1.0 in k 1.034 * [taylor]: Taking taylor expansion of k in k 1.034 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.034 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.034 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.034 * [taylor]: Taking taylor expansion of 2.0 in k 1.034 * [taylor]: Taking taylor expansion of PI in k 1.034 * [taylor]: Taking taylor expansion of (log n) in k 1.034 * [taylor]: Taking taylor expansion of n in k 1.035 * [taylor]: Taking taylor expansion of 0 in k 1.036 * [taylor]: Taking taylor expansion of 0 in k 1.038 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.038 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.038 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.038 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.038 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.038 * [taylor]: Taking taylor expansion of 0.5 in k 1.038 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.038 * [taylor]: Taking taylor expansion of 1.0 in k 1.038 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.038 * [taylor]: Taking taylor expansion of k in k 1.038 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.038 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.038 * [taylor]: Taking taylor expansion of 2.0 in k 1.038 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.038 * [taylor]: Taking taylor expansion of PI in k 1.038 * [taylor]: Taking taylor expansion of n in k 1.038 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.038 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.039 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.039 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.039 * [taylor]: Taking taylor expansion of 0.5 in n 1.039 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.039 * [taylor]: Taking taylor expansion of 1.0 in n 1.039 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.039 * [taylor]: Taking taylor expansion of k in n 1.039 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.039 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.039 * [taylor]: Taking taylor expansion of 2.0 in n 1.039 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.039 * [taylor]: Taking taylor expansion of PI in n 1.039 * [taylor]: Taking taylor expansion of n in n 1.039 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.039 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.039 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.039 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.039 * [taylor]: Taking taylor expansion of 0.5 in n 1.039 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.039 * [taylor]: Taking taylor expansion of 1.0 in n 1.039 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.039 * [taylor]: Taking taylor expansion of k in n 1.039 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.039 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.039 * [taylor]: Taking taylor expansion of 2.0 in n 1.039 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.039 * [taylor]: Taking taylor expansion of PI in n 1.039 * [taylor]: Taking taylor expansion of n in n 1.040 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.040 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.040 * [taylor]: Taking taylor expansion of 0.5 in k 1.040 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.040 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.040 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.040 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.040 * [taylor]: Taking taylor expansion of 2.0 in k 1.040 * [taylor]: Taking taylor expansion of PI in k 1.040 * [taylor]: Taking taylor expansion of (log n) in k 1.040 * [taylor]: Taking taylor expansion of n in k 1.040 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.040 * [taylor]: Taking taylor expansion of 1.0 in k 1.040 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.040 * [taylor]: Taking taylor expansion of k in k 1.041 * [taylor]: Taking taylor expansion of 0 in k 1.042 * [taylor]: Taking taylor expansion of 0 in k 1.043 * [taylor]: Taking taylor expansion of 0 in k 1.043 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.043 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.043 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.043 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.043 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.043 * [taylor]: Taking taylor expansion of 0.5 in k 1.043 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.043 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.043 * [taylor]: Taking taylor expansion of k in k 1.043 * [taylor]: Taking taylor expansion of 1.0 in k 1.043 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.043 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.043 * [taylor]: Taking taylor expansion of -2.0 in k 1.043 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.043 * [taylor]: Taking taylor expansion of PI in k 1.043 * [taylor]: Taking taylor expansion of n in k 1.043 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.043 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.043 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.043 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.043 * [taylor]: Taking taylor expansion of 0.5 in n 1.043 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.043 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.043 * [taylor]: Taking taylor expansion of k in n 1.044 * [taylor]: Taking taylor expansion of 1.0 in n 1.044 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.044 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.044 * [taylor]: Taking taylor expansion of -2.0 in n 1.044 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.044 * [taylor]: Taking taylor expansion of PI in n 1.044 * [taylor]: Taking taylor expansion of n in n 1.044 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.044 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.044 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.044 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.044 * [taylor]: Taking taylor expansion of 0.5 in n 1.044 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.044 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.044 * [taylor]: Taking taylor expansion of k in n 1.044 * [taylor]: Taking taylor expansion of 1.0 in n 1.044 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.044 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.044 * [taylor]: Taking taylor expansion of -2.0 in n 1.044 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.044 * [taylor]: Taking taylor expansion of PI in n 1.044 * [taylor]: Taking taylor expansion of n in n 1.045 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.045 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.045 * [taylor]: Taking taylor expansion of 0.5 in k 1.045 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.045 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.045 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.045 * [taylor]: Taking taylor expansion of k in k 1.045 * [taylor]: Taking taylor expansion of 1.0 in k 1.045 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.045 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.045 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.045 * [taylor]: Taking taylor expansion of -2.0 in k 1.045 * [taylor]: Taking taylor expansion of PI in k 1.045 * [taylor]: Taking taylor expansion of (log n) in k 1.045 * [taylor]: Taking taylor expansion of n in k 1.046 * [taylor]: Taking taylor expansion of 0 in k 1.046 * [taylor]: Taking taylor expansion of 0 in k 1.047 * [taylor]: Taking taylor expansion of 0 in k 1.048 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.048 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in (k n) around 0 1.048 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 1.048 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.048 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.048 * [taylor]: Taking taylor expansion of k in n 1.048 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.048 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.048 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.048 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.048 * [taylor]: Taking taylor expansion of 0.5 in n 1.048 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.048 * [taylor]: Taking taylor expansion of 1.0 in n 1.048 * [taylor]: Taking taylor expansion of k in n 1.048 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.048 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.048 * [taylor]: Taking taylor expansion of 2.0 in n 1.048 * [taylor]: Taking taylor expansion of (* n PI) in n 1.048 * [taylor]: Taking taylor expansion of n in n 1.048 * [taylor]: Taking taylor expansion of PI in n 1.048 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 1.049 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.049 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.049 * [taylor]: Taking taylor expansion of k in k 1.049 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.049 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.049 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.049 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.049 * [taylor]: Taking taylor expansion of 0.5 in k 1.049 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.049 * [taylor]: Taking taylor expansion of 1.0 in k 1.049 * [taylor]: Taking taylor expansion of k in k 1.049 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.049 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.049 * [taylor]: Taking taylor expansion of 2.0 in k 1.049 * [taylor]: Taking taylor expansion of (* n PI) in k 1.049 * [taylor]: Taking taylor expansion of n in k 1.049 * [taylor]: Taking taylor expansion of PI in k 1.049 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 1.049 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.049 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.049 * [taylor]: Taking taylor expansion of k in k 1.049 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.049 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.049 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.049 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.049 * [taylor]: Taking taylor expansion of 0.5 in k 1.049 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.049 * [taylor]: Taking taylor expansion of 1.0 in k 1.049 * [taylor]: Taking taylor expansion of k in k 1.049 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.049 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.049 * [taylor]: Taking taylor expansion of 2.0 in k 1.049 * [taylor]: Taking taylor expansion of (* n PI) in k 1.049 * [taylor]: Taking taylor expansion of n in k 1.049 * [taylor]: Taking taylor expansion of PI in k 1.050 * [taylor]: Taking taylor expansion of 0 in n 1.050 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) NAN) in n 1.050 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.050 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.050 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.050 * [taylor]: Taking taylor expansion of 0.5 in n 1.050 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.051 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.051 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.051 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.051 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.051 * [taylor]: Taking taylor expansion of 1.0 in n 1.051 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.051 * [taylor]: Taking taylor expansion of 2.0 in n 1.051 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.051 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.051 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.051 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.051 * [taylor]: Taking taylor expansion of 1.0 in n 1.051 * [taylor]: Taking taylor expansion of (log n) in n 1.051 * [taylor]: Taking taylor expansion of n in n 1.051 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.051 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.051 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.051 * [taylor]: Taking taylor expansion of 1.0 in n 1.051 * [taylor]: Taking taylor expansion of (log PI) in n 1.051 * [taylor]: Taking taylor expansion of PI in n 1.052 * [taylor]: Taking taylor expansion of NAN in n 1.054 * [taylor]: Taking taylor expansion of (- (* (pow NAN 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (log (* 2.0 (* n PI))))))) in n 1.054 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.054 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.054 * [taylor]: Taking taylor expansion of NAN in n 1.054 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.054 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.054 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.054 * [taylor]: Taking taylor expansion of 0.5 in n 1.054 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.054 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.054 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.054 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.054 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.054 * [taylor]: Taking taylor expansion of 1.0 in n 1.054 * [taylor]: Taking taylor expansion of (log PI) in n 1.054 * [taylor]: Taking taylor expansion of PI in n 1.054 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.054 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.054 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.054 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.054 * [taylor]: Taking taylor expansion of 1.0 in n 1.054 * [taylor]: Taking taylor expansion of (log n) in n 1.054 * [taylor]: Taking taylor expansion of n in n 1.054 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.054 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.054 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.054 * [taylor]: Taking taylor expansion of 1.0 in n 1.054 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.054 * [taylor]: Taking taylor expansion of 2.0 in n 1.055 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (log (* 2.0 (* n PI)))))) in n 1.055 * [taylor]: Taking taylor expansion of 0.5 in n 1.055 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (log (* 2.0 (* n PI))))) in n 1.055 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 1.055 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 1.055 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 1.055 * [taylor]: Taking taylor expansion of 0.5 in n 1.055 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 1.055 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 1.055 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.055 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.055 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.055 * [taylor]: Taking taylor expansion of 1.0 in n 1.055 * [taylor]: Taking taylor expansion of (log PI) in n 1.055 * [taylor]: Taking taylor expansion of PI in n 1.056 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 1.056 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.056 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.056 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.056 * [taylor]: Taking taylor expansion of 1.0 in n 1.056 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.056 * [taylor]: Taking taylor expansion of 2.0 in n 1.056 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.056 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.056 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.056 * [taylor]: Taking taylor expansion of 1.0 in n 1.056 * [taylor]: Taking taylor expansion of (log n) in n 1.056 * [taylor]: Taking taylor expansion of n in n 1.057 * [taylor]: Taking taylor expansion of (* NAN (log (* 2.0 (* n PI)))) in n 1.057 * [taylor]: Taking taylor expansion of NAN in n 1.057 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.057 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.057 * [taylor]: Taking taylor expansion of 2.0 in n 1.057 * [taylor]: Taking taylor expansion of (* n PI) in n 1.057 * [taylor]: Taking taylor expansion of n in n 1.057 * [taylor]: Taking taylor expansion of PI in n 1.064 * [taylor]: Taking taylor expansion of (- (+ (* (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 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (pow (log (* 2.0 (* n PI))) 2))))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (pow NAN 3) (log (* 2.0 (* n PI))))))) in n 1.064 * [taylor]: Taking taylor expansion of (+ (* (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 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (pow (log (* 2.0 (* n PI))) 2))))) in n 1.064 * [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 1.064 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.064 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.064 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.064 * [taylor]: Taking taylor expansion of 0.5 in n 1.064 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.064 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.064 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.064 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.065 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.065 * [taylor]: Taking taylor expansion of 1.0 in n 1.065 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.065 * [taylor]: Taking taylor expansion of 2.0 in n 1.065 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.065 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.065 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.065 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.065 * [taylor]: Taking taylor expansion of 1.0 in n 1.065 * [taylor]: Taking taylor expansion of (log n) in n 1.065 * [taylor]: Taking taylor expansion of n in n 1.065 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.065 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.065 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.065 * [taylor]: Taking taylor expansion of 1.0 in n 1.065 * [taylor]: Taking taylor expansion of (log PI) in n 1.065 * [taylor]: Taking taylor expansion of PI in n 1.066 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.066 * [taylor]: Taking taylor expansion of NAN in n 1.066 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (pow (log (* 2.0 (* n PI))) 2)))) in n 1.066 * [taylor]: Taking taylor expansion of 0.125 in n 1.066 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (pow (log (* 2.0 (* n PI))) 2))) in n 1.066 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 1.066 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 1.066 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 1.066 * [taylor]: Taking taylor expansion of 0.5 in n 1.066 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 1.066 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 1.066 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.066 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.066 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.066 * [taylor]: Taking taylor expansion of 1.0 in n 1.066 * [taylor]: Taking taylor expansion of (log PI) in n 1.066 * [taylor]: Taking taylor expansion of PI in n 1.066 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 1.066 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.066 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.066 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.066 * [taylor]: Taking taylor expansion of 1.0 in n 1.066 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.066 * [taylor]: Taking taylor expansion of 2.0 in n 1.066 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.066 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.066 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.066 * [taylor]: Taking taylor expansion of 1.0 in n 1.066 * [taylor]: Taking taylor expansion of (log n) in n 1.066 * [taylor]: Taking taylor expansion of n in n 1.067 * [taylor]: Taking taylor expansion of (* NAN (pow (log (* 2.0 (* n PI))) 2)) in n 1.067 * [taylor]: Taking taylor expansion of NAN in n 1.067 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 1.067 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.067 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.067 * [taylor]: Taking taylor expansion of 2.0 in n 1.067 * [taylor]: Taking taylor expansion of (* n PI) in n 1.067 * [taylor]: Taking taylor expansion of n in n 1.067 * [taylor]: Taking taylor expansion of PI in n 1.068 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (pow NAN 3) (log (* 2.0 (* n PI)))))) in n 1.068 * [taylor]: Taking taylor expansion of 0.5 in n 1.068 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (pow NAN 3) (log (* 2.0 (* n PI))))) in n 1.068 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 1.068 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 1.068 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 1.068 * [taylor]: Taking taylor expansion of 0.5 in n 1.068 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 1.068 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 1.068 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.068 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.068 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.068 * [taylor]: Taking taylor expansion of 1.0 in n 1.068 * [taylor]: Taking taylor expansion of (log PI) in n 1.068 * [taylor]: Taking taylor expansion of PI in n 1.068 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 1.068 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.068 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.068 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.068 * [taylor]: Taking taylor expansion of 1.0 in n 1.068 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.068 * [taylor]: Taking taylor expansion of 2.0 in n 1.068 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.068 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.068 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.068 * [taylor]: Taking taylor expansion of 1.0 in n 1.068 * [taylor]: Taking taylor expansion of (log n) in n 1.068 * [taylor]: Taking taylor expansion of n in n 1.069 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (log (* 2.0 (* n PI)))) in n 1.069 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.069 * [taylor]: Taking taylor expansion of NAN in n 1.069 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.069 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.069 * [taylor]: Taking taylor expansion of 2.0 in n 1.069 * [taylor]: Taking taylor expansion of (* n PI) in n 1.069 * [taylor]: Taking taylor expansion of n in n 1.069 * [taylor]: Taking taylor expansion of PI in n 1.084 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 1.084 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.084 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.084 * [taylor]: Taking taylor expansion of k in n 1.084 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.084 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.084 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.084 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.084 * [taylor]: Taking taylor expansion of 0.5 in n 1.084 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.084 * [taylor]: Taking taylor expansion of 1.0 in n 1.084 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.084 * [taylor]: Taking taylor expansion of k in n 1.084 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.084 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.084 * [taylor]: Taking taylor expansion of 2.0 in n 1.084 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.084 * [taylor]: Taking taylor expansion of PI in n 1.084 * [taylor]: Taking taylor expansion of n in n 1.085 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.085 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.085 * [taylor]: Taking taylor expansion of k in k 1.085 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.085 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.085 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.085 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.085 * [taylor]: Taking taylor expansion of 0.5 in k 1.085 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.085 * [taylor]: Taking taylor expansion of 1.0 in k 1.085 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.085 * [taylor]: Taking taylor expansion of k in k 1.085 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.085 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.085 * [taylor]: Taking taylor expansion of 2.0 in k 1.085 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.085 * [taylor]: Taking taylor expansion of PI in k 1.085 * [taylor]: Taking taylor expansion of n in k 1.085 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.085 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.085 * [taylor]: Taking taylor expansion of k in k 1.086 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.086 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.086 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.086 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.086 * [taylor]: Taking taylor expansion of 0.5 in k 1.086 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.086 * [taylor]: Taking taylor expansion of 1.0 in k 1.086 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.086 * [taylor]: Taking taylor expansion of k in k 1.086 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.086 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.086 * [taylor]: Taking taylor expansion of 2.0 in k 1.086 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.086 * [taylor]: Taking taylor expansion of PI in k 1.086 * [taylor]: Taking taylor expansion of n in k 1.086 * [taylor]: Taking taylor expansion of 0 in n 1.086 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.086 * [taylor]: Taking taylor expansion of NAN in n 1.086 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.086 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.086 * [taylor]: Taking taylor expansion of 0.5 in n 1.086 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.086 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.086 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.086 * [taylor]: Taking taylor expansion of 2.0 in n 1.086 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.086 * [taylor]: Taking taylor expansion of PI in n 1.087 * [taylor]: Taking taylor expansion of n in n 1.087 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.087 * [taylor]: Taking taylor expansion of 1.0 in n 1.087 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.087 * [taylor]: Taking taylor expansion of k in n 1.087 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.087 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.087 * [taylor]: Taking taylor expansion of NAN in n 1.088 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.088 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.088 * [taylor]: Taking taylor expansion of 0.5 in n 1.088 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.088 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.088 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.088 * [taylor]: Taking taylor expansion of 2.0 in n 1.088 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.088 * [taylor]: Taking taylor expansion of PI in n 1.088 * [taylor]: Taking taylor expansion of n in n 1.088 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.088 * [taylor]: Taking taylor expansion of 1.0 in n 1.088 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.088 * [taylor]: Taking taylor expansion of k in n 1.089 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.090 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.090 * [taylor]: Taking taylor expansion of NAN in n 1.090 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.090 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.090 * [taylor]: Taking taylor expansion of 0.5 in n 1.090 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.090 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.090 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.090 * [taylor]: Taking taylor expansion of 2.0 in n 1.090 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.090 * [taylor]: Taking taylor expansion of PI in n 1.090 * [taylor]: Taking taylor expansion of n in n 1.090 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.090 * [taylor]: Taking taylor expansion of 1.0 in n 1.090 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.090 * [taylor]: Taking taylor expansion of k in n 1.091 * [approximate]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (k n) around 0 1.091 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 1.091 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.091 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.091 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.091 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.092 * [taylor]: Taking taylor expansion of 0.5 in n 1.092 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.092 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.092 * [taylor]: Taking taylor expansion of k in n 1.092 * [taylor]: Taking taylor expansion of 1.0 in n 1.092 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.092 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.092 * [taylor]: Taking taylor expansion of -2.0 in n 1.092 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.092 * [taylor]: Taking taylor expansion of PI in n 1.092 * [taylor]: Taking taylor expansion of n in n 1.092 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.092 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.092 * [taylor]: Taking taylor expansion of -1 in n 1.092 * [taylor]: Taking taylor expansion of k in n 1.092 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.092 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.092 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.092 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.092 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.092 * [taylor]: Taking taylor expansion of 0.5 in k 1.092 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.092 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.092 * [taylor]: Taking taylor expansion of k in k 1.092 * [taylor]: Taking taylor expansion of 1.0 in k 1.092 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.093 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.093 * [taylor]: Taking taylor expansion of -2.0 in k 1.093 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.093 * [taylor]: Taking taylor expansion of PI in k 1.093 * [taylor]: Taking taylor expansion of n in k 1.093 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.093 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.093 * [taylor]: Taking taylor expansion of -1 in k 1.093 * [taylor]: Taking taylor expansion of k in k 1.093 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.093 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.093 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.093 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.093 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.093 * [taylor]: Taking taylor expansion of 0.5 in k 1.093 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.093 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.093 * [taylor]: Taking taylor expansion of k in k 1.093 * [taylor]: Taking taylor expansion of 1.0 in k 1.093 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.093 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.093 * [taylor]: Taking taylor expansion of -2.0 in k 1.093 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.093 * [taylor]: Taking taylor expansion of PI in k 1.093 * [taylor]: Taking taylor expansion of n in k 1.093 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.093 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.094 * [taylor]: Taking taylor expansion of -1 in k 1.094 * [taylor]: Taking taylor expansion of k in k 1.094 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 1.094 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.094 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.094 * [taylor]: Taking taylor expansion of 0.5 in n 1.094 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.094 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.094 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.094 * [taylor]: Taking taylor expansion of k in n 1.094 * [taylor]: Taking taylor expansion of 1.0 in n 1.094 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.094 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.094 * [taylor]: Taking taylor expansion of -2.0 in n 1.094 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.094 * [taylor]: Taking taylor expansion of PI in n 1.094 * [taylor]: Taking taylor expansion of n in n 1.094 * [taylor]: Taking taylor expansion of NAN in n 1.095 * [taylor]: Taking taylor expansion of (neg (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 1.095 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 1.095 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.095 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.095 * [taylor]: Taking taylor expansion of 0.5 in n 1.095 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.095 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.095 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.095 * [taylor]: Taking taylor expansion of k in n 1.095 * [taylor]: Taking taylor expansion of 1.0 in n 1.095 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.095 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.095 * [taylor]: Taking taylor expansion of -2.0 in n 1.095 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.095 * [taylor]: Taking taylor expansion of PI in n 1.095 * [taylor]: Taking taylor expansion of n in n 1.095 * [taylor]: Taking taylor expansion of NAN in n 1.097 * [taylor]: Taking taylor expansion of 0 in n 1.099 * [taylor]: Taking taylor expansion of 0 in n 1.100 * * * [progress]: simplifying candidates 1.105 * [simplify]: Simplifying using # : (* PI (* 2.0 n)) (* PI (* 2.0 n)) (+ (log PI) (+ (log 2.0) (log n))) (+ (log PI) (log (* 2.0 n))) (log (* PI (* 2.0 n))) (exp (* PI (* 2.0 n))) (* (* (* PI PI) PI) (* (* (* 2.0 2.0) 2.0) (* (* n n) n))) (* (* (* PI PI) PI) (* (* (* 2.0 n) (* 2.0 n)) (* 2.0 n))) (* (cbrt (* PI (* 2.0 n))) (cbrt (* PI (* 2.0 n)))) (cbrt (* PI (* 2.0 n))) (* (* (* PI (* 2.0 n)) (* PI (* 2.0 n))) (* PI (* 2.0 n))) (sqrt (* PI (* 2.0 n))) (sqrt (* PI (* 2.0 n))) (* PI 2.0) (* (cbrt PI) (* 2.0 n)) (* (sqrt PI) (* 2.0 n)) (* PI (* 2.0 n)) (- (log (sqrt k)) (* (+ (log PI) (+ (log 2.0) (log n))) (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (* (+ (log PI) (log (* 2.0 n))) (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (log (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (log (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (exp (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (* (cbrt (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (cbrt (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))))) (cbrt (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (* (* (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ 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(log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* 2.0 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 (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)) (pow (* PI (* 2.0 n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* PI (* 2.0 n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* PI (* 2.0 n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* PI (* 2.0 n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* PI (* 2.0 n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* PI (* 2.0 n)) (/ (sqrt (- 1.0 k)) 1)) (pow (* PI (* 2.0 n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ 1 (sqrt 2.0))) (pow (* PI (* 2.0 n)) (/ 1 1)) (pow (* PI (* 2.0 n)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ (+ (sqrt 1.0) 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2.0 n)) (/ (- 1.0 k) 2.0)))) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) 1 (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) 1 (/ 1 (sqrt k)) (* (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (/ 1 (sqrt k))) (/ (sqrt k) (* (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (cbrt 1))) (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ 1 (sqrt k)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (+ (* 0.125 (* (pow k 3) (* NAN (* (pow (log n) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0)))) 0.5))))) (+ (+ (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0)))) 0.5) (* (* (pow k 3) (* (* (log n) (log (* PI 2.0))) NAN)) 0.25)) (+ (+ (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0)))) 0.5) (+ (* (pow k 3) (pow NAN 5)) (* 0.5 (* (log n) (* (pow k 3) (pow NAN 3)))))) (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0)))) 0.5) (+ (* 0.5 (* k (* k (* NAN (log (* PI 2.0)))))) (* k (* k (pow NAN 3)))))) (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0)))) 0.5) (+ (* k NAN) (* 0.5 (* (log n) (* k (* k NAN)))))))) (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0)))) 0.5) (+ (* 0.5 (* (pow k 3) (* (log (* PI 2.0)) (pow NAN 3)))) (* 0.125 (* (pow k 3) (* NAN (pow (log (* PI 2.0)) 2)))))))) (+ (/ NAN (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI 2.0)) (neg (log n)))))) (+ (/ (pow NAN 5) (* k (* k (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI 2.0)) (neg (log n)))))))) (/ (pow NAN 3) (* k (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI 2.0)) (neg (log n))))))))) (+ (/ (pow NAN 5) (* k (* k (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n)))))))) (- (/ NAN (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n)))))) (/ (pow NAN 3) (* k (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))))))) (+ (* (* 0.125 (* k k)) (+ (* (pow (log (* PI 2.0)) 2) (pow (* PI (* 2.0 n)) 0.5)) (* (pow (log n) 2) (pow (* PI (* 2.0 n)) 0.5)))) (- (+ (pow (* PI (* 2.0 n)) 0.5) (* 0.25 (* k (* k (* (log n) (* (log (* PI 2.0)) (pow (* PI (* 2.0 n)) 0.5))))))) (* 0.5 (* k (+ (* (log (* PI 2.0)) (pow (* PI (* 2.0 n)) 0.5)) (* (log n) (pow (* PI (* 2.0 n)) 0.5))))))) (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI 2.0)) (neg (log n))))) (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))) (+ (* 0.125 (* k (* k (* NAN (* (pow (log (* PI 2.0)) 2) (pow (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0))) 0.5)))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0))) 0.5) (+ (* k (pow NAN 3)) (* 0.125 (* k (* k (* NAN (pow (log n) 2))))))) (- (+ (* 0.25 (* NAN (* (pow (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0))) 0.5) (* (log n) (* k (* k (log (* PI 2.0)))))))) (* (pow (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0))) 0.5) (+ (* k (* k (pow NAN 5))) NAN))) (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0))) 0.5) (+ (* (log n) (* k (* k (pow NAN 3)))) (* (log n) (* k NAN))))) (* (pow (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* NAN (log (* PI 2.0))))) (* 0.5 (* k (* k (* (log (* PI 2.0)) (pow NAN 3))))))))))) (+ (* (/ (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI 2.0)) (neg (log n))))) k) NAN) (+ (* (/ (pow NAN 3) k) (/ (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI 2.0)) (neg (log n))))) k)) (* (/ (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI 2.0)) (neg (log n))))) (pow k 3)) (pow NAN 5)))) (+ (/ (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))) NAN) (* (/ NAN k) (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))))) 1.175 * * * [progress]: adding candidates to table 1.624 * * [progress]: iteration 3 / 4 1.624 * * * [progress]: picking best candidate 1.649 * * * * [pick]: Picked # 1.649 * * * [progress]: localizing error 1.665 * * * [progress]: generating rewritten candidates 1.665 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2) 1.671 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 1) 1.676 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.687 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.704 * * * [progress]: generating series expansions 1.704 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2) 1.705 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 1.705 * [taylor]: Taking taylor expansion of (* n PI) in n 1.705 * [taylor]: Taking taylor expansion of n in n 1.705 * [taylor]: Taking taylor expansion of PI in n 1.705 * [taylor]: Taking taylor expansion of (* n PI) in n 1.705 * [taylor]: Taking taylor expansion of n in n 1.705 * [taylor]: Taking taylor expansion of PI in n 1.705 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 1.705 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.705 * [taylor]: Taking taylor expansion of PI in n 1.705 * [taylor]: Taking taylor expansion of n in n 1.705 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.705 * [taylor]: Taking taylor expansion of PI in n 1.705 * [taylor]: Taking taylor expansion of n in n 1.706 * [approximate]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in (n) around 0 1.706 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.706 * [taylor]: Taking taylor expansion of PI in n 1.706 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.706 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.706 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.706 * [taylor]: Taking taylor expansion of -1 in n 1.706 * [taylor]: Taking taylor expansion of n in n 1.706 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.706 * [taylor]: Taking taylor expansion of PI in n 1.706 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.706 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.706 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.706 * [taylor]: Taking taylor expansion of -1 in n 1.706 * [taylor]: Taking taylor expansion of n in n 1.708 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 1) 1.708 * [approximate]: Taking taylor expansion of (* (sqrt n) PI) in (n) around 0 1.708 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 1.708 * [taylor]: Taking taylor expansion of (sqrt n) in n 1.708 * [taylor]: Taking taylor expansion of n in n 1.708 * [taylor]: Taking taylor expansion of PI in n 1.708 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 1.708 * [taylor]: Taking taylor expansion of (sqrt n) in n 1.708 * [taylor]: Taking taylor expansion of n in n 1.708 * [taylor]: Taking taylor expansion of PI in n 1.709 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in (n) around 0 1.709 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 1.709 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 1.709 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.709 * [taylor]: Taking taylor expansion of n in n 1.709 * [taylor]: Taking taylor expansion of PI in n 1.709 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 1.709 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 1.709 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.709 * [taylor]: Taking taylor expansion of n in n 1.710 * [taylor]: Taking taylor expansion of PI in n 1.711 * [approximate]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in (n) around 0 1.711 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 1.711 * [taylor]: Taking taylor expansion of PI in n 1.711 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.711 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.711 * [taylor]: Taking taylor expansion of -1 in n 1.711 * [taylor]: Taking taylor expansion of n in n 1.711 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 1.711 * [taylor]: Taking taylor expansion of PI in n 1.711 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.711 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.711 * [taylor]: Taking taylor expansion of -1 in n 1.711 * [taylor]: Taking taylor expansion of n in n 1.712 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.712 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in (n k) around 0 1.712 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 1.712 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.712 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.712 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.712 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.712 * [taylor]: Taking taylor expansion of 0.5 in k 1.712 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.712 * [taylor]: Taking taylor expansion of 1.0 in k 1.712 * [taylor]: Taking taylor expansion of k in k 1.712 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.712 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.712 * [taylor]: Taking taylor expansion of 2.0 in k 1.712 * [taylor]: Taking taylor expansion of (* n PI) in k 1.712 * [taylor]: Taking taylor expansion of n in k 1.712 * [taylor]: Taking taylor expansion of PI in k 1.713 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.713 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.713 * [taylor]: Taking taylor expansion of k in k 1.713 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 1.713 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.713 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.713 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.713 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.713 * [taylor]: Taking taylor expansion of 0.5 in n 1.713 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.713 * [taylor]: Taking taylor expansion of 1.0 in n 1.713 * [taylor]: Taking taylor expansion of k in n 1.713 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.713 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.713 * [taylor]: Taking taylor expansion of 2.0 in n 1.713 * [taylor]: Taking taylor expansion of (* n PI) in n 1.713 * [taylor]: Taking taylor expansion of n in n 1.713 * [taylor]: Taking taylor expansion of PI in n 1.713 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.713 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.713 * [taylor]: Taking taylor expansion of k in n 1.713 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 1.713 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.713 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.713 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.713 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.713 * [taylor]: Taking taylor expansion of 0.5 in n 1.713 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.713 * [taylor]: Taking taylor expansion of 1.0 in n 1.713 * [taylor]: Taking taylor expansion of k in n 1.713 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.714 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.714 * [taylor]: Taking taylor expansion of 2.0 in n 1.714 * [taylor]: Taking taylor expansion of (* n PI) in n 1.714 * [taylor]: Taking taylor expansion of n in n 1.714 * [taylor]: Taking taylor expansion of PI in n 1.714 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.714 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.714 * [taylor]: Taking taylor expansion of k in n 1.714 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 1.714 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.714 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.714 * [taylor]: Taking taylor expansion of k in k 1.714 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.714 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.714 * [taylor]: Taking taylor expansion of 0.5 in k 1.714 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.714 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.714 * [taylor]: Taking taylor expansion of 1.0 in k 1.714 * [taylor]: Taking taylor expansion of k in k 1.714 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.714 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.714 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.714 * [taylor]: Taking taylor expansion of 2.0 in k 1.714 * [taylor]: Taking taylor expansion of PI in k 1.715 * [taylor]: Taking taylor expansion of (log n) in k 1.715 * [taylor]: Taking taylor expansion of n in k 1.715 * [taylor]: Taking taylor expansion of 0 in k 1.717 * [taylor]: Taking taylor expansion of 0 in k 1.720 * [taylor]: Taking taylor expansion of 0 in k 1.727 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in (n k) around 0 1.727 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.727 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.727 * [taylor]: Taking taylor expansion of k in k 1.727 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.727 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.727 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.727 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.727 * [taylor]: Taking taylor expansion of 0.5 in k 1.727 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.727 * [taylor]: Taking taylor expansion of 1.0 in k 1.727 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.727 * [taylor]: Taking taylor expansion of k in k 1.727 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.727 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.727 * [taylor]: Taking taylor expansion of 2.0 in k 1.727 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.727 * [taylor]: Taking taylor expansion of PI in k 1.727 * [taylor]: Taking taylor expansion of n in k 1.727 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.728 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.728 * [taylor]: Taking taylor expansion of k in n 1.728 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.728 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.728 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.728 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.728 * [taylor]: Taking taylor expansion of 0.5 in n 1.728 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.728 * [taylor]: Taking taylor expansion of 1.0 in n 1.728 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.728 * [taylor]: Taking taylor expansion of k in n 1.728 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.728 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.728 * [taylor]: Taking taylor expansion of 2.0 in n 1.728 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.728 * [taylor]: Taking taylor expansion of PI in n 1.728 * [taylor]: Taking taylor expansion of n in n 1.728 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.728 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.728 * [taylor]: Taking taylor expansion of k in n 1.728 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.728 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.728 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.728 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.728 * [taylor]: Taking taylor expansion of 0.5 in n 1.728 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.728 * [taylor]: Taking taylor expansion of 1.0 in n 1.728 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.728 * [taylor]: Taking taylor expansion of k in n 1.728 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.728 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.729 * [taylor]: Taking taylor expansion of 2.0 in n 1.729 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.729 * [taylor]: Taking taylor expansion of PI in n 1.729 * [taylor]: Taking taylor expansion of n in n 1.729 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 1.729 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.729 * [taylor]: Taking taylor expansion of k in k 1.729 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.729 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.729 * [taylor]: Taking taylor expansion of 0.5 in k 1.729 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.729 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.729 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.729 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.729 * [taylor]: Taking taylor expansion of 2.0 in k 1.729 * [taylor]: Taking taylor expansion of PI in k 1.729 * [taylor]: Taking taylor expansion of (log n) in k 1.729 * [taylor]: Taking taylor expansion of n in k 1.729 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.729 * [taylor]: Taking taylor expansion of 1.0 in k 1.729 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.729 * [taylor]: Taking taylor expansion of k in k 1.730 * [taylor]: Taking taylor expansion of 0 in k 1.732 * [taylor]: Taking taylor expansion of 0 in k 1.733 * [taylor]: Taking taylor expansion of 0 in k 1.735 * [approximate]: Taking taylor expansion of (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (n k) around 0 1.735 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.735 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.735 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in k 1.735 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in k 1.735 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.735 * [taylor]: Taking taylor expansion of 0.5 in k 1.735 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.735 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.735 * [taylor]: Taking taylor expansion of k in k 1.735 * [taylor]: Taking taylor expansion of 1.0 in k 1.735 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in k 1.735 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in k 1.735 * [taylor]: Taking taylor expansion of 2.0 in k 1.735 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in k 1.735 * [taylor]: Taking taylor expansion of PI in k 1.735 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in k 1.735 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 1.735 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.735 * [taylor]: Taking taylor expansion of -1 in k 1.735 * [taylor]: Taking taylor expansion of n in k 1.736 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.736 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.736 * [taylor]: Taking taylor expansion of -1 in k 1.736 * [taylor]: Taking taylor expansion of k in k 1.736 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 1.736 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.736 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 1.736 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 1.736 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.736 * [taylor]: Taking taylor expansion of 0.5 in n 1.736 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.736 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.736 * [taylor]: Taking taylor expansion of k in n 1.736 * [taylor]: Taking taylor expansion of 1.0 in n 1.736 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 1.736 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 1.736 * [taylor]: Taking taylor expansion of 2.0 in n 1.736 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.736 * [taylor]: Taking taylor expansion of PI in n 1.736 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.736 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.736 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.736 * [taylor]: Taking taylor expansion of -1 in n 1.736 * [taylor]: Taking taylor expansion of n in n 1.737 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.737 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.737 * [taylor]: Taking taylor expansion of -1 in n 1.737 * [taylor]: Taking taylor expansion of k in n 1.737 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 1.737 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.737 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 1.737 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 1.737 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.737 * [taylor]: Taking taylor expansion of 0.5 in n 1.737 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.738 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.738 * [taylor]: Taking taylor expansion of k in n 1.738 * [taylor]: Taking taylor expansion of 1.0 in n 1.738 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 1.738 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 1.738 * [taylor]: Taking taylor expansion of 2.0 in n 1.738 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.738 * [taylor]: Taking taylor expansion of PI in n 1.738 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.738 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.738 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.738 * [taylor]: Taking taylor expansion of -1 in n 1.738 * [taylor]: Taking taylor expansion of n in n 1.738 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.739 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.739 * [taylor]: Taking taylor expansion of -1 in n 1.739 * [taylor]: Taking taylor expansion of k in n 1.739 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) (sqrt (/ -1 k))) in k 1.739 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) in k 1.739 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI))))) in k 1.739 * [taylor]: Taking taylor expansion of 0.5 in k 1.739 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))) in k 1.739 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.739 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.739 * [taylor]: Taking taylor expansion of k in k 1.739 * [taylor]: Taking taylor expansion of 1.0 in k 1.739 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (pow NAN 2) PI))) in k 1.739 * [taylor]: Taking taylor expansion of (* 2.0 (* (pow NAN 2) PI)) in k 1.739 * [taylor]: Taking taylor expansion of 2.0 in k 1.739 * [taylor]: Taking taylor expansion of (* (pow NAN 2) PI) in k 1.739 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 1.739 * [taylor]: Taking taylor expansion of NAN in k 1.739 * [taylor]: Taking taylor expansion of PI in k 1.740 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.740 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.740 * [taylor]: Taking taylor expansion of -1 in k 1.740 * [taylor]: Taking taylor expansion of k in k 1.742 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 2)) (sqrt (/ -1 k)))) (* 1.0 (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 2)) (* k (sqrt (/ -1 k)))))) in k 1.742 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 2)) (sqrt (/ -1 k)))) in k 1.742 * [taylor]: Taking taylor expansion of 1.0 in k 1.742 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 2)) (sqrt (/ -1 k))) in k 1.742 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 2)) in k 1.742 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) in k 1.742 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI))))) in k 1.742 * [taylor]: Taking taylor expansion of 0.5 in k 1.742 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))) in k 1.742 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.742 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.742 * [taylor]: Taking taylor expansion of k in k 1.742 * [taylor]: Taking taylor expansion of 1.0 in k 1.742 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (pow NAN 2) PI))) in k 1.742 * [taylor]: Taking taylor expansion of (* 2.0 (* (pow NAN 2) PI)) in k 1.742 * [taylor]: Taking taylor expansion of 2.0 in k 1.742 * [taylor]: Taking taylor expansion of (* (pow NAN 2) PI) in k 1.742 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 1.742 * [taylor]: Taking taylor expansion of NAN in k 1.742 * [taylor]: Taking taylor expansion of PI in k 1.743 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 1.743 * [taylor]: Taking taylor expansion of NAN in k 1.743 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.743 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.743 * [taylor]: Taking taylor expansion of -1 in k 1.743 * [taylor]: Taking taylor expansion of k in k 1.743 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 2)) (* k (sqrt (/ -1 k))))) in k 1.743 * [taylor]: Taking taylor expansion of 1.0 in k 1.743 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 2)) (* k (sqrt (/ -1 k)))) in k 1.743 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 2)) in k 1.743 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) in k 1.743 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI))))) in k 1.743 * [taylor]: Taking taylor expansion of 0.5 in k 1.743 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))) in k 1.743 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.743 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.743 * [taylor]: Taking taylor expansion of k in k 1.743 * [taylor]: Taking taylor expansion of 1.0 in k 1.743 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (pow NAN 2) PI))) in k 1.743 * [taylor]: Taking taylor expansion of (* 2.0 (* (pow NAN 2) PI)) in k 1.743 * [taylor]: Taking taylor expansion of 2.0 in k 1.743 * [taylor]: Taking taylor expansion of (* (pow NAN 2) PI) in k 1.744 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 1.744 * [taylor]: Taking taylor expansion of NAN in k 1.744 * [taylor]: Taking taylor expansion of PI in k 1.744 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 1.744 * [taylor]: Taking taylor expansion of NAN in k 1.744 * [taylor]: Taking taylor expansion of (* k (sqrt (/ -1 k))) in k 1.744 * [taylor]: Taking taylor expansion of k in k 1.744 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.744 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.744 * [taylor]: Taking taylor expansion of -1 in k 1.744 * [taylor]: Taking taylor expansion of k in k 1.748 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.748 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.748 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.748 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.748 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.748 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.748 * [taylor]: Taking taylor expansion of 0.5 in k 1.748 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.748 * [taylor]: Taking taylor expansion of 1.0 in k 1.748 * [taylor]: Taking taylor expansion of k in k 1.748 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.748 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.748 * [taylor]: Taking taylor expansion of 2.0 in k 1.748 * [taylor]: Taking taylor expansion of (* n PI) in k 1.748 * [taylor]: Taking taylor expansion of n in k 1.748 * [taylor]: Taking taylor expansion of PI in k 1.749 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.749 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.749 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.749 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.749 * [taylor]: Taking taylor expansion of 0.5 in n 1.749 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.749 * [taylor]: Taking taylor expansion of 1.0 in n 1.749 * [taylor]: Taking taylor expansion of k in n 1.749 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.749 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.749 * [taylor]: Taking taylor expansion of 2.0 in n 1.749 * [taylor]: Taking taylor expansion of (* n PI) in n 1.749 * [taylor]: Taking taylor expansion of n in n 1.749 * [taylor]: Taking taylor expansion of PI in n 1.749 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.749 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.749 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.749 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.749 * [taylor]: Taking taylor expansion of 0.5 in n 1.749 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.749 * [taylor]: Taking taylor expansion of 1.0 in n 1.749 * [taylor]: Taking taylor expansion of k in n 1.749 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.749 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.749 * [taylor]: Taking taylor expansion of 2.0 in n 1.749 * [taylor]: Taking taylor expansion of (* n PI) in n 1.749 * [taylor]: Taking taylor expansion of n in n 1.749 * [taylor]: Taking taylor expansion of PI in n 1.750 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.750 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.750 * [taylor]: Taking taylor expansion of 0.5 in k 1.750 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.750 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.750 * [taylor]: Taking taylor expansion of 1.0 in k 1.750 * [taylor]: Taking taylor expansion of k in k 1.750 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.750 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.750 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.750 * [taylor]: Taking taylor expansion of 2.0 in k 1.750 * [taylor]: Taking taylor expansion of PI in k 1.750 * [taylor]: Taking taylor expansion of (log n) in k 1.750 * [taylor]: Taking taylor expansion of n in k 1.751 * [taylor]: Taking taylor expansion of 0 in k 1.752 * [taylor]: Taking taylor expansion of 0 in k 1.754 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.754 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.754 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.754 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.754 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.754 * [taylor]: Taking taylor expansion of 0.5 in k 1.754 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.754 * [taylor]: Taking taylor expansion of 1.0 in k 1.754 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.754 * [taylor]: Taking taylor expansion of k in k 1.754 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.754 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.754 * [taylor]: Taking taylor expansion of 2.0 in k 1.754 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.754 * [taylor]: Taking taylor expansion of PI in k 1.754 * [taylor]: Taking taylor expansion of n in k 1.755 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.755 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.755 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.755 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.755 * [taylor]: Taking taylor expansion of 0.5 in n 1.755 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.755 * [taylor]: Taking taylor expansion of 1.0 in n 1.755 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.755 * [taylor]: Taking taylor expansion of k in n 1.755 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.755 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.755 * [taylor]: Taking taylor expansion of 2.0 in n 1.755 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.755 * [taylor]: Taking taylor expansion of PI in n 1.755 * [taylor]: Taking taylor expansion of n in n 1.755 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.755 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.755 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.755 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.755 * [taylor]: Taking taylor expansion of 0.5 in n 1.755 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.755 * [taylor]: Taking taylor expansion of 1.0 in n 1.755 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.755 * [taylor]: Taking taylor expansion of k in n 1.756 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.756 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.756 * [taylor]: Taking taylor expansion of 2.0 in n 1.756 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.756 * [taylor]: Taking taylor expansion of PI in n 1.756 * [taylor]: Taking taylor expansion of n in n 1.756 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.756 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.756 * [taylor]: Taking taylor expansion of 0.5 in k 1.756 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.756 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.756 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.756 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.756 * [taylor]: Taking taylor expansion of 2.0 in k 1.756 * [taylor]: Taking taylor expansion of PI in k 1.756 * [taylor]: Taking taylor expansion of (log n) in k 1.756 * [taylor]: Taking taylor expansion of n in k 1.756 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.756 * [taylor]: Taking taylor expansion of 1.0 in k 1.756 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.756 * [taylor]: Taking taylor expansion of k in k 1.757 * [taylor]: Taking taylor expansion of 0 in k 1.758 * [taylor]: Taking taylor expansion of 0 in k 1.759 * [taylor]: Taking taylor expansion of 0 in k 1.759 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.759 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.759 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in k 1.759 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in k 1.759 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.759 * [taylor]: Taking taylor expansion of 0.5 in k 1.759 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.759 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.759 * [taylor]: Taking taylor expansion of k in k 1.759 * [taylor]: Taking taylor expansion of 1.0 in k 1.759 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in k 1.759 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in k 1.759 * [taylor]: Taking taylor expansion of 2.0 in k 1.759 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in k 1.759 * [taylor]: Taking taylor expansion of PI in k 1.759 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in k 1.759 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 1.760 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.760 * [taylor]: Taking taylor expansion of -1 in k 1.760 * [taylor]: Taking taylor expansion of n in k 1.760 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.760 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 1.760 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 1.760 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.760 * [taylor]: Taking taylor expansion of 0.5 in n 1.760 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.760 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.760 * [taylor]: Taking taylor expansion of k in n 1.760 * [taylor]: Taking taylor expansion of 1.0 in n 1.760 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 1.760 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 1.760 * [taylor]: Taking taylor expansion of 2.0 in n 1.760 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.760 * [taylor]: Taking taylor expansion of PI in n 1.760 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.760 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.760 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.761 * [taylor]: Taking taylor expansion of -1 in n 1.761 * [taylor]: Taking taylor expansion of n in n 1.761 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.761 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 1.761 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 1.761 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.761 * [taylor]: Taking taylor expansion of 0.5 in n 1.761 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.761 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.761 * [taylor]: Taking taylor expansion of k in n 1.761 * [taylor]: Taking taylor expansion of 1.0 in n 1.761 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 1.761 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 1.761 * [taylor]: Taking taylor expansion of 2.0 in n 1.761 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.761 * [taylor]: Taking taylor expansion of PI in n 1.761 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.761 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.761 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.761 * [taylor]: Taking taylor expansion of -1 in n 1.761 * [taylor]: Taking taylor expansion of n in n 1.762 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) in k 1.762 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI))))) in k 1.762 * [taylor]: Taking taylor expansion of 0.5 in k 1.762 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))) in k 1.762 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.762 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.762 * [taylor]: Taking taylor expansion of k in k 1.762 * [taylor]: Taking taylor expansion of 1.0 in k 1.762 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (pow NAN 2) PI))) in k 1.762 * [taylor]: Taking taylor expansion of (* 2.0 (* (pow NAN 2) PI)) in k 1.762 * [taylor]: Taking taylor expansion of 2.0 in k 1.762 * [taylor]: Taking taylor expansion of (* (pow NAN 2) PI) in k 1.762 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 1.762 * [taylor]: Taking taylor expansion of NAN in k 1.762 * [taylor]: Taking taylor expansion of PI in k 1.764 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) (+ (* 1.0 (pow NAN 2)) (* 1.0 (/ (pow NAN 2) k)))) in k 1.764 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) in k 1.764 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI))))) in k 1.764 * [taylor]: Taking taylor expansion of 0.5 in k 1.764 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))) in k 1.764 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.764 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.764 * [taylor]: Taking taylor expansion of k in k 1.764 * [taylor]: Taking taylor expansion of 1.0 in k 1.764 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (pow NAN 2) PI))) in k 1.764 * [taylor]: Taking taylor expansion of (* 2.0 (* (pow NAN 2) PI)) in k 1.764 * [taylor]: Taking taylor expansion of 2.0 in k 1.764 * [taylor]: Taking taylor expansion of (* (pow NAN 2) PI) in k 1.764 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 1.764 * [taylor]: Taking taylor expansion of NAN in k 1.764 * [taylor]: Taking taylor expansion of PI in k 1.765 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow NAN 2)) (* 1.0 (/ (pow NAN 2) k))) in k 1.765 * [taylor]: Taking taylor expansion of (* 1.0 (pow NAN 2)) in k 1.765 * [taylor]: Taking taylor expansion of 1.0 in k 1.765 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 1.765 * [taylor]: Taking taylor expansion of NAN in k 1.765 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow NAN 2) k)) in k 1.765 * [taylor]: Taking taylor expansion of 1.0 in k 1.765 * [taylor]: Taking taylor expansion of (/ (pow NAN 2) k) in k 1.765 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 1.765 * [taylor]: Taking taylor expansion of NAN in k 1.765 * [taylor]: Taking taylor expansion of k in k 1.769 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) (- (+ (* 0.5 (/ (pow NAN 4) (pow k 2))) (+ (* 2.5 (/ (pow NAN 4) k)) (* 2.0 (pow NAN 4)))) (+ (* 4.0 (/ (pow NAN 4) (pow 2.0 2))) (* 4.0 (/ (pow NAN 4) (* k (pow 2.0 2))))))) in k 1.769 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) in k 1.769 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI))))) in k 1.769 * [taylor]: Taking taylor expansion of 0.5 in k 1.769 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))) in k 1.769 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.769 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.769 * [taylor]: Taking taylor expansion of k in k 1.769 * [taylor]: Taking taylor expansion of 1.0 in k 1.769 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (pow NAN 2) PI))) in k 1.769 * [taylor]: Taking taylor expansion of (* 2.0 (* (pow NAN 2) PI)) in k 1.769 * [taylor]: Taking taylor expansion of 2.0 in k 1.769 * [taylor]: Taking taylor expansion of (* (pow NAN 2) PI) in k 1.769 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 1.769 * [taylor]: Taking taylor expansion of NAN in k 1.769 * [taylor]: Taking taylor expansion of PI in k 1.769 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (/ (pow NAN 4) (pow k 2))) (+ (* 2.5 (/ (pow NAN 4) k)) (* 2.0 (pow NAN 4)))) (+ (* 4.0 (/ (pow NAN 4) (pow 2.0 2))) (* 4.0 (/ (pow NAN 4) (* k (pow 2.0 2)))))) in k 1.769 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (pow NAN 4) (pow k 2))) (+ (* 2.5 (/ (pow NAN 4) k)) (* 2.0 (pow NAN 4)))) in k 1.769 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow NAN 4) (pow k 2))) in k 1.769 * [taylor]: Taking taylor expansion of 0.5 in k 1.769 * [taylor]: Taking taylor expansion of (/ (pow NAN 4) (pow k 2)) in k 1.769 * [taylor]: Taking taylor expansion of (pow NAN 4) in k 1.770 * [taylor]: Taking taylor expansion of NAN in k 1.770 * [taylor]: Taking taylor expansion of (pow k 2) in k 1.770 * [taylor]: Taking taylor expansion of k in k 1.772 * [taylor]: Taking taylor expansion of (+ (* 2.5 (/ (pow NAN 4) k)) (* 2.0 (pow NAN 4))) in k 1.772 * [taylor]: Taking taylor expansion of (* 2.5 (/ (pow NAN 4) k)) in k 1.772 * [taylor]: Taking taylor expansion of 2.5 in k 1.772 * [taylor]: Taking taylor expansion of (/ (pow NAN 4) k) in k 1.772 * [taylor]: Taking taylor expansion of (pow NAN 4) in k 1.772 * [taylor]: Taking taylor expansion of NAN in k 1.772 * [taylor]: Taking taylor expansion of k in k 1.773 * [taylor]: Taking taylor expansion of (* 2.0 (pow NAN 4)) in k 1.773 * [taylor]: Taking taylor expansion of 2.0 in k 1.773 * [taylor]: Taking taylor expansion of (pow NAN 4) in k 1.773 * [taylor]: Taking taylor expansion of NAN in k 1.773 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (pow NAN 4) (pow 2.0 2))) (* 4.0 (/ (pow NAN 4) (* k (pow 2.0 2))))) in k 1.773 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow NAN 4) (pow 2.0 2))) in k 1.773 * [taylor]: Taking taylor expansion of 4.0 in k 1.773 * [taylor]: Taking taylor expansion of (/ (pow NAN 4) (pow 2.0 2)) in k 1.773 * [taylor]: Taking taylor expansion of (pow NAN 4) in k 1.773 * [taylor]: Taking taylor expansion of NAN in k 1.773 * [taylor]: Taking taylor expansion of (pow 2.0 2) in k 1.773 * [taylor]: Taking taylor expansion of 2.0 in k 1.773 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow NAN 4) (* k (pow 2.0 2)))) in k 1.773 * [taylor]: Taking taylor expansion of 4.0 in k 1.773 * [taylor]: Taking taylor expansion of (/ (pow NAN 4) (* k (pow 2.0 2))) in k 1.773 * [taylor]: Taking taylor expansion of (pow NAN 4) in k 1.773 * [taylor]: Taking taylor expansion of NAN in k 1.773 * [taylor]: Taking taylor expansion of (* k (pow 2.0 2)) in k 1.773 * [taylor]: Taking taylor expansion of k in k 1.773 * [taylor]: Taking taylor expansion of (pow 2.0 2) in k 1.773 * [taylor]: Taking taylor expansion of 2.0 in k 1.777 * * * [progress]: simplifying candidates 1.779 * [simplify]: Simplifying using # : (* (* PI (sqrt n)) (sqrt n)) (* (* PI (sqrt n)) (sqrt n)) (+ (+ (log PI) (log (sqrt n))) (log (sqrt n))) (+ (log (* PI (sqrt n))) (log (sqrt n))) (log (* (* PI (sqrt n)) (sqrt n))) (exp (* (* PI (sqrt n)) (sqrt n))) (* (* (* (* PI PI) PI) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* PI (sqrt n)) (* PI (sqrt n))) (* PI (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* PI (sqrt n)) (sqrt n))) (cbrt (* (* PI (sqrt n)) (sqrt n)))) (cbrt (* (* PI (sqrt n)) (sqrt n))) (* (* (* (* PI (sqrt n)) (sqrt n)) (* (* PI (sqrt n)) (sqrt n))) (* (* PI (sqrt n)) (sqrt n))) (sqrt (* (* PI (sqrt n)) (sqrt n))) (sqrt (* (* PI (sqrt n)) (sqrt n))) (* (* PI (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* PI (sqrt n)) (sqrt (* (cbrt n) (cbrt n)))) (* (* PI (sqrt n)) (sqrt (sqrt n))) (* (* PI (sqrt n)) (sqrt 1)) (* (* PI (sqrt n)) (sqrt (sqrt n))) (* (* PI (sqrt n)) 1) (* (sqrt n) (sqrt n)) (* PI (sqrt n)) (+ (log PI) (log (sqrt n))) (log (* PI (sqrt n))) (exp (* PI (sqrt n))) (* (* (* PI PI) PI) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* PI (sqrt n))) (cbrt (* PI (sqrt n)))) (cbrt (* PI (sqrt n))) (* (* (* PI (sqrt n)) (* PI (sqrt n))) (* PI (sqrt n))) (sqrt (* PI (sqrt n))) (sqrt (* PI (sqrt n))) (* (sqrt PI) (sqrt (sqrt n))) (* (sqrt PI) (sqrt (sqrt n))) (* (sqrt PI) (sqrt (sqrt n))) (* (sqrt PI) (sqrt (sqrt n))) (* PI (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* PI (sqrt (* (cbrt n) (cbrt n)))) (* PI (sqrt (sqrt n))) (* PI (sqrt 1)) (* PI (sqrt (sqrt n))) (* PI 1) (* (cbrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (sqrt n)) (- (* (+ (log 2.0) (+ (+ (log PI) (log (sqrt n))) (log (sqrt n)))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (+ (log 2.0) (+ (log (* PI (sqrt n))) (log (sqrt n)))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (+ (log 2.0) (log (* (* PI (sqrt n)) (sqrt n)))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (log (* 2.0 (* (* PI (sqrt n)) (sqrt n)))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (log (* 2.0 (* (* PI (sqrt n)) (sqrt n)))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (log (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (log (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt k))) (exp (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt k))) (/ (* (* (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt k))) (cbrt (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt k)))) (cbrt (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (* (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt k))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt k))) (neg (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (neg (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* PI (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* (* PI (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt 1)) (/ (pow (* (* PI (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* (* PI (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) 1) (/ (pow (* (* PI (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (* (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)))) (sqrt 1)) (/ (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)))) 1) (/ (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt 1)) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) 1) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 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(/ (- 1.0 k) 2.0) 2)) (* n PI) (* n PI) (- (+ (* (pow NAN 2) PI) (* 3 (/ (* (pow NAN 6) PI) (pow n 2)))) (* 2 (/ (* (pow NAN 4) PI) n))) (+ (* (pow NAN 3) (* (pow n 2) PI)) (+ (* NAN (* n PI)) (* (pow NAN 5) (* (pow n 3) PI)))) (+ (/ (* (pow NAN 5) PI) (pow n 2)) (+ (/ (* (pow NAN 3) PI) n) (* NAN PI))) (- (+ (/ (* (pow NAN 5) PI) (pow n 2)) (* NAN PI)) (/ (* (pow NAN 3) PI) n)) (- (+ (* 0.125 (* (pow k 2) (* NAN (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))) (+ (* k (* (pow NAN 3) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (* NAN (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) (+ (* (pow k 2) (* (pow NAN 5) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (+ (* NAN (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* NAN (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))))) (+ (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow NAN 3) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) (+ (* 0.5 (* k (* NAN (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (* NAN (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2)) (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 3)))) (- (+ (* 1.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 3)) n)) (+ (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) NAN) k) (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) NAN))) (* 1.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) NAN) n))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (- (+ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) (* 1.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 4)) (pow n 2)))) (* 1.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 2)) n))) 1.836 * * [simplify]: iteration 0 : 4968 enodes (cost 2508 ) 1.837 * * [simplify]: iteration 1 : 4968 enodes (cost 2508 ) 1.845 * [simplify]: Simplified to: (* PI n) (* PI n) (log (* PI n)) (log (* PI n)) (log (* PI n)) (pow (exp PI) n) (pow (* PI n) 3) (pow (* PI n) 3) (* (cbrt (* PI n)) (cbrt (* PI n))) 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(pow (* PI (* n 2.0)) (/ (- 1.0 k) (* 2.0 2))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) (* 2.0 2))) (sqrt (sqrt k))) (pow (* PI (* n 2.0)) (/ (- 1.0 k) (* 2.0 2))) (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) (* 2.0 2))) (sqrt k)) (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) (* 2.0 2))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) (* 2.0 2))) (sqrt (sqrt k))) (pow (* PI (* n 2.0)) (/ (- 1.0 k) (* 2.0 2))) (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) (* 2.0 2))) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* PI (* n 2.0)) (/ (- 1.0 k) (* 2.0 2)))) (* (sqrt k) (pow (* PI (* n 2.0)) (/ k 2.0))) (* (log (* PI (* n 2.0))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* n 2.0))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* n 2.0))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* n 2.0))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* n 2.0))) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* PI (* n 2.0)) (/ 1.0 2.0)) (pow (* PI (* n 2.0)) (/ k 2.0)) (pow (* PI (* n 2.0)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* PI (* n 2.0)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* PI (* n 2.0)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* PI (* n 2.0)) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (cbrt (- 1.0 k)))) (pow (* PI (* n 2.0)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* PI (* n 2.0)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* n 2.0)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* PI (* n 2.0)) (sqrt (- 1.0 k))) (pow (* PI (* n 2.0)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* n 2.0)) (/ 1 (sqrt 2.0))) (* PI (* n 2.0)) (pow (* PI (* n 2.0)) (/ (+ (sqrt k) (sqrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* n 2.0)) (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2.0))) (pow (* PI (* n 2.0)) (+ (sqrt k) (sqrt 1.0))) (pow (* PI (* n 2.0)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* n 2.0)) (/ 1 (sqrt 2.0))) (* PI (* n 2.0)) (* PI (* n 2.0)) (pow (* PI (* n 2.0)) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0)) (* (log (* PI (* n 2.0))) (/ (- 1.0 k) 2.0)) (exp (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (pow (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (pow (* PI (* n 2.0)) (/ (- 1.0 k) (* 2.0 2))) (pow (* PI (* n 2.0)) (/ (- 1.0 k) (* 2.0 2))) (* PI n) (* PI n) (+ (* PI (* NAN NAN)) (- (* 3 (* (/ PI n) (/ (pow NAN 6) n))) (* 2 (* (/ (pow NAN 4) n) PI)))) (* PI (+ (* (pow NAN 5) (pow n 3)) (* n (+ (* (pow NAN 3) n) NAN)))) (+ (* (/ PI n) (/ (pow NAN 5) n)) (* PI (+ (/ (pow NAN 3) n) NAN))) (- (* PI (+ (/ (pow NAN 5) (* n n)) NAN)) (* (/ (pow NAN 3) n) PI)) (+ (* 0.125 (* k (* k (* NAN (* (pow (* PI (* n 2.0)) 0.5) (pow (log n) 2)))))) (+ (* (pow (* PI (* n 2.0)) 0.5) (+ (* k (pow NAN 3)) (* (* 0.125 (* k k)) (* NAN (pow (log (* PI 2.0)) 2))))) (- (+ (* (* k k) (* (* NAN (* (log (* PI 2.0)) (* (log n) (pow (* PI (* n 2.0)) 0.5)))) 0.25)) (* (pow (* PI (* n 2.0)) 0.5) (+ (* k (* k (pow NAN 5))) NAN))) (+ (* 0.5 (* k (* NAN (* (pow (* PI (* n 2.0)) 0.5) (log (* PI (* n 2.0))))))) (* (* (* (* k k) 0.5) (* (pow NAN 3) (pow (* PI (* n 2.0)) 0.5))) (log (* PI (* n 2.0)))))))) (+ (* (/ (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI 2.0)) (neg (log n))))) k) NAN) (* (/ (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI 2.0)) (neg (log n))))) (* k k)) (+ (pow NAN 3) (/ (pow NAN 5) k)))) (+ (+ (* (/ (pow (* PI (* 2.0 (* NAN NAN))) (* (- 1.0 k) 0.5)) k) NAN) (/ (pow (* PI (* 2.0 (* NAN NAN))) (* (- 1.0 k) 0.5)) NAN)) (* 1.0 (- (* (/ (pow (* PI (* 2.0 (* NAN NAN))) (* (- 1.0 k) 0.5)) n) (pow NAN 3)) (* (/ (pow (* PI (* 2.0 (* NAN NAN))) (* (- 1.0 k) 0.5)) n) NAN)))) (+ (* 0.125 (* (* k k) (* (pow (* PI (* n 2.0)) 0.5) (+ (pow (log (* PI 2.0)) 2) (pow (log n) 2))))) (- (+ (pow (* PI (* n 2.0)) 0.5) (* (* k k) (* (* (log (* PI 2.0)) (* (log n) (pow (* PI (* n 2.0)) 0.5))) 0.25))) (* 0.5 (* k (* (pow (* PI (* n 2.0)) 0.5) (log (* PI (* n 2.0)))))))) (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI 2.0)) (neg (log n))))) (+ (pow (* PI (* 2.0 (* NAN NAN))) (* (- 1.0 k) 0.5)) (* 1.0 (* (/ (pow (* PI (* 2.0 (* NAN NAN))) (* (- 1.0 k) 0.5)) n) (- (/ (pow NAN 4) n) (* NAN NAN))))) 1.846 * * * [progress]: adding candidates to table 2.039 * * [progress]: iteration 4 / 4 2.039 * * * [progress]: picking best candidate 2.064 * * * * [pick]: Picked # 2.064 * * * [progress]: localizing error 2.079 * * * [progress]: generating rewritten candidates 2.079 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.095 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 2.100 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 2.104 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 2.138 * * * [progress]: generating series expansions 2.139 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.139 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in (k n) around 0 2.139 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in n 2.139 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.139 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.139 * [taylor]: Taking taylor expansion of k in n 2.139 * [taylor]: Taking taylor expansion of (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in n 2.139 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 2.139 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 2.139 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 2.139 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.139 * [taylor]: Taking taylor expansion of 0.5 in n 2.139 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.139 * [taylor]: Taking taylor expansion of 1.0 in n 2.139 * [taylor]: Taking taylor expansion of k in n 2.139 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.139 * [taylor]: Taking taylor expansion of (* n PI) in n 2.139 * [taylor]: Taking taylor expansion of n in n 2.139 * [taylor]: Taking taylor expansion of PI in n 2.140 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in n 2.140 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in n 2.140 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in n 2.140 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.140 * [taylor]: Taking taylor expansion of 0.5 in n 2.140 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.140 * [taylor]: Taking taylor expansion of 1.0 in n 2.140 * [taylor]: Taking taylor expansion of k in n 2.140 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.140 * [taylor]: Taking taylor expansion of 2.0 in n 2.140 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 2.140 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.140 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.140 * [taylor]: Taking taylor expansion of k in k 2.140 * [taylor]: Taking taylor expansion of (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 2.140 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 2.140 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 2.140 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 2.140 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.140 * [taylor]: Taking taylor expansion of 0.5 in k 2.140 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.140 * [taylor]: Taking taylor expansion of 1.0 in k 2.140 * [taylor]: Taking taylor expansion of k in k 2.140 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 2.140 * [taylor]: Taking taylor expansion of (* n PI) in k 2.140 * [taylor]: Taking taylor expansion of n in k 2.140 * [taylor]: Taking taylor expansion of PI in k 2.140 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 2.140 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 2.140 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 2.140 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.140 * [taylor]: Taking taylor expansion of 0.5 in k 2.140 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.141 * [taylor]: Taking taylor expansion of 1.0 in k 2.141 * [taylor]: Taking taylor expansion of k in k 2.141 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.141 * [taylor]: Taking taylor expansion of 2.0 in k 2.141 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 2.141 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.141 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.141 * [taylor]: Taking taylor expansion of k in k 2.141 * [taylor]: Taking taylor expansion of (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 2.141 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 2.141 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 2.141 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 2.141 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.141 * [taylor]: Taking taylor expansion of 0.5 in k 2.141 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.141 * [taylor]: Taking taylor expansion of 1.0 in k 2.141 * [taylor]: Taking taylor expansion of k in k 2.141 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 2.141 * [taylor]: Taking taylor expansion of (* n PI) in k 2.141 * [taylor]: Taking taylor expansion of n in k 2.141 * [taylor]: Taking taylor expansion of PI in k 2.141 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 2.141 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 2.141 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 2.141 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.141 * [taylor]: Taking taylor expansion of 0.5 in k 2.141 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.141 * [taylor]: Taking taylor expansion of 1.0 in k 2.141 * [taylor]: Taking taylor expansion of k in k 2.141 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.141 * [taylor]: Taking taylor expansion of 2.0 in k 2.142 * [taylor]: Taking taylor expansion of 0 in n 2.143 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.144 * [taylor]: Taking taylor expansion of NAN in n 2.144 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.144 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.144 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.144 * [taylor]: Taking taylor expansion of 0.5 in n 2.144 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.144 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.144 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.144 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.144 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.144 * [taylor]: Taking taylor expansion of 1.0 in n 2.144 * [taylor]: Taking taylor expansion of (log PI) in n 2.144 * [taylor]: Taking taylor expansion of PI in n 2.144 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.144 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.144 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.144 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.144 * [taylor]: Taking taylor expansion of 1.0 in n 2.144 * [taylor]: Taking taylor expansion of (log n) in n 2.144 * [taylor]: Taking taylor expansion of n in n 2.144 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.144 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.144 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.144 * [taylor]: Taking taylor expansion of 1.0 in n 2.144 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.144 * [taylor]: Taking taylor expansion of 2.0 in n 2.149 * [taylor]: Taking taylor expansion of (- (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) (+ (* 0.5 (* (* (log 2.0) NAN) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* NAN (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 2.149 * [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 2.149 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.149 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.149 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.149 * [taylor]: Taking taylor expansion of 0.5 in n 2.149 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.149 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.149 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.149 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.149 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.149 * [taylor]: Taking taylor expansion of 1.0 in n 2.149 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.149 * [taylor]: Taking taylor expansion of 2.0 in n 2.149 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.149 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.149 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.149 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.149 * [taylor]: Taking taylor expansion of 1.0 in n 2.149 * [taylor]: Taking taylor expansion of (log n) in n 2.150 * [taylor]: Taking taylor expansion of n in n 2.150 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.150 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.150 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.150 * [taylor]: Taking taylor expansion of 1.0 in n 2.150 * [taylor]: Taking taylor expansion of (log PI) in n 2.150 * [taylor]: Taking taylor expansion of PI in n 2.151 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.151 * [taylor]: Taking taylor expansion of NAN in n 2.151 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (* (log 2.0) NAN) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* NAN (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 2.151 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log 2.0) NAN) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.151 * [taylor]: Taking taylor expansion of 0.5 in n 2.151 * [taylor]: Taking taylor expansion of (* (* (log 2.0) NAN) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.151 * [taylor]: Taking taylor expansion of (* (log 2.0) NAN) in n 2.151 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.151 * [taylor]: Taking taylor expansion of 2.0 in n 2.151 * [taylor]: Taking taylor expansion of NAN in n 2.151 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.151 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.151 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.151 * [taylor]: Taking taylor expansion of 0.5 in n 2.151 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.151 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.151 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.151 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.151 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.151 * [taylor]: Taking taylor expansion of 1.0 in n 2.151 * [taylor]: Taking taylor expansion of (log PI) in n 2.151 * [taylor]: Taking taylor expansion of PI in n 2.151 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.151 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.151 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.151 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.151 * [taylor]: Taking taylor expansion of 1.0 in n 2.151 * [taylor]: Taking taylor expansion of (log n) in n 2.151 * [taylor]: Taking taylor expansion of n in n 2.151 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.151 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.151 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.151 * [taylor]: Taking taylor expansion of 1.0 in n 2.151 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.151 * [taylor]: Taking taylor expansion of 2.0 in n 2.152 * [taylor]: Taking taylor expansion of (* 0.5 (* (* NAN (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.152 * [taylor]: Taking taylor expansion of 0.5 in n 2.152 * [taylor]: Taking taylor expansion of (* (* NAN (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.152 * [taylor]: Taking taylor expansion of (* NAN (log (* n PI))) in n 2.152 * [taylor]: Taking taylor expansion of NAN in n 2.152 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.152 * [taylor]: Taking taylor expansion of (* n PI) in n 2.152 * [taylor]: Taking taylor expansion of n in n 2.152 * [taylor]: Taking taylor expansion of PI in n 2.152 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.152 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.153 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.153 * [taylor]: Taking taylor expansion of 0.5 in n 2.153 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.153 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.153 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.153 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.153 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.153 * [taylor]: Taking taylor expansion of 1.0 in n 2.153 * [taylor]: Taking taylor expansion of (log PI) in n 2.153 * [taylor]: Taking taylor expansion of PI in n 2.153 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.153 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.153 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.153 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.153 * [taylor]: Taking taylor expansion of 1.0 in n 2.153 * [taylor]: Taking taylor expansion of (log n) in n 2.153 * [taylor]: Taking taylor expansion of n in n 2.153 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.153 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.153 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.153 * [taylor]: Taking taylor expansion of 1.0 in n 2.153 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.153 * [taylor]: Taking taylor expansion of 2.0 in n 2.168 * [taylor]: Taking taylor expansion of (- (+ (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log (* n PI)) 2)))) (+ (* 0.25 (* (* (log 2.0) (* NAN (log (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.125 (* (* (pow (log 2.0) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 0.5 (* (* (pow NAN 3) (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (log 2.0) (pow NAN 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 2.168 * [taylor]: Taking taylor expansion of (+ (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log (* n PI)) 2)))) (+ (* 0.25 (* (* (log 2.0) (* NAN (log (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.125 (* (* (pow (log 2.0) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 2.168 * [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 2.168 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 2.168 * [taylor]: Taking taylor expansion of NAN in n 2.168 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.168 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.168 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.168 * [taylor]: Taking taylor expansion of 0.5 in n 2.168 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.168 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.169 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.169 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.169 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.169 * [taylor]: Taking taylor expansion of 1.0 in n 2.169 * [taylor]: Taking taylor expansion of (log PI) in n 2.169 * [taylor]: Taking taylor expansion of PI in n 2.169 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.169 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.169 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.169 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.169 * [taylor]: Taking taylor expansion of 1.0 in n 2.169 * [taylor]: Taking taylor expansion of (log n) in n 2.169 * [taylor]: Taking taylor expansion of n in n 2.169 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.169 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.169 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.169 * [taylor]: Taking taylor expansion of 1.0 in n 2.169 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.169 * [taylor]: Taking taylor expansion of 2.0 in n 2.170 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log (* n PI)) 2)))) (+ (* 0.25 (* (* (log 2.0) (* NAN (log (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.125 (* (* (pow (log 2.0) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 2.170 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log (* n PI)) 2)))) in n 2.170 * [taylor]: Taking taylor expansion of 0.125 in n 2.170 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log (* n PI)) 2))) in n 2.170 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.170 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.170 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.170 * [taylor]: Taking taylor expansion of 0.5 in n 2.170 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.170 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.170 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.170 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.170 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.170 * [taylor]: Taking taylor expansion of 1.0 in n 2.170 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.170 * [taylor]: Taking taylor expansion of 2.0 in n 2.170 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.170 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.170 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.170 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.170 * [taylor]: Taking taylor expansion of 1.0 in n 2.170 * [taylor]: Taking taylor expansion of (log n) in n 2.170 * [taylor]: Taking taylor expansion of n in n 2.170 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.170 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.171 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.171 * [taylor]: Taking taylor expansion of 1.0 in n 2.171 * [taylor]: Taking taylor expansion of (log PI) in n 2.171 * [taylor]: Taking taylor expansion of PI in n 2.171 * [taylor]: Taking taylor expansion of (* NAN (pow (log (* n PI)) 2)) in n 2.171 * [taylor]: Taking taylor expansion of NAN in n 2.171 * [taylor]: Taking taylor expansion of (pow (log (* n PI)) 2) in n 2.171 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.171 * [taylor]: Taking taylor expansion of (* n PI) in n 2.171 * [taylor]: Taking taylor expansion of n in n 2.171 * [taylor]: Taking taylor expansion of PI in n 2.172 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log 2.0) (* NAN (log (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.125 (* (* (pow (log 2.0) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 2.172 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log 2.0) (* NAN (log (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.172 * [taylor]: Taking taylor expansion of 0.25 in n 2.172 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (* NAN (log (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.172 * [taylor]: Taking taylor expansion of (* (log 2.0) (* NAN (log (* n PI)))) in n 2.172 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.172 * [taylor]: Taking taylor expansion of 2.0 in n 2.172 * [taylor]: Taking taylor expansion of (* NAN (log (* n PI))) in n 2.172 * [taylor]: Taking taylor expansion of NAN in n 2.172 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.172 * [taylor]: Taking taylor expansion of (* n PI) in n 2.172 * [taylor]: Taking taylor expansion of n in n 2.172 * [taylor]: Taking taylor expansion of PI in n 2.172 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.172 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.172 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.172 * [taylor]: Taking taylor expansion of 0.5 in n 2.172 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.172 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.172 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.172 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.172 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.172 * [taylor]: Taking taylor expansion of 1.0 in n 2.172 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.172 * [taylor]: Taking taylor expansion of 2.0 in n 2.172 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.172 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.172 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.172 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.172 * [taylor]: Taking taylor expansion of 1.0 in n 2.172 * [taylor]: Taking taylor expansion of (log n) in n 2.172 * [taylor]: Taking taylor expansion of n in n 2.172 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.172 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.172 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.172 * [taylor]: Taking taylor expansion of 1.0 in n 2.172 * [taylor]: Taking taylor expansion of (log PI) in n 2.173 * [taylor]: Taking taylor expansion of PI in n 2.173 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log 2.0) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.173 * [taylor]: Taking taylor expansion of 0.125 in n 2.173 * [taylor]: Taking taylor expansion of (* (* (pow (log 2.0) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.173 * [taylor]: Taking taylor expansion of (* (pow (log 2.0) 2) NAN) in n 2.173 * [taylor]: Taking taylor expansion of (pow (log 2.0) 2) in n 2.173 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.173 * [taylor]: Taking taylor expansion of 2.0 in n 2.173 * [taylor]: Taking taylor expansion of NAN in n 2.173 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.174 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.174 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.174 * [taylor]: Taking taylor expansion of 0.5 in n 2.174 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.174 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.174 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.174 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.174 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.174 * [taylor]: Taking taylor expansion of 1.0 in n 2.174 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.174 * [taylor]: Taking taylor expansion of 2.0 in n 2.174 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.174 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.174 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.174 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.174 * [taylor]: Taking taylor expansion of 1.0 in n 2.174 * [taylor]: Taking taylor expansion of (log n) in n 2.174 * [taylor]: Taking taylor expansion of n in n 2.174 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.174 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.174 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.174 * [taylor]: Taking taylor expansion of 1.0 in n 2.174 * [taylor]: Taking taylor expansion of (log PI) in n 2.174 * [taylor]: Taking taylor expansion of PI in n 2.175 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (* (pow NAN 3) (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (log 2.0) (pow NAN 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 2.175 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (pow NAN 3) (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.175 * [taylor]: Taking taylor expansion of 0.5 in n 2.175 * [taylor]: Taking taylor expansion of (* (* (pow NAN 3) (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.175 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (log (* n PI))) in n 2.175 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.175 * [taylor]: Taking taylor expansion of NAN in n 2.175 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.175 * [taylor]: Taking taylor expansion of (* n PI) in n 2.175 * [taylor]: Taking taylor expansion of n in n 2.175 * [taylor]: Taking taylor expansion of PI in n 2.175 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.175 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.175 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.175 * [taylor]: Taking taylor expansion of 0.5 in n 2.175 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.175 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.175 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.175 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.175 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.175 * [taylor]: Taking taylor expansion of 1.0 in n 2.175 * [taylor]: Taking taylor expansion of (log PI) in n 2.175 * [taylor]: Taking taylor expansion of PI in n 2.175 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.175 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.175 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.176 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.176 * [taylor]: Taking taylor expansion of 1.0 in n 2.176 * [taylor]: Taking taylor expansion of (log n) in n 2.176 * [taylor]: Taking taylor expansion of n in n 2.176 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.176 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.176 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.176 * [taylor]: Taking taylor expansion of 1.0 in n 2.176 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.176 * [taylor]: Taking taylor expansion of 2.0 in n 2.177 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log 2.0) (pow NAN 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.177 * [taylor]: Taking taylor expansion of 0.5 in n 2.177 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (pow NAN 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.177 * [taylor]: Taking taylor expansion of (* (log 2.0) (pow NAN 3)) in n 2.177 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.177 * [taylor]: Taking taylor expansion of 2.0 in n 2.177 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.177 * [taylor]: Taking taylor expansion of NAN in n 2.177 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.177 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.177 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.177 * [taylor]: Taking taylor expansion of 0.5 in n 2.177 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.177 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.177 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.177 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.177 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.177 * [taylor]: Taking taylor expansion of 1.0 in n 2.177 * [taylor]: Taking taylor expansion of (log PI) in n 2.177 * [taylor]: Taking taylor expansion of PI in n 2.177 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.177 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.177 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.177 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.177 * [taylor]: Taking taylor expansion of 1.0 in n 2.177 * [taylor]: Taking taylor expansion of (log n) in n 2.177 * [taylor]: Taking taylor expansion of n in n 2.177 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.177 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.177 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.177 * [taylor]: Taking taylor expansion of 1.0 in n 2.177 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.177 * [taylor]: Taking taylor expansion of 2.0 in n 2.209 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 2.209 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.209 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.209 * [taylor]: Taking taylor expansion of k in n 2.209 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.209 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in n 2.209 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in n 2.209 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in n 2.209 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.209 * [taylor]: Taking taylor expansion of 0.5 in n 2.209 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.209 * [taylor]: Taking taylor expansion of 1.0 in n 2.209 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.209 * [taylor]: Taking taylor expansion of k in n 2.209 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.209 * [taylor]: Taking taylor expansion of 2.0 in n 2.209 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.209 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 2.209 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 2.209 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.209 * [taylor]: Taking taylor expansion of 0.5 in n 2.209 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.209 * [taylor]: Taking taylor expansion of 1.0 in n 2.210 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.210 * [taylor]: Taking taylor expansion of k in n 2.210 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 2.210 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.210 * [taylor]: Taking taylor expansion of PI in n 2.210 * [taylor]: Taking taylor expansion of n in n 2.210 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.210 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.210 * [taylor]: Taking taylor expansion of k in k 2.210 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.210 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 2.210 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 2.210 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 2.210 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.210 * [taylor]: Taking taylor expansion of 0.5 in k 2.210 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.210 * [taylor]: Taking taylor expansion of 1.0 in k 2.210 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.210 * [taylor]: Taking taylor expansion of k in k 2.210 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.210 * [taylor]: Taking taylor expansion of 2.0 in k 2.210 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.210 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 2.210 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 2.210 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.210 * [taylor]: Taking taylor expansion of 0.5 in k 2.210 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.210 * [taylor]: Taking taylor expansion of 1.0 in k 2.210 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.211 * [taylor]: Taking taylor expansion of k in k 2.211 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 2.211 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.211 * [taylor]: Taking taylor expansion of PI in k 2.211 * [taylor]: Taking taylor expansion of n in k 2.211 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.211 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.211 * [taylor]: Taking taylor expansion of k in k 2.211 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.211 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 2.211 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 2.211 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 2.211 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.211 * [taylor]: Taking taylor expansion of 0.5 in k 2.211 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.211 * [taylor]: Taking taylor expansion of 1.0 in k 2.211 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.211 * [taylor]: Taking taylor expansion of k in k 2.211 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.211 * [taylor]: Taking taylor expansion of 2.0 in k 2.211 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.211 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 2.211 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 2.211 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.211 * [taylor]: Taking taylor expansion of 0.5 in k 2.211 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.211 * [taylor]: Taking taylor expansion of 1.0 in k 2.211 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.211 * [taylor]: Taking taylor expansion of k in k 2.211 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 2.211 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.211 * [taylor]: Taking taylor expansion of PI in k 2.211 * [taylor]: Taking taylor expansion of n in k 2.212 * [taylor]: Taking taylor expansion of 0 in n 2.212 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) (* NAN (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) in n 2.212 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) in n 2.212 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))) in n 2.212 * [taylor]: Taking taylor expansion of 0.5 in n 2.212 * [taylor]: Taking taylor expansion of (* (log (/ PI n)) (- 1.0 (/ 1 k))) in n 2.212 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 2.212 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.212 * [taylor]: Taking taylor expansion of PI in n 2.212 * [taylor]: Taking taylor expansion of n in n 2.212 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.212 * [taylor]: Taking taylor expansion of 1.0 in n 2.213 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.213 * [taylor]: Taking taylor expansion of k in n 2.213 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) in n 2.213 * [taylor]: Taking taylor expansion of NAN in n 2.213 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 2.213 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 2.213 * [taylor]: Taking taylor expansion of 0.5 in n 2.213 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 2.213 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.213 * [taylor]: Taking taylor expansion of 2.0 in n 2.213 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.213 * [taylor]: Taking taylor expansion of 1.0 in n 2.213 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.213 * [taylor]: Taking taylor expansion of k in n 2.214 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) (* (pow NAN 3) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) in n 2.214 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) in n 2.214 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))) in n 2.214 * [taylor]: Taking taylor expansion of 0.5 in n 2.214 * [taylor]: Taking taylor expansion of (* (log (/ PI n)) (- 1.0 (/ 1 k))) in n 2.214 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 2.214 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.214 * [taylor]: Taking taylor expansion of PI in n 2.214 * [taylor]: Taking taylor expansion of n in n 2.214 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.214 * [taylor]: Taking taylor expansion of 1.0 in n 2.214 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.214 * [taylor]: Taking taylor expansion of k in n 2.215 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) in n 2.215 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.215 * [taylor]: Taking taylor expansion of NAN in n 2.215 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 2.215 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 2.215 * [taylor]: Taking taylor expansion of 0.5 in n 2.215 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 2.215 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.215 * [taylor]: Taking taylor expansion of 2.0 in n 2.215 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.215 * [taylor]: Taking taylor expansion of 1.0 in n 2.215 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.215 * [taylor]: Taking taylor expansion of k in n 2.217 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) (* (pow NAN 5) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) in n 2.217 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) in n 2.217 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))) in n 2.217 * [taylor]: Taking taylor expansion of 0.5 in n 2.217 * [taylor]: Taking taylor expansion of (* (log (/ PI n)) (- 1.0 (/ 1 k))) in n 2.218 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 2.218 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.218 * [taylor]: Taking taylor expansion of PI in n 2.218 * [taylor]: Taking taylor expansion of n in n 2.218 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.218 * [taylor]: Taking taylor expansion of 1.0 in n 2.218 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.218 * [taylor]: Taking taylor expansion of k in n 2.218 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) in n 2.218 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 2.218 * [taylor]: Taking taylor expansion of NAN in n 2.218 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 2.218 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 2.218 * [taylor]: Taking taylor expansion of 0.5 in n 2.218 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 2.218 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.218 * [taylor]: Taking taylor expansion of 2.0 in n 2.218 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.218 * [taylor]: Taking taylor expansion of 1.0 in n 2.218 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.218 * [taylor]: Taking taylor expansion of k in n 2.220 * [approximate]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in (k n) around 0 2.220 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 2.220 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 2.220 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in n 2.220 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in n 2.220 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in n 2.220 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.220 * [taylor]: Taking taylor expansion of 0.5 in n 2.220 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.220 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.220 * [taylor]: Taking taylor expansion of k in n 2.220 * [taylor]: Taking taylor expansion of 1.0 in n 2.220 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.220 * [taylor]: Taking taylor expansion of 2.0 in n 2.221 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.221 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 2.221 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 2.221 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.221 * [taylor]: Taking taylor expansion of 0.5 in n 2.221 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.221 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.221 * [taylor]: Taking taylor expansion of k in n 2.221 * [taylor]: Taking taylor expansion of 1.0 in n 2.221 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 2.221 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.221 * [taylor]: Taking taylor expansion of -1 in n 2.221 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.221 * [taylor]: Taking taylor expansion of PI in n 2.221 * [taylor]: Taking taylor expansion of n in n 2.221 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.221 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.221 * [taylor]: Taking taylor expansion of -1 in n 2.221 * [taylor]: Taking taylor expansion of k in n 2.222 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 2.222 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.222 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 2.222 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 2.222 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 2.222 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.222 * [taylor]: Taking taylor expansion of 0.5 in k 2.222 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.222 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.222 * [taylor]: Taking taylor expansion of k in k 2.222 * [taylor]: Taking taylor expansion of 1.0 in k 2.222 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.222 * [taylor]: Taking taylor expansion of 2.0 in k 2.222 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.222 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 2.222 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 2.222 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.222 * [taylor]: Taking taylor expansion of 0.5 in k 2.222 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.222 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.222 * [taylor]: Taking taylor expansion of k in k 2.222 * [taylor]: Taking taylor expansion of 1.0 in k 2.222 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 2.222 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 2.222 * [taylor]: Taking taylor expansion of -1 in k 2.222 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.222 * [taylor]: Taking taylor expansion of PI in k 2.222 * [taylor]: Taking taylor expansion of n in k 2.223 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.223 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.223 * [taylor]: Taking taylor expansion of -1 in k 2.223 * [taylor]: Taking taylor expansion of k in k 2.223 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 2.223 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.223 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 2.223 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 2.223 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 2.223 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.223 * [taylor]: Taking taylor expansion of 0.5 in k 2.223 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.223 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.223 * [taylor]: Taking taylor expansion of k in k 2.223 * [taylor]: Taking taylor expansion of 1.0 in k 2.223 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.223 * [taylor]: Taking taylor expansion of 2.0 in k 2.223 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.223 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 2.223 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 2.223 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.223 * [taylor]: Taking taylor expansion of 0.5 in k 2.223 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.223 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.223 * [taylor]: Taking taylor expansion of k in k 2.224 * [taylor]: Taking taylor expansion of 1.0 in k 2.224 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 2.224 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 2.224 * [taylor]: Taking taylor expansion of -1 in k 2.224 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.224 * [taylor]: Taking taylor expansion of PI in k 2.224 * [taylor]: Taking taylor expansion of n in k 2.224 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.224 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.224 * [taylor]: Taking taylor expansion of -1 in k 2.224 * [taylor]: Taking taylor expansion of k in k 2.224 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) NAN) in n 2.224 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) in n 2.224 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) in n 2.224 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n))))) in n 2.224 * [taylor]: Taking taylor expansion of 0.5 in n 2.224 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))) in n 2.224 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.224 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.224 * [taylor]: Taking taylor expansion of k in n 2.224 * [taylor]: Taking taylor expansion of 1.0 in n 2.224 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 2.224 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.224 * [taylor]: Taking taylor expansion of -1 in n 2.225 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.225 * [taylor]: Taking taylor expansion of PI in n 2.225 * [taylor]: Taking taylor expansion of n in n 2.225 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) in n 2.225 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) in n 2.225 * [taylor]: Taking taylor expansion of 0.5 in n 2.225 * [taylor]: Taking taylor expansion of (* (log 2.0) (+ (/ 1 k) 1.0)) in n 2.225 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.225 * [taylor]: Taking taylor expansion of 2.0 in n 2.225 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.225 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.225 * [taylor]: Taking taylor expansion of k in n 2.225 * [taylor]: Taking taylor expansion of 1.0 in n 2.225 * [taylor]: Taking taylor expansion of NAN in n 2.226 * [taylor]: Taking taylor expansion of (neg (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) (* NAN (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) in n 2.226 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) (* NAN (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) in n 2.226 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) in n 2.226 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n))))) in n 2.226 * [taylor]: Taking taylor expansion of 0.5 in n 2.226 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))) in n 2.226 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.226 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.226 * [taylor]: Taking taylor expansion of k in n 2.226 * [taylor]: Taking taylor expansion of 1.0 in n 2.227 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 2.227 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.227 * [taylor]: Taking taylor expansion of -1 in n 2.227 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.227 * [taylor]: Taking taylor expansion of PI in n 2.227 * [taylor]: Taking taylor expansion of n in n 2.227 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) in n 2.227 * [taylor]: Taking taylor expansion of NAN in n 2.227 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) in n 2.227 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) in n 2.227 * [taylor]: Taking taylor expansion of 0.5 in n 2.227 * [taylor]: Taking taylor expansion of (* (log 2.0) (+ (/ 1 k) 1.0)) in n 2.227 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.227 * [taylor]: Taking taylor expansion of 2.0 in n 2.227 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.227 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.227 * [taylor]: Taking taylor expansion of k in n 2.227 * [taylor]: Taking taylor expansion of 1.0 in n 2.230 * [taylor]: Taking taylor expansion of 0 in n 2.234 * [taylor]: Taking taylor expansion of 0 in n 2.234 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 2.234 * [approximate]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* n PI) (* 0.5 (- 1.0 k))))) in (k n) around 0 2.234 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* n PI) (* 0.5 (- 1.0 k))))) in n 2.234 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.234 * [taylor]: Taking taylor expansion of k in n 2.235 * [taylor]: Taking taylor expansion of (/ 1 (pow (* n PI) (* 0.5 (- 1.0 k)))) in n 2.235 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 2.235 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 2.235 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 2.235 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.235 * [taylor]: Taking taylor expansion of 0.5 in n 2.235 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.235 * [taylor]: Taking taylor expansion of 1.0 in n 2.235 * [taylor]: Taking taylor expansion of k in n 2.235 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.235 * [taylor]: Taking taylor expansion of (* n PI) in n 2.235 * [taylor]: Taking taylor expansion of n in n 2.235 * [taylor]: Taking taylor expansion of PI in n 2.235 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* n PI) (* 0.5 (- 1.0 k))))) in k 2.235 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.235 * [taylor]: Taking taylor expansion of k in k 2.235 * [taylor]: Taking taylor expansion of (/ 1 (pow (* n PI) (* 0.5 (- 1.0 k)))) in k 2.235 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 2.235 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 2.235 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 2.235 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.235 * [taylor]: Taking taylor expansion of 0.5 in k 2.235 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.235 * [taylor]: Taking taylor expansion of 1.0 in k 2.235 * [taylor]: Taking taylor expansion of k in k 2.235 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 2.235 * [taylor]: Taking taylor expansion of (* n PI) in k 2.235 * [taylor]: Taking taylor expansion of n in k 2.235 * [taylor]: Taking taylor expansion of PI in k 2.236 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* n PI) (* 0.5 (- 1.0 k))))) in k 2.236 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.236 * [taylor]: Taking taylor expansion of k in k 2.236 * [taylor]: Taking taylor expansion of (/ 1 (pow (* n PI) (* 0.5 (- 1.0 k)))) in k 2.236 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 2.236 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 2.236 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 2.236 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.236 * [taylor]: Taking taylor expansion of 0.5 in k 2.236 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.236 * [taylor]: Taking taylor expansion of 1.0 in k 2.236 * [taylor]: Taking taylor expansion of k in k 2.236 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 2.236 * [taylor]: Taking taylor expansion of (* n PI) in k 2.236 * [taylor]: Taking taylor expansion of n in k 2.236 * [taylor]: Taking taylor expansion of PI in k 2.236 * [taylor]: Taking taylor expansion of 0 in n 2.237 * [taylor]: Taking taylor expansion of (* NAN (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.237 * [taylor]: Taking taylor expansion of NAN in n 2.237 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.237 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow n 1.0) (pow PI 1.0)))))) in n 2.237 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow n 1.0) (pow PI 1.0))))) in n 2.237 * [taylor]: Taking taylor expansion of 0.5 in n 2.237 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow n 1.0) (pow PI 1.0)))) in n 2.238 * [taylor]: Taking taylor expansion of (/ 1 (* (pow n 1.0) (pow PI 1.0))) in n 2.238 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.238 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.238 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.238 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.238 * [taylor]: Taking taylor expansion of 1.0 in n 2.238 * [taylor]: Taking taylor expansion of (log n) in n 2.238 * [taylor]: Taking taylor expansion of n in n 2.238 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.238 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.238 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.238 * [taylor]: Taking taylor expansion of 1.0 in n 2.238 * [taylor]: Taking taylor expansion of (log PI) in n 2.238 * [taylor]: Taking taylor expansion of PI in n 2.241 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (* NAN (log (* n PI))) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* (pow NAN 3) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.241 * [taylor]: Taking taylor expansion of (* 0.5 (* (* NAN (log (* n PI))) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.241 * [taylor]: Taking taylor expansion of 0.5 in n 2.241 * [taylor]: Taking taylor expansion of (* (* NAN (log (* n PI))) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.241 * [taylor]: Taking taylor expansion of (* NAN (log (* n PI))) in n 2.241 * [taylor]: Taking taylor expansion of NAN in n 2.241 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.241 * [taylor]: Taking taylor expansion of (* n PI) in n 2.241 * [taylor]: Taking taylor expansion of n in n 2.241 * [taylor]: Taking taylor expansion of PI in n 2.241 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.241 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow n 1.0) (pow PI 1.0)))))) in n 2.241 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow n 1.0) (pow PI 1.0))))) in n 2.242 * [taylor]: Taking taylor expansion of 0.5 in n 2.242 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow n 1.0) (pow PI 1.0)))) in n 2.242 * [taylor]: Taking taylor expansion of (/ 1 (* (pow n 1.0) (pow PI 1.0))) in n 2.242 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.242 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.242 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.242 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.242 * [taylor]: Taking taylor expansion of 1.0 in n 2.242 * [taylor]: Taking taylor expansion of (log n) in n 2.242 * [taylor]: Taking taylor expansion of n in n 2.242 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.242 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.242 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.242 * [taylor]: Taking taylor expansion of 1.0 in n 2.242 * [taylor]: Taking taylor expansion of (log PI) in n 2.242 * [taylor]: Taking taylor expansion of PI in n 2.243 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.243 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.243 * [taylor]: Taking taylor expansion of NAN in n 2.243 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.243 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow n 1.0) (pow PI 1.0)))))) in n 2.243 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow n 1.0) (pow PI 1.0))))) in n 2.243 * [taylor]: Taking taylor expansion of 0.5 in n 2.243 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow n 1.0) (pow PI 1.0)))) in n 2.243 * [taylor]: Taking taylor expansion of (/ 1 (* (pow n 1.0) (pow PI 1.0))) in n 2.243 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.243 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.243 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.243 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.243 * [taylor]: Taking taylor expansion of 1.0 in n 2.243 * [taylor]: Taking taylor expansion of (log n) in n 2.243 * [taylor]: Taking taylor expansion of n in n 2.243 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.243 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.243 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.243 * [taylor]: Taking taylor expansion of 1.0 in n 2.243 * [taylor]: Taking taylor expansion of (log PI) in n 2.243 * [taylor]: Taking taylor expansion of PI in n 2.251 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (* (pow NAN 3) (log (* n PI))) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* (pow NAN 5) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* 0.125 (* (* NAN (pow (log (* n PI)) 2)) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 2.251 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (pow NAN 3) (log (* n PI))) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.251 * [taylor]: Taking taylor expansion of 0.5 in n 2.251 * [taylor]: Taking taylor expansion of (* (* (pow NAN 3) (log (* n PI))) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.251 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (log (* n PI))) in n 2.251 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.251 * [taylor]: Taking taylor expansion of NAN in n 2.251 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.251 * [taylor]: Taking taylor expansion of (* n PI) in n 2.251 * [taylor]: Taking taylor expansion of n in n 2.251 * [taylor]: Taking taylor expansion of PI in n 2.252 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.252 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow n 1.0) (pow PI 1.0)))))) in n 2.252 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow n 1.0) (pow PI 1.0))))) in n 2.252 * [taylor]: Taking taylor expansion of 0.5 in n 2.252 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow n 1.0) (pow PI 1.0)))) in n 2.252 * [taylor]: Taking taylor expansion of (/ 1 (* (pow n 1.0) (pow PI 1.0))) in n 2.252 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.252 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.252 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.252 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.252 * [taylor]: Taking taylor expansion of 1.0 in n 2.252 * [taylor]: Taking taylor expansion of (log n) in n 2.252 * [taylor]: Taking taylor expansion of n in n 2.252 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.252 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.252 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.252 * [taylor]: Taking taylor expansion of 1.0 in n 2.252 * [taylor]: Taking taylor expansion of (log PI) in n 2.252 * [taylor]: Taking taylor expansion of PI in n 2.253 * [taylor]: Taking taylor expansion of (+ (* (pow NAN 5) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* 0.125 (* (* NAN (pow (log (* n PI)) 2)) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 2.253 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.253 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 2.253 * [taylor]: Taking taylor expansion of NAN in n 2.253 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.253 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow n 1.0) (pow PI 1.0)))))) in n 2.253 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow n 1.0) (pow PI 1.0))))) in n 2.253 * [taylor]: Taking taylor expansion of 0.5 in n 2.253 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow n 1.0) (pow PI 1.0)))) in n 2.253 * [taylor]: Taking taylor expansion of (/ 1 (* (pow n 1.0) (pow PI 1.0))) in n 2.253 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.253 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.253 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.253 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.253 * [taylor]: Taking taylor expansion of 1.0 in n 2.253 * [taylor]: Taking taylor expansion of (log n) in n 2.253 * [taylor]: Taking taylor expansion of n in n 2.253 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.253 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.253 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.253 * [taylor]: Taking taylor expansion of 1.0 in n 2.253 * [taylor]: Taking taylor expansion of (log PI) in n 2.253 * [taylor]: Taking taylor expansion of PI in n 2.254 * [taylor]: Taking taylor expansion of (* 0.125 (* (* NAN (pow (log (* n PI)) 2)) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.254 * [taylor]: Taking taylor expansion of 0.125 in n 2.254 * [taylor]: Taking taylor expansion of (* (* NAN (pow (log (* n PI)) 2)) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.254 * [taylor]: Taking taylor expansion of (* NAN (pow (log (* n PI)) 2)) in n 2.254 * [taylor]: Taking taylor expansion of NAN in n 2.254 * [taylor]: Taking taylor expansion of (pow (log (* n PI)) 2) in n 2.254 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.254 * [taylor]: Taking taylor expansion of (* n PI) in n 2.254 * [taylor]: Taking taylor expansion of n in n 2.254 * [taylor]: Taking taylor expansion of PI in n 2.254 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.254 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow n 1.0) (pow PI 1.0)))))) in n 2.254 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow n 1.0) (pow PI 1.0))))) in n 2.254 * [taylor]: Taking taylor expansion of 0.5 in n 2.254 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow n 1.0) (pow PI 1.0)))) in n 2.254 * [taylor]: Taking taylor expansion of (/ 1 (* (pow n 1.0) (pow PI 1.0))) in n 2.254 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.254 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.255 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.255 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.255 * [taylor]: Taking taylor expansion of 1.0 in n 2.255 * [taylor]: Taking taylor expansion of (log n) in n 2.255 * [taylor]: Taking taylor expansion of n in n 2.255 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.255 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.255 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.255 * [taylor]: Taking taylor expansion of 1.0 in n 2.255 * [taylor]: Taking taylor expansion of (log PI) in n 2.255 * [taylor]: Taking taylor expansion of PI in n 2.267 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 2.267 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.267 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.267 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.267 * [taylor]: Taking taylor expansion of k in n 2.267 * [taylor]: Taking taylor expansion of (/ 1 (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.267 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.267 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 2.267 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 2.267 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.267 * [taylor]: Taking taylor expansion of 0.5 in n 2.267 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.267 * [taylor]: Taking taylor expansion of 1.0 in n 2.267 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.267 * [taylor]: Taking taylor expansion of k in n 2.267 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 2.267 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.267 * [taylor]: Taking taylor expansion of PI in n 2.267 * [taylor]: Taking taylor expansion of n in n 2.268 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.268 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.268 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.268 * [taylor]: Taking taylor expansion of k in k 2.268 * [taylor]: Taking taylor expansion of (/ 1 (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.268 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.268 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 2.268 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 2.268 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.268 * [taylor]: Taking taylor expansion of 0.5 in k 2.268 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.268 * [taylor]: Taking taylor expansion of 1.0 in k 2.268 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.268 * [taylor]: Taking taylor expansion of k in k 2.268 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 2.268 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.268 * [taylor]: Taking taylor expansion of PI in k 2.268 * [taylor]: Taking taylor expansion of n in k 2.268 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.268 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.268 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.268 * [taylor]: Taking taylor expansion of k in k 2.268 * [taylor]: Taking taylor expansion of (/ 1 (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.268 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.268 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 2.268 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 2.268 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.268 * [taylor]: Taking taylor expansion of 0.5 in k 2.269 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.269 * [taylor]: Taking taylor expansion of 1.0 in k 2.269 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.269 * [taylor]: Taking taylor expansion of k in k 2.269 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 2.269 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.269 * [taylor]: Taking taylor expansion of PI in k 2.269 * [taylor]: Taking taylor expansion of n in k 2.269 * [taylor]: Taking taylor expansion of 0 in n 2.269 * [taylor]: Taking taylor expansion of (/ NAN (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))))) in n 2.269 * [taylor]: Taking taylor expansion of NAN in n 2.269 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) in n 2.269 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))) in n 2.269 * [taylor]: Taking taylor expansion of 0.5 in n 2.269 * [taylor]: Taking taylor expansion of (* (log (/ PI n)) (- 1.0 (/ 1 k))) in n 2.269 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 2.269 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.269 * [taylor]: Taking taylor expansion of PI in n 2.269 * [taylor]: Taking taylor expansion of n in n 2.270 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.270 * [taylor]: Taking taylor expansion of 1.0 in n 2.270 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.270 * [taylor]: Taking taylor expansion of k in n 2.271 * [taylor]: Taking taylor expansion of (/ (pow NAN 3) (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))))) in n 2.271 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.271 * [taylor]: Taking taylor expansion of NAN in n 2.271 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) in n 2.271 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))) in n 2.271 * [taylor]: Taking taylor expansion of 0.5 in n 2.271 * [taylor]: Taking taylor expansion of (* (log (/ PI n)) (- 1.0 (/ 1 k))) in n 2.271 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 2.271 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.271 * [taylor]: Taking taylor expansion of PI in n 2.271 * [taylor]: Taking taylor expansion of n in n 2.271 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.271 * [taylor]: Taking taylor expansion of 1.0 in n 2.271 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.271 * [taylor]: Taking taylor expansion of k in n 2.273 * [taylor]: Taking taylor expansion of (/ (pow NAN 5) (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))))) in n 2.273 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 2.273 * [taylor]: Taking taylor expansion of NAN in n 2.273 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) in n 2.273 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))) in n 2.273 * [taylor]: Taking taylor expansion of 0.5 in n 2.273 * [taylor]: Taking taylor expansion of (* (log (/ PI n)) (- 1.0 (/ 1 k))) in n 2.273 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 2.273 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.273 * [taylor]: Taking taylor expansion of PI in n 2.273 * [taylor]: Taking taylor expansion of n in n 2.273 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.273 * [taylor]: Taking taylor expansion of 1.0 in n 2.273 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.273 * [taylor]: Taking taylor expansion of k in n 2.275 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 2.275 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 2.275 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.275 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.275 * [taylor]: Taking taylor expansion of -1 in n 2.275 * [taylor]: Taking taylor expansion of k in n 2.275 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.275 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 2.275 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 2.275 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.275 * [taylor]: Taking taylor expansion of 0.5 in n 2.275 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.275 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.275 * [taylor]: Taking taylor expansion of k in n 2.275 * [taylor]: Taking taylor expansion of 1.0 in n 2.275 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 2.275 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.275 * [taylor]: Taking taylor expansion of -1 in n 2.275 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.275 * [taylor]: Taking taylor expansion of PI in n 2.275 * [taylor]: Taking taylor expansion of n in n 2.276 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.276 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.276 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.276 * [taylor]: Taking taylor expansion of -1 in k 2.276 * [taylor]: Taking taylor expansion of k in k 2.276 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.276 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 2.276 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 2.276 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.276 * [taylor]: Taking taylor expansion of 0.5 in k 2.276 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.276 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.276 * [taylor]: Taking taylor expansion of k in k 2.276 * [taylor]: Taking taylor expansion of 1.0 in k 2.276 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 2.276 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 2.276 * [taylor]: Taking taylor expansion of -1 in k 2.276 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.276 * [taylor]: Taking taylor expansion of PI in k 2.276 * [taylor]: Taking taylor expansion of n in k 2.276 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.276 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.276 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.276 * [taylor]: Taking taylor expansion of -1 in k 2.276 * [taylor]: Taking taylor expansion of k in k 2.276 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.276 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 2.276 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 2.276 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.276 * [taylor]: Taking taylor expansion of 0.5 in k 2.276 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.277 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.277 * [taylor]: Taking taylor expansion of k in k 2.277 * [taylor]: Taking taylor expansion of 1.0 in k 2.277 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 2.277 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 2.277 * [taylor]: Taking taylor expansion of -1 in k 2.277 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.277 * [taylor]: Taking taylor expansion of PI in k 2.277 * [taylor]: Taking taylor expansion of n in k 2.277 * [taylor]: Taking taylor expansion of (/ NAN (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n))))))) in n 2.277 * [taylor]: Taking taylor expansion of NAN in n 2.277 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) in n 2.277 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n))))) in n 2.277 * [taylor]: Taking taylor expansion of 0.5 in n 2.277 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))) in n 2.277 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.277 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.277 * [taylor]: Taking taylor expansion of k in n 2.277 * [taylor]: Taking taylor expansion of 1.0 in n 2.277 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 2.277 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.277 * [taylor]: Taking taylor expansion of -1 in n 2.277 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.277 * [taylor]: Taking taylor expansion of PI in n 2.277 * [taylor]: Taking taylor expansion of n in n 2.278 * [taylor]: Taking taylor expansion of (/ (pow NAN 3) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n))))))) in n 2.278 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.278 * [taylor]: Taking taylor expansion of NAN in n 2.278 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) in n 2.278 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n))))) in n 2.278 * [taylor]: Taking taylor expansion of 0.5 in n 2.278 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))) in n 2.278 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.278 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.278 * [taylor]: Taking taylor expansion of k in n 2.278 * [taylor]: Taking taylor expansion of 1.0 in n 2.278 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 2.279 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.279 * [taylor]: Taking taylor expansion of -1 in n 2.279 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.279 * [taylor]: Taking taylor expansion of PI in n 2.279 * [taylor]: Taking taylor expansion of n in n 2.281 * [taylor]: Taking taylor expansion of (/ (pow NAN 5) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n))))))) in n 2.281 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 2.281 * [taylor]: Taking taylor expansion of NAN in n 2.281 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) in n 2.281 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n))))) in n 2.281 * [taylor]: Taking taylor expansion of 0.5 in n 2.281 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))) in n 2.281 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.281 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.281 * [taylor]: Taking taylor expansion of k in n 2.281 * [taylor]: Taking taylor expansion of 1.0 in n 2.281 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 2.281 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.281 * [taylor]: Taking taylor expansion of -1 in n 2.281 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.281 * [taylor]: Taking taylor expansion of PI in n 2.281 * [taylor]: Taking taylor expansion of n in n 2.282 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 2.282 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 2.283 * [taylor]: Taking taylor expansion of (* n PI) in n 2.283 * [taylor]: Taking taylor expansion of n in n 2.283 * [taylor]: Taking taylor expansion of PI in n 2.283 * [taylor]: Taking taylor expansion of (* n PI) in n 2.283 * [taylor]: Taking taylor expansion of n in n 2.283 * [taylor]: Taking taylor expansion of PI in n 2.283 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 2.283 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.283 * [taylor]: Taking taylor expansion of PI in n 2.283 * [taylor]: Taking taylor expansion of n in n 2.283 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.283 * [taylor]: Taking taylor expansion of PI in n 2.283 * [taylor]: Taking taylor expansion of n in n 2.284 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 2.284 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.284 * [taylor]: Taking taylor expansion of -1 in n 2.284 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.284 * [taylor]: Taking taylor expansion of PI in n 2.284 * [taylor]: Taking taylor expansion of n in n 2.284 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.284 * [taylor]: Taking taylor expansion of -1 in n 2.284 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.284 * [taylor]: Taking taylor expansion of PI in n 2.284 * [taylor]: Taking taylor expansion of n in n 2.285 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 2.285 * [approximate]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in (n k) around 0 2.285 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 2.285 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 2.285 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 2.285 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.285 * [taylor]: Taking taylor expansion of 0.5 in k 2.285 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.285 * [taylor]: Taking taylor expansion of 1.0 in k 2.285 * [taylor]: Taking taylor expansion of k in k 2.285 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 2.285 * [taylor]: Taking taylor expansion of (* n PI) in k 2.285 * [taylor]: Taking taylor expansion of n in k 2.285 * [taylor]: Taking taylor expansion of PI in k 2.285 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 2.285 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 2.285 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 2.285 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.285 * [taylor]: Taking taylor expansion of 0.5 in n 2.285 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.285 * [taylor]: Taking taylor expansion of 1.0 in n 2.285 * [taylor]: Taking taylor expansion of k in n 2.285 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.285 * [taylor]: Taking taylor expansion of (* n PI) in n 2.285 * [taylor]: Taking taylor expansion of n in n 2.285 * [taylor]: Taking taylor expansion of PI in n 2.286 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 2.286 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 2.286 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 2.286 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.286 * [taylor]: Taking taylor expansion of 0.5 in n 2.286 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.286 * [taylor]: Taking taylor expansion of 1.0 in n 2.286 * [taylor]: Taking taylor expansion of k in n 2.286 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.286 * [taylor]: Taking taylor expansion of (* n PI) in n 2.286 * [taylor]: Taking taylor expansion of n in n 2.286 * [taylor]: Taking taylor expansion of PI in n 2.286 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log n) (log PI))))) in k 2.286 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log n) (log PI)))) in k 2.286 * [taylor]: Taking taylor expansion of 0.5 in k 2.286 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log n) (log PI))) in k 2.286 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.286 * [taylor]: Taking taylor expansion of 1.0 in k 2.286 * [taylor]: Taking taylor expansion of k in k 2.286 * [taylor]: Taking taylor expansion of (+ (log n) (log PI)) in k 2.286 * [taylor]: Taking taylor expansion of (log n) in k 2.286 * [taylor]: Taking taylor expansion of n in k 2.286 * [taylor]: Taking taylor expansion of (log PI) in k 2.286 * [taylor]: Taking taylor expansion of PI in k 2.287 * [taylor]: Taking taylor expansion of 0 in k 2.290 * [taylor]: Taking taylor expansion of 0 in k 2.292 * [approximate]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.292 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.292 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 2.292 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 2.292 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.292 * [taylor]: Taking taylor expansion of 0.5 in k 2.292 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.292 * [taylor]: Taking taylor expansion of 1.0 in k 2.292 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.292 * [taylor]: Taking taylor expansion of k in k 2.292 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 2.292 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.292 * [taylor]: Taking taylor expansion of PI in k 2.292 * [taylor]: Taking taylor expansion of n in k 2.292 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.292 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 2.292 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 2.292 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.292 * [taylor]: Taking taylor expansion of 0.5 in n 2.292 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.292 * [taylor]: Taking taylor expansion of 1.0 in n 2.292 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.292 * [taylor]: Taking taylor expansion of k in n 2.292 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 2.292 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.292 * [taylor]: Taking taylor expansion of PI in n 2.292 * [taylor]: Taking taylor expansion of n in n 2.293 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.293 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 2.293 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 2.293 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.293 * [taylor]: Taking taylor expansion of 0.5 in n 2.293 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.293 * [taylor]: Taking taylor expansion of 1.0 in n 2.293 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.293 * [taylor]: Taking taylor expansion of k in n 2.293 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 2.293 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.293 * [taylor]: Taking taylor expansion of PI in n 2.293 * [taylor]: Taking taylor expansion of n in n 2.293 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k))))) in k 2.293 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k)))) in k 2.293 * [taylor]: Taking taylor expansion of 0.5 in k 2.293 * [taylor]: Taking taylor expansion of (* (- (log PI) (log n)) (- 1.0 (/ 1 k))) in k 2.293 * [taylor]: Taking taylor expansion of (- (log PI) (log n)) in k 2.293 * [taylor]: Taking taylor expansion of (log PI) in k 2.293 * [taylor]: Taking taylor expansion of PI in k 2.293 * [taylor]: Taking taylor expansion of (log n) in k 2.293 * [taylor]: Taking taylor expansion of n in k 2.293 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.293 * [taylor]: Taking taylor expansion of 1.0 in k 2.293 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.294 * [taylor]: Taking taylor expansion of k in k 2.294 * [taylor]: Taking taylor expansion of 0 in k 2.295 * [taylor]: Taking taylor expansion of 0 in k 2.296 * [taylor]: Taking taylor expansion of 0 in k 2.296 * [approximate]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.296 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.296 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 2.296 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 2.296 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.296 * [taylor]: Taking taylor expansion of 0.5 in k 2.296 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.296 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.296 * [taylor]: Taking taylor expansion of k in k 2.296 * [taylor]: Taking taylor expansion of 1.0 in k 2.296 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 2.296 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 2.296 * [taylor]: Taking taylor expansion of -1 in k 2.296 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.296 * [taylor]: Taking taylor expansion of PI in k 2.296 * [taylor]: Taking taylor expansion of n in k 2.297 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.297 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 2.297 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 2.297 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.297 * [taylor]: Taking taylor expansion of 0.5 in n 2.297 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.297 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.297 * [taylor]: Taking taylor expansion of k in n 2.297 * [taylor]: Taking taylor expansion of 1.0 in n 2.297 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 2.297 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.297 * [taylor]: Taking taylor expansion of -1 in n 2.297 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.297 * [taylor]: Taking taylor expansion of PI in n 2.297 * [taylor]: Taking taylor expansion of n in n 2.297 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.297 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 2.297 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 2.297 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.297 * [taylor]: Taking taylor expansion of 0.5 in n 2.297 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.297 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.297 * [taylor]: Taking taylor expansion of k in n 2.297 * [taylor]: Taking taylor expansion of 1.0 in n 2.297 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 2.297 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.297 * [taylor]: Taking taylor expansion of -1 in n 2.297 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.297 * [taylor]: Taking taylor expansion of PI in n 2.297 * [taylor]: Taking taylor expansion of n in n 2.298 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 2.298 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 2.298 * [taylor]: Taking taylor expansion of 0.5 in k 2.298 * [taylor]: Taking taylor expansion of (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 2.298 * [taylor]: Taking taylor expansion of (- (log (* -1 PI)) (log n)) in k 2.298 * [taylor]: Taking taylor expansion of (log (* -1 PI)) in k 2.298 * [taylor]: Taking taylor expansion of (* -1 PI) in k 2.298 * [taylor]: Taking taylor expansion of -1 in k 2.298 * [taylor]: Taking taylor expansion of PI in k 2.298 * [taylor]: Taking taylor expansion of (log n) in k 2.298 * [taylor]: Taking taylor expansion of n in k 2.298 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.298 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.298 * [taylor]: Taking taylor expansion of k in k 2.298 * [taylor]: Taking taylor expansion of 1.0 in k 2.299 * [taylor]: Taking taylor expansion of 0 in k 2.300 * [taylor]: Taking taylor expansion of 0 in k 2.301 * [taylor]: Taking taylor expansion of 0 in k 2.301 * * * [progress]: simplifying candidates 2.310 * [simplify]: Simplifying using # : (- (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (log (sqrt k)) (* (+ (log PI) (log n)) (/ (- 1.0 k) 2.0)))) (- (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (log (sqrt k)) (* (log (* PI n)) (/ (- 1.0 k) 2.0)))) (- (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (log (sqrt k)) (* (log (* PI n)) (/ (- 1.0 k) 2.0)))) (- (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (log (sqrt k)) (log (pow (* PI n) (/ (- 1.0 k) 2.0))))) (- (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))))) (- (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (log (sqrt k)) (* (+ (log PI) (log n)) (/ (- 1.0 k) 2.0)))) (- (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (log (sqrt k)) (* (log (* PI n)) (/ (- 1.0 k) 2.0)))) (- (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (log (sqrt k)) (* (log (* PI n)) (/ (- 1.0 k) 2.0)))) (- (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (log (sqrt k)) (log (pow (* PI n) (/ (- 1.0 k) 2.0))))) (- (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))))) (- (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (* (+ (log PI) (log n)) (/ (- 1.0 k) 2.0)))) (- (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (* (log (* PI n)) (/ (- 1.0 k) 2.0)))) (- (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (* (log (* PI n)) (/ (- 1.0 k) 2.0)))) (- (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (log (pow (* PI n) (/ (- 1.0 k) 2.0))))) (- (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))))) (log (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))))) (exp (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))))) (/ (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0))) (pow (* PI n) (/ (- 1.0 k) 2.0))))) (/ (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))))) (* (cbrt (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow (* PI n) (/ (- 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(/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))))) (/ (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (sqrt (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1.0 k) 2.0)))) (/ (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (/ (cbrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0)))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0)))))) (/ (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (/ (cbrt (sqrt k)) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))))) (/ (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (/ (cbrt (sqrt k)) (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (/ (cbrt 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2.0)) (/ (- 1.0 k) 2.0)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt (cbrt k)) (pow (* PI n) (/ (- 1.0 k) 2.0)))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt (cbrt k)) (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1.0 k) 2.0)))) (/ (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0)))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0)))))) (/ (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt (sqrt k)) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))))) (/ (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt (sqrt k)) (sqrt 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(exp (pow (* PI n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (pow (pow (* PI n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (pow (* PI n) (/ (- 1.0 k) (* 2 2.0))) (pow (* PI n) (/ (- 1.0 k) (* 2 2.0))) (+ (* 0.125 (* k (* k (* (pow (log 2.0) 2) (* NAN (pow (* (pow 2.0 1.0) (* (pow (pow (exp 1.0) (+ (log n) (log 1))) 1.0) (pow PI 1.0))) 0.5)))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow (pow (exp 1.0) (+ (log n) (log 1))) 1.0) (pow PI 1.0))) 0.5) (+ (* k (* k (pow NAN 5))) (* 0.25 (* (log 2.0) (* k (* k (* (log PI) NAN))))))) (- (+ (* (pow (* (pow 2.0 1.0) (* (pow (pow (exp 1.0) (+ (log n) (log 1))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* k (* k (* NAN (pow (log PI) 2))))) (* 0.125 (* k (* k (* NAN (pow (log n) 2))))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow (pow (exp 1.0) (+ (log n) (log 1))) 1.0) (pow PI 1.0))) 0.5) (* (* (log PI) (* k (* k (* (log n) NAN)))) 0.25)) (+ (* k (* (pow NAN 3) (pow (* (pow 2.0 1.0) (* (pow (pow (exp 1.0) (+ (log n) (log 1))) 1.0) (pow PI 1.0))) 0.5))) (* (pow (* (pow 2.0 1.0) (* (pow (pow (exp 1.0) (+ (log n) (log 1))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.25 (* (log 2.0) (* k (* k (* (log n) NAN))))) NAN))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow (pow (exp 1.0) (+ (log n) (log 1))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* k (* (log PI) (pow NAN 3))))) (* 0.5 (* k (* k (* (log n) (pow NAN 3))))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow (pow (exp 1.0) (+ (log n) (log 1))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log n) NAN))) (* 0.5 (* k (* (log PI) NAN))))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow (pow (exp 1.0) (+ (log n) (log 1))) 1.0) (pow PI 1.0))) 0.5) (+ (* (log 2.0) (* k NAN)) (* (log 2.0) (* k (* k (pow NAN 3)))))))))))) (+ (* (/ (pow (exp 0.5) (* (- 1.0 k) (- (log PI) (neg (log n))))) k) (/ (* (pow NAN 3) (pow (exp 0.5) (* (log 2.0) (- 1.0 k)))) k)) (+ (/ (pow (exp 0.5) (* (- 1.0 k) (- 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(pow PI 1.0))) 0.5) (+ (* 0.5 (* (log PI) (* (pow NAN 3) (pow k 3)))) (* 0.125 (* NAN (* (pow (log PI) 2) (pow k 3)))))) (* (pow (/ 1 (* (pow (pow (exp 1.0) (+ (log n) (log 1))) 1.0) (pow PI 1.0))) 0.5) (+ (* k NAN) (* k (* k (pow NAN 3))))))))) (+ (/ (pow NAN 3) (* k (pow (exp 0.5) (* (- 1.0 k) (- (log PI) (neg (log n))))))) (+ (/ NAN (pow (exp 0.5) (* (- 1.0 k) (- (log PI) (neg (log n)))))) (/ (pow NAN 5) (* k (* k (pow (exp 0.5) (* (- 1.0 k) (- (log PI) (neg (log n)))))))))) (+ (/ (pow NAN 5) (* k (* k (pow (exp 0.5) (* (- 1.0 k) (- (log (neg PI)) (log (/ -1 n)))))))) (- (/ NAN (pow (exp 0.5) (* (- 1.0 k) (- (log (neg PI)) (log (/ -1 n)))))) (/ (pow NAN 3) (* k (pow (exp 0.5) (* (- 1.0 k) (- (log (neg PI)) (log (/ -1 n))))))))) (* PI n) (* PI n) (* PI n) (+ (* 0.125 (* k (* k (* (pow (log PI) 2) (pow (* PI n) 0.5))))) (+ (pow (* PI n) 0.5) (- (+ (* 0.125 (* k (* k (* (pow (log n) 2) (pow (* PI n) 0.5))))) (* (* k k) (* (* (log PI) (* (log n) (pow (* PI n) 0.5))) 0.25))) (* 0.5 (* (* k (pow (* PI n) 0.5)) (log (* PI n))))))) (pow (exp 0.5) (* (- 1.0 k) (- (log PI) (neg (log n))))) (pow (exp 0.5) (* (- 1.0 k) (- (log (neg PI)) (log (/ -1 n))))) 2.422 * * * [progress]: adding candidates to table 3.483 * [progress]: [Phase 3 of 3] Extracting. 3.483 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 3.485 * * * [regime-changes]: Trying 2 branch expressions: (n k) 3.485 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 3.544 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 3.602 * * * [regime]: Found split indices: #