16.862 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 1.500 * * * [progress]: [2/2] Setting up program. 1.504 * [progress]: [Phase 2 of 3] Improving. 1.504 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1.506 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 1.507 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 1.509 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 1.511 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 1.517 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 1.539 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 1.540 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1.540 * * [progress]: iteration 1 / 4 1.540 * * * [progress]: picking best candidate 1.543 * * * * [pick]: Picked # 1.543 * * * [progress]: localizing error 1.556 * * * [progress]: generating rewritten candidates 1.556 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.564 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.568 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.577 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.593 * * * [progress]: generating series expansions 1.593 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.593 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.593 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.593 * [taylor]: Taking taylor expansion of 2.0 in n 1.593 * [taylor]: Taking taylor expansion of (* n PI) in n 1.593 * [taylor]: Taking taylor expansion of n in n 1.593 * [taylor]: Taking taylor expansion of PI in n 1.593 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.593 * [taylor]: Taking taylor expansion of 2.0 in n 1.593 * [taylor]: Taking taylor expansion of (* n PI) in n 1.593 * [taylor]: Taking taylor expansion of n in n 1.593 * [taylor]: Taking taylor expansion of PI in n 1.594 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.594 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.594 * [taylor]: Taking taylor expansion of 2.0 in n 1.594 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.594 * [taylor]: Taking taylor expansion of PI in n 1.594 * [taylor]: Taking taylor expansion of n in n 1.594 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.594 * [taylor]: Taking taylor expansion of 2.0 in n 1.594 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.594 * [taylor]: Taking taylor expansion of PI in n 1.594 * [taylor]: Taking taylor expansion of n in n 1.595 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.595 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.595 * [taylor]: Taking taylor expansion of -2.0 in n 1.595 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.595 * [taylor]: Taking taylor expansion of PI in n 1.595 * [taylor]: Taking taylor expansion of n in n 1.595 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.595 * [taylor]: Taking taylor expansion of -2.0 in n 1.595 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.595 * [taylor]: Taking taylor expansion of PI in n 1.595 * [taylor]: Taking taylor expansion of n in n 1.596 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.596 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.596 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.596 * [taylor]: Taking taylor expansion of 1.0 in k 1.596 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.596 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.596 * [taylor]: Taking taylor expansion of k in k 1.596 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.596 * [taylor]: Taking taylor expansion of 1.0 in k 1.596 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.596 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.596 * [taylor]: Taking taylor expansion of k in k 1.597 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.597 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.597 * [taylor]: Taking taylor expansion of 1.0 in k 1.597 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.597 * [taylor]: Taking taylor expansion of k in k 1.597 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.597 * [taylor]: Taking taylor expansion of 1.0 in k 1.597 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.597 * [taylor]: Taking taylor expansion of k in k 1.598 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.598 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.598 * [taylor]: Taking taylor expansion of 1.0 in k 1.598 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.598 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.598 * [taylor]: Taking taylor expansion of -1 in k 1.598 * [taylor]: Taking taylor expansion of k in k 1.598 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.598 * [taylor]: Taking taylor expansion of 1.0 in k 1.598 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.598 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.598 * [taylor]: Taking taylor expansion of -1 in k 1.598 * [taylor]: Taking taylor expansion of k in k 1.603 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.603 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.603 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.603 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.603 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.603 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.603 * [taylor]: Taking taylor expansion of 0.5 in k 1.603 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.603 * [taylor]: Taking taylor expansion of 1.0 in k 1.603 * [taylor]: Taking taylor expansion of k in k 1.603 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.603 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.603 * [taylor]: Taking taylor expansion of 2.0 in k 1.603 * [taylor]: Taking taylor expansion of (* n PI) in k 1.603 * [taylor]: Taking taylor expansion of n in k 1.603 * [taylor]: Taking taylor expansion of PI in k 1.603 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.603 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.603 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.603 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.603 * [taylor]: Taking taylor expansion of 0.5 in n 1.603 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.603 * [taylor]: Taking taylor expansion of 1.0 in n 1.604 * [taylor]: Taking taylor expansion of k in n 1.604 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.604 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.604 * [taylor]: Taking taylor expansion of 2.0 in n 1.604 * [taylor]: Taking taylor expansion of (* n PI) in n 1.604 * [taylor]: Taking taylor expansion of n in n 1.604 * [taylor]: Taking taylor expansion of PI in n 1.604 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.604 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.604 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.604 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.604 * [taylor]: Taking taylor expansion of 0.5 in n 1.604 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.604 * [taylor]: Taking taylor expansion of 1.0 in n 1.604 * [taylor]: Taking taylor expansion of k in n 1.604 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.604 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.604 * [taylor]: Taking taylor expansion of 2.0 in n 1.604 * [taylor]: Taking taylor expansion of (* n PI) in n 1.604 * [taylor]: Taking taylor expansion of n in n 1.604 * [taylor]: Taking taylor expansion of PI in n 1.604 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.604 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.604 * [taylor]: Taking taylor expansion of 0.5 in k 1.604 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.605 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.605 * [taylor]: Taking taylor expansion of 1.0 in k 1.605 * [taylor]: Taking taylor expansion of k in k 1.605 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.605 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.605 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.605 * [taylor]: Taking taylor expansion of 2.0 in k 1.605 * [taylor]: Taking taylor expansion of PI in k 1.605 * [taylor]: Taking taylor expansion of (log n) in k 1.605 * [taylor]: Taking taylor expansion of n in k 1.605 * [taylor]: Taking taylor expansion of 0 in k 1.607 * [taylor]: Taking taylor expansion of 0 in k 1.609 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.609 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.609 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.609 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.609 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.609 * [taylor]: Taking taylor expansion of 0.5 in k 1.609 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.609 * [taylor]: Taking taylor expansion of 1.0 in k 1.609 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.609 * [taylor]: Taking taylor expansion of k in k 1.609 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.609 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.609 * [taylor]: Taking taylor expansion of 2.0 in k 1.609 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.609 * [taylor]: Taking taylor expansion of PI in k 1.609 * [taylor]: Taking taylor expansion of n in k 1.610 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.610 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.610 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.610 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.610 * [taylor]: Taking taylor expansion of 0.5 in n 1.610 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.610 * [taylor]: Taking taylor expansion of 1.0 in n 1.610 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.610 * [taylor]: Taking taylor expansion of k in n 1.610 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.610 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.610 * [taylor]: Taking taylor expansion of 2.0 in n 1.610 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.610 * [taylor]: Taking taylor expansion of PI in n 1.610 * [taylor]: Taking taylor expansion of n in n 1.610 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.610 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.610 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.610 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.610 * [taylor]: Taking taylor expansion of 0.5 in n 1.610 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.610 * [taylor]: Taking taylor expansion of 1.0 in n 1.610 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.610 * [taylor]: Taking taylor expansion of k in n 1.610 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.610 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.611 * [taylor]: Taking taylor expansion of 2.0 in n 1.611 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.611 * [taylor]: Taking taylor expansion of PI in n 1.611 * [taylor]: Taking taylor expansion of n in n 1.611 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.611 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.611 * [taylor]: Taking taylor expansion of 0.5 in k 1.611 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.611 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.611 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.611 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.611 * [taylor]: Taking taylor expansion of 2.0 in k 1.611 * [taylor]: Taking taylor expansion of PI in k 1.611 * [taylor]: Taking taylor expansion of (log n) in k 1.611 * [taylor]: Taking taylor expansion of n in k 1.611 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.611 * [taylor]: Taking taylor expansion of 1.0 in k 1.611 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.611 * [taylor]: Taking taylor expansion of k in k 1.612 * [taylor]: Taking taylor expansion of 0 in k 1.613 * [taylor]: Taking taylor expansion of 0 in k 1.614 * [taylor]: Taking taylor expansion of 0 in k 1.614 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.614 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.614 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.614 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.614 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.614 * [taylor]: Taking taylor expansion of 0.5 in k 1.614 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.614 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.614 * [taylor]: Taking taylor expansion of k in k 1.614 * [taylor]: Taking taylor expansion of 1.0 in k 1.614 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.614 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.614 * [taylor]: Taking taylor expansion of -2.0 in k 1.614 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.614 * [taylor]: Taking taylor expansion of PI in k 1.614 * [taylor]: Taking taylor expansion of n in k 1.615 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.615 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.615 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.615 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.615 * [taylor]: Taking taylor expansion of 0.5 in n 1.615 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.615 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.615 * [taylor]: Taking taylor expansion of k in n 1.615 * [taylor]: Taking taylor expansion of 1.0 in n 1.615 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.615 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.615 * [taylor]: Taking taylor expansion of -2.0 in n 1.615 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.615 * [taylor]: Taking taylor expansion of PI in n 1.615 * [taylor]: Taking taylor expansion of n in n 1.615 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.615 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.615 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.615 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.615 * [taylor]: Taking taylor expansion of 0.5 in n 1.615 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.615 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.615 * [taylor]: Taking taylor expansion of k in n 1.615 * [taylor]: Taking taylor expansion of 1.0 in n 1.615 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.615 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.615 * [taylor]: Taking taylor expansion of -2.0 in n 1.615 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.615 * [taylor]: Taking taylor expansion of PI in n 1.615 * [taylor]: Taking taylor expansion of n in n 1.616 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.616 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.616 * [taylor]: Taking taylor expansion of 0.5 in k 1.616 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.616 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.616 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.616 * [taylor]: Taking taylor expansion of k in k 1.616 * [taylor]: Taking taylor expansion of 1.0 in k 1.616 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.616 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.616 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.616 * [taylor]: Taking taylor expansion of -2.0 in k 1.616 * [taylor]: Taking taylor expansion of PI in k 1.616 * [taylor]: Taking taylor expansion of (log n) in k 1.616 * [taylor]: Taking taylor expansion of n in k 1.617 * [taylor]: Taking taylor expansion of 0 in k 1.618 * [taylor]: Taking taylor expansion of 0 in k 1.619 * [taylor]: Taking taylor expansion of 0 in k 1.619 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.619 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 1.619 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 1.619 * [taylor]: Taking taylor expansion of 1.0 in n 1.619 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 1.619 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.619 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.619 * [taylor]: Taking taylor expansion of k in n 1.619 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.619 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.619 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.619 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.619 * [taylor]: Taking taylor expansion of 0.5 in n 1.619 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.619 * [taylor]: Taking taylor expansion of 1.0 in n 1.619 * [taylor]: Taking taylor expansion of k in n 1.619 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.619 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.619 * [taylor]: Taking taylor expansion of 2.0 in n 1.619 * [taylor]: Taking taylor expansion of (* n PI) in n 1.619 * [taylor]: Taking taylor expansion of n in n 1.619 * [taylor]: Taking taylor expansion of PI in n 1.620 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 1.620 * [taylor]: Taking taylor expansion of 1.0 in k 1.620 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 1.620 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.620 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.620 * [taylor]: Taking taylor expansion of k in k 1.620 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.620 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.620 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.620 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.620 * [taylor]: Taking taylor expansion of 0.5 in k 1.620 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.620 * [taylor]: Taking taylor expansion of 1.0 in k 1.620 * [taylor]: Taking taylor expansion of k in k 1.620 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.620 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.620 * [taylor]: Taking taylor expansion of 2.0 in k 1.620 * [taylor]: Taking taylor expansion of (* n PI) in k 1.620 * [taylor]: Taking taylor expansion of n in k 1.620 * [taylor]: Taking taylor expansion of PI in k 1.620 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 1.620 * [taylor]: Taking taylor expansion of 1.0 in k 1.620 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 1.620 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.620 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.620 * [taylor]: Taking taylor expansion of k in k 1.620 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.620 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.620 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.620 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.620 * [taylor]: Taking taylor expansion of 0.5 in k 1.620 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.620 * [taylor]: Taking taylor expansion of 1.0 in k 1.620 * [taylor]: Taking taylor expansion of k in k 1.620 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.620 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.620 * [taylor]: Taking taylor expansion of 2.0 in k 1.620 * [taylor]: Taking taylor expansion of (* n PI) in k 1.620 * [taylor]: Taking taylor expansion of n in k 1.620 * [taylor]: Taking taylor expansion of PI in k 1.621 * [taylor]: Taking taylor expansion of 0 in n 1.622 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.622 * [taylor]: Taking taylor expansion of 1.0 in n 1.622 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.622 * [taylor]: Taking taylor expansion of NAN in n 1.622 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.622 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.622 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.622 * [taylor]: Taking taylor expansion of 0.5 in n 1.622 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.622 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.622 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.622 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.622 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.622 * [taylor]: Taking taylor expansion of 1.0 in n 1.622 * [taylor]: Taking taylor expansion of (log PI) in n 1.622 * [taylor]: Taking taylor expansion of PI in n 1.622 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.622 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.622 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.622 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.622 * [taylor]: Taking taylor expansion of 1.0 in n 1.622 * [taylor]: Taking taylor expansion of (log n) in n 1.622 * [taylor]: Taking taylor expansion of n in n 1.622 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.622 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.622 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.622 * [taylor]: Taking taylor expansion of 1.0 in n 1.622 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.622 * [taylor]: Taking taylor expansion of 2.0 in n 1.626 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 1.626 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) in n 1.626 * [taylor]: Taking taylor expansion of 1.0 in n 1.626 * [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 1.626 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.626 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.626 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.626 * [taylor]: Taking taylor expansion of 0.5 in n 1.626 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.626 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.626 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.626 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.626 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.626 * [taylor]: Taking taylor expansion of 1.0 in n 1.626 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.626 * [taylor]: Taking taylor expansion of 2.0 in n 1.626 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.626 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.626 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.626 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.626 * [taylor]: Taking taylor expansion of 1.0 in n 1.626 * [taylor]: Taking taylor expansion of (log n) in n 1.626 * [taylor]: Taking taylor expansion of n in n 1.627 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.627 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.627 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.627 * [taylor]: Taking taylor expansion of 1.0 in n 1.627 * [taylor]: Taking taylor expansion of (log PI) in n 1.627 * [taylor]: Taking taylor expansion of PI in n 1.627 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.627 * [taylor]: Taking taylor expansion of NAN in n 1.627 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 1.627 * [taylor]: Taking taylor expansion of 0.5 in n 1.628 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 1.628 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 1.628 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.628 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.628 * [taylor]: Taking taylor expansion of 2.0 in n 1.628 * [taylor]: Taking taylor expansion of (* n PI) in n 1.628 * [taylor]: Taking taylor expansion of n in n 1.628 * [taylor]: Taking taylor expansion of PI in n 1.628 * [taylor]: Taking taylor expansion of NAN in n 1.628 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.628 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.628 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.628 * [taylor]: Taking taylor expansion of 0.5 in n 1.628 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.628 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.628 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.628 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.628 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.628 * [taylor]: Taking taylor expansion of 1.0 in n 1.628 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.628 * [taylor]: Taking taylor expansion of 2.0 in n 1.628 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.628 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.628 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.628 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.628 * [taylor]: Taking taylor expansion of 1.0 in n 1.628 * [taylor]: Taking taylor expansion of (log n) in n 1.628 * [taylor]: Taking taylor expansion of n in n 1.628 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.628 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.628 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.628 * [taylor]: Taking taylor expansion of 1.0 in n 1.628 * [taylor]: Taking taylor expansion of (log PI) in n 1.628 * [taylor]: Taking taylor expansion of PI in n 1.638 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 1.638 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) in n 1.638 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 1.638 * [taylor]: Taking taylor expansion of 0.125 in n 1.638 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 1.638 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 1.638 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 1.639 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.639 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.639 * [taylor]: Taking taylor expansion of 2.0 in n 1.639 * [taylor]: Taking taylor expansion of (* n PI) in n 1.639 * [taylor]: Taking taylor expansion of n in n 1.639 * [taylor]: Taking taylor expansion of PI in n 1.639 * [taylor]: Taking taylor expansion of NAN in n 1.639 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.639 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.639 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.639 * [taylor]: Taking taylor expansion of 0.5 in n 1.639 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.639 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.639 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.639 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.639 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.639 * [taylor]: Taking taylor expansion of 1.0 in n 1.639 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.639 * [taylor]: Taking taylor expansion of 2.0 in n 1.639 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.639 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.639 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.639 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.639 * [taylor]: Taking taylor expansion of 1.0 in n 1.639 * [taylor]: Taking taylor expansion of (log n) in n 1.639 * [taylor]: Taking taylor expansion of n in n 1.639 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.639 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.639 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.639 * [taylor]: Taking taylor expansion of 1.0 in n 1.639 * [taylor]: Taking taylor expansion of (log PI) in n 1.639 * [taylor]: Taking taylor expansion of PI in n 1.640 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5))) in n 1.640 * [taylor]: Taking taylor expansion of 1.0 in n 1.640 * [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 1.640 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.640 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.640 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.640 * [taylor]: Taking taylor expansion of 0.5 in n 1.640 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.640 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.640 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.640 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.640 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.640 * [taylor]: Taking taylor expansion of 1.0 in n 1.640 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.640 * [taylor]: Taking taylor expansion of 2.0 in n 1.640 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.640 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.641 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.641 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.641 * [taylor]: Taking taylor expansion of 1.0 in n 1.641 * [taylor]: Taking taylor expansion of (log n) in n 1.641 * [taylor]: Taking taylor expansion of n in n 1.641 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.641 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.641 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.641 * [taylor]: Taking taylor expansion of 1.0 in n 1.641 * [taylor]: Taking taylor expansion of (log PI) in n 1.641 * [taylor]: Taking taylor expansion of PI in n 1.642 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.642 * [taylor]: Taking taylor expansion of NAN in n 1.642 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 1.642 * [taylor]: Taking taylor expansion of 0.5 in n 1.642 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 1.642 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 1.642 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.642 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.642 * [taylor]: Taking taylor expansion of 2.0 in n 1.642 * [taylor]: Taking taylor expansion of (* n PI) in n 1.642 * [taylor]: Taking taylor expansion of n in n 1.642 * [taylor]: Taking taylor expansion of PI in n 1.642 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.642 * [taylor]: Taking taylor expansion of NAN in n 1.642 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.642 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.642 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.642 * [taylor]: Taking taylor expansion of 0.5 in n 1.642 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.642 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.642 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.642 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.642 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.642 * [taylor]: Taking taylor expansion of 1.0 in n 1.642 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.642 * [taylor]: Taking taylor expansion of 2.0 in n 1.642 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.642 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.642 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.642 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.642 * [taylor]: Taking taylor expansion of 1.0 in n 1.642 * [taylor]: Taking taylor expansion of (log n) in n 1.642 * [taylor]: Taking taylor expansion of n in n 1.642 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.642 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.642 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.642 * [taylor]: Taking taylor expansion of 1.0 in n 1.642 * [taylor]: Taking taylor expansion of (log PI) in n 1.642 * [taylor]: Taking taylor expansion of PI in n 1.660 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 1.660 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 1.660 * [taylor]: Taking taylor expansion of 1.0 in n 1.660 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.660 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.660 * [taylor]: Taking taylor expansion of k in n 1.660 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.660 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.660 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.660 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.660 * [taylor]: Taking taylor expansion of 0.5 in n 1.660 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.660 * [taylor]: Taking taylor expansion of 1.0 in n 1.660 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.660 * [taylor]: Taking taylor expansion of k in n 1.660 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.660 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.660 * [taylor]: Taking taylor expansion of 2.0 in n 1.660 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.660 * [taylor]: Taking taylor expansion of PI in n 1.660 * [taylor]: Taking taylor expansion of n in n 1.661 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.661 * [taylor]: Taking taylor expansion of 1.0 in k 1.661 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.661 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.661 * [taylor]: Taking taylor expansion of k in k 1.661 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.661 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.661 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.661 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.661 * [taylor]: Taking taylor expansion of 0.5 in k 1.661 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.661 * [taylor]: Taking taylor expansion of 1.0 in k 1.661 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.661 * [taylor]: Taking taylor expansion of k in k 1.661 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.661 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.661 * [taylor]: Taking taylor expansion of 2.0 in k 1.661 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.661 * [taylor]: Taking taylor expansion of PI in k 1.661 * [taylor]: Taking taylor expansion of n in k 1.661 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.661 * [taylor]: Taking taylor expansion of 1.0 in k 1.661 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.661 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.661 * [taylor]: Taking taylor expansion of k in k 1.661 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.661 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.661 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.661 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.661 * [taylor]: Taking taylor expansion of 0.5 in k 1.661 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.661 * [taylor]: Taking taylor expansion of 1.0 in k 1.661 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.661 * [taylor]: Taking taylor expansion of k in k 1.661 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.661 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.661 * [taylor]: Taking taylor expansion of 2.0 in k 1.661 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.661 * [taylor]: Taking taylor expansion of PI in k 1.661 * [taylor]: Taking taylor expansion of n in k 1.662 * [taylor]: Taking taylor expansion of 0 in n 1.662 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.662 * [taylor]: Taking taylor expansion of 1.0 in n 1.662 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.662 * [taylor]: Taking taylor expansion of NAN in n 1.662 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.662 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.662 * [taylor]: Taking taylor expansion of 0.5 in n 1.662 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.662 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.662 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.662 * [taylor]: Taking taylor expansion of 2.0 in n 1.662 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.662 * [taylor]: Taking taylor expansion of PI in n 1.662 * [taylor]: Taking taylor expansion of n in n 1.662 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.662 * [taylor]: Taking taylor expansion of 1.0 in n 1.662 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.662 * [taylor]: Taking taylor expansion of k in n 1.664 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.664 * [taylor]: Taking taylor expansion of 1.0 in n 1.664 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.664 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.664 * [taylor]: Taking taylor expansion of NAN in n 1.664 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.664 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.664 * [taylor]: Taking taylor expansion of 0.5 in n 1.664 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.664 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.664 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.664 * [taylor]: Taking taylor expansion of 2.0 in n 1.664 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.664 * [taylor]: Taking taylor expansion of PI in n 1.664 * [taylor]: Taking taylor expansion of n in n 1.664 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.664 * [taylor]: Taking taylor expansion of 1.0 in n 1.664 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.664 * [taylor]: Taking taylor expansion of k in n 1.666 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.666 * [taylor]: Taking taylor expansion of 1.0 in n 1.666 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.666 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.666 * [taylor]: Taking taylor expansion of NAN in n 1.666 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.666 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.666 * [taylor]: Taking taylor expansion of 0.5 in n 1.666 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.666 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.666 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.666 * [taylor]: Taking taylor expansion of 2.0 in n 1.666 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.667 * [taylor]: Taking taylor expansion of PI in n 1.667 * [taylor]: Taking taylor expansion of n in n 1.667 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.667 * [taylor]: Taking taylor expansion of 1.0 in n 1.667 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.667 * [taylor]: Taking taylor expansion of k in n 1.668 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 1.668 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 1.668 * [taylor]: Taking taylor expansion of 1.0 in n 1.668 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 1.668 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.668 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.668 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.669 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.669 * [taylor]: Taking taylor expansion of 0.5 in n 1.669 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.669 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.669 * [taylor]: Taking taylor expansion of k in n 1.669 * [taylor]: Taking taylor expansion of 1.0 in n 1.669 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.669 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.669 * [taylor]: Taking taylor expansion of -2.0 in n 1.669 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.669 * [taylor]: Taking taylor expansion of PI in n 1.669 * [taylor]: Taking taylor expansion of n in n 1.669 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.669 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.669 * [taylor]: Taking taylor expansion of -1 in n 1.669 * [taylor]: Taking taylor expansion of k in n 1.669 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.669 * [taylor]: Taking taylor expansion of 1.0 in k 1.669 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.669 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.669 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.669 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.669 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.669 * [taylor]: Taking taylor expansion of 0.5 in k 1.669 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.669 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.669 * [taylor]: Taking taylor expansion of k in k 1.670 * [taylor]: Taking taylor expansion of 1.0 in k 1.670 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.670 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.670 * [taylor]: Taking taylor expansion of -2.0 in k 1.670 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.670 * [taylor]: Taking taylor expansion of PI in k 1.670 * [taylor]: Taking taylor expansion of n in k 1.670 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.670 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.670 * [taylor]: Taking taylor expansion of -1 in k 1.670 * [taylor]: Taking taylor expansion of k in k 1.670 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.670 * [taylor]: Taking taylor expansion of 1.0 in k 1.670 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.670 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.670 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.670 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.670 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.670 * [taylor]: Taking taylor expansion of 0.5 in k 1.670 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.670 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.670 * [taylor]: Taking taylor expansion of k in k 1.670 * [taylor]: Taking taylor expansion of 1.0 in k 1.670 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.670 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.670 * [taylor]: Taking taylor expansion of -2.0 in k 1.670 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.670 * [taylor]: Taking taylor expansion of PI in k 1.670 * [taylor]: Taking taylor expansion of n in k 1.671 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.671 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.671 * [taylor]: Taking taylor expansion of -1 in k 1.671 * [taylor]: Taking taylor expansion of k in k 1.671 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 1.671 * [taylor]: Taking taylor expansion of 1.0 in n 1.671 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 1.671 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.671 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.671 * [taylor]: Taking taylor expansion of 0.5 in n 1.671 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.671 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.671 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.671 * [taylor]: Taking taylor expansion of k in n 1.671 * [taylor]: Taking taylor expansion of 1.0 in n 1.671 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.671 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.671 * [taylor]: Taking taylor expansion of -2.0 in n 1.671 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.671 * [taylor]: Taking taylor expansion of PI in n 1.671 * [taylor]: Taking taylor expansion of n in n 1.671 * [taylor]: Taking taylor expansion of NAN in n 1.672 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN))) in n 1.672 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 1.672 * [taylor]: Taking taylor expansion of 1.0 in n 1.672 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 1.672 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.672 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.672 * [taylor]: Taking taylor expansion of 0.5 in n 1.672 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.673 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.673 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.673 * [taylor]: Taking taylor expansion of k in n 1.673 * [taylor]: Taking taylor expansion of 1.0 in n 1.673 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.673 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.673 * [taylor]: Taking taylor expansion of -2.0 in n 1.673 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.673 * [taylor]: Taking taylor expansion of PI in n 1.673 * [taylor]: Taking taylor expansion of n in n 1.673 * [taylor]: Taking taylor expansion of NAN in n 1.675 * [taylor]: Taking taylor expansion of 0 in n 1.677 * [taylor]: Taking taylor expansion of 0 in n 1.678 * * * [progress]: simplifying candidates 1.680 * [simplify]: Simplifying using # : (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 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(- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k))) 1.690 * * [simplify]: iteration 0 : 953 enodes (cost 1493 ) 1.707 * * [simplify]: iteration 1 : 4234 enodes (cost 1364 ) 1.776 * * [simplify]: iteration 2 : 5002 enodes (cost 1350 ) 1.784 * [simplify]: Simplified to: (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) 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(* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n)))) (* 0.5 (* k (* NAN (log n))))))) (* 1.0 (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2)) (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 3))))) (* 1.0 (+ (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN) (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k))) 1.785 * * * [progress]: adding candidates to table 2.053 * * [progress]: iteration 2 / 4 2.053 * * * [progress]: picking best candidate 2.097 * * * * [pick]: Picked # 2.097 * * * [progress]: localizing error 2.112 * * * [progress]: generating rewritten candidates 2.112 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.127 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.132 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.137 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.173 * * * [progress]: generating series expansions 2.173 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.174 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.174 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.174 * [taylor]: Taking taylor expansion of 1.0 in k 2.174 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.174 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.174 * [taylor]: Taking taylor expansion of k in k 2.174 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.174 * [taylor]: Taking taylor expansion of 1.0 in k 2.174 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.174 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.174 * [taylor]: Taking taylor expansion of k in k 2.175 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.175 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.175 * [taylor]: Taking taylor expansion of 1.0 in k 2.175 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.175 * [taylor]: Taking taylor expansion of k in k 2.175 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.175 * [taylor]: Taking taylor expansion of 1.0 in k 2.175 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.175 * [taylor]: Taking taylor expansion of k in k 2.176 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.176 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.176 * [taylor]: Taking taylor expansion of 1.0 in k 2.176 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.176 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.176 * [taylor]: Taking taylor expansion of -1 in k 2.176 * [taylor]: Taking taylor expansion of k in k 2.176 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.176 * [taylor]: Taking taylor expansion of 1.0 in k 2.176 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.176 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.176 * [taylor]: Taking taylor expansion of -1 in k 2.176 * [taylor]: Taking taylor expansion of k in k 2.181 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.181 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 2.181 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 2.181 * [taylor]: Taking taylor expansion of 1.0 in k 2.181 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 2.181 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 2.181 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 2.181 * [taylor]: Taking taylor expansion of 1/4 in k 2.181 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.181 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.181 * [taylor]: Taking taylor expansion of k in k 2.181 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 2.181 * [taylor]: Taking taylor expansion of 1.0 in k 2.182 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 2.182 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 2.182 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 2.182 * [taylor]: Taking taylor expansion of 1/4 in k 2.182 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.182 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.182 * [taylor]: Taking taylor expansion of k in k 2.188 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 2.188 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 2.188 * [taylor]: Taking taylor expansion of 1.0 in k 2.188 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 2.188 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 2.188 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 2.188 * [taylor]: Taking taylor expansion of 1/4 in k 2.188 * [taylor]: Taking taylor expansion of (log k) in k 2.189 * [taylor]: Taking taylor expansion of k in k 2.189 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 2.189 * [taylor]: Taking taylor expansion of 1.0 in k 2.189 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 2.189 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 2.189 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 2.189 * [taylor]: Taking taylor expansion of 1/4 in k 2.189 * [taylor]: Taking taylor expansion of (log k) in k 2.189 * [taylor]: Taking taylor expansion of k in k 2.195 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 2.195 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 2.195 * [taylor]: Taking taylor expansion of 1.0 in k 2.195 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 2.195 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 2.195 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.195 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.195 * [taylor]: Taking taylor expansion of -1 in k 2.195 * [taylor]: Taking taylor expansion of k in k 2.195 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 2.195 * [taylor]: Taking taylor expansion of 1.0 in k 2.195 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 2.195 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 2.195 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.195 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.195 * [taylor]: Taking taylor expansion of -1 in k 2.196 * [taylor]: Taking taylor expansion of k in k 2.197 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.197 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.197 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.197 * [taylor]: Taking taylor expansion of 2.0 in n 2.197 * [taylor]: Taking taylor expansion of (* n PI) in n 2.197 * [taylor]: Taking taylor expansion of n in n 2.197 * [taylor]: Taking taylor expansion of PI in n 2.197 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.197 * [taylor]: Taking taylor expansion of 2.0 in n 2.197 * [taylor]: Taking taylor expansion of (* n PI) in n 2.197 * [taylor]: Taking taylor expansion of n in n 2.197 * [taylor]: Taking taylor expansion of PI in n 2.198 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.198 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.198 * [taylor]: Taking taylor expansion of 2.0 in n 2.198 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.198 * [taylor]: Taking taylor expansion of PI in n 2.198 * [taylor]: Taking taylor expansion of n in n 2.198 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.198 * [taylor]: Taking taylor expansion of 2.0 in n 2.198 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.198 * [taylor]: Taking taylor expansion of PI in n 2.198 * [taylor]: Taking taylor expansion of n in n 2.199 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.199 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.199 * [taylor]: Taking taylor expansion of -2.0 in n 2.199 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.199 * [taylor]: Taking taylor expansion of PI in n 2.199 * [taylor]: Taking taylor expansion of n in n 2.199 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.199 * [taylor]: Taking taylor expansion of -2.0 in n 2.199 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.199 * [taylor]: Taking taylor expansion of PI in n 2.199 * [taylor]: Taking taylor expansion of n in n 2.200 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.200 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.200 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.200 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.200 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.200 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.200 * [taylor]: Taking taylor expansion of 0.5 in k 2.200 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.200 * [taylor]: Taking taylor expansion of 1.0 in k 2.200 * [taylor]: Taking taylor expansion of k in k 2.200 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.200 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.200 * [taylor]: Taking taylor expansion of 2.0 in k 2.200 * [taylor]: Taking taylor expansion of (* n PI) in k 2.200 * [taylor]: Taking taylor expansion of n in k 2.200 * [taylor]: Taking taylor expansion of PI in k 2.201 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.201 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.201 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.201 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.201 * [taylor]: Taking taylor expansion of 0.5 in n 2.201 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.201 * [taylor]: Taking taylor expansion of 1.0 in n 2.201 * [taylor]: Taking taylor expansion of k in n 2.201 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.201 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.201 * [taylor]: Taking taylor expansion of 2.0 in n 2.201 * [taylor]: Taking taylor expansion of (* n PI) in n 2.201 * [taylor]: Taking taylor expansion of n in n 2.201 * [taylor]: Taking taylor expansion of PI in n 2.201 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.201 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.201 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.201 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.201 * [taylor]: Taking taylor expansion of 0.5 in n 2.201 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.201 * [taylor]: Taking taylor expansion of 1.0 in n 2.201 * [taylor]: Taking taylor expansion of k in n 2.201 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.201 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.201 * [taylor]: Taking taylor expansion of 2.0 in n 2.201 * [taylor]: Taking taylor expansion of (* n PI) in n 2.201 * [taylor]: Taking taylor expansion of n in n 2.201 * [taylor]: Taking taylor expansion of PI in n 2.202 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.202 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.202 * [taylor]: Taking taylor expansion of 0.5 in k 2.202 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.202 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.202 * [taylor]: Taking taylor expansion of 1.0 in k 2.202 * [taylor]: Taking taylor expansion of k in k 2.202 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.202 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.202 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.202 * [taylor]: Taking taylor expansion of 2.0 in k 2.202 * [taylor]: Taking taylor expansion of PI in k 2.202 * [taylor]: Taking taylor expansion of (log n) in k 2.202 * [taylor]: Taking taylor expansion of n in k 2.203 * [taylor]: Taking taylor expansion of 0 in k 2.204 * [taylor]: Taking taylor expansion of 0 in k 2.212 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.212 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.212 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.212 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.212 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.212 * [taylor]: Taking taylor expansion of 0.5 in k 2.212 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.212 * [taylor]: Taking taylor expansion of 1.0 in k 2.212 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.212 * [taylor]: Taking taylor expansion of k in k 2.212 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.212 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.212 * [taylor]: Taking taylor expansion of 2.0 in k 2.212 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.212 * [taylor]: Taking taylor expansion of PI in k 2.212 * [taylor]: Taking taylor expansion of n in k 2.212 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.212 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.212 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.212 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.212 * [taylor]: Taking taylor expansion of 0.5 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 2.212 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.212 * [taylor]: Taking taylor expansion of k in n 2.212 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.212 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.213 * [taylor]: Taking taylor expansion of 2.0 in n 2.213 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.213 * [taylor]: Taking taylor expansion of PI in n 2.213 * [taylor]: Taking taylor expansion of n in n 2.213 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.213 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.213 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.213 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.213 * [taylor]: Taking taylor expansion of 0.5 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 2.213 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.213 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.213 * [taylor]: Taking taylor expansion of 2.0 in n 2.213 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.213 * [taylor]: Taking taylor expansion of PI in n 2.213 * [taylor]: Taking taylor expansion of n in n 2.213 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.214 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.214 * [taylor]: Taking taylor expansion of 0.5 in k 2.214 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.214 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.214 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.214 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.214 * [taylor]: Taking taylor expansion of 2.0 in k 2.214 * [taylor]: Taking taylor expansion of PI in k 2.214 * [taylor]: Taking taylor expansion of (log n) in k 2.214 * [taylor]: Taking taylor expansion of n in k 2.214 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.214 * [taylor]: Taking taylor expansion of 1.0 in k 2.214 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.214 * [taylor]: Taking taylor expansion of k in k 2.215 * [taylor]: Taking taylor expansion of 0 in k 2.215 * [taylor]: Taking taylor expansion of 0 in k 2.216 * [taylor]: Taking taylor expansion of 0 in k 2.217 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.217 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.217 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.217 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.217 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.217 * [taylor]: Taking taylor expansion of 0.5 in k 2.217 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.217 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.217 * [taylor]: Taking taylor expansion of k in k 2.217 * [taylor]: Taking taylor expansion of 1.0 in k 2.217 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.217 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.217 * [taylor]: Taking taylor expansion of -2.0 in k 2.217 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.217 * [taylor]: Taking taylor expansion of PI in k 2.217 * [taylor]: Taking taylor expansion of n in k 2.217 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.217 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.217 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.217 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.217 * [taylor]: Taking taylor expansion of 0.5 in n 2.217 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.217 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.217 * [taylor]: Taking taylor expansion of k in n 2.217 * [taylor]: Taking taylor expansion of 1.0 in n 2.217 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.217 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.217 * [taylor]: Taking taylor expansion of -2.0 in n 2.217 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.217 * [taylor]: Taking taylor expansion of PI in n 2.217 * [taylor]: Taking taylor expansion of n in n 2.218 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.218 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.218 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.218 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.218 * [taylor]: Taking taylor expansion of 0.5 in n 2.218 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 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 1.0 in n 2.218 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.218 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.218 * [taylor]: Taking taylor expansion of -2.0 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 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.218 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.218 * [taylor]: Taking taylor expansion of 0.5 in k 2.218 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.218 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.218 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.218 * [taylor]: Taking taylor expansion of k in k 2.218 * [taylor]: Taking taylor expansion of 1.0 in k 2.218 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.218 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.218 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.218 * [taylor]: Taking taylor expansion of -2.0 in k 2.219 * [taylor]: Taking taylor expansion of PI in k 2.219 * [taylor]: Taking taylor expansion of (log n) in k 2.219 * [taylor]: Taking taylor expansion of n in k 2.219 * [taylor]: Taking taylor expansion of 0 in k 2.220 * [taylor]: Taking taylor expansion of 0 in k 2.221 * [taylor]: Taking taylor expansion of 0 in k 2.221 * * * [progress]: simplifying candidates 2.229 * [simplify]: Simplifying using # : (- (- (log 1.0) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (log (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (exp (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (neg (/ 1.0 (sqrt (sqrt k)))) (neg (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt 1)) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) 1) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt 1)) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) 1) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) 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2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (* (pow (/ 1 k) 1/4) 1.0) (* (pow (/ 1 k) 1/4) 1.0) (- (+ (* 0.5 (* (/ 1 k) (sqrt (pow NAN 3)))) (* 1.0 (sqrt (/ 1 NAN)))) (* 0.125 (* (/ 1 (pow k 2)) (sqrt (pow NAN 7))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2.295 * * * [progress]: adding candidates to table 2.672 * * [progress]: iteration 3 / 4 2.672 * * * [progress]: picking best candidate 2.711 * * * * [pick]: Picked # 2.711 * * * [progress]: localizing error 2.733 * * * [progress]: generating rewritten candidates 2.733 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.745 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.749 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.758 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.780 * * * [progress]: generating series expansions 2.780 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.781 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.781 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.781 * [taylor]: Taking taylor expansion of 1.0 in k 2.781 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.781 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.781 * [taylor]: Taking taylor expansion of k in k 2.781 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.781 * [taylor]: Taking taylor expansion of 1.0 in k 2.781 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.781 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.781 * [taylor]: Taking taylor expansion of k in k 2.782 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.782 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.782 * [taylor]: Taking taylor expansion of 1.0 in k 2.782 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.782 * [taylor]: Taking taylor expansion of k in k 2.782 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.782 * [taylor]: Taking taylor expansion of 1.0 in k 2.782 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.782 * [taylor]: Taking taylor expansion of k in k 2.783 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* -1 k) 1/4) (sqrt (/ 1 (sqrt (/ -1 k)))))) in (k) around 0 2.783 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* -1 k) 1/4) (sqrt (/ 1 (sqrt (/ -1 k)))))) in k 2.783 * [taylor]: Taking taylor expansion of 1.0 in k 2.783 * [taylor]: Taking taylor expansion of (* (pow (* -1 k) 1/4) (sqrt (/ 1 (sqrt (/ -1 k))))) in k 2.783 * [taylor]: Taking taylor expansion of (pow (* -1 k) 1/4) in k 2.783 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* -1 k)))) in k 2.783 * [taylor]: Taking taylor expansion of (* 1/4 (log (* -1 k))) in k 2.783 * [taylor]: Taking taylor expansion of 1/4 in k 2.783 * [taylor]: Taking taylor expansion of (log (* -1 k)) in k 2.783 * [taylor]: Taking taylor expansion of (* -1 k) in k 2.783 * [taylor]: Taking taylor expansion of -1 in k 2.783 * [taylor]: Taking taylor expansion of k in k 2.784 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 2.784 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 2.784 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.784 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.784 * [taylor]: Taking taylor expansion of -1 in k 2.784 * [taylor]: Taking taylor expansion of k in k 2.784 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* -1 k) 1/4) (sqrt (/ 1 (sqrt (/ -1 k)))))) in k 2.784 * [taylor]: Taking taylor expansion of 1.0 in k 2.784 * [taylor]: Taking taylor expansion of (* (pow (* -1 k) 1/4) (sqrt (/ 1 (sqrt (/ -1 k))))) in k 2.784 * [taylor]: Taking taylor expansion of (pow (* -1 k) 1/4) in k 2.784 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* -1 k)))) in k 2.784 * [taylor]: Taking taylor expansion of (* 1/4 (log (* -1 k))) in k 2.784 * [taylor]: Taking taylor expansion of 1/4 in k 2.784 * [taylor]: Taking taylor expansion of (log (* -1 k)) in k 2.784 * [taylor]: Taking taylor expansion of (* -1 k) in k 2.784 * [taylor]: Taking taylor expansion of -1 in k 2.784 * [taylor]: Taking taylor expansion of k in k 2.784 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 2.784 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 2.784 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.784 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.784 * [taylor]: Taking taylor expansion of -1 in k 2.784 * [taylor]: Taking taylor expansion of k in k 2.788 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.788 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.788 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.788 * [taylor]: Taking taylor expansion of 2.0 in n 2.788 * [taylor]: Taking taylor expansion of (* n PI) in n 2.788 * [taylor]: Taking taylor expansion of n in n 2.788 * [taylor]: Taking taylor expansion of PI in n 2.788 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.788 * [taylor]: Taking taylor expansion of 2.0 in n 2.788 * [taylor]: Taking taylor expansion of (* n PI) in n 2.788 * [taylor]: Taking taylor expansion of n in n 2.788 * [taylor]: Taking taylor expansion of PI in n 2.789 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.789 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.789 * [taylor]: Taking taylor expansion of 2.0 in n 2.789 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.789 * [taylor]: Taking taylor expansion of PI in n 2.789 * [taylor]: Taking taylor expansion of n in n 2.789 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.789 * [taylor]: Taking taylor expansion of 2.0 in n 2.789 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.789 * [taylor]: Taking taylor expansion of PI in n 2.789 * [taylor]: Taking taylor expansion of n in n 2.790 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.790 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.790 * [taylor]: Taking taylor expansion of -2.0 in n 2.790 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.790 * [taylor]: Taking taylor expansion of PI in n 2.790 * [taylor]: Taking taylor expansion of n in n 2.790 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.790 * [taylor]: Taking taylor expansion of -2.0 in n 2.790 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.790 * [taylor]: Taking taylor expansion of PI in n 2.790 * [taylor]: Taking taylor expansion of n in n 2.791 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.791 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.791 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.791 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.791 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.791 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.791 * [taylor]: Taking taylor expansion of 0.5 in k 2.791 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.791 * [taylor]: Taking taylor expansion of 1.0 in k 2.791 * [taylor]: Taking taylor expansion of k in k 2.791 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.791 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.791 * [taylor]: Taking taylor expansion of 2.0 in k 2.791 * [taylor]: Taking taylor expansion of (* n PI) in k 2.791 * [taylor]: Taking taylor expansion of n in k 2.791 * [taylor]: Taking taylor expansion of PI in k 2.791 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.791 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.792 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.792 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.792 * [taylor]: Taking taylor expansion of 0.5 in n 2.792 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.792 * [taylor]: Taking taylor expansion of 1.0 in n 2.792 * [taylor]: Taking taylor expansion of k in n 2.792 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.792 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.792 * [taylor]: Taking taylor expansion of 2.0 in n 2.792 * [taylor]: Taking taylor expansion of (* n PI) in n 2.792 * [taylor]: Taking taylor expansion of n in n 2.792 * [taylor]: Taking taylor expansion of PI in n 2.792 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.792 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.792 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.792 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.792 * [taylor]: Taking taylor expansion of 0.5 in n 2.792 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.792 * [taylor]: Taking taylor expansion of 1.0 in n 2.792 * [taylor]: Taking taylor expansion of k in n 2.792 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.792 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.792 * [taylor]: Taking taylor expansion of 2.0 in n 2.792 * [taylor]: Taking taylor expansion of (* n PI) in n 2.792 * [taylor]: Taking taylor expansion of n in n 2.792 * [taylor]: Taking taylor expansion of PI in n 2.793 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.793 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.793 * [taylor]: Taking taylor expansion of 0.5 in k 2.793 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.793 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.793 * [taylor]: Taking taylor expansion of 1.0 in k 2.793 * [taylor]: Taking taylor expansion of k in k 2.793 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.793 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.793 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.793 * [taylor]: Taking taylor expansion of 2.0 in k 2.793 * [taylor]: Taking taylor expansion of PI in k 2.793 * [taylor]: Taking taylor expansion of (log n) in k 2.793 * [taylor]: Taking taylor expansion of n in k 2.793 * [taylor]: Taking taylor expansion of 0 in k 2.795 * [taylor]: Taking taylor expansion of 0 in k 2.797 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.797 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.797 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.797 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.797 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.797 * [taylor]: Taking taylor expansion of 0.5 in k 2.797 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.797 * [taylor]: Taking taylor expansion of 1.0 in k 2.797 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.797 * [taylor]: Taking taylor expansion of k in k 2.797 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.797 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.797 * [taylor]: Taking taylor expansion of 2.0 in k 2.797 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.797 * [taylor]: Taking taylor expansion of PI in k 2.797 * [taylor]: Taking taylor expansion of n in k 2.797 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.797 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.797 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.797 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.797 * [taylor]: Taking taylor expansion of 0.5 in n 2.797 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.797 * [taylor]: Taking taylor expansion of 1.0 in n 2.797 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.797 * [taylor]: Taking taylor expansion of k in n 2.797 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.797 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.797 * [taylor]: Taking taylor expansion of 2.0 in n 2.797 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.798 * [taylor]: Taking taylor expansion of PI in n 2.798 * [taylor]: Taking taylor expansion of n in n 2.798 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.798 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.798 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.798 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.798 * [taylor]: Taking taylor expansion of 0.5 in n 2.798 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.798 * [taylor]: Taking taylor expansion of 1.0 in n 2.798 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.798 * [taylor]: Taking taylor expansion of k in n 2.798 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.798 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.798 * [taylor]: Taking taylor expansion of 2.0 in n 2.798 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.798 * [taylor]: Taking taylor expansion of PI in n 2.798 * [taylor]: Taking taylor expansion of n in n 2.798 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.798 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.799 * [taylor]: Taking taylor expansion of 0.5 in k 2.799 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.799 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.799 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.799 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.799 * [taylor]: Taking taylor expansion of 2.0 in k 2.799 * [taylor]: Taking taylor expansion of PI in k 2.799 * [taylor]: Taking taylor expansion of (log n) in k 2.799 * [taylor]: Taking taylor expansion of n in k 2.799 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.799 * [taylor]: Taking taylor expansion of 1.0 in k 2.799 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.799 * [taylor]: Taking taylor expansion of k in k 2.800 * [taylor]: Taking taylor expansion of 0 in k 2.800 * [taylor]: Taking taylor expansion of 0 in k 2.801 * [taylor]: Taking taylor expansion of 0 in k 2.801 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.802 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.802 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.802 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.802 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.802 * [taylor]: Taking taylor expansion of 0.5 in k 2.802 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.802 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.802 * [taylor]: Taking taylor expansion of k in k 2.802 * [taylor]: Taking taylor expansion of 1.0 in k 2.802 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.802 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.802 * [taylor]: Taking taylor expansion of -2.0 in k 2.802 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.802 * [taylor]: Taking taylor expansion of PI in k 2.802 * [taylor]: Taking taylor expansion of n in k 2.802 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.802 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.802 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.802 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.802 * [taylor]: Taking taylor expansion of 0.5 in n 2.802 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.802 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.802 * [taylor]: Taking taylor expansion of k in n 2.802 * [taylor]: Taking taylor expansion of 1.0 in n 2.802 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.802 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.802 * [taylor]: Taking taylor expansion of -2.0 in n 2.802 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.802 * [taylor]: Taking taylor expansion of PI in n 2.802 * [taylor]: Taking taylor expansion of n in n 2.803 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.803 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.803 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.803 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.803 * [taylor]: Taking taylor expansion of 0.5 in n 2.803 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.803 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.803 * [taylor]: Taking taylor expansion of k in n 2.803 * [taylor]: Taking taylor expansion of 1.0 in n 2.803 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.803 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.803 * [taylor]: Taking taylor expansion of -2.0 in n 2.803 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.803 * [taylor]: Taking taylor expansion of PI in n 2.803 * [taylor]: Taking taylor expansion of n in n 2.803 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.803 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.803 * [taylor]: Taking taylor expansion of 0.5 in k 2.803 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.803 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.803 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.803 * [taylor]: Taking taylor expansion of k in k 2.803 * [taylor]: Taking taylor expansion of 1.0 in k 2.803 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.803 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.803 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.803 * [taylor]: Taking taylor expansion of -2.0 in k 2.803 * [taylor]: Taking taylor expansion of PI in k 2.803 * [taylor]: Taking taylor expansion of (log n) in k 2.803 * [taylor]: Taking taylor expansion of n in k 2.804 * [taylor]: Taking taylor expansion of 0 in k 2.805 * [taylor]: Taking taylor expansion of 0 in k 2.806 * [taylor]: Taking taylor expansion of 0 in k 2.806 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.806 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 2.806 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 2.806 * [taylor]: Taking taylor expansion of 1.0 in n 2.806 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.806 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.806 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.806 * [taylor]: Taking taylor expansion of k in n 2.807 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.807 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.807 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.807 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.807 * [taylor]: Taking taylor expansion of 0.5 in n 2.807 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.807 * [taylor]: Taking taylor expansion of 1.0 in n 2.807 * [taylor]: Taking taylor expansion of k in n 2.807 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.807 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.807 * [taylor]: Taking taylor expansion of 2.0 in n 2.807 * [taylor]: Taking taylor expansion of (* n PI) in n 2.807 * [taylor]: Taking taylor expansion of n in n 2.807 * [taylor]: Taking taylor expansion of PI in n 2.807 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.807 * [taylor]: Taking taylor expansion of 1.0 in k 2.807 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.807 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.807 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.807 * [taylor]: Taking taylor expansion of k in k 2.807 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.807 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.807 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.807 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.807 * [taylor]: Taking taylor expansion of 0.5 in k 2.807 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.807 * [taylor]: Taking taylor expansion of 1.0 in k 2.807 * [taylor]: Taking taylor expansion of k in k 2.807 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.807 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.807 * [taylor]: Taking taylor expansion of 2.0 in k 2.807 * [taylor]: Taking taylor expansion of (* n PI) in k 2.807 * [taylor]: Taking taylor expansion of n in k 2.807 * [taylor]: Taking taylor expansion of PI in k 2.808 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.808 * [taylor]: Taking taylor expansion of 1.0 in k 2.808 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.808 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.808 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.808 * [taylor]: Taking taylor expansion of k in k 2.808 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.808 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.808 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.808 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.808 * [taylor]: Taking taylor expansion of 0.5 in k 2.808 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.808 * [taylor]: Taking taylor expansion of 1.0 in k 2.808 * [taylor]: Taking taylor expansion of k in k 2.808 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.808 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.808 * [taylor]: Taking taylor expansion of 2.0 in k 2.808 * [taylor]: Taking taylor expansion of (* n PI) in k 2.808 * [taylor]: Taking taylor expansion of n in k 2.808 * [taylor]: Taking taylor expansion of PI in k 2.808 * [taylor]: Taking taylor expansion of 0 in n 2.809 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.809 * [taylor]: Taking taylor expansion of 1.0 in n 2.809 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.809 * [taylor]: Taking taylor expansion of NAN in n 2.809 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.809 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.809 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.809 * [taylor]: Taking taylor expansion of 0.5 in n 2.809 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.809 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.809 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.809 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.809 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.809 * [taylor]: Taking taylor expansion of 1.0 in n 2.809 * [taylor]: Taking taylor expansion of (log PI) in n 2.809 * [taylor]: Taking taylor expansion of PI in n 2.809 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.809 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.810 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.810 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.810 * [taylor]: Taking taylor expansion of 1.0 in n 2.810 * [taylor]: Taking taylor expansion of (log n) in n 2.810 * [taylor]: Taking taylor expansion of n in n 2.810 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.810 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.810 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.810 * [taylor]: Taking taylor expansion of 1.0 in n 2.810 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.810 * [taylor]: Taking taylor expansion of 2.0 in n 2.813 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 2.814 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) in n 2.814 * [taylor]: Taking taylor expansion of 1.0 in n 2.814 * [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 2.814 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.814 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.814 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.814 * [taylor]: Taking taylor expansion of 0.5 in n 2.814 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.814 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.814 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.814 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.814 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.814 * [taylor]: Taking taylor expansion of 1.0 in n 2.814 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.814 * [taylor]: Taking taylor expansion of 2.0 in n 2.814 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.814 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.814 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.814 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.814 * [taylor]: Taking taylor expansion of 1.0 in n 2.814 * [taylor]: Taking taylor expansion of (log n) in n 2.814 * [taylor]: Taking taylor expansion of n in n 2.814 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.814 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.814 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.814 * [taylor]: Taking taylor expansion of 1.0 in n 2.814 * [taylor]: Taking taylor expansion of (log PI) in n 2.814 * [taylor]: Taking taylor expansion of PI in n 2.815 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.815 * [taylor]: Taking taylor expansion of NAN in n 2.815 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.815 * [taylor]: Taking taylor expansion of 0.5 in n 2.815 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.815 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 2.815 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.815 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.815 * [taylor]: Taking taylor expansion of 2.0 in n 2.815 * [taylor]: Taking taylor expansion of (* n PI) in n 2.815 * [taylor]: Taking taylor expansion of n in n 2.815 * [taylor]: Taking taylor expansion of PI in n 2.815 * [taylor]: Taking taylor expansion of NAN in n 2.815 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.815 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.815 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.815 * [taylor]: Taking taylor expansion of 0.5 in n 2.815 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.815 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.815 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.815 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.815 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.815 * [taylor]: Taking taylor expansion of 1.0 in n 2.815 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.815 * [taylor]: Taking taylor expansion of 2.0 in n 2.816 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.816 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.816 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.816 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.816 * [taylor]: Taking taylor expansion of 1.0 in n 2.816 * [taylor]: Taking taylor expansion of (log n) in n 2.816 * [taylor]: Taking taylor expansion of n in n 2.816 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.816 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.816 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.816 * [taylor]: Taking taylor expansion of 1.0 in n 2.816 * [taylor]: Taking taylor expansion of (log PI) in n 2.816 * [taylor]: Taking taylor expansion of PI in n 2.829 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 2.830 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) in n 2.830 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.830 * [taylor]: Taking taylor expansion of 0.125 in n 2.830 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.830 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 2.830 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.830 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.830 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.830 * [taylor]: Taking taylor expansion of 2.0 in n 2.830 * [taylor]: Taking taylor expansion of (* n PI) in n 2.830 * [taylor]: Taking taylor expansion of n in n 2.830 * [taylor]: Taking taylor expansion of PI in n 2.830 * [taylor]: Taking taylor expansion of NAN in n 2.830 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.830 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.830 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.830 * [taylor]: Taking taylor expansion of 0.5 in n 2.830 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.830 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.830 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.830 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.830 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.830 * [taylor]: Taking taylor expansion of 1.0 in n 2.830 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.830 * [taylor]: Taking taylor expansion of 2.0 in n 2.830 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.830 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.830 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.830 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.830 * [taylor]: Taking taylor expansion of 1.0 in n 2.830 * [taylor]: Taking taylor expansion of (log n) in n 2.830 * [taylor]: Taking taylor expansion of n in n 2.830 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.831 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.831 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.831 * [taylor]: Taking taylor expansion of 1.0 in n 2.831 * [taylor]: Taking taylor expansion of (log PI) in n 2.831 * [taylor]: Taking taylor expansion of PI in n 2.831 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5))) in n 2.831 * [taylor]: Taking taylor expansion of 1.0 in n 2.831 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)) in n 2.831 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.831 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.831 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.831 * [taylor]: Taking taylor expansion of 0.5 in n 2.832 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.832 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.832 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.832 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.832 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.832 * [taylor]: Taking taylor expansion of 1.0 in n 2.832 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.832 * [taylor]: Taking taylor expansion of 2.0 in n 2.832 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.832 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.832 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.832 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.832 * [taylor]: Taking taylor expansion of 1.0 in n 2.832 * [taylor]: Taking taylor expansion of (log n) in n 2.832 * [taylor]: Taking taylor expansion of n in n 2.832 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.832 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.832 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.832 * [taylor]: Taking taylor expansion of 1.0 in n 2.832 * [taylor]: Taking taylor expansion of (log PI) in n 2.832 * [taylor]: Taking taylor expansion of PI in n 2.833 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 2.833 * [taylor]: Taking taylor expansion of NAN in n 2.833 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.833 * [taylor]: Taking taylor expansion of 0.5 in n 2.833 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.833 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 2.833 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.833 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.833 * [taylor]: Taking taylor expansion of 2.0 in n 2.833 * [taylor]: Taking taylor expansion of (* n PI) in n 2.833 * [taylor]: Taking taylor expansion of n in n 2.833 * [taylor]: Taking taylor expansion of PI in n 2.833 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.833 * [taylor]: Taking taylor expansion of NAN in n 2.833 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.833 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.833 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.833 * [taylor]: Taking taylor expansion of 0.5 in n 2.833 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.833 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.833 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.833 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.833 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.833 * [taylor]: Taking taylor expansion of 1.0 in n 2.833 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.833 * [taylor]: Taking taylor expansion of 2.0 in n 2.833 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.833 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.833 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.833 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.833 * [taylor]: Taking taylor expansion of 1.0 in n 2.833 * [taylor]: Taking taylor expansion of (log n) in n 2.833 * [taylor]: Taking taylor expansion of n in n 2.834 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.834 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.834 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.834 * [taylor]: Taking taylor expansion of 1.0 in n 2.834 * [taylor]: Taking taylor expansion of (log PI) in n 2.834 * [taylor]: Taking taylor expansion of PI in n 2.847 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 2.847 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.847 * [taylor]: Taking taylor expansion of 1.0 in n 2.847 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.847 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.847 * [taylor]: Taking taylor expansion of k in n 2.847 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.847 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.847 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.847 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.847 * [taylor]: Taking taylor expansion of 0.5 in n 2.847 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.847 * [taylor]: Taking taylor expansion of 1.0 in n 2.847 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.847 * [taylor]: Taking taylor expansion of k in n 2.847 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.847 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.847 * [taylor]: Taking taylor expansion of 2.0 in n 2.847 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.847 * [taylor]: Taking taylor expansion of PI in n 2.847 * [taylor]: Taking taylor expansion of n in n 2.848 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.848 * [taylor]: Taking taylor expansion of 1.0 in k 2.848 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.848 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.848 * [taylor]: Taking taylor expansion of k in k 2.848 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.848 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.848 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.848 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.848 * [taylor]: Taking taylor expansion of 0.5 in k 2.848 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.848 * [taylor]: Taking taylor expansion of 1.0 in k 2.848 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.848 * [taylor]: Taking taylor expansion of k in k 2.848 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.848 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.848 * [taylor]: Taking taylor expansion of 2.0 in k 2.848 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.848 * [taylor]: Taking taylor expansion of PI in k 2.848 * [taylor]: Taking taylor expansion of n in k 2.848 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.848 * [taylor]: Taking taylor expansion of 1.0 in k 2.848 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.848 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.848 * [taylor]: Taking taylor expansion of k in k 2.849 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.849 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.849 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.849 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.849 * [taylor]: Taking taylor expansion of 0.5 in k 2.849 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.849 * [taylor]: Taking taylor expansion of 1.0 in k 2.849 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.849 * [taylor]: Taking taylor expansion of k in k 2.849 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.849 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.849 * [taylor]: Taking taylor expansion of 2.0 in k 2.849 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.849 * [taylor]: Taking taylor expansion of PI in k 2.849 * [taylor]: Taking taylor expansion of n in k 2.849 * [taylor]: Taking taylor expansion of 0 in n 2.849 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.849 * [taylor]: Taking taylor expansion of 1.0 in n 2.849 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.849 * [taylor]: Taking taylor expansion of NAN in n 2.849 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.849 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.849 * [taylor]: Taking taylor expansion of 0.5 in n 2.850 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.850 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.850 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.850 * [taylor]: Taking taylor expansion of 2.0 in n 2.850 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.850 * [taylor]: Taking taylor expansion of PI in n 2.850 * [taylor]: Taking taylor expansion of n in n 2.850 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.850 * [taylor]: Taking taylor expansion of 1.0 in n 2.850 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.850 * [taylor]: Taking taylor expansion of k in n 2.851 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.851 * [taylor]: Taking taylor expansion of 1.0 in n 2.851 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.851 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.851 * [taylor]: Taking taylor expansion of NAN in n 2.851 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.851 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.851 * [taylor]: Taking taylor expansion of 0.5 in n 2.851 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.851 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.851 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.851 * [taylor]: Taking taylor expansion of 2.0 in n 2.851 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.851 * [taylor]: Taking taylor expansion of PI in n 2.851 * [taylor]: Taking taylor expansion of n in n 2.851 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.851 * [taylor]: Taking taylor expansion of 1.0 in n 2.851 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.851 * [taylor]: Taking taylor expansion of k in n 2.853 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.853 * [taylor]: Taking taylor expansion of 1.0 in n 2.854 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.854 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 2.854 * [taylor]: Taking taylor expansion of NAN in n 2.854 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.854 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.854 * [taylor]: Taking taylor expansion of 0.5 in n 2.854 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.854 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.854 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.854 * [taylor]: Taking taylor expansion of 2.0 in n 2.854 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.854 * [taylor]: Taking taylor expansion of PI in n 2.854 * [taylor]: Taking taylor expansion of n in n 2.854 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.854 * [taylor]: Taking taylor expansion of 1.0 in n 2.854 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.854 * [taylor]: Taking taylor expansion of k in n 2.856 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* -1 k) 1/4) (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))))) in (k n) around 0 2.856 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* -1 k) 1/4) (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))))) in n 2.856 * [taylor]: Taking taylor expansion of 1.0 in n 2.856 * [taylor]: Taking taylor expansion of (* (pow (* -1 k) 1/4) (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))) in n 2.856 * [taylor]: Taking taylor expansion of (pow (* -1 k) 1/4) in n 2.856 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* -1 k)))) in n 2.856 * [taylor]: Taking taylor expansion of (* 1/4 (log (* -1 k))) in n 2.856 * [taylor]: Taking taylor expansion of 1/4 in n 2.856 * [taylor]: Taking taylor expansion of (log (* -1 k)) in n 2.856 * [taylor]: Taking taylor expansion of (* -1 k) in n 2.856 * [taylor]: Taking taylor expansion of -1 in n 2.856 * [taylor]: Taking taylor expansion of k in n 2.856 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 2.856 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in n 2.856 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 2.856 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.856 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.856 * [taylor]: Taking taylor expansion of -1 in n 2.856 * [taylor]: Taking taylor expansion of k in n 2.856 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.856 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.856 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.856 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.856 * [taylor]: Taking taylor expansion of 0.5 in n 2.856 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.856 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.857 * [taylor]: Taking taylor expansion of k in n 2.857 * [taylor]: Taking taylor expansion of 1.0 in n 2.857 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.857 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.857 * [taylor]: Taking taylor expansion of -2.0 in n 2.857 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.857 * [taylor]: Taking taylor expansion of PI in n 2.857 * [taylor]: Taking taylor expansion of n in n 2.857 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* -1 k) 1/4) (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))))) in k 2.857 * [taylor]: Taking taylor expansion of 1.0 in k 2.857 * [taylor]: Taking taylor expansion of (* (pow (* -1 k) 1/4) (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))) in k 2.857 * [taylor]: Taking taylor expansion of (pow (* -1 k) 1/4) in k 2.857 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* -1 k)))) in k 2.857 * [taylor]: Taking taylor expansion of (* 1/4 (log (* -1 k))) in k 2.857 * [taylor]: Taking taylor expansion of 1/4 in k 2.857 * [taylor]: Taking taylor expansion of (log (* -1 k)) in k 2.857 * [taylor]: Taking taylor expansion of (* -1 k) in k 2.857 * [taylor]: Taking taylor expansion of -1 in k 2.857 * [taylor]: Taking taylor expansion of k in k 2.857 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.857 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 2.857 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 2.857 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.857 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.857 * [taylor]: Taking taylor expansion of -1 in k 2.857 * [taylor]: Taking taylor expansion of k in k 2.858 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.858 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.858 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.858 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.858 * [taylor]: Taking taylor expansion of 0.5 in k 2.858 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.858 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.858 * [taylor]: Taking taylor expansion of k in k 2.858 * [taylor]: Taking taylor expansion of 1.0 in k 2.858 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.858 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.858 * [taylor]: Taking taylor expansion of -2.0 in k 2.858 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.858 * [taylor]: Taking taylor expansion of PI in k 2.858 * [taylor]: Taking taylor expansion of n in k 2.858 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* -1 k) 1/4) (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))))) in k 2.858 * [taylor]: Taking taylor expansion of 1.0 in k 2.858 * [taylor]: Taking taylor expansion of (* (pow (* -1 k) 1/4) (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))) in k 2.858 * [taylor]: Taking taylor expansion of (pow (* -1 k) 1/4) in k 2.858 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* -1 k)))) in k 2.858 * [taylor]: Taking taylor expansion of (* 1/4 (log (* -1 k))) in k 2.858 * [taylor]: Taking taylor expansion of 1/4 in k 2.858 * [taylor]: Taking taylor expansion of (log (* -1 k)) in k 2.858 * [taylor]: Taking taylor expansion of (* -1 k) in k 2.858 * [taylor]: Taking taylor expansion of -1 in k 2.858 * [taylor]: Taking taylor expansion of k in k 2.859 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.859 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 2.859 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 2.859 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.859 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.859 * [taylor]: Taking taylor expansion of -1 in k 2.859 * [taylor]: Taking taylor expansion of k in k 2.859 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.859 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.859 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.859 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.859 * [taylor]: Taking taylor expansion of 0.5 in k 2.859 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.859 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.859 * [taylor]: Taking taylor expansion of k in k 2.859 * [taylor]: Taking taylor expansion of 1.0 in k 2.859 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.859 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.859 * [taylor]: Taking taylor expansion of -2.0 in k 2.859 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.859 * [taylor]: Taking taylor expansion of PI in k 2.859 * [taylor]: Taking taylor expansion of n in k 2.860 * [taylor]: Taking taylor expansion of (* 1.0 (* (* (exp (* 1/4 (+ (log (neg 1)) (log k)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (sqrt (/ 1 NAN)))) in n 2.860 * [taylor]: Taking taylor expansion of 1.0 in n 2.860 * [taylor]: Taking taylor expansion of (* (* (exp (* 1/4 (+ (log (neg 1)) (log k)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (sqrt (/ 1 NAN))) in n 2.860 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (+ (log (neg 1)) (log k)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.860 * [taylor]: Taking taylor expansion of (exp (* 1/4 (+ (log (neg 1)) (log k)))) in n 2.860 * [taylor]: Taking taylor expansion of (* 1/4 (+ (log (neg 1)) (log k))) in n 2.860 * [taylor]: Taking taylor expansion of 1/4 in n 2.860 * [taylor]: Taking taylor expansion of (+ (log (neg 1)) (log k)) in n 2.860 * [taylor]: Taking taylor expansion of (log (neg 1)) in n 2.860 * [taylor]: Taking taylor expansion of (neg 1) in n 2.860 * [taylor]: Taking taylor expansion of 1 in n 2.860 * [taylor]: Taking taylor expansion of (log k) in n 2.860 * [taylor]: Taking taylor expansion of k in n 2.860 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.860 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.860 * [taylor]: Taking taylor expansion of 0.5 in n 2.860 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.860 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.860 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.860 * [taylor]: Taking taylor expansion of k in n 2.860 * [taylor]: Taking taylor expansion of 1.0 in n 2.860 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.860 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.860 * [taylor]: Taking taylor expansion of -2.0 in n 2.860 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.860 * [taylor]: Taking taylor expansion of PI in n 2.860 * [taylor]: Taking taylor expansion of n in n 2.861 * [taylor]: Taking taylor expansion of (sqrt (/ 1 NAN)) in n 2.861 * [taylor]: Taking taylor expansion of (/ 1 NAN) in n 2.861 * [taylor]: Taking taylor expansion of NAN in n 2.863 * [taylor]: Taking taylor expansion of (neg (* 0.5 (* (* (exp (* 1/4 (+ (log (neg 1)) (log k)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (sqrt (pow NAN 3))))) in n 2.863 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (exp (* 1/4 (+ (log (neg 1)) (log k)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (sqrt (pow NAN 3)))) in n 2.863 * [taylor]: Taking taylor expansion of 0.5 in n 2.863 * [taylor]: Taking taylor expansion of (* (* (exp (* 1/4 (+ (log (neg 1)) (log k)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (sqrt (pow NAN 3))) in n 2.863 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (+ (log (neg 1)) (log k)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.863 * [taylor]: Taking taylor expansion of (exp (* 1/4 (+ (log (neg 1)) (log k)))) in n 2.863 * [taylor]: Taking taylor expansion of (* 1/4 (+ (log (neg 1)) (log k))) in n 2.863 * [taylor]: Taking taylor expansion of 1/4 in n 2.863 * [taylor]: Taking taylor expansion of (+ (log (neg 1)) (log k)) in n 2.863 * [taylor]: Taking taylor expansion of (log (neg 1)) in n 2.863 * [taylor]: Taking taylor expansion of (neg 1) in n 2.863 * [taylor]: Taking taylor expansion of 1 in n 2.863 * [taylor]: Taking taylor expansion of (log k) in n 2.863 * [taylor]: Taking taylor expansion of k in n 2.864 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.864 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.864 * [taylor]: Taking taylor expansion of 0.5 in n 2.864 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.864 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.864 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.864 * [taylor]: Taking taylor expansion of k in n 2.864 * [taylor]: Taking taylor expansion of 1.0 in n 2.864 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.864 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.864 * [taylor]: Taking taylor expansion of -2.0 in n 2.864 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.864 * [taylor]: Taking taylor expansion of PI in n 2.864 * [taylor]: Taking taylor expansion of n in n 2.864 * [taylor]: Taking taylor expansion of (sqrt (pow NAN 3)) in n 2.864 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.864 * [taylor]: Taking taylor expansion of NAN in n 2.869 * [taylor]: Taking taylor expansion of (neg (* 0.125 (* (* (exp (* 1/4 (+ (log (neg 1)) (log k)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (sqrt (pow NAN 7))))) in n 2.869 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (exp (* 1/4 (+ (log (neg 1)) (log k)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (sqrt (pow NAN 7)))) in n 2.869 * [taylor]: Taking taylor expansion of 0.125 in n 2.869 * [taylor]: Taking taylor expansion of (* (* (exp (* 1/4 (+ (log (neg 1)) (log k)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (sqrt (pow NAN 7))) in n 2.869 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (+ (log (neg 1)) (log k)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.869 * [taylor]: Taking taylor expansion of (exp (* 1/4 (+ (log (neg 1)) (log k)))) in n 2.869 * [taylor]: Taking taylor expansion of (* 1/4 (+ (log (neg 1)) (log k))) in n 2.869 * [taylor]: Taking taylor expansion of 1/4 in n 2.869 * [taylor]: Taking taylor expansion of (+ (log (neg 1)) (log k)) in n 2.869 * [taylor]: Taking taylor expansion of (log (neg 1)) in n 2.869 * [taylor]: Taking taylor expansion of (neg 1) in n 2.869 * [taylor]: Taking taylor expansion of 1 in n 2.869 * [taylor]: Taking taylor expansion of (log k) in n 2.869 * [taylor]: Taking taylor expansion of k in n 2.870 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.870 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.870 * [taylor]: Taking taylor expansion of 0.5 in n 2.870 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.870 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.870 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.870 * [taylor]: Taking taylor expansion of k in n 2.870 * [taylor]: Taking taylor expansion of 1.0 in n 2.870 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.870 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.870 * [taylor]: Taking taylor expansion of -2.0 in n 2.870 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.870 * [taylor]: Taking taylor expansion of PI in n 2.870 * [taylor]: Taking taylor expansion of n in n 2.870 * [taylor]: Taking taylor expansion of (sqrt (pow NAN 7)) in n 2.870 * [taylor]: Taking taylor expansion of (pow NAN 7) in n 2.870 * [taylor]: Taking taylor expansion of NAN in n 2.873 * * * [progress]: simplifying candidates 2.876 * [simplify]: Simplifying using # : (- (+ (* (neg (log k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (- (+ (* (- 0 (log k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (- (+ (* (- (log 1) (log k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (- (+ (* (log (/ 1 k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (- (+ (* (log (/ 1 k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (- (+ (log (pow (/ 1 k) 1/4)) (log 1.0)) (log (sqrt (sqrt k)))) (- (log (* (pow (/ 1 k) 1/4) 1.0)) (log (sqrt (sqrt k)))) (log (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k)))) (exp (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k)))) (/ (* (* (* (pow (/ 1 k) 1/4) (pow (/ 1 k) 1/4)) (pow (/ 1 k) 1/4)) (* (* 1.0 1.0) 1.0)) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (* (pow (/ 1 k) 1/4) 1.0) (* (pow (/ 1 k) 1/4) 1.0)) (* (pow (/ 1 k) 1/4) 1.0)) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k)))) (cbrt (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))))) (cbrt (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k)))) (* (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k)))) (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k)))) (sqrt (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k)))) (sqrt (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k)))) (neg (* (pow (/ 1 k) 1/4) 1.0)) (neg (sqrt (sqrt k))) (/ (pow (/ 1 k) 1/4) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (cbrt (sqrt (sqrt k)))) (/ (pow (/ 1 k) 1/4) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ (pow (/ 1 k) 1/4) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ (pow (/ 1 k) 1/4) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ (pow (/ 1 k) 1/4) (sqrt (sqrt 1))) (/ 1.0 (sqrt (sqrt k))) (/ (pow (/ 1 k) 1/4) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ (pow (/ 1 k) 1/4) (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ (pow (/ 1 k) 1/4) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ (pow (/ 1 k) 1/4) 1) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (* (pow (/ 1 k) 1/4) 1.0)) (/ (* (pow (/ 1 k) 1/4) 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt (sqrt k)))) (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt 1))) (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt (sqrt k)))) (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt 1)) (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt (sqrt k)))) (/ (* (pow (/ 1 k) 1/4) 1.0) 1) (/ (sqrt (sqrt k)) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (+ (- (+ (* (neg (log k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (+ (* (neg (log k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (+ (* (neg (log k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (+ (* (neg (log k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (+ (* (neg (log k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (+ (* (- 0 (log k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (+ (* (- 0 (log k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (+ (* (- 0 (log k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (+ (* (- 0 (log k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (+ (* (- 0 (log k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (+ (* (- (log 1) (log k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (+ (* (- (log 1) (log k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (+ (* (- (log 1) (log k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (+ (* (- (log 1) (log k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (+ (* (- (log 1) (log k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (+ (* (log (/ 1 k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (+ (* (log (/ 1 k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (+ (* (log (/ 1 k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (+ (* (log (/ 1 k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (+ (* (log (/ 1 k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (+ (* (log (/ 1 k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (+ (* (log (/ 1 k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (+ (* (log (/ 1 k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (+ (* (log (/ 1 k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (+ (* (log (/ 1 k)) 1/4) (log 1.0)) (log (sqrt (sqrt k)))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (+ (log (pow (/ 1 k) 1/4)) (log 1.0)) (log (sqrt (sqrt k)))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (+ (log (pow (/ 1 k) 1/4)) (log 1.0)) (log (sqrt (sqrt k)))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (+ (log (pow (/ 1 k) 1/4)) (log 1.0)) (log (sqrt (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (+ (log (pow (/ 1 k) 1/4)) (log 1.0)) (log (sqrt (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (+ (log (pow (/ 1 k) 1/4)) (log 1.0)) (log (sqrt (sqrt k)))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log (* (pow (/ 1 k) 1/4) 1.0)) (log (sqrt (sqrt k)))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log (* (pow (/ 1 k) 1/4) 1.0)) (log (sqrt (sqrt k)))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log (* (pow (/ 1 k) 1/4) 1.0)) (log (sqrt (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log (* (pow (/ 1 k) 1/4) 1.0)) (log (sqrt (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log (* (pow (/ 1 k) 1/4) 1.0)) (log (sqrt (sqrt k)))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k)))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k)))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k)))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* (* (pow (/ 1 k) 1/4) (pow (/ 1 k) 1/4)) (pow (/ 1 k) 1/4)) (* (* 1.0 1.0) 1.0)) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (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)))) (* (/ (* (* (* (pow (/ 1 k) 1/4) 1.0) (* (pow (/ 1 k) 1/4) 1.0)) (* (pow (/ 1 k) 1/4) 1.0)) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (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)))) (* (* (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k)))) (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k)))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 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2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (* NAN (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))))))))) (+ (* 0.5 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (pow NAN 3) (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (* k (* NAN (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))))))) (+ (* 1.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k)) (+ (* 1.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2))) (* 1.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 3))))) (- (+ (* 1.0 (* (* (exp (* 1/4 (+ (log (/ -1 k)) (log (neg 1))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (sqrt (/ 1 NAN)))) (* 0.5 (* (/ (* (exp (* 1/4 (+ (log (/ -1 k)) (log (neg 1))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k) (sqrt (pow NAN 3))))) (* 0.125 (* (/ (* (exp (* 1/4 (+ (log (/ -1 k)) (log (neg 1))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (pow k 2)) (sqrt (pow NAN 7))))) 2.889 * * [simplify]: iteration 0 : 1156 enodes (cost 2083 ) 2.907 * * [simplify]: iteration 1 : 4813 enodes (cost 1894 ) 2.982 * * [simplify]: iteration 2 : 5002 enodes (cost 1890 ) 2.992 * 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(* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (pow (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (pow (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (pow (/ 1 k) 1/4) 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (* (pow (/ 1 k) 1/4) 1.0) (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))))) (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt (cbrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (* (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (/ 1 k) 1/4) 1.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (- (+ (* 1.0 (* (exp (* 1/4 (+ (log (/ -1 k)) (log -1)))) (sqrt (/ 1 NAN)))) (* 0.5 (* (/ (exp (* 1/4 (+ (log (/ -1 k)) (log -1)))) k) (sqrt (pow NAN 3))))) (* 0.125 (* (/ (exp (* 1/4 (+ (log (/ -1 k)) (log -1)))) (pow k 2)) (sqrt (pow NAN 7))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n)))) (* 0.5 (* k (* NAN (log n))))))) (* 1.0 (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2)) (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 3))))) (+ (* (/ (* (exp (+ (* 1/4 (+ (log (/ -1 k)) (log -1))) (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (sqrt (pow NAN 3))) k) 0.5) (- (* (* 1.0 (exp (+ (* 1/4 (+ (log (/ -1 k)) (log -1))) (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (sqrt (/ 1 NAN))) (* (/ (* (exp (+ (* 1/4 (+ (log (/ -1 k)) (log -1))) (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (sqrt (pow NAN 7))) (pow k 2)) 0.125))) 2.993 * * * [progress]: adding candidates to table 3.257 * * [progress]: iteration 4 / 4 3.257 * * * [progress]: picking best candidate 3.295 * * * * [pick]: Picked # 3.295 * * * [progress]: localizing error 3.316 * * * [progress]: generating rewritten candidates 3.316 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 3.321 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 3.328 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.346 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 3.365 * * * [progress]: generating series expansions 3.366 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 3.366 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.366 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.366 * [taylor]: Taking taylor expansion of 2.0 in n 3.366 * [taylor]: Taking taylor expansion of (* n PI) in n 3.366 * [taylor]: Taking taylor expansion of n in n 3.366 * [taylor]: Taking taylor expansion of PI in n 3.366 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.366 * [taylor]: Taking taylor expansion of 2.0 in n 3.366 * [taylor]: Taking taylor expansion of (* n PI) in n 3.366 * [taylor]: Taking taylor expansion of n in n 3.366 * [taylor]: Taking taylor expansion of PI in n 3.367 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.367 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.367 * [taylor]: Taking taylor expansion of 2.0 in n 3.367 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.367 * [taylor]: Taking taylor expansion of PI in n 3.370 * [taylor]: Taking taylor expansion of n in n 3.370 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.370 * [taylor]: Taking taylor expansion of 2.0 in n 3.370 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.370 * [taylor]: Taking taylor expansion of PI in n 3.370 * [taylor]: Taking taylor expansion of n in n 3.371 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.371 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.371 * [taylor]: Taking taylor expansion of -2.0 in n 3.371 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.371 * [taylor]: Taking taylor expansion of PI in n 3.371 * [taylor]: Taking taylor expansion of n in n 3.371 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.371 * [taylor]: Taking taylor expansion of -2.0 in n 3.371 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.371 * [taylor]: Taking taylor expansion of PI in n 3.371 * [taylor]: Taking taylor expansion of n in n 3.372 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 3.372 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (/ 1 k) 1/4)) in (n k) around 0 3.372 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (/ 1 k) 1/4)) in k 3.372 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.372 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.372 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.372 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.372 * [taylor]: Taking taylor expansion of 0.5 in k 3.372 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.372 * [taylor]: Taking taylor expansion of 1.0 in k 3.372 * [taylor]: Taking taylor expansion of k in k 3.372 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.372 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.372 * [taylor]: Taking taylor expansion of 2.0 in k 3.372 * [taylor]: Taking taylor expansion of (* n PI) in k 3.372 * [taylor]: Taking taylor expansion of n in k 3.372 * [taylor]: Taking taylor expansion of PI in k 3.373 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 3.373 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 3.373 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 3.373 * [taylor]: Taking taylor expansion of 1/4 in k 3.373 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.373 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.373 * [taylor]: Taking taylor expansion of k in k 3.373 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (/ 1 k) 1/4)) in n 3.373 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.373 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.373 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.373 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.373 * [taylor]: Taking taylor expansion of 0.5 in n 3.373 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.373 * [taylor]: Taking taylor expansion of 1.0 in n 3.373 * [taylor]: Taking taylor expansion of k in n 3.373 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.373 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.373 * [taylor]: Taking taylor expansion of 2.0 in n 3.373 * [taylor]: Taking taylor expansion of (* n PI) in n 3.373 * [taylor]: Taking taylor expansion of n in n 3.373 * [taylor]: Taking taylor expansion of PI in n 3.373 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 3.373 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 3.373 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 3.373 * [taylor]: Taking taylor expansion of 1/4 in n 3.373 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in n 3.373 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.373 * [taylor]: Taking taylor expansion of k in n 3.374 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (/ 1 k) 1/4)) in n 3.374 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.374 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.374 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.374 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.374 * [taylor]: Taking taylor expansion of 0.5 in n 3.374 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.374 * [taylor]: Taking taylor expansion of 1.0 in n 3.374 * [taylor]: Taking taylor expansion of k in n 3.374 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.374 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.374 * [taylor]: Taking taylor expansion of 2.0 in n 3.374 * [taylor]: Taking taylor expansion of (* n PI) in n 3.374 * [taylor]: Taking taylor expansion of n in n 3.374 * [taylor]: Taking taylor expansion of PI in n 3.374 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 3.374 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 3.374 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 3.374 * [taylor]: Taking taylor expansion of 1/4 in n 3.374 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in n 3.374 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.374 * [taylor]: Taking taylor expansion of k in n 3.374 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 3.375 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 3.375 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 3.375 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 3.375 * [taylor]: Taking taylor expansion of 1/4 in k 3.375 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.375 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.375 * [taylor]: Taking taylor expansion of k in k 3.375 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.375 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.375 * [taylor]: Taking taylor expansion of 0.5 in k 3.375 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.375 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.375 * [taylor]: Taking taylor expansion of 1.0 in k 3.375 * [taylor]: Taking taylor expansion of k in k 3.375 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.375 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.375 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.375 * [taylor]: Taking taylor expansion of 2.0 in k 3.375 * [taylor]: Taking taylor expansion of PI in k 3.375 * [taylor]: Taking taylor expansion of (log n) in k 3.375 * [taylor]: Taking taylor expansion of n in k 3.376 * [taylor]: Taking taylor expansion of 0 in k 3.379 * [taylor]: Taking taylor expansion of 0 in k 3.383 * [approximate]: Taking taylor expansion of (* (pow k 1/4) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in (n k) around 0 3.383 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.383 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 3.383 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 3.383 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 3.383 * [taylor]: Taking taylor expansion of 1/4 in k 3.383 * [taylor]: Taking taylor expansion of (log k) in k 3.383 * [taylor]: Taking taylor expansion of k in k 3.383 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.383 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.383 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.383 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.383 * [taylor]: Taking taylor expansion of 0.5 in k 3.383 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.383 * [taylor]: Taking taylor expansion of 1.0 in k 3.383 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.384 * [taylor]: Taking taylor expansion of k in k 3.384 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.384 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.384 * [taylor]: Taking taylor expansion of 2.0 in k 3.384 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.384 * [taylor]: Taking taylor expansion of PI in k 3.384 * [taylor]: Taking taylor expansion of n in k 3.384 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 3.384 * [taylor]: Taking taylor expansion of (pow k 1/4) in n 3.384 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in n 3.384 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in n 3.384 * [taylor]: Taking taylor expansion of 1/4 in n 3.384 * [taylor]: Taking taylor expansion of (log k) in n 3.384 * [taylor]: Taking taylor expansion of k in n 3.384 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.385 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.385 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.385 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.385 * [taylor]: Taking taylor expansion of 0.5 in n 3.385 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.385 * [taylor]: Taking taylor expansion of 1.0 in n 3.385 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.385 * [taylor]: Taking taylor expansion of k in n 3.385 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.385 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.385 * [taylor]: Taking taylor expansion of 2.0 in n 3.385 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.385 * [taylor]: Taking taylor expansion of PI in n 3.385 * [taylor]: Taking taylor expansion of n in n 3.385 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 3.385 * [taylor]: Taking taylor expansion of (pow k 1/4) in n 3.385 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in n 3.385 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in n 3.385 * [taylor]: Taking taylor expansion of 1/4 in n 3.385 * [taylor]: Taking taylor expansion of (log k) in n 3.385 * [taylor]: Taking taylor expansion of k in n 3.385 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.385 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.385 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.385 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.385 * [taylor]: Taking taylor expansion of 0.5 in n 3.385 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.385 * [taylor]: Taking taylor expansion of 1.0 in n 3.385 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.385 * [taylor]: Taking taylor expansion of k in n 3.385 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.385 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.385 * [taylor]: Taking taylor expansion of 2.0 in n 3.386 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.386 * [taylor]: Taking taylor expansion of PI in n 3.386 * [taylor]: Taking taylor expansion of n in n 3.386 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 3.386 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 3.386 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 3.386 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 3.386 * [taylor]: Taking taylor expansion of 1/4 in k 3.386 * [taylor]: Taking taylor expansion of (log k) in k 3.386 * [taylor]: Taking taylor expansion of k in k 3.386 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.386 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.386 * [taylor]: Taking taylor expansion of 0.5 in k 3.386 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.386 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.386 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.386 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.386 * [taylor]: Taking taylor expansion of 2.0 in k 3.386 * [taylor]: Taking taylor expansion of PI in k 3.386 * [taylor]: Taking taylor expansion of (log n) in k 3.386 * [taylor]: Taking taylor expansion of n in k 3.387 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.387 * [taylor]: Taking taylor expansion of 1.0 in k 3.387 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.387 * [taylor]: Taking taylor expansion of k in k 3.388 * [taylor]: Taking taylor expansion of 0 in k 3.389 * [taylor]: Taking taylor expansion of 0 in k 3.392 * [taylor]: Taking taylor expansion of 0 in k 3.392 * [approximate]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ 1 (sqrt (/ -1 k))))) in (n k) around 0 3.392 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ 1 (sqrt (/ -1 k))))) in k 3.392 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.392 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.392 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.392 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.392 * [taylor]: Taking taylor expansion of 0.5 in k 3.392 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.392 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.392 * [taylor]: Taking taylor expansion of k in k 3.392 * [taylor]: Taking taylor expansion of 1.0 in k 3.392 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.392 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.392 * [taylor]: Taking taylor expansion of -2.0 in k 3.392 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.392 * [taylor]: Taking taylor expansion of PI in k 3.392 * [taylor]: Taking taylor expansion of n in k 3.392 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 3.392 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 3.392 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.392 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.392 * [taylor]: Taking taylor expansion of -1 in k 3.393 * [taylor]: Taking taylor expansion of k in k 3.393 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ 1 (sqrt (/ -1 k))))) in n 3.393 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.393 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.393 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.393 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.393 * [taylor]: Taking taylor expansion of 0.5 in n 3.393 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.393 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.393 * [taylor]: Taking taylor expansion of k in n 3.393 * [taylor]: Taking taylor expansion of 1.0 in n 3.393 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.393 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.393 * [taylor]: Taking taylor expansion of -2.0 in n 3.393 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.393 * [taylor]: Taking taylor expansion of PI in n 3.393 * [taylor]: Taking taylor expansion of n in n 3.393 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in n 3.393 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 3.393 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.393 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.393 * [taylor]: Taking taylor expansion of -1 in n 3.393 * [taylor]: Taking taylor expansion of k in n 3.394 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ 1 (sqrt (/ -1 k))))) in n 3.394 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.394 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.394 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.394 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.394 * [taylor]: Taking taylor expansion of 0.5 in n 3.394 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.394 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.394 * [taylor]: Taking taylor expansion of k in n 3.394 * [taylor]: Taking taylor expansion of 1.0 in n 3.394 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.394 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.394 * [taylor]: Taking taylor expansion of -2.0 in n 3.394 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.394 * [taylor]: Taking taylor expansion of PI in n 3.394 * [taylor]: Taking taylor expansion of n in n 3.394 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in n 3.394 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 3.394 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.394 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.394 * [taylor]: Taking taylor expansion of -1 in n 3.394 * [taylor]: Taking taylor expansion of k in n 3.395 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ 1 (sqrt (/ -1 k))))) in k 3.395 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.395 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.395 * [taylor]: Taking taylor expansion of 0.5 in k 3.395 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.395 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.395 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.395 * [taylor]: Taking taylor expansion of k in k 3.395 * [taylor]: Taking taylor expansion of 1.0 in k 3.395 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.395 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.395 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.395 * [taylor]: Taking taylor expansion of -2.0 in k 3.395 * [taylor]: Taking taylor expansion of PI in k 3.395 * [taylor]: Taking taylor expansion of (log n) in k 3.395 * [taylor]: Taking taylor expansion of n in k 3.395 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 3.395 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 3.395 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.395 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.395 * [taylor]: Taking taylor expansion of -1 in k 3.395 * [taylor]: Taking taylor expansion of k in k 3.397 * [taylor]: Taking taylor expansion of 0 in k 3.398 * [taylor]: Taking taylor expansion of 0 in k 3.400 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.400 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 3.400 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 3.400 * [taylor]: Taking taylor expansion of 1.0 in n 3.400 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 3.400 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.400 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.400 * [taylor]: Taking taylor expansion of k in n 3.400 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.400 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.400 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.400 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.400 * [taylor]: Taking taylor expansion of 0.5 in n 3.400 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.400 * [taylor]: Taking taylor expansion of 1.0 in n 3.400 * [taylor]: Taking taylor expansion of k in n 3.400 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.400 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.400 * [taylor]: Taking taylor expansion of 2.0 in n 3.401 * [taylor]: Taking taylor expansion of (* n PI) in n 3.401 * [taylor]: Taking taylor expansion of n in n 3.401 * [taylor]: Taking taylor expansion of PI in n 3.401 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 3.401 * [taylor]: Taking taylor expansion of 1.0 in k 3.401 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 3.401 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.401 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.401 * [taylor]: Taking taylor expansion of k in k 3.401 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.401 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.401 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.401 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.401 * [taylor]: Taking taylor expansion of 0.5 in k 3.401 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.401 * [taylor]: Taking taylor expansion of 1.0 in k 3.401 * [taylor]: Taking taylor expansion of k in k 3.401 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.401 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.401 * [taylor]: Taking taylor expansion of 2.0 in k 3.401 * [taylor]: Taking taylor expansion of (* n PI) in k 3.401 * [taylor]: Taking taylor expansion of n in k 3.401 * [taylor]: Taking taylor expansion of PI in k 3.401 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 3.401 * [taylor]: Taking taylor expansion of 1.0 in k 3.401 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 3.401 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.401 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.401 * [taylor]: Taking taylor expansion of k in k 3.401 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.402 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.402 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.402 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.402 * [taylor]: Taking taylor expansion of 0.5 in k 3.402 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.402 * [taylor]: Taking taylor expansion of 1.0 in k 3.402 * [taylor]: Taking taylor expansion of k in k 3.402 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.402 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.402 * [taylor]: Taking taylor expansion of 2.0 in k 3.402 * [taylor]: Taking taylor expansion of (* n PI) in k 3.402 * [taylor]: Taking taylor expansion of n in k 3.402 * [taylor]: Taking taylor expansion of PI in k 3.402 * [taylor]: Taking taylor expansion of 0 in n 3.403 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.403 * [taylor]: Taking taylor expansion of 1.0 in n 3.403 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.403 * [taylor]: Taking taylor expansion of NAN in n 3.403 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.403 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.403 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.403 * [taylor]: Taking taylor expansion of 0.5 in n 3.403 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.403 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.403 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.403 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.403 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.403 * [taylor]: Taking taylor expansion of 1.0 in n 3.403 * [taylor]: Taking taylor expansion of (log PI) in n 3.403 * [taylor]: Taking taylor expansion of PI in n 3.403 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.403 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.403 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.403 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.403 * [taylor]: Taking taylor expansion of 1.0 in n 3.403 * [taylor]: Taking taylor expansion of (log n) in n 3.403 * [taylor]: Taking taylor expansion of n in n 3.403 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.404 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.404 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.404 * [taylor]: Taking taylor expansion of 1.0 in n 3.404 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.404 * [taylor]: Taking taylor expansion of 2.0 in n 3.407 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 3.407 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) in n 3.407 * [taylor]: Taking taylor expansion of 1.0 in n 3.407 * [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 3.407 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.407 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.407 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.407 * [taylor]: Taking taylor expansion of 0.5 in n 3.407 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.407 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.407 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.407 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.407 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.407 * [taylor]: Taking taylor expansion of 1.0 in n 3.407 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.407 * [taylor]: Taking taylor expansion of 2.0 in n 3.407 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.407 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.407 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.407 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.407 * [taylor]: Taking taylor expansion of 1.0 in n 3.408 * [taylor]: Taking taylor expansion of (log n) in n 3.408 * [taylor]: Taking taylor expansion of n in n 3.408 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.408 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.408 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.408 * [taylor]: Taking taylor expansion of 1.0 in n 3.408 * [taylor]: Taking taylor expansion of (log PI) in n 3.408 * [taylor]: Taking taylor expansion of PI in n 3.409 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 3.409 * [taylor]: Taking taylor expansion of NAN in n 3.409 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 3.409 * [taylor]: Taking taylor expansion of 0.5 in n 3.409 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.409 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 3.409 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.409 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.409 * [taylor]: Taking taylor expansion of 2.0 in n 3.409 * [taylor]: Taking taylor expansion of (* n PI) in n 3.409 * [taylor]: Taking taylor expansion of n in n 3.409 * [taylor]: Taking taylor expansion of PI in n 3.409 * [taylor]: Taking taylor expansion of NAN in n 3.409 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.409 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.409 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.409 * [taylor]: Taking taylor expansion of 0.5 in n 3.409 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.409 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.409 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.409 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.409 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.409 * [taylor]: Taking taylor expansion of 1.0 in n 3.409 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.409 * [taylor]: Taking taylor expansion of 2.0 in n 3.409 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.409 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.409 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.409 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.409 * [taylor]: Taking taylor expansion of 1.0 in n 3.409 * [taylor]: Taking taylor expansion of (log n) in n 3.409 * [taylor]: Taking taylor expansion of n in n 3.409 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.409 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.409 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.409 * [taylor]: Taking taylor expansion of 1.0 in n 3.409 * [taylor]: Taking taylor expansion of (log PI) in n 3.409 * [taylor]: Taking taylor expansion of PI in n 3.419 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 3.419 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) in n 3.419 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 3.419 * [taylor]: Taking taylor expansion of 0.125 in n 3.419 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.419 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 3.419 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.419 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.419 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.419 * [taylor]: Taking taylor expansion of 2.0 in n 3.419 * [taylor]: Taking taylor expansion of (* n PI) in n 3.420 * [taylor]: Taking taylor expansion of n in n 3.420 * [taylor]: Taking taylor expansion of PI in n 3.420 * [taylor]: Taking taylor expansion of NAN in n 3.420 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.420 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.420 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.420 * [taylor]: Taking taylor expansion of 0.5 in n 3.420 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.420 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.420 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.420 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.420 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.420 * [taylor]: Taking taylor expansion of 1.0 in n 3.420 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.420 * [taylor]: Taking taylor expansion of 2.0 in n 3.420 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.420 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.420 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.420 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.420 * [taylor]: Taking taylor expansion of 1.0 in n 3.420 * [taylor]: Taking taylor expansion of (log n) in n 3.420 * [taylor]: Taking taylor expansion of n in n 3.420 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.420 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.420 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.420 * [taylor]: Taking taylor expansion of 1.0 in n 3.420 * [taylor]: Taking taylor expansion of (log PI) in n 3.420 * [taylor]: Taking taylor expansion of PI in n 3.421 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5))) in n 3.421 * [taylor]: Taking taylor expansion of 1.0 in n 3.421 * [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 3.421 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.421 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.421 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.421 * [taylor]: Taking taylor expansion of 0.5 in n 3.421 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.421 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.421 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.421 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.421 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.421 * [taylor]: Taking taylor expansion of 1.0 in n 3.421 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.421 * [taylor]: Taking taylor expansion of 2.0 in n 3.421 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.421 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.421 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.421 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.421 * [taylor]: Taking taylor expansion of 1.0 in n 3.421 * [taylor]: Taking taylor expansion of (log n) in n 3.421 * [taylor]: Taking taylor expansion of n in n 3.422 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.422 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.422 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.422 * [taylor]: Taking taylor expansion of 1.0 in n 3.422 * [taylor]: Taking taylor expansion of (log PI) in n 3.422 * [taylor]: Taking taylor expansion of PI in n 3.422 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 3.423 * [taylor]: Taking taylor expansion of NAN in n 3.423 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 3.423 * [taylor]: Taking taylor expansion of 0.5 in n 3.423 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.423 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 3.423 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.423 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.423 * [taylor]: Taking taylor expansion of 2.0 in n 3.423 * [taylor]: Taking taylor expansion of (* n PI) in n 3.423 * [taylor]: Taking taylor expansion of n in n 3.423 * [taylor]: Taking taylor expansion of PI in n 3.423 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 3.423 * [taylor]: Taking taylor expansion of NAN in n 3.423 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.423 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.423 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.423 * [taylor]: Taking taylor expansion of 0.5 in n 3.423 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.423 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.423 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.423 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.423 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.423 * [taylor]: Taking taylor expansion of 1.0 in n 3.423 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.423 * [taylor]: Taking taylor expansion of 2.0 in n 3.423 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.423 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.423 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.423 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.423 * [taylor]: Taking taylor expansion of 1.0 in n 3.423 * [taylor]: Taking taylor expansion of (log n) in n 3.423 * [taylor]: Taking taylor expansion of n in n 3.423 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.423 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.423 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.423 * [taylor]: Taking taylor expansion of 1.0 in n 3.423 * [taylor]: Taking taylor expansion of (log PI) in n 3.423 * [taylor]: Taking taylor expansion of PI in n 3.437 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 3.437 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 3.437 * [taylor]: Taking taylor expansion of 1.0 in n 3.437 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 3.437 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.437 * [taylor]: Taking taylor expansion of k in n 3.437 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.437 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.437 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.437 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.437 * [taylor]: Taking taylor expansion of 0.5 in n 3.437 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.437 * [taylor]: Taking taylor expansion of 1.0 in n 3.437 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.437 * [taylor]: Taking taylor expansion of k in n 3.437 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.437 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.437 * [taylor]: Taking taylor expansion of 2.0 in n 3.437 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.437 * [taylor]: Taking taylor expansion of PI in n 3.437 * [taylor]: Taking taylor expansion of n in n 3.437 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.437 * [taylor]: Taking taylor expansion of 1.0 in k 3.437 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.437 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.437 * [taylor]: Taking taylor expansion of k in k 3.437 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.437 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.437 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.437 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.437 * [taylor]: Taking taylor expansion of 0.5 in k 3.437 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.438 * [taylor]: Taking taylor expansion of 1.0 in k 3.438 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.438 * [taylor]: Taking taylor expansion of k in k 3.438 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.438 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.438 * [taylor]: Taking taylor expansion of 2.0 in k 3.438 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.438 * [taylor]: Taking taylor expansion of PI in k 3.438 * [taylor]: Taking taylor expansion of n in k 3.438 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.438 * [taylor]: Taking taylor expansion of 1.0 in k 3.438 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.438 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.438 * [taylor]: Taking taylor expansion of k in k 3.438 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.438 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.438 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.438 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.438 * [taylor]: Taking taylor expansion of 0.5 in k 3.438 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.438 * [taylor]: Taking taylor expansion of 1.0 in k 3.438 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.438 * [taylor]: Taking taylor expansion of k in k 3.438 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.438 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.438 * [taylor]: Taking taylor expansion of 2.0 in k 3.438 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.438 * [taylor]: Taking taylor expansion of PI in k 3.438 * [taylor]: Taking taylor expansion of n in k 3.439 * [taylor]: Taking taylor expansion of 0 in n 3.439 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.439 * [taylor]: Taking taylor expansion of 1.0 in n 3.439 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.439 * [taylor]: Taking taylor expansion of NAN in n 3.439 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.439 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.439 * [taylor]: Taking taylor expansion of 0.5 in n 3.439 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.439 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.439 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.439 * [taylor]: Taking taylor expansion of 2.0 in n 3.439 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.439 * [taylor]: Taking taylor expansion of PI in n 3.439 * [taylor]: Taking taylor expansion of n in n 3.439 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.439 * [taylor]: Taking taylor expansion of 1.0 in n 3.439 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.439 * [taylor]: Taking taylor expansion of k in n 3.440 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.440 * [taylor]: Taking taylor expansion of 1.0 in n 3.440 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.440 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 3.440 * [taylor]: Taking taylor expansion of NAN in n 3.440 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.440 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.440 * [taylor]: Taking taylor expansion of 0.5 in n 3.440 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.440 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.440 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.440 * [taylor]: Taking taylor expansion of 2.0 in n 3.441 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.441 * [taylor]: Taking taylor expansion of PI in n 3.441 * [taylor]: Taking taylor expansion of n in n 3.441 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.441 * [taylor]: Taking taylor expansion of 1.0 in n 3.441 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.441 * [taylor]: Taking taylor expansion of k in n 3.443 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.443 * [taylor]: Taking taylor expansion of 1.0 in n 3.443 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.443 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 3.443 * [taylor]: Taking taylor expansion of NAN in n 3.443 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.443 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.443 * [taylor]: Taking taylor expansion of 0.5 in n 3.443 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.443 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.443 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.443 * [taylor]: Taking taylor expansion of 2.0 in n 3.443 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.443 * [taylor]: Taking taylor expansion of PI in n 3.443 * [taylor]: Taking taylor expansion of n in n 3.443 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.443 * [taylor]: Taking taylor expansion of 1.0 in n 3.443 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.443 * [taylor]: Taking taylor expansion of k in n 3.445 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* -1 k) 1/4) (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ 1 (sqrt (/ -1 k))))))) in (k n) around 0 3.445 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* -1 k) 1/4) (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ 1 (sqrt (/ -1 k))))))) in n 3.445 * [taylor]: Taking taylor expansion of 1.0 in n 3.445 * [taylor]: Taking taylor expansion of (* (pow (* -1 k) 1/4) (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ 1 (sqrt (/ -1 k)))))) in n 3.445 * [taylor]: Taking taylor expansion of (pow (* -1 k) 1/4) in n 3.445 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* -1 k)))) in n 3.445 * [taylor]: Taking taylor expansion of (* 1/4 (log (* -1 k))) in n 3.445 * [taylor]: Taking taylor expansion of 1/4 in n 3.445 * [taylor]: Taking taylor expansion of (log (* -1 k)) in n 3.445 * [taylor]: Taking taylor expansion of (* -1 k) in n 3.445 * [taylor]: Taking taylor expansion of -1 in n 3.445 * [taylor]: Taking taylor expansion of k in n 3.446 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ 1 (sqrt (/ -1 k))))) in n 3.446 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.446 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.446 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.446 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.446 * [taylor]: Taking taylor expansion of 0.5 in n 3.446 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.446 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.446 * [taylor]: Taking taylor expansion of k in n 3.446 * [taylor]: Taking taylor expansion of 1.0 in n 3.446 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.446 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.446 * [taylor]: Taking taylor expansion of -2.0 in n 3.446 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.446 * [taylor]: Taking taylor expansion of PI in n 3.446 * [taylor]: Taking taylor expansion of n in n 3.446 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in n 3.446 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 3.446 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.446 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.446 * [taylor]: Taking taylor expansion of -1 in n 3.446 * [taylor]: Taking taylor expansion of k in n 3.447 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* -1 k) 1/4) (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ 1 (sqrt (/ -1 k))))))) in k 3.447 * [taylor]: Taking taylor expansion of 1.0 in k 3.447 * [taylor]: Taking taylor expansion of (* (pow (* -1 k) 1/4) (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ 1 (sqrt (/ -1 k)))))) in k 3.447 * [taylor]: Taking taylor expansion of (pow (* -1 k) 1/4) in k 3.447 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* -1 k)))) in k 3.447 * [taylor]: Taking taylor expansion of (* 1/4 (log (* -1 k))) in k 3.447 * [taylor]: Taking taylor expansion of 1/4 in k 3.447 * [taylor]: Taking taylor expansion of (log (* -1 k)) in k 3.447 * [taylor]: Taking taylor expansion of (* -1 k) in k 3.447 * [taylor]: Taking taylor expansion of -1 in k 3.447 * [taylor]: Taking taylor expansion of k in k 3.447 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ 1 (sqrt (/ -1 k))))) in k 3.447 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.447 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.447 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.447 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.447 * [taylor]: Taking taylor expansion of 0.5 in k 3.447 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.447 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.447 * [taylor]: Taking taylor expansion of k in k 3.447 * [taylor]: Taking taylor expansion of 1.0 in k 3.447 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.447 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.447 * [taylor]: Taking taylor expansion of -2.0 in k 3.447 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.447 * [taylor]: Taking taylor expansion of PI in k 3.447 * [taylor]: Taking taylor expansion of n in k 3.447 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 3.447 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 3.447 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.447 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.447 * [taylor]: Taking taylor expansion of -1 in k 3.447 * [taylor]: Taking taylor expansion of k in k 3.448 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* -1 k) 1/4) (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ 1 (sqrt (/ -1 k))))))) in k 3.448 * [taylor]: Taking taylor expansion of 1.0 in k 3.448 * [taylor]: Taking taylor expansion of (* (pow (* -1 k) 1/4) (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ 1 (sqrt (/ -1 k)))))) in k 3.448 * [taylor]: Taking taylor expansion of (pow (* -1 k) 1/4) in k 3.448 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* -1 k)))) in k 3.448 * [taylor]: Taking taylor expansion of (* 1/4 (log (* -1 k))) in k 3.448 * [taylor]: Taking taylor expansion of 1/4 in k 3.448 * [taylor]: Taking taylor expansion of (log (* -1 k)) in k 3.448 * [taylor]: Taking taylor expansion of (* -1 k) in k 3.448 * [taylor]: Taking taylor expansion of -1 in k 3.448 * [taylor]: Taking taylor expansion of k in k 3.448 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ 1 (sqrt (/ -1 k))))) in k 3.448 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.448 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.448 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.448 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.448 * [taylor]: Taking taylor expansion of 0.5 in k 3.448 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.448 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.448 * [taylor]: Taking taylor expansion of k in k 3.448 * [taylor]: Taking taylor expansion of 1.0 in k 3.448 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.448 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.448 * [taylor]: Taking taylor expansion of -2.0 in k 3.448 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.448 * [taylor]: Taking taylor expansion of PI in k 3.448 * [taylor]: Taking taylor expansion of n in k 3.449 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 3.449 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 3.449 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.449 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.449 * [taylor]: Taking taylor expansion of -1 in k 3.449 * [taylor]: Taking taylor expansion of k in k 3.449 * [taylor]: Taking taylor expansion of (* 1.0 (* (* (exp (* 1/4 (+ (log (neg 1)) (log k)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (sqrt (/ 1 NAN)))) in n 3.449 * [taylor]: Taking taylor expansion of 1.0 in n 3.449 * [taylor]: Taking taylor expansion of (* (* (exp (* 1/4 (+ (log (neg 1)) (log k)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (sqrt (/ 1 NAN))) in n 3.449 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (+ (log (neg 1)) (log k)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.449 * [taylor]: Taking taylor expansion of (exp (* 1/4 (+ (log (neg 1)) (log k)))) in n 3.449 * [taylor]: Taking taylor expansion of (* 1/4 (+ (log (neg 1)) (log k))) in n 3.449 * [taylor]: Taking taylor expansion of 1/4 in n 3.450 * [taylor]: Taking taylor expansion of (+ (log (neg 1)) (log k)) in n 3.450 * [taylor]: Taking taylor expansion of (log (neg 1)) in n 3.450 * [taylor]: Taking taylor expansion of (neg 1) in n 3.450 * [taylor]: Taking taylor expansion of 1 in n 3.450 * [taylor]: Taking taylor expansion of (log k) in n 3.450 * [taylor]: Taking taylor expansion of k in n 3.450 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.450 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.450 * [taylor]: Taking taylor expansion of 0.5 in n 3.450 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.450 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.450 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.450 * [taylor]: Taking taylor expansion of k in n 3.450 * [taylor]: Taking taylor expansion of 1.0 in n 3.450 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.450 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.450 * [taylor]: Taking taylor expansion of -2.0 in n 3.450 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.450 * [taylor]: Taking taylor expansion of PI in n 3.450 * [taylor]: Taking taylor expansion of n in n 3.450 * [taylor]: Taking taylor expansion of (sqrt (/ 1 NAN)) in n 3.450 * [taylor]: Taking taylor expansion of (/ 1 NAN) in n 3.450 * [taylor]: Taking taylor expansion of NAN in n 3.452 * [taylor]: Taking taylor expansion of (neg (* 0.5 (* (* (exp (* 1/4 (+ (log (neg 1)) (log k)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (sqrt (pow NAN 3))))) in n 3.452 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (exp (* 1/4 (+ (log (neg 1)) (log k)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (sqrt (pow NAN 3)))) in n 3.452 * [taylor]: Taking taylor expansion of 0.5 in n 3.452 * [taylor]: Taking taylor expansion of (* (* (exp (* 1/4 (+ (log (neg 1)) (log k)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (sqrt (pow NAN 3))) in n 3.452 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (+ (log (neg 1)) (log k)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.453 * [taylor]: Taking taylor expansion of (exp (* 1/4 (+ (log (neg 1)) (log k)))) in n 3.453 * [taylor]: Taking taylor expansion of (* 1/4 (+ (log (neg 1)) (log k))) in n 3.453 * [taylor]: Taking taylor expansion of 1/4 in n 3.453 * [taylor]: Taking taylor expansion of (+ (log (neg 1)) (log k)) in n 3.453 * [taylor]: Taking taylor expansion of (log (neg 1)) in n 3.453 * [taylor]: Taking taylor expansion of (neg 1) in n 3.453 * [taylor]: Taking taylor expansion of 1 in n 3.453 * [taylor]: Taking taylor expansion of (log k) in n 3.453 * [taylor]: Taking taylor expansion of k in n 3.454 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.454 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.454 * [taylor]: Taking taylor expansion of 0.5 in n 3.455 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.455 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.455 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.455 * [taylor]: Taking taylor expansion of k in n 3.455 * [taylor]: Taking taylor expansion of 1.0 in n 3.455 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.455 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.455 * [taylor]: Taking taylor expansion of -2.0 in n 3.455 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.455 * [taylor]: Taking taylor expansion of PI in n 3.455 * [taylor]: Taking taylor expansion of n in n 3.455 * [taylor]: Taking taylor expansion of (sqrt (pow NAN 3)) in n 3.455 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 3.455 * [taylor]: Taking taylor expansion of NAN in n 3.460 * [taylor]: Taking taylor expansion of (neg (* 0.125 (* (* (exp (* 1/4 (+ (log (neg 1)) (log k)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (sqrt (pow NAN 7))))) in n 3.460 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (exp (* 1/4 (+ (log (neg 1)) (log k)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (sqrt (pow NAN 7)))) in n 3.460 * [taylor]: Taking taylor expansion of 0.125 in n 3.460 * [taylor]: Taking taylor expansion of (* (* (exp (* 1/4 (+ (log (neg 1)) (log k)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (sqrt (pow NAN 7))) in n 3.460 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (+ (log (neg 1)) (log k)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.460 * [taylor]: Taking taylor expansion of (exp (* 1/4 (+ (log (neg 1)) (log k)))) in n 3.460 * [taylor]: Taking taylor expansion of (* 1/4 (+ (log (neg 1)) (log k))) in n 3.460 * [taylor]: Taking taylor expansion of 1/4 in n 3.460 * [taylor]: Taking taylor expansion of (+ (log (neg 1)) (log k)) in n 3.460 * [taylor]: Taking taylor expansion of (log (neg 1)) in n 3.460 * [taylor]: Taking taylor expansion of (neg 1) in n 3.460 * [taylor]: Taking taylor expansion of 1 in n 3.460 * [taylor]: Taking taylor expansion of (log k) in n 3.460 * [taylor]: Taking taylor expansion of k in n 3.460 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.460 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.460 * [taylor]: Taking taylor expansion of 0.5 in n 3.460 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.460 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.461 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.461 * [taylor]: Taking taylor expansion of k in n 3.461 * [taylor]: Taking taylor expansion of 1.0 in n 3.461 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.461 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.461 * [taylor]: Taking taylor expansion of -2.0 in n 3.461 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.461 * [taylor]: Taking taylor expansion of PI in n 3.461 * [taylor]: Taking taylor expansion of n in n 3.461 * [taylor]: Taking taylor expansion of (sqrt (pow NAN 7)) in n 3.461 * [taylor]: Taking taylor expansion of (pow NAN 7) in n 3.461 * [taylor]: Taking taylor expansion of NAN in n 3.464 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 3.464 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.464 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.464 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.464 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.464 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.464 * [taylor]: Taking taylor expansion of 0.5 in k 3.464 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.464 * [taylor]: Taking taylor expansion of 1.0 in k 3.464 * [taylor]: Taking taylor expansion of k in k 3.464 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.464 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.464 * [taylor]: Taking taylor expansion of 2.0 in k 3.464 * [taylor]: Taking taylor expansion of (* n PI) in k 3.464 * [taylor]: Taking taylor expansion of n in k 3.464 * [taylor]: Taking taylor expansion of PI in k 3.464 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.464 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.464 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.464 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.464 * [taylor]: Taking taylor expansion of 0.5 in n 3.464 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.464 * [taylor]: Taking taylor expansion of 1.0 in n 3.464 * [taylor]: Taking taylor expansion of k in n 3.464 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.464 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.464 * [taylor]: Taking taylor expansion of 2.0 in n 3.464 * [taylor]: Taking taylor expansion of (* n PI) in n 3.464 * [taylor]: Taking taylor expansion of n in n 3.464 * [taylor]: Taking taylor expansion of PI in n 3.465 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.465 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.465 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.465 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.465 * [taylor]: Taking taylor expansion of 0.5 in n 3.465 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.465 * [taylor]: Taking taylor expansion of 1.0 in n 3.465 * [taylor]: Taking taylor expansion of k in n 3.465 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.465 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.465 * [taylor]: Taking taylor expansion of 2.0 in n 3.465 * [taylor]: Taking taylor expansion of (* n PI) in n 3.465 * [taylor]: Taking taylor expansion of n in n 3.465 * [taylor]: Taking taylor expansion of PI in n 3.465 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.465 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.465 * [taylor]: Taking taylor expansion of 0.5 in k 3.465 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.465 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.465 * [taylor]: Taking taylor expansion of 1.0 in k 3.465 * [taylor]: Taking taylor expansion of k in k 3.465 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.465 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.465 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.465 * [taylor]: Taking taylor expansion of 2.0 in k 3.465 * [taylor]: Taking taylor expansion of PI in k 3.465 * [taylor]: Taking taylor expansion of (log n) in k 3.465 * [taylor]: Taking taylor expansion of n in k 3.466 * [taylor]: Taking taylor expansion of 0 in k 3.467 * [taylor]: Taking taylor expansion of 0 in k 3.469 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.469 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.469 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.469 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.469 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.469 * [taylor]: Taking taylor expansion of 0.5 in k 3.469 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.470 * [taylor]: Taking taylor expansion of 1.0 in k 3.470 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.470 * [taylor]: Taking taylor expansion of k in k 3.470 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.470 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.470 * [taylor]: Taking taylor expansion of 2.0 in k 3.470 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.470 * [taylor]: Taking taylor expansion of PI in k 3.470 * [taylor]: Taking taylor expansion of n in k 3.470 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.470 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.470 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.470 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.470 * [taylor]: Taking taylor expansion of 0.5 in n 3.470 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.470 * [taylor]: Taking taylor expansion of 1.0 in n 3.470 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.470 * [taylor]: Taking taylor expansion of k in n 3.470 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.470 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.470 * [taylor]: Taking taylor expansion of 2.0 in n 3.470 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.470 * [taylor]: Taking taylor expansion of PI in n 3.470 * [taylor]: Taking taylor expansion of n in n 3.470 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.470 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.471 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.471 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.471 * [taylor]: Taking taylor expansion of 0.5 in n 3.471 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.471 * [taylor]: Taking taylor expansion of 1.0 in n 3.471 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.471 * [taylor]: Taking taylor expansion of k in n 3.471 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.471 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.471 * [taylor]: Taking taylor expansion of 2.0 in n 3.471 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.471 * [taylor]: Taking taylor expansion of PI in n 3.471 * [taylor]: Taking taylor expansion of n in n 3.471 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.471 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.471 * [taylor]: Taking taylor expansion of 0.5 in k 3.471 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.471 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.471 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.471 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.471 * [taylor]: Taking taylor expansion of 2.0 in k 3.471 * [taylor]: Taking taylor expansion of PI in k 3.471 * [taylor]: Taking taylor expansion of (log n) in k 3.471 * [taylor]: Taking taylor expansion of n in k 3.471 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.471 * [taylor]: Taking taylor expansion of 1.0 in k 3.471 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.471 * [taylor]: Taking taylor expansion of k in k 3.472 * [taylor]: Taking taylor expansion of 0 in k 3.473 * [taylor]: Taking taylor expansion of 0 in k 3.474 * [taylor]: Taking taylor expansion of 0 in k 3.474 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.474 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.474 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.474 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.474 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.474 * [taylor]: Taking taylor expansion of 0.5 in k 3.474 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.474 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.474 * [taylor]: Taking taylor expansion of k in k 3.474 * [taylor]: Taking taylor expansion of 1.0 in k 3.474 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.474 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.474 * [taylor]: Taking taylor expansion of -2.0 in k 3.474 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.474 * [taylor]: Taking taylor expansion of PI in k 3.474 * [taylor]: Taking taylor expansion of n in k 3.475 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.475 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.475 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.475 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.475 * [taylor]: Taking taylor expansion of 0.5 in n 3.475 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.475 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.475 * [taylor]: Taking taylor expansion of k in n 3.475 * [taylor]: Taking taylor expansion of 1.0 in n 3.475 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.475 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.475 * [taylor]: Taking taylor expansion of -2.0 in n 3.475 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.475 * [taylor]: Taking taylor expansion of PI in n 3.475 * [taylor]: Taking taylor expansion of n in n 3.475 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.475 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.475 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.475 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.475 * [taylor]: Taking taylor expansion of 0.5 in n 3.475 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.475 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.475 * [taylor]: Taking taylor expansion of k in n 3.475 * [taylor]: Taking taylor expansion of 1.0 in n 3.475 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.475 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.475 * [taylor]: Taking taylor expansion of -2.0 in n 3.475 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.475 * [taylor]: Taking taylor expansion of PI in n 3.475 * [taylor]: Taking taylor expansion of n in n 3.476 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.476 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.476 * [taylor]: Taking taylor expansion of 0.5 in k 3.476 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.476 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.476 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.476 * [taylor]: Taking taylor expansion of k in k 3.476 * [taylor]: Taking taylor expansion of 1.0 in k 3.476 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.476 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.476 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.476 * [taylor]: Taking taylor expansion of -2.0 in k 3.476 * [taylor]: Taking taylor expansion of PI in k 3.476 * [taylor]: Taking taylor expansion of (log n) in k 3.476 * [taylor]: Taking taylor expansion of n in k 3.477 * [taylor]: Taking taylor expansion of 0 in k 3.478 * [taylor]: Taking taylor expansion of 0 in k 3.478 * [taylor]: Taking taylor expansion of 0 in k 3.479 * * * [progress]: simplifying candidates 3.482 * [simplify]: Simplifying using # : (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (log (sqrt (sqrt k)))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (log (sqrt (sqrt k)))) (- (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (log (sqrt (sqrt k)))) (- (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (log (sqrt (sqrt k)))) (- (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (sqrt (sqrt k)))) (log (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))) (exp (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (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 (sqrt k)) (sqrt (sqrt k))) (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)) (sqrt (sqrt k))))) (cbrt (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt 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 (sqrt k)))) (/ (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 (sqrt k)))) (neg (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (neg (sqrt (sqrt k))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow n (/ (- 1.0 k) 2.0)) (cbrt (sqrt (sqrt k)))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt (cbrt (sqrt k)))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt (sqrt (cbrt k)))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (sqrt (sqrt k)))) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (sqrt 1))) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (sqrt (sqrt k)))) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt 1)) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (sqrt (sqrt k)))) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 1) (/ (pow 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)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (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 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (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 (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (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 (sqrt k)))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (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 (sqrt 1))) (/ (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 (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (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 (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 (sqrt k)))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (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 (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt 1))) (/ (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 (sqrt k)))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (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 (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (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 (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt (sqrt k)))) (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt 1))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt 1)) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt (sqrt k)))) (/ 1 1) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt (cbrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt 1))) (/ (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 (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (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 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (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 (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt 1))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (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 (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0))) (/ (sqrt (sqrt k)) (cbrt (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)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 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(/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))))) (log (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))))) (log (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))))) (log (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))))) (log (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))))) (log (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))))) (exp (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))))) (pow (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))) 3) (pow (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))) 3) (pow (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))) 3) (pow (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))) 3) (* (cbrt (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))))) (cbrt (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))))) (cbrt (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))))) (pow (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))) 3) (sqrt (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))))) (sqrt (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))))) (* (* (pow (/ 1 k) 1/4) 1.0) (* (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)))))) (* (* (pow (/ 1 k) 1/4) 1.0) (sqrt (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (* (* (pow (/ 1 k) 1/4) 1.0) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (fabs (cbrt (sqrt k)))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (sqrt (sqrt k))))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (sqrt 1)))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (sqrt (sqrt k))))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt 1))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (sqrt (sqrt k))))) (* (pow (/ 1 k) 1/4) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (* (* (pow (/ 1 k) 1/4) 1.0) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (fabs (cbrt (sqrt k)))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt (sqrt k))))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt 1)))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt (sqrt k))))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt 1))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt (sqrt k))))) (* (pow (/ 1 k) 1/4) (* 1.0 (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (* (* (pow (/ 1 k) 1/4) 1.0) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (fabs (cbrt (sqrt k)))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt (sqrt k))))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt 1)))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt (sqrt k))))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt 1))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt (sqrt k))))) (* (pow (/ 1 k) 1/4) (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (* (pow (/ 1 k) 1/4) 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (pow (/ 1 k) 1/4) 1.0) (fabs (cbrt (sqrt k)))) (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt (sqrt k)))) (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt 1))) (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt (sqrt k)))) (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt 1)) (/ (* (pow (/ 1 k) 1/4) 1.0) (sqrt (sqrt (sqrt k)))) (* (pow (/ 1 k) 1/4) 1.0) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (* (* (pow (/ 1 k) 1/4) 1.0) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (fabs (cbrt (sqrt k)))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt (sqrt k))))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt 1)))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt (sqrt k))))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt 1))) (* (* (pow (/ 1 k) 1/4) 1.0) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt (sqrt k))))) (* (pow (/ 1 k) 1/4) (* 1.0 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow (/ 1 k) 1/4) 1.0) (* (* (pow (/ 1 k) 1/4) 1.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* 1.0 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))) (* (* (pow (/ 1 k) 1/4) 1.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (* (pow (exp 1/4) (log (/ 1 k))) (pow (log n) 2)) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (* (* (pow (exp 1/4) (log (/ 1 k))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (pow (log (* 2.0 PI)) 2)))) (* (pow (* (* 2.0 PI) n) 0.5) (exp (* (neg (log k)) 1/4)))) (* (* (* (* (* (pow (exp 1/4) (log (/ 1 k))) (log n)) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* (* (pow (exp 1/4) (log (/ 1 k))) (log n)) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) k) 0.5)) (* (* (* (* (pow (exp 1/4) (log (/ 1 k))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) k) 0.5)) (exp (+ (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))) (* (neg (log k)) 1/4))) (- (+ (* (sqrt (/ 1 NAN)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (* 1/2 (* (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (sqrt (pow NAN 3))))) (* 1/8 (* (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (sqrt (pow NAN 7))))) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n)))) (* 0.5 (* k (* NAN (log n))))))) (* 1.0 (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2)) (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 3))))) (+ (* (/ (* (exp (+ (* 1/4 (+ (log (/ -1 k)) (log -1))) (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (sqrt (pow NAN 3))) k) 0.5) (- (* (* 1.0 (exp (+ (* 1/4 (+ (log (/ -1 k)) (log -1))) (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (sqrt (/ 1 NAN))) (* (/ (* (exp (+ (* 1/4 (+ (log (/ -1 k)) (log -1))) (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (sqrt (pow NAN 7))) (pow k 2)) 0.125))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (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)))))) 3.537 * * * [progress]: adding candidates to table 3.997 * [progress]: [Phase 3 of 3] Extracting. 3.997 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 4.002 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 4.002 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # #) 4.072 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # #) 4.140 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # #) 4.210 * * * [regime]: Found split indices: #