41.736 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.481 * * * [progress]: [2/2] Setting up program. 0.487 * [progress]: [Phase 2 of 3] Improving. 0.488 * [simplify]: Simplifying using # : (*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) 0.548 * * [simplify]: iteration 0 : 4644 enodes (cost 22 ) 0.548 * * [simplify]: iteration 1 : 4644 enodes (cost 22 ) 0.549 * [simplify]: Simplified to: (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) 0.556 * * [progress]: iteration 1 / 4 0.556 * * * [progress]: picking best candidate 0.567 * * * * [pick]: Picked # 0.567 * * * [progress]: localizing error 0.591 * * * [progress]: generating rewritten candidates 0.591 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.602 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.606 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.611 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.630 * * * [progress]: generating series expansions 0.630 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.631 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.631 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.631 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.631 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.631 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.631 * [taylor]: Taking taylor expansion of 1/2 in k 0.631 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.631 * [taylor]: Taking taylor expansion of 1 in k 0.631 * [taylor]: Taking taylor expansion of k in k 0.631 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.631 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.631 * [taylor]: Taking taylor expansion of 2 in k 0.631 * [taylor]: Taking taylor expansion of (* n PI) in k 0.631 * [taylor]: Taking taylor expansion of n in k 0.631 * [taylor]: Taking taylor expansion of PI in k 0.633 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.633 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.633 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.633 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.633 * [taylor]: Taking taylor expansion of 1/2 in n 0.633 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.633 * [taylor]: Taking taylor expansion of 1 in n 0.633 * [taylor]: Taking taylor expansion of k in n 0.633 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.633 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.633 * [taylor]: Taking taylor expansion of 2 in n 0.633 * [taylor]: Taking taylor expansion of (* n PI) in n 0.633 * [taylor]: Taking taylor expansion of n in n 0.633 * [taylor]: Taking taylor expansion of PI in n 0.635 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.635 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.635 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.635 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.635 * [taylor]: Taking taylor expansion of 1/2 in n 0.635 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.635 * [taylor]: Taking taylor expansion of 1 in n 0.635 * [taylor]: Taking taylor expansion of k in n 0.635 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.635 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.635 * [taylor]: Taking taylor expansion of 2 in n 0.635 * [taylor]: Taking taylor expansion of (* n PI) in n 0.635 * [taylor]: Taking taylor expansion of n in n 0.635 * [taylor]: Taking taylor expansion of PI in n 0.638 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k)))) in k 0.638 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k))) in k 0.638 * [taylor]: Taking taylor expansion of 1/2 in k 0.638 * [taylor]: Taking taylor expansion of (* (+ (log (* 2 PI)) (log n)) (- 1 k)) in k 0.638 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 0.638 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.638 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.638 * [taylor]: Taking taylor expansion of 2 in k 0.638 * [taylor]: Taking taylor expansion of PI in k 0.638 * [taylor]: Taking taylor expansion of (log n) in k 0.638 * [taylor]: Taking taylor expansion of n in k 0.638 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.638 * [taylor]: Taking taylor expansion of 1 in k 0.638 * [taylor]: Taking taylor expansion of k in k 0.643 * [taylor]: Taking taylor expansion of 0 in k 0.651 * [taylor]: Taking taylor expansion of 0 in k 0.667 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.667 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.667 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.667 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.667 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.667 * [taylor]: Taking taylor expansion of 1/2 in k 0.667 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.667 * [taylor]: Taking taylor expansion of 1 in k 0.667 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.667 * [taylor]: Taking taylor expansion of k in k 0.668 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.668 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.668 * [taylor]: Taking taylor expansion of 2 in k 0.668 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.668 * [taylor]: Taking taylor expansion of PI in k 0.668 * [taylor]: Taking taylor expansion of n in k 0.669 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.669 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.669 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.669 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.669 * [taylor]: Taking taylor expansion of 1/2 in n 0.669 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.669 * [taylor]: Taking taylor expansion of 1 in n 0.669 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.669 * [taylor]: Taking taylor expansion of k in n 0.670 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.670 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.670 * [taylor]: Taking taylor expansion of 2 in n 0.670 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.670 * [taylor]: Taking taylor expansion of PI in n 0.670 * [taylor]: Taking taylor expansion of n in n 0.672 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.672 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.672 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.672 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.672 * [taylor]: Taking taylor expansion of 1/2 in n 0.672 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.672 * [taylor]: Taking taylor expansion of 1 in n 0.672 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.672 * [taylor]: Taking taylor expansion of k in n 0.672 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.672 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.672 * [taylor]: Taking taylor expansion of 2 in n 0.672 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.672 * [taylor]: Taking taylor expansion of PI in n 0.672 * [taylor]: Taking taylor expansion of n in n 0.675 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.675 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.675 * [taylor]: Taking taylor expansion of 1/2 in k 0.675 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.675 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.675 * [taylor]: Taking taylor expansion of 1 in k 0.675 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.675 * [taylor]: Taking taylor expansion of k in k 0.675 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.675 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.675 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.675 * [taylor]: Taking taylor expansion of 2 in k 0.675 * [taylor]: Taking taylor expansion of PI in k 0.675 * [taylor]: Taking taylor expansion of (log n) in k 0.675 * [taylor]: Taking taylor expansion of n in k 0.681 * [taylor]: Taking taylor expansion of 0 in k 0.686 * [taylor]: Taking taylor expansion of 0 in k 0.691 * [taylor]: Taking taylor expansion of 0 in k 0.693 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.694 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.694 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.694 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.694 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.694 * [taylor]: Taking taylor expansion of 1/2 in k 0.694 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.694 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.694 * [taylor]: Taking taylor expansion of k in k 0.694 * [taylor]: Taking taylor expansion of 1 in k 0.694 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.694 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.694 * [taylor]: Taking taylor expansion of -2 in k 0.694 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.694 * [taylor]: Taking taylor expansion of PI in k 0.694 * [taylor]: Taking taylor expansion of n in k 0.695 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.695 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.695 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.695 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.695 * [taylor]: Taking taylor expansion of 1/2 in n 0.695 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.695 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.695 * [taylor]: Taking taylor expansion of k in n 0.695 * [taylor]: Taking taylor expansion of 1 in n 0.695 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.695 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.695 * [taylor]: Taking taylor expansion of -2 in n 0.695 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.695 * [taylor]: Taking taylor expansion of PI in n 0.695 * [taylor]: Taking taylor expansion of n in n 0.698 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.698 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.698 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.698 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.698 * [taylor]: Taking taylor expansion of 1/2 in n 0.698 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.698 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.698 * [taylor]: Taking taylor expansion of k in n 0.698 * [taylor]: Taking taylor expansion of 1 in n 0.698 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.698 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.698 * [taylor]: Taking taylor expansion of -2 in n 0.698 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.698 * [taylor]: Taking taylor expansion of PI in n 0.698 * [taylor]: Taking taylor expansion of n in n 0.700 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.700 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.700 * [taylor]: Taking taylor expansion of 1/2 in k 0.700 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.700 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.700 * [taylor]: Taking taylor expansion of k in k 0.700 * [taylor]: Taking taylor expansion of 1 in k 0.700 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.700 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.700 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.700 * [taylor]: Taking taylor expansion of -2 in k 0.700 * [taylor]: Taking taylor expansion of PI in k 0.700 * [taylor]: Taking taylor expansion of (log n) in k 0.700 * [taylor]: Taking taylor expansion of n in k 0.706 * [taylor]: Taking taylor expansion of 0 in k 0.711 * [taylor]: Taking taylor expansion of 0 in k 0.716 * [taylor]: Taking taylor expansion of 0 in k 0.717 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.717 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 0.717 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.717 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.717 * [taylor]: Taking taylor expansion of k in k 0.718 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.718 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.718 * [taylor]: Taking taylor expansion of k in k 0.721 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 0.721 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.721 * [taylor]: Taking taylor expansion of k in k 0.721 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.721 * [taylor]: Taking taylor expansion of k in k 0.724 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 0.724 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 0.724 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.724 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.724 * [taylor]: Taking taylor expansion of -1 in k 0.724 * [taylor]: Taking taylor expansion of k in k 0.724 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 0.724 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.724 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.724 * [taylor]: Taking taylor expansion of -1 in k 0.724 * [taylor]: Taking taylor expansion of k in k 0.747 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.748 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.748 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.748 * [taylor]: Taking taylor expansion of 2 in n 0.748 * [taylor]: Taking taylor expansion of (* n PI) in n 0.748 * [taylor]: Taking taylor expansion of n in n 0.748 * [taylor]: Taking taylor expansion of PI in n 0.748 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.748 * [taylor]: Taking taylor expansion of 2 in n 0.748 * [taylor]: Taking taylor expansion of (* n PI) in n 0.748 * [taylor]: Taking taylor expansion of n in n 0.748 * [taylor]: Taking taylor expansion of PI in n 0.754 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.754 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.754 * [taylor]: Taking taylor expansion of 2 in n 0.754 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.754 * [taylor]: Taking taylor expansion of PI in n 0.754 * [taylor]: Taking taylor expansion of n in n 0.754 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.754 * [taylor]: Taking taylor expansion of 2 in n 0.754 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.754 * [taylor]: Taking taylor expansion of PI in n 0.754 * [taylor]: Taking taylor expansion of n in n 0.761 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.761 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.761 * [taylor]: Taking taylor expansion of -2 in n 0.761 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.761 * [taylor]: Taking taylor expansion of PI in n 0.761 * [taylor]: Taking taylor expansion of n in n 0.761 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.761 * [taylor]: Taking taylor expansion of -2 in n 0.761 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.761 * [taylor]: Taking taylor expansion of PI in n 0.761 * [taylor]: Taking taylor expansion of n in n 0.767 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.768 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in (k n) around 0 0.768 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n 0.768 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.768 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.768 * [taylor]: Taking taylor expansion of k in n 0.769 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.769 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.769 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.769 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.769 * [taylor]: Taking taylor expansion of 1/2 in n 0.769 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.769 * [taylor]: Taking taylor expansion of 1 in n 0.769 * [taylor]: Taking taylor expansion of k in n 0.769 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.769 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.769 * [taylor]: Taking taylor expansion of 2 in n 0.769 * [taylor]: Taking taylor expansion of (* n PI) in n 0.769 * [taylor]: Taking taylor expansion of n in n 0.769 * [taylor]: Taking taylor expansion of PI in n 0.771 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k 0.771 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.771 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.771 * [taylor]: Taking taylor expansion of k in k 0.771 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.771 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.771 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.771 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.771 * [taylor]: Taking taylor expansion of 1/2 in k 0.771 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.771 * [taylor]: Taking taylor expansion of 1 in k 0.772 * [taylor]: Taking taylor expansion of k in k 0.772 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.772 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.772 * [taylor]: Taking taylor expansion of 2 in k 0.772 * [taylor]: Taking taylor expansion of (* n PI) in k 0.772 * [taylor]: Taking taylor expansion of n in k 0.772 * [taylor]: Taking taylor expansion of PI in k 0.772 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k 0.773 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.773 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.773 * [taylor]: Taking taylor expansion of k in k 0.773 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.773 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.773 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.773 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.773 * [taylor]: Taking taylor expansion of 1/2 in k 0.773 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.773 * [taylor]: Taking taylor expansion of 1 in k 0.773 * [taylor]: Taking taylor expansion of k in k 0.773 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.773 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.773 * [taylor]: Taking taylor expansion of 2 in k 0.773 * [taylor]: Taking taylor expansion of (* n PI) in k 0.773 * [taylor]: Taking taylor expansion of n in k 0.773 * [taylor]: Taking taylor expansion of PI in k 0.774 * [taylor]: Taking taylor expansion of 0 in n 0.777 * [taylor]: Taking taylor expansion of (* (* NAN (sqrt 2)) (sqrt (* n PI))) in n 0.777 * [taylor]: Taking taylor expansion of (* NAN (sqrt 2)) in n 0.777 * [taylor]: Taking taylor expansion of NAN in n 0.777 * [taylor]: Taking taylor expansion of (sqrt 2) in n 0.777 * [taylor]: Taking taylor expansion of 2 in n 0.778 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 0.778 * [taylor]: Taking taylor expansion of (* n PI) in n 0.778 * [taylor]: Taking taylor expansion of n in n 0.778 * [taylor]: Taking taylor expansion of PI in n 0.785 * [taylor]: Taking taylor expansion of (- (* (sqrt (* PI n)) (* (pow NAN 3) (sqrt 2))) (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) NAN)) (sqrt (* n PI))))) in n 0.785 * [taylor]: Taking taylor expansion of (* (sqrt (* PI n)) (* (pow NAN 3) (sqrt 2))) in n 0.785 * [taylor]: Taking taylor expansion of (sqrt (* PI n)) in n 0.785 * [taylor]: Taking taylor expansion of (* PI n) in n 0.785 * [taylor]: Taking taylor expansion of PI in n 0.785 * [taylor]: Taking taylor expansion of n in n 0.785 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (sqrt 2)) in n 0.785 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.785 * [taylor]: Taking taylor expansion of NAN in n 0.785 * [taylor]: Taking taylor expansion of (sqrt 2) in n 0.785 * [taylor]: Taking taylor expansion of 2 in n 0.786 * [taylor]: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) NAN)) (sqrt (* n PI)))) in n 0.786 * [taylor]: Taking taylor expansion of 1/2 in n 0.786 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) NAN)) (sqrt (* n PI))) in n 0.786 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) NAN)) in n 0.786 * [taylor]: Taking taylor expansion of (sqrt 2) in n 0.786 * [taylor]: Taking taylor expansion of 2 in n 0.786 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) NAN) in n 0.786 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.786 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.786 * [taylor]: Taking taylor expansion of 2 in n 0.786 * [taylor]: Taking taylor expansion of (* n PI) in n 0.786 * [taylor]: Taking taylor expansion of n in n 0.786 * [taylor]: Taking taylor expansion of PI in n 0.786 * [taylor]: Taking taylor expansion of NAN in n 0.786 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 0.786 * [taylor]: Taking taylor expansion of (* n PI) in n 0.787 * [taylor]: Taking taylor expansion of n in n 0.787 * [taylor]: Taking taylor expansion of PI in n 0.800 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) NAN)) (sqrt (* n PI)))) (* (* (sqrt 2) (pow NAN 5)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow NAN 3))) (sqrt (* n PI))))) in n 0.801 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) NAN)) (sqrt (* n PI)))) (* (* (sqrt 2) (pow NAN 5)) (sqrt (* n PI)))) in n 0.801 * [taylor]: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) NAN)) (sqrt (* n PI)))) in n 0.801 * [taylor]: Taking taylor expansion of 1/8 in n 0.801 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) NAN)) (sqrt (* n PI))) in n 0.801 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) NAN)) in n 0.801 * [taylor]: Taking taylor expansion of (sqrt 2) in n 0.801 * [taylor]: Taking taylor expansion of 2 in n 0.801 * [taylor]: Taking taylor expansion of (* (pow (log (* 2 (* n PI))) 2) NAN) in n 0.801 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 0.801 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.801 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.801 * [taylor]: Taking taylor expansion of 2 in n 0.801 * [taylor]: Taking taylor expansion of (* n PI) in n 0.801 * [taylor]: Taking taylor expansion of n in n 0.801 * [taylor]: Taking taylor expansion of PI in n 0.802 * [taylor]: Taking taylor expansion of NAN in n 0.802 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 0.802 * [taylor]: Taking taylor expansion of (* n PI) in n 0.802 * [taylor]: Taking taylor expansion of n in n 0.802 * [taylor]: Taking taylor expansion of PI in n 0.802 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow NAN 5)) (sqrt (* n PI))) in n 0.802 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow NAN 5)) in n 0.802 * [taylor]: Taking taylor expansion of (sqrt 2) in n 0.802 * [taylor]: Taking taylor expansion of 2 in n 0.803 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.803 * [taylor]: Taking taylor expansion of NAN in n 0.803 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 0.803 * [taylor]: Taking taylor expansion of (* n PI) in n 0.803 * [taylor]: Taking taylor expansion of n in n 0.803 * [taylor]: Taking taylor expansion of PI in n 0.803 * [taylor]: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow NAN 3))) (sqrt (* n PI)))) in n 0.803 * [taylor]: Taking taylor expansion of 1/2 in n 0.803 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow NAN 3))) (sqrt (* n PI))) in n 0.803 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow NAN 3))) in n 0.803 * [taylor]: Taking taylor expansion of (sqrt 2) in n 0.803 * [taylor]: Taking taylor expansion of 2 in n 0.803 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow NAN 3)) in n 0.803 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.803 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.804 * [taylor]: Taking taylor expansion of 2 in n 0.804 * [taylor]: Taking taylor expansion of (* n PI) in n 0.804 * [taylor]: Taking taylor expansion of n in n 0.804 * [taylor]: Taking taylor expansion of PI in n 0.804 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.804 * [taylor]: Taking taylor expansion of NAN in n 0.804 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 0.804 * [taylor]: Taking taylor expansion of (* n PI) in n 0.804 * [taylor]: Taking taylor expansion of n in n 0.804 * [taylor]: Taking taylor expansion of PI in n 0.828 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in (k n) around 0 0.828 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in n 0.828 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.829 * [taylor]: Taking taylor expansion of k in n 0.829 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.829 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.829 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.829 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.829 * [taylor]: Taking taylor expansion of 1/2 in n 0.829 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.829 * [taylor]: Taking taylor expansion of 1 in n 0.829 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.829 * [taylor]: Taking taylor expansion of k in n 0.829 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.829 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.829 * [taylor]: Taking taylor expansion of 2 in n 0.829 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.829 * [taylor]: Taking taylor expansion of PI in n 0.829 * [taylor]: Taking taylor expansion of n in n 0.831 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k 0.831 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.831 * [taylor]: Taking taylor expansion of k in k 0.831 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.831 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.831 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.831 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.831 * [taylor]: Taking taylor expansion of 1/2 in k 0.831 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.831 * [taylor]: Taking taylor expansion of 1 in k 0.831 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.831 * [taylor]: Taking taylor expansion of k in k 0.832 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.832 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.832 * [taylor]: Taking taylor expansion of 2 in k 0.832 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.832 * [taylor]: Taking taylor expansion of PI in k 0.832 * [taylor]: Taking taylor expansion of n in k 0.833 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k 0.833 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.833 * [taylor]: Taking taylor expansion of k in k 0.833 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.833 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.833 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.833 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.833 * [taylor]: Taking taylor expansion of 1/2 in k 0.833 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.833 * [taylor]: Taking taylor expansion of 1 in k 0.833 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.833 * [taylor]: Taking taylor expansion of k in k 0.833 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.833 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.833 * [taylor]: Taking taylor expansion of 2 in k 0.833 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.833 * [taylor]: Taking taylor expansion of PI in k 0.833 * [taylor]: Taking taylor expansion of n in k 0.835 * [taylor]: Taking taylor expansion of 0 in n 0.836 * [taylor]: Taking taylor expansion of (* NAN (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 0.836 * [taylor]: Taking taylor expansion of NAN in n 0.836 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 0.836 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 0.836 * [taylor]: Taking taylor expansion of 1/2 in n 0.836 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 0.836 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.836 * [taylor]: Taking taylor expansion of 1 in n 0.836 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.836 * [taylor]: Taking taylor expansion of k in n 0.836 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.836 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.836 * [taylor]: Taking taylor expansion of 2 in n 0.836 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.836 * [taylor]: Taking taylor expansion of PI in n 0.836 * [taylor]: Taking taylor expansion of n in n 0.840 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 0.841 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.841 * [taylor]: Taking taylor expansion of NAN in n 0.841 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 0.841 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 0.841 * [taylor]: Taking taylor expansion of 1/2 in n 0.841 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 0.841 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.841 * [taylor]: Taking taylor expansion of 1 in n 0.841 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.841 * [taylor]: Taking taylor expansion of k in n 0.841 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.841 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.841 * [taylor]: Taking taylor expansion of 2 in n 0.841 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.841 * [taylor]: Taking taylor expansion of PI in n 0.841 * [taylor]: Taking taylor expansion of n in n 0.850 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 0.850 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.850 * [taylor]: Taking taylor expansion of NAN in n 0.850 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 0.850 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 0.850 * [taylor]: Taking taylor expansion of 1/2 in n 0.850 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 0.850 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.850 * [taylor]: Taking taylor expansion of 1 in n 0.850 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.850 * [taylor]: Taking taylor expansion of k in n 0.850 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.850 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.850 * [taylor]: Taking taylor expansion of 2 in n 0.850 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.850 * [taylor]: Taking taylor expansion of PI in n 0.851 * [taylor]: Taking taylor expansion of n in n 0.860 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0 0.860 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 0.860 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.860 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.860 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.860 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.860 * [taylor]: Taking taylor expansion of 1/2 in n 0.860 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.860 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.860 * [taylor]: Taking taylor expansion of k in n 0.860 * [taylor]: Taking taylor expansion of 1 in n 0.860 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.860 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.860 * [taylor]: Taking taylor expansion of -2 in n 0.860 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.860 * [taylor]: Taking taylor expansion of PI in n 0.860 * [taylor]: Taking taylor expansion of n in n 0.862 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.862 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.862 * [taylor]: Taking taylor expansion of -1 in n 0.862 * [taylor]: Taking taylor expansion of k in n 0.863 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 0.863 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.863 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.863 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.863 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.863 * [taylor]: Taking taylor expansion of 1/2 in k 0.864 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.864 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.864 * [taylor]: Taking taylor expansion of k in k 0.864 * [taylor]: Taking taylor expansion of 1 in k 0.864 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.864 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.864 * [taylor]: Taking taylor expansion of -2 in k 0.864 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.864 * [taylor]: Taking taylor expansion of PI in k 0.864 * [taylor]: Taking taylor expansion of n in k 0.865 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.865 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.865 * [taylor]: Taking taylor expansion of -1 in k 0.865 * [taylor]: Taking taylor expansion of k in k 0.865 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 0.866 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.866 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.866 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.866 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.866 * [taylor]: Taking taylor expansion of 1/2 in k 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.866 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.866 * [taylor]: Taking taylor expansion of k in k 0.866 * [taylor]: Taking taylor expansion of 1 in k 0.866 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.866 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.866 * [taylor]: Taking taylor expansion of -2 in k 0.866 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.866 * [taylor]: Taking taylor expansion of PI in k 0.866 * [taylor]: Taking taylor expansion of n in k 0.867 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.867 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.867 * [taylor]: Taking taylor expansion of -1 in k 0.867 * [taylor]: Taking taylor expansion of k in k 0.868 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* -2 (/ PI n)))))) NAN) in n 0.868 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* -2 (/ PI n)))))) in n 0.868 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (* -2 (/ PI n))))) in n 0.868 * [taylor]: Taking taylor expansion of 1/2 in n 0.868 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* -2 (/ PI n)))) in n 0.868 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.868 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.868 * [taylor]: Taking taylor expansion of k in n 0.868 * [taylor]: Taking taylor expansion of 1 in n 0.868 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.868 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.868 * [taylor]: Taking taylor expansion of -2 in n 0.868 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.868 * [taylor]: Taking taylor expansion of PI in n 0.868 * [taylor]: Taking taylor expansion of n in n 0.870 * [taylor]: Taking taylor expansion of NAN in n 0.873 * [taylor]: Taking taylor expansion of (neg (* NAN (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* -2 (/ PI n)))))))) in n 0.873 * [taylor]: Taking taylor expansion of (* NAN (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* -2 (/ PI n))))))) in n 0.873 * [taylor]: Taking taylor expansion of NAN in n 0.873 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* -2 (/ PI n)))))) in n 0.873 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (* -2 (/ PI n))))) in n 0.873 * [taylor]: Taking taylor expansion of 1/2 in n 0.873 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* -2 (/ PI n)))) in n 0.873 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.873 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.873 * [taylor]: Taking taylor expansion of k in n 0.873 * [taylor]: Taking taylor expansion of 1 in n 0.873 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.873 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.873 * [taylor]: Taking taylor expansion of -2 in n 0.873 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.873 * [taylor]: Taking taylor expansion of PI in n 0.873 * [taylor]: Taking taylor expansion of n in n 0.883 * [taylor]: Taking taylor expansion of 0 in n 0.896 * [taylor]: Taking taylor expansion of 0 in n 0.899 * * * [progress]: simplifying candidates 0.903 * [simplify]: Simplifying using # : (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (exp.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (log.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (pow.f64 n (/.f64 (-.f64 1 k) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1 k)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 (sqrt.f64 1) (sqrt.f64 k)) 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 (sqrt.f64 1) (sqrt.f64 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 (sqrt.f64 1) (sqrt.f64 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 (-.f64 1 k)) 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 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(*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 (-.f64 1 k) 2))) (+.f64 (-.f64 (log.f64 1) (log.f64 (sqrt.f64 k))) (log.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (+.f64 (-.f64 (log.f64 1) (log.f64 (sqrt.f64 k))) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 (-.f64 1 k) 2))) (+.f64 (-.f64 (log.f64 1) (log.f64 (sqrt.f64 k))) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 (-.f64 1 k) 2))) (+.f64 (-.f64 (log.f64 1) (log.f64 (sqrt.f64 k))) (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (/.f64 (-.f64 1 k) 2))) (+.f64 (-.f64 (log.f64 1) (log.f64 (sqrt.f64 k))) (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 (-.f64 1 k) 2))) (+.f64 (neg.f64 (log.f64 (sqrt.f64 k))) (log.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (+.f64 (neg.f64 (log.f64 (sqrt.f64 k))) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 (-.f64 1 k) 2))) (+.f64 (neg.f64 (log.f64 (sqrt.f64 k))) (*.f64 (log.f64 (*.f64 (*.f64 2 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(log.f64 (*.f64 2 PI.f64)) (log.f64 n)))) (log.f64 (*.f64 2 PI.f64))))))) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))) (-.f64 1 k)))) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n))) (-.f64 1 k)))) (+.f64 (*.f64 (pow.f64 k 2) (pow.f64 NAN.f64 5)) (+.f64 NAN.f64 (*.f64 k (pow.f64 NAN.f64 3)))) (+.f64 (/.f64 (pow.f64 NAN.f64 5) (pow.f64 k 3)) (+.f64 (/.f64 (pow.f64 NAN.f64 3) (pow.f64 k 2)) (/.f64 NAN.f64 k))) (+.f64 (/.f64 NAN.f64 k) (/.f64 1 NAN.f64)) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (-.f64 (+.f64 (*.f64 PI.f64 (*.f64 (pow.f64 NAN.f64 2) (*.f64 n (sqrt.f64 2)))) (+.f64 (*.f64 (pow.f64 NAN.f64 4) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 n 2) (pow.f64 PI.f64 2)))) (*.f64 k (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 NAN.f64 4) (*.f64 n PI.f64)))))) (+.f64 (*.f64 1/2 (*.f64 k (*.f64 n (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (pow.f64 NAN.f64 2) (*.f64 (sqrt.f64 2) PI.f64)))))) (*.f64 1/2 (*.f64 k (*.f64 n (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 NAN.f64 2) (*.f64 PI.f64 (log.f64 n))))))))) (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 3) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))) (-.f64 1 k))))) (pow.f64 k 2)) (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 5) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))) (-.f64 1 k))))) (pow.f64 k 3)) (/.f64 (*.f64 NAN.f64 (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))) (-.f64 1 k))))) k))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n))) (-.f64 1 k)))) NAN.f64) k) (/.f64 (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n))) (-.f64 1 k)))) NAN.f64)) 0.957 * * [simplify]: iteration 0 : 5322 enodes (cost 3722 ) 0.974 * [simplify]: Simplified to: (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 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