15.476 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.500 * * * [progress]: [2/2] Setting up program. 0.504 * [progress]: [Phase 2 of 3] Improving. 0.504 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.546 * * [simplify]: iteration 0 : 4987 enodes (cost 16 ) 0.546 * * [simplify]: iteration 1 : 4987 enodes (cost 16 ) 0.547 * [simplify]: Simplified to: (* 1.0 (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) 0.551 * * [progress]: iteration 1 / 4 0.552 * * * [progress]: picking best candidate 0.558 * * * * [pick]: Picked # 0.558 * * * [progress]: localizing error 0.572 * * * [progress]: generating rewritten candidates 0.573 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.582 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1 2) 0.585 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.598 * * * [progress]: generating series expansions 0.598 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.599 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.599 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.599 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.599 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.599 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.599 * [taylor]: Taking taylor expansion of 0.5 in k 0.599 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.599 * [taylor]: Taking taylor expansion of 1.0 in k 0.599 * [taylor]: Taking taylor expansion of k in k 0.599 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.599 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.599 * [taylor]: Taking taylor expansion of 2.0 in k 0.599 * [taylor]: Taking taylor expansion of (* n PI) in k 0.599 * [taylor]: Taking taylor expansion of n in k 0.599 * [taylor]: Taking taylor expansion of PI in k 0.599 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.599 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.599 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.599 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.599 * [taylor]: Taking taylor expansion of 0.5 in n 0.599 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.599 * [taylor]: Taking taylor expansion of 1.0 in n 0.599 * [taylor]: Taking taylor expansion of k in n 0.599 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.599 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.599 * [taylor]: Taking taylor expansion of 2.0 in n 0.599 * [taylor]: Taking taylor expansion of (* n PI) in n 0.599 * [taylor]: Taking taylor expansion of n in n 0.599 * [taylor]: Taking taylor expansion of PI in n 0.600 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.600 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.600 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.600 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.600 * [taylor]: Taking taylor expansion of 0.5 in n 0.600 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.600 * [taylor]: Taking taylor expansion of 1.0 in n 0.600 * [taylor]: Taking taylor expansion of k in n 0.600 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.600 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.600 * [taylor]: Taking taylor expansion of 2.0 in n 0.600 * [taylor]: Taking taylor expansion of (* n PI) in n 0.600 * [taylor]: Taking taylor expansion of n in n 0.600 * [taylor]: Taking taylor expansion of PI in n 0.600 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.600 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.600 * [taylor]: Taking taylor expansion of 0.5 in k 0.600 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.600 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.600 * [taylor]: Taking taylor expansion of 1.0 in k 0.600 * [taylor]: Taking taylor expansion of k in k 0.600 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.600 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.600 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.600 * [taylor]: Taking taylor expansion of 2.0 in k 0.600 * [taylor]: Taking taylor expansion of PI in k 0.600 * [taylor]: Taking taylor expansion of (log n) in k 0.600 * [taylor]: Taking taylor expansion of n in k 0.601 * [taylor]: Taking taylor expansion of 0 in k 0.603 * [taylor]: Taking taylor expansion of 0 in k 0.605 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.605 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.605 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.605 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.605 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.605 * [taylor]: Taking taylor expansion of 0.5 in k 0.605 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.605 * [taylor]: Taking taylor expansion of 1.0 in k 0.605 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.605 * [taylor]: Taking taylor expansion of k in k 0.605 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.605 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.605 * [taylor]: Taking taylor expansion of 2.0 in k 0.605 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.605 * [taylor]: Taking taylor expansion of PI in k 0.605 * [taylor]: Taking taylor expansion of n in k 0.606 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.606 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.606 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.606 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.606 * [taylor]: Taking taylor expansion of 0.5 in n 0.606 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.606 * [taylor]: Taking taylor expansion of 1.0 in n 0.606 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.606 * [taylor]: Taking taylor expansion of k in n 0.606 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.606 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.606 * [taylor]: Taking taylor expansion of 2.0 in n 0.606 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.606 * [taylor]: Taking taylor expansion of PI in n 0.606 * [taylor]: Taking taylor expansion of n in n 0.606 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.606 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.606 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.606 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.606 * [taylor]: Taking taylor expansion of 0.5 in n 0.606 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.606 * [taylor]: Taking taylor expansion of 1.0 in n 0.606 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.606 * [taylor]: Taking taylor expansion of k in n 0.606 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.606 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.606 * [taylor]: Taking taylor expansion of 2.0 in n 0.606 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.607 * [taylor]: Taking taylor expansion of PI in n 0.607 * [taylor]: Taking taylor expansion of n in n 0.607 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.607 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.607 * [taylor]: Taking taylor expansion of 0.5 in k 0.607 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.607 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.607 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.607 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.607 * [taylor]: Taking taylor expansion of 2.0 in k 0.607 * [taylor]: Taking taylor expansion of PI in k 0.607 * [taylor]: Taking taylor expansion of (log n) in k 0.607 * [taylor]: Taking taylor expansion of n in k 0.607 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.607 * [taylor]: Taking taylor expansion of 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 0.608 * [taylor]: Taking taylor expansion of 0 in k 0.609 * [taylor]: Taking taylor expansion of 0 in k 0.610 * [taylor]: Taking taylor expansion of 0 in k 0.610 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.610 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.610 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.610 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.610 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.610 * [taylor]: Taking taylor expansion of 0.5 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 0.611 * [taylor]: Taking taylor expansion of 1.0 in k 0.611 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.611 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.611 * [taylor]: Taking taylor expansion of -2.0 in k 0.611 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.611 * [taylor]: Taking taylor expansion of PI in k 0.611 * [taylor]: Taking taylor expansion of n in k 0.611 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.611 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.611 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.611 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.611 * [taylor]: Taking taylor expansion of 0.5 in n 0.611 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.611 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.611 * [taylor]: Taking taylor expansion of k in n 0.611 * [taylor]: Taking taylor expansion of 1.0 in n 0.611 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.611 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.611 * [taylor]: Taking taylor expansion of -2.0 in n 0.611 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.611 * [taylor]: Taking taylor expansion of PI in n 0.611 * [taylor]: Taking taylor expansion of n in n 0.611 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.611 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.611 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.611 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.611 * [taylor]: Taking taylor expansion of 0.5 in n 0.611 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.612 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.612 * [taylor]: Taking taylor expansion of k in n 0.612 * [taylor]: Taking taylor expansion of 1.0 in n 0.612 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.612 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.612 * [taylor]: Taking taylor expansion of -2.0 in n 0.612 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.612 * [taylor]: Taking taylor expansion of PI in n 0.612 * [taylor]: Taking taylor expansion of n in n 0.612 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.612 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.612 * [taylor]: Taking taylor expansion of 0.5 in k 0.612 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.612 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.612 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.612 * [taylor]: Taking taylor expansion of k in k 0.612 * [taylor]: Taking taylor expansion of 1.0 in k 0.612 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.612 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.612 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.612 * [taylor]: Taking taylor expansion of -2.0 in k 0.612 * [taylor]: Taking taylor expansion of PI in k 0.612 * [taylor]: Taking taylor expansion of (log n) in k 0.612 * [taylor]: Taking taylor expansion of n in k 0.613 * [taylor]: Taking taylor expansion of 0 in k 0.614 * [taylor]: Taking taylor expansion of 0 in k 0.615 * [taylor]: Taking taylor expansion of 0 in k 0.615 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1 2) 0.615 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 0.615 * [taylor]: Taking taylor expansion of (* n PI) in n 0.615 * [taylor]: Taking taylor expansion of n in n 0.615 * [taylor]: Taking taylor expansion of PI in n 0.615 * [taylor]: Taking taylor expansion of (* n PI) in n 0.615 * [taylor]: Taking taylor expansion of n in n 0.615 * [taylor]: Taking taylor expansion of PI in n 0.616 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 0.616 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.616 * [taylor]: Taking taylor expansion of PI in n 0.616 * [taylor]: Taking taylor expansion of n in n 0.616 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.616 * [taylor]: Taking taylor expansion of PI in n 0.616 * [taylor]: Taking taylor expansion of n in n 0.616 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 0.616 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.616 * [taylor]: Taking taylor expansion of -1 in n 0.616 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.616 * [taylor]: Taking taylor expansion of PI in n 0.616 * [taylor]: Taking taylor expansion of n in n 0.616 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.616 * [taylor]: Taking taylor expansion of -1 in n 0.616 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.616 * [taylor]: Taking taylor expansion of PI in n 0.617 * [taylor]: Taking taylor expansion of n in n 0.617 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.617 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in (n k) around 0 0.618 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 0.618 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.618 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.618 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.618 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.618 * [taylor]: Taking taylor expansion of 0.5 in k 0.618 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.618 * [taylor]: Taking taylor expansion of 1.0 in k 0.618 * [taylor]: Taking taylor expansion of k in k 0.618 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.618 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.618 * [taylor]: Taking taylor expansion of 2.0 in k 0.618 * [taylor]: Taking taylor expansion of (* n PI) in k 0.618 * [taylor]: Taking taylor expansion of n in k 0.618 * [taylor]: Taking taylor expansion of PI in k 0.618 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.618 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.618 * [taylor]: Taking taylor expansion of k in k 0.618 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 0.618 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.618 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.618 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.618 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.618 * [taylor]: Taking taylor expansion of 0.5 in n 0.618 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.618 * [taylor]: Taking taylor expansion of 1.0 in n 0.618 * [taylor]: Taking taylor expansion of k in n 0.618 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.618 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.618 * [taylor]: Taking taylor expansion of 2.0 in n 0.618 * [taylor]: Taking taylor expansion of (* n PI) in n 0.618 * [taylor]: Taking taylor expansion of n in n 0.618 * [taylor]: Taking taylor expansion of PI in n 0.619 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.619 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.619 * [taylor]: Taking taylor expansion of k in n 0.619 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 0.619 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.619 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.619 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.619 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.619 * [taylor]: Taking taylor expansion of 0.5 in n 0.619 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.619 * [taylor]: Taking taylor expansion of 1.0 in n 0.619 * [taylor]: Taking taylor expansion of k in n 0.619 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.619 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.619 * [taylor]: Taking taylor expansion of 2.0 in n 0.619 * [taylor]: Taking taylor expansion of (* n PI) in n 0.619 * [taylor]: Taking taylor expansion of n in n 0.619 * [taylor]: Taking taylor expansion of PI in n 0.619 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.619 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.619 * [taylor]: Taking taylor expansion of k in n 0.620 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 0.620 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.620 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.620 * [taylor]: Taking taylor expansion of k in k 0.620 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.620 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.620 * [taylor]: Taking taylor expansion of 0.5 in k 0.620 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.620 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.620 * [taylor]: Taking taylor expansion of 1.0 in k 0.620 * [taylor]: Taking taylor expansion of k in k 0.620 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.620 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.620 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.620 * [taylor]: Taking taylor expansion of 2.0 in k 0.620 * [taylor]: Taking taylor expansion of PI in k 0.620 * [taylor]: Taking taylor expansion of (log n) in k 0.620 * [taylor]: Taking taylor expansion of n in k 0.621 * [taylor]: Taking taylor expansion of 0 in k 0.623 * [taylor]: Taking taylor expansion of 0 in k 0.626 * [taylor]: Taking taylor expansion of 0 in k 0.632 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in (n k) around 0 0.633 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.633 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.633 * [taylor]: Taking taylor expansion of k in k 0.633 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.633 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.633 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.633 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.633 * [taylor]: Taking taylor expansion of 0.5 in k 0.633 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.633 * [taylor]: Taking taylor expansion of 1.0 in k 0.633 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.633 * [taylor]: Taking taylor expansion of k in k 0.633 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.633 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.633 * [taylor]: Taking taylor expansion of 2.0 in k 0.633 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.633 * [taylor]: Taking taylor expansion of PI in k 0.633 * [taylor]: Taking taylor expansion of n in k 0.633 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.633 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.633 * [taylor]: Taking taylor expansion of k in n 0.633 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.633 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.633 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.633 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.633 * [taylor]: Taking taylor expansion of 0.5 in n 0.633 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.633 * [taylor]: Taking taylor expansion of 1.0 in n 0.633 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.633 * [taylor]: Taking taylor expansion of k in n 0.633 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.633 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.633 * [taylor]: Taking taylor expansion of 2.0 in n 0.633 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.633 * [taylor]: Taking taylor expansion of PI in n 0.633 * [taylor]: Taking taylor expansion of n in n 0.634 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.634 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.634 * [taylor]: Taking taylor expansion of k in n 0.634 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.634 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.634 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.634 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.634 * [taylor]: Taking taylor expansion of 0.5 in n 0.634 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.634 * [taylor]: Taking taylor expansion of 1.0 in n 0.634 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.634 * [taylor]: Taking taylor expansion of k in n 0.634 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.634 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.634 * [taylor]: Taking taylor expansion of 2.0 in n 0.634 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.634 * [taylor]: Taking taylor expansion of PI in n 0.634 * [taylor]: Taking taylor expansion of n in n 0.635 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 0.635 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.635 * [taylor]: Taking taylor expansion of k in k 0.635 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.635 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.635 * [taylor]: Taking taylor expansion of 0.5 in k 0.635 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.635 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.635 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.635 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.635 * [taylor]: Taking taylor expansion of 2.0 in k 0.635 * [taylor]: Taking taylor expansion of PI in k 0.635 * [taylor]: Taking taylor expansion of (log n) in k 0.635 * [taylor]: Taking taylor expansion of n in k 0.635 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.635 * [taylor]: Taking taylor expansion of 1.0 in k 0.635 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.635 * [taylor]: Taking taylor expansion of k in k 0.636 * [taylor]: Taking taylor expansion of 0 in k 0.637 * [taylor]: Taking taylor expansion of 0 in k 0.639 * [taylor]: Taking taylor expansion of 0 in k 0.640 * [approximate]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (n k) around 0 0.640 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.640 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.640 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.640 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.640 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.640 * [taylor]: Taking taylor expansion of 0.5 in k 0.640 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.640 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.640 * [taylor]: Taking taylor expansion of k in k 0.640 * [taylor]: Taking taylor expansion of 1.0 in k 0.640 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.640 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.640 * [taylor]: Taking taylor expansion of -2.0 in k 0.640 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.640 * [taylor]: Taking taylor expansion of PI in k 0.640 * [taylor]: Taking taylor expansion of n in k 0.641 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.641 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.641 * [taylor]: Taking taylor expansion of -1 in k 0.641 * [taylor]: Taking taylor expansion of k in k 0.641 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.641 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.641 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.641 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.641 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.641 * [taylor]: Taking taylor expansion of 0.5 in n 0.641 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.641 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.641 * [taylor]: Taking taylor expansion of k in n 0.641 * [taylor]: Taking taylor expansion of 1.0 in n 0.641 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.641 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.641 * [taylor]: Taking taylor expansion of -2.0 in n 0.641 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.641 * [taylor]: Taking taylor expansion of PI in n 0.641 * [taylor]: Taking taylor expansion of n in n 0.641 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.641 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.641 * [taylor]: Taking taylor expansion of -1 in n 0.641 * [taylor]: Taking taylor expansion of k in n 0.642 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.642 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.642 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.642 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.642 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.642 * [taylor]: Taking taylor expansion of 0.5 in n 0.642 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.642 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.642 * [taylor]: Taking taylor expansion of k in n 0.642 * [taylor]: Taking taylor expansion of 1.0 in n 0.642 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.642 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.642 * [taylor]: Taking taylor expansion of -2.0 in n 0.642 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.642 * [taylor]: Taking taylor expansion of PI in n 0.642 * [taylor]: Taking taylor expansion of n in n 0.642 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.642 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.642 * [taylor]: Taking taylor expansion of -1 in n 0.642 * [taylor]: Taking taylor expansion of k in n 0.643 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k 0.643 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.643 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.643 * [taylor]: Taking taylor expansion of 0.5 in k 0.643 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.643 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.643 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.643 * [taylor]: Taking taylor expansion of k in k 0.643 * [taylor]: Taking taylor expansion of 1.0 in k 0.643 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.643 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.643 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.643 * [taylor]: Taking taylor expansion of -2.0 in k 0.643 * [taylor]: Taking taylor expansion of PI in k 0.643 * [taylor]: Taking taylor expansion of (log n) in k 0.643 * [taylor]: Taking taylor expansion of n in k 0.643 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.643 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.643 * [taylor]: Taking taylor expansion of -1 in k 0.643 * [taylor]: Taking taylor expansion of k in k 0.644 * [taylor]: Taking taylor expansion of 0 in k 0.646 * [taylor]: Taking taylor expansion of 0 in k 0.648 * [taylor]: Taking taylor expansion of 0 in k 0.648 * * * [progress]: simplifying candidates 0.650 * [simplify]: Simplifying using # : (* (+ (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)) (* 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))) (- (+ (* 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)))))) (* 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)) 0.689 * * [simplify]: iteration 0 : 5008 enodes (cost 2183 ) 0.696 * [simplify]: Simplified to: (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)) (pow (* 2.0 (* PI n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 (* PI n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (cbrt (- 1.0 k)))) (pow (* 2.0 (* PI n)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (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))) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (* 2.0 (* PI n)) (pow (* 2.0 (* PI n)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (pow (* 2.0 (* PI n)) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (exp (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (pow (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (* 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 (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (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 (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) 3) (* (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 (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) 3) (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)) (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 (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (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 (sqrt k))) (* (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (fabs (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 (cbrt 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 (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 (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (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 (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 (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))) (fabs (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 (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))) (/ (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 (fabs (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 (/ (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 (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (cbrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (fabs (cbrt k))) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (cbrt k))) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (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)) (fabs (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)) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ (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) 1/2))) (* (pow (* 2.0 (* PI n)) (/ k 2.0)) (sqrt k)) (+ (* 0.125 (* (* k k) (* (pow (* 2.0 (* PI n)) 0.5) (+ (pow (log (* 2.0 PI)) 2) (pow (log n) 2))))) (- (+ (pow (* 2.0 (* PI n)) 0.5) (* (* k k) (* (* (log n) (* (log (* 2.0 PI)) (pow (* 2.0 (* PI n)) 0.5))) 0.25))) (* 0.5 (* k (* (pow (* 2.0 (* PI n)) 0.5) (log (* 2.0 (* PI n)))))))) (pow (* 2.0 (* PI n)) (* (- 1.0 k) 0.5)) (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))) (* PI n) (* PI n) (* PI n) (+ (* 0.125 (* k (* k (* (pow (* 2.0 (* PI n)) 0.5) (* NAN (pow (log n) 2)))))) (+ (* k (* (pow (* 2.0 (* PI n)) 0.5) (pow NAN 3))) (- (+ (* (pow (* 2.0 (* PI n)) 0.5) (+ (* k (* k (pow NAN 5))) NAN)) (* (* k k) (+ (* (* (log (* 2.0 PI)) (* (log n) (* (pow (* 2.0 (* PI n)) 0.5) NAN))) 0.25) (* (* (pow (log (* 2.0 PI)) 2) (* (pow (* 2.0 (* PI n)) 0.5) NAN)) 0.125)))) (+ (* 0.5 (* k (* NAN (* (pow (* 2.0 (* PI n)) 0.5) (log (* 2.0 (* PI n))))))) (* (* (* (* k k) 0.5) (* (pow (* 2.0 (* PI n)) 0.5) (pow NAN 3))) (log (* 2.0 (* PI n)))))))) (+ (* (/ (pow (* 2.0 (* PI n)) (* (- 1.0 k) 0.5)) k) NAN) (* (/ (pow (* 2.0 (* PI n)) (* (- 1.0 k) 0.5)) (* k k)) (+ (pow NAN 3) (/ (pow NAN 5) k)))) (+ (/ (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))) NAN) (* (/ NAN k) (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))))) 0.697 * * * [progress]: adding candidates to table 0.974 * * [progress]: iteration 2 / 4 0.974 * * * [progress]: picking best candidate 1.013 * * * * [pick]: Picked # 1.013 * * * [progress]: localizing error 1.032 * * * [progress]: generating rewritten candidates 1.032 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.039 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.045 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 2) 1.049 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2) 1.055 * * * [progress]: generating series expansions 1.055 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.055 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.055 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.055 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.055 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.055 * [taylor]: Taking taylor expansion of 0.5 in n 1.055 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.055 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.055 * [taylor]: Taking taylor expansion of 2.0 in n 1.055 * [taylor]: Taking taylor expansion of (* n PI) in n 1.055 * [taylor]: Taking taylor expansion of n in n 1.055 * [taylor]: Taking taylor expansion of PI in n 1.056 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.056 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.056 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.056 * [taylor]: Taking taylor expansion of 0.5 in n 1.056 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.056 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.056 * [taylor]: Taking taylor expansion of 2.0 in n 1.056 * [taylor]: Taking taylor expansion of (* n PI) in n 1.056 * [taylor]: Taking taylor expansion of n in n 1.056 * [taylor]: Taking taylor expansion of PI in n 1.063 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.063 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.063 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.063 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.063 * [taylor]: Taking taylor expansion of 0.5 in n 1.063 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.063 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.063 * [taylor]: Taking taylor expansion of 2.0 in n 1.063 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.063 * [taylor]: Taking taylor expansion of PI in n 1.063 * [taylor]: Taking taylor expansion of n in n 1.064 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.064 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.064 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.064 * [taylor]: Taking taylor expansion of 0.5 in n 1.064 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.064 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.064 * [taylor]: Taking taylor expansion of 2.0 in n 1.064 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.064 * [taylor]: Taking taylor expansion of PI in n 1.064 * [taylor]: Taking taylor expansion of n in n 1.073 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.073 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.073 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.073 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.073 * [taylor]: Taking taylor expansion of 0.5 in n 1.073 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.073 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.073 * [taylor]: Taking taylor expansion of -2.0 in n 1.073 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.073 * [taylor]: Taking taylor expansion of PI in n 1.073 * [taylor]: Taking taylor expansion of n in n 1.074 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.074 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.074 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.074 * [taylor]: Taking taylor expansion of 0.5 in n 1.074 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.074 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.074 * [taylor]: Taking taylor expansion of -2.0 in n 1.074 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.074 * [taylor]: Taking taylor expansion of PI in n 1.074 * [taylor]: Taking taylor expansion of n in n 1.081 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.081 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in (n k) around 0 1.081 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.081 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.081 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.081 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.081 * [taylor]: Taking taylor expansion of 0.5 in k 1.081 * [taylor]: Taking taylor expansion of k in k 1.081 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.081 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.081 * [taylor]: Taking taylor expansion of 2.0 in k 1.081 * [taylor]: Taking taylor expansion of (* n PI) in k 1.081 * [taylor]: Taking taylor expansion of n in k 1.081 * [taylor]: Taking taylor expansion of PI in k 1.082 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.082 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.082 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.082 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.082 * [taylor]: Taking taylor expansion of 0.5 in n 1.082 * [taylor]: Taking taylor expansion of k in n 1.082 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.082 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.082 * [taylor]: Taking taylor expansion of 2.0 in n 1.082 * [taylor]: Taking taylor expansion of (* n PI) in n 1.082 * [taylor]: Taking taylor expansion of n in n 1.082 * [taylor]: Taking taylor expansion of PI in n 1.082 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.082 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.082 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.082 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.082 * [taylor]: Taking taylor expansion of 0.5 in n 1.082 * [taylor]: Taking taylor expansion of k in n 1.082 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.082 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.082 * [taylor]: Taking taylor expansion of 2.0 in n 1.082 * [taylor]: Taking taylor expansion of (* n PI) in n 1.082 * [taylor]: Taking taylor expansion of n in n 1.082 * [taylor]: Taking taylor expansion of PI in n 1.083 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.083 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.083 * [taylor]: Taking taylor expansion of 0.5 in k 1.083 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.083 * [taylor]: Taking taylor expansion of k in k 1.083 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.083 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.083 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.083 * [taylor]: Taking taylor expansion of 2.0 in k 1.083 * [taylor]: Taking taylor expansion of PI in k 1.083 * [taylor]: Taking taylor expansion of (log n) in k 1.083 * [taylor]: Taking taylor expansion of n in k 1.084 * [taylor]: Taking taylor expansion of 0 in k 1.084 * [taylor]: Taking taylor expansion of 0 in k 1.086 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in (n k) around 0 1.086 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.086 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.086 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.086 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.086 * [taylor]: Taking taylor expansion of 0.5 in k 1.086 * [taylor]: Taking taylor expansion of k in k 1.086 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.086 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.086 * [taylor]: Taking taylor expansion of 2.0 in k 1.086 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.086 * [taylor]: Taking taylor expansion of PI in k 1.086 * [taylor]: Taking taylor expansion of n in k 1.086 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.086 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.086 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.086 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.086 * [taylor]: Taking taylor expansion of 0.5 in n 1.086 * [taylor]: Taking taylor expansion of k in n 1.087 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.087 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.087 * [taylor]: Taking taylor expansion of 2.0 in n 1.087 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.087 * [taylor]: Taking taylor expansion of PI in n 1.087 * [taylor]: Taking taylor expansion of n in n 1.087 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.087 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.087 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.087 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.087 * [taylor]: Taking taylor expansion of 0.5 in n 1.087 * [taylor]: Taking taylor expansion of k in n 1.087 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.087 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.087 * [taylor]: Taking taylor expansion of 2.0 in n 1.087 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.087 * [taylor]: Taking taylor expansion of PI in n 1.087 * [taylor]: Taking taylor expansion of n in n 1.087 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.087 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.087 * [taylor]: Taking taylor expansion of 0.5 in k 1.087 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.087 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.087 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.087 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.087 * [taylor]: Taking taylor expansion of 2.0 in k 1.087 * [taylor]: Taking taylor expansion of PI in k 1.088 * [taylor]: Taking taylor expansion of (log n) in k 1.088 * [taylor]: Taking taylor expansion of n in k 1.088 * [taylor]: Taking taylor expansion of k in k 1.088 * [taylor]: Taking taylor expansion of 0 in k 1.089 * [taylor]: Taking taylor expansion of 0 in k 1.090 * [taylor]: Taking taylor expansion of 0 in k 1.090 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in (n k) around 0 1.090 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.090 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.090 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.090 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.090 * [taylor]: Taking taylor expansion of -0.5 in k 1.090 * [taylor]: Taking taylor expansion of k in k 1.090 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.090 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.090 * [taylor]: Taking taylor expansion of -2.0 in k 1.090 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.090 * [taylor]: Taking taylor expansion of PI in k 1.090 * [taylor]: Taking taylor expansion of n in k 1.090 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.091 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.091 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.091 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.091 * [taylor]: Taking taylor expansion of -0.5 in n 1.091 * [taylor]: Taking taylor expansion of k in n 1.091 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.091 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.091 * [taylor]: Taking taylor expansion of -2.0 in n 1.091 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.091 * [taylor]: Taking taylor expansion of PI in n 1.091 * [taylor]: Taking taylor expansion of n in n 1.091 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.091 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.091 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.091 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.091 * [taylor]: Taking taylor expansion of -0.5 in n 1.091 * [taylor]: Taking taylor expansion of k in n 1.091 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.091 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.091 * [taylor]: Taking taylor expansion of -2.0 in n 1.091 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.091 * [taylor]: Taking taylor expansion of PI in n 1.091 * [taylor]: Taking taylor expansion of n in n 1.091 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.091 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.091 * [taylor]: Taking taylor expansion of -0.5 in k 1.091 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.091 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.091 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.092 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.092 * [taylor]: Taking taylor expansion of -2.0 in k 1.092 * [taylor]: Taking taylor expansion of PI in k 1.092 * [taylor]: Taking taylor expansion of (log n) in k 1.092 * [taylor]: Taking taylor expansion of n in k 1.092 * [taylor]: Taking taylor expansion of k in k 1.092 * [taylor]: Taking taylor expansion of 0 in k 1.093 * [taylor]: Taking taylor expansion of 0 in k 1.094 * [taylor]: Taking taylor expansion of 0 in k 1.094 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 2) 1.094 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 1.094 * [taylor]: Taking taylor expansion of (* n PI) in n 1.094 * [taylor]: Taking taylor expansion of n in n 1.094 * [taylor]: Taking taylor expansion of PI in n 1.094 * [taylor]: Taking taylor expansion of (* n PI) in n 1.094 * [taylor]: Taking taylor expansion of n in n 1.094 * [taylor]: Taking taylor expansion of PI in n 1.095 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 1.095 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.095 * [taylor]: Taking taylor expansion of PI in n 1.095 * [taylor]: Taking taylor expansion of n in n 1.095 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.095 * [taylor]: Taking taylor expansion of PI in n 1.095 * [taylor]: Taking taylor expansion of n in n 1.095 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 1.095 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.095 * [taylor]: Taking taylor expansion of -1 in n 1.096 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.096 * [taylor]: Taking taylor expansion of PI in n 1.096 * [taylor]: Taking taylor expansion of n in n 1.096 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.096 * [taylor]: Taking taylor expansion of -1 in n 1.096 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.096 * [taylor]: Taking taylor expansion of PI in n 1.096 * [taylor]: Taking taylor expansion of n in n 1.096 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2) 1.097 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 1.097 * [taylor]: Taking taylor expansion of (* n PI) in n 1.097 * [taylor]: Taking taylor expansion of n in n 1.097 * [taylor]: Taking taylor expansion of PI in n 1.097 * [taylor]: Taking taylor expansion of (* n PI) in n 1.097 * [taylor]: Taking taylor expansion of n in n 1.097 * [taylor]: Taking taylor expansion of PI in n 1.097 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 1.097 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.097 * [taylor]: Taking taylor expansion of PI in n 1.097 * [taylor]: Taking taylor expansion of n in n 1.097 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.097 * [taylor]: Taking taylor expansion of PI in n 1.097 * [taylor]: Taking taylor expansion of n in n 1.098 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 1.098 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.098 * [taylor]: Taking taylor expansion of -1 in n 1.098 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.098 * [taylor]: Taking taylor expansion of PI in n 1.098 * [taylor]: Taking taylor expansion of n in n 1.098 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.098 * [taylor]: Taking taylor expansion of -1 in n 1.098 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.098 * [taylor]: Taking taylor expansion of PI in n 1.098 * [taylor]: Taking taylor expansion of n in n 1.099 * * * [progress]: simplifying candidates 1.101 * [simplify]: Simplifying using # : (* (+ (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)) (* (+ (log 2.0) (+ (log PI) (log n))) (/ k 2.0)) (* (+ (log 2.0) (log (* PI n))) (/ k 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (pow (* 2.0 (* PI n)) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* 2.0 (* PI n)) (sqrt (/ k 2.0))) (pow (* 2.0 (* PI n)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* 2.0 (* PI n)) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (sqrt k) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ (sqrt k) 1)) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ 1 1)) (pow (* 2.0 (* PI n)) 1) (pow (* 2.0 (* PI n)) k) (pow 2.0 (/ k 2.0)) (pow (* PI n) (/ k 2.0)) (log (pow (* 2.0 (* PI n)) (/ k 2.0))) (exp (pow (* 2.0 (* PI n)) (/ k 2.0))) (* (cbrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ k 2.0)))) (cbrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (* (* (pow (* 2.0 (* PI n)) (/ k 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0))) (pow (* 2.0 (* PI n)) (/ k 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (pow (* 2.0 (* PI n)) (/ (/ k 2.0) 2)) (pow (* 2.0 (* PI n)) (/ (/ k 2.0) 2)) (* 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) (* 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) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (+ 1 (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (+ (* 0.5 (* k (log n))) (* 0.5 (* k (log (* 2.0 PI))))))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* n PI) (* n PI) (* n PI) (* n PI) (* n PI) (* n PI) 1.143 * * [simplify]: iteration 0 : 5003 enodes (cost 873 ) 1.147 * [simplify]: Simplified to: (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* 2.0 (* PI n)) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* 2.0 (* PI n)) (sqrt (/ 1.0 2.0))) (pow (* 2.0 (* PI n)) (* (cbrt 1.0) (/ (cbrt 1.0) (* (cbrt 2.0) (cbrt 2.0))))) (pow (* 2.0 (* PI n)) (* (cbrt 1.0) (/ (cbrt 1.0) (sqrt 2.0)))) (pow (* 2.0 (* PI n)) (* (cbrt 1.0) (cbrt 1.0))) (pow (* 2.0 (* PI n)) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (sqrt 1.0)) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (pow (* 2.0 (* PI n)) 1.0) (pow 2.0 (/ 1.0 2.0)) (pow (* PI n) (/ 1.0 2.0)) (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (exp (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (* (cbrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0)))) (cbrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (pow (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) 3) (sqrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (pow (* 2.0 (* PI n)) (* (/ 1.0 2.0) 1/2)) (pow (* 2.0 (* PI n)) (* (/ 1.0 2.0) 1/2)) (* (log (* 2.0 (* PI n))) (/ k 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0)) (/ k 2.0) (/ k 2.0) (/ k 2.0) (pow (* 2.0 (* PI n)) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* 2.0 (* PI n)) (sqrt (/ k 2.0))) (pow (* 2.0 (* PI n)) (* (cbrt k) (/ (cbrt k) (* (cbrt 2.0) (cbrt 2.0))))) (pow (* 2.0 (* PI n)) (* (cbrt k) (/ (cbrt k) (sqrt 2.0)))) (pow (* 2.0 (* PI n)) (* (cbrt k) (cbrt k))) (pow (* 2.0 (* PI n)) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (sqrt k) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (sqrt k)) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (pow (* 2.0 (* PI n)) k) (pow 2.0 (/ k 2.0)) (pow (* PI n) (/ k 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0)) (exp (pow (* 2.0 (* PI n)) (/ k 2.0))) (* (cbrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ k 2.0)))) (cbrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (pow (pow (* 2.0 (* PI n)) (/ k 2.0)) 3) (sqrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (pow (* 2.0 (* PI n)) (* (/ k 2.0) 1/2)) (pow (* 2.0 (* PI n)) (* (/ k 2.0) 1/2)) (* 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) (* 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) (pow (* 2.0 (* PI n)) 0.5) (pow (* 2.0 (* PI n)) 0.5) (pow (* -2.0 (/ PI (/ -1 n))) 0.5) (+ 1 (+ (* (log n) (* (log (* 2.0 PI)) (* k (* k 0.25)))) (+ (* (log (* 2.0 (* PI n))) (* k 0.5)) (* 0.125 (* (* k k) (+ (pow (log n) 2) (pow (log (* 2.0 PI)) 2))))))) (pow (* 2.0 (* PI n)) (* k 0.5)) (pow (pow (* -2.0 (/ PI (/ -1 n))) 0.5) k) (* PI n) (* PI n) (* PI n) (* PI n) (* PI n) (* PI n) 1.147 * * * [progress]: adding candidates to table 1.387 * * [progress]: iteration 3 / 4 1.387 * * * [progress]: picking best candidate 1.422 * * * * [pick]: Picked # 1.422 * * * [progress]: localizing error 1.444 * * * [progress]: generating rewritten candidates 1.444 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.451 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.457 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2) 1.461 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2) 1.467 * * * [progress]: generating series expansions 1.467 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.467 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.467 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.467 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.467 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.467 * [taylor]: Taking taylor expansion of 0.5 in n 1.467 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.467 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.467 * [taylor]: Taking taylor expansion of 2.0 in n 1.467 * [taylor]: Taking taylor expansion of (* n PI) in n 1.467 * [taylor]: Taking taylor expansion of n in n 1.467 * [taylor]: Taking taylor expansion of PI in n 1.468 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.468 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.468 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.468 * [taylor]: Taking taylor expansion of 0.5 in n 1.468 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.468 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.468 * [taylor]: Taking taylor expansion of 2.0 in n 1.468 * [taylor]: Taking taylor expansion of (* n PI) in n 1.468 * [taylor]: Taking taylor expansion of n in n 1.468 * [taylor]: Taking taylor expansion of PI in n 1.476 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.476 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.476 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.476 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.476 * [taylor]: Taking taylor expansion of 0.5 in n 1.476 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.476 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.476 * [taylor]: Taking taylor expansion of 2.0 in n 1.476 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.476 * [taylor]: Taking taylor expansion of PI in n 1.476 * [taylor]: Taking taylor expansion of n in n 1.476 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.476 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.476 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.476 * [taylor]: Taking taylor expansion of 0.5 in n 1.476 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.476 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.476 * [taylor]: Taking taylor expansion of 2.0 in n 1.476 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.476 * [taylor]: Taking taylor expansion of PI in n 1.476 * [taylor]: Taking taylor expansion of n in n 1.484 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.484 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.484 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.484 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.484 * [taylor]: Taking taylor expansion of 0.5 in n 1.484 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.484 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.484 * [taylor]: Taking taylor expansion of -2.0 in n 1.484 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.484 * [taylor]: Taking taylor expansion of PI in n 1.484 * [taylor]: Taking taylor expansion of n in n 1.484 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.484 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.484 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.484 * [taylor]: Taking taylor expansion of 0.5 in n 1.484 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.484 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.484 * [taylor]: Taking taylor expansion of -2.0 in n 1.484 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.484 * [taylor]: Taking taylor expansion of PI in n 1.484 * [taylor]: Taking taylor expansion of n in n 1.492 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.492 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in (n k) around 0 1.492 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.492 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.492 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.492 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.492 * [taylor]: Taking taylor expansion of 0.5 in k 1.492 * [taylor]: Taking taylor expansion of k in k 1.492 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.492 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.492 * [taylor]: Taking taylor expansion of 2.0 in k 1.492 * [taylor]: Taking taylor expansion of (* n PI) in k 1.492 * [taylor]: Taking taylor expansion of n in k 1.492 * [taylor]: Taking taylor expansion of PI in k 1.492 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.492 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.492 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.492 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.492 * [taylor]: Taking taylor expansion of 0.5 in n 1.492 * [taylor]: Taking taylor expansion of k in n 1.492 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.492 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.492 * [taylor]: Taking taylor expansion of 2.0 in n 1.492 * [taylor]: Taking taylor expansion of (* n PI) in n 1.493 * [taylor]: Taking taylor expansion of n in n 1.493 * [taylor]: Taking taylor expansion of PI in n 1.493 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.493 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.493 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.493 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.493 * [taylor]: Taking taylor expansion of 0.5 in n 1.493 * [taylor]: Taking taylor expansion of k in n 1.493 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.493 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.493 * [taylor]: Taking taylor expansion of 2.0 in n 1.493 * [taylor]: Taking taylor expansion of (* n PI) in n 1.493 * [taylor]: Taking taylor expansion of n in n 1.493 * [taylor]: Taking taylor expansion of PI in n 1.493 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.493 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.493 * [taylor]: Taking taylor expansion of 0.5 in k 1.493 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.493 * [taylor]: Taking taylor expansion of k in k 1.493 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.493 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.493 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.493 * [taylor]: Taking taylor expansion of 2.0 in k 1.493 * [taylor]: Taking taylor expansion of PI in k 1.494 * [taylor]: Taking taylor expansion of (log n) in k 1.494 * [taylor]: Taking taylor expansion of n in k 1.494 * [taylor]: Taking taylor expansion of 0 in k 1.495 * [taylor]: Taking taylor expansion of 0 in k 1.497 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in (n k) around 0 1.497 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.497 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.497 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.497 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.497 * [taylor]: Taking taylor expansion of 0.5 in k 1.497 * [taylor]: Taking taylor expansion of k in k 1.497 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.497 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.497 * [taylor]: Taking taylor expansion of 2.0 in k 1.497 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.497 * [taylor]: Taking taylor expansion of PI in k 1.497 * [taylor]: Taking taylor expansion of n in k 1.498 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.498 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.498 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.498 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.498 * [taylor]: Taking taylor expansion of 0.5 in n 1.498 * [taylor]: Taking taylor expansion of k in n 1.498 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.498 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.498 * [taylor]: Taking taylor expansion of 2.0 in n 1.498 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.498 * [taylor]: Taking taylor expansion of PI in n 1.498 * [taylor]: Taking taylor expansion of n in n 1.498 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.498 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.498 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.498 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.498 * [taylor]: Taking taylor expansion of 0.5 in n 1.498 * [taylor]: Taking taylor expansion of k in n 1.498 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.498 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.498 * [taylor]: Taking taylor expansion of 2.0 in n 1.498 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.498 * [taylor]: Taking taylor expansion of PI in n 1.498 * [taylor]: Taking taylor expansion of n in n 1.498 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.498 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.498 * [taylor]: Taking taylor expansion of 0.5 in k 1.498 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.499 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.499 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.499 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.499 * [taylor]: Taking taylor expansion of 2.0 in k 1.499 * [taylor]: Taking taylor expansion of PI in k 1.499 * [taylor]: Taking taylor expansion of (log n) in k 1.499 * [taylor]: Taking taylor expansion of n in k 1.499 * [taylor]: Taking taylor expansion of k in k 1.499 * [taylor]: Taking taylor expansion of 0 in k 1.500 * [taylor]: Taking taylor expansion of 0 in k 1.501 * [taylor]: Taking taylor expansion of 0 in k 1.501 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in (n k) around 0 1.501 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.501 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.501 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.501 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.501 * [taylor]: Taking taylor expansion of -0.5 in k 1.501 * [taylor]: Taking taylor expansion of k in k 1.501 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.501 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.501 * [taylor]: Taking taylor expansion of -2.0 in k 1.501 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.501 * [taylor]: Taking taylor expansion of PI in k 1.501 * [taylor]: Taking taylor expansion of n in k 1.502 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.502 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.502 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.502 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.502 * [taylor]: Taking taylor expansion of -0.5 in n 1.502 * [taylor]: Taking taylor expansion of k in n 1.502 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.502 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.502 * [taylor]: Taking taylor expansion of -2.0 in n 1.502 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.502 * [taylor]: Taking taylor expansion of PI in n 1.502 * [taylor]: Taking taylor expansion of n in n 1.502 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.502 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.502 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.502 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.502 * [taylor]: Taking taylor expansion of -0.5 in n 1.502 * [taylor]: Taking taylor expansion of k in n 1.502 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.502 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.502 * [taylor]: Taking taylor expansion of -2.0 in n 1.502 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.502 * [taylor]: Taking taylor expansion of PI in n 1.502 * [taylor]: Taking taylor expansion of n in n 1.503 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.503 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.503 * [taylor]: Taking taylor expansion of -0.5 in k 1.503 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.503 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.503 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.503 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.503 * [taylor]: Taking taylor expansion of -2.0 in k 1.503 * [taylor]: Taking taylor expansion of PI in k 1.503 * [taylor]: Taking taylor expansion of (log n) in k 1.503 * [taylor]: Taking taylor expansion of n in k 1.503 * [taylor]: Taking taylor expansion of k in k 1.504 * [taylor]: Taking taylor expansion of 0 in k 1.504 * [taylor]: Taking taylor expansion of 0 in k 1.505 * [taylor]: Taking taylor expansion of 0 in k 1.505 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2) 1.505 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 1.505 * [taylor]: Taking taylor expansion of (* n PI) in n 1.505 * [taylor]: Taking taylor expansion of n in n 1.505 * [taylor]: Taking taylor expansion of PI in n 1.505 * [taylor]: Taking taylor expansion of (* n PI) in n 1.505 * [taylor]: Taking taylor expansion of n in n 1.505 * [taylor]: Taking taylor expansion of PI in n 1.506 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 1.506 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.506 * [taylor]: Taking taylor expansion of PI in n 1.506 * [taylor]: Taking taylor expansion of n in n 1.506 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.506 * [taylor]: Taking taylor expansion of PI in n 1.506 * [taylor]: Taking taylor expansion of n in n 1.507 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 1.507 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.507 * [taylor]: Taking taylor expansion of -1 in n 1.507 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.507 * [taylor]: Taking taylor expansion of PI in n 1.507 * [taylor]: Taking taylor expansion of n in n 1.507 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.507 * [taylor]: Taking taylor expansion of -1 in n 1.507 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.507 * [taylor]: Taking taylor expansion of PI in n 1.507 * [taylor]: Taking taylor expansion of n in n 1.508 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2) 1.508 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 1.508 * [taylor]: Taking taylor expansion of (* n PI) in n 1.508 * [taylor]: Taking taylor expansion of n in n 1.508 * [taylor]: Taking taylor expansion of PI in n 1.508 * [taylor]: Taking taylor expansion of (* n PI) in n 1.508 * [taylor]: Taking taylor expansion of n in n 1.508 * [taylor]: Taking taylor expansion of PI in n 1.508 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 1.508 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.508 * [taylor]: Taking taylor expansion of PI in n 1.508 * [taylor]: Taking taylor expansion of n in n 1.508 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.508 * [taylor]: Taking taylor expansion of PI in n 1.508 * [taylor]: Taking taylor expansion of n in n 1.509 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 1.509 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.509 * [taylor]: Taking taylor expansion of -1 in n 1.509 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.509 * [taylor]: Taking taylor expansion of PI in n 1.509 * [taylor]: Taking taylor expansion of n in n 1.509 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.509 * [taylor]: Taking taylor expansion of -1 in n 1.509 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.509 * [taylor]: Taking taylor expansion of PI in n 1.509 * [taylor]: Taking taylor expansion of n in n 1.510 * * * [progress]: simplifying candidates 1.511 * [simplify]: Simplifying using # : (* (+ (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)) (* (+ (log 2.0) (+ (log PI) (log n))) (/ k 2.0)) (* (+ (log 2.0) (log (* PI n))) (/ k 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (pow (* 2.0 (* PI n)) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* 2.0 (* PI n)) (sqrt (/ k 2.0))) (pow (* 2.0 (* PI n)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* 2.0 (* PI n)) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (sqrt k) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ (sqrt k) 1)) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ 1 1)) (pow (* 2.0 (* PI n)) 1) (pow (* 2.0 (* PI n)) k) (pow 2.0 (/ k 2.0)) (pow (* PI n) (/ k 2.0)) (log (pow (* 2.0 (* PI n)) (/ k 2.0))) (exp (pow (* 2.0 (* PI n)) (/ k 2.0))) (* (cbrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ k 2.0)))) (cbrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (* (* (pow (* 2.0 (* PI n)) (/ k 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0))) (pow (* 2.0 (* PI n)) (/ k 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (pow (* 2.0 (* PI n)) (/ (/ k 2.0) 2)) (pow (* 2.0 (* PI n)) (/ (/ k 2.0) 2)) (* 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) (* 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) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (+ 1 (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (+ (* 0.5 (* k (log n))) (* 0.5 (* k (log (* 2.0 PI))))))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* n PI) (* n PI) (* n PI) (* n PI) (* n PI) (* n PI) 1.555 * * [simplify]: iteration 0 : 5003 enodes (cost 873 ) 1.562 * [simplify]: Simplified to: (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* 2.0 (* PI n)) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* 2.0 (* PI n)) (sqrt (/ 1.0 2.0))) (pow (* 2.0 (* PI n)) (* (cbrt 1.0) (/ (cbrt 1.0) (* (cbrt 2.0) (cbrt 2.0))))) (pow (* 2.0 (* PI n)) (* (cbrt 1.0) (/ (cbrt 1.0) (sqrt 2.0)))) (pow (* 2.0 (* PI n)) (* (cbrt 1.0) (cbrt 1.0))) (pow (* 2.0 (* PI n)) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (sqrt 1.0)) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (pow (* 2.0 (* PI n)) 1.0) (pow 2.0 (/ 1.0 2.0)) (pow (* PI n) (/ 1.0 2.0)) (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (exp (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (* (cbrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0)))) (cbrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (pow (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) 3) (sqrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (pow (* 2.0 (* PI n)) (* (/ 1.0 2.0) 1/2)) (pow (* 2.0 (* PI n)) (* (/ 1.0 2.0) 1/2)) (* (log (* 2.0 (* PI n))) (/ k 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0)) (/ k 2.0) (/ k 2.0) (/ k 2.0) (pow (* 2.0 (* PI n)) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* 2.0 (* PI n)) (sqrt (/ k 2.0))) (pow (* 2.0 (* PI n)) (* (cbrt k) (/ (cbrt k) (* (cbrt 2.0) (cbrt 2.0))))) (pow (* 2.0 (* PI n)) (* (cbrt k) (/ (cbrt k) (sqrt 2.0)))) (pow (* 2.0 (* PI n)) (* (cbrt k) (cbrt k))) (pow (* 2.0 (* PI n)) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (sqrt k) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (sqrt k)) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (pow (* 2.0 (* PI n)) k) (pow 2.0 (/ k 2.0)) (pow (* PI n) (/ k 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0)) (exp (pow (* 2.0 (* PI n)) (/ k 2.0))) (* (cbrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ k 2.0)))) (cbrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (pow (pow (* 2.0 (* PI n)) (/ k 2.0)) 3) (sqrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (pow (* 2.0 (* PI n)) (* (/ k 2.0) 1/2)) (pow (* 2.0 (* PI n)) (* (/ k 2.0) 1/2)) (* 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) (* 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) (pow (* 2.0 (* PI n)) 0.5) (pow (* 2.0 (* PI n)) 0.5) (pow (* -2.0 (/ PI (/ -1 n))) 0.5) (+ 1 (+ (* (log n) (* (log (* 2.0 PI)) (* k (* k 0.25)))) (+ (* (log (* 2.0 (* PI n))) (* k 0.5)) (* 0.125 (* (* k k) (+ (pow (log n) 2) (pow (log (* 2.0 PI)) 2))))))) (pow (* 2.0 (* PI n)) (* k 0.5)) (pow (pow (* -2.0 (/ PI (/ -1 n))) 0.5) k) (* PI n) (* PI n) (* PI n) (* PI n) (* PI n) (* PI n) 1.563 * * * [progress]: adding candidates to table 1.790 * * [progress]: iteration 4 / 4 1.790 * * * [progress]: picking best candidate 1.822 * * * * [pick]: Picked # 1.822 * * * [progress]: localizing error 1.845 * * * [progress]: generating rewritten candidates 1.845 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.853 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.860 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 1.866 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 2) 1.874 * * * [progress]: generating series expansions 1.874 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.874 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.874 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.874 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.874 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.874 * [taylor]: Taking taylor expansion of 0.5 in n 1.874 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.874 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.874 * [taylor]: Taking taylor expansion of 2.0 in n 1.874 * [taylor]: Taking taylor expansion of (* n PI) in n 1.874 * [taylor]: Taking taylor expansion of n in n 1.874 * [taylor]: Taking taylor expansion of PI in n 1.874 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.875 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.875 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.875 * [taylor]: Taking taylor expansion of 0.5 in n 1.875 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.875 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.875 * [taylor]: Taking taylor expansion of 2.0 in n 1.875 * [taylor]: Taking taylor expansion of (* n PI) in n 1.875 * [taylor]: Taking taylor expansion of n in n 1.875 * [taylor]: Taking taylor expansion of PI in n 1.882 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.882 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.882 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.882 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.882 * [taylor]: Taking taylor expansion of 0.5 in n 1.882 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.882 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.882 * [taylor]: Taking taylor expansion of 2.0 in n 1.882 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.882 * [taylor]: Taking taylor expansion of PI in n 1.882 * [taylor]: Taking taylor expansion of n in n 1.882 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.882 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.882 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.882 * [taylor]: Taking taylor expansion of 0.5 in n 1.882 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.882 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.882 * [taylor]: Taking taylor expansion of 2.0 in n 1.882 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.882 * [taylor]: Taking taylor expansion of PI in n 1.882 * [taylor]: Taking taylor expansion of n in n 1.892 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.892 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.892 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.892 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.892 * [taylor]: Taking taylor expansion of 0.5 in n 1.892 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.892 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.892 * [taylor]: Taking taylor expansion of -2.0 in n 1.892 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.892 * [taylor]: Taking taylor expansion of PI in n 1.892 * [taylor]: Taking taylor expansion of n in n 1.892 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.892 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.892 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.892 * [taylor]: Taking taylor expansion of 0.5 in n 1.892 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.892 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.893 * [taylor]: Taking taylor expansion of -2.0 in n 1.893 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.893 * [taylor]: Taking taylor expansion of PI in n 1.893 * [taylor]: Taking taylor expansion of n in n 1.900 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.900 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in (n k) around 0 1.900 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.900 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.900 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.900 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.900 * [taylor]: Taking taylor expansion of 0.5 in k 1.900 * [taylor]: Taking taylor expansion of k in k 1.900 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.900 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.900 * [taylor]: Taking taylor expansion of 2.0 in k 1.900 * [taylor]: Taking taylor expansion of (* n PI) in k 1.900 * [taylor]: Taking taylor expansion of n in k 1.900 * [taylor]: Taking taylor expansion of PI in k 1.901 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.901 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.901 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.901 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.901 * [taylor]: Taking taylor expansion of 0.5 in n 1.901 * [taylor]: Taking taylor expansion of k in n 1.901 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.901 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.901 * [taylor]: Taking taylor expansion of 2.0 in n 1.901 * [taylor]: Taking taylor expansion of (* n PI) in n 1.901 * [taylor]: Taking taylor expansion of n in n 1.901 * [taylor]: Taking taylor expansion of PI in n 1.901 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.901 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.901 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.901 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.901 * [taylor]: Taking taylor expansion of 0.5 in n 1.901 * [taylor]: Taking taylor expansion of k in n 1.901 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.901 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.901 * [taylor]: Taking taylor expansion of 2.0 in n 1.901 * [taylor]: Taking taylor expansion of (* n PI) in n 1.901 * [taylor]: Taking taylor expansion of n in n 1.901 * [taylor]: Taking taylor expansion of PI in n 1.902 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.902 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.902 * [taylor]: Taking taylor expansion of 0.5 in k 1.902 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.902 * [taylor]: Taking taylor expansion of k in k 1.902 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.902 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.902 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.902 * [taylor]: Taking taylor expansion of 2.0 in k 1.902 * [taylor]: Taking taylor expansion of PI in k 1.902 * [taylor]: Taking taylor expansion of (log n) in k 1.902 * [taylor]: Taking taylor expansion of n in k 1.903 * [taylor]: Taking taylor expansion of 0 in k 1.904 * [taylor]: Taking taylor expansion of 0 in k 1.906 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in (n k) around 0 1.906 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.906 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.906 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.906 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.906 * [taylor]: Taking taylor expansion of 0.5 in k 1.906 * [taylor]: Taking taylor expansion of k in k 1.906 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.906 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.906 * [taylor]: Taking taylor expansion of 2.0 in k 1.906 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.906 * [taylor]: Taking taylor expansion of PI in k 1.906 * [taylor]: Taking taylor expansion of n in k 1.906 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.906 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.906 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.906 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.906 * [taylor]: Taking taylor expansion of 0.5 in n 1.906 * [taylor]: Taking taylor expansion of k in n 1.906 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.906 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.906 * [taylor]: Taking taylor expansion of 2.0 in n 1.906 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.906 * [taylor]: Taking taylor expansion of PI in n 1.906 * [taylor]: Taking taylor expansion of n in n 1.907 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.907 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.907 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.907 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.907 * [taylor]: Taking taylor expansion of 0.5 in n 1.907 * [taylor]: Taking taylor expansion of k in n 1.907 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.907 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.907 * [taylor]: Taking taylor expansion of 2.0 in n 1.907 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.907 * [taylor]: Taking taylor expansion of PI in n 1.907 * [taylor]: Taking taylor expansion of n in n 1.907 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.907 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.907 * [taylor]: Taking taylor expansion of 0.5 in k 1.907 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.907 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.907 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.907 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.907 * [taylor]: Taking taylor expansion of 2.0 in k 1.908 * [taylor]: Taking taylor expansion of PI in k 1.908 * [taylor]: Taking taylor expansion of (log n) in k 1.908 * [taylor]: Taking taylor expansion of n in k 1.908 * [taylor]: Taking taylor expansion of k in k 1.908 * [taylor]: Taking taylor expansion of 0 in k 1.909 * [taylor]: Taking taylor expansion of 0 in k 1.910 * [taylor]: Taking taylor expansion of 0 in k 1.910 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in (n k) around 0 1.910 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.910 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.910 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.910 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.910 * [taylor]: Taking taylor expansion of -0.5 in k 1.910 * [taylor]: Taking taylor expansion of k in k 1.911 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.911 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.911 * [taylor]: Taking taylor expansion of -2.0 in k 1.911 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.911 * [taylor]: Taking taylor expansion of PI in k 1.911 * [taylor]: Taking taylor expansion of n in k 1.911 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.911 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.911 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.911 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.911 * [taylor]: Taking taylor expansion of -0.5 in n 1.911 * [taylor]: Taking taylor expansion of k in n 1.911 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.911 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.911 * [taylor]: Taking taylor expansion of -2.0 in n 1.911 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.911 * [taylor]: Taking taylor expansion of PI in n 1.911 * [taylor]: Taking taylor expansion of n in n 1.911 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.911 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.911 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.911 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.911 * [taylor]: Taking taylor expansion of -0.5 in n 1.911 * [taylor]: Taking taylor expansion of k in n 1.911 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.911 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.911 * [taylor]: Taking taylor expansion of -2.0 in n 1.911 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.911 * [taylor]: Taking taylor expansion of PI in n 1.911 * [taylor]: Taking taylor expansion of n in n 1.912 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.912 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.912 * [taylor]: Taking taylor expansion of -0.5 in k 1.912 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.912 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.912 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.912 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.912 * [taylor]: Taking taylor expansion of -2.0 in k 1.912 * [taylor]: Taking taylor expansion of PI in k 1.912 * [taylor]: Taking taylor expansion of (log n) in k 1.912 * [taylor]: Taking taylor expansion of n in k 1.912 * [taylor]: Taking taylor expansion of k in k 1.913 * [taylor]: Taking taylor expansion of 0 in k 1.913 * [taylor]: Taking taylor expansion of 0 in k 1.914 * [taylor]: Taking taylor expansion of 0 in k 1.914 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 1.914 * [approximate]: Taking taylor expansion of (* -1 (* n PI)) in (n) around 0 1.915 * [taylor]: Taking taylor expansion of (* -1 (* n PI)) in n 1.915 * [taylor]: Taking taylor expansion of -1 in n 1.915 * [taylor]: Taking taylor expansion of (* n PI) in n 1.915 * [taylor]: Taking taylor expansion of n in n 1.915 * [taylor]: Taking taylor expansion of PI in n 1.915 * [taylor]: Taking taylor expansion of (* -1 (* n PI)) in n 1.915 * [taylor]: Taking taylor expansion of -1 in n 1.915 * [taylor]: Taking taylor expansion of (* n PI) in n 1.915 * [taylor]: Taking taylor expansion of n in n 1.915 * [taylor]: Taking taylor expansion of PI in n 1.915 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 1.915 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.916 * [taylor]: Taking taylor expansion of -1 in n 1.916 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.916 * [taylor]: Taking taylor expansion of PI in n 1.916 * [taylor]: Taking taylor expansion of n in n 1.916 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.916 * [taylor]: Taking taylor expansion of -1 in n 1.916 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.916 * [taylor]: Taking taylor expansion of PI in n 1.916 * [taylor]: Taking taylor expansion of n in n 1.916 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 1.916 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.916 * [taylor]: Taking taylor expansion of PI in n 1.917 * [taylor]: Taking taylor expansion of n in n 1.917 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.917 * [taylor]: Taking taylor expansion of PI in n 1.917 * [taylor]: Taking taylor expansion of n in n 1.917 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 2) 1.917 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 1.917 * [taylor]: Taking taylor expansion of (* n PI) in n 1.917 * [taylor]: Taking taylor expansion of n in n 1.917 * [taylor]: Taking taylor expansion of PI in n 1.917 * [taylor]: Taking taylor expansion of (* n PI) in n 1.917 * [taylor]: Taking taylor expansion of n in n 1.917 * [taylor]: Taking taylor expansion of PI in n 1.918 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 1.918 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.918 * [taylor]: Taking taylor expansion of PI in n 1.918 * [taylor]: Taking taylor expansion of n in n 1.918 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.918 * [taylor]: Taking taylor expansion of PI in n 1.918 * [taylor]: Taking taylor expansion of n in n 1.918 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 1.918 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.918 * [taylor]: Taking taylor expansion of -1 in n 1.918 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.918 * [taylor]: Taking taylor expansion of PI in n 1.918 * [taylor]: Taking taylor expansion of n in n 1.918 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.919 * [taylor]: Taking taylor expansion of -1 in n 1.919 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.919 * [taylor]: Taking taylor expansion of PI in n 1.919 * [taylor]: Taking taylor expansion of n in n 1.919 * * * [progress]: simplifying candidates 1.921 * [simplify]: Simplifying using # : (* (+ (log -2.0) (- (log PI) (- (log -1) (log n)))) 0.5) (* (+ (log -2.0) (- (log PI) (log (/ -1 n)))) 0.5) (* (+ (log -2.0) (log (/ PI (/ -1 n)))) 0.5) (* (log (* -2.0 (/ PI (/ -1 n)))) 0.5) (* (log (* -2.0 (/ PI (/ -1 n)))) 0.5) (* 1 0.5) (* 1 0.5) (pow (* -2.0 (/ PI (/ -1 n))) (* (cbrt 0.5) (cbrt 0.5))) (pow (* -2.0 (/ PI (/ -1 n))) (sqrt 0.5)) (pow (* -2.0 (/ PI (/ -1 n))) 1) (pow -2.0 0.5) (pow (/ PI (/ -1 n)) 0.5) (log (pow (* -2.0 (/ PI (/ -1 n))) 0.5)) (exp (pow (* -2.0 (/ PI (/ -1 n))) 0.5)) (* (cbrt (pow (* -2.0 (/ PI (/ -1 n))) 0.5)) (cbrt (pow (* -2.0 (/ PI (/ -1 n))) 0.5))) (cbrt (pow (* -2.0 (/ PI (/ -1 n))) 0.5)) (* (* (pow (* -2.0 (/ PI (/ -1 n))) 0.5) (pow (* -2.0 (/ PI (/ -1 n))) 0.5)) (pow (* -2.0 (/ PI (/ -1 n))) 0.5)) (sqrt (pow (* -2.0 (/ PI (/ -1 n))) 0.5)) (sqrt (pow (* -2.0 (/ PI (/ -1 n))) 0.5)) (pow (* -2.0 (/ PI (/ -1 n))) (/ 0.5 2)) (pow (* -2.0 (/ PI (/ -1 n))) (/ 0.5 2)) (* (+ (log 2.0) (+ (log PI) (log n))) (/ k 2.0)) (* (+ (log 2.0) (log (* PI n))) (/ k 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (pow (* 2.0 (* PI n)) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* 2.0 (* PI n)) (sqrt (/ k 2.0))) (pow (* 2.0 (* PI n)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* 2.0 (* PI n)) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (sqrt k) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ (sqrt k) 1)) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ 1 1)) (pow (* 2.0 (* PI n)) 1) (pow (* 2.0 (* PI n)) k) (pow 2.0 (/ k 2.0)) (pow (* PI n) (/ k 2.0)) (log (pow (* 2.0 (* PI n)) (/ k 2.0))) (exp (pow (* 2.0 (* PI n)) (/ k 2.0))) (* (cbrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ k 2.0)))) (cbrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (* (* (pow (* 2.0 (* PI n)) (/ k 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0))) (pow (* 2.0 (* PI n)) (/ k 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (pow (* 2.0 (* PI n)) (/ (/ k 2.0) 2)) (pow (* 2.0 (* PI n)) (/ (/ k 2.0) 2)) (- (log PI) (- (log -1) (log n))) (- (log PI) (log (/ -1 n))) (log (/ PI (/ -1 n))) (exp (/ PI (/ -1 n))) (/ (* (* PI PI) PI) (/ (* (* -1 -1) -1) (* (* n n) n))) (/ (* (* PI PI) PI) (* (* (/ -1 n) (/ -1 n)) (/ -1 n))) (* (cbrt (/ PI (/ -1 n))) (cbrt (/ PI (/ -1 n)))) (cbrt (/ PI (/ -1 n))) (* (* (/ PI (/ -1 n)) (/ PI (/ -1 n))) (/ PI (/ -1 n))) (sqrt (/ PI (/ -1 n))) (sqrt (/ PI (/ -1 n))) (neg PI) (neg (/ -1 n)) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (/ (cbrt PI) (cbrt (/ -1 n))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (/ -1 n))) (/ (cbrt PI) (sqrt (/ -1 n))) (/ (* (cbrt PI) (cbrt PI)) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt n) (cbrt n)))) (/ (cbrt PI) (/ (cbrt -1) (cbrt n))) (/ (* (cbrt PI) (cbrt PI)) (/ (* (cbrt -1) (cbrt -1)) (sqrt n))) (/ (cbrt PI) (/ (cbrt -1) (sqrt n))) (/ (* (cbrt PI) (cbrt PI)) (/ (* (cbrt -1) (cbrt -1)) 1)) (/ (cbrt PI) (/ (cbrt -1) n)) (/ (* (cbrt PI) (cbrt PI)) (/ (sqrt -1) (* (cbrt n) (cbrt n)))) (/ (cbrt PI) (/ (sqrt -1) (cbrt n))) (/ (* (cbrt PI) (cbrt PI)) (/ (sqrt -1) (sqrt n))) (/ (cbrt PI) (/ (sqrt -1) (sqrt n))) (/ (* (cbrt PI) (cbrt PI)) (/ (sqrt -1) 1)) (/ (cbrt PI) (/ (sqrt -1) n)) (/ (* (cbrt PI) (cbrt PI)) (/ 1 (* (cbrt n) (cbrt n)))) (/ (cbrt PI) (/ -1 (cbrt n))) (/ (* (cbrt PI) (cbrt PI)) (/ 1 (sqrt n))) (/ (cbrt PI) (/ -1 (sqrt n))) (/ (* (cbrt PI) (cbrt PI)) (/ 1 1)) (/ (cbrt PI) (/ -1 n)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (/ -1 n)) (/ (* (cbrt PI) (cbrt PI)) -1) (/ (cbrt PI) (/ 1 n)) (/ (sqrt PI) (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (/ (sqrt PI) (cbrt (/ -1 n))) (/ (sqrt PI) (sqrt (/ -1 n))) (/ (sqrt PI) (sqrt (/ -1 n))) (/ (sqrt PI) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt n) (cbrt n)))) (/ (sqrt PI) (/ (cbrt -1) (cbrt n))) (/ (sqrt PI) (/ (* (cbrt -1) (cbrt -1)) (sqrt n))) (/ (sqrt PI) (/ (cbrt -1) (sqrt n))) (/ (sqrt PI) (/ (* (cbrt -1) (cbrt -1)) 1)) (/ (sqrt PI) (/ (cbrt -1) n)) (/ (sqrt PI) (/ (sqrt -1) (* (cbrt n) (cbrt n)))) (/ (sqrt PI) (/ (sqrt -1) (cbrt n))) (/ (sqrt PI) (/ (sqrt -1) (sqrt n))) (/ (sqrt PI) (/ (sqrt -1) (sqrt n))) (/ (sqrt PI) (/ (sqrt -1) 1)) (/ (sqrt PI) (/ (sqrt -1) n)) (/ (sqrt PI) (/ 1 (* (cbrt n) (cbrt n)))) (/ (sqrt PI) (/ -1 (cbrt n))) (/ (sqrt PI) (/ 1 (sqrt n))) (/ (sqrt PI) (/ -1 (sqrt n))) (/ (sqrt PI) (/ 1 1)) (/ (sqrt PI) (/ -1 n)) (/ (sqrt PI) 1) (/ (sqrt PI) (/ -1 n)) (/ (sqrt PI) -1) (/ (sqrt PI) (/ 1 n)) (/ 1 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (/ PI (cbrt (/ -1 n))) (/ 1 (sqrt (/ -1 n))) (/ PI (sqrt (/ -1 n))) (/ 1 (/ (* (cbrt -1) (cbrt -1)) (* (cbrt n) (cbrt n)))) (/ PI (/ (cbrt -1) (cbrt n))) (/ 1 (/ (* (cbrt -1) (cbrt -1)) (sqrt n))) (/ PI (/ (cbrt -1) (sqrt n))) (/ 1 (/ (* (cbrt -1) (cbrt -1)) 1)) (/ PI (/ (cbrt -1) n)) (/ 1 (/ (sqrt -1) (* (cbrt n) (cbrt n)))) (/ PI (/ (sqrt -1) (cbrt n))) (/ 1 (/ (sqrt -1) (sqrt n))) (/ PI (/ (sqrt -1) (sqrt n))) (/ 1 (/ (sqrt -1) 1)) (/ PI (/ (sqrt -1) n)) (/ 1 (/ 1 (* (cbrt n) (cbrt n)))) (/ PI (/ -1 (cbrt n))) (/ 1 (/ 1 (sqrt n))) (/ PI (/ -1 (sqrt n))) (/ 1 (/ 1 1)) (/ PI (/ -1 n)) (/ 1 1) (/ PI (/ -1 n)) (/ 1 -1) (/ PI (/ 1 n)) (/ 1 (/ -1 n)) (/ (/ -1 n) PI) (/ PI (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (/ PI (sqrt (/ -1 n))) (/ PI (/ (* (cbrt -1) (cbrt -1)) (* (cbrt n) (cbrt n)))) (/ PI (/ (* (cbrt -1) (cbrt -1)) (sqrt n))) (/ PI (/ (* (cbrt -1) (cbrt -1)) 1)) (/ PI (/ (sqrt -1) (* (cbrt n) (cbrt n)))) (/ PI (/ (sqrt -1) (sqrt n))) (/ PI (/ (sqrt -1) 1)) (/ PI (/ 1 (* (cbrt n) (cbrt n)))) (/ PI (/ 1 (sqrt n))) (/ PI (/ 1 1)) (/ PI 1) (/ PI -1) (/ (/ -1 n) (cbrt PI)) (/ (/ -1 n) (sqrt PI)) (/ (/ -1 n) PI) (/ PI -1) (* 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) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (+ 1 (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (+ (* 0.5 (* k (log n))) (* 0.5 (* k (log (* 2.0 PI))))))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* -1 (* n PI)) (* -1 (* n PI)) (* -1 (* n PI)) (* n PI) (* n PI) (* n PI) 1.958 * * [simplify]: iteration 0 : 4965 enodes (cost 1405 ) 1.959 * * [simplify]: iteration 1 : 4965 enodes (cost 1405 ) 1.965 * [simplify]: Simplified to: (* (log (* -2.0 (* PI (neg n)))) 0.5) (* (log (* -2.0 (* PI (neg n)))) 0.5) (* (log (* -2.0 (* PI (neg n)))) 0.5) (* (log (* -2.0 (* PI (neg n)))) 0.5) (* (log (* -2.0 (* PI (neg n)))) 0.5) 0.5 0.5 (pow (* -2.0 (* PI (neg n))) (* (cbrt 0.5) (cbrt 0.5))) (pow (* -2.0 (* PI (neg n))) (sqrt 0.5)) (* -2.0 (* PI (neg n))) (pow -2.0 0.5) (pow (* PI (neg n)) 0.5) (* (log (* -2.0 (* PI (neg n)))) 0.5) (exp (pow (* -2.0 (* PI (neg n))) 0.5)) (* (cbrt (pow (* -2.0 (* PI (neg n))) 0.5)) (cbrt (pow (* -2.0 (* PI (neg n))) 0.5))) (cbrt (pow (* -2.0 (* PI (neg n))) 0.5)) (pow (pow (* -2.0 (* PI (neg n))) 0.5) 3) (sqrt (pow (* -2.0 (* PI (neg n))) 0.5)) (sqrt (pow (* -2.0 (* PI (neg n))) 0.5)) (pow (* -2.0 (* PI (neg n))) (/ 0.5 2)) (pow (* -2.0 (* PI (neg n))) (/ 0.5 2)) (* (log (* PI (* 2.0 n))) (/ k 2.0)) (* (log (* PI (* 2.0 n))) (/ k 2.0)) (* (log (* PI (* 2.0 n))) (/ k 2.0)) (* (log (* PI (* 2.0 n))) (/ k 2.0)) (/ k 2.0) (/ k 2.0) (/ k 2.0) (pow (* PI (* 2.0 n)) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* PI (* 2.0 n)) (sqrt (/ k 2.0))) (pow (* PI (* 2.0 n)) (* (/ (cbrt k) (cbrt 2.0)) (/ (cbrt k) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (* (/ (cbrt k) (sqrt 2.0)) (cbrt k))) (pow (* PI (* 2.0 n)) (* (cbrt k) (cbrt k))) (pow (* PI (* 2.0 n)) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ (sqrt k) (sqrt 2.0))) (pow (* PI (* 2.0 n)) (sqrt 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)) (* PI (* 2.0 n)) (pow (* PI (* 2.0 n)) k) (pow 2.0 (/ k 2.0)) (pow (* PI n) (/ k 2.0)) (* (log (* PI (* 2.0 n))) (/ k 2.0)) (exp (pow (* PI (* 2.0 n)) (/ k 2.0))) (* (cbrt (pow (* PI (* 2.0 n)) (/ k 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ k 2.0)))) (cbrt (pow (* PI (* 2.0 n)) (/ k 2.0))) (pow (pow (* PI (* 2.0 n)) (/ k 2.0)) 3) (sqrt (pow (* PI (* 2.0 n)) (/ k 2.0))) (sqrt (pow (* PI (* 2.0 n)) (/ k 2.0))) (pow (* PI (* 2.0 n)) (* (/ k 2.0) 1/2)) (pow (* PI (* 2.0 n)) (* (/ k 2.0) 1/2)) (log (* PI (neg n))) (log (* PI (neg n))) (log (* PI (neg n))) (pow (exp PI) (neg n)) (pow (* PI (neg n)) 3) (pow (* PI (neg n)) 3) (* (cbrt (* PI (neg n))) (cbrt (* PI (neg n)))) (cbrt (* PI (neg n))) (pow (* PI (neg n)) 3) (sqrt (* PI (neg n))) (sqrt (* PI (neg n))) (neg PI) (/ 1 n) (* (/ (cbrt PI) (cbrt (/ -1 n))) (/ (cbrt PI) (cbrt (/ -1 n)))) (/ (cbrt PI) (cbrt (/ -1 n))) (* (/ (cbrt PI) (sqrt (/ -1 n))) (cbrt PI)) (/ (cbrt PI) (sqrt (/ -1 n))) (* (* (cbrt n) (cbrt n)) (* (/ (cbrt PI) (cbrt -1)) (/ (cbrt PI) (cbrt -1)))) (* (cbrt n) (/ (cbrt PI) (cbrt -1))) (* (sqrt n) (* (/ (cbrt PI) (cbrt -1)) (/ (cbrt PI) (cbrt -1)))) (* (cbrt PI) (/ (sqrt n) (cbrt -1))) (* (/ (cbrt PI) (cbrt -1)) (/ (cbrt PI) (cbrt -1))) (* n (/ (cbrt PI) (cbrt -1))) (* (* (cbrt n) (cbrt n)) (* (/ (cbrt PI) (sqrt -1)) (cbrt PI))) (* (cbrt n) (/ (cbrt PI) (sqrt -1))) (* (sqrt n) (* (/ (cbrt PI) (sqrt -1)) (cbrt PI))) (* (sqrt n) (/ (cbrt PI) (sqrt -1))) (* (/ (cbrt PI) (sqrt -1)) (cbrt PI)) (* n (/ (cbrt PI) (sqrt -1))) (* (cbrt PI) (* (cbrt PI) (* (cbrt n) (cbrt n)))) (* (cbrt n) (/ (cbrt PI) -1)) (* (cbrt PI) (* (cbrt PI) (sqrt n))) (* (sqrt n) (/ (cbrt PI) -1)) (* (cbrt PI) (cbrt PI)) (* n (/ (cbrt PI) -1)) (* (cbrt PI) (cbrt PI)) (* n (/ (cbrt PI) -1)) (* (/ (cbrt PI) -1) (cbrt PI)) (* n (cbrt PI)) (/ (sqrt PI) (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (/ (sqrt PI) (cbrt (/ -1 n))) (/ (sqrt PI) (sqrt (/ -1 n))) (/ (sqrt PI) (sqrt (/ -1 n))) (* (* (cbrt n) (cbrt n)) (/ (sqrt PI) (* (cbrt -1) (cbrt -1)))) (* (cbrt n) (/ (sqrt PI) (cbrt -1))) (* (sqrt n) (/ (sqrt PI) (* (cbrt -1) (cbrt -1)))) (* (sqrt n) (/ (sqrt PI) (cbrt -1))) (/ (sqrt PI) (* (cbrt -1) (cbrt -1))) (* n (/ (sqrt PI) (cbrt -1))) (* (* (cbrt n) (cbrt n)) (/ (sqrt PI) (sqrt -1))) (* (cbrt n) (/ (sqrt PI) (sqrt -1))) (* (sqrt n) (/ (sqrt PI) (sqrt -1))) (* (sqrt n) (/ (sqrt PI) (sqrt -1))) (/ (sqrt PI) (sqrt -1)) (* n (/ (sqrt PI) (sqrt -1))) (* (* (cbrt n) (cbrt n)) (sqrt PI)) (* (cbrt n) (/ (sqrt PI) -1)) (* (sqrt n) (sqrt PI)) (* (sqrt n) (/ (sqrt PI) -1)) (sqrt PI) (* n (/ (sqrt PI) -1)) (sqrt PI) (* n (/ (sqrt PI) -1)) (/ (sqrt PI) -1) (* n (sqrt PI)) (/ 1 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (/ PI (cbrt (/ -1 n))) (/ 1 (sqrt (/ -1 n))) (/ PI (sqrt (/ -1 n))) (* (/ (cbrt n) (cbrt -1)) (/ (cbrt n) (cbrt -1))) (* (cbrt n) (/ PI (cbrt -1))) (/ (sqrt n) (* (cbrt -1) (cbrt -1))) (* (sqrt n) (/ PI (cbrt -1))) (/ 1 (* (cbrt -1) (cbrt -1))) (* n (/ PI (cbrt -1))) (/ (* (cbrt n) (cbrt n)) (sqrt -1)) (* (cbrt n) (/ PI (sqrt -1))) (/ (sqrt n) (sqrt -1)) (* (sqrt n) (/ PI (sqrt -1))) (/ 1 (sqrt -1)) (* n (/ PI (sqrt -1))) (* (cbrt n) (cbrt n)) (* (cbrt n) (/ PI -1)) (sqrt n) (* -1 (* PI (sqrt n))) 1 (* PI (neg n)) 1 (* PI (neg n)) -1 (* PI n) (neg n) (/ -1 (* PI n)) (/ PI (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (/ PI (sqrt (/ -1 n))) (* (* (cbrt n) (cbrt n)) (/ PI (* (cbrt -1) (cbrt -1)))) (* (sqrt n) (/ PI (* (cbrt -1) (cbrt -1)))) (/ PI (* (cbrt -1) (cbrt -1))) (* (* (cbrt n) (cbrt n)) (/ PI (sqrt -1))) (* (sqrt n) (/ PI (sqrt -1))) (/ PI (sqrt -1)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) PI PI (/ PI -1) (/ -1 (* n (cbrt PI))) (/ -1 (* n (sqrt PI))) (/ -1 (* PI n)) (/ PI -1) (* 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 n) (sqrt PI)) (* (sqrt n) (sqrt PI)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) PI (* n (cbrt PI)) (* n (sqrt PI)) (* PI n) (pow (* PI (* 2.0 n)) 0.5) (pow (* PI (* 2.0 n)) 0.5) (pow (* -2.0 (* PI (neg n))) 0.5) (+ 1 (+ (* (* k k) (* (* (log n) (log (* PI 2.0))) 0.25)) (+ (* 0.5 (* (log (* PI (* 2.0 n))) k)) (* 0.125 (* (* k k) (+ (pow (log n) 2) (pow (log (* PI 2.0)) 2))))))) (pow (* PI (* 2.0 n)) (* 0.5 k)) (pow (* -2.0 (* PI (neg n))) (* 0.5 k)) (* PI (neg n)) (* PI (neg n)) (* PI (neg n)) (* PI n) (* PI n) (* PI n) 1.965 * * * [progress]: adding candidates to table 2.302 * [progress]: [Phase 3 of 3] Extracting. 2.302 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.304 * * * [regime-changes]: Trying 2 branch expressions: (n k) 2.304 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 2.372 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 2.439 * * * [regime]: Found split indices: #