18.211 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.482 * * * [progress]: [2/2] Setting up program. 0.485 * [progress]: [Phase 2 of 3] Improving. 0.486 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.527 * * [simplify]: iteration 0 : 5553 enodes (cost 16 ) 0.527 * [simplify]: Simplified to: (* 1.0 (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) 0.532 * * [progress]: iteration 1 / 4 0.532 * * * [progress]: picking best candidate 0.542 * * * * [pick]: Picked # 0.542 * * * [progress]: localizing error 0.556 * * * [progress]: generating rewritten candidates 0.556 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1 2) 0.560 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.566 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.580 * * * [progress]: generating series expansions 0.580 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1 2) 0.580 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 0.580 * [taylor]: Taking taylor expansion of (* n PI) in n 0.580 * [taylor]: Taking taylor expansion of n in n 0.580 * [taylor]: Taking taylor expansion of PI in n 0.580 * [taylor]: Taking taylor expansion of (* n PI) in n 0.580 * [taylor]: Taking taylor expansion of n in n 0.580 * [taylor]: Taking taylor expansion of PI in n 0.581 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 0.581 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.581 * [taylor]: Taking taylor expansion of PI in n 0.581 * [taylor]: Taking taylor expansion of n in n 0.581 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.581 * [taylor]: Taking taylor expansion of PI in n 0.581 * [taylor]: Taking taylor expansion of n in n 0.581 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 0.581 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.581 * [taylor]: Taking taylor expansion of -1 in n 0.581 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.581 * [taylor]: Taking taylor expansion of PI in n 0.581 * [taylor]: Taking taylor expansion of n in n 0.581 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.581 * [taylor]: Taking taylor expansion of -1 in n 0.581 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.581 * [taylor]: Taking taylor expansion of PI in n 0.581 * [taylor]: Taking taylor expansion of n in n 0.582 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.582 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in (n k) around 0 0.582 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 0.583 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.583 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.583 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.583 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.583 * [taylor]: Taking taylor expansion of 0.5 in k 0.583 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.583 * [taylor]: Taking taylor expansion of 1.0 in k 0.583 * [taylor]: Taking taylor expansion of k in k 0.583 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.583 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.583 * [taylor]: Taking taylor expansion of 2.0 in k 0.583 * [taylor]: Taking taylor expansion of (* n PI) in k 0.583 * [taylor]: Taking taylor expansion of n in k 0.583 * [taylor]: Taking taylor expansion of PI in k 0.583 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.583 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.583 * [taylor]: Taking taylor expansion of k in k 0.583 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 0.583 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.583 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.583 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.583 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.583 * [taylor]: Taking taylor expansion of 0.5 in n 0.583 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.583 * [taylor]: Taking taylor expansion of 1.0 in n 0.583 * [taylor]: Taking taylor expansion of k in n 0.583 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.583 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.583 * [taylor]: Taking taylor expansion of 2.0 in n 0.583 * [taylor]: Taking taylor expansion of (* n PI) in n 0.583 * [taylor]: Taking taylor expansion of n in n 0.583 * [taylor]: Taking taylor expansion of PI in n 0.584 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.584 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.584 * [taylor]: Taking taylor expansion of k in n 0.584 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 0.584 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.584 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.584 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.584 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.584 * [taylor]: Taking taylor expansion of 0.5 in n 0.584 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.584 * [taylor]: Taking taylor expansion of 1.0 in n 0.584 * [taylor]: Taking taylor expansion of k in n 0.584 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.584 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.584 * [taylor]: Taking taylor expansion of 2.0 in n 0.584 * [taylor]: Taking taylor expansion of (* n PI) in n 0.584 * [taylor]: Taking taylor expansion of n in n 0.584 * [taylor]: Taking taylor expansion of PI in n 0.584 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.585 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.585 * [taylor]: Taking taylor expansion of k in n 0.585 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 0.585 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.585 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.585 * [taylor]: Taking taylor expansion of k in k 0.585 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.585 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.585 * [taylor]: Taking taylor expansion of 0.5 in k 0.585 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.585 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.585 * [taylor]: Taking taylor expansion of 1.0 in k 0.585 * [taylor]: Taking taylor expansion of k in k 0.585 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.585 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.585 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.585 * [taylor]: Taking taylor expansion of 2.0 in k 0.585 * [taylor]: Taking taylor expansion of PI in k 0.585 * [taylor]: Taking taylor expansion of (log n) in k 0.585 * [taylor]: Taking taylor expansion of n in k 0.586 * [taylor]: Taking taylor expansion of 0 in k 0.588 * [taylor]: Taking taylor expansion of 0 in k 0.591 * [taylor]: Taking taylor expansion of 0 in k 0.599 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in (n k) around 0 0.599 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.599 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.599 * [taylor]: Taking taylor expansion of k in k 0.599 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.599 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.599 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.599 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.599 * [taylor]: Taking taylor expansion of 0.5 in k 0.599 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.599 * [taylor]: Taking taylor expansion of 1.0 in k 0.599 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.599 * [taylor]: Taking taylor expansion of k in k 0.599 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.599 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.599 * [taylor]: Taking taylor expansion of 2.0 in k 0.599 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.599 * [taylor]: Taking taylor expansion of PI in k 0.599 * [taylor]: Taking taylor expansion of n in k 0.600 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.600 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.600 * [taylor]: Taking taylor expansion of k in n 0.600 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.600 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.600 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.600 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.600 * [taylor]: Taking taylor expansion of 0.5 in n 0.600 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.600 * [taylor]: Taking taylor expansion of 1.0 in n 0.600 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.600 * [taylor]: Taking taylor expansion of k in n 0.600 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.600 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.600 * [taylor]: Taking taylor expansion of 2.0 in n 0.600 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.600 * [taylor]: Taking taylor expansion of PI in n 0.600 * [taylor]: Taking taylor expansion of n in n 0.600 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.600 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.600 * [taylor]: Taking taylor expansion of k in n 0.600 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.600 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.600 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.601 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.601 * [taylor]: Taking taylor expansion of 0.5 in n 0.601 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.601 * [taylor]: Taking taylor expansion of 1.0 in n 0.601 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.601 * [taylor]: Taking taylor expansion of k in n 0.601 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.601 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.601 * [taylor]: Taking taylor expansion of 2.0 in n 0.601 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.601 * [taylor]: Taking taylor expansion of PI in n 0.601 * [taylor]: Taking taylor expansion of n in n 0.601 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 0.601 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.601 * [taylor]: Taking taylor expansion of k in k 0.601 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.601 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.601 * [taylor]: Taking taylor expansion of 0.5 in k 0.601 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.601 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.601 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.601 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.601 * [taylor]: Taking taylor expansion of 2.0 in k 0.601 * [taylor]: Taking taylor expansion of PI in k 0.601 * [taylor]: Taking taylor expansion of (log n) in k 0.602 * [taylor]: Taking taylor expansion of n in k 0.602 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.602 * [taylor]: Taking taylor expansion of 1.0 in k 0.602 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.602 * [taylor]: Taking taylor expansion of k in k 0.603 * [taylor]: Taking taylor expansion of 0 in k 0.604 * [taylor]: Taking taylor expansion of 0 in k 0.606 * [taylor]: Taking taylor expansion of 0 in k 0.607 * [approximate]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (n k) around 0 0.607 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.607 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.607 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.607 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.607 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.607 * [taylor]: Taking taylor expansion of 0.5 in k 0.607 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.607 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.607 * [taylor]: Taking taylor expansion of k in k 0.607 * [taylor]: Taking taylor expansion of 1.0 in k 0.607 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.607 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.607 * [taylor]: Taking taylor expansion of -2.0 in k 0.607 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.607 * [taylor]: Taking taylor expansion of PI in k 0.607 * [taylor]: Taking taylor expansion of n 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 -1 in k 0.608 * [taylor]: Taking taylor expansion of k in k 0.608 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.608 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.608 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.608 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.608 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.608 * [taylor]: Taking taylor expansion of 0.5 in n 0.608 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.608 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.608 * [taylor]: Taking taylor expansion of k in n 0.608 * [taylor]: Taking taylor expansion of 1.0 in n 0.608 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.608 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.608 * [taylor]: Taking taylor expansion of -2.0 in n 0.608 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.608 * [taylor]: Taking taylor expansion of PI in n 0.608 * [taylor]: Taking taylor expansion of n in n 0.609 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.609 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.609 * [taylor]: Taking taylor expansion of -1 in n 0.609 * [taylor]: Taking taylor expansion of k in n 0.609 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.609 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.609 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.609 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.609 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.609 * [taylor]: Taking taylor expansion of 0.5 in n 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.609 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.609 * [taylor]: Taking taylor expansion of k in n 0.609 * [taylor]: Taking taylor expansion of 1.0 in n 0.609 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.609 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.609 * [taylor]: Taking taylor expansion of -2.0 in n 0.609 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.609 * [taylor]: Taking taylor expansion of PI in n 0.609 * [taylor]: Taking taylor expansion of n in n 0.609 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.609 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.609 * [taylor]: Taking taylor expansion of -1 in n 0.609 * [taylor]: Taking taylor expansion of k in n 0.610 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k 0.610 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.610 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.610 * [taylor]: Taking taylor expansion of 0.5 in k 0.610 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.610 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.610 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.610 * [taylor]: Taking taylor expansion of k in k 0.610 * [taylor]: Taking taylor expansion of 1.0 in k 0.610 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.610 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.610 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.610 * [taylor]: Taking taylor expansion of -2.0 in k 0.610 * [taylor]: Taking taylor expansion of PI in k 0.610 * [taylor]: Taking taylor expansion of (log n) in k 0.610 * [taylor]: Taking taylor expansion of n in k 0.610 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.610 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.610 * [taylor]: Taking taylor expansion of -1 in k 0.610 * [taylor]: Taking taylor expansion of k in k 0.611 * [taylor]: Taking taylor expansion of 0 in k 0.613 * [taylor]: Taking taylor expansion of 0 in k 0.615 * [taylor]: Taking taylor expansion of 0 in k 0.615 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.616 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.616 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.616 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.616 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.616 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.616 * [taylor]: Taking taylor expansion of 0.5 in k 0.616 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.616 * [taylor]: Taking taylor expansion of 1.0 in k 0.616 * [taylor]: Taking taylor expansion of k in k 0.616 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.616 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.616 * [taylor]: Taking taylor expansion of 2.0 in k 0.616 * [taylor]: Taking taylor expansion of (* n PI) in k 0.616 * [taylor]: Taking taylor expansion of n in k 0.616 * [taylor]: Taking taylor expansion of PI in k 0.616 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.616 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.616 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.616 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.616 * [taylor]: Taking taylor expansion of 0.5 in n 0.616 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.616 * [taylor]: Taking taylor expansion of 1.0 in n 0.616 * [taylor]: Taking taylor expansion of k in n 0.616 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.616 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.616 * [taylor]: Taking taylor expansion of 2.0 in n 0.616 * [taylor]: Taking taylor expansion of (* n PI) in n 0.616 * [taylor]: Taking taylor expansion of n in n 0.616 * [taylor]: Taking taylor expansion of PI in n 0.617 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.617 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.617 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.617 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.617 * [taylor]: Taking taylor expansion of 0.5 in n 0.617 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.617 * [taylor]: Taking taylor expansion of 1.0 in n 0.617 * [taylor]: Taking taylor expansion of k in n 0.617 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.617 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.617 * [taylor]: Taking taylor expansion of 2.0 in n 0.617 * [taylor]: Taking taylor expansion of (* n PI) in n 0.617 * [taylor]: Taking taylor expansion of n in n 0.617 * [taylor]: Taking taylor expansion of PI in n 0.617 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.617 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.617 * [taylor]: Taking taylor expansion of 0.5 in k 0.617 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.617 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.617 * [taylor]: Taking taylor expansion of 1.0 in k 0.617 * [taylor]: Taking taylor expansion of k in k 0.617 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.617 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.617 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.617 * [taylor]: Taking taylor expansion of 2.0 in k 0.617 * [taylor]: Taking taylor expansion of PI in k 0.617 * [taylor]: Taking taylor expansion of (log n) in k 0.617 * [taylor]: Taking taylor expansion of n in k 0.618 * [taylor]: Taking taylor expansion of 0 in k 0.620 * [taylor]: Taking taylor expansion of 0 in k 0.622 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.622 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.622 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.622 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.622 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.622 * [taylor]: Taking taylor expansion of 0.5 in k 0.622 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.622 * [taylor]: Taking taylor expansion of 1.0 in k 0.622 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.622 * [taylor]: Taking taylor expansion of k in k 0.622 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.622 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.622 * [taylor]: Taking taylor expansion of 2.0 in k 0.622 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.622 * [taylor]: Taking taylor expansion of PI in k 0.622 * [taylor]: Taking taylor expansion of n in k 0.622 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.622 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.622 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.622 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.622 * [taylor]: Taking taylor expansion of 0.5 in n 0.622 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.622 * [taylor]: Taking taylor expansion of 1.0 in n 0.622 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.622 * [taylor]: Taking taylor expansion of k in n 0.622 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.622 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.622 * [taylor]: Taking taylor expansion of 2.0 in n 0.622 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.622 * [taylor]: Taking taylor expansion of PI in n 0.623 * [taylor]: Taking taylor expansion of n in n 0.623 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.623 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.623 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.623 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.623 * [taylor]: Taking taylor expansion of 0.5 in n 0.623 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.623 * [taylor]: Taking taylor expansion of 1.0 in n 0.623 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.623 * [taylor]: Taking taylor expansion of k in n 0.623 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.623 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.623 * [taylor]: Taking taylor expansion of 2.0 in n 0.623 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.623 * [taylor]: Taking taylor expansion of PI in n 0.623 * [taylor]: Taking taylor expansion of n in n 0.624 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.624 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.624 * [taylor]: Taking taylor expansion of 0.5 in k 0.624 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.624 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.624 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.624 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.624 * [taylor]: Taking taylor expansion of 2.0 in k 0.624 * [taylor]: Taking taylor expansion of PI in k 0.624 * [taylor]: Taking taylor expansion of (log n) in k 0.624 * [taylor]: Taking taylor expansion of n in k 0.624 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.624 * [taylor]: Taking taylor expansion of 1.0 in k 0.624 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.624 * [taylor]: Taking taylor expansion of k in k 0.628 * [taylor]: Taking taylor expansion of 0 in k 0.628 * [taylor]: Taking taylor expansion of 0 in k 0.630 * [taylor]: Taking taylor expansion of 0 in k 0.630 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.630 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.630 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.630 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.630 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.630 * [taylor]: Taking taylor expansion of 0.5 in k 0.630 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.630 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.630 * [taylor]: Taking taylor expansion of k in k 0.630 * [taylor]: Taking taylor expansion of 1.0 in k 0.630 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.630 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.630 * [taylor]: Taking taylor expansion of -2.0 in k 0.630 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.630 * [taylor]: Taking taylor expansion of PI in k 0.630 * [taylor]: Taking taylor expansion of n in k 0.630 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.630 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.630 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.630 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.630 * [taylor]: Taking taylor expansion of 0.5 in n 0.630 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.630 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.630 * [taylor]: Taking taylor expansion of k in n 0.631 * [taylor]: Taking taylor expansion of 1.0 in n 0.631 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.631 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.631 * [taylor]: Taking taylor expansion of -2.0 in n 0.631 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.631 * [taylor]: Taking taylor expansion of PI in n 0.631 * [taylor]: Taking taylor expansion of n in n 0.631 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.631 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.631 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.631 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.631 * [taylor]: Taking taylor expansion of 0.5 in n 0.631 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.631 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.631 * [taylor]: Taking taylor expansion of k in n 0.631 * [taylor]: Taking taylor expansion of 1.0 in n 0.631 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.631 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.631 * [taylor]: Taking taylor expansion of -2.0 in n 0.631 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.631 * [taylor]: Taking taylor expansion of PI in n 0.631 * [taylor]: Taking taylor expansion of n in n 0.632 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.632 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.632 * [taylor]: Taking taylor expansion of 0.5 in k 0.632 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.632 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.632 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.632 * [taylor]: Taking taylor expansion of k in k 0.632 * [taylor]: Taking taylor expansion of 1.0 in k 0.632 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.632 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.632 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.632 * [taylor]: Taking taylor expansion of -2.0 in k 0.632 * [taylor]: Taking taylor expansion of PI in k 0.632 * [taylor]: Taking taylor expansion of (log n) in k 0.632 * [taylor]: Taking taylor expansion of n in k 0.633 * [taylor]: Taking taylor expansion of 0 in k 0.634 * [taylor]: Taking taylor expansion of 0 in k 0.635 * [taylor]: Taking taylor expansion of 0 in k 0.635 * * * [progress]: simplifying candidates 0.637 * [simplify]: Simplifying using # : (* PI n) (+ (log PI) (log n)) (log (* PI n)) (exp (* PI n)) (* (* (* PI PI) PI) (* (* n n) n)) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (* (* (* PI n) (* PI n)) (* PI n)) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) (* PI 1) (* (cbrt PI) n) (* (sqrt PI) n) (* PI n) (- (* (+ (log 2.0) (+ (log PI) (log n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (+ (log 2.0) (log (* PI n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (log (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (log (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (exp (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (/ (* (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (* (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (neg (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (neg (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt 1)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) 1) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt 1)) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) 1) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt 1)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) 1) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1 1) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (cbrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt 1)) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) 1) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt 1)) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 1) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))) (* (+ (log 2.0) (+ (log PI) (log n))) (/ (- 1.0 k) 2.0)) (* (+ (log 2.0) (log (* PI n))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)) (pow (* 2.0 (* PI n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 (* PI n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ 1 1)) (pow (* 2.0 (* PI n)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ 1 1)) (pow (* 2.0 (* PI n)) 1) (pow (* 2.0 (* PI n)) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (* n PI) (* n PI) (* n PI) (- (+ (* 0.125 (* (pow k 2) (* NAN (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))) (+ (* k (* (pow NAN 3) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (* NAN (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) (+ (* (pow k 2) (* (pow NAN 5) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (+ (* NAN (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* NAN (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))))) (+ (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow NAN 3) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) (+ (* 0.5 (* k (* NAN (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (* NAN (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2)) (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 3)))) (+ (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN) (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k)) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 0.669 * * [simplify]: iteration 0 : 5048 enodes (cost 2248 ) 0.677 * [simplify]: Simplified to: (* PI n) (log (* PI n)) (log (* PI n)) (pow (exp PI) n) (pow (* PI n) 3) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (pow (* PI n) 3) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) PI (* n (cbrt PI)) (* n (sqrt PI)) (* PI n) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (exp (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k)) 3) (* (cbrt (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (cbrt (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k)))) (cbrt (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k)) 3) (sqrt (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (neg (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (neg (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (fabs (cbrt k)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (* (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (* (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* PI (* 2.0 n)) (* 1/2 (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* 2.0 n)) (* 1/2 (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (pow (* PI (* 2.0 n)) (* 1/2 (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (/ (pow (* PI (* 2.0 n)) (* 1/2 (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (pow (* PI (* 2.0 n)) (* 1/2 (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (pow (* PI (* 2.0 n)) (* 1/2 (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (pow (* PI (* 2.0 n)) (* 1/2 (/ (- 1.0 k) 2.0))) (/ (pow (* PI (* 2.0 n)) (* 1/2 (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (pow (* PI (* 2.0 n)) (* 1/2 (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (pow (* PI (* 2.0 n)) (* 1/2 (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (pow (* PI (* 2.0 n)) (* 1/2 (/ (- 1.0 k) 2.0))) (/ (pow (* PI (* 2.0 n)) (* 1/2 (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* PI (* 2.0 n)) (* 1/2 (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)) (pow (* PI (* 2.0 n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* PI (* 2.0 n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* PI (* 2.0 n)) (* (cbrt (- 1.0 k)) (/ (cbrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))))) (pow (* PI (* 2.0 n)) (* (cbrt (- 1.0 k)) (/ (cbrt (- 1.0 k)) (sqrt 2.0)))) (pow (* PI (* 2.0 n)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* PI (* 2.0 n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* PI (* 2.0 n)) (sqrt (- 1.0 k))) (pow (* PI (* 2.0 n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (pow (* PI (* 2.0 n)) (/ (+ (sqrt k) (sqrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2.0))) (pow (* PI (* 2.0 n)) (+ (sqrt k) (sqrt 1.0))) (pow (* PI (* 2.0 n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (pow (* PI (* 2.0 n)) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0)) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (exp (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (pow (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (pow (* PI (* 2.0 n)) (* 1/2 (/ (- 1.0 k) 2.0))) (pow (* PI (* 2.0 n)) (* 1/2 (/ (- 1.0 k) 2.0))) (* PI n) (* PI n) (* PI n) (+ (* 0.125 (* k (* k (* NAN (* (pow (* PI (* 2.0 n)) 0.5) (pow (log n) 2)))))) (+ (* k (* (pow (* PI (* 2.0 n)) 0.5) (pow NAN 3))) (- (+ (* 0.125 (* k (* k (* NAN (* (pow (* PI (* 2.0 n)) 0.5) (pow (log (* PI 2.0)) 2)))))) (+ (* (* k k) (* (* NAN (* (log n) (* (log (* PI 2.0)) (pow (* PI (* 2.0 n)) 0.5)))) 0.25)) (* (pow (* PI (* 2.0 n)) 0.5) (+ (* k (* k (pow NAN 5))) NAN)))) (+ (* (* k k) (* (* (log (* PI 2.0)) (* (pow (* PI (* 2.0 n)) 0.5) (pow NAN 3))) 0.5)) (+ (* (* k k) (* (* (log n) (* (pow (* PI (* 2.0 n)) 0.5) (pow NAN 3))) 0.5)) (* (* k 0.5) (+ (* (log n) (* NAN (pow (* PI (* 2.0 n)) 0.5))) (* NAN (* (log (* PI 2.0)) (pow (* PI (* 2.0 n)) 0.5)))))))))) (+ (* NAN (/ (pow (* PI (* 2.0 n)) (* (- 1.0 k) 0.5)) k)) (+ (* (pow NAN 3) (/ (pow (* PI (* 2.0 n)) (* (- 1.0 k) 0.5)) (* k k))) (* (pow NAN 5) (/ (pow (* PI (* 2.0 n)) (* (- 1.0 k) 0.5)) (pow k 3))))) (+ (/ (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))) NAN) (* NAN (/ (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))) k))) (+ (* (* 0.125 (* k k)) (+ (* (pow (* PI (* 2.0 n)) 0.5) (pow (log (* PI 2.0)) 2)) (* (pow (* PI (* 2.0 n)) 0.5) (pow (log n) 2)))) (- (+ (pow (* PI (* 2.0 n)) 0.5) (* (* k k) (* (* (log n) (* (log (* PI 2.0)) (pow (* PI (* 2.0 n)) 0.5))) 0.25))) (* 0.5 (* k (+ (* (log (* PI 2.0)) (pow (* PI (* 2.0 n)) 0.5)) (* (log n) (pow (* PI (* 2.0 n)) 0.5))))))) (pow (* PI (* 2.0 n)) (* (- 1.0 k) 0.5)) (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))) 0.677 * * * [progress]: adding candidates to table 0.903 * * [progress]: iteration 2 / 4 0.903 * * * [progress]: picking best candidate 0.952 * * * * [pick]: Picked # 0.952 * * * [progress]: localizing error 0.973 * * * [progress]: generating rewritten candidates 0.973 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1) 0.978 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 0.981 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.990 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.001 * * * [progress]: generating series expansions 1.001 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1) 1.001 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.001 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.001 * [taylor]: Taking taylor expansion of 2.0 in n 1.001 * [taylor]: Taking taylor expansion of (* n PI) in n 1.001 * [taylor]: Taking taylor expansion of n in n 1.001 * [taylor]: Taking taylor expansion of PI in n 1.002 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.002 * [taylor]: Taking taylor expansion of 2.0 in n 1.002 * [taylor]: Taking taylor expansion of (* n PI) in n 1.002 * [taylor]: Taking taylor expansion of n in n 1.002 * [taylor]: Taking taylor expansion of PI in n 1.003 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.003 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.003 * [taylor]: Taking taylor expansion of 2.0 in n 1.003 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.003 * [taylor]: Taking taylor expansion of PI in n 1.003 * [taylor]: Taking taylor expansion of n in n 1.003 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.003 * [taylor]: Taking taylor expansion of 2.0 in n 1.003 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.003 * [taylor]: Taking taylor expansion of PI in n 1.003 * [taylor]: Taking taylor expansion of n in n 1.004 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.004 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.004 * [taylor]: Taking taylor expansion of -2.0 in n 1.004 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.004 * [taylor]: Taking taylor expansion of PI in n 1.004 * [taylor]: Taking taylor expansion of n in n 1.004 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.004 * [taylor]: Taking taylor expansion of -2.0 in n 1.004 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.004 * [taylor]: Taking taylor expansion of PI in n 1.004 * [taylor]: Taking taylor expansion of n in n 1.005 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 1.005 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 1.005 * [taylor]: Taking taylor expansion of (* n PI) in n 1.005 * [taylor]: Taking taylor expansion of n in n 1.005 * [taylor]: Taking taylor expansion of PI in n 1.005 * [taylor]: Taking taylor expansion of (* n PI) in n 1.005 * [taylor]: Taking taylor expansion of n in n 1.005 * [taylor]: Taking taylor expansion of PI in n 1.005 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 1.005 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.005 * [taylor]: Taking taylor expansion of PI in n 1.005 * [taylor]: Taking taylor expansion of n in n 1.005 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.005 * [taylor]: Taking taylor expansion of PI in n 1.005 * [taylor]: Taking taylor expansion of n in n 1.006 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 1.006 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.006 * [taylor]: Taking taylor expansion of -1 in n 1.006 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.006 * [taylor]: Taking taylor expansion of PI in n 1.006 * [taylor]: Taking taylor expansion of n in n 1.006 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.006 * [taylor]: Taking taylor expansion of -1 in n 1.006 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.006 * [taylor]: Taking taylor expansion of PI in n 1.006 * [taylor]: Taking taylor expansion of n in n 1.007 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.007 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in (n k) around 0 1.007 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 1.007 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.007 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.007 * [taylor]: Taking taylor expansion of k in k 1.007 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 1.007 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.007 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.008 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.008 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.008 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.008 * [taylor]: Taking taylor expansion of 0.5 in k 1.008 * [taylor]: Taking taylor expansion of k in k 1.008 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.008 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.008 * [taylor]: Taking taylor expansion of 2.0 in k 1.008 * [taylor]: Taking taylor expansion of (* n PI) in k 1.008 * [taylor]: Taking taylor expansion of n in k 1.008 * [taylor]: Taking taylor expansion of PI in k 1.008 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.008 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.008 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.008 * [taylor]: Taking taylor expansion of 0.5 in k 1.008 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.008 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.008 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.011 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.011 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.011 * [taylor]: Taking taylor expansion of 1.0 in k 1.011 * [taylor]: Taking taylor expansion of (log PI) in k 1.011 * [taylor]: Taking taylor expansion of PI in k 1.011 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.011 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.011 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.011 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.011 * [taylor]: Taking taylor expansion of 1.0 in k 1.011 * [taylor]: Taking taylor expansion of (log n) in k 1.011 * [taylor]: Taking taylor expansion of n in k 1.011 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.011 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.011 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.011 * [taylor]: Taking taylor expansion of 1.0 in k 1.011 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.011 * [taylor]: Taking taylor expansion of 2.0 in k 1.012 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.012 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.012 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.012 * [taylor]: Taking taylor expansion of k in n 1.012 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.012 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.012 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.012 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.012 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.012 * [taylor]: Taking taylor expansion of 0.5 in n 1.012 * [taylor]: Taking taylor expansion of k in n 1.012 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.012 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.012 * [taylor]: Taking taylor expansion of 2.0 in n 1.012 * [taylor]: Taking taylor expansion of (* n PI) in n 1.012 * [taylor]: Taking taylor expansion of n in n 1.012 * [taylor]: Taking taylor expansion of PI in n 1.013 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.013 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.013 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.013 * [taylor]: Taking taylor expansion of 0.5 in n 1.013 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.013 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.013 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.013 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.013 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.013 * [taylor]: Taking taylor expansion of 1.0 in n 1.013 * [taylor]: Taking taylor expansion of (log PI) in n 1.013 * [taylor]: Taking taylor expansion of PI in n 1.013 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.013 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.013 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.013 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.013 * [taylor]: Taking taylor expansion of 1.0 in n 1.013 * [taylor]: Taking taylor expansion of (log n) in n 1.013 * [taylor]: Taking taylor expansion of n in n 1.013 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.013 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.013 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.013 * [taylor]: Taking taylor expansion of 1.0 in n 1.013 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.013 * [taylor]: Taking taylor expansion of 2.0 in n 1.014 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.014 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.014 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.014 * [taylor]: Taking taylor expansion of k in n 1.014 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.014 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.014 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.015 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.015 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.015 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.015 * [taylor]: Taking taylor expansion of 0.5 in n 1.015 * [taylor]: Taking taylor expansion of k in n 1.015 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.015 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.015 * [taylor]: Taking taylor expansion of 2.0 in n 1.015 * [taylor]: Taking taylor expansion of (* n PI) in n 1.015 * [taylor]: Taking taylor expansion of n in n 1.015 * [taylor]: Taking taylor expansion of PI in n 1.015 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.015 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.015 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.015 * [taylor]: Taking taylor expansion of 0.5 in n 1.015 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.015 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.015 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.015 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.015 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.015 * [taylor]: Taking taylor expansion of 1.0 in n 1.015 * [taylor]: Taking taylor expansion of (log PI) in n 1.015 * [taylor]: Taking taylor expansion of PI in n 1.015 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.015 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.015 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.015 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.015 * [taylor]: Taking taylor expansion of 1.0 in n 1.015 * [taylor]: Taking taylor expansion of (log n) in n 1.015 * [taylor]: Taking taylor expansion of n in n 1.016 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.016 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.016 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.016 * [taylor]: Taking taylor expansion of 1.0 in n 1.016 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.016 * [taylor]: Taking taylor expansion of 2.0 in n 1.017 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 1.017 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.017 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.017 * [taylor]: Taking taylor expansion of k in k 1.017 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 1.017 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.017 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.017 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.017 * [taylor]: Taking taylor expansion of 0.5 in k 1.017 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.018 * [taylor]: Taking taylor expansion of k in k 1.018 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.018 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.018 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.018 * [taylor]: Taking taylor expansion of 2.0 in k 1.018 * [taylor]: Taking taylor expansion of PI in k 1.018 * [taylor]: Taking taylor expansion of (log n) in k 1.018 * [taylor]: Taking taylor expansion of n in k 1.018 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 1.018 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 1.018 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 1.018 * [taylor]: Taking taylor expansion of 0.5 in k 1.018 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 1.018 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 1.018 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.018 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.018 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.018 * [taylor]: Taking taylor expansion of 1.0 in k 1.018 * [taylor]: Taking taylor expansion of (log PI) in k 1.019 * [taylor]: Taking taylor expansion of PI in k 1.019 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 1.019 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.019 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.019 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.019 * [taylor]: Taking taylor expansion of 1.0 in k 1.019 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.019 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.019 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.019 * [taylor]: Taking taylor expansion of 1.0 in k 1.019 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.019 * [taylor]: Taking taylor expansion of (log 1) in k 1.019 * [taylor]: Taking taylor expansion of 1 in k 1.019 * [taylor]: Taking taylor expansion of (log n) in k 1.019 * [taylor]: Taking taylor expansion of n in k 1.019 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.019 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.019 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.019 * [taylor]: Taking taylor expansion of 1.0 in k 1.019 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.019 * [taylor]: Taking taylor expansion of 2.0 in k 1.023 * [taylor]: Taking taylor expansion of 0 in k 1.031 * [taylor]: Taking taylor expansion of 0 in k 1.044 * [taylor]: Taking taylor expansion of 0 in k 1.065 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in (n k) around 0 1.065 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 1.065 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.065 * [taylor]: Taking taylor expansion of k in k 1.065 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 1.065 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 1.065 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 1.065 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 1.065 * [taylor]: Taking taylor expansion of 0.5 in k 1.065 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 1.065 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 1.065 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.066 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.066 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.066 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.066 * [taylor]: Taking taylor expansion of 1.0 in k 1.066 * [taylor]: Taking taylor expansion of (log PI) in k 1.066 * [taylor]: Taking taylor expansion of PI in k 1.066 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.066 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.066 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.066 * [taylor]: Taking taylor expansion of 1.0 in k 1.066 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.066 * [taylor]: Taking taylor expansion of 2.0 in k 1.066 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.066 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.066 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.066 * [taylor]: Taking taylor expansion of 1.0 in k 1.066 * [taylor]: Taking taylor expansion of (log n) in k 1.066 * [taylor]: Taking taylor expansion of n in k 1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.067 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.067 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.067 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.067 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.067 * [taylor]: Taking taylor expansion of 0.5 in k 1.067 * [taylor]: Taking taylor expansion of k in k 1.067 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.067 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.067 * [taylor]: Taking taylor expansion of 2.0 in k 1.067 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.067 * [taylor]: Taking taylor expansion of PI in k 1.067 * [taylor]: Taking taylor expansion of n in k 1.067 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.067 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.067 * [taylor]: Taking taylor expansion of k in n 1.067 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.067 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 1.067 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 1.067 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 1.067 * [taylor]: Taking taylor expansion of 0.5 in n 1.067 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 1.068 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 1.068 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 1.068 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.068 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.068 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.068 * [taylor]: Taking taylor expansion of 1.0 in n 1.068 * [taylor]: Taking taylor expansion of (log PI) in n 1.068 * [taylor]: Taking taylor expansion of PI in n 1.068 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.068 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.068 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.068 * [taylor]: Taking taylor expansion of 1.0 in n 1.068 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.068 * [taylor]: Taking taylor expansion of 2.0 in n 1.068 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.068 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.068 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.068 * [taylor]: Taking taylor expansion of 1.0 in n 1.068 * [taylor]: Taking taylor expansion of (log n) in n 1.068 * [taylor]: Taking taylor expansion of n in n 1.069 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.069 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.069 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.069 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.069 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.069 * [taylor]: Taking taylor expansion of 0.5 in n 1.069 * [taylor]: Taking taylor expansion of k in n 1.069 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.069 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.069 * [taylor]: Taking taylor expansion of 2.0 in n 1.069 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.069 * [taylor]: Taking taylor expansion of PI in n 1.069 * [taylor]: Taking taylor expansion of n in n 1.069 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.069 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.069 * [taylor]: Taking taylor expansion of k in n 1.070 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.070 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 1.070 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 1.070 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 1.070 * [taylor]: Taking taylor expansion of 0.5 in n 1.070 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 1.070 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 1.070 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 1.070 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.070 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.070 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.070 * [taylor]: Taking taylor expansion of 1.0 in n 1.070 * [taylor]: Taking taylor expansion of (log PI) in n 1.070 * [taylor]: Taking taylor expansion of PI in n 1.070 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.070 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.070 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.070 * [taylor]: Taking taylor expansion of 1.0 in n 1.070 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.070 * [taylor]: Taking taylor expansion of 2.0 in n 1.070 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.070 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.070 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.070 * [taylor]: Taking taylor expansion of 1.0 in n 1.070 * [taylor]: Taking taylor expansion of (log n) in n 1.070 * [taylor]: Taking taylor expansion of n in n 1.071 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.071 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.071 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.071 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.071 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.071 * [taylor]: Taking taylor expansion of 0.5 in n 1.071 * [taylor]: Taking taylor expansion of k in n 1.071 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.071 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.071 * [taylor]: Taking taylor expansion of 2.0 in n 1.071 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.071 * [taylor]: Taking taylor expansion of PI in n 1.071 * [taylor]: Taking taylor expansion of n in n 1.072 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 1.072 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.072 * [taylor]: Taking taylor expansion of k in k 1.072 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 1.072 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.072 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.072 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.072 * [taylor]: Taking taylor expansion of 0.5 in k 1.072 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.072 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.072 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.072 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.073 * [taylor]: Taking taylor expansion of 2.0 in k 1.073 * [taylor]: Taking taylor expansion of PI in k 1.073 * [taylor]: Taking taylor expansion of (log n) in k 1.073 * [taylor]: Taking taylor expansion of n in k 1.073 * [taylor]: Taking taylor expansion of k in k 1.073 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.073 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.073 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.073 * [taylor]: Taking taylor expansion of 0.5 in k 1.073 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.073 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.073 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.073 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.073 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.073 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.073 * [taylor]: Taking taylor expansion of 1.0 in k 1.073 * [taylor]: Taking taylor expansion of (log PI) in k 1.073 * [taylor]: Taking taylor expansion of PI in k 1.073 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.073 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.073 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.073 * [taylor]: Taking taylor expansion of 1.0 in k 1.073 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.073 * [taylor]: Taking taylor expansion of 2.0 in k 1.073 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.073 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.073 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.073 * [taylor]: Taking taylor expansion of 1.0 in k 1.073 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.073 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.074 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.074 * [taylor]: Taking taylor expansion of 1.0 in k 1.074 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.074 * [taylor]: Taking taylor expansion of (log 1) in k 1.074 * [taylor]: Taking taylor expansion of 1 in k 1.074 * [taylor]: Taking taylor expansion of (log n) in k 1.074 * [taylor]: Taking taylor expansion of n in k 1.078 * [taylor]: Taking taylor expansion of 0 in k 1.086 * [taylor]: Taking taylor expansion of 0 in k 1.096 * [taylor]: Taking taylor expansion of 0 in k 1.106 * [approximate]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in (n k) around 0 1.106 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 1.106 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 1.106 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 1.106 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.106 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.106 * [taylor]: Taking taylor expansion of -1 in k 1.106 * [taylor]: Taking taylor expansion of k in k 1.106 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.106 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.106 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.106 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.106 * [taylor]: Taking taylor expansion of -0.5 in k 1.106 * [taylor]: Taking taylor expansion of k in k 1.106 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.106 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.106 * [taylor]: Taking taylor expansion of -2.0 in k 1.106 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.106 * [taylor]: Taking taylor expansion of PI in k 1.106 * [taylor]: Taking taylor expansion of n in k 1.107 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.107 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.107 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.107 * [taylor]: Taking taylor expansion of 0.5 in k 1.107 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.107 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.107 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.107 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.107 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.107 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.107 * [taylor]: Taking taylor expansion of 1.0 in k 1.107 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.107 * [taylor]: Taking taylor expansion of -2.0 in k 1.107 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.107 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.107 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.107 * [taylor]: Taking taylor expansion of 1.0 in k 1.107 * [taylor]: Taking taylor expansion of (log PI) in k 1.107 * [taylor]: Taking taylor expansion of PI in k 1.107 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.107 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.107 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.107 * [taylor]: Taking taylor expansion of 1.0 in k 1.107 * [taylor]: Taking taylor expansion of (log n) in k 1.107 * [taylor]: Taking taylor expansion of n in k 1.108 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.108 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.108 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.108 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.108 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.108 * [taylor]: Taking taylor expansion of -1 in n 1.108 * [taylor]: Taking taylor expansion of k in n 1.108 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.108 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.108 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.108 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.108 * [taylor]: Taking taylor expansion of -0.5 in n 1.108 * [taylor]: Taking taylor expansion of k in n 1.108 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.108 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.108 * [taylor]: Taking taylor expansion of -2.0 in n 1.108 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.109 * [taylor]: Taking taylor expansion of PI in n 1.109 * [taylor]: Taking taylor expansion of n in n 1.109 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.109 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.109 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.109 * [taylor]: Taking taylor expansion of 0.5 in n 1.109 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.109 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.109 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.109 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.109 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.109 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.109 * [taylor]: Taking taylor expansion of 1.0 in n 1.109 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.109 * [taylor]: Taking taylor expansion of -2.0 in n 1.109 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.109 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.109 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.109 * [taylor]: Taking taylor expansion of 1.0 in n 1.109 * [taylor]: Taking taylor expansion of (log PI) in n 1.109 * [taylor]: Taking taylor expansion of PI in n 1.109 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.109 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.109 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.109 * [taylor]: Taking taylor expansion of 1.0 in n 1.109 * [taylor]: Taking taylor expansion of (log n) in n 1.109 * [taylor]: Taking taylor expansion of n in n 1.110 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.110 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.110 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.111 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.111 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.111 * [taylor]: Taking taylor expansion of -1 in n 1.111 * [taylor]: Taking taylor expansion of k in n 1.111 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.111 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.111 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.111 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.111 * [taylor]: Taking taylor expansion of -0.5 in n 1.111 * [taylor]: Taking taylor expansion of k in n 1.111 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.111 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.111 * [taylor]: Taking taylor expansion of -2.0 in n 1.111 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.111 * [taylor]: Taking taylor expansion of PI in n 1.111 * [taylor]: Taking taylor expansion of n in n 1.111 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.111 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.111 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.111 * [taylor]: Taking taylor expansion of 0.5 in n 1.111 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.111 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.111 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.111 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.111 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.111 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.112 * [taylor]: Taking taylor expansion of 1.0 in n 1.112 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.112 * [taylor]: Taking taylor expansion of -2.0 in n 1.112 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.112 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.112 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.112 * [taylor]: Taking taylor expansion of 1.0 in n 1.112 * [taylor]: Taking taylor expansion of (log PI) in n 1.112 * [taylor]: Taking taylor expansion of PI in n 1.112 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.112 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.112 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.112 * [taylor]: Taking taylor expansion of 1.0 in n 1.112 * [taylor]: Taking taylor expansion of (log n) in n 1.112 * [taylor]: Taking taylor expansion of n in n 1.113 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 1.113 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1.113 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1.113 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.113 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.113 * [taylor]: Taking taylor expansion of -0.5 in k 1.113 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.113 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.113 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.113 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.113 * [taylor]: Taking taylor expansion of -2.0 in k 1.113 * [taylor]: Taking taylor expansion of PI in k 1.113 * [taylor]: Taking taylor expansion of (log n) in k 1.113 * [taylor]: Taking taylor expansion of n in k 1.113 * [taylor]: Taking taylor expansion of k in k 1.114 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.114 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.114 * [taylor]: Taking taylor expansion of -1 in k 1.114 * [taylor]: Taking taylor expansion of k in k 1.114 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.114 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.114 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.114 * [taylor]: Taking taylor expansion of 0.5 in k 1.114 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.114 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.114 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.114 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.114 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.114 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.114 * [taylor]: Taking taylor expansion of 1.0 in k 1.114 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.114 * [taylor]: Taking taylor expansion of -2.0 in k 1.114 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.114 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.114 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.114 * [taylor]: Taking taylor expansion of 1.0 in k 1.114 * [taylor]: Taking taylor expansion of (log PI) in k 1.114 * [taylor]: Taking taylor expansion of PI in k 1.115 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.115 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.115 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.115 * [taylor]: Taking taylor expansion of 1.0 in k 1.115 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.115 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.115 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.115 * [taylor]: Taking taylor expansion of 1.0 in k 1.115 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.115 * [taylor]: Taking taylor expansion of (log 1) in k 1.115 * [taylor]: Taking taylor expansion of 1 in k 1.115 * [taylor]: Taking taylor expansion of (log n) in k 1.115 * [taylor]: Taking taylor expansion of n in k 1.119 * [taylor]: Taking taylor expansion of 0 in k 1.127 * [taylor]: Taking taylor expansion of 0 in k 1.137 * [taylor]: Taking taylor expansion of 0 in k 1.138 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.139 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.139 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.139 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.139 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.139 * [taylor]: Taking taylor expansion of 0.5 in n 1.139 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.139 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.139 * [taylor]: Taking taylor expansion of 2.0 in n 1.139 * [taylor]: Taking taylor expansion of (* n PI) in n 1.139 * [taylor]: Taking taylor expansion of n in n 1.139 * [taylor]: Taking taylor expansion of PI in n 1.139 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.139 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.139 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.139 * [taylor]: Taking taylor expansion of 0.5 in n 1.139 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.139 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.139 * [taylor]: Taking taylor expansion of 2.0 in n 1.139 * [taylor]: Taking taylor expansion of (* n PI) in n 1.139 * [taylor]: Taking taylor expansion of n in n 1.139 * [taylor]: Taking taylor expansion of PI in n 1.147 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.147 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.147 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.147 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.147 * [taylor]: Taking taylor expansion of 0.5 in n 1.147 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.147 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.147 * [taylor]: Taking taylor expansion of 2.0 in n 1.147 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.147 * [taylor]: Taking taylor expansion of PI in n 1.147 * [taylor]: Taking taylor expansion of n in n 1.147 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.147 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.147 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.147 * [taylor]: Taking taylor expansion of 0.5 in n 1.147 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.147 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.147 * [taylor]: Taking taylor expansion of 2.0 in n 1.147 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.147 * [taylor]: Taking taylor expansion of PI in n 1.147 * [taylor]: Taking taylor expansion of n in n 1.155 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.155 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.155 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.155 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.155 * [taylor]: Taking taylor expansion of 0.5 in n 1.155 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.155 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.155 * [taylor]: Taking taylor expansion of -2.0 in n 1.155 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.155 * [taylor]: Taking taylor expansion of PI in n 1.155 * [taylor]: Taking taylor expansion of n in n 1.155 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.155 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.155 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.155 * [taylor]: Taking taylor expansion of 0.5 in n 1.155 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.155 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.155 * [taylor]: Taking taylor expansion of -2.0 in n 1.155 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.155 * [taylor]: Taking taylor expansion of PI in n 1.155 * [taylor]: Taking taylor expansion of n in n 1.163 * * * [progress]: simplifying candidates 1.165 * [simplify]: Simplifying using # : (* PI (* 2.0 n)) (* PI (* 2.0 n)) (+ (log PI) (+ (log 2.0) (log n))) (+ (log PI) (log (* 2.0 n))) (log (* PI (* 2.0 n))) (exp (* PI (* 2.0 n))) (* (* (* PI PI) PI) (* (* (* 2.0 2.0) 2.0) (* (* n n) n))) (* (* (* PI PI) PI) (* (* (* 2.0 n) (* 2.0 n)) (* 2.0 n))) (* (cbrt (* PI (* 2.0 n))) (cbrt (* PI (* 2.0 n)))) (cbrt (* PI (* 2.0 n))) (* (* (* PI (* 2.0 n)) (* PI (* 2.0 n))) (* PI (* 2.0 n))) (sqrt (* PI (* 2.0 n))) (sqrt (* PI (* 2.0 n))) (* PI 2.0) (* (cbrt PI) (* 2.0 n)) (* (sqrt PI) (* 2.0 n)) (* PI (* 2.0 n)) (* PI n) (+ (log PI) (log n)) (log (* PI n)) (exp (* PI n)) (* (* (* PI PI) PI) (* (* n n) n)) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (* (* (* PI n) (* PI n)) (* PI n)) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) (* PI 1) (* (cbrt PI) n) (* (sqrt PI) n) (* PI n) (- (* (+ (log 2.0) (+ (log PI) (log n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0)))) (- (* (+ (log 2.0) (+ (log PI) (log n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0)))) (- (* (+ (log 2.0) (+ (log PI) (log n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0)))) (- (* (+ (log 2.0) (+ (log PI) (log n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0)))) (- (* (+ (log 2.0) (+ (log PI) (log n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (log (pow (* PI (* 2.0 n)) (/ k 2.0))))) (- (* (+ (log 2.0) (+ (log PI) (log n))) (/ 1.0 2.0)) (log (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (- (* (+ (log 2.0) (log (* PI n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0)))) (- (* (+ (log 2.0) (log (* PI n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0)))) (- (* (+ (log 2.0) (log (* PI n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0)))) (- (* (+ (log 2.0) (log (* PI n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0)))) (- (* (+ (log 2.0) (log (* PI n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (log (pow (* PI (* 2.0 n)) (/ k 2.0))))) (- (* (+ (log 2.0) (log (* PI n))) (/ 1.0 2.0)) (log (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0)))) (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0)))) (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0)))) (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0)))) (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (log (pow (* PI (* 2.0 n)) (/ k 2.0))))) (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (log (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0)))) (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0)))) (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0)))) (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0)))) (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (log (pow (* PI (* 2.0 n)) (/ k 2.0))))) (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (log (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (- (log (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0)))) (- (log (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0)))) (- (log (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0)))) (- (log (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ k 2.0)))) (- (log (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* PI (* 2.0 n)) (/ k 2.0))))) (- (log (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (exp (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 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 k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (pow (* PI (* 2.0 n)) (/ k 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 k) (pow (* PI (* 2.0 n)) (/ k 2.0))) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (* (cbrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (* (* (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (neg (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (neg (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (/ (pow 2.0 (/ 1.0 2.0)) (sqrt k)) (/ (pow (* PI n) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0)))) (sqrt k)) (/ (cbrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (sqrt k)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ 1 (sqrt k)) (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ (pow (* 2.0 (* PI n)) (/ (/ 1.0 2.0) 2)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (/ (/ 1.0 2.0) 2)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (/ (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))) (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (sqrt k)) (/ (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))) (pow (* PI n) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0)))) (/ (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0)))) (/ (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))) (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))) (pow (* 2.0 (* PI n)) (/ (/ 1.0 2.0) 2))) (* (+ (log 2.0) (+ (log PI) (log n))) (/ 1.0 2.0)) (* (+ (log 2.0) (log (* 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 (/ 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 (/ 1.0 2.0)) (pow (* PI n) (/ 1.0 2.0)) (log (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (exp (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (* (cbrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0)))) (cbrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (* (* (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (pow (* 2.0 (* PI n)) (/ (/ 1.0 2.0) 2)) (pow (* 2.0 (* PI n)) (/ (/ 1.0 2.0) 2)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* n PI) (* n PI) (* n PI) (- (+ (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (* NAN (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* (* (pow k 2) (pow NAN 5)) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) (+ (* (* k (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5)) (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))))))))) (+ (* 0.5 (* (* k (* NAN (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (pow k 2) (* (pow NAN 3) (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))))))) (+ (* (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)) (+ (* (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)) (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)))) (+ (* (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5)) (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5))) (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))))) 1.200 * * [simplify]: iteration 0 : 5151 enodes (cost 2145 ) 1.207 * [simplify]: Simplified to: (* PI (* 2.0 n)) (* PI (* 2.0 n)) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (pow (pow (exp PI) n) 2.0) (pow (* PI (* 2.0 n)) 3) (pow (* PI (* 2.0 n)) 3) (* (cbrt (* PI (* 2.0 n))) (cbrt (* PI (* 2.0 n)))) (cbrt (* PI (* 2.0 n))) (pow (* PI (* 2.0 n)) 3) (sqrt (* PI (* 2.0 n))) (sqrt (* PI (* 2.0 n))) (* PI 2.0) (* 2.0 (* n (cbrt PI))) (* 2.0 (* n (sqrt PI))) (* PI (* 2.0 n)) (* PI n) (log (* PI n)) (log (* PI n)) (pow (exp PI) n) (pow (* PI n) 3) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (pow (* PI n) 3) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) PI (* n (cbrt PI)) (* n (sqrt PI)) (* PI n) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (exp (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (pow (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))) 3) (pow (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))) 3) (* (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (pow (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))) 3) (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (neg (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (* (sqrt k) (neg (pow (* PI (* 2.0 n)) (/ k 2.0)))) (/ (pow 2.0 (/ 1.0 2.0)) (sqrt k)) (/ (pow (* PI n) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (* (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (sqrt k))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (sqrt k)) (/ (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ 1 (sqrt k)) (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ (pow (* PI (* 2.0 n)) (* 1/2 (/ 1.0 2.0))) (sqrt k)) (/ (pow (* PI (* 2.0 n)) (* 1/2 (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (* (sqrt k) (/ (pow (* PI (* 2.0 n)) (/ k 2.0)) (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (sqrt k)) (* (sqrt k) (/ (pow (* PI (* 2.0 n)) (/ k 2.0)) (pow (* PI n) (/ 1.0 2.0)))) (* (sqrt k) (/ (pow (* PI (* 2.0 n)) (/ k 2.0)) (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))))) (* (sqrt k) (/ (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))))) (* (sqrt k) (/ (pow (* PI (* 2.0 n)) (/ k 2.0)) (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (* (sqrt k) (/ (pow (* PI (* 2.0 n)) (/ k 2.0)) (pow (* PI (* 2.0 n)) (* 1/2 (/ 1.0 2.0))))) (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* PI (* 2.0 n)) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* PI (* 2.0 n)) (sqrt (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (* (cbrt 1.0) (/ (cbrt 1.0) (* (cbrt 2.0) (cbrt 2.0))))) (pow (* PI (* 2.0 n)) (* (cbrt 1.0) (/ (cbrt 1.0) (sqrt 2.0)))) (pow (* PI (* 2.0 n)) (* (cbrt 1.0) (cbrt 1.0))) (pow (* PI (* 2.0 n)) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* PI (* 2.0 n)) (sqrt 1.0)) (pow (* PI (* 2.0 n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (pow (* PI (* 2.0 n)) 1.0) (pow 2.0 (/ 1.0 2.0)) (pow (* PI n) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (exp (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (* (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (pow (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) 3) (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (* 1/2 (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (* 1/2 (/ 1.0 2.0))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI n) (* PI n) (* PI n) (+ (* 0.125 (* k (* k (* (pow (log (* PI 2.0)) 2) (* NAN (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5)))))) (+ (* (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.125 (* k (* k (* NAN (pow (log n) 2))))) (* k (* k (pow NAN 5))))) (- (+ (* (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (* (* (* k k) (* (* (log n) (log (* PI 2.0))) NAN)) 0.25)) (* (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* k (pow NAN 3)) NAN))) (+ (* 0.5 (* (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* k (* (log (* PI 2.0)) NAN)) (* (log n) (* k (* k (pow NAN 3))))))) (* (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.5 (* (log n) (* k NAN))) (* 0.5 (* k (* k (* (log (* PI 2.0)) (pow NAN 3))))))))))) (+ (* (pow NAN 5) (/ (pow (* (pow PI 1.0) (/ (pow 2.0 1.0) (pow (/ 1 (pow n 1.0)) 1.0))) 0.5) (* (pow k 3) (pow (* PI (* 2.0 n)) (* k 0.5))))) (* (pow (* (pow PI 1.0) (/ (pow 2.0 1.0) (pow (/ 1 (pow n 1.0)) 1.0))) 0.5) (+ (/ (pow NAN 3) (* k (* k (pow (* PI (* 2.0 n)) (* k 0.5))))) (/ NAN (* k (pow (* PI (* 2.0 n)) (* k 0.5))))))) (* (pow (* (pow PI 1.0) (/ (pow -2.0 1.0) (pow (pow (/ -1 n) 1.0) 1.0))) 0.5) (+ (/ NAN (* k (pow (pow (/ (exp (log (* PI -2.0))) (/ -1 n)) k) 0.5))) (/ 1 (* NAN (pow (pow (/ (exp (log (* PI -2.0))) (/ -1 n)) k) 0.5))))) (pow (* PI (* 2.0 n)) 0.5) (pow (* PI (* 2.0 n)) 0.5) (pow (/ (exp (log (* PI -2.0))) (/ -1 n)) 0.5) 1.208 * * * [progress]: adding candidates to table 1.397 * * [progress]: iteration 3 / 4 1.397 * * * [progress]: picking best candidate 1.441 * * * * [pick]: Picked # 1.441 * * * [progress]: localizing error 1.460 * * * [progress]: generating rewritten candidates 1.460 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 1.465 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 1.470 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.485 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.513 * * * [progress]: generating series expansions 1.513 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 1.513 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.513 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.513 * [taylor]: Taking taylor expansion of 2.0 in n 1.513 * [taylor]: Taking taylor expansion of (* n PI) in n 1.513 * [taylor]: Taking taylor expansion of n in n 1.513 * [taylor]: Taking taylor expansion of PI in n 1.513 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.513 * [taylor]: Taking taylor expansion of 2.0 in n 1.513 * [taylor]: Taking taylor expansion of (* n PI) in n 1.513 * [taylor]: Taking taylor expansion of n in n 1.513 * [taylor]: Taking taylor expansion of PI in n 1.514 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.514 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.514 * [taylor]: Taking taylor expansion of 2.0 in n 1.514 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.514 * [taylor]: Taking taylor expansion of PI in n 1.514 * [taylor]: Taking taylor expansion of n in n 1.514 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.514 * [taylor]: Taking taylor expansion of 2.0 in n 1.514 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.514 * [taylor]: Taking taylor expansion of PI in n 1.514 * [taylor]: Taking taylor expansion of n in n 1.515 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.515 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.515 * [taylor]: Taking taylor expansion of -2.0 in n 1.515 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.515 * [taylor]: Taking taylor expansion of PI in n 1.515 * [taylor]: Taking taylor expansion of n in n 1.515 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.515 * [taylor]: Taking taylor expansion of -2.0 in n 1.515 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.515 * [taylor]: Taking taylor expansion of PI in n 1.515 * [taylor]: Taking taylor expansion of n in n 1.516 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 1.516 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.516 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.516 * [taylor]: Taking taylor expansion of 2.0 in n 1.516 * [taylor]: Taking taylor expansion of (* n PI) in n 1.516 * [taylor]: Taking taylor expansion of n in n 1.516 * [taylor]: Taking taylor expansion of PI in n 1.516 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.516 * [taylor]: Taking taylor expansion of 2.0 in n 1.517 * [taylor]: Taking taylor expansion of (* n PI) in n 1.517 * [taylor]: Taking taylor expansion of n in n 1.517 * [taylor]: Taking taylor expansion of PI in n 1.517 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.517 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.517 * [taylor]: Taking taylor expansion of 2.0 in n 1.517 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.517 * [taylor]: Taking taylor expansion of PI in n 1.517 * [taylor]: Taking taylor expansion of n in n 1.518 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.518 * [taylor]: Taking taylor expansion of 2.0 in n 1.518 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.518 * [taylor]: Taking taylor expansion of PI in n 1.518 * [taylor]: Taking taylor expansion of n in n 1.518 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.518 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.519 * [taylor]: Taking taylor expansion of -2.0 in n 1.519 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.519 * [taylor]: Taking taylor expansion of PI in n 1.519 * [taylor]: Taking taylor expansion of n in n 1.519 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.519 * [taylor]: Taking taylor expansion of -2.0 in n 1.519 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.519 * [taylor]: Taking taylor expansion of PI in n 1.519 * [taylor]: Taking taylor expansion of n in n 1.519 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.520 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in (n k) around 0 1.520 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 1.520 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.520 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.520 * [taylor]: Taking taylor expansion of k in k 1.520 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 1.520 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.520 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.520 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.520 * [taylor]: Taking taylor expansion of 0.5 in k 1.520 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.520 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.520 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.520 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.520 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.520 * [taylor]: Taking taylor expansion of 1.0 in k 1.520 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.520 * [taylor]: Taking taylor expansion of 2.0 in k 1.520 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.520 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.520 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.520 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.520 * [taylor]: Taking taylor expansion of 1.0 in k 1.520 * [taylor]: Taking taylor expansion of (log n) in k 1.520 * [taylor]: Taking taylor expansion of n in k 1.520 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.520 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.520 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.520 * [taylor]: Taking taylor expansion of 1.0 in k 1.521 * [taylor]: Taking taylor expansion of (log PI) in k 1.521 * [taylor]: Taking taylor expansion of PI in k 1.521 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.521 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.521 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.521 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.521 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.521 * [taylor]: Taking taylor expansion of 0.5 in k 1.521 * [taylor]: Taking taylor expansion of k in k 1.521 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.521 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.522 * [taylor]: Taking taylor expansion of 2.0 in k 1.522 * [taylor]: Taking taylor expansion of (* n PI) in k 1.522 * [taylor]: Taking taylor expansion of n in k 1.522 * [taylor]: Taking taylor expansion of PI in k 1.522 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.522 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.522 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.522 * [taylor]: Taking taylor expansion of k in n 1.522 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.522 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.522 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.522 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.522 * [taylor]: Taking taylor expansion of 0.5 in n 1.522 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.522 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.522 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.522 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.522 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.522 * [taylor]: Taking taylor expansion of 1.0 in n 1.522 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.522 * [taylor]: Taking taylor expansion of 2.0 in n 1.522 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.522 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.523 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.523 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.523 * [taylor]: Taking taylor expansion of 1.0 in n 1.523 * [taylor]: Taking taylor expansion of (log n) in n 1.523 * [taylor]: Taking taylor expansion of n in n 1.523 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.523 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.523 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.523 * [taylor]: Taking taylor expansion of 1.0 in n 1.523 * [taylor]: Taking taylor expansion of (log PI) in n 1.523 * [taylor]: Taking taylor expansion of PI in n 1.524 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.524 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.524 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.524 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.524 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.524 * [taylor]: Taking taylor expansion of 0.5 in n 1.524 * [taylor]: Taking taylor expansion of k in n 1.524 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.524 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.524 * [taylor]: Taking taylor expansion of 2.0 in n 1.524 * [taylor]: Taking taylor expansion of (* n PI) in n 1.524 * [taylor]: Taking taylor expansion of n in n 1.524 * [taylor]: Taking taylor expansion of PI in n 1.524 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.524 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.524 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.524 * [taylor]: Taking taylor expansion of k in n 1.524 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.524 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.524 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.524 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.524 * [taylor]: Taking taylor expansion of 0.5 in n 1.524 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.524 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.525 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.525 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.525 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.525 * [taylor]: Taking taylor expansion of 1.0 in n 1.525 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.525 * [taylor]: Taking taylor expansion of 2.0 in n 1.525 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.525 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.525 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.525 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.525 * [taylor]: Taking taylor expansion of 1.0 in n 1.525 * [taylor]: Taking taylor expansion of (log n) in n 1.525 * [taylor]: Taking taylor expansion of n in n 1.525 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.525 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.525 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.525 * [taylor]: Taking taylor expansion of 1.0 in n 1.525 * [taylor]: Taking taylor expansion of (log PI) in n 1.525 * [taylor]: Taking taylor expansion of PI in n 1.526 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.526 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.526 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.526 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.526 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.526 * [taylor]: Taking taylor expansion of 0.5 in n 1.526 * [taylor]: Taking taylor expansion of k in n 1.526 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.526 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.526 * [taylor]: Taking taylor expansion of 2.0 in n 1.526 * [taylor]: Taking taylor expansion of (* n PI) in n 1.526 * [taylor]: Taking taylor expansion of n in n 1.526 * [taylor]: Taking taylor expansion of PI in n 1.527 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 1.527 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.527 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.527 * [taylor]: Taking taylor expansion of k in k 1.527 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 1.527 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.527 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.527 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.527 * [taylor]: Taking taylor expansion of 0.5 in k 1.527 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.527 * [taylor]: Taking taylor expansion of k in k 1.527 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.527 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.527 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.527 * [taylor]: Taking taylor expansion of 2.0 in k 1.527 * [taylor]: Taking taylor expansion of PI in k 1.527 * [taylor]: Taking taylor expansion of (log n) in k 1.527 * [taylor]: Taking taylor expansion of n in k 1.528 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 1.528 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 1.528 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 1.528 * [taylor]: Taking taylor expansion of 0.5 in k 1.528 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 1.528 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 1.528 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.528 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.528 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.528 * [taylor]: Taking taylor expansion of 1.0 in k 1.528 * [taylor]: Taking taylor expansion of (log PI) in k 1.528 * [taylor]: Taking taylor expansion of PI in k 1.528 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 1.528 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.528 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.528 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.528 * [taylor]: Taking taylor expansion of 1.0 in k 1.528 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.528 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.528 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.528 * [taylor]: Taking taylor expansion of 1.0 in k 1.528 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.528 * [taylor]: Taking taylor expansion of (log 1) in k 1.528 * [taylor]: Taking taylor expansion of 1 in k 1.529 * [taylor]: Taking taylor expansion of (log n) in k 1.529 * [taylor]: Taking taylor expansion of n in k 1.529 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.529 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.529 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.529 * [taylor]: Taking taylor expansion of 1.0 in k 1.529 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.529 * [taylor]: Taking taylor expansion of 2.0 in k 1.533 * [taylor]: Taking taylor expansion of 0 in k 1.540 * [taylor]: Taking taylor expansion of 0 in k 1.555 * [taylor]: Taking taylor expansion of 0 in k 1.576 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k))) in (n k) around 0 1.576 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k))) in k 1.576 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.576 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.576 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.576 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.576 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.576 * [taylor]: Taking taylor expansion of 0.5 in k 1.576 * [taylor]: Taking taylor expansion of k in k 1.576 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.576 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.576 * [taylor]: Taking taylor expansion of 2.0 in k 1.576 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.576 * [taylor]: Taking taylor expansion of PI in k 1.576 * [taylor]: Taking taylor expansion of n in k 1.576 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k)) in k 1.576 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.576 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.576 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.576 * [taylor]: Taking taylor expansion of 0.5 in k 1.576 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.576 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.576 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.576 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.576 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.576 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.576 * [taylor]: Taking taylor expansion of 1.0 in k 1.576 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.576 * [taylor]: Taking taylor expansion of 2.0 in k 1.576 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.576 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.577 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.577 * [taylor]: Taking taylor expansion of 1.0 in k 1.577 * [taylor]: Taking taylor expansion of (log PI) in k 1.577 * [taylor]: Taking taylor expansion of PI in k 1.577 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.577 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.577 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.577 * [taylor]: Taking taylor expansion of 1.0 in k 1.577 * [taylor]: Taking taylor expansion of (log n) in k 1.577 * [taylor]: Taking taylor expansion of n in k 1.578 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.578 * [taylor]: Taking taylor expansion of k in k 1.578 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k))) in n 1.578 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.578 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.578 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.578 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.578 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.578 * [taylor]: Taking taylor expansion of 0.5 in n 1.578 * [taylor]: Taking taylor expansion of k in n 1.578 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.578 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.578 * [taylor]: Taking taylor expansion of 2.0 in n 1.578 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.578 * [taylor]: Taking taylor expansion of PI in n 1.578 * [taylor]: Taking taylor expansion of n in n 1.578 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k)) in n 1.578 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.578 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.578 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.578 * [taylor]: Taking taylor expansion of 0.5 in n 1.578 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.578 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.578 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.578 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.578 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.578 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.578 * [taylor]: Taking taylor expansion of 1.0 in n 1.578 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.578 * [taylor]: Taking taylor expansion of 2.0 in n 1.579 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.579 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.579 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.579 * [taylor]: Taking taylor expansion of 1.0 in n 1.579 * [taylor]: Taking taylor expansion of (log PI) in n 1.579 * [taylor]: Taking taylor expansion of PI in n 1.579 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.579 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.579 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.579 * [taylor]: Taking taylor expansion of 1.0 in n 1.579 * [taylor]: Taking taylor expansion of (log n) in n 1.579 * [taylor]: Taking taylor expansion of n in n 1.580 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.580 * [taylor]: Taking taylor expansion of k in n 1.580 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k))) in n 1.580 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.580 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.580 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.580 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.580 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.580 * [taylor]: Taking taylor expansion of 0.5 in n 1.580 * [taylor]: Taking taylor expansion of k in n 1.580 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.580 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.580 * [taylor]: Taking taylor expansion of 2.0 in n 1.580 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.580 * [taylor]: Taking taylor expansion of PI in n 1.580 * [taylor]: Taking taylor expansion of n in n 1.580 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k)) in n 1.580 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.580 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.580 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.580 * [taylor]: Taking taylor expansion of 0.5 in n 1.580 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.581 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.581 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.581 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.581 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.581 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.581 * [taylor]: Taking taylor expansion of 1.0 in n 1.581 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.581 * [taylor]: Taking taylor expansion of 2.0 in n 1.581 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.581 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.581 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.581 * [taylor]: Taking taylor expansion of 1.0 in n 1.581 * [taylor]: Taking taylor expansion of (log PI) in n 1.581 * [taylor]: Taking taylor expansion of PI in n 1.581 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.581 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.581 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.581 * [taylor]: Taking taylor expansion of 1.0 in n 1.581 * [taylor]: Taking taylor expansion of (log n) in n 1.581 * [taylor]: Taking taylor expansion of n in n 1.582 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.582 * [taylor]: Taking taylor expansion of k in n 1.583 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 1.583 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.583 * [taylor]: Taking taylor expansion of k in k 1.583 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 1.583 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.583 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.583 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.583 * [taylor]: Taking taylor expansion of 0.5 in k 1.583 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.583 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.583 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.583 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.583 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.583 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.583 * [taylor]: Taking taylor expansion of 1.0 in k 1.583 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.583 * [taylor]: Taking taylor expansion of 2.0 in k 1.583 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.583 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.583 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.583 * [taylor]: Taking taylor expansion of 1.0 in k 1.583 * [taylor]: Taking taylor expansion of (log PI) in k 1.583 * [taylor]: Taking taylor expansion of PI in k 1.583 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.583 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.583 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.583 * [taylor]: Taking taylor expansion of 1.0 in k 1.583 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.583 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.583 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.583 * [taylor]: Taking taylor expansion of 1.0 in k 1.583 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.583 * [taylor]: Taking taylor expansion of (log 1) in k 1.583 * [taylor]: Taking taylor expansion of 1 in k 1.583 * [taylor]: Taking taylor expansion of (log n) in k 1.583 * [taylor]: Taking taylor expansion of n in k 1.584 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.584 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.584 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.585 * [taylor]: Taking taylor expansion of 0.5 in k 1.585 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.585 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.585 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.585 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.585 * [taylor]: Taking taylor expansion of 2.0 in k 1.585 * [taylor]: Taking taylor expansion of PI in k 1.585 * [taylor]: Taking taylor expansion of (log n) in k 1.585 * [taylor]: Taking taylor expansion of n in k 1.585 * [taylor]: Taking taylor expansion of k in k 1.589 * [taylor]: Taking taylor expansion of 0 in k 1.596 * [taylor]: Taking taylor expansion of 0 in k 1.608 * [taylor]: Taking taylor expansion of 0 in k 1.617 * [approximate]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in (n k) around 0 1.617 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 1.617 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 1.617 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 1.617 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.617 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.617 * [taylor]: Taking taylor expansion of -1 in k 1.617 * [taylor]: Taking taylor expansion of k in k 1.617 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.617 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.617 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.617 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.617 * [taylor]: Taking taylor expansion of -0.5 in k 1.617 * [taylor]: Taking taylor expansion of k in k 1.617 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.617 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.617 * [taylor]: Taking taylor expansion of -2.0 in k 1.617 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.618 * [taylor]: Taking taylor expansion of PI in k 1.618 * [taylor]: Taking taylor expansion of n in k 1.618 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.618 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.618 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.618 * [taylor]: Taking taylor expansion of 0.5 in k 1.618 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.618 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.618 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.618 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.618 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.618 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.618 * [taylor]: Taking taylor expansion of 1.0 in k 1.618 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.618 * [taylor]: Taking taylor expansion of -2.0 in k 1.618 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.618 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.618 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.618 * [taylor]: Taking taylor expansion of 1.0 in k 1.618 * [taylor]: Taking taylor expansion of (log PI) in k 1.618 * [taylor]: Taking taylor expansion of PI in k 1.618 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.618 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.618 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.618 * [taylor]: Taking taylor expansion of 1.0 in k 1.619 * [taylor]: Taking taylor expansion of (log n) in k 1.619 * [taylor]: Taking taylor expansion of n in k 1.619 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.619 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.619 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.619 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.619 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.620 * [taylor]: Taking taylor expansion of -1 in n 1.620 * [taylor]: Taking taylor expansion of k in n 1.620 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.620 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.620 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.620 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.620 * [taylor]: Taking taylor expansion of -0.5 in n 1.620 * [taylor]: Taking taylor expansion of k in n 1.620 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.620 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.620 * [taylor]: Taking taylor expansion of -2.0 in n 1.620 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.620 * [taylor]: Taking taylor expansion of PI in n 1.620 * [taylor]: Taking taylor expansion of n in n 1.620 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.620 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.620 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.620 * [taylor]: Taking taylor expansion of 0.5 in n 1.620 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.620 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.620 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.620 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.620 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.620 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.621 * [taylor]: Taking taylor expansion of 1.0 in n 1.621 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.621 * [taylor]: Taking taylor expansion of -2.0 in n 1.621 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.621 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.621 * [taylor]: Taking taylor expansion of 1.0 in n 1.621 * [taylor]: Taking taylor expansion of (log PI) in n 1.621 * [taylor]: Taking taylor expansion of PI in n 1.621 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.621 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.621 * [taylor]: Taking taylor expansion of 1.0 in n 1.621 * [taylor]: Taking taylor expansion of (log n) in n 1.621 * [taylor]: Taking taylor expansion of n in n 1.622 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.622 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.622 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.622 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.622 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.622 * [taylor]: Taking taylor expansion of -1 in n 1.622 * [taylor]: Taking taylor expansion of k in n 1.622 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.622 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.622 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.622 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.622 * [taylor]: Taking taylor expansion of -0.5 in n 1.622 * [taylor]: Taking taylor expansion of k in n 1.622 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.622 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.622 * [taylor]: Taking taylor expansion of -2.0 in n 1.622 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.622 * [taylor]: Taking taylor expansion of PI in n 1.622 * [taylor]: Taking taylor expansion of n in n 1.623 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.623 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.623 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.623 * [taylor]: Taking taylor expansion of 0.5 in n 1.623 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.623 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.623 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.623 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.623 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.623 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.623 * [taylor]: Taking taylor expansion of 1.0 in n 1.623 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.623 * [taylor]: Taking taylor expansion of -2.0 in n 1.623 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.623 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.623 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.623 * [taylor]: Taking taylor expansion of 1.0 in n 1.623 * [taylor]: Taking taylor expansion of (log PI) in n 1.623 * [taylor]: Taking taylor expansion of PI in n 1.623 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.623 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.623 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.623 * [taylor]: Taking taylor expansion of 1.0 in n 1.623 * [taylor]: Taking taylor expansion of (log n) in n 1.623 * [taylor]: Taking taylor expansion of n in n 1.625 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 1.625 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1.625 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1.625 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.625 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.625 * [taylor]: Taking taylor expansion of -0.5 in k 1.625 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.625 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.625 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.625 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.625 * [taylor]: Taking taylor expansion of -2.0 in k 1.625 * [taylor]: Taking taylor expansion of PI in k 1.625 * [taylor]: Taking taylor expansion of (log n) in k 1.625 * [taylor]: Taking taylor expansion of n in k 1.625 * [taylor]: Taking taylor expansion of k in k 1.625 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.625 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.625 * [taylor]: Taking taylor expansion of -1 in k 1.625 * [taylor]: Taking taylor expansion of k in k 1.626 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.626 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.626 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.626 * [taylor]: Taking taylor expansion of 0.5 in k 1.626 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.626 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.626 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.626 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.626 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.626 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.626 * [taylor]: Taking taylor expansion of 1.0 in k 1.626 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.626 * [taylor]: Taking taylor expansion of -2.0 in k 1.626 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.626 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.626 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.626 * [taylor]: Taking taylor expansion of 1.0 in k 1.626 * [taylor]: Taking taylor expansion of (log PI) in k 1.626 * [taylor]: Taking taylor expansion of PI in k 1.626 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.626 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.626 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.626 * [taylor]: Taking taylor expansion of 1.0 in k 1.626 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.626 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.626 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.626 * [taylor]: Taking taylor expansion of 1.0 in k 1.626 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.626 * [taylor]: Taking taylor expansion of (log 1) in k 1.626 * [taylor]: Taking taylor expansion of 1 in k 1.626 * [taylor]: Taking taylor expansion of (log n) in k 1.626 * [taylor]: Taking taylor expansion of n in k 1.631 * [taylor]: Taking taylor expansion of 0 in k 1.639 * [taylor]: Taking taylor expansion of 0 in k 1.650 * [taylor]: Taking taylor expansion of 0 in k 1.651 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.651 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.651 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.651 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.651 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.651 * [taylor]: Taking taylor expansion of 0.5 in n 1.651 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.651 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.651 * [taylor]: Taking taylor expansion of 2.0 in n 1.651 * [taylor]: Taking taylor expansion of (* n PI) in n 1.651 * [taylor]: Taking taylor expansion of n in n 1.651 * [taylor]: Taking taylor expansion of PI in n 1.651 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.651 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.651 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.651 * [taylor]: Taking taylor expansion of 0.5 in n 1.651 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.651 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.651 * [taylor]: Taking taylor expansion of 2.0 in n 1.651 * [taylor]: Taking taylor expansion of (* n PI) in n 1.651 * [taylor]: Taking taylor expansion of n in n 1.651 * [taylor]: Taking taylor expansion of PI in n 1.659 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.659 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.659 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.659 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.659 * [taylor]: Taking taylor expansion of 0.5 in n 1.659 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.659 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.659 * [taylor]: Taking taylor expansion of 2.0 in n 1.659 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.659 * [taylor]: Taking taylor expansion of PI in n 1.659 * [taylor]: Taking taylor expansion of n in n 1.659 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.659 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.659 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.659 * [taylor]: Taking taylor expansion of 0.5 in n 1.659 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.659 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.659 * [taylor]: Taking taylor expansion of 2.0 in n 1.659 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.659 * [taylor]: Taking taylor expansion of PI in n 1.659 * [taylor]: Taking taylor expansion of n in n 1.667 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.667 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.667 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.667 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.667 * [taylor]: Taking taylor expansion of 0.5 in n 1.667 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.667 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.667 * [taylor]: Taking taylor expansion of -2.0 in n 1.667 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.667 * [taylor]: Taking taylor expansion of PI in n 1.667 * [taylor]: Taking taylor expansion of n in n 1.667 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.667 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.667 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.667 * [taylor]: Taking taylor expansion of 0.5 in n 1.667 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.667 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.667 * [taylor]: Taking taylor expansion of -2.0 in n 1.667 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.667 * [taylor]: Taking taylor expansion of PI in n 1.667 * [taylor]: Taking taylor expansion of n in n 1.675 * * * [progress]: simplifying candidates 1.681 * [simplify]: Simplifying using # : (* PI (* 2.0 n)) (* PI (* 2.0 n)) (+ (log PI) (+ (log 2.0) (log n))) (+ (log PI) (log (* 2.0 n))) (log (* PI (* 2.0 n))) (exp (* PI (* 2.0 n))) (* (* (* PI PI) PI) (* (* (* 2.0 2.0) 2.0) (* (* n n) n))) (* (* (* PI PI) PI) (* (* (* 2.0 n) (* 2.0 n)) (* 2.0 n))) (* (cbrt (* PI (* 2.0 n))) 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5763 enodes (cost 10497 ) 1.759 * [simplify]: Simplified to: (* PI (* 2.0 n)) (* PI (* 2.0 n)) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (pow (exp PI) (* 2.0 n)) (* (pow PI 3) (* (pow 2.0 3) (pow n 3))) (* (pow PI 3) (pow (* 2.0 n) 3)) (* (cbrt (* PI (* 2.0 n))) (cbrt (* PI (* 2.0 n)))) (cbrt (* PI (* 2.0 n))) (pow (* PI (* 2.0 n)) 3) (sqrt (* PI (* 2.0 n))) (sqrt (* PI (* 2.0 n))) (* PI 2.0) (* 2.0 (* n (cbrt PI))) (* 2.0 (* n (sqrt PI))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (pow (exp PI) (* 2.0 n)) (* (pow PI 3) (* (pow 2.0 3) (pow n 3))) (* (pow PI 3) (pow (* 2.0 n) 3)) (* (cbrt (* PI (* 2.0 n))) (cbrt (* PI (* 2.0 n)))) (cbrt (* PI (* 2.0 n))) (pow (* PI (* 2.0 n)) 3) (sqrt (* PI (* 2.0 n))) (sqrt (* PI (* 2.0 n))) (* PI 2.0) (* 2.0 (* n (cbrt PI))) (* 2.0 (* n (sqrt PI))) (* PI (* 2.0 n)) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* 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2.0)) 3) (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (* 1/2 (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (* 1/2 (/ 1.0 2.0))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (+ (* 0.125 (* k (* k (* (pow (log (* PI 2.0)) 2) (* NAN (pow (* (pow (pow (exp 1.0) (log n)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5)))))) (+ (* (pow (* (pow (pow (exp 1.0) (log n)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.125 (* k (* k (* NAN (pow (log n) 2))))) (* k (* k (pow NAN 5))))) (- (+ (* (pow (* (pow (pow (exp 1.0) (log n)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* k (pow NAN 3)) NAN)) (* (pow (* (pow (pow (exp 1.0) (log n)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (* (* (* k k) (* (* (log n) (log (* PI 2.0))) NAN)) 0.25))) (+ (* (pow (* (pow (pow (exp 1.0) (log n)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.5 (* (log n) (* NAN k))) (* 0.5 (* k (* k (* (log (* PI 2.0)) (pow NAN 3))))))) (* 0.5 (* (pow (* (pow (pow (exp 1.0) (log n)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* k (* (log (* PI 2.0)) NAN)) (* (log n) (* (pow NAN 3) (* k k)))))))))) (+ (* (/ (pow NAN 5) (* (pow k 3) (pow (pow (exp 0.5) (log (* PI (* 2.0 n)))) k))) (pow (/ (pow PI 1.0) (/ (pow (pow (exp 1.0) (neg (log n))) 1.0) (pow 2.0 1.0))) 0.5)) (* (pow (/ (pow PI 1.0) (/ (pow (pow (exp 1.0) (neg (log n))) 1.0) (pow 2.0 1.0))) 0.5) (+ (/ NAN (* k (pow (pow (exp 0.5) (log (* PI (* 2.0 n)))) k))) (/ (pow NAN 3) (* k (* k (pow (pow (exp 0.5) (log (* PI (* 2.0 n)))) k))))))) (* (pow (/ (pow PI 1.0) (/ (pow (pow (exp 1.0) (log (/ -1 n))) 1.0) (pow -2.0 1.0))) 0.5) (+ (/ NAN (* k (pow (exp 0.5) (* k (- (log (* PI -2.0)) (log (/ -1 n))))))) (/ (exp (neg (* k (* 0.5 (- (log (* PI -2.0)) (log (/ -1 n))))))) NAN))) (pow (exp 0.5) (log (* PI (* 2.0 n)))) (pow (exp 0.5) (log (* PI (* 2.0 n)))) (pow (exp 0.5) (- (log (* PI -2.0)) (log (/ -1 n)))) 1.762 * * * [progress]: adding candidates to table 2.641 * * [progress]: iteration 4 / 4 2.641 * * * [progress]: picking best candidate 2.683 * * * * [pick]: Picked # 2.683 * * * [progress]: localizing error 2.700 * * * [progress]: generating rewritten candidates 2.700 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2) 2.707 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 1) 2.712 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.720 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.739 * * * [progress]: generating series expansions 2.739 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2) 2.739 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 2.739 * [taylor]: Taking taylor expansion of (* n PI) in n 2.739 * [taylor]: Taking taylor expansion of n in n 2.739 * [taylor]: Taking taylor expansion of PI in n 2.739 * [taylor]: Taking taylor expansion of (* n PI) in n 2.739 * [taylor]: Taking taylor expansion of n in n 2.739 * [taylor]: Taking taylor expansion of PI in n 2.740 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 2.740 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.740 * [taylor]: Taking taylor expansion of PI in n 2.740 * [taylor]: Taking taylor expansion of n in n 2.740 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.740 * [taylor]: Taking taylor expansion of PI in n 2.740 * [taylor]: Taking taylor expansion of n in n 2.740 * [approximate]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in (n) around 0 2.741 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 2.741 * [taylor]: Taking taylor expansion of PI in n 2.741 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 2.741 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.741 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.741 * [taylor]: Taking taylor expansion of -1 in n 2.741 * [taylor]: Taking taylor expansion of n in n 2.741 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 2.741 * [taylor]: Taking taylor expansion of PI in n 2.741 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 2.741 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.741 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.741 * [taylor]: Taking taylor expansion of -1 in n 2.741 * [taylor]: Taking taylor expansion of n in n 2.743 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 1) 2.743 * [approximate]: Taking taylor expansion of (* (sqrt n) PI) in (n) around 0 2.743 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 2.743 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.743 * [taylor]: Taking taylor expansion of n in n 2.743 * [taylor]: Taking taylor expansion of PI in n 2.743 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 2.743 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.743 * [taylor]: Taking taylor expansion of n in n 2.743 * [taylor]: Taking taylor expansion of PI in n 2.744 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in (n) around 0 2.744 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 2.744 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.744 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.744 * [taylor]: Taking taylor expansion of n in n 2.744 * [taylor]: Taking taylor expansion of PI in n 2.744 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 2.744 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.744 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.744 * [taylor]: Taking taylor expansion of n in n 2.744 * [taylor]: Taking taylor expansion of PI in n 2.745 * [approximate]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in (n) around 0 2.745 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 2.745 * [taylor]: Taking taylor expansion of PI in n 2.745 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.745 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.745 * [taylor]: Taking taylor expansion of -1 in n 2.745 * [taylor]: Taking taylor expansion of n in n 2.745 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 2.745 * [taylor]: Taking taylor expansion of PI in n 2.745 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.745 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.746 * [taylor]: Taking taylor expansion of -1 in n 2.746 * [taylor]: Taking taylor expansion of n in n 2.747 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.747 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in (n k) around 0 2.747 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 2.747 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.747 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.747 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.747 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.747 * [taylor]: Taking taylor expansion of 0.5 in k 2.747 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.747 * [taylor]: Taking taylor expansion of 1.0 in k 2.747 * [taylor]: Taking taylor expansion of k in k 2.747 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.747 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.747 * [taylor]: Taking taylor expansion of 2.0 in k 2.747 * [taylor]: Taking taylor expansion of (* n PI) in k 2.747 * [taylor]: Taking taylor expansion of n in k 2.747 * [taylor]: Taking taylor expansion of PI in k 2.747 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.747 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.747 * [taylor]: Taking taylor expansion of k in k 2.747 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 2.747 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.747 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.747 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.747 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.748 * [taylor]: Taking taylor expansion of 0.5 in n 2.748 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.748 * [taylor]: Taking taylor expansion of 1.0 in n 2.748 * [taylor]: Taking taylor expansion of k in n 2.748 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.748 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.748 * [taylor]: Taking taylor expansion of 2.0 in n 2.748 * [taylor]: Taking taylor expansion of (* n PI) in n 2.748 * [taylor]: Taking taylor expansion of n in n 2.748 * [taylor]: Taking taylor expansion of PI in n 2.748 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.748 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.748 * [taylor]: Taking taylor expansion of k in n 2.748 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 2.748 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.748 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.748 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.748 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.748 * [taylor]: Taking taylor expansion of 0.5 in n 2.748 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.748 * [taylor]: Taking taylor expansion of 1.0 in n 2.748 * [taylor]: Taking taylor expansion of k in n 2.748 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.748 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.748 * [taylor]: Taking taylor expansion of 2.0 in n 2.748 * [taylor]: Taking taylor expansion of (* n PI) in n 2.748 * [taylor]: Taking taylor expansion of n in n 2.748 * [taylor]: Taking taylor expansion of PI in n 2.749 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.749 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.749 * [taylor]: Taking taylor expansion of k in n 2.749 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 2.749 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.749 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.749 * [taylor]: Taking taylor expansion of k in k 2.749 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.749 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.749 * [taylor]: Taking taylor expansion of 0.5 in k 2.749 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.749 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.749 * [taylor]: Taking taylor expansion of 1.0 in k 2.749 * [taylor]: Taking taylor expansion of k in k 2.749 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.749 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.749 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.749 * [taylor]: Taking taylor expansion of 2.0 in k 2.749 * [taylor]: Taking taylor expansion of PI in k 2.749 * [taylor]: Taking taylor expansion of (log n) in k 2.749 * [taylor]: Taking taylor expansion of n in k 2.750 * [taylor]: Taking taylor expansion of 0 in k 2.755 * [taylor]: Taking taylor expansion of 0 in k 2.758 * [taylor]: Taking taylor expansion of 0 in k 2.766 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in (n k) around 0 2.766 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.766 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.766 * [taylor]: Taking taylor expansion of k in k 2.766 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.766 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.766 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.766 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.766 * [taylor]: Taking taylor expansion of 0.5 in k 2.766 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.766 * [taylor]: Taking taylor expansion of 1.0 in k 2.766 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.766 * [taylor]: Taking taylor expansion of k in k 2.766 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.766 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.766 * [taylor]: Taking taylor expansion of 2.0 in k 2.766 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.766 * [taylor]: Taking taylor expansion of PI in k 2.766 * [taylor]: Taking taylor expansion of n in k 2.766 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.766 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.766 * [taylor]: Taking taylor expansion of k in n 2.767 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.767 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.767 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.767 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.767 * [taylor]: Taking taylor expansion of 0.5 in n 2.767 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.767 * [taylor]: Taking taylor expansion of 1.0 in n 2.767 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.767 * [taylor]: Taking taylor expansion of k in n 2.767 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.767 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.767 * [taylor]: Taking taylor expansion of 2.0 in n 2.767 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.767 * [taylor]: Taking taylor expansion of PI in n 2.767 * [taylor]: Taking taylor expansion of n in n 2.767 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.767 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.767 * [taylor]: Taking taylor expansion of k in n 2.767 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.767 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.767 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.767 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.767 * [taylor]: Taking taylor expansion of 0.5 in n 2.767 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.767 * [taylor]: Taking taylor expansion of 1.0 in n 2.767 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.767 * [taylor]: Taking taylor expansion of k in n 2.767 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.767 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.767 * [taylor]: Taking taylor expansion of 2.0 in n 2.768 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.768 * [taylor]: Taking taylor expansion of PI in n 2.768 * [taylor]: Taking taylor expansion of n in n 2.768 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 2.768 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.768 * [taylor]: Taking taylor expansion of k in k 2.768 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.768 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.768 * [taylor]: Taking taylor expansion of 0.5 in k 2.768 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.768 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.768 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.768 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.768 * [taylor]: Taking taylor expansion of 2.0 in k 2.768 * [taylor]: Taking taylor expansion of PI in k 2.768 * [taylor]: Taking taylor expansion of (log n) in k 2.768 * [taylor]: Taking taylor expansion of n in k 2.768 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.768 * [taylor]: Taking taylor expansion of 1.0 in k 2.768 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.768 * [taylor]: Taking taylor expansion of k in k 2.770 * [taylor]: Taking taylor expansion of 0 in k 2.771 * [taylor]: Taking taylor expansion of 0 in k 2.773 * [taylor]: Taking taylor expansion of 0 in k 2.774 * [approximate]: Taking taylor expansion of (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (n k) around 0 2.774 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.774 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.774 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in k 2.774 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in k 2.774 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.774 * [taylor]: Taking taylor expansion of 0.5 in k 2.774 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.775 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.775 * [taylor]: Taking taylor expansion of k in k 2.775 * [taylor]: Taking taylor expansion of 1.0 in k 2.775 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in k 2.775 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in k 2.775 * [taylor]: Taking taylor expansion of 2.0 in k 2.775 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in k 2.775 * [taylor]: Taking taylor expansion of PI in k 2.775 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in k 2.775 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 2.775 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.775 * [taylor]: Taking taylor expansion of -1 in k 2.775 * [taylor]: Taking taylor expansion of n in k 2.776 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.776 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.776 * [taylor]: Taking taylor expansion of -1 in k 2.776 * [taylor]: Taking taylor expansion of k in k 2.776 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.776 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.776 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 2.776 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 2.776 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.776 * [taylor]: Taking taylor expansion of 0.5 in n 2.776 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.776 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.776 * [taylor]: Taking taylor expansion of k in n 2.776 * [taylor]: Taking taylor expansion of 1.0 in n 2.776 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 2.776 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 2.776 * [taylor]: Taking taylor expansion of 2.0 in n 2.776 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 2.776 * [taylor]: Taking taylor expansion of PI in n 2.776 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 2.776 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.776 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.776 * [taylor]: Taking taylor expansion of -1 in n 2.776 * [taylor]: Taking taylor expansion of n in n 2.777 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.777 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.777 * [taylor]: Taking taylor expansion of -1 in n 2.777 * [taylor]: Taking taylor expansion of k in n 2.777 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.777 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.777 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 2.777 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 2.777 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.777 * [taylor]: Taking taylor expansion of 0.5 in n 2.777 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.777 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.777 * [taylor]: Taking taylor expansion of k in n 2.777 * [taylor]: Taking taylor expansion of 1.0 in n 2.777 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 2.777 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 2.777 * [taylor]: Taking taylor expansion of 2.0 in n 2.777 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 2.777 * [taylor]: Taking taylor expansion of PI in n 2.777 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 2.777 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.777 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.777 * [taylor]: Taking taylor expansion of -1 in n 2.777 * [taylor]: Taking taylor expansion of n in n 2.778 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.778 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.778 * [taylor]: Taking taylor expansion of -1 in n 2.778 * [taylor]: Taking taylor expansion of k in n 2.778 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) (sqrt (/ -1 k))) in k 2.778 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) in k 2.778 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI))))) in k 2.778 * [taylor]: Taking taylor expansion of 0.5 in k 2.778 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))) in k 2.778 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.779 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.779 * [taylor]: Taking taylor expansion of k in k 2.779 * [taylor]: Taking taylor expansion of 1.0 in k 2.779 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (pow NAN 2) PI))) in k 2.779 * [taylor]: Taking taylor expansion of (* 2.0 (* (pow NAN 2) PI)) in k 2.779 * [taylor]: Taking taylor expansion of 2.0 in k 2.779 * [taylor]: Taking taylor expansion of (* (pow NAN 2) PI) in k 2.779 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 2.779 * [taylor]: Taking taylor expansion of NAN in k 2.779 * [taylor]: Taking taylor expansion of PI in k 2.779 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.779 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.779 * [taylor]: Taking taylor expansion of -1 in k 2.779 * [taylor]: Taking taylor expansion of k in k 2.781 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 2)) (sqrt (/ -1 k)))) (* 1.0 (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 2)) (* k (sqrt (/ -1 k)))))) in k 2.782 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 2)) (sqrt (/ -1 k)))) in k 2.782 * [taylor]: Taking taylor expansion of 1.0 in k 2.782 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 2)) (sqrt (/ -1 k))) in k 2.782 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 2)) in k 2.782 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) in k 2.782 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI))))) in k 2.782 * [taylor]: Taking taylor expansion of 0.5 in k 2.782 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))) in k 2.782 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.782 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.782 * [taylor]: Taking taylor expansion of k in k 2.782 * [taylor]: Taking taylor expansion of 1.0 in k 2.782 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (pow NAN 2) PI))) in k 2.782 * [taylor]: Taking taylor expansion of (* 2.0 (* (pow NAN 2) PI)) in k 2.782 * [taylor]: Taking taylor expansion of 2.0 in k 2.782 * [taylor]: Taking taylor expansion of (* (pow NAN 2) PI) in k 2.782 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 2.782 * [taylor]: Taking taylor expansion of NAN in k 2.782 * [taylor]: Taking taylor expansion of PI in k 2.782 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 2.782 * [taylor]: Taking taylor expansion of NAN in k 2.782 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.782 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.782 * [taylor]: Taking taylor expansion of -1 in k 2.782 * [taylor]: Taking taylor expansion of k in k 2.783 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 2)) (* k (sqrt (/ -1 k))))) in k 2.783 * [taylor]: Taking taylor expansion of 1.0 in k 2.783 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 2)) (* k (sqrt (/ -1 k)))) in k 2.783 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 2)) in k 2.783 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) in k 2.783 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI))))) in k 2.783 * [taylor]: Taking taylor expansion of 0.5 in k 2.783 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))) in k 2.783 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.783 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.783 * [taylor]: Taking taylor expansion of k in k 2.783 * [taylor]: Taking taylor expansion of 1.0 in k 2.783 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (pow NAN 2) PI))) in k 2.783 * [taylor]: Taking taylor expansion of (* 2.0 (* (pow NAN 2) PI)) in k 2.783 * [taylor]: Taking taylor expansion of 2.0 in k 2.783 * [taylor]: Taking taylor expansion of (* (pow NAN 2) PI) in k 2.783 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 2.783 * [taylor]: Taking taylor expansion of NAN in k 2.783 * [taylor]: Taking taylor expansion of PI in k 2.784 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 2.784 * [taylor]: Taking taylor expansion of NAN in k 2.784 * [taylor]: Taking taylor expansion of (* k (sqrt (/ -1 k))) in k 2.784 * [taylor]: Taking taylor expansion of k in k 2.784 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.784 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.784 * [taylor]: Taking taylor expansion of -1 in k 2.784 * [taylor]: Taking taylor expansion of k in k 2.788 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.788 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.788 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.788 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.788 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.788 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.788 * [taylor]: Taking taylor expansion of 0.5 in k 2.788 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.788 * [taylor]: Taking taylor expansion of 1.0 in k 2.788 * [taylor]: Taking taylor expansion of k in k 2.788 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.788 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.788 * [taylor]: Taking taylor expansion of 2.0 in k 2.788 * [taylor]: Taking taylor expansion of (* n PI) in k 2.788 * [taylor]: Taking taylor expansion of n in k 2.788 * [taylor]: Taking taylor expansion of PI in k 2.789 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.789 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.789 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.789 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.789 * [taylor]: Taking taylor expansion of 0.5 in n 2.789 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.789 * [taylor]: Taking taylor expansion of 1.0 in n 2.789 * [taylor]: Taking taylor expansion of k in n 2.789 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.789 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.789 * [taylor]: Taking taylor expansion of 2.0 in n 2.789 * [taylor]: Taking taylor expansion of (* n PI) in n 2.789 * [taylor]: Taking taylor expansion of n in n 2.789 * [taylor]: Taking taylor expansion of PI in n 2.789 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.789 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.789 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.789 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.789 * [taylor]: Taking taylor expansion of 0.5 in n 2.789 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.789 * [taylor]: Taking taylor expansion of 1.0 in n 2.789 * [taylor]: Taking taylor expansion of k in n 2.789 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.789 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.789 * [taylor]: Taking taylor expansion of 2.0 in n 2.789 * [taylor]: Taking taylor expansion of (* n PI) in n 2.789 * [taylor]: Taking taylor expansion of n in n 2.789 * [taylor]: Taking taylor expansion of PI in n 2.790 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.790 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.790 * [taylor]: Taking taylor expansion of 0.5 in k 2.790 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.790 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.790 * [taylor]: Taking taylor expansion of 1.0 in k 2.790 * [taylor]: Taking taylor expansion of k in k 2.790 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.790 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.790 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.790 * [taylor]: Taking taylor expansion of 2.0 in k 2.790 * [taylor]: Taking taylor expansion of PI in k 2.790 * [taylor]: Taking taylor expansion of (log n) in k 2.790 * [taylor]: Taking taylor expansion of n in k 2.791 * [taylor]: Taking taylor expansion of 0 in k 2.792 * [taylor]: Taking taylor expansion of 0 in k 2.794 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.794 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.794 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.794 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.794 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.794 * [taylor]: Taking taylor expansion of 0.5 in k 2.795 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.795 * [taylor]: Taking taylor expansion of 1.0 in k 2.795 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.795 * [taylor]: Taking taylor expansion of k in k 2.795 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.795 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.795 * [taylor]: Taking taylor expansion of 2.0 in k 2.795 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.795 * [taylor]: Taking taylor expansion of PI in k 2.795 * [taylor]: Taking taylor expansion of n in k 2.795 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.795 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.795 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.795 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.795 * [taylor]: Taking taylor expansion of 0.5 in n 2.795 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.795 * [taylor]: Taking taylor expansion of 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 (log (* 2.0 (/ PI n))) in n 2.795 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.795 * [taylor]: Taking taylor expansion of 2.0 in n 2.795 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.795 * [taylor]: Taking taylor expansion of PI in n 2.795 * [taylor]: Taking taylor expansion of n in n 2.796 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.796 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.796 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.796 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.796 * [taylor]: Taking taylor expansion of 0.5 in n 2.796 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.796 * [taylor]: Taking taylor expansion of 1.0 in n 2.796 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.796 * [taylor]: Taking taylor expansion of k in n 2.796 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.796 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.796 * [taylor]: Taking taylor expansion of 2.0 in n 2.796 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.796 * [taylor]: Taking taylor expansion of PI in n 2.796 * [taylor]: Taking taylor expansion of n in n 2.796 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.796 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.796 * [taylor]: Taking taylor expansion of 0.5 in k 2.796 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.796 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.796 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.796 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.796 * [taylor]: Taking taylor expansion of 2.0 in k 2.796 * [taylor]: Taking taylor expansion of PI in k 2.796 * [taylor]: Taking taylor expansion of (log n) in k 2.796 * [taylor]: Taking taylor expansion of n in k 2.796 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.796 * [taylor]: Taking taylor expansion of 1.0 in k 2.797 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.797 * [taylor]: Taking taylor expansion of k in k 2.797 * [taylor]: Taking taylor expansion of 0 in k 2.798 * [taylor]: Taking taylor expansion of 0 in k 2.799 * [taylor]: Taking taylor expansion of 0 in k 2.800 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.800 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.800 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in k 2.800 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in k 2.800 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.800 * [taylor]: Taking taylor expansion of 0.5 in k 2.800 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.800 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.800 * [taylor]: Taking taylor expansion of k in k 2.800 * [taylor]: Taking taylor expansion of 1.0 in k 2.800 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in k 2.800 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in k 2.800 * [taylor]: Taking taylor expansion of 2.0 in k 2.800 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in k 2.800 * [taylor]: Taking taylor expansion of PI in k 2.800 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in k 2.800 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 2.800 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.800 * [taylor]: Taking taylor expansion of -1 in k 2.800 * [taylor]: Taking taylor expansion of n in k 2.801 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.801 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 2.801 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 2.801 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.801 * [taylor]: Taking taylor expansion of 0.5 in n 2.801 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.801 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.801 * [taylor]: Taking taylor expansion of k in n 2.801 * [taylor]: Taking taylor expansion of 1.0 in n 2.801 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 2.801 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 2.801 * [taylor]: Taking taylor expansion of 2.0 in n 2.801 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 2.801 * [taylor]: Taking taylor expansion of PI in n 2.801 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 2.801 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.801 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.801 * [taylor]: Taking taylor expansion of -1 in n 2.801 * [taylor]: Taking taylor expansion of n in n 2.802 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.802 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 2.802 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 2.802 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.802 * [taylor]: Taking taylor expansion of 0.5 in n 2.802 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.802 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.802 * [taylor]: Taking taylor expansion of k in n 2.802 * [taylor]: Taking taylor expansion of 1.0 in n 2.802 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 2.802 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 2.802 * [taylor]: Taking taylor expansion of 2.0 in n 2.802 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 2.802 * [taylor]: Taking taylor expansion of PI in n 2.802 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 2.802 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.802 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.802 * [taylor]: Taking taylor expansion of -1 in n 2.802 * [taylor]: Taking taylor expansion of n in n 2.802 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) in k 2.802 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI))))) in k 2.802 * [taylor]: Taking taylor expansion of 0.5 in k 2.802 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))) in k 2.803 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.803 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.803 * [taylor]: Taking taylor expansion of k in k 2.803 * [taylor]: Taking taylor expansion of 1.0 in k 2.803 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (pow NAN 2) PI))) in k 2.803 * [taylor]: Taking taylor expansion of (* 2.0 (* (pow NAN 2) PI)) in k 2.803 * [taylor]: Taking taylor expansion of 2.0 in k 2.803 * [taylor]: Taking taylor expansion of (* (pow NAN 2) PI) in k 2.803 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 2.803 * [taylor]: Taking taylor expansion of NAN in k 2.803 * [taylor]: Taking taylor expansion of PI in k 2.805 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) (+ (* 1.0 (pow NAN 2)) (* 1.0 (/ (pow NAN 2) k)))) in k 2.805 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) in k 2.805 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI))))) in k 2.805 * [taylor]: Taking taylor expansion of 0.5 in k 2.805 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))) in k 2.805 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.805 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.805 * [taylor]: Taking taylor expansion of k in k 2.805 * [taylor]: Taking taylor expansion of 1.0 in k 2.805 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (pow NAN 2) PI))) in k 2.805 * [taylor]: Taking taylor expansion of (* 2.0 (* (pow NAN 2) PI)) in k 2.805 * [taylor]: Taking taylor expansion of 2.0 in k 2.805 * [taylor]: Taking taylor expansion of (* (pow NAN 2) PI) in k 2.805 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 2.805 * [taylor]: Taking taylor expansion of NAN in k 2.805 * [taylor]: Taking taylor expansion of PI in k 2.806 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow NAN 2)) (* 1.0 (/ (pow NAN 2) k))) in k 2.806 * [taylor]: Taking taylor expansion of (* 1.0 (pow NAN 2)) in k 2.806 * [taylor]: Taking taylor expansion of 1.0 in k 2.806 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 2.806 * [taylor]: Taking taylor expansion of NAN in k 2.806 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow NAN 2) k)) in k 2.806 * [taylor]: Taking taylor expansion of 1.0 in k 2.806 * [taylor]: Taking taylor expansion of (/ (pow NAN 2) k) in k 2.806 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 2.806 * [taylor]: Taking taylor expansion of NAN in k 2.806 * [taylor]: Taking taylor expansion of k in k 2.810 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) (- (+ (* 0.5 (/ (pow NAN 4) (pow k 2))) (+ (* 2.5 (/ (pow NAN 4) k)) (* 2.0 (pow NAN 4)))) (+ (* 4.0 (/ (pow NAN 4) (pow 2.0 2))) (* 4.0 (/ (pow NAN 4) (* k (pow 2.0 2))))))) in k 2.810 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) in k 2.810 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI))))) in k 2.810 * [taylor]: Taking taylor expansion of 0.5 in k 2.810 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))) in k 2.810 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.810 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.810 * [taylor]: Taking taylor expansion of k in k 2.810 * [taylor]: Taking taylor expansion of 1.0 in k 2.810 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (pow NAN 2) PI))) in k 2.810 * [taylor]: Taking taylor expansion of (* 2.0 (* (pow NAN 2) PI)) in k 2.810 * [taylor]: Taking taylor expansion of 2.0 in k 2.810 * [taylor]: Taking taylor expansion of (* (pow NAN 2) PI) in k 2.810 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 2.810 * [taylor]: Taking taylor expansion of NAN in k 2.810 * [taylor]: Taking taylor expansion of PI in k 2.811 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (/ (pow NAN 4) (pow k 2))) (+ (* 2.5 (/ (pow NAN 4) k)) (* 2.0 (pow NAN 4)))) (+ (* 4.0 (/ (pow NAN 4) (pow 2.0 2))) (* 4.0 (/ (pow NAN 4) (* k (pow 2.0 2)))))) in k 2.811 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (pow NAN 4) (pow k 2))) (+ (* 2.5 (/ (pow NAN 4) k)) (* 2.0 (pow NAN 4)))) in k 2.811 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow NAN 4) (pow k 2))) in k 2.811 * [taylor]: Taking taylor expansion of 0.5 in k 2.811 * [taylor]: Taking taylor expansion of (/ (pow NAN 4) (pow k 2)) in k 2.811 * [taylor]: Taking taylor expansion of (pow NAN 4) in k 2.811 * [taylor]: Taking taylor expansion of NAN in k 2.811 * [taylor]: Taking taylor expansion of (pow k 2) in k 2.811 * [taylor]: Taking taylor expansion of k in k 2.811 * [taylor]: Taking taylor expansion of (+ (* 2.5 (/ (pow NAN 4) k)) (* 2.0 (pow NAN 4))) in k 2.811 * [taylor]: Taking taylor expansion of (* 2.5 (/ (pow NAN 4) k)) in k 2.811 * [taylor]: Taking taylor expansion of 2.5 in k 2.811 * [taylor]: Taking taylor expansion of (/ (pow NAN 4) k) in k 2.811 * [taylor]: Taking taylor expansion of (pow NAN 4) in k 2.811 * [taylor]: Taking taylor expansion of NAN in k 2.811 * [taylor]: Taking taylor expansion of k in k 2.811 * [taylor]: Taking taylor expansion of (* 2.0 (pow NAN 4)) in k 2.811 * [taylor]: Taking taylor expansion of 2.0 in k 2.811 * [taylor]: Taking taylor expansion of (pow NAN 4) in k 2.811 * [taylor]: Taking taylor expansion of NAN in k 2.811 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (pow NAN 4) (pow 2.0 2))) (* 4.0 (/ (pow NAN 4) (* k (pow 2.0 2))))) in k 2.811 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow NAN 4) (pow 2.0 2))) in k 2.811 * [taylor]: Taking taylor expansion of 4.0 in k 2.811 * [taylor]: Taking taylor expansion of (/ (pow NAN 4) (pow 2.0 2)) in k 2.811 * [taylor]: Taking taylor expansion of (pow NAN 4) in k 2.811 * [taylor]: Taking taylor expansion of NAN in k 2.812 * [taylor]: Taking taylor expansion of (pow 2.0 2) in k 2.812 * [taylor]: Taking taylor expansion of 2.0 in k 2.812 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow NAN 4) (* k (pow 2.0 2)))) in k 2.812 * [taylor]: Taking taylor expansion of 4.0 in k 2.812 * [taylor]: Taking taylor expansion of (/ (pow NAN 4) (* k (pow 2.0 2))) in k 2.812 * [taylor]: Taking taylor expansion of (pow NAN 4) in k 2.812 * [taylor]: Taking taylor expansion of NAN in k 2.812 * [taylor]: Taking taylor expansion of (* k (pow 2.0 2)) in k 2.812 * [taylor]: Taking taylor expansion of k in k 2.812 * [taylor]: Taking taylor expansion of (pow 2.0 2) in k 2.812 * [taylor]: Taking taylor expansion of 2.0 in k 2.816 * * * [progress]: simplifying candidates 2.818 * [simplify]: Simplifying using # : (* (* PI (sqrt n)) (sqrt n)) (* (* PI (sqrt n)) (sqrt n)) (+ (+ (log PI) (log (sqrt n))) (log (sqrt n))) (+ (log (* PI (sqrt n))) (log (sqrt n))) (log (* (* PI (sqrt n)) (sqrt n))) (exp (* (* PI (sqrt n)) (sqrt n))) (* (* (* (* PI PI) PI) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* PI (sqrt n)) (* PI (sqrt n))) (* PI (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* PI (sqrt n)) (sqrt n))) (cbrt (* (* PI (sqrt n)) (sqrt n)))) (cbrt (* (* PI (sqrt n)) (sqrt n))) (* (* (* (* PI (sqrt n)) (sqrt n)) (* (* PI (sqrt n)) (sqrt n))) (* (* PI (sqrt n)) (sqrt n))) (sqrt (* (* PI (sqrt n)) (sqrt n))) (sqrt (* (* PI (sqrt n)) (sqrt n))) (* (* PI (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* PI (sqrt n)) (sqrt (* (cbrt n) (cbrt n)))) (* (* PI (sqrt n)) (sqrt (sqrt n))) (* (* PI (sqrt n)) (sqrt 1)) (* (* PI (sqrt n)) (sqrt (sqrt n))) (* (* PI (sqrt n)) 1) (* (sqrt n) (sqrt n)) (* PI (sqrt n)) (+ (log PI) (log (sqrt n))) (log (* PI (sqrt n))) (exp (* PI (sqrt n))) (* (* (* PI PI) PI) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* PI (sqrt n))) (cbrt (* PI (sqrt n)))) (cbrt (* PI (sqrt n))) (* (* (* PI (sqrt n)) (* PI (sqrt n))) (* PI (sqrt n))) (sqrt (* PI (sqrt n))) (sqrt (* PI (sqrt n))) (* (sqrt PI) (sqrt (sqrt n))) (* (sqrt PI) (sqrt (sqrt n))) (* (sqrt PI) (sqrt (sqrt n))) (* (sqrt PI) (sqrt (sqrt n))) (* PI (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* PI (sqrt (* (cbrt n) (cbrt n)))) (* PI (sqrt (sqrt n))) (* PI (sqrt 1)) (* PI (sqrt (sqrt n))) (* PI 1) (* (cbrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (sqrt n)) (- (* (+ (log 2.0) (+ (+ (log PI) (log (sqrt n))) (log (sqrt n)))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (+ (log 2.0) (+ (log (* PI (sqrt n))) (log (sqrt n)))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (+ (log 2.0) (log (* (* PI (sqrt n)) (sqrt n)))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (log (* 2.0 (* (* PI (sqrt n)) (sqrt n)))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (log (* 2.0 (* (* PI (sqrt n)) (sqrt n)))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (log (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (log (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt k))) (exp (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt k))) (/ (* (* (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt k))) (cbrt (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt k)))) (cbrt (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (* (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt k))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt k))) (neg (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (neg (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* PI (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* (* PI (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt 1)) (/ (pow (* (* PI (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* (* PI (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) 1) (/ (pow (* (* PI (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (* (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)))) (sqrt 1)) (/ (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)))) 1) (/ (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt 1)) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) 1) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1 1) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (sqrt k))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (cbrt k))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt 1)) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (/ (- 1.0 k) 2.0) 2)) 1) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt 1)) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) 1) (/ (sqrt k) (pow (* (* PI (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt k) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ k 2.0))) (* (+ (log 2.0) (+ (+ (log PI) (log (sqrt n))) (log (sqrt n)))) (/ (- 1.0 k) 2.0)) (* (+ (log 2.0) (+ (log (* PI (sqrt n))) (log (sqrt n)))) (/ (- 1.0 k) 2.0)) (* (+ (log 2.0) (log (* (* PI (sqrt n)) (sqrt n)))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* (* PI (sqrt n)) (sqrt n)))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* (* PI (sqrt n)) (sqrt n)))) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 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 (sqrt n)) (sqrt n))) (/ 1.0 2.0)) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ k 2.0)) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1 (sqrt 2.0))) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1 1)) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1 (sqrt 2.0))) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1 1)) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) 1) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* (* PI (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (/ (- 1.0 k) 2.0) 2)) (* n PI) (* n PI) (- (+ (* (pow NAN 2) PI) (* 3 (/ (* (pow NAN 6) PI) (pow n 2)))) (* 2 (/ (* (pow NAN 4) PI) n))) (+ (* (pow NAN 3) (* (pow n 2) PI)) (+ (* NAN (* n PI)) (* (pow NAN 5) (* (pow n 3) PI)))) (+ (/ (* (pow NAN 5) PI) (pow n 2)) (+ (/ (* (pow NAN 3) PI) n) (* NAN PI))) (- (+ (/ (* (pow NAN 5) PI) (pow n 2)) (* NAN PI)) (/ (* (pow NAN 3) PI) n)) (- (+ (* 0.125 (* (pow k 2) (* NAN (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))) (+ (* k (* (pow NAN 3) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (* NAN (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) (+ (* (pow k 2) (* (pow NAN 5) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (+ (* NAN (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* NAN (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))))) (+ (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow NAN 3) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) (+ (* 0.5 (* k (* NAN (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (* NAN (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2)) (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 3)))) (- (+ (* 1.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 3)) n)) (+ (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) NAN) k) (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) NAN))) (* 1.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) NAN) n))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (- (+ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) (* 1.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 4)) (pow n 2)))) (* 1.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 2)) n))) 2.861 * * [simplify]: iteration 0 : 5586 enodes (cost 2591 ) 2.869 * [simplify]: Simplified to: (* PI n) (* PI n) (log (* PI n)) (log (* PI n)) (log (* PI n)) (pow (exp PI) n) (pow (* PI n) 3) (pow (* PI n) 3) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (pow (* PI n) 3) (sqrt (* PI n)) (sqrt (* PI n)) (* PI (* (sqrt n) (* (cbrt (sqrt n)) (cbrt (sqrt n))))) (* PI (* (sqrt n) (fabs (cbrt n)))) (* PI (* (sqrt n) (sqrt (sqrt n)))) (* PI (sqrt n)) (* PI (* (sqrt n) (sqrt (sqrt n)))) (* PI (sqrt n)) n (* PI (sqrt n)) (log (* PI (sqrt n))) (log (* PI (sqrt n))) (pow (exp PI) (sqrt n)) (pow (* PI (sqrt n)) 3) (* (cbrt (* PI (sqrt n))) (cbrt (* PI (sqrt n)))) (cbrt (* PI (sqrt n))) (pow (* PI (sqrt n)) 3) (sqrt (* PI (sqrt n))) (sqrt (* PI (sqrt n))) (* (sqrt (sqrt n)) (sqrt PI)) (* (sqrt (sqrt n)) (sqrt PI)) (* (sqrt (sqrt n)) (sqrt PI)) (* (sqrt (sqrt n)) (sqrt PI)) (* PI (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* PI (fabs (cbrt n))) (* PI (sqrt (sqrt n))) PI (* PI (sqrt (sqrt n))) PI (* (sqrt n) (cbrt PI)) (* (sqrt n) (sqrt PI)) (* PI (sqrt n)) (log (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt k))) (exp (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt k)) 3) (* (cbrt (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt k))) (cbrt (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt k)))) (cbrt (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt k)) 3) (sqrt (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt k))) (neg (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (neg (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (/ (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (/ (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (fabs (cbrt k)))) (/ (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (* (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (/ (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (/ (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt k)) (* (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (/ (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (/ (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (/ (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* PI (* n 2.0)) (* 1/2 (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2.0)) (* 1/2 (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (pow (* PI (* n 2.0)) (* 1/2 (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (/ (pow (* PI (* n 2.0)) 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2.0))) (/ (sqrt k) (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* PI (* n 2.0)) (* 1/2 (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow (* PI (* n 2.0)) (/ k 2.0))) (* (log (* PI (* n 2.0))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* n 2.0))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* n 2.0))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* n 2.0))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* n 2.0))) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* PI (* n 2.0)) (/ 1.0 2.0)) (pow (* PI (* n 2.0)) (/ k 2.0)) (pow (* PI (* n 2.0)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* PI (* n 2.0)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* PI (* n 2.0)) (* (cbrt (- 1.0 k)) (/ (cbrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))))) (pow (* PI (* n 2.0)) (* (cbrt (- 1.0 k)) (/ (cbrt (- 1.0 k)) (sqrt 2.0)))) (pow (* PI (* n 2.0)) (* (cbrt (- 1.0 k)) (cbrt (- 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PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (pow (* PI (* n 2.0)) (* 1/2 (/ (- 1.0 k) 2.0))) (pow (* PI (* n 2.0)) (* 1/2 (/ (- 1.0 k) 2.0))) (* PI n) (* PI n) (+ (* PI (* NAN NAN)) (+ (* 3 (* PI (/ (pow NAN 6) (* n n)))) (* (* PI (/ (pow NAN 4) n)) -2))) (+ (* PI (* (* n n) (pow NAN 3))) (* PI (+ (* n NAN) (* (pow NAN 5) (pow n 3))))) (+ (* PI (/ (pow NAN 5) (* n n))) (+ (* PI (/ (pow NAN 3) n)) (* PI NAN))) (+ (* PI (/ (pow NAN 5) (* n n))) (- (* PI NAN) (* PI (/ (pow NAN 3) n)))) (+ (* 0.125 (* k (* k (* NAN (* (pow (* PI (* n 2.0)) 0.5) (pow (log n) 2)))))) (+ (* k (* (pow NAN 3) (pow (* PI (* n 2.0)) 0.5))) (- (+ (* 0.125 (* k (* k (* NAN (* (pow (* PI (* n 2.0)) 0.5) (pow (log (* PI 2.0)) 2)))))) (+ (* (* k k) (* (* NAN (* (log (* PI 2.0)) (* (log n) (pow (* PI (* n 2.0)) 0.5)))) 0.25)) (* (pow (* PI (* n 2.0)) 0.5) (+ (* k (* k (pow NAN 5))) NAN)))) (+ (* (* k k) (* (* (pow NAN 3) (* (log (* PI 2.0)) (pow (* PI (* n 2.0)) 0.5))) 0.5)) (+ (* (* k k) (* (* (pow NAN 3) (* (log n) (pow (* PI (* n 2.0)) 0.5))) 0.5)) (* (* k 0.5) (+ (* NAN (* (log n) (pow (* PI (* n 2.0)) 0.5))) (* NAN (* (log (* PI 2.0)) (pow (* PI (* n 2.0)) 0.5)))))))))) (+ (* NAN (/ (pow (* PI (* n 2.0)) (* (- 1.0 k) 0.5)) k)) (+ (* (pow NAN 3) (/ (pow (* PI (* n 2.0)) (* (- 1.0 k) 0.5)) (* k k))) (* (pow NAN 5) (/ (pow (* PI (* n 2.0)) (* (- 1.0 k) 0.5)) (pow k 3))))) (+ (* 1.0 (* (pow NAN 3) (/ (pow (* PI (* 2.0 (* NAN NAN))) (* (- 1.0 k) 0.5)) n))) (+ (* NAN (/ (pow (* PI (* 2.0 (* NAN NAN))) (* (- 1.0 k) 0.5)) k)) (- (/ (pow (* PI (* 2.0 (* NAN NAN))) (* (- 1.0 k) 0.5)) NAN) (* 1.0 (* NAN (/ (pow (* PI (* 2.0 (* NAN NAN))) (* (- 1.0 k) 0.5)) n)))))) (+ (* (* 0.125 (* k k)) (+ (* (pow (* PI (* n 2.0)) 0.5) (pow (log (* PI 2.0)) 2)) (* (pow (* PI (* n 2.0)) 0.5) (pow (log n) 2)))) (- (+ (pow (* PI (* n 2.0)) 0.5) (* (* k k) (* (* (log (* PI 2.0)) (* (log n) (pow (* PI (* n 2.0)) 0.5))) 0.25))) (* 0.5 (* k (+ (* (log (* PI 2.0)) (pow (* PI (* n 2.0)) 0.5)) (* (log n) (pow (* PI (* n 2.0)) 0.5))))))) (pow (* PI (* n 2.0)) (* (- 1.0 k) 0.5)) (+ (pow (* PI (* 2.0 (* NAN NAN))) (* (- 1.0 k) 0.5)) (* 1.0 (- (* (pow NAN 4) (/ (pow (* PI (* 2.0 (* NAN NAN))) (* (- 1.0 k) 0.5)) (* n n))) (* (* NAN NAN) (/ (pow (* PI (* 2.0 (* NAN NAN))) (* (- 1.0 k) 0.5)) n))))) 2.870 * * * [progress]: adding candidates to table 3.100 * [progress]: [Phase 3 of 3] Extracting. 3.101 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 3.104 * * * [regime-changes]: Trying 2 branch expressions: (n k) 3.104 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # # #) 3.182 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # # #) 3.261 * * * [regime]: Found split indices: #