24.261 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.146 * * * [progress]: [2/2] Setting up program. 0.149 * [progress]: [Phase 2 of 3] Improving. 0.149 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.152 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.153 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.155 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.157 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.163 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.186 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.187 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.187 * * [progress]: iteration 1 / 4 0.187 * * * [progress]: picking best candidate 0.189 * * * * [pick]: Picked # 0.189 * * * [progress]: localizing error 0.203 * * * [progress]: generating rewritten candidates 0.203 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.213 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.217 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.222 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.379 * * * [progress]: generating series expansions 0.379 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.380 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.380 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.380 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.380 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.380 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.380 * [taylor]: Taking taylor expansion of 0.5 in k 0.380 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.380 * [taylor]: Taking taylor expansion of 1.0 in k 0.380 * [taylor]: Taking taylor expansion of k in k 0.380 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.380 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.380 * [taylor]: Taking taylor expansion of 2.0 in k 0.380 * [taylor]: Taking taylor expansion of (* n PI) in k 0.380 * [taylor]: Taking taylor expansion of n in k 0.380 * [taylor]: Taking taylor expansion of PI in k 0.382 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.382 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.382 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.382 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.382 * [taylor]: Taking taylor expansion of 0.5 in n 0.382 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.382 * [taylor]: Taking taylor expansion of 1.0 in n 0.382 * [taylor]: Taking taylor expansion of k in n 0.382 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.382 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.382 * [taylor]: Taking taylor expansion of 2.0 in n 0.382 * [taylor]: Taking taylor expansion of (* n PI) in n 0.382 * [taylor]: Taking taylor expansion of n in n 0.383 * [taylor]: Taking taylor expansion of PI in n 0.388 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.388 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.388 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.388 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.388 * [taylor]: Taking taylor expansion of 0.5 in n 0.388 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.388 * [taylor]: Taking taylor expansion of 1.0 in n 0.388 * [taylor]: Taking taylor expansion of k in n 0.388 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.388 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.388 * [taylor]: Taking taylor expansion of 2.0 in n 0.388 * [taylor]: Taking taylor expansion of (* n PI) in n 0.388 * [taylor]: Taking taylor expansion of n in n 0.388 * [taylor]: Taking taylor expansion of PI in n 0.394 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.394 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.394 * [taylor]: Taking taylor expansion of 0.5 in k 0.394 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.394 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.394 * [taylor]: Taking taylor expansion of 1.0 in k 0.394 * [taylor]: Taking taylor expansion of k in k 0.394 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.394 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.394 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.394 * [taylor]: Taking taylor expansion of 2.0 in k 0.394 * [taylor]: Taking taylor expansion of PI in k 0.395 * [taylor]: Taking taylor expansion of (log n) in k 0.395 * [taylor]: Taking taylor expansion of n in k 0.405 * [taylor]: Taking taylor expansion of 0 in k 0.421 * [taylor]: Taking taylor expansion of 0 in k 0.442 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.442 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.442 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.442 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.442 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.442 * [taylor]: Taking taylor expansion of 0.5 in k 0.442 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.442 * [taylor]: Taking taylor expansion of 1.0 in k 0.442 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.442 * [taylor]: Taking taylor expansion of k in k 0.442 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.442 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.442 * [taylor]: Taking taylor expansion of 2.0 in k 0.442 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.442 * [taylor]: Taking taylor expansion of PI in k 0.442 * [taylor]: Taking taylor expansion of n in k 0.443 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.443 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.443 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.443 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.443 * [taylor]: Taking taylor expansion of 0.5 in n 0.443 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.443 * [taylor]: Taking taylor expansion of 1.0 in n 0.443 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.443 * [taylor]: Taking taylor expansion of k in n 0.443 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.443 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.443 * [taylor]: Taking taylor expansion of 2.0 in n 0.443 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.443 * [taylor]: Taking taylor expansion of PI in n 0.443 * [taylor]: Taking taylor expansion of n in n 0.447 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.447 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.447 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.447 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.447 * [taylor]: Taking taylor expansion of 0.5 in n 0.447 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.447 * [taylor]: Taking taylor expansion of 1.0 in n 0.447 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.448 * [taylor]: Taking taylor expansion of k in n 0.448 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.448 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.448 * [taylor]: Taking taylor expansion of 2.0 in n 0.448 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.448 * [taylor]: Taking taylor expansion of PI in n 0.448 * [taylor]: Taking taylor expansion of n in n 0.452 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.452 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.452 * [taylor]: Taking taylor expansion of 0.5 in k 0.452 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.452 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.452 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.452 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.452 * [taylor]: Taking taylor expansion of 2.0 in k 0.452 * [taylor]: Taking taylor expansion of PI in k 0.453 * [taylor]: Taking taylor expansion of (log n) in k 0.453 * [taylor]: Taking taylor expansion of n in k 0.453 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.453 * [taylor]: Taking taylor expansion of 1.0 in k 0.453 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.453 * [taylor]: Taking taylor expansion of k in k 0.467 * [taylor]: Taking taylor expansion of 0 in k 0.475 * [taylor]: Taking taylor expansion of 0 in k 0.484 * [taylor]: Taking taylor expansion of 0 in k 0.486 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.486 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.486 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.486 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.486 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.486 * [taylor]: Taking taylor expansion of 0.5 in k 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.486 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.486 * [taylor]: Taking taylor expansion of k in k 0.486 * [taylor]: Taking taylor expansion of 1.0 in k 0.486 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.486 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.486 * [taylor]: Taking taylor expansion of -2.0 in k 0.486 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.486 * [taylor]: Taking taylor expansion of PI in k 0.486 * [taylor]: Taking taylor expansion of n in k 0.487 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.487 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.487 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.487 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.487 * [taylor]: Taking taylor expansion of 0.5 in n 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.487 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.487 * [taylor]: Taking taylor expansion of k in n 0.487 * [taylor]: Taking taylor expansion of 1.0 in n 0.487 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.487 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.487 * [taylor]: Taking taylor expansion of -2.0 in n 0.487 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.487 * [taylor]: Taking taylor expansion of PI in n 0.487 * [taylor]: Taking taylor expansion of n in n 0.491 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.491 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.491 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.491 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.491 * [taylor]: Taking taylor expansion of 0.5 in n 0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.491 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.491 * [taylor]: Taking taylor expansion of k in n 0.491 * [taylor]: Taking taylor expansion of 1.0 in n 0.491 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.491 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.491 * [taylor]: Taking taylor expansion of -2.0 in n 0.491 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.491 * [taylor]: Taking taylor expansion of PI in n 0.491 * [taylor]: Taking taylor expansion of n in n 0.495 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.495 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.495 * [taylor]: Taking taylor expansion of 0.5 in k 0.495 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.495 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.495 * [taylor]: Taking taylor expansion of k in k 0.496 * [taylor]: Taking taylor expansion of 1.0 in k 0.496 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.496 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.496 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.496 * [taylor]: Taking taylor expansion of -2.0 in k 0.496 * [taylor]: Taking taylor expansion of PI in k 0.497 * [taylor]: Taking taylor expansion of (log n) in k 0.497 * [taylor]: Taking taylor expansion of n in k 0.506 * [taylor]: Taking taylor expansion of 0 in k 0.513 * [taylor]: Taking taylor expansion of 0 in k 0.523 * [taylor]: Taking taylor expansion of 0 in k 0.524 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.524 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.524 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.524 * [taylor]: Taking taylor expansion of 1.0 in k 0.524 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.524 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.524 * [taylor]: Taking taylor expansion of k in k 0.525 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.525 * [taylor]: Taking taylor expansion of 1.0 in k 0.525 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.525 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.525 * [taylor]: Taking taylor expansion of k in k 0.537 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.537 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.537 * [taylor]: Taking taylor expansion of 1.0 in k 0.537 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.537 * [taylor]: Taking taylor expansion of k in k 0.538 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.538 * [taylor]: Taking taylor expansion of 1.0 in k 0.538 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.538 * [taylor]: Taking taylor expansion of k in k 0.552 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.552 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.552 * [taylor]: Taking taylor expansion of 1.0 in k 0.552 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.552 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.552 * [taylor]: Taking taylor expansion of -1 in k 0.552 * [taylor]: Taking taylor expansion of k in k 0.554 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.554 * [taylor]: Taking taylor expansion of 1.0 in k 0.554 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.554 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.554 * [taylor]: Taking taylor expansion of -1 in k 0.554 * [taylor]: Taking taylor expansion of k in k 0.566 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.566 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.566 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.566 * [taylor]: Taking taylor expansion of 2.0 in n 0.566 * [taylor]: Taking taylor expansion of (* n PI) in n 0.566 * [taylor]: Taking taylor expansion of n in n 0.566 * [taylor]: Taking taylor expansion of PI in n 0.566 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.566 * [taylor]: Taking taylor expansion of 2.0 in n 0.566 * [taylor]: Taking taylor expansion of (* n PI) in n 0.567 * [taylor]: Taking taylor expansion of n in n 0.567 * [taylor]: Taking taylor expansion of PI in n 0.579 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.579 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.579 * [taylor]: Taking taylor expansion of 2.0 in n 0.579 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.579 * [taylor]: Taking taylor expansion of PI in n 0.579 * [taylor]: Taking taylor expansion of n in n 0.580 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.580 * [taylor]: Taking taylor expansion of 2.0 in n 0.580 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.580 * [taylor]: Taking taylor expansion of PI in n 0.580 * [taylor]: Taking taylor expansion of n in n 0.589 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.589 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.589 * [taylor]: Taking taylor expansion of -2.0 in n 0.589 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.589 * [taylor]: Taking taylor expansion of PI in n 0.589 * [taylor]: Taking taylor expansion of n in n 0.590 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.590 * [taylor]: Taking taylor expansion of -2.0 in n 0.590 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.590 * [taylor]: Taking taylor expansion of PI in n 0.590 * [taylor]: Taking taylor expansion of n in n 0.599 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.599 * [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 0.599 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.599 * [taylor]: Taking taylor expansion of 1.0 in n 0.599 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.599 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.599 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.599 * [taylor]: Taking taylor expansion of k in n 0.600 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.600 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.600 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.600 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.600 * [taylor]: Taking taylor expansion of 0.5 in n 0.600 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.600 * [taylor]: Taking taylor expansion of 1.0 in n 0.600 * [taylor]: Taking taylor expansion of k in n 0.600 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.600 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.600 * [taylor]: Taking taylor expansion of 2.0 in n 0.600 * [taylor]: Taking taylor expansion of (* n PI) in n 0.600 * [taylor]: Taking taylor expansion of n in n 0.600 * [taylor]: Taking taylor expansion of PI in n 0.605 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.605 * [taylor]: Taking taylor expansion of 1.0 in k 0.605 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.605 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.605 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.605 * [taylor]: Taking taylor expansion of k in k 0.607 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.607 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.607 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.607 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.607 * [taylor]: Taking taylor expansion of 0.5 in k 0.607 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.607 * [taylor]: Taking taylor expansion of 1.0 in k 0.607 * [taylor]: Taking taylor expansion of k in k 0.607 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.607 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.607 * [taylor]: Taking taylor expansion of 2.0 in k 0.607 * [taylor]: Taking taylor expansion of (* n PI) in k 0.607 * [taylor]: Taking taylor expansion of n in k 0.607 * [taylor]: Taking taylor expansion of PI in k 0.608 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.608 * [taylor]: Taking taylor expansion of 1.0 in k 0.608 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.608 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.608 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.608 * [taylor]: Taking taylor expansion of k in k 0.609 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.609 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.610 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.610 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.610 * [taylor]: Taking taylor expansion of 0.5 in k 0.610 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.610 * [taylor]: Taking taylor expansion of 1.0 in k 0.610 * [taylor]: Taking taylor expansion of k in k 0.610 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.610 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.610 * [taylor]: Taking taylor expansion of 2.0 in k 0.610 * [taylor]: Taking taylor expansion of (* n PI) in k 0.610 * [taylor]: Taking taylor expansion of n in k 0.610 * [taylor]: Taking taylor expansion of PI in k 0.611 * [taylor]: Taking taylor expansion of 0 in n 0.617 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.617 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.617 * [taylor]: Taking taylor expansion of +nan.0 in n 0.617 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.617 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.617 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.617 * [taylor]: Taking taylor expansion of 0.5 in n 0.617 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.617 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.617 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.617 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.617 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.617 * [taylor]: Taking taylor expansion of 1.0 in n 0.617 * [taylor]: Taking taylor expansion of (log PI) in n 0.617 * [taylor]: Taking taylor expansion of PI in n 0.619 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.619 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.619 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.619 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.619 * [taylor]: Taking taylor expansion of 1.0 in n 0.619 * [taylor]: Taking taylor expansion of (log n) in n 0.619 * [taylor]: Taking taylor expansion of n in n 0.620 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.620 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.620 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.620 * [taylor]: Taking taylor expansion of 1.0 in n 0.620 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.620 * [taylor]: Taking taylor expansion of 2.0 in n 0.643 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 0.643 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 0.643 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.643 * [taylor]: Taking taylor expansion of +nan.0 in n 0.643 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.643 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.643 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.643 * [taylor]: Taking taylor expansion of 0.5 in n 0.643 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.643 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.643 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.643 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.643 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.643 * [taylor]: Taking taylor expansion of 1.0 in n 0.643 * [taylor]: Taking taylor expansion of (log PI) in n 0.643 * [taylor]: Taking taylor expansion of PI in n 0.645 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.645 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.645 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.645 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.645 * [taylor]: Taking taylor expansion of 1.0 in n 0.645 * [taylor]: Taking taylor expansion of (log n) in n 0.645 * [taylor]: Taking taylor expansion of n in n 0.646 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.646 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.646 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.646 * [taylor]: Taking taylor expansion of 1.0 in n 0.646 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.646 * [taylor]: Taking taylor expansion of 2.0 in n 0.651 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 0.651 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.651 * [taylor]: Taking taylor expansion of +nan.0 in n 0.651 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.651 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.651 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.651 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.651 * [taylor]: Taking taylor expansion of 0.5 in n 0.651 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.651 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.651 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.651 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.651 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.651 * [taylor]: Taking taylor expansion of 1.0 in n 0.652 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.652 * [taylor]: Taking taylor expansion of 2.0 in n 0.653 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.653 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.653 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.654 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.654 * [taylor]: Taking taylor expansion of 1.0 in n 0.654 * [taylor]: Taking taylor expansion of (log PI) in n 0.654 * [taylor]: Taking taylor expansion of PI in n 0.655 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.655 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.655 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.656 * [taylor]: Taking taylor expansion of 1.0 in n 0.656 * [taylor]: Taking taylor expansion of (log n) in n 0.656 * [taylor]: Taking taylor expansion of n in n 0.660 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.660 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.660 * [taylor]: Taking taylor expansion of 2.0 in n 0.660 * [taylor]: Taking taylor expansion of (* n PI) in n 0.660 * [taylor]: Taking taylor expansion of n in n 0.660 * [taylor]: Taking taylor expansion of PI in n 0.712 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 0.712 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 0.712 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.712 * [taylor]: Taking taylor expansion of +nan.0 in n 0.712 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.712 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.712 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.712 * [taylor]: Taking taylor expansion of 0.5 in n 0.712 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.712 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.712 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.712 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.712 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.712 * [taylor]: Taking taylor expansion of 1.0 in n 0.712 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.712 * [taylor]: Taking taylor expansion of 2.0 in n 0.714 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.714 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.714 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.714 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.714 * [taylor]: Taking taylor expansion of 1.0 in n 0.714 * [taylor]: Taking taylor expansion of (log n) in n 0.714 * [taylor]: Taking taylor expansion of n in n 0.714 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.714 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.714 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.714 * [taylor]: Taking taylor expansion of 1.0 in n 0.715 * [taylor]: Taking taylor expansion of (log PI) in n 0.715 * [taylor]: Taking taylor expansion of PI in n 0.720 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 0.720 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 0.720 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.720 * [taylor]: Taking taylor expansion of +nan.0 in n 0.720 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.720 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.720 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.720 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.721 * [taylor]: Taking taylor expansion of 0.5 in n 0.721 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.721 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.721 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.721 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.721 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.721 * [taylor]: Taking taylor expansion of 1.0 in n 0.721 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.721 * [taylor]: Taking taylor expansion of 2.0 in n 0.722 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.722 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.723 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.723 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.723 * [taylor]: Taking taylor expansion of 1.0 in n 0.723 * [taylor]: Taking taylor expansion of (log PI) in n 0.723 * [taylor]: Taking taylor expansion of PI in n 0.728 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.728 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.728 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.728 * [taylor]: Taking taylor expansion of 1.0 in n 0.728 * [taylor]: Taking taylor expansion of (log n) in n 0.728 * [taylor]: Taking taylor expansion of n in n 0.732 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.732 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.732 * [taylor]: Taking taylor expansion of 2.0 in n 0.732 * [taylor]: Taking taylor expansion of (* n PI) in n 0.732 * [taylor]: Taking taylor expansion of n in n 0.732 * [taylor]: Taking taylor expansion of PI in n 0.735 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 0.735 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 0.735 * [taylor]: Taking taylor expansion of +nan.0 in n 0.736 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 0.736 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.736 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.736 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.736 * [taylor]: Taking taylor expansion of 0.5 in n 0.736 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.736 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.736 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.736 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.736 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.736 * [taylor]: Taking taylor expansion of 1.0 in n 0.736 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.736 * [taylor]: Taking taylor expansion of 2.0 in n 0.738 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.738 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.738 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.738 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.738 * [taylor]: Taking taylor expansion of 1.0 in n 0.738 * [taylor]: Taking taylor expansion of (log PI) in n 0.738 * [taylor]: Taking taylor expansion of PI in n 0.740 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.740 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.740 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.740 * [taylor]: Taking taylor expansion of 1.0 in n 0.740 * [taylor]: Taking taylor expansion of (log n) in n 0.740 * [taylor]: Taking taylor expansion of n in n 0.744 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.744 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.744 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.744 * [taylor]: Taking taylor expansion of 2.0 in n 0.744 * [taylor]: Taking taylor expansion of (* n PI) in n 0.744 * [taylor]: Taking taylor expansion of n in n 0.744 * [taylor]: Taking taylor expansion of PI in n 0.823 * [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 0.823 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.824 * [taylor]: Taking taylor expansion of 1.0 in n 0.824 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.824 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.824 * [taylor]: Taking taylor expansion of k in n 0.824 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.824 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.824 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.824 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.824 * [taylor]: Taking taylor expansion of 0.5 in n 0.824 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.824 * [taylor]: Taking taylor expansion of 1.0 in n 0.824 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.824 * [taylor]: Taking taylor expansion of k in n 0.824 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.824 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.824 * [taylor]: Taking taylor expansion of 2.0 in n 0.824 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.824 * [taylor]: Taking taylor expansion of PI in n 0.824 * [taylor]: Taking taylor expansion of n in n 0.828 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.828 * [taylor]: Taking taylor expansion of 1.0 in k 0.828 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.828 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.828 * [taylor]: Taking taylor expansion of k in k 0.829 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.829 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.829 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.829 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.829 * [taylor]: Taking taylor expansion of 0.5 in k 0.829 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.829 * [taylor]: Taking taylor expansion of 1.0 in k 0.829 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.829 * [taylor]: Taking taylor expansion of k in k 0.829 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.830 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.830 * [taylor]: Taking taylor expansion of 2.0 in k 0.830 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.830 * [taylor]: Taking taylor expansion of PI in k 0.830 * [taylor]: Taking taylor expansion of n in k 0.831 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.831 * [taylor]: Taking taylor expansion of 1.0 in k 0.831 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.831 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.831 * [taylor]: Taking taylor expansion of k in k 0.832 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.832 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.832 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.832 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.832 * [taylor]: Taking taylor expansion of 0.5 in k 0.832 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.832 * [taylor]: Taking taylor expansion of 1.0 in k 0.832 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.832 * [taylor]: Taking taylor expansion of k in k 0.832 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.832 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.832 * [taylor]: Taking taylor expansion of 2.0 in k 0.832 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.832 * [taylor]: Taking taylor expansion of PI in k 0.832 * [taylor]: Taking taylor expansion of n in k 0.834 * [taylor]: Taking taylor expansion of 0 in n 0.835 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.835 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.835 * [taylor]: Taking taylor expansion of +nan.0 in n 0.835 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.835 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.835 * [taylor]: Taking taylor expansion of 0.5 in n 0.835 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.835 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.835 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.835 * [taylor]: Taking taylor expansion of 2.0 in n 0.835 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.835 * [taylor]: Taking taylor expansion of PI in n 0.835 * [taylor]: Taking taylor expansion of n in n 0.836 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.836 * [taylor]: Taking taylor expansion of 1.0 in n 0.836 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.836 * [taylor]: Taking taylor expansion of k in n 0.845 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.845 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.845 * [taylor]: Taking taylor expansion of +nan.0 in n 0.845 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.845 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.845 * [taylor]: Taking taylor expansion of 0.5 in n 0.845 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.845 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.845 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.845 * [taylor]: Taking taylor expansion of 2.0 in n 0.845 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.845 * [taylor]: Taking taylor expansion of PI in n 0.845 * [taylor]: Taking taylor expansion of n in n 0.847 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.847 * [taylor]: Taking taylor expansion of 1.0 in n 0.847 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.847 * [taylor]: Taking taylor expansion of k in n 0.864 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.864 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.864 * [taylor]: Taking taylor expansion of +nan.0 in n 0.864 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.864 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.864 * [taylor]: Taking taylor expansion of 0.5 in n 0.864 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.864 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.864 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.864 * [taylor]: Taking taylor expansion of 2.0 in n 0.864 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.864 * [taylor]: Taking taylor expansion of PI in n 0.864 * [taylor]: Taking taylor expansion of n in n 0.866 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.866 * [taylor]: Taking taylor expansion of 1.0 in n 0.866 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.866 * [taylor]: Taking taylor expansion of k in n 0.875 * [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 0.875 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.875 * [taylor]: Taking taylor expansion of 1.0 in n 0.875 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.875 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.875 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.875 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.875 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.875 * [taylor]: Taking taylor expansion of 0.5 in n 0.875 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.875 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.875 * [taylor]: Taking taylor expansion of k in n 0.875 * [taylor]: Taking taylor expansion of 1.0 in n 0.875 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.875 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.875 * [taylor]: Taking taylor expansion of -2.0 in n 0.875 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.875 * [taylor]: Taking taylor expansion of PI in n 0.875 * [taylor]: Taking taylor expansion of n in n 0.879 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.879 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.879 * [taylor]: Taking taylor expansion of -1 in n 0.879 * [taylor]: Taking taylor expansion of k in n 0.880 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.880 * [taylor]: Taking taylor expansion of 1.0 in k 0.880 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.880 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.880 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.880 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.880 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.880 * [taylor]: Taking taylor expansion of 0.5 in k 0.880 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.880 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.880 * [taylor]: Taking taylor expansion of k in k 0.881 * [taylor]: Taking taylor expansion of 1.0 in k 0.881 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.881 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.881 * [taylor]: Taking taylor expansion of -2.0 in k 0.881 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.881 * [taylor]: Taking taylor expansion of PI in k 0.881 * [taylor]: Taking taylor expansion of n in k 0.882 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.882 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.882 * [taylor]: Taking taylor expansion of -1 in k 0.882 * [taylor]: Taking taylor expansion of k in k 0.883 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.883 * [taylor]: Taking taylor expansion of 1.0 in k 0.883 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.883 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.883 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.883 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.883 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.883 * [taylor]: Taking taylor expansion of 0.5 in k 0.883 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.883 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.883 * [taylor]: Taking taylor expansion of k in k 0.884 * [taylor]: Taking taylor expansion of 1.0 in k 0.884 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.884 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.884 * [taylor]: Taking taylor expansion of -2.0 in k 0.884 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.884 * [taylor]: Taking taylor expansion of PI in k 0.884 * [taylor]: Taking taylor expansion of n in k 0.885 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.885 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.885 * [taylor]: Taking taylor expansion of -1 in k 0.885 * [taylor]: Taking taylor expansion of k in k 0.886 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.887 * [taylor]: Taking taylor expansion of +nan.0 in n 0.887 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.887 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.887 * [taylor]: Taking taylor expansion of 0.5 in n 0.887 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.887 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.887 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.887 * [taylor]: Taking taylor expansion of k in n 0.887 * [taylor]: Taking taylor expansion of 1.0 in n 0.887 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.887 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.887 * [taylor]: Taking taylor expansion of -2.0 in n 0.887 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.887 * [taylor]: Taking taylor expansion of PI in n 0.887 * [taylor]: Taking taylor expansion of n in n 0.896 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.896 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.896 * [taylor]: Taking taylor expansion of +nan.0 in n 0.896 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.896 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.896 * [taylor]: Taking taylor expansion of 0.5 in n 0.896 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.896 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.896 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.896 * [taylor]: Taking taylor expansion of k in n 0.896 * [taylor]: Taking taylor expansion of 1.0 in n 0.896 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.896 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.896 * [taylor]: Taking taylor expansion of -2.0 in n 0.896 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.896 * [taylor]: Taking taylor expansion of PI in n 0.896 * [taylor]: Taking taylor expansion of n in n 0.918 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.918 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.918 * [taylor]: Taking taylor expansion of +nan.0 in n 0.918 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.918 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.918 * [taylor]: Taking taylor expansion of 0.5 in n 0.918 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.918 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.918 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.918 * [taylor]: Taking taylor expansion of k in n 0.918 * [taylor]: Taking taylor expansion of 1.0 in n 0.918 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.918 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.918 * [taylor]: Taking taylor expansion of -2.0 in n 0.918 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.918 * [taylor]: Taking taylor expansion of PI in n 0.918 * [taylor]: Taking taylor expansion of n in n 0.928 * * * [progress]: simplifying candidates 0.931 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (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)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (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))) (- 1.0) (- (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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (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))) 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1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 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)))))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 1.031 * * * [progress]: adding candidates to table 1.466 * * [progress]: iteration 2 / 4 1.466 * * * [progress]: picking best candidate 1.494 * * * * [pick]: Picked # 1.494 * * * [progress]: localizing error 1.512 * * * [progress]: generating rewritten candidates 1.513 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.519 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.529 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 1.535 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.543 * * * [progress]: generating series expansions 1.543 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.544 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.544 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.544 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.544 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.544 * [taylor]: Taking taylor expansion of 0.5 in n 1.544 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.544 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.544 * [taylor]: Taking taylor expansion of 2.0 in n 1.544 * [taylor]: Taking taylor expansion of (* n PI) in n 1.544 * [taylor]: Taking taylor expansion of n in n 1.544 * [taylor]: Taking taylor expansion of PI in n 1.550 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.550 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.550 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.550 * [taylor]: Taking taylor expansion of 0.5 in n 1.550 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.550 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.550 * [taylor]: Taking taylor expansion of 2.0 in n 1.550 * [taylor]: Taking taylor expansion of (* n PI) in n 1.550 * [taylor]: Taking taylor expansion of n in n 1.550 * [taylor]: Taking taylor expansion of PI in n 1.636 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.636 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.636 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.636 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.636 * [taylor]: Taking taylor expansion of 0.5 in n 1.636 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.636 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.636 * [taylor]: Taking taylor expansion of 2.0 in n 1.636 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.636 * [taylor]: Taking taylor expansion of PI in n 1.636 * [taylor]: Taking taylor expansion of n in n 1.640 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.640 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.640 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.640 * [taylor]: Taking taylor expansion of 0.5 in n 1.640 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.640 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.640 * [taylor]: Taking taylor expansion of 2.0 in n 1.640 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.640 * [taylor]: Taking taylor expansion of PI in n 1.640 * [taylor]: Taking taylor expansion of n in n 1.722 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.722 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.722 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.722 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.722 * [taylor]: Taking taylor expansion of 0.5 in n 1.722 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.722 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.722 * [taylor]: Taking taylor expansion of -2.0 in n 1.722 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.722 * [taylor]: Taking taylor expansion of PI in n 1.722 * [taylor]: Taking taylor expansion of n in n 1.726 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.726 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.726 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.726 * [taylor]: Taking taylor expansion of 0.5 in n 1.726 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.726 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.726 * [taylor]: Taking taylor expansion of -2.0 in n 1.726 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.726 * [taylor]: Taking taylor expansion of PI in n 1.726 * [taylor]: Taking taylor expansion of n in n 1.807 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.808 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in (n k) around 0 1.808 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.808 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.808 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.808 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.808 * [taylor]: Taking taylor expansion of 0.5 in k 1.808 * [taylor]: Taking taylor expansion of k in k 1.808 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.808 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.808 * [taylor]: Taking taylor expansion of 2.0 in k 1.808 * [taylor]: Taking taylor expansion of (* n PI) in k 1.808 * [taylor]: Taking taylor expansion of n in k 1.808 * [taylor]: Taking taylor expansion of PI in k 1.811 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.811 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.811 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.811 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.811 * [taylor]: Taking taylor expansion of 0.5 in n 1.811 * [taylor]: Taking taylor expansion of k in n 1.811 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.811 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.811 * [taylor]: Taking taylor expansion of 2.0 in n 1.811 * [taylor]: Taking taylor expansion of (* n PI) in n 1.811 * [taylor]: Taking taylor expansion of n in n 1.811 * [taylor]: Taking taylor expansion of PI in n 1.817 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.817 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.817 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.817 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.817 * [taylor]: Taking taylor expansion of 0.5 in n 1.817 * [taylor]: Taking taylor expansion of k in n 1.817 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.817 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.817 * [taylor]: Taking taylor expansion of 2.0 in n 1.817 * [taylor]: Taking taylor expansion of (* n PI) in n 1.817 * [taylor]: Taking taylor expansion of n in n 1.817 * [taylor]: Taking taylor expansion of PI in n 1.822 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.822 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.823 * [taylor]: Taking taylor expansion of 0.5 in k 1.823 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.823 * [taylor]: Taking taylor expansion of k in k 1.823 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.823 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.823 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.823 * [taylor]: Taking taylor expansion of 2.0 in k 1.823 * [taylor]: Taking taylor expansion of PI in k 1.824 * [taylor]: Taking taylor expansion of (log n) in k 1.824 * [taylor]: Taking taylor expansion of n in k 1.834 * [taylor]: Taking taylor expansion of 0 in k 1.844 * [taylor]: Taking taylor expansion of 0 in k 1.865 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in (n k) around 0 1.865 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.865 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.865 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.865 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.866 * [taylor]: Taking taylor expansion of 0.5 in k 1.866 * [taylor]: Taking taylor expansion of k in k 1.866 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.866 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.866 * [taylor]: Taking taylor expansion of 2.0 in k 1.866 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.866 * [taylor]: Taking taylor expansion of PI in k 1.866 * [taylor]: Taking taylor expansion of n in k 1.866 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.866 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.866 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.866 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.866 * [taylor]: Taking taylor expansion of 0.5 in n 1.866 * [taylor]: Taking taylor expansion of k in n 1.866 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.866 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.866 * [taylor]: Taking taylor expansion of 2.0 in n 1.866 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.866 * [taylor]: Taking taylor expansion of PI in n 1.866 * [taylor]: Taking taylor expansion of n in n 1.870 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.870 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.870 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.870 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.870 * [taylor]: Taking taylor expansion of 0.5 in n 1.870 * [taylor]: Taking taylor expansion of k in n 1.870 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.870 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.870 * [taylor]: Taking taylor expansion of 2.0 in n 1.870 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.870 * [taylor]: Taking taylor expansion of PI in n 1.870 * [taylor]: Taking taylor expansion of n in n 1.874 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.874 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.874 * [taylor]: Taking taylor expansion of 0.5 in k 1.874 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.874 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.874 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.874 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.874 * [taylor]: Taking taylor expansion of 2.0 in k 1.874 * [taylor]: Taking taylor expansion of PI in k 1.875 * [taylor]: Taking taylor expansion of (log n) in k 1.875 * [taylor]: Taking taylor expansion of n in k 1.875 * [taylor]: Taking taylor expansion of k in k 1.883 * [taylor]: Taking taylor expansion of 0 in k 1.890 * [taylor]: Taking taylor expansion of 0 in k 1.898 * [taylor]: Taking taylor expansion of 0 in k 1.899 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in (n k) around 0 1.899 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.899 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.899 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.899 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.899 * [taylor]: Taking taylor expansion of -0.5 in k 1.899 * [taylor]: Taking taylor expansion of k in k 1.900 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.900 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.900 * [taylor]: Taking taylor expansion of -2.0 in k 1.900 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.900 * [taylor]: Taking taylor expansion of PI in k 1.900 * [taylor]: Taking taylor expansion of n in k 1.900 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.900 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.900 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.900 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.900 * [taylor]: Taking taylor expansion of -0.5 in n 1.900 * [taylor]: Taking taylor expansion of k in n 1.900 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.900 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.900 * [taylor]: Taking taylor expansion of -2.0 in n 1.900 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.900 * [taylor]: Taking taylor expansion of PI in n 1.900 * [taylor]: Taking taylor expansion of n in n 1.904 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.904 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.904 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.904 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.904 * [taylor]: Taking taylor expansion of -0.5 in n 1.904 * [taylor]: Taking taylor expansion of k in n 1.904 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.904 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.904 * [taylor]: Taking taylor expansion of -2.0 in n 1.904 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.904 * [taylor]: Taking taylor expansion of PI in n 1.904 * [taylor]: Taking taylor expansion of n in n 1.908 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.908 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.908 * [taylor]: Taking taylor expansion of -0.5 in k 1.908 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.908 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.908 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.908 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.908 * [taylor]: Taking taylor expansion of -2.0 in k 1.908 * [taylor]: Taking taylor expansion of PI in k 1.909 * [taylor]: Taking taylor expansion of (log n) in k 1.909 * [taylor]: Taking taylor expansion of n in k 1.909 * [taylor]: Taking taylor expansion of k in k 1.918 * [taylor]: Taking taylor expansion of 0 in k 1.924 * [taylor]: Taking taylor expansion of 0 in k 1.932 * [taylor]: Taking taylor expansion of 0 in k 1.933 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 1.934 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.934 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.934 * [taylor]: Taking taylor expansion of 2.0 in n 1.934 * [taylor]: Taking taylor expansion of (* n PI) in n 1.934 * [taylor]: Taking taylor expansion of n in n 1.934 * [taylor]: Taking taylor expansion of PI in n 1.934 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.934 * [taylor]: Taking taylor expansion of 2.0 in n 1.934 * [taylor]: Taking taylor expansion of (* n PI) in n 1.934 * [taylor]: Taking taylor expansion of n in n 1.934 * [taylor]: Taking taylor expansion of PI in n 1.952 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.952 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.952 * [taylor]: Taking taylor expansion of 2.0 in n 1.952 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.952 * [taylor]: Taking taylor expansion of PI in n 1.952 * [taylor]: Taking taylor expansion of n in n 1.953 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.953 * [taylor]: Taking taylor expansion of 2.0 in n 1.953 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.953 * [taylor]: Taking taylor expansion of PI in n 1.953 * [taylor]: Taking taylor expansion of n in n 1.962 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.962 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.962 * [taylor]: Taking taylor expansion of -2.0 in n 1.962 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.962 * [taylor]: Taking taylor expansion of PI in n 1.962 * [taylor]: Taking taylor expansion of n in n 1.962 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.962 * [taylor]: Taking taylor expansion of -2.0 in n 1.962 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.963 * [taylor]: Taking taylor expansion of PI in n 1.963 * [taylor]: Taking taylor expansion of n in n 1.972 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.972 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.972 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.972 * [taylor]: Taking taylor expansion of 2.0 in n 1.973 * [taylor]: Taking taylor expansion of (* n PI) in n 1.973 * [taylor]: Taking taylor expansion of n in n 1.973 * [taylor]: Taking taylor expansion of PI in n 1.973 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.973 * [taylor]: Taking taylor expansion of 2.0 in n 1.973 * [taylor]: Taking taylor expansion of (* n PI) in n 1.973 * [taylor]: Taking taylor expansion of n in n 1.973 * [taylor]: Taking taylor expansion of PI in n 1.986 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.986 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.986 * [taylor]: Taking taylor expansion of 2.0 in n 1.986 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.986 * [taylor]: Taking taylor expansion of PI in n 1.986 * [taylor]: Taking taylor expansion of n in n 1.986 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.986 * [taylor]: Taking taylor expansion of 2.0 in n 1.986 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.986 * [taylor]: Taking taylor expansion of PI in n 1.986 * [taylor]: Taking taylor expansion of n in n 1.995 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.995 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.995 * [taylor]: Taking taylor expansion of -2.0 in n 1.995 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.995 * [taylor]: Taking taylor expansion of PI in n 1.995 * [taylor]: Taking taylor expansion of n in n 1.996 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.996 * [taylor]: Taking taylor expansion of -2.0 in n 1.996 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.996 * [taylor]: Taking taylor expansion of PI in n 1.996 * [taylor]: Taking taylor expansion of n in n 2.005 * * * [progress]: simplifying candidates 2.006 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (expm1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt k) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (+ 1 (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (+ (* 0.5 (* k (log n))) (* 0.5 (* k (log (* 2.0 PI))))))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 2.012 * * [simplify]: iteration 0 : 463 enodes (cost 557 ) 2.020 * * [simplify]: iteration 1 : 1809 enodes (cost 510 ) 2.053 * * [simplify]: iteration 2 : 5001 enodes (cost 503 ) 2.056 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (expm1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (/ k 2.0) (/ k 2.0) (/ k 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt k) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (pow (* (* 2.0 PI) n) (/ k 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (fma 1 1 (fma (* 0.125 (pow k 2)) (+ (pow (log n) 2) (pow (log (* 2.0 PI)) 2)) (fma (* (* 0.25 (pow k 2)) (log n)) (log (* 2.0 PI)) (* (* 0.5 k) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) (* 0.5 k)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 2.057 * * * [progress]: adding candidates to table 2.366 * * [progress]: iteration 3 / 4 2.366 * * * [progress]: picking best candidate 2.396 * * * * [pick]: Picked # 2.396 * * * [progress]: localizing error 2.412 * * * [progress]: generating rewritten candidates 2.412 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.420 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.428 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.435 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.457 * * * [progress]: generating series expansions 2.457 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.457 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 2.457 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.457 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.457 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.457 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.457 * [taylor]: Taking taylor expansion of 0.5 in k 2.458 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.458 * [taylor]: Taking taylor expansion of 1.0 in k 2.458 * [taylor]: Taking taylor expansion of k in k 2.458 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.458 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.458 * [taylor]: Taking taylor expansion of 2.0 in k 2.458 * [taylor]: Taking taylor expansion of PI in k 2.462 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.462 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.462 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.462 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.462 * [taylor]: Taking taylor expansion of 0.5 in k 2.462 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.462 * [taylor]: Taking taylor expansion of 1.0 in k 2.462 * [taylor]: Taking taylor expansion of k in k 2.462 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.462 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.462 * [taylor]: Taking taylor expansion of 2.0 in k 2.462 * [taylor]: Taking taylor expansion of PI in k 2.513 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 2.513 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.513 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.513 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.513 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.513 * [taylor]: Taking taylor expansion of 0.5 in k 2.513 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.513 * [taylor]: Taking taylor expansion of 1.0 in k 2.513 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.513 * [taylor]: Taking taylor expansion of k in k 2.513 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.513 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.513 * [taylor]: Taking taylor expansion of 2.0 in k 2.513 * [taylor]: Taking taylor expansion of PI in k 2.523 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.523 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.523 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.523 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.523 * [taylor]: Taking taylor expansion of 0.5 in k 2.523 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.523 * [taylor]: Taking taylor expansion of 1.0 in k 2.523 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.523 * [taylor]: Taking taylor expansion of k in k 2.523 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.523 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.523 * [taylor]: Taking taylor expansion of 2.0 in k 2.523 * [taylor]: Taking taylor expansion of PI in k 2.529 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 2.529 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.529 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.529 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.529 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.529 * [taylor]: Taking taylor expansion of 0.5 in k 2.529 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.529 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.529 * [taylor]: Taking taylor expansion of k in k 2.529 * [taylor]: Taking taylor expansion of 1.0 in k 2.530 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.530 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.530 * [taylor]: Taking taylor expansion of 2.0 in k 2.530 * [taylor]: Taking taylor expansion of PI in k 2.533 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.533 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.533 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.533 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.533 * [taylor]: Taking taylor expansion of 0.5 in k 2.533 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.533 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.533 * [taylor]: Taking taylor expansion of k in k 2.533 * [taylor]: Taking taylor expansion of 1.0 in k 2.533 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.533 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.533 * [taylor]: Taking taylor expansion of 2.0 in k 2.533 * [taylor]: Taking taylor expansion of PI in k 2.538 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.539 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in (k n) around 0 2.539 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 2.539 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 2.539 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 2.539 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 2.539 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.539 * [taylor]: Taking taylor expansion of 0.5 in n 2.539 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.539 * [taylor]: Taking taylor expansion of 1.0 in n 2.539 * [taylor]: Taking taylor expansion of k in n 2.539 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.539 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.539 * [taylor]: Taking taylor expansion of 2.0 in n 2.539 * [taylor]: Taking taylor expansion of PI in n 2.541 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.542 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.542 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.542 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.542 * [taylor]: Taking taylor expansion of 0.5 in n 2.542 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.542 * [taylor]: Taking taylor expansion of 1.0 in n 2.542 * [taylor]: Taking taylor expansion of k in n 2.542 * [taylor]: Taking taylor expansion of (log n) in n 2.542 * [taylor]: Taking taylor expansion of n in n 2.542 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 2.542 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.542 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.542 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.542 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.542 * [taylor]: Taking taylor expansion of 0.5 in k 2.543 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.543 * [taylor]: Taking taylor expansion of 1.0 in k 2.543 * [taylor]: Taking taylor expansion of k in k 2.543 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.543 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.543 * [taylor]: Taking taylor expansion of 2.0 in k 2.543 * [taylor]: Taking taylor expansion of PI in k 2.547 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.547 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.547 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.547 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.547 * [taylor]: Taking taylor expansion of 0.5 in k 2.547 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.547 * [taylor]: Taking taylor expansion of 1.0 in k 2.547 * [taylor]: Taking taylor expansion of k in k 2.547 * [taylor]: Taking taylor expansion of (log n) in k 2.547 * [taylor]: Taking taylor expansion of n in k 2.548 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 2.548 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.548 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.548 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.548 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.548 * [taylor]: Taking taylor expansion of 0.5 in k 2.548 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.548 * [taylor]: Taking taylor expansion of 1.0 in k 2.548 * [taylor]: Taking taylor expansion of k in k 2.548 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.548 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.548 * [taylor]: Taking taylor expansion of 2.0 in k 2.548 * [taylor]: Taking taylor expansion of PI in k 2.553 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.553 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.553 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.553 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.553 * [taylor]: Taking taylor expansion of 0.5 in k 2.553 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.553 * [taylor]: Taking taylor expansion of 1.0 in k 2.553 * [taylor]: Taking taylor expansion of k in k 2.553 * [taylor]: Taking taylor expansion of (log n) in k 2.553 * [taylor]: Taking taylor expansion of n in k 2.555 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.555 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.555 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.555 * [taylor]: Taking taylor expansion of 0.5 in n 2.555 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.555 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.555 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.555 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.555 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.555 * [taylor]: Taking taylor expansion of 1.0 in n 2.555 * [taylor]: Taking taylor expansion of (log PI) in n 2.555 * [taylor]: Taking taylor expansion of PI in n 2.557 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.557 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.557 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.557 * [taylor]: Taking taylor expansion of 1.0 in n 2.557 * [taylor]: Taking taylor expansion of (log n) in n 2.557 * [taylor]: Taking taylor expansion of n in n 2.558 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.558 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.558 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.558 * [taylor]: Taking taylor expansion of 1.0 in n 2.558 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.558 * [taylor]: Taking taylor expansion of 2.0 in n 2.585 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 2.585 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 2.585 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.585 * [taylor]: Taking taylor expansion of 0.5 in n 2.585 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.585 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.585 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.585 * [taylor]: Taking taylor expansion of 2.0 in n 2.585 * [taylor]: Taking taylor expansion of PI in n 2.586 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.586 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.586 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.586 * [taylor]: Taking taylor expansion of 0.5 in n 2.586 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.586 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.586 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.586 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.586 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.586 * [taylor]: Taking taylor expansion of 1.0 in n 2.586 * [taylor]: Taking taylor expansion of (log PI) in n 2.586 * [taylor]: Taking taylor expansion of PI in n 2.588 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.588 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.588 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.588 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.588 * [taylor]: Taking taylor expansion of 1.0 in n 2.588 * [taylor]: Taking taylor expansion of (log n) in n 2.588 * [taylor]: Taking taylor expansion of n in n 2.589 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.589 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.589 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.589 * [taylor]: Taking taylor expansion of 1.0 in n 2.589 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.589 * [taylor]: Taking taylor expansion of 2.0 in n 2.594 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.594 * [taylor]: Taking taylor expansion of 0.5 in n 2.594 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.594 * [taylor]: Taking taylor expansion of (log n) in n 2.594 * [taylor]: Taking taylor expansion of n in n 2.595 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.595 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.595 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.595 * [taylor]: Taking taylor expansion of 0.5 in n 2.595 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.595 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.595 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.595 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.595 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.595 * [taylor]: Taking taylor expansion of 1.0 in n 2.595 * [taylor]: Taking taylor expansion of (log PI) in n 2.595 * [taylor]: Taking taylor expansion of PI in n 2.597 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.597 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.597 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.597 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.597 * [taylor]: Taking taylor expansion of 1.0 in n 2.597 * [taylor]: Taking taylor expansion of (log n) in n 2.597 * [taylor]: Taking taylor expansion of n in n 2.598 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.598 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.598 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.598 * [taylor]: Taking taylor expansion of 1.0 in n 2.598 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.598 * [taylor]: Taking taylor expansion of 2.0 in n 2.660 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 2.660 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.660 * [taylor]: Taking taylor expansion of 0.125 in n 2.660 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.660 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 2.660 * [taylor]: Taking taylor expansion of (log n) in n 2.660 * [taylor]: Taking taylor expansion of n in n 2.661 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.661 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.661 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.661 * [taylor]: Taking taylor expansion of 0.5 in n 2.661 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.661 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.661 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.661 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.661 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.661 * [taylor]: Taking taylor expansion of 1.0 in n 2.661 * [taylor]: Taking taylor expansion of (log PI) in n 2.661 * [taylor]: Taking taylor expansion of PI in n 2.663 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.663 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.663 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.663 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.663 * [taylor]: Taking taylor expansion of 1.0 in n 2.663 * [taylor]: Taking taylor expansion of (log n) in n 2.663 * [taylor]: Taking taylor expansion of n in n 2.664 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.664 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.664 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.664 * [taylor]: Taking taylor expansion of 1.0 in n 2.664 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.664 * [taylor]: Taking taylor expansion of 2.0 in n 2.670 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 2.670 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 2.670 * [taylor]: Taking taylor expansion of 0.25 in n 2.670 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 2.670 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 2.670 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.670 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.670 * [taylor]: Taking taylor expansion of 2.0 in n 2.670 * [taylor]: Taking taylor expansion of PI in n 2.671 * [taylor]: Taking taylor expansion of (log n) in n 2.671 * [taylor]: Taking taylor expansion of n in n 2.671 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 2.671 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 2.671 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 2.671 * [taylor]: Taking taylor expansion of 0.5 in n 2.671 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 2.671 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 2.671 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.671 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.671 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.671 * [taylor]: Taking taylor expansion of 1.0 in n 2.671 * [taylor]: Taking taylor expansion of (log PI) in n 2.671 * [taylor]: Taking taylor expansion of PI in n 2.673 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 2.673 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.673 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.673 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.673 * [taylor]: Taking taylor expansion of 1.0 in n 2.673 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.673 * [taylor]: Taking taylor expansion of 2.0 in n 2.675 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.675 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.675 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.675 * [taylor]: Taking taylor expansion of 1.0 in n 2.675 * [taylor]: Taking taylor expansion of (log n) in n 2.675 * [taylor]: Taking taylor expansion of n in n 2.680 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.680 * [taylor]: Taking taylor expansion of 0.125 in n 2.680 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.680 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 2.680 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.680 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.680 * [taylor]: Taking taylor expansion of 2.0 in n 2.680 * [taylor]: Taking taylor expansion of PI in n 2.681 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.681 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.681 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.681 * [taylor]: Taking taylor expansion of 0.5 in n 2.681 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.681 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.681 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.681 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.681 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.681 * [taylor]: Taking taylor expansion of 1.0 in n 2.681 * [taylor]: Taking taylor expansion of (log PI) in n 2.681 * [taylor]: Taking taylor expansion of PI in n 2.683 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.683 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.683 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.683 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.683 * [taylor]: Taking taylor expansion of 1.0 in n 2.683 * [taylor]: Taking taylor expansion of (log n) in n 2.683 * [taylor]: Taking taylor expansion of n in n 2.684 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.684 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.684 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.684 * [taylor]: Taking taylor expansion of 1.0 in n 2.684 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.684 * [taylor]: Taking taylor expansion of 2.0 in n 2.730 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 2.730 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.730 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.730 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.731 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.731 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.731 * [taylor]: Taking taylor expansion of 0.5 in n 2.731 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.731 * [taylor]: Taking taylor expansion of 1.0 in n 2.731 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.731 * [taylor]: Taking taylor expansion of k in n 2.731 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.731 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.731 * [taylor]: Taking taylor expansion of n in n 2.732 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.732 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 2.732 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 2.732 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.732 * [taylor]: Taking taylor expansion of 0.5 in n 2.732 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.732 * [taylor]: Taking taylor expansion of 1.0 in n 2.732 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.732 * [taylor]: Taking taylor expansion of k in n 2.732 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.732 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.732 * [taylor]: Taking taylor expansion of 2.0 in n 2.732 * [taylor]: Taking taylor expansion of PI in n 2.735 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.735 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.735 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.735 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.735 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.735 * [taylor]: Taking taylor expansion of 0.5 in k 2.735 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.735 * [taylor]: Taking taylor expansion of 1.0 in k 2.735 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.735 * [taylor]: Taking taylor expansion of k in k 2.735 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.735 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.735 * [taylor]: Taking taylor expansion of n in k 2.736 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.736 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.736 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.736 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.736 * [taylor]: Taking taylor expansion of 0.5 in k 2.736 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.736 * [taylor]: Taking taylor expansion of 1.0 in k 2.736 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.736 * [taylor]: Taking taylor expansion of k in k 2.736 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.736 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.737 * [taylor]: Taking taylor expansion of 2.0 in k 2.737 * [taylor]: Taking taylor expansion of PI in k 2.740 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.740 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.740 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.740 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.740 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.740 * [taylor]: Taking taylor expansion of 0.5 in k 2.740 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.740 * [taylor]: Taking taylor expansion of 1.0 in k 2.740 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.740 * [taylor]: Taking taylor expansion of k in k 2.741 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.741 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.741 * [taylor]: Taking taylor expansion of n in k 2.742 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.742 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.742 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.742 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.742 * [taylor]: Taking taylor expansion of 0.5 in k 2.742 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.742 * [taylor]: Taking taylor expansion of 1.0 in k 2.742 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.742 * [taylor]: Taking taylor expansion of k in k 2.742 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.742 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.742 * [taylor]: Taking taylor expansion of 2.0 in k 2.742 * [taylor]: Taking taylor expansion of PI in k 2.747 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 2.747 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 2.747 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 2.747 * [taylor]: Taking taylor expansion of 0.5 in n 2.747 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 2.747 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.747 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.747 * [taylor]: Taking taylor expansion of n in n 2.747 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.747 * [taylor]: Taking taylor expansion of 1.0 in n 2.747 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.747 * [taylor]: Taking taylor expansion of k in n 2.748 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 2.748 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 2.748 * [taylor]: Taking taylor expansion of 0.5 in n 2.748 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 2.748 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.748 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.748 * [taylor]: Taking taylor expansion of 2.0 in n 2.748 * [taylor]: Taking taylor expansion of PI in n 2.749 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.749 * [taylor]: Taking taylor expansion of 1.0 in n 2.749 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.749 * [taylor]: Taking taylor expansion of k in n 2.754 * [taylor]: Taking taylor expansion of 0 in n 2.764 * [taylor]: Taking taylor expansion of 0 in n 2.777 * [taylor]: Taking taylor expansion of 0 in n 2.779 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 2.779 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 2.779 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.779 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.779 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.779 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.779 * [taylor]: Taking taylor expansion of 0.5 in n 2.779 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.779 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.779 * [taylor]: Taking taylor expansion of k in n 2.779 * [taylor]: Taking taylor expansion of 1.0 in n 2.779 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.779 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.779 * [taylor]: Taking taylor expansion of -1 in n 2.779 * [taylor]: Taking taylor expansion of n in n 2.781 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.781 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 2.781 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 2.781 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.781 * [taylor]: Taking taylor expansion of 0.5 in n 2.781 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.781 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.781 * [taylor]: Taking taylor expansion of k in n 2.781 * [taylor]: Taking taylor expansion of 1.0 in n 2.781 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.781 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.781 * [taylor]: Taking taylor expansion of 2.0 in n 2.781 * [taylor]: Taking taylor expansion of PI in n 2.784 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.784 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.784 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.784 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.784 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.784 * [taylor]: Taking taylor expansion of 0.5 in k 2.784 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.784 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.784 * [taylor]: Taking taylor expansion of k in k 2.784 * [taylor]: Taking taylor expansion of 1.0 in k 2.784 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.784 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.784 * [taylor]: Taking taylor expansion of -1 in k 2.784 * [taylor]: Taking taylor expansion of n in k 2.785 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.785 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.785 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.785 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.785 * [taylor]: Taking taylor expansion of 0.5 in k 2.785 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.785 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.785 * [taylor]: Taking taylor expansion of k in k 2.785 * [taylor]: Taking taylor expansion of 1.0 in k 2.785 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.785 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.785 * [taylor]: Taking taylor expansion of 2.0 in k 2.785 * [taylor]: Taking taylor expansion of PI in k 2.789 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.789 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.789 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.789 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.789 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.789 * [taylor]: Taking taylor expansion of 0.5 in k 2.789 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.789 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.789 * [taylor]: Taking taylor expansion of k in k 2.789 * [taylor]: Taking taylor expansion of 1.0 in k 2.789 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.789 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.789 * [taylor]: Taking taylor expansion of -1 in k 2.789 * [taylor]: Taking taylor expansion of n in k 2.790 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.790 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.790 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.790 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.790 * [taylor]: Taking taylor expansion of 0.5 in k 2.790 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.790 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.790 * [taylor]: Taking taylor expansion of k in k 2.790 * [taylor]: Taking taylor expansion of 1.0 in k 2.791 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.791 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.791 * [taylor]: Taking taylor expansion of 2.0 in k 2.791 * [taylor]: Taking taylor expansion of PI in k 2.795 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 2.795 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 2.795 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 2.795 * [taylor]: Taking taylor expansion of 0.5 in n 2.795 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 2.795 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.795 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.795 * [taylor]: Taking taylor expansion of k in n 2.795 * [taylor]: Taking taylor expansion of 1.0 in n 2.795 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.795 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.795 * [taylor]: Taking taylor expansion of -1 in n 2.795 * [taylor]: Taking taylor expansion of n in n 2.797 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 2.797 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 2.797 * [taylor]: Taking taylor expansion of 0.5 in n 2.797 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 2.797 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.797 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.797 * [taylor]: Taking taylor expansion of 2.0 in n 2.797 * [taylor]: Taking taylor expansion of PI in n 2.798 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 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 1.0 in n 2.809 * [taylor]: Taking taylor expansion of 0 in n 2.820 * [taylor]: Taking taylor expansion of 0 in n 2.834 * [taylor]: Taking taylor expansion of 0 in n 2.836 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.836 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.836 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.836 * [taylor]: Taking taylor expansion of 1.0 in k 2.836 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.836 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.836 * [taylor]: Taking taylor expansion of k in k 2.837 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.837 * [taylor]: Taking taylor expansion of 1.0 in k 2.837 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.837 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.837 * [taylor]: Taking taylor expansion of k in k 2.849 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.849 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.849 * [taylor]: Taking taylor expansion of 1.0 in k 2.849 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.849 * [taylor]: Taking taylor expansion of k in k 2.850 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.850 * [taylor]: Taking taylor expansion of 1.0 in k 2.850 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.850 * [taylor]: Taking taylor expansion of k in k 2.861 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.861 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.861 * [taylor]: Taking taylor expansion of 1.0 in k 2.861 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.861 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.861 * [taylor]: Taking taylor expansion of -1 in k 2.861 * [taylor]: Taking taylor expansion of k in k 2.863 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.863 * [taylor]: Taking taylor expansion of 1.0 in k 2.863 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.863 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.863 * [taylor]: Taking taylor expansion of -1 in k 2.863 * [taylor]: Taking taylor expansion of k in k 2.875 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.876 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in (k n) around 0 2.876 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in n 2.876 * [taylor]: Taking taylor expansion of 1.0 in n 2.876 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in n 2.876 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.876 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.876 * [taylor]: Taking taylor expansion of k in n 2.876 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 2.876 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 2.876 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 2.877 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 2.877 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.877 * [taylor]: Taking taylor expansion of 0.5 in n 2.877 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.877 * [taylor]: Taking taylor expansion of 1.0 in n 2.877 * [taylor]: Taking taylor expansion of k in n 2.877 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.877 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.877 * [taylor]: Taking taylor expansion of 2.0 in n 2.877 * [taylor]: Taking taylor expansion of PI in n 2.879 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.879 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.879 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.879 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.879 * [taylor]: Taking taylor expansion of 0.5 in n 2.879 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.879 * [taylor]: Taking taylor expansion of 1.0 in n 2.879 * [taylor]: Taking taylor expansion of k in n 2.879 * [taylor]: Taking taylor expansion of (log n) in n 2.880 * [taylor]: Taking taylor expansion of n in n 2.880 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 2.880 * [taylor]: Taking taylor expansion of 1.0 in k 2.880 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 2.880 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.880 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.880 * [taylor]: Taking taylor expansion of k in k 2.882 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 2.882 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.882 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.882 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.882 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.882 * [taylor]: Taking taylor expansion of 0.5 in k 2.882 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.882 * [taylor]: Taking taylor expansion of 1.0 in k 2.882 * [taylor]: Taking taylor expansion of k in k 2.882 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.882 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.882 * [taylor]: Taking taylor expansion of 2.0 in k 2.882 * [taylor]: Taking taylor expansion of PI in k 2.886 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.886 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.887 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.887 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.887 * [taylor]: Taking taylor expansion of 0.5 in k 2.887 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.887 * [taylor]: Taking taylor expansion of 1.0 in k 2.887 * [taylor]: Taking taylor expansion of k in k 2.887 * [taylor]: Taking taylor expansion of (log n) in k 2.887 * [taylor]: Taking taylor expansion of n in k 2.888 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 2.888 * [taylor]: Taking taylor expansion of 1.0 in k 2.888 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 2.888 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.888 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.888 * [taylor]: Taking taylor expansion of k in k 2.889 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 2.889 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.889 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.889 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.889 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.889 * [taylor]: Taking taylor expansion of 0.5 in k 2.889 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.889 * [taylor]: Taking taylor expansion of 1.0 in k 2.889 * [taylor]: Taking taylor expansion of k in k 2.889 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.889 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.889 * [taylor]: Taking taylor expansion of 2.0 in k 2.889 * [taylor]: Taking taylor expansion of PI in k 2.900 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.900 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.900 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.900 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.900 * [taylor]: Taking taylor expansion of 0.5 in k 2.900 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.900 * [taylor]: Taking taylor expansion of 1.0 in k 2.900 * [taylor]: Taking taylor expansion of k in k 2.900 * [taylor]: Taking taylor expansion of (log n) in k 2.900 * [taylor]: Taking taylor expansion of n in k 2.903 * [taylor]: Taking taylor expansion of 0 in n 2.928 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.928 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.928 * [taylor]: Taking taylor expansion of +nan.0 in n 2.928 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.928 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.928 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.928 * [taylor]: Taking taylor expansion of 0.5 in n 2.928 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.928 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.928 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.928 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.928 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.928 * [taylor]: Taking taylor expansion of 1.0 in n 2.928 * [taylor]: Taking taylor expansion of (log PI) in n 2.929 * [taylor]: Taking taylor expansion of PI in n 2.931 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.931 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.931 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.931 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.931 * [taylor]: Taking taylor expansion of 1.0 in n 2.931 * [taylor]: Taking taylor expansion of (log n) in n 2.931 * [taylor]: Taking taylor expansion of n in n 2.931 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.931 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.931 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.931 * [taylor]: Taking taylor expansion of 1.0 in n 2.931 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.931 * [taylor]: Taking taylor expansion of 2.0 in n 2.982 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) in n 2.982 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))) in n 2.982 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.982 * [taylor]: Taking taylor expansion of +nan.0 in n 2.982 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.982 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.982 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.982 * [taylor]: Taking taylor expansion of 2.0 in n 2.982 * [taylor]: Taking taylor expansion of PI in n 2.990 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.990 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.990 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.990 * [taylor]: Taking taylor expansion of 0.5 in n 2.990 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.990 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.990 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.990 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.990 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.990 * [taylor]: Taking taylor expansion of 1.0 in n 2.990 * [taylor]: Taking taylor expansion of (log PI) in n 2.990 * [taylor]: Taking taylor expansion of PI in n 2.992 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.992 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.992 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.992 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.992 * [taylor]: Taking taylor expansion of 1.0 in n 2.992 * [taylor]: Taking taylor expansion of (log n) in n 2.992 * [taylor]: Taking taylor expansion of n in n 2.993 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.993 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.993 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.993 * [taylor]: Taking taylor expansion of 1.0 in n 2.993 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.993 * [taylor]: Taking taylor expansion of 2.0 in n 2.998 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))) in n 2.998 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))) in n 2.998 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.998 * [taylor]: Taking taylor expansion of +nan.0 in n 2.998 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.998 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.998 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.998 * [taylor]: Taking taylor expansion of 0.5 in n 2.998 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.998 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.998 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.998 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.998 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.998 * [taylor]: Taking taylor expansion of 1.0 in n 2.998 * [taylor]: Taking taylor expansion of (log PI) in n 2.998 * [taylor]: Taking taylor expansion of PI in n 3.000 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.000 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.000 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.001 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.001 * [taylor]: Taking taylor expansion of 1.0 in n 3.001 * [taylor]: Taking taylor expansion of (log n) in n 3.001 * [taylor]: Taking taylor expansion of n in n 3.001 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.001 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.001 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.001 * [taylor]: Taking taylor expansion of 1.0 in n 3.001 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.001 * [taylor]: Taking taylor expansion of 2.0 in n 3.007 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) in n 3.007 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 3.007 * [taylor]: Taking taylor expansion of +nan.0 in n 3.007 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 3.007 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.007 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.007 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.007 * [taylor]: Taking taylor expansion of 0.5 in n 3.007 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.007 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.007 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.007 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.007 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.007 * [taylor]: Taking taylor expansion of 1.0 in n 3.007 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.007 * [taylor]: Taking taylor expansion of 2.0 in n 3.009 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.009 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.009 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.009 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.009 * [taylor]: Taking taylor expansion of 1.0 in n 3.009 * [taylor]: Taking taylor expansion of (log PI) in n 3.009 * [taylor]: Taking taylor expansion of PI in n 3.011 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.011 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.011 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.011 * [taylor]: Taking taylor expansion of 1.0 in n 3.011 * [taylor]: Taking taylor expansion of (log n) in n 3.011 * [taylor]: Taking taylor expansion of n in n 3.015 * [taylor]: Taking taylor expansion of (log n) in n 3.015 * [taylor]: Taking taylor expansion of n in n 3.130 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) in n 3.130 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) in n 3.130 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.130 * [taylor]: Taking taylor expansion of +nan.0 in n 3.130 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.130 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.130 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.130 * [taylor]: Taking taylor expansion of 0.5 in n 3.130 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.130 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.130 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.130 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.130 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.130 * [taylor]: Taking taylor expansion of 1.0 in n 3.130 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.130 * [taylor]: Taking taylor expansion of 2.0 in n 3.132 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.132 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.132 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.132 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.132 * [taylor]: Taking taylor expansion of 1.0 in n 3.132 * [taylor]: Taking taylor expansion of (log n) in n 3.132 * [taylor]: Taking taylor expansion of n in n 3.133 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.133 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.133 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.133 * [taylor]: Taking taylor expansion of 1.0 in n 3.133 * [taylor]: Taking taylor expansion of (log PI) in n 3.133 * [taylor]: Taking taylor expansion of PI in n 3.138 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) in n 3.138 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))) in n 3.138 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.138 * [taylor]: Taking taylor expansion of +nan.0 in n 3.138 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.139 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 3.139 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.139 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.139 * [taylor]: Taking taylor expansion of 2.0 in n 3.139 * [taylor]: Taking taylor expansion of PI in n 3.140 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.140 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.140 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.140 * [taylor]: Taking taylor expansion of 0.5 in n 3.140 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.140 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.140 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.140 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.140 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.140 * [taylor]: Taking taylor expansion of 1.0 in n 3.140 * [taylor]: Taking taylor expansion of (log PI) in n 3.140 * [taylor]: Taking taylor expansion of PI in n 3.142 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.142 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.142 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.142 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.142 * [taylor]: Taking taylor expansion of 1.0 in n 3.142 * [taylor]: Taking taylor expansion of (log n) in n 3.142 * [taylor]: Taking taylor expansion of n in n 3.143 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.143 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.143 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.143 * [taylor]: Taking taylor expansion of 1.0 in n 3.143 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.143 * [taylor]: Taking taylor expansion of 2.0 in n 3.148 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))) in n 3.148 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))) in n 3.149 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 3.149 * [taylor]: Taking taylor expansion of +nan.0 in n 3.149 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 3.149 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.149 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.149 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.149 * [taylor]: Taking taylor expansion of 0.5 in n 3.149 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.149 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.149 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.149 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.149 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.149 * [taylor]: Taking taylor expansion of 1.0 in n 3.149 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.149 * [taylor]: Taking taylor expansion of 2.0 in n 3.151 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.151 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.151 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.151 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.151 * [taylor]: Taking taylor expansion of 1.0 in n 3.151 * [taylor]: Taking taylor expansion of (log PI) in n 3.151 * [taylor]: Taking taylor expansion of PI in n 3.153 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.153 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.153 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.153 * [taylor]: Taking taylor expansion of 1.0 in n 3.153 * [taylor]: Taking taylor expansion of (log n) in n 3.153 * [taylor]: Taking taylor expansion of n in n 3.157 * [taylor]: Taking taylor expansion of (log n) in n 3.157 * [taylor]: Taking taylor expansion of n in n 3.157 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))) in n 3.158 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))) in n 3.158 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) in n 3.158 * [taylor]: Taking taylor expansion of +nan.0 in n 3.158 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 3.158 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.158 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.158 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.158 * [taylor]: Taking taylor expansion of 0.5 in n 3.158 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.158 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.158 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.158 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.158 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.158 * [taylor]: Taking taylor expansion of 1.0 in n 3.158 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.158 * [taylor]: Taking taylor expansion of 2.0 in n 3.160 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.160 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.160 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.160 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.160 * [taylor]: Taking taylor expansion of 1.0 in n 3.160 * [taylor]: Taking taylor expansion of (log PI) in n 3.160 * [taylor]: Taking taylor expansion of PI in n 3.162 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.162 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.162 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.162 * [taylor]: Taking taylor expansion of 1.0 in n 3.162 * [taylor]: Taking taylor expansion of (log n) in n 3.162 * [taylor]: Taking taylor expansion of n in n 3.166 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 3.166 * [taylor]: Taking taylor expansion of (log n) in n 3.166 * [taylor]: Taking taylor expansion of n in n 3.167 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))) in n 3.167 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) in n 3.167 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.167 * [taylor]: Taking taylor expansion of +nan.0 in n 3.167 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.167 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.167 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.167 * [taylor]: Taking taylor expansion of 2.0 in n 3.167 * [taylor]: Taking taylor expansion of PI in n 3.168 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.168 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.168 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.168 * [taylor]: Taking taylor expansion of 0.5 in n 3.168 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.168 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.168 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.168 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.168 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.168 * [taylor]: Taking taylor expansion of 1.0 in n 3.168 * [taylor]: Taking taylor expansion of (log PI) in n 3.168 * [taylor]: Taking taylor expansion of PI in n 3.170 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.171 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.171 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.171 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.171 * [taylor]: Taking taylor expansion of 1.0 in n 3.171 * [taylor]: Taking taylor expansion of (log n) in n 3.171 * [taylor]: Taking taylor expansion of n in n 3.171 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.171 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.171 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.171 * [taylor]: Taking taylor expansion of 1.0 in n 3.171 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.171 * [taylor]: Taking taylor expansion of 2.0 in n 3.183 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) in n 3.183 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 3.183 * [taylor]: Taking taylor expansion of +nan.0 in n 3.183 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 3.183 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 3.183 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.183 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.183 * [taylor]: Taking taylor expansion of 2.0 in n 3.183 * [taylor]: Taking taylor expansion of PI in n 3.185 * [taylor]: Taking taylor expansion of (log n) in n 3.185 * [taylor]: Taking taylor expansion of n in n 3.185 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 3.185 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 3.185 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 3.185 * [taylor]: Taking taylor expansion of 0.5 in n 3.185 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 3.185 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 3.185 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.185 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.185 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.185 * [taylor]: Taking taylor expansion of 1.0 in n 3.185 * [taylor]: Taking taylor expansion of (log PI) in n 3.185 * [taylor]: Taking taylor expansion of PI in n 3.187 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 3.187 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.187 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.187 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.187 * [taylor]: Taking taylor expansion of 1.0 in n 3.187 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.187 * [taylor]: Taking taylor expansion of 2.0 in n 3.189 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.189 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.189 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.189 * [taylor]: Taking taylor expansion of 1.0 in n 3.189 * [taylor]: Taking taylor expansion of (log n) in n 3.189 * [taylor]: Taking taylor expansion of n in n 3.306 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in (k n) around 0 3.306 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in n 3.306 * [taylor]: Taking taylor expansion of 1.0 in n 3.307 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in n 3.307 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.307 * [taylor]: Taking taylor expansion of k in n 3.307 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 3.307 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.307 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.307 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.307 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.307 * [taylor]: Taking taylor expansion of 0.5 in n 3.307 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.307 * [taylor]: Taking taylor expansion of 1.0 in n 3.307 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.307 * [taylor]: Taking taylor expansion of k in n 3.307 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.307 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.307 * [taylor]: Taking taylor expansion of n in n 3.308 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.308 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 3.308 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 3.308 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.308 * [taylor]: Taking taylor expansion of 0.5 in n 3.308 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.308 * [taylor]: Taking taylor expansion of 1.0 in n 3.308 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.308 * [taylor]: Taking taylor expansion of k in n 3.308 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.308 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.308 * [taylor]: Taking taylor expansion of 2.0 in n 3.308 * [taylor]: Taking taylor expansion of PI in n 3.311 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in k 3.311 * [taylor]: Taking taylor expansion of 1.0 in k 3.311 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.311 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.311 * [taylor]: Taking taylor expansion of k in k 3.312 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.312 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.312 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 3.312 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 3.312 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.312 * [taylor]: Taking taylor expansion of 0.5 in k 3.312 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.312 * [taylor]: Taking taylor expansion of 1.0 in k 3.312 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.312 * [taylor]: Taking taylor expansion of k in k 3.313 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 3.313 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.313 * [taylor]: Taking taylor expansion of n in k 3.314 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.314 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.314 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.314 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.314 * [taylor]: Taking taylor expansion of 0.5 in k 3.314 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.314 * [taylor]: Taking taylor expansion of 1.0 in k 3.314 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.314 * [taylor]: Taking taylor expansion of k in k 3.314 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.314 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.314 * [taylor]: Taking taylor expansion of 2.0 in k 3.314 * [taylor]: Taking taylor expansion of PI in k 3.318 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in k 3.318 * [taylor]: Taking taylor expansion of 1.0 in k 3.318 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.318 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.318 * [taylor]: Taking taylor expansion of k in k 3.319 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.319 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.319 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 3.319 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 3.319 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.319 * [taylor]: Taking taylor expansion of 0.5 in k 3.319 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.319 * [taylor]: Taking taylor expansion of 1.0 in k 3.319 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.319 * [taylor]: Taking taylor expansion of k in k 3.319 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 3.319 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.319 * [taylor]: Taking taylor expansion of n in k 3.320 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.320 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.320 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.320 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.320 * [taylor]: Taking taylor expansion of 0.5 in k 3.320 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.320 * [taylor]: Taking taylor expansion of 1.0 in k 3.320 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.320 * [taylor]: Taking taylor expansion of k in k 3.321 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.321 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.321 * [taylor]: Taking taylor expansion of 2.0 in k 3.321 * [taylor]: Taking taylor expansion of PI in k 3.326 * [taylor]: Taking taylor expansion of 0 in n 3.330 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) in n 3.330 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) in n 3.330 * [taylor]: Taking taylor expansion of +nan.0 in n 3.330 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 3.330 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 3.330 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 3.330 * [taylor]: Taking taylor expansion of 0.5 in n 3.330 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 3.330 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.330 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.330 * [taylor]: Taking taylor expansion of n in n 3.330 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.330 * [taylor]: Taking taylor expansion of 1.0 in n 3.330 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.330 * [taylor]: Taking taylor expansion of k in n 3.331 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 3.331 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 3.331 * [taylor]: Taking taylor expansion of 0.5 in n 3.331 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 3.331 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.331 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.331 * [taylor]: Taking taylor expansion of 2.0 in n 3.331 * [taylor]: Taking taylor expansion of PI in n 3.332 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.332 * [taylor]: Taking taylor expansion of 1.0 in n 3.332 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.332 * [taylor]: Taking taylor expansion of k in n 3.345 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) in n 3.345 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) in n 3.345 * [taylor]: Taking taylor expansion of +nan.0 in n 3.345 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 3.345 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 3.345 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 3.345 * [taylor]: Taking taylor expansion of 0.5 in n 3.345 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 3.345 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.345 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.345 * [taylor]: Taking taylor expansion of n in n 3.345 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.346 * [taylor]: Taking taylor expansion of 1.0 in n 3.346 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.346 * [taylor]: Taking taylor expansion of k in n 3.346 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 3.346 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 3.346 * [taylor]: Taking taylor expansion of 0.5 in n 3.346 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 3.346 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.346 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.346 * [taylor]: Taking taylor expansion of 2.0 in n 3.346 * [taylor]: Taking taylor expansion of PI in n 3.347 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.347 * [taylor]: Taking taylor expansion of 1.0 in n 3.347 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.347 * [taylor]: Taking taylor expansion of k in n 3.377 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) in n 3.377 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) in n 3.378 * [taylor]: Taking taylor expansion of +nan.0 in n 3.378 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 3.379 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 3.379 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 3.379 * [taylor]: Taking taylor expansion of 0.5 in n 3.379 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 3.379 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.379 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.379 * [taylor]: Taking taylor expansion of n in n 3.379 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.379 * [taylor]: Taking taylor expansion of 1.0 in n 3.379 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.379 * [taylor]: Taking taylor expansion of k in n 3.380 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 3.380 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 3.380 * [taylor]: Taking taylor expansion of 0.5 in n 3.380 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 3.380 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.380 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.380 * [taylor]: Taking taylor expansion of 2.0 in n 3.380 * [taylor]: Taking taylor expansion of PI in n 3.381 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.381 * [taylor]: Taking taylor expansion of 1.0 in n 3.381 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.381 * [taylor]: Taking taylor expansion of k in n 3.391 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k n) around 0 3.391 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in n 3.391 * [taylor]: Taking taylor expansion of 1.0 in n 3.391 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 3.391 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 3.391 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.391 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.391 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.391 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.391 * [taylor]: Taking taylor expansion of 0.5 in n 3.391 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.391 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.391 * [taylor]: Taking taylor expansion of k in n 3.391 * [taylor]: Taking taylor expansion of 1.0 in n 3.391 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.391 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.391 * [taylor]: Taking taylor expansion of -1 in n 3.391 * [taylor]: Taking taylor expansion of n in n 3.393 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 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)))) in n 3.393 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) 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)) in n 3.393 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.393 * [taylor]: Taking taylor expansion of 2.0 in n 3.393 * [taylor]: Taking taylor expansion of PI in n 3.396 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.396 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.396 * [taylor]: Taking taylor expansion of -1 in n 3.396 * [taylor]: Taking taylor expansion of k in n 3.398 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 3.398 * [taylor]: Taking taylor expansion of 1.0 in k 3.398 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 3.398 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.398 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.399 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 3.399 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 3.399 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.399 * [taylor]: Taking taylor expansion of 0.5 in k 3.399 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.399 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.399 * [taylor]: Taking taylor expansion of k in k 3.399 * [taylor]: Taking taylor expansion of 1.0 in k 3.399 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 3.399 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.399 * [taylor]: Taking taylor expansion of -1 in k 3.399 * [taylor]: Taking taylor expansion of n in k 3.400 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.400 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.400 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.400 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.400 * [taylor]: Taking taylor expansion of 0.5 in k 3.400 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.400 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.400 * [taylor]: Taking taylor expansion of k in k 3.400 * [taylor]: Taking taylor expansion of 1.0 in k 3.400 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.400 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.400 * [taylor]: Taking taylor expansion of 2.0 in k 3.400 * [taylor]: Taking taylor expansion of PI in k 3.404 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.404 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.404 * [taylor]: Taking taylor expansion of -1 in k 3.404 * [taylor]: Taking taylor expansion of k in k 3.407 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 3.407 * [taylor]: Taking taylor expansion of 1.0 in k 3.407 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 3.407 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.407 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.407 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 3.407 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 3.407 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.407 * [taylor]: Taking taylor expansion of 0.5 in k 3.407 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.407 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.407 * [taylor]: Taking taylor expansion of k in k 3.407 * [taylor]: Taking taylor expansion of 1.0 in k 3.407 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 3.407 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.407 * [taylor]: Taking taylor expansion of -1 in k 3.407 * [taylor]: Taking taylor expansion of n in k 3.408 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.408 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.408 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.408 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.408 * [taylor]: Taking taylor expansion of 0.5 in k 3.408 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.408 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.408 * [taylor]: Taking taylor expansion of k in k 3.409 * [taylor]: Taking taylor expansion of 1.0 in k 3.409 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.409 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.409 * [taylor]: Taking taylor expansion of 2.0 in k 3.409 * [taylor]: Taking taylor expansion of PI in k 3.412 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.412 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.412 * [taylor]: Taking taylor expansion of -1 in k 3.412 * [taylor]: Taking taylor expansion of k in k 3.416 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 3.416 * [taylor]: Taking taylor expansion of +nan.0 in n 3.416 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 3.416 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 3.416 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 3.416 * [taylor]: Taking taylor expansion of 0.5 in n 3.416 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 3.416 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.416 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.416 * [taylor]: Taking taylor expansion of k in n 3.416 * [taylor]: Taking taylor expansion of 1.0 in n 3.416 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.416 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.416 * [taylor]: Taking taylor expansion of -1 in n 3.416 * [taylor]: Taking taylor expansion of n in n 3.418 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 3.418 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 3.419 * [taylor]: Taking taylor expansion of 0.5 in n 3.419 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 3.419 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.419 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.419 * [taylor]: Taking taylor expansion of 2.0 in n 3.419 * [taylor]: Taking taylor expansion of PI in n 3.420 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.420 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.420 * [taylor]: Taking taylor expansion of k in n 3.420 * [taylor]: Taking taylor expansion of 1.0 in n 3.432 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) in n 3.432 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 3.432 * [taylor]: Taking taylor expansion of +nan.0 in n 3.432 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 3.432 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 3.432 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 3.432 * [taylor]: Taking taylor expansion of 0.5 in n 3.432 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 3.432 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.432 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.432 * [taylor]: Taking taylor expansion of k in n 3.432 * [taylor]: Taking taylor expansion of 1.0 in n 3.432 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.432 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.432 * [taylor]: Taking taylor expansion of -1 in n 3.432 * [taylor]: Taking taylor expansion of n in n 3.435 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 3.435 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 3.435 * [taylor]: Taking taylor expansion of 0.5 in n 3.435 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 3.435 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.435 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.435 * [taylor]: Taking taylor expansion of 2.0 in n 3.435 * [taylor]: Taking taylor expansion of PI in n 3.436 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.436 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.436 * [taylor]: Taking taylor expansion of k in n 3.436 * [taylor]: Taking taylor expansion of 1.0 in n 3.469 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) in n 3.469 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 3.469 * [taylor]: Taking taylor expansion of +nan.0 in n 3.469 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 3.469 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 3.469 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 3.469 * [taylor]: Taking taylor expansion of 0.5 in n 3.469 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 3.469 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.469 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.469 * [taylor]: Taking taylor expansion of k in n 3.469 * [taylor]: Taking taylor expansion of 1.0 in n 3.469 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.469 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.469 * [taylor]: Taking taylor expansion of -1 in n 3.469 * [taylor]: Taking taylor expansion of n in n 3.472 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 3.472 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 3.472 * [taylor]: Taking taylor expansion of 0.5 in n 3.472 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 3.472 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.472 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.472 * [taylor]: Taking taylor expansion of 2.0 in n 3.472 * [taylor]: Taking taylor expansion of PI in n 3.473 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.473 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.473 * [taylor]: Taking taylor expansion of k in n 3.473 * [taylor]: Taking taylor expansion of 1.0 in n 3.484 * * * [progress]: simplifying candidates 3.487 * [simplify]: Simplifying using # : (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (log1p (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* 2.0 PI) n) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 1) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (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))) (- 1.0) (- (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) (expm1 (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (log1p (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (log (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (log (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (exp (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)))) (* 1.0 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow n (/ k 2.0))) (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 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(+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) k)) (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))))))))) 3.500 * * [simplify]: iteration 0 : 1124 enodes (cost 2196 ) 3.519 * * [simplify]: iteration 1 : 4652 enodes (cost 1983 ) 3.595 * * [simplify]: iteration 2 : 5001 enodes (cost 1979 ) 3.604 * [simplify]: Simplified to: (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ 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(sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (/ (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (log1p (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (exp (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (pow (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (pow (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) 3) (sqrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)))) (* 1.0 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow n (/ k 2.0))) (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* 1.0 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (fma (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (- (pow (* 2.0 PI) 0.5) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (fma (- 0.5) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* k (log n)) (* k (log (* 2.0 PI))))) (fma (* 0.125 (pow k 2)) (* (pow (log n) 2) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (exp (+ (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (fma +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) (+ (- (/ (* +nan.0 (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) k) (/ (* +nan.0 (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) (pow k 2))) (/ (- (* +nan.0 (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))))) (pow k 3))) (+ (* +nan.0 (- (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) k) (exp (+ (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))))) (/ (* (- +nan.0) (exp (+ (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))) (pow k 2))) 3.605 * * * [progress]: adding candidates to table 4.140 * * [progress]: iteration 4 / 4 4.140 * * * [progress]: picking best candidate 4.167 * * * * [pick]: Picked # 4.167 * * * [progress]: localizing error 4.186 * * * [progress]: generating rewritten candidates 4.186 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 4.192 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.197 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 4.208 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 4.223 * * * [progress]: generating series expansions 4.223 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 4.223 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 4.223 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.223 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.223 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.223 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.223 * [taylor]: Taking taylor expansion of 0.5 in k 4.223 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.223 * [taylor]: Taking taylor expansion of 1.0 in k 4.223 * [taylor]: Taking taylor expansion of k in k 4.223 * [taylor]: Taking taylor expansion of (log PI) in k 4.223 * [taylor]: Taking taylor expansion of PI in k 4.227 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.227 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.227 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.227 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.227 * [taylor]: Taking taylor expansion of 0.5 in k 4.227 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.227 * [taylor]: Taking taylor expansion of 1.0 in k 4.227 * [taylor]: Taking taylor expansion of k in k 4.227 * [taylor]: Taking taylor expansion of (log PI) in k 4.227 * [taylor]: Taking taylor expansion of PI in k 4.266 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 4.267 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.267 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.267 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.267 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.267 * [taylor]: Taking taylor expansion of 0.5 in k 4.267 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.267 * [taylor]: Taking taylor expansion of 1.0 in k 4.267 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.267 * [taylor]: Taking taylor expansion of k in k 4.267 * [taylor]: Taking taylor expansion of (log PI) in k 4.267 * [taylor]: Taking taylor expansion of PI in k 4.269 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.269 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.269 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.269 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.269 * [taylor]: Taking taylor expansion of 0.5 in k 4.269 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.269 * [taylor]: Taking taylor expansion of 1.0 in k 4.269 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.269 * [taylor]: Taking taylor expansion of k in k 4.270 * [taylor]: Taking taylor expansion of (log PI) in k 4.270 * [taylor]: Taking taylor expansion of PI in k 4.273 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 4.273 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.273 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.273 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.273 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.273 * [taylor]: Taking taylor expansion of 0.5 in k 4.273 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.273 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.273 * [taylor]: Taking taylor expansion of k in k 4.273 * [taylor]: Taking taylor expansion of 1.0 in k 4.273 * [taylor]: Taking taylor expansion of (log PI) in k 4.273 * [taylor]: Taking taylor expansion of PI in k 4.275 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.275 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.275 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.275 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.275 * [taylor]: Taking taylor expansion of 0.5 in k 4.275 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.275 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.275 * [taylor]: Taking taylor expansion of k in k 4.275 * [taylor]: Taking taylor expansion of 1.0 in k 4.275 * [taylor]: Taking taylor expansion of (log PI) in k 4.275 * [taylor]: Taking taylor expansion of PI in k 4.278 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.278 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.278 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.278 * [taylor]: Taking taylor expansion of 1.0 in k 4.278 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.278 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.278 * [taylor]: Taking taylor expansion of k in k 4.280 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.280 * [taylor]: Taking taylor expansion of 1.0 in k 4.280 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.280 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.280 * [taylor]: Taking taylor expansion of k in k 4.291 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.291 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.291 * [taylor]: Taking taylor expansion of 1.0 in k 4.292 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.292 * [taylor]: Taking taylor expansion of k in k 4.293 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.293 * [taylor]: Taking taylor expansion of 1.0 in k 4.293 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.293 * [taylor]: Taking taylor expansion of k in k 4.304 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.304 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.304 * [taylor]: Taking taylor expansion of 1.0 in k 4.304 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.304 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.304 * [taylor]: Taking taylor expansion of -1 in k 4.304 * [taylor]: Taking taylor expansion of k in k 4.305 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.305 * [taylor]: Taking taylor expansion of 1.0 in k 4.305 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.305 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.305 * [taylor]: Taking taylor expansion of -1 in k 4.305 * [taylor]: Taking taylor expansion of k in k 4.318 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 4.318 * [approximate]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in (k n) around 0 4.318 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in n 4.318 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in n 4.318 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in n 4.318 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in n 4.318 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.318 * [taylor]: Taking taylor expansion of 0.5 in n 4.318 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.318 * [taylor]: Taking taylor expansion of 1.0 in n 4.318 * [taylor]: Taking taylor expansion of k in n 4.318 * [taylor]: Taking taylor expansion of (log PI) in n 4.318 * [taylor]: Taking taylor expansion of PI in n 4.320 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 4.320 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in n 4.320 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in n 4.320 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in n 4.320 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.320 * [taylor]: Taking taylor expansion of 0.5 in n 4.320 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.320 * [taylor]: Taking taylor expansion of 1.0 in n 4.320 * [taylor]: Taking taylor expansion of k in n 4.320 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.320 * [taylor]: Taking taylor expansion of 2.0 in n 4.321 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.321 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.321 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.321 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.321 * [taylor]: Taking taylor expansion of 0.5 in n 4.321 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.321 * [taylor]: Taking taylor expansion of 1.0 in n 4.321 * [taylor]: Taking taylor expansion of k in n 4.321 * [taylor]: Taking taylor expansion of (log n) in n 4.321 * [taylor]: Taking taylor expansion of n in n 4.322 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 4.322 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.322 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.322 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.322 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.322 * [taylor]: Taking taylor expansion of 0.5 in k 4.322 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.322 * [taylor]: Taking taylor expansion of 1.0 in k 4.322 * [taylor]: Taking taylor expansion of k in k 4.322 * [taylor]: Taking taylor expansion of (log PI) in k 4.322 * [taylor]: Taking taylor expansion of PI in k 4.324 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.324 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 4.324 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 4.325 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 4.325 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.325 * [taylor]: Taking taylor expansion of 0.5 in k 4.325 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.325 * [taylor]: Taking taylor expansion of 1.0 in k 4.325 * [taylor]: Taking taylor expansion of k in k 4.325 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.325 * [taylor]: Taking taylor expansion of 2.0 in k 4.327 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.327 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.327 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.327 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.327 * [taylor]: Taking taylor expansion of 0.5 in k 4.327 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.327 * [taylor]: Taking taylor expansion of 1.0 in k 4.327 * [taylor]: Taking taylor expansion of k in k 4.327 * [taylor]: Taking taylor expansion of (log n) in k 4.327 * [taylor]: Taking taylor expansion of n in k 4.328 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 4.328 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.328 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.328 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.328 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.328 * [taylor]: Taking taylor expansion of 0.5 in k 4.328 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.328 * [taylor]: Taking taylor expansion of 1.0 in k 4.328 * [taylor]: Taking taylor expansion of k in k 4.328 * [taylor]: Taking taylor expansion of (log PI) in k 4.328 * [taylor]: Taking taylor expansion of PI in k 4.331 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.331 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 4.331 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 4.331 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 4.331 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.331 * [taylor]: Taking taylor expansion of 0.5 in k 4.331 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.331 * [taylor]: Taking taylor expansion of 1.0 in k 4.331 * [taylor]: Taking taylor expansion of k in k 4.331 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.331 * [taylor]: Taking taylor expansion of 2.0 in k 4.334 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.334 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.334 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.334 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.334 * [taylor]: Taking taylor expansion of 0.5 in k 4.334 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.334 * [taylor]: Taking taylor expansion of 1.0 in k 4.334 * [taylor]: Taking taylor expansion of k in k 4.334 * [taylor]: Taking taylor expansion of (log n) in k 4.334 * [taylor]: Taking taylor expansion of n in k 4.336 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.336 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.336 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.336 * [taylor]: Taking taylor expansion of 0.5 in n 4.336 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.336 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.336 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.336 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.336 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.336 * [taylor]: Taking taylor expansion of 1.0 in n 4.336 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.336 * [taylor]: Taking taylor expansion of 2.0 in n 4.338 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.338 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.338 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.338 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.338 * [taylor]: Taking taylor expansion of 1.0 in n 4.338 * [taylor]: Taking taylor expansion of (log n) in n 4.339 * [taylor]: Taking taylor expansion of n in n 4.339 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.339 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.339 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.339 * [taylor]: Taking taylor expansion of 1.0 in n 4.339 * [taylor]: Taking taylor expansion of (log PI) in n 4.339 * [taylor]: Taking taylor expansion of PI in n 4.382 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 4.382 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 4.382 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) in n 4.382 * [taylor]: Taking taylor expansion of 0.5 in n 4.382 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI)) in n 4.382 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.382 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.382 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.382 * [taylor]: Taking taylor expansion of 0.5 in n 4.382 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.382 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.382 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.382 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.382 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.382 * [taylor]: Taking taylor expansion of 1.0 in n 4.382 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.382 * [taylor]: Taking taylor expansion of 2.0 in n 4.384 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.384 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.384 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.384 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.384 * [taylor]: Taking taylor expansion of 1.0 in n 4.384 * [taylor]: Taking taylor expansion of (log n) in n 4.384 * [taylor]: Taking taylor expansion of n in n 4.385 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.385 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.385 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.385 * [taylor]: Taking taylor expansion of 1.0 in n 4.385 * [taylor]: Taking taylor expansion of (log PI) in n 4.385 * [taylor]: Taking taylor expansion of PI in n 4.391 * [taylor]: Taking taylor expansion of (log PI) in n 4.391 * [taylor]: Taking taylor expansion of PI in n 4.391 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 4.391 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.391 * [taylor]: Taking taylor expansion of 0.5 in n 4.391 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.391 * [taylor]: Taking taylor expansion of (log n) in n 4.391 * [taylor]: Taking taylor expansion of n in n 4.392 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.392 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.392 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.392 * [taylor]: Taking taylor expansion of 0.5 in n 4.392 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.392 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.392 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.392 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.392 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.392 * [taylor]: Taking taylor expansion of 1.0 in n 4.392 * [taylor]: Taking taylor expansion of (log PI) in n 4.392 * [taylor]: Taking taylor expansion of PI in n 4.394 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.394 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.394 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.394 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.394 * [taylor]: Taking taylor expansion of 1.0 in n 4.394 * [taylor]: Taking taylor expansion of (log n) in n 4.394 * [taylor]: Taking taylor expansion of n in n 4.394 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.395 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.395 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.395 * [taylor]: Taking taylor expansion of 1.0 in n 4.395 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.395 * [taylor]: Taking taylor expansion of 2.0 in n 4.400 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.400 * [taylor]: Taking taylor expansion of 0.5 in n 4.400 * [taylor]: Taking taylor expansion of (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.400 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.400 * [taylor]: Taking taylor expansion of 2.0 in n 4.401 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.401 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.401 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.401 * [taylor]: Taking taylor expansion of 0.5 in n 4.401 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.401 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.401 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.401 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.401 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.401 * [taylor]: Taking taylor expansion of 1.0 in n 4.401 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.401 * [taylor]: Taking taylor expansion of 2.0 in n 4.403 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.403 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.403 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.403 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.403 * [taylor]: Taking taylor expansion of 1.0 in n 4.403 * [taylor]: Taking taylor expansion of (log n) in n 4.403 * [taylor]: Taking taylor expansion of n in n 4.403 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.403 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.403 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.403 * [taylor]: Taking taylor expansion of 1.0 in n 4.403 * [taylor]: Taking taylor expansion of (log PI) in n 4.403 * [taylor]: Taking taylor expansion of PI in n 4.485 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))))) in n 4.485 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) in n 4.485 * [taylor]: Taking taylor expansion of 0.25 in n 4.485 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) in n 4.485 * [taylor]: Taking taylor expansion of (* (log 2.0) (log n)) in n 4.485 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.485 * [taylor]: Taking taylor expansion of 2.0 in n 4.485 * [taylor]: Taking taylor expansion of (log n) in n 4.485 * [taylor]: Taking taylor expansion of n in n 4.486 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.486 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.486 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.486 * [taylor]: Taking taylor expansion of 0.5 in n 4.486 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.486 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.486 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.486 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.486 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.486 * [taylor]: Taking taylor expansion of 1.0 in n 4.486 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.486 * [taylor]: Taking taylor expansion of 2.0 in n 4.488 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.488 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.488 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.488 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.488 * [taylor]: Taking taylor expansion of 1.0 in n 4.488 * [taylor]: Taking taylor expansion of (log PI) in n 4.488 * [taylor]: Taking taylor expansion of PI in n 4.490 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.490 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.490 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.490 * [taylor]: Taking taylor expansion of 1.0 in n 4.490 * [taylor]: Taking taylor expansion of (log n) in n 4.490 * [taylor]: Taking taylor expansion of n in n 4.494 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))))) in n 4.494 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) in n 4.494 * [taylor]: Taking taylor expansion of 0.25 in n 4.494 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI))) in n 4.494 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.494 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.494 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.494 * [taylor]: Taking taylor expansion of 0.5 in n 4.494 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.494 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.494 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.495 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.495 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.495 * [taylor]: Taking taylor expansion of 1.0 in n 4.495 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.495 * [taylor]: Taking taylor expansion of 2.0 in n 4.496 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.496 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.497 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.497 * [taylor]: Taking taylor expansion of 1.0 in n 4.497 * [taylor]: Taking taylor expansion of (log PI) in n 4.497 * [taylor]: Taking taylor expansion of PI in n 4.499 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.499 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.499 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.499 * [taylor]: Taking taylor expansion of 1.0 in n 4.499 * [taylor]: Taking taylor expansion of (log n) in n 4.499 * [taylor]: Taking taylor expansion of n in n 4.503 * [taylor]: Taking taylor expansion of (* (log n) (log PI)) in n 4.503 * [taylor]: Taking taylor expansion of (log n) in n 4.503 * [taylor]: Taking taylor expansion of n in n 4.504 * [taylor]: Taking taylor expansion of (log PI) in n 4.504 * [taylor]: Taking taylor expansion of PI in n 4.504 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))) in n 4.504 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.504 * [taylor]: Taking taylor expansion of 0.25 in n 4.504 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.504 * [taylor]: Taking taylor expansion of (* (log 2.0) (log PI)) in n 4.504 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.504 * [taylor]: Taking taylor expansion of 2.0 in n 4.504 * [taylor]: Taking taylor expansion of (log PI) in n 4.504 * [taylor]: Taking taylor expansion of PI in n 4.505 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.505 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.505 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.505 * [taylor]: Taking taylor expansion of 0.5 in n 4.505 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.505 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.505 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.505 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.505 * [taylor]: Taking taylor expansion of 1.0 in n 4.505 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.505 * [taylor]: Taking taylor expansion of 2.0 in n 4.507 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.507 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.507 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.507 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.507 * [taylor]: Taking taylor expansion of 1.0 in n 4.507 * [taylor]: Taking taylor expansion of (log n) in n 4.507 * [taylor]: Taking taylor expansion of n in n 4.507 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.507 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.508 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.508 * [taylor]: Taking taylor expansion of 1.0 in n 4.508 * [taylor]: Taking taylor expansion of (log PI) in n 4.508 * [taylor]: Taking taylor expansion of PI in n 4.513 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))) in n 4.513 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.513 * [taylor]: Taking taylor expansion of 0.125 in n 4.513 * [taylor]: Taking taylor expansion of (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.513 * [taylor]: Taking taylor expansion of (pow (log 2.0) 2) in n 4.514 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.514 * [taylor]: Taking taylor expansion of 2.0 in n 4.514 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.514 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.514 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.514 * [taylor]: Taking taylor expansion of 0.5 in n 4.514 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.514 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.514 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.514 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.514 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.514 * [taylor]: Taking taylor expansion of 1.0 in n 4.514 * [taylor]: Taking taylor expansion of (log PI) in n 4.514 * [taylor]: Taking taylor expansion of PI in n 4.516 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.516 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.516 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.516 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.516 * [taylor]: Taking taylor expansion of 1.0 in n 4.516 * [taylor]: Taking taylor expansion of (log n) in n 4.516 * [taylor]: Taking taylor expansion of n in n 4.517 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.517 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.517 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.517 * [taylor]: Taking taylor expansion of 1.0 in n 4.517 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.517 * [taylor]: Taking taylor expansion of 2.0 in n 4.523 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))) in n 4.523 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) in n 4.523 * [taylor]: Taking taylor expansion of 0.125 in n 4.523 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2)) in n 4.523 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.523 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.523 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.523 * [taylor]: Taking taylor expansion of 0.5 in n 4.523 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.523 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.523 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.523 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.523 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.523 * [taylor]: Taking taylor expansion of 1.0 in n 4.523 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.523 * [taylor]: Taking taylor expansion of 2.0 in n 4.525 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.525 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.525 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.525 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.525 * [taylor]: Taking taylor expansion of 1.0 in n 4.525 * [taylor]: Taking taylor expansion of (log n) in n 4.525 * [taylor]: Taking taylor expansion of n in n 4.526 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.526 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.526 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.526 * [taylor]: Taking taylor expansion of 1.0 in n 4.526 * [taylor]: Taking taylor expansion of (log PI) in n 4.526 * [taylor]: Taking taylor expansion of PI in n 4.531 * [taylor]: Taking taylor expansion of (pow (log PI) 2) in n 4.531 * [taylor]: Taking taylor expansion of (log PI) in n 4.532 * [taylor]: Taking taylor expansion of PI in n 4.532 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) in n 4.532 * [taylor]: Taking taylor expansion of 0.125 in n 4.532 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 4.532 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.532 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.532 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.532 * [taylor]: Taking taylor expansion of 0.5 in n 4.532 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.532 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.532 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.532 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.532 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.532 * [taylor]: Taking taylor expansion of 1.0 in n 4.532 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.532 * [taylor]: Taking taylor expansion of 2.0 in n 4.534 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.534 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.534 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.534 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.534 * [taylor]: Taking taylor expansion of 1.0 in n 4.534 * [taylor]: Taking taylor expansion of (log PI) in n 4.534 * [taylor]: Taking taylor expansion of PI in n 4.542 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.542 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.542 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.542 * [taylor]: Taking taylor expansion of 1.0 in n 4.543 * [taylor]: Taking taylor expansion of (log n) in n 4.543 * [taylor]: Taking taylor expansion of n in n 4.547 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 4.547 * [taylor]: Taking taylor expansion of (log n) in n 4.547 * [taylor]: Taking taylor expansion of n in n 4.621 * [approximate]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 4.621 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.622 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in n 4.622 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in n 4.622 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in n 4.622 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.622 * [taylor]: Taking taylor expansion of 0.5 in n 4.622 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.622 * [taylor]: Taking taylor expansion of 1.0 in n 4.622 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.622 * [taylor]: Taking taylor expansion of k in n 4.622 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.622 * [taylor]: Taking taylor expansion of 2.0 in n 4.623 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in n 4.623 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.623 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.623 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.623 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.623 * [taylor]: Taking taylor expansion of 0.5 in n 4.623 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.623 * [taylor]: Taking taylor expansion of 1.0 in n 4.623 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.623 * [taylor]: Taking taylor expansion of k in n 4.623 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.623 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.623 * [taylor]: Taking taylor expansion of n in n 4.624 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in n 4.624 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in n 4.624 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in n 4.624 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.624 * [taylor]: Taking taylor expansion of 0.5 in n 4.624 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.624 * [taylor]: Taking taylor expansion of 1.0 in n 4.624 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.624 * [taylor]: Taking taylor expansion of k in n 4.624 * [taylor]: Taking taylor expansion of (log PI) in n 4.624 * [taylor]: Taking taylor expansion of PI in n 4.625 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.625 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 4.625 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 4.625 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 4.625 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.625 * [taylor]: Taking taylor expansion of 0.5 in k 4.625 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.626 * [taylor]: Taking taylor expansion of 1.0 in k 4.626 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.626 * [taylor]: Taking taylor expansion of k in k 4.626 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.626 * [taylor]: Taking taylor expansion of 2.0 in k 4.628 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 4.628 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.628 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.628 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.628 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.628 * [taylor]: Taking taylor expansion of 0.5 in k 4.628 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.628 * [taylor]: Taking taylor expansion of 1.0 in k 4.628 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.628 * [taylor]: Taking taylor expansion of k in k 4.628 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.628 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.628 * [taylor]: Taking taylor expansion of n in k 4.629 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.629 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.629 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.629 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.629 * [taylor]: Taking taylor expansion of 0.5 in k 4.629 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.629 * [taylor]: Taking taylor expansion of 1.0 in k 4.629 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.629 * [taylor]: Taking taylor expansion of k in k 4.630 * [taylor]: Taking taylor expansion of (log PI) in k 4.630 * [taylor]: Taking taylor expansion of PI in k 4.637 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.637 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 4.637 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 4.637 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 4.637 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.637 * [taylor]: Taking taylor expansion of 0.5 in k 4.637 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.637 * [taylor]: Taking taylor expansion of 1.0 in k 4.637 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.637 * [taylor]: Taking taylor expansion of k in k 4.638 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.638 * [taylor]: Taking taylor expansion of 2.0 in k 4.640 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 4.640 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.640 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.640 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.640 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.640 * [taylor]: Taking taylor expansion of 0.5 in k 4.640 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.640 * [taylor]: Taking taylor expansion of 1.0 in k 4.640 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.640 * [taylor]: Taking taylor expansion of k in k 4.640 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.640 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.640 * [taylor]: Taking taylor expansion of n in k 4.641 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.641 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.641 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.641 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.641 * [taylor]: Taking taylor expansion of 0.5 in k 4.641 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.641 * [taylor]: Taking taylor expansion of 1.0 in k 4.641 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.641 * [taylor]: Taking taylor expansion of k in k 4.641 * [taylor]: Taking taylor expansion of (log PI) in k 4.641 * [taylor]: Taking taylor expansion of PI in k 4.645 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) in n 4.645 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 4.645 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 4.645 * [taylor]: Taking taylor expansion of 0.5 in n 4.645 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 4.645 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.645 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.645 * [taylor]: Taking taylor expansion of n in n 4.646 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.646 * [taylor]: Taking taylor expansion of 1.0 in n 4.646 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.646 * [taylor]: Taking taylor expansion of k in n 4.646 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) in n 4.646 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) in n 4.646 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) in n 4.646 * [taylor]: Taking taylor expansion of 0.5 in n 4.646 * [taylor]: Taking taylor expansion of (* (log PI) (- 1.0 (/ 1 k))) in n 4.646 * [taylor]: Taking taylor expansion of (log PI) in n 4.646 * [taylor]: Taking taylor expansion of PI in n 4.647 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.647 * [taylor]: Taking taylor expansion of 1.0 in n 4.647 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.647 * [taylor]: Taking taylor expansion of k in n 4.648 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 4.648 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 4.648 * [taylor]: Taking taylor expansion of 0.5 in n 4.648 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 4.648 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.648 * [taylor]: Taking taylor expansion of 2.0 in n 4.648 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.648 * [taylor]: Taking taylor expansion of 1.0 in n 4.648 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.648 * [taylor]: Taking taylor expansion of k in n 4.653 * [taylor]: Taking taylor expansion of 0 in n 4.665 * [taylor]: Taking taylor expansion of 0 in n 4.684 * [taylor]: Taking taylor expansion of 0 in n 4.685 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in (k n) around 0 4.685 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in n 4.685 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.685 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.685 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.685 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.685 * [taylor]: Taking taylor expansion of 0.5 in n 4.685 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.685 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.685 * [taylor]: Taking taylor expansion of k in n 4.685 * [taylor]: Taking taylor expansion of 1.0 in n 4.685 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.685 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.685 * [taylor]: Taking taylor expansion of -1 in n 4.685 * [taylor]: Taking taylor expansion of n in n 4.687 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in n 4.687 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in n 4.687 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in n 4.687 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in n 4.687 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.687 * [taylor]: Taking taylor expansion of 0.5 in n 4.687 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.688 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.688 * [taylor]: Taking taylor expansion of k in n 4.688 * [taylor]: Taking taylor expansion of 1.0 in n 4.688 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.688 * [taylor]: Taking taylor expansion of 2.0 in n 4.689 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in n 4.689 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in n 4.689 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in n 4.689 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.689 * [taylor]: Taking taylor expansion of 0.5 in n 4.689 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.689 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.689 * [taylor]: Taking taylor expansion of k in n 4.689 * [taylor]: Taking taylor expansion of 1.0 in n 4.689 * [taylor]: Taking taylor expansion of (log PI) in n 4.689 * [taylor]: Taking taylor expansion of PI in n 4.690 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in k 4.690 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.690 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.690 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.690 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.690 * [taylor]: Taking taylor expansion of 0.5 in k 4.690 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.690 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.690 * [taylor]: Taking taylor expansion of k in k 4.690 * [taylor]: Taking taylor expansion of 1.0 in k 4.690 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.690 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.690 * [taylor]: Taking taylor expansion of -1 in k 4.690 * [taylor]: Taking taylor expansion of n in k 4.691 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.691 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 4.691 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 4.691 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 4.691 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.691 * [taylor]: Taking taylor expansion of 0.5 in k 4.691 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.691 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.691 * [taylor]: Taking taylor expansion of k in k 4.692 * [taylor]: Taking taylor expansion of 1.0 in k 4.692 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.692 * [taylor]: Taking taylor expansion of 2.0 in k 4.693 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.693 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.693 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.693 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.693 * [taylor]: Taking taylor expansion of 0.5 in k 4.693 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.693 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.693 * [taylor]: Taking taylor expansion of k in k 4.694 * [taylor]: Taking taylor expansion of 1.0 in k 4.694 * [taylor]: Taking taylor expansion of (log PI) in k 4.694 * [taylor]: Taking taylor expansion of PI in k 4.696 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in k 4.696 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.696 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.696 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.696 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.696 * [taylor]: Taking taylor expansion of 0.5 in k 4.696 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.696 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.696 * [taylor]: Taking taylor expansion of k in k 4.696 * [taylor]: Taking taylor expansion of 1.0 in k 4.696 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.696 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.696 * [taylor]: Taking taylor expansion of -1 in k 4.696 * [taylor]: Taking taylor expansion of n in k 4.697 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.697 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 4.697 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 4.697 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 4.697 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.697 * [taylor]: Taking taylor expansion of 0.5 in k 4.697 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.697 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.697 * [taylor]: Taking taylor expansion of k in k 4.697 * [taylor]: Taking taylor expansion of 1.0 in k 4.697 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.697 * [taylor]: Taking taylor expansion of 2.0 in k 4.699 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.699 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.699 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.699 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.699 * [taylor]: Taking taylor expansion of 0.5 in k 4.699 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.699 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.699 * [taylor]: Taking taylor expansion of k in k 4.700 * [taylor]: Taking taylor expansion of 1.0 in k 4.700 * [taylor]: Taking taylor expansion of (log PI) in k 4.700 * [taylor]: Taking taylor expansion of PI in k 4.703 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) in n 4.703 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) in n 4.703 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) in n 4.703 * [taylor]: Taking taylor expansion of 0.5 in n 4.703 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log PI)) in n 4.703 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.703 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.703 * [taylor]: Taking taylor expansion of k in n 4.703 * [taylor]: Taking taylor expansion of 1.0 in n 4.703 * [taylor]: Taking taylor expansion of (log PI) in n 4.703 * [taylor]: Taking taylor expansion of PI in n 4.705 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) in n 4.705 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 4.705 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 4.705 * [taylor]: Taking taylor expansion of 0.5 in n 4.705 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 4.705 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.705 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.705 * [taylor]: Taking taylor expansion of k in n 4.705 * [taylor]: Taking taylor expansion of 1.0 in n 4.705 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.705 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.705 * [taylor]: Taking taylor expansion of -1 in n 4.705 * [taylor]: Taking taylor expansion of n in n 4.707 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) in n 4.707 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) in n 4.707 * [taylor]: Taking taylor expansion of 0.5 in n 4.707 * [taylor]: Taking taylor expansion of (* (log 2.0) (+ (/ 1 k) 1.0)) in n 4.707 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.707 * [taylor]: Taking taylor expansion of 2.0 in n 4.707 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.708 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.708 * [taylor]: Taking taylor expansion of k in n 4.708 * [taylor]: Taking taylor expansion of 1.0 in n 4.713 * [taylor]: Taking taylor expansion of 0 in n 4.732 * [taylor]: Taking taylor expansion of 0 in n 4.751 * [taylor]: Taking taylor expansion of 0 in n 4.752 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 4.752 * [approximate]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in (k n) around 0 4.752 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 4.752 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in n 4.752 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in n 4.752 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in n 4.752 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.752 * [taylor]: Taking taylor expansion of 0.5 in n 4.753 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.753 * [taylor]: Taking taylor expansion of 1.0 in n 4.753 * [taylor]: Taking taylor expansion of k in n 4.753 * [taylor]: Taking taylor expansion of (log PI) in n 4.753 * [taylor]: Taking taylor expansion of PI in n 4.754 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.754 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.754 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.754 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.754 * [taylor]: Taking taylor expansion of 0.5 in n 4.754 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.754 * [taylor]: Taking taylor expansion of 1.0 in n 4.754 * [taylor]: Taking taylor expansion of k in n 4.754 * [taylor]: Taking taylor expansion of (log n) in n 4.754 * [taylor]: Taking taylor expansion of n in n 4.754 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.754 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.755 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.755 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.755 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.755 * [taylor]: Taking taylor expansion of 0.5 in k 4.755 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.755 * [taylor]: Taking taylor expansion of 1.0 in k 4.755 * [taylor]: Taking taylor expansion of k in k 4.755 * [taylor]: Taking taylor expansion of (log PI) in k 4.755 * [taylor]: Taking taylor expansion of PI in k 4.757 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.757 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.757 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.757 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.757 * [taylor]: Taking taylor expansion of 0.5 in k 4.757 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.757 * [taylor]: Taking taylor expansion of 1.0 in k 4.758 * [taylor]: Taking taylor expansion of k in k 4.758 * [taylor]: Taking taylor expansion of (log n) in k 4.758 * [taylor]: Taking taylor expansion of n in k 4.758 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.758 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.758 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.758 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.759 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.759 * [taylor]: Taking taylor expansion of 0.5 in k 4.759 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.759 * [taylor]: Taking taylor expansion of 1.0 in k 4.759 * [taylor]: Taking taylor expansion of k in k 4.759 * [taylor]: Taking taylor expansion of (log PI) in k 4.759 * [taylor]: Taking taylor expansion of PI in k 4.761 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.761 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.761 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.761 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.761 * [taylor]: Taking taylor expansion of 0.5 in k 4.761 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.761 * [taylor]: Taking taylor expansion of 1.0 in k 4.761 * [taylor]: Taking taylor expansion of k in k 4.761 * [taylor]: Taking taylor expansion of (log n) in k 4.761 * [taylor]: Taking taylor expansion of n in k 4.763 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 4.763 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 4.763 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 4.763 * [taylor]: Taking taylor expansion of 0.5 in n 4.763 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 4.763 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.763 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.763 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.763 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.763 * [taylor]: Taking taylor expansion of 1.0 in n 4.763 * [taylor]: Taking taylor expansion of (log n) in n 4.763 * [taylor]: Taking taylor expansion of n in n 4.764 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.764 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.764 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.764 * [taylor]: Taking taylor expansion of 1.0 in n 4.764 * [taylor]: Taking taylor expansion of (log PI) in n 4.764 * [taylor]: Taking taylor expansion of PI in n 4.784 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (log n) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (log PI))))) in n 4.784 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log n) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (log PI)))) in n 4.784 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in n 4.784 * [taylor]: Taking taylor expansion of 0.5 in n 4.784 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in n 4.784 * [taylor]: Taking taylor expansion of (log n) in n 4.784 * [taylor]: Taking taylor expansion of n in n 4.784 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 4.784 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 4.784 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 4.784 * [taylor]: Taking taylor expansion of 0.5 in n 4.784 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 4.784 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.784 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.784 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.784 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.784 * [taylor]: Taking taylor expansion of 1.0 in n 4.784 * [taylor]: Taking taylor expansion of (log n) in n 4.784 * [taylor]: Taking taylor expansion of n in n 4.785 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.785 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.785 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.785 * [taylor]: Taking taylor expansion of 1.0 in n 4.785 * [taylor]: Taking taylor expansion of (log PI) in n 4.785 * [taylor]: Taking taylor expansion of PI in n 4.789 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (log PI))) in n 4.789 * [taylor]: Taking taylor expansion of 0.5 in n 4.789 * [taylor]: Taking taylor expansion of (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (log PI)) in n 4.789 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 4.789 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 4.789 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 4.789 * [taylor]: Taking taylor expansion of 0.5 in n 4.789 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 4.789 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.789 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.789 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.789 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.789 * [taylor]: Taking taylor expansion of 1.0 in n 4.789 * [taylor]: Taking taylor expansion of (log n) in n 4.789 * [taylor]: Taking taylor expansion of n in n 4.790 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.790 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.790 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.790 * [taylor]: Taking taylor expansion of 1.0 in n 4.790 * [taylor]: Taking taylor expansion of (log PI) in n 4.790 * [taylor]: Taking taylor expansion of PI in n 4.794 * [taylor]: Taking taylor expansion of (log PI) in n 4.794 * [taylor]: Taking taylor expansion of PI in n 4.834 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log n) (log PI)) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))) in n 4.834 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log n) (log PI)) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in n 4.834 * [taylor]: Taking taylor expansion of 0.25 in n 4.834 * [taylor]: Taking taylor expansion of (* (* (log n) (log PI)) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in n 4.834 * [taylor]: Taking taylor expansion of (* (log n) (log PI)) in n 4.834 * [taylor]: Taking taylor expansion of (log n) in n 4.834 * [taylor]: Taking taylor expansion of n in n 4.835 * [taylor]: Taking taylor expansion of (log PI) in n 4.835 * [taylor]: Taking taylor expansion of PI in n 4.835 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 4.835 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 4.835 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 4.835 * [taylor]: Taking taylor expansion of 0.5 in n 4.835 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 4.835 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.835 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.835 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.835 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.835 * [taylor]: Taking taylor expansion of 1.0 in n 4.835 * [taylor]: Taking taylor expansion of (log n) in n 4.835 * [taylor]: Taking taylor expansion of n in n 4.836 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.836 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.836 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.836 * [taylor]: Taking taylor expansion of 1.0 in n 4.836 * [taylor]: Taking taylor expansion of (log PI) in n 4.836 * [taylor]: Taking taylor expansion of PI in n 4.840 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))) in n 4.840 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log n) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in n 4.840 * [taylor]: Taking taylor expansion of 0.125 in n 4.840 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in n 4.840 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 4.840 * [taylor]: Taking taylor expansion of (log n) in n 4.840 * [taylor]: Taking taylor expansion of n in n 4.840 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 4.841 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 4.841 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 4.841 * [taylor]: Taking taylor expansion of 0.5 in n 4.841 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 4.841 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.841 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.841 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.841 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.841 * [taylor]: Taking taylor expansion of 1.0 in n 4.841 * [taylor]: Taking taylor expansion of (log n) in n 4.841 * [taylor]: Taking taylor expansion of n in n 4.841 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.841 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.841 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.841 * [taylor]: Taking taylor expansion of 1.0 in n 4.841 * [taylor]: Taking taylor expansion of (log PI) in n 4.841 * [taylor]: Taking taylor expansion of PI in n 4.845 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) in n 4.845 * [taylor]: Taking taylor expansion of 0.125 in n 4.845 * [taylor]: Taking taylor expansion of (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)) in n 4.845 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 4.845 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 4.845 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 4.845 * [taylor]: Taking taylor expansion of 0.5 in n 4.845 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 4.845 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.845 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.845 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.845 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.845 * [taylor]: Taking taylor expansion of 1.0 in n 4.846 * [taylor]: Taking taylor expansion of (log n) in n 4.846 * [taylor]: Taking taylor expansion of n in n 4.846 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.846 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.846 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.846 * [taylor]: Taking taylor expansion of 1.0 in n 4.846 * [taylor]: Taking taylor expansion of (log PI) in n 4.846 * [taylor]: Taking taylor expansion of PI in n 4.850 * [taylor]: Taking taylor expansion of (pow (log PI) 2) in n 4.850 * [taylor]: Taking taylor expansion of (log PI) in n 4.850 * [taylor]: Taking taylor expansion of PI in n 4.871 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 4.871 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in n 4.871 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.871 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.871 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.871 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.871 * [taylor]: Taking taylor expansion of 0.5 in n 4.871 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.871 * [taylor]: Taking taylor expansion of 1.0 in n 4.871 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.871 * [taylor]: Taking taylor expansion of k in n 4.871 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.871 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.871 * [taylor]: Taking taylor expansion of n in n 4.872 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in n 4.872 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in n 4.872 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in n 4.872 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.872 * [taylor]: Taking taylor expansion of 0.5 in n 4.872 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.872 * [taylor]: Taking taylor expansion of 1.0 in n 4.872 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.872 * [taylor]: Taking taylor expansion of k in n 4.872 * [taylor]: Taking taylor expansion of (log PI) in n 4.872 * [taylor]: Taking taylor expansion of PI in n 4.874 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 4.874 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.874 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.874 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.874 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.874 * [taylor]: Taking taylor expansion of 0.5 in k 4.874 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.874 * [taylor]: Taking taylor expansion of 1.0 in k 4.874 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.874 * [taylor]: Taking taylor expansion of k in k 4.874 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.874 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.874 * [taylor]: Taking taylor expansion of n in k 4.875 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.875 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.875 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.875 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.875 * [taylor]: Taking taylor expansion of 0.5 in k 4.875 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.875 * [taylor]: Taking taylor expansion of 1.0 in k 4.875 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.875 * [taylor]: Taking taylor expansion of k in k 4.876 * [taylor]: Taking taylor expansion of (log PI) in k 4.876 * [taylor]: Taking taylor expansion of PI in k 4.878 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 4.878 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.878 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.878 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.878 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.878 * [taylor]: Taking taylor expansion of 0.5 in k 4.878 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.878 * [taylor]: Taking taylor expansion of 1.0 in k 4.878 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.878 * [taylor]: Taking taylor expansion of k in k 4.878 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.878 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.878 * [taylor]: Taking taylor expansion of n in k 4.879 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.879 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.879 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.879 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.879 * [taylor]: Taking taylor expansion of 0.5 in k 4.879 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.879 * [taylor]: Taking taylor expansion of 1.0 in k 4.879 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.879 * [taylor]: Taking taylor expansion of k in k 4.880 * [taylor]: Taking taylor expansion of (log PI) in k 4.880 * [taylor]: Taking taylor expansion of PI in k 4.882 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) in n 4.882 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 4.882 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 4.882 * [taylor]: Taking taylor expansion of 0.5 in n 4.882 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 4.882 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.882 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.882 * [taylor]: Taking taylor expansion of n in n 4.883 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.883 * [taylor]: Taking taylor expansion of 1.0 in n 4.883 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.883 * [taylor]: Taking taylor expansion of k in n 4.884 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) in n 4.884 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) in n 4.884 * [taylor]: Taking taylor expansion of 0.5 in n 4.884 * [taylor]: Taking taylor expansion of (* (log PI) (- 1.0 (/ 1 k))) in n 4.884 * [taylor]: Taking taylor expansion of (log PI) in n 4.884 * [taylor]: Taking taylor expansion of PI in n 4.884 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.884 * [taylor]: Taking taylor expansion of 1.0 in n 4.884 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.884 * [taylor]: Taking taylor expansion of k in n 4.887 * [taylor]: Taking taylor expansion of 0 in n 4.894 * [taylor]: Taking taylor expansion of 0 in n 4.905 * [taylor]: Taking taylor expansion of 0 in n 4.906 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 4.906 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in n 4.906 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.906 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.906 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.906 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.906 * [taylor]: Taking taylor expansion of 0.5 in n 4.906 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.906 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.906 * [taylor]: Taking taylor expansion of k in n 4.906 * [taylor]: Taking taylor expansion of 1.0 in n 4.906 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.906 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.906 * [taylor]: Taking taylor expansion of -1 in n 4.906 * [taylor]: Taking taylor expansion of n in n 4.908 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in n 4.908 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in n 4.908 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in n 4.908 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.908 * [taylor]: Taking taylor expansion of 0.5 in n 4.908 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.908 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.909 * [taylor]: Taking taylor expansion of k in n 4.909 * [taylor]: Taking taylor expansion of 1.0 in n 4.909 * [taylor]: Taking taylor expansion of (log PI) in n 4.909 * [taylor]: Taking taylor expansion of PI in n 4.910 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.910 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.910 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.910 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.910 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.910 * [taylor]: Taking taylor expansion of 0.5 in k 4.910 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.910 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.910 * [taylor]: Taking taylor expansion of k in k 4.910 * [taylor]: Taking taylor expansion of 1.0 in k 4.910 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.910 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.910 * [taylor]: Taking taylor expansion of -1 in k 4.910 * [taylor]: Taking taylor expansion of n in k 4.911 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.911 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.911 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.911 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.911 * [taylor]: Taking taylor expansion of 0.5 in k 4.911 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.911 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.911 * [taylor]: Taking taylor expansion of k in k 4.911 * [taylor]: Taking taylor expansion of 1.0 in k 4.911 * [taylor]: Taking taylor expansion of (log PI) in k 4.911 * [taylor]: Taking taylor expansion of PI in k 4.913 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.913 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.913 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.913 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.913 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.913 * [taylor]: Taking taylor expansion of 0.5 in k 4.913 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.913 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.913 * [taylor]: Taking taylor expansion of k in k 4.914 * [taylor]: Taking taylor expansion of 1.0 in k 4.914 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.914 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.914 * [taylor]: Taking taylor expansion of -1 in k 4.914 * [taylor]: Taking taylor expansion of n in k 4.914 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.914 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.914 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.914 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.914 * [taylor]: Taking taylor expansion of 0.5 in k 4.915 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.915 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.915 * [taylor]: Taking taylor expansion of k in k 4.915 * [taylor]: Taking taylor expansion of 1.0 in k 4.915 * [taylor]: Taking taylor expansion of (log PI) in k 4.915 * [taylor]: Taking taylor expansion of PI in k 4.917 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 4.917 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) in n 4.917 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) in n 4.917 * [taylor]: Taking taylor expansion of 0.5 in n 4.917 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log PI)) in n 4.917 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.917 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.917 * [taylor]: Taking taylor expansion of k in n 4.917 * [taylor]: Taking taylor expansion of 1.0 in n 4.917 * [taylor]: Taking taylor expansion of (log PI) in n 4.917 * [taylor]: Taking taylor expansion of PI in n 4.925 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 4.925 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 4.925 * [taylor]: Taking taylor expansion of 0.5 in n 4.925 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 4.925 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.925 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.925 * [taylor]: Taking taylor expansion of k in n 4.925 * [taylor]: Taking taylor expansion of 1.0 in n 4.925 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.925 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.925 * [taylor]: Taking taylor expansion of -1 in n 4.925 * [taylor]: Taking taylor expansion of n in n 4.929 * [taylor]: Taking taylor expansion of 0 in n 4.938 * [taylor]: Taking taylor expansion of 0 in n 4.949 * [taylor]: Taking taylor expansion of 0 in n 4.950 * * * [progress]: simplifying candidates 4.953 * [simplify]: Simplifying using # : (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI 1) (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (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))) (- 1.0) (- (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) (expm1 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (log1p (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* 2.0 (* PI n)) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (exp (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))) (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (sqrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (sqrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (pow 2.0 (/ 1.0 2.0)) (* (pow PI (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (pow 2.0 (/ k 2.0)) (* (pow PI (/ k 2.0)) (pow n (/ k 2.0)))) (* (pow 2.0 (/ 1.0 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)))) (* (pow 2.0 (/ k 2.0)) (pow n (/ k 2.0))) (* (pow 2.0 (/ 1.0 2.0)) (* (pow PI (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (cbrt (pow 2.0 (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ 1.0 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (expm1 (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (log1p (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* PI n) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* 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k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow PI (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 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(- +nan.0) (pow k 2))) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (pow (log PI) 2))) (* 0.25 (* (pow k 2) (* (log 2.0) (log n))))) (- (+ (+ (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.25 (* (pow k 2) (* (log 2.0) (log PI)))) (* 0.125 (* (pow k 2) (pow (log 2.0) 2)))))) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (* 0.25 (* (pow k 2) (* (log n) (log PI))))))) (* 0.5 (+ (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (fma k (* (log PI) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))) (exp (+ (fma (* 0.5 (log 2.0)) (- 1.0 k) (* 0.5 (* (- 1.0 k) (log PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (exp (+ (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (fma (* 0.5 (log 2.0)) (- 1.0 k) (* 0.5 (* (- 1.0 k) (log PI)))))) (fma (- 0.5) (* (pow (* (pow PI 1.0) (pow n 1.0)) 0.5) (+ (* k (log n)) (* k (log PI)))) (fma (pow (* (pow PI 1.0) (pow n 1.0)) 0.5) (+ (* 0.25 (* (pow k 2) (* (log n) (log PI)))) (* 0.125 (* (pow k 2) (pow (log PI) 2)))) (fma (* 0.125 (* (pow k 2) (pow (log n) 2))) (pow (* (pow PI 1.0) (pow n 1.0)) 0.5) (pow (pow (pow (pow (pow (pow (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (exp (+ (* 0.5 (* (- 1.0 k) (log PI))) (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (exp (+ (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (* 0.5 (* (- 1.0 k) (log PI))))) 5.062 * * * [progress]: adding candidates to table 5.633 * [progress]: [Phase 3 of 3] Extracting. 5.633 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 5.637 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.637 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 5.678 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # #) 5.702 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 5.743 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 5.784 * * * [regime]: Found split indices: #