14.803 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.485 * * * [progress]: [2/2] Setting up program. 0.489 * [progress]: [Phase 2 of 3] Improving. 0.489 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.539 * * [simplify]: iteration 0 : 4987 enodes (cost 16 ) 0.539 * * [simplify]: iteration 1 : 4987 enodes (cost 16 ) 0.539 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.543 * * [progress]: iteration 1 / 4 0.543 * * * [progress]: picking best candidate 0.546 * * * * [pick]: Picked # 0.546 * * * [progress]: localizing error 0.560 * * * [progress]: generating rewritten candidates 0.560 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.564 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.569 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.580 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.599 * * * [progress]: generating series expansions 0.600 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.600 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.600 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.600 * [taylor]: Taking taylor expansion of 1.0 in k 0.600 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.600 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.600 * [taylor]: Taking taylor expansion of k in k 0.600 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.600 * [taylor]: Taking taylor expansion of 1.0 in k 0.600 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.600 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.600 * [taylor]: Taking taylor expansion of k in k 0.601 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.601 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.601 * [taylor]: Taking taylor expansion of 1.0 in k 0.601 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.601 * [taylor]: Taking taylor expansion of k in k 0.601 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.601 * [taylor]: Taking taylor expansion of 1.0 in k 0.601 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.601 * [taylor]: Taking taylor expansion of k in k 0.602 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.602 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.602 * [taylor]: Taking taylor expansion of 1.0 in k 0.602 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.603 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.603 * [taylor]: Taking taylor expansion of -1 in k 0.603 * [taylor]: Taking taylor expansion of k in k 0.603 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.603 * [taylor]: Taking taylor expansion of 1.0 in k 0.603 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.603 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.603 * [taylor]: Taking taylor expansion of -1 in k 0.603 * [taylor]: Taking taylor expansion of k in k 0.608 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.608 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.608 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.608 * [taylor]: Taking taylor expansion of 2.0 in n 0.608 * [taylor]: Taking taylor expansion of (* n PI) in n 0.608 * [taylor]: Taking taylor expansion of n in n 0.608 * [taylor]: Taking taylor expansion of PI in n 0.608 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.608 * [taylor]: Taking taylor expansion of 2.0 in n 0.608 * [taylor]: Taking taylor expansion of (* n PI) in n 0.608 * [taylor]: Taking taylor expansion of n in n 0.608 * [taylor]: Taking taylor expansion of PI in n 0.609 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.609 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.609 * [taylor]: Taking taylor expansion of 2.0 in n 0.609 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.609 * [taylor]: Taking taylor expansion of PI in n 0.609 * [taylor]: Taking taylor expansion of n in n 0.609 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.609 * [taylor]: Taking taylor expansion of 2.0 in n 0.609 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.609 * [taylor]: Taking taylor expansion of PI in n 0.609 * [taylor]: Taking taylor expansion of n in n 0.610 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.610 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.610 * [taylor]: Taking taylor expansion of -2.0 in n 0.610 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.610 * [taylor]: Taking taylor expansion of PI in n 0.610 * [taylor]: Taking taylor expansion of n in n 0.610 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.610 * [taylor]: Taking taylor expansion of -2.0 in n 0.610 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.610 * [taylor]: Taking taylor expansion of PI in n 0.610 * [taylor]: Taking taylor expansion of n in n 0.611 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.611 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 0.611 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.611 * [taylor]: Taking taylor expansion of 1.0 in n 0.611 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.611 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) 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 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.611 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.611 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.611 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.611 * [taylor]: Taking taylor expansion of 0.5 in n 0.612 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.612 * [taylor]: Taking taylor expansion of 1.0 in n 0.612 * [taylor]: Taking taylor expansion of k in n 0.612 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.612 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.612 * [taylor]: Taking taylor expansion of 2.0 in n 0.612 * [taylor]: Taking taylor expansion of (* n PI) in n 0.612 * [taylor]: Taking taylor expansion of n in n 0.612 * [taylor]: Taking taylor expansion of PI in n 0.612 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.612 * [taylor]: Taking taylor expansion of 1.0 in k 0.612 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.612 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) 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 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.612 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.612 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.612 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.612 * [taylor]: Taking taylor expansion of 0.5 in k 0.612 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.612 * [taylor]: Taking taylor expansion of 1.0 in k 0.612 * [taylor]: Taking taylor expansion of k in k 0.612 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.612 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.612 * [taylor]: Taking taylor expansion of 2.0 in k 0.612 * [taylor]: Taking taylor expansion of (* n PI) in k 0.612 * [taylor]: Taking taylor expansion of n in k 0.612 * [taylor]: Taking taylor expansion of PI in k 0.613 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.613 * [taylor]: Taking taylor expansion of 1.0 in k 0.613 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.613 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.613 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.613 * [taylor]: Taking taylor expansion of k in k 0.613 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.613 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.613 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.613 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.613 * [taylor]: Taking taylor expansion of 0.5 in k 0.613 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.613 * [taylor]: Taking taylor expansion of 1.0 in k 0.613 * [taylor]: Taking taylor expansion of k in k 0.613 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.613 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.613 * [taylor]: Taking taylor expansion of 2.0 in k 0.613 * [taylor]: Taking taylor expansion of (* n PI) in k 0.613 * [taylor]: Taking taylor expansion of n in k 0.613 * [taylor]: Taking taylor expansion of PI in k 0.613 * [taylor]: Taking taylor expansion of 0 in n 0.614 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.614 * [taylor]: Taking taylor expansion of 1.0 in n 0.614 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.614 * [taylor]: Taking taylor expansion of NAN in n 0.614 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.614 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.614 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.614 * [taylor]: Taking taylor expansion of 0.5 in n 0.614 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.615 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.615 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.615 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.615 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.615 * [taylor]: Taking taylor expansion of 1.0 in n 0.615 * [taylor]: Taking taylor expansion of (log PI) in n 0.615 * [taylor]: Taking taylor expansion of PI in n 0.615 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.615 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.615 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.615 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.615 * [taylor]: Taking taylor expansion of 1.0 in n 0.615 * [taylor]: Taking taylor expansion of (log n) in n 0.615 * [taylor]: Taking taylor expansion of n in n 0.615 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.615 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.615 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.615 * [taylor]: Taking taylor expansion of 1.0 in n 0.615 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.615 * [taylor]: Taking taylor expansion of 2.0 in n 0.619 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 0.619 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) in n 0.619 * [taylor]: Taking taylor expansion of 1.0 in n 0.619 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) in n 0.619 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.619 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.619 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.619 * [taylor]: Taking taylor expansion of 0.5 in n 0.619 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.619 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.619 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.619 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.619 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.619 * [taylor]: Taking taylor expansion of 1.0 in n 0.619 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.619 * [taylor]: Taking taylor expansion of 2.0 in n 0.619 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.619 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.619 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.619 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.620 * [taylor]: Taking taylor expansion of 1.0 in n 0.620 * [taylor]: Taking taylor expansion of (log n) in n 0.620 * [taylor]: Taking taylor expansion of n in n 0.620 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.620 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.620 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.620 * [taylor]: Taking taylor expansion of 1.0 in n 0.620 * [taylor]: Taking taylor expansion of (log PI) in n 0.620 * [taylor]: Taking taylor expansion of PI in n 0.621 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.621 * [taylor]: Taking taylor expansion of NAN in n 0.621 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.621 * [taylor]: Taking taylor expansion of 0.5 in n 0.621 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.621 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 0.621 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.621 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.621 * [taylor]: Taking taylor expansion of 2.0 in n 0.621 * [taylor]: Taking taylor expansion of (* n PI) in n 0.621 * [taylor]: Taking taylor expansion of n in n 0.621 * [taylor]: Taking taylor expansion of PI in n 0.621 * [taylor]: Taking taylor expansion of NAN in n 0.621 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.621 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.621 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.621 * [taylor]: Taking taylor expansion of 0.5 in n 0.621 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.621 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.621 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.621 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.621 * [taylor]: Taking taylor expansion of 1.0 in n 0.621 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.621 * [taylor]: Taking taylor expansion of 2.0 in n 0.621 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.621 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.621 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.621 * [taylor]: Taking taylor expansion of 1.0 in n 0.621 * [taylor]: Taking taylor expansion of (log n) in n 0.621 * [taylor]: Taking taylor expansion of n in n 0.622 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.622 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.622 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.622 * [taylor]: Taking taylor expansion of 1.0 in n 0.622 * [taylor]: Taking taylor expansion of (log PI) in n 0.622 * [taylor]: Taking taylor expansion of PI in n 0.632 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 0.633 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) in n 0.633 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.633 * [taylor]: Taking taylor expansion of 0.125 in n 0.633 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.633 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 0.633 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.633 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.633 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.633 * [taylor]: Taking taylor expansion of 2.0 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 0.633 * [taylor]: Taking taylor expansion of NAN in n 0.633 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.633 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.633 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.633 * [taylor]: Taking taylor expansion of 0.5 in n 0.633 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.633 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.633 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.633 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.633 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.633 * [taylor]: Taking taylor expansion of 1.0 in n 0.633 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.633 * [taylor]: Taking taylor expansion of 2.0 in n 0.633 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.633 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.633 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.633 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.633 * [taylor]: Taking taylor expansion of 1.0 in n 0.633 * [taylor]: Taking taylor expansion of (log n) in n 0.633 * [taylor]: Taking taylor expansion of n in n 0.634 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.634 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.634 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.634 * [taylor]: Taking taylor expansion of 1.0 in n 0.634 * [taylor]: Taking taylor expansion of (log PI) in n 0.634 * [taylor]: Taking taylor expansion of PI in n 0.634 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5))) in n 0.635 * [taylor]: Taking taylor expansion of 1.0 in n 0.635 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)) in n 0.635 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.635 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.635 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.635 * [taylor]: Taking taylor expansion of 0.5 in n 0.635 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.635 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.635 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.635 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.635 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.635 * [taylor]: Taking taylor expansion of 1.0 in n 0.635 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.635 * [taylor]: Taking taylor expansion of 2.0 in n 0.635 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.635 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.635 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.635 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.635 * [taylor]: Taking taylor expansion of 1.0 in n 0.635 * [taylor]: Taking taylor expansion of (log n) in n 0.635 * [taylor]: Taking taylor expansion of n in n 0.635 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.635 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.635 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.635 * [taylor]: Taking taylor expansion of 1.0 in n 0.635 * [taylor]: Taking taylor expansion of (log PI) in n 0.635 * [taylor]: Taking taylor expansion of PI in n 0.636 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.636 * [taylor]: Taking taylor expansion of NAN in n 0.636 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.636 * [taylor]: Taking taylor expansion of 0.5 in n 0.636 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.636 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 0.636 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.636 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.636 * [taylor]: Taking taylor expansion of 2.0 in n 0.636 * [taylor]: Taking taylor expansion of (* n PI) in n 0.636 * [taylor]: Taking taylor expansion of n in n 0.636 * [taylor]: Taking taylor expansion of PI in n 0.636 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.636 * [taylor]: Taking taylor expansion of NAN in n 0.636 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.636 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.636 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.637 * [taylor]: Taking taylor expansion of 0.5 in n 0.637 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.637 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.637 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.637 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.637 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.637 * [taylor]: Taking taylor expansion of 1.0 in n 0.637 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.637 * [taylor]: Taking taylor expansion of 2.0 in n 0.637 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.637 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.637 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.637 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.637 * [taylor]: Taking taylor expansion of 1.0 in n 0.637 * [taylor]: Taking taylor expansion of (log n) in n 0.637 * [taylor]: Taking taylor expansion of n in n 0.637 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.637 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.637 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.637 * [taylor]: Taking taylor expansion of 1.0 in n 0.637 * [taylor]: Taking taylor expansion of (log PI) in n 0.637 * [taylor]: Taking taylor expansion of PI in n 0.652 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 0.652 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.652 * [taylor]: Taking taylor expansion of 1.0 in n 0.652 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.652 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.652 * [taylor]: Taking taylor expansion of k in n 0.652 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.652 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.652 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.652 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.652 * [taylor]: Taking taylor expansion of 0.5 in n 0.652 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.652 * [taylor]: Taking taylor expansion of 1.0 in n 0.652 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.652 * [taylor]: Taking taylor expansion of k in n 0.652 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.652 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.652 * [taylor]: Taking taylor expansion of 2.0 in n 0.652 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.652 * [taylor]: Taking taylor expansion of PI in n 0.652 * [taylor]: Taking taylor expansion of n in n 0.653 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.653 * [taylor]: Taking taylor expansion of 1.0 in k 0.653 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.653 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.653 * [taylor]: Taking taylor expansion of k in k 0.653 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.653 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.653 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.653 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.653 * [taylor]: Taking taylor expansion of 0.5 in k 0.653 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.653 * [taylor]: Taking taylor expansion of 1.0 in k 0.653 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.653 * [taylor]: Taking taylor expansion of k in k 0.653 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.653 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.653 * [taylor]: Taking taylor expansion of 2.0 in k 0.653 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.653 * [taylor]: Taking taylor expansion of PI in k 0.653 * [taylor]: Taking taylor expansion of n in k 0.653 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.653 * [taylor]: Taking taylor expansion of 1.0 in k 0.654 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.654 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.654 * [taylor]: Taking taylor expansion of k in k 0.654 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.654 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.654 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.654 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.654 * [taylor]: Taking taylor expansion of 0.5 in k 0.654 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.654 * [taylor]: Taking taylor expansion of 1.0 in k 0.654 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.654 * [taylor]: Taking taylor expansion of k in k 0.654 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.654 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.654 * [taylor]: Taking taylor expansion of 2.0 in k 0.654 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.654 * [taylor]: Taking taylor expansion of PI in k 0.654 * [taylor]: Taking taylor expansion of n in k 0.654 * [taylor]: Taking taylor expansion of 0 in n 0.655 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.655 * [taylor]: Taking taylor expansion of 1.0 in n 0.655 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.655 * [taylor]: Taking taylor expansion of NAN in n 0.655 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.655 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.655 * [taylor]: Taking taylor expansion of 0.5 in n 0.655 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.655 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.655 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.655 * [taylor]: Taking taylor expansion of 2.0 in n 0.655 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.655 * [taylor]: Taking taylor expansion of PI in n 0.655 * [taylor]: Taking taylor expansion of n in n 0.655 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.655 * [taylor]: Taking taylor expansion of 1.0 in n 0.655 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.655 * [taylor]: Taking taylor expansion of k in n 0.656 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.656 * [taylor]: Taking taylor expansion of 1.0 in n 0.656 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.656 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.656 * [taylor]: Taking taylor expansion of NAN in n 0.656 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.656 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.656 * [taylor]: Taking taylor expansion of 0.5 in n 0.656 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.657 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.657 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.657 * [taylor]: Taking taylor expansion of 2.0 in n 0.657 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.657 * [taylor]: Taking taylor expansion of PI in n 0.657 * [taylor]: Taking taylor expansion of n in n 0.657 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.657 * [taylor]: Taking taylor expansion of 1.0 in n 0.657 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.657 * [taylor]: Taking taylor expansion of k in n 0.660 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.660 * [taylor]: Taking taylor expansion of 1.0 in n 0.660 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.660 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.660 * [taylor]: Taking taylor expansion of NAN in n 0.660 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.660 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.660 * [taylor]: Taking taylor expansion of 0.5 in n 0.660 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.660 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.660 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.660 * [taylor]: Taking taylor expansion of 2.0 in n 0.660 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.660 * [taylor]: Taking taylor expansion of PI in n 0.660 * [taylor]: Taking taylor expansion of n in n 0.660 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.660 * [taylor]: Taking taylor expansion of 1.0 in n 0.660 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.660 * [taylor]: Taking taylor expansion of k in n 0.662 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 0.662 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.662 * [taylor]: Taking taylor expansion of 1.0 in n 0.662 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.662 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.662 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.662 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.662 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.662 * [taylor]: Taking taylor expansion of 0.5 in n 0.662 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.662 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.662 * [taylor]: Taking taylor expansion of k in n 0.662 * [taylor]: Taking taylor expansion of 1.0 in n 0.662 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.662 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.662 * [taylor]: Taking taylor expansion of -2.0 in n 0.662 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.662 * [taylor]: Taking taylor expansion of PI in n 0.662 * [taylor]: Taking taylor expansion of n in n 0.663 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.663 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.663 * [taylor]: Taking taylor expansion of -1 in n 0.663 * [taylor]: Taking taylor expansion of k in n 0.663 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.663 * [taylor]: Taking taylor expansion of 1.0 in k 0.663 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.663 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.663 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.663 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.663 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.663 * [taylor]: Taking taylor expansion of 0.5 in k 0.663 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.663 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.663 * [taylor]: Taking taylor expansion of k in k 0.663 * [taylor]: Taking taylor expansion of 1.0 in k 0.663 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.663 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.663 * [taylor]: Taking taylor expansion of -2.0 in k 0.663 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.663 * [taylor]: Taking taylor expansion of PI in k 0.663 * [taylor]: Taking taylor expansion of n in k 0.664 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.664 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.664 * [taylor]: Taking taylor expansion of -1 in k 0.664 * [taylor]: Taking taylor expansion of k in k 0.664 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.664 * [taylor]: Taking taylor expansion of 1.0 in k 0.664 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.664 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.664 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.664 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.664 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.664 * [taylor]: Taking taylor expansion of 0.5 in k 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.664 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.664 * [taylor]: Taking taylor expansion of k in k 0.664 * [taylor]: Taking taylor expansion of 1.0 in k 0.664 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.664 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.664 * [taylor]: Taking taylor expansion of -2.0 in k 0.664 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.664 * [taylor]: Taking taylor expansion of PI in k 0.664 * [taylor]: Taking taylor expansion of n in k 0.664 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.664 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.664 * [taylor]: Taking taylor expansion of -1 in k 0.664 * [taylor]: Taking taylor expansion of k in k 0.665 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 0.665 * [taylor]: Taking taylor expansion of 1.0 in n 0.665 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 0.665 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.665 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.665 * [taylor]: Taking taylor expansion of 0.5 in n 0.665 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.665 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.665 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.665 * [taylor]: Taking taylor expansion of k in n 0.665 * [taylor]: Taking taylor expansion of 1.0 in n 0.665 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.665 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.665 * [taylor]: Taking taylor expansion of -2.0 in n 0.665 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.665 * [taylor]: Taking taylor expansion of PI in n 0.665 * [taylor]: Taking taylor expansion of n in n 0.665 * [taylor]: Taking taylor expansion of NAN in n 0.666 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN))) in n 0.666 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 0.666 * [taylor]: Taking taylor expansion of 1.0 in n 0.666 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 0.666 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.667 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.667 * [taylor]: Taking taylor expansion of 0.5 in n 0.667 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.667 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.667 * [taylor]: Taking taylor expansion of k in n 0.667 * [taylor]: Taking taylor expansion of 1.0 in n 0.667 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.667 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.667 * [taylor]: Taking taylor expansion of -2.0 in n 0.667 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.667 * [taylor]: Taking taylor expansion of PI in n 0.667 * [taylor]: Taking taylor expansion of n in n 0.667 * [taylor]: Taking taylor expansion of NAN in n 0.669 * [taylor]: Taking taylor expansion of 0 in n 0.672 * [taylor]: Taking taylor expansion of 0 in n 0.673 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.673 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.673 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.673 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.673 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.673 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.673 * [taylor]: Taking taylor expansion of 0.5 in k 0.673 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.673 * [taylor]: Taking taylor expansion of 1.0 in k 0.673 * [taylor]: Taking taylor expansion of k in k 0.673 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.673 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.673 * [taylor]: Taking taylor expansion of 2.0 in k 0.673 * [taylor]: Taking taylor expansion of (* n PI) in k 0.673 * [taylor]: Taking taylor expansion of n in k 0.673 * [taylor]: Taking taylor expansion of PI in k 0.673 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.673 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.673 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.673 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.673 * [taylor]: Taking taylor expansion of 0.5 in n 0.673 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.673 * [taylor]: Taking taylor expansion of 1.0 in n 0.673 * [taylor]: Taking taylor expansion of k in n 0.673 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.673 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.673 * [taylor]: Taking taylor expansion of 2.0 in n 0.673 * [taylor]: Taking taylor expansion of (* n PI) in n 0.673 * [taylor]: Taking taylor expansion of n in n 0.673 * [taylor]: Taking taylor expansion of PI in n 0.674 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.674 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.674 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.674 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.674 * [taylor]: Taking taylor expansion of 0.5 in n 0.674 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.674 * [taylor]: Taking taylor expansion of 1.0 in n 0.674 * [taylor]: Taking taylor expansion of k in n 0.674 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.674 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.674 * [taylor]: Taking taylor expansion of 2.0 in n 0.674 * [taylor]: Taking taylor expansion of (* n PI) in n 0.674 * [taylor]: Taking taylor expansion of n in n 0.674 * [taylor]: Taking taylor expansion of PI in n 0.674 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.674 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.674 * [taylor]: Taking taylor expansion of 0.5 in k 0.674 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.674 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.675 * [taylor]: Taking taylor expansion of 1.0 in k 0.675 * [taylor]: Taking taylor expansion of k in k 0.675 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.675 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.675 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.675 * [taylor]: Taking taylor expansion of 2.0 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 0.675 * [taylor]: Taking taylor expansion of 0 in k 0.680 * [taylor]: Taking taylor expansion of 0 in k 0.682 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.682 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.682 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.682 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.682 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.682 * [taylor]: Taking taylor expansion of 0.5 in k 0.683 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.683 * [taylor]: Taking taylor expansion of 1.0 in k 0.683 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.683 * [taylor]: Taking taylor expansion of k in k 0.683 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.683 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.683 * [taylor]: Taking taylor expansion of 2.0 in k 0.683 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.683 * [taylor]: Taking taylor expansion of PI in k 0.683 * [taylor]: Taking taylor expansion of n in k 0.683 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.683 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.683 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.683 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.683 * [taylor]: Taking taylor expansion of 0.5 in n 0.683 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.683 * [taylor]: Taking taylor expansion of 1.0 in n 0.683 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.683 * [taylor]: Taking taylor expansion of k in n 0.683 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.683 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.683 * [taylor]: Taking taylor expansion of 2.0 in n 0.683 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.683 * [taylor]: Taking taylor expansion of PI in n 0.683 * [taylor]: Taking taylor expansion of n in n 0.684 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.684 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.684 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.684 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.684 * [taylor]: Taking taylor expansion of 0.5 in n 0.684 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.684 * [taylor]: Taking taylor expansion of 1.0 in n 0.684 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.684 * [taylor]: Taking taylor expansion of k in n 0.684 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.684 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.684 * [taylor]: Taking taylor expansion of 2.0 in n 0.684 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.684 * [taylor]: Taking taylor expansion of PI in n 0.684 * [taylor]: Taking taylor expansion of n in n 0.684 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.684 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.684 * [taylor]: Taking taylor expansion of 0.5 in k 0.684 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.684 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.684 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.684 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.684 * [taylor]: Taking taylor expansion of 2.0 in k 0.684 * [taylor]: Taking taylor expansion of PI in k 0.684 * [taylor]: Taking taylor expansion of (log n) in k 0.684 * [taylor]: Taking taylor expansion of n in k 0.685 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.685 * [taylor]: Taking taylor expansion of 1.0 in k 0.685 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.685 * [taylor]: Taking taylor expansion of k in k 0.686 * [taylor]: Taking taylor expansion of 0 in k 0.686 * [taylor]: Taking taylor expansion of 0 in k 0.687 * [taylor]: Taking taylor expansion of 0 in k 0.688 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.688 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.688 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.688 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.688 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.688 * [taylor]: Taking taylor expansion of 0.5 in k 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.688 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.688 * [taylor]: Taking taylor expansion of k in k 0.688 * [taylor]: Taking taylor expansion of 1.0 in k 0.688 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.688 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.688 * [taylor]: Taking taylor expansion of -2.0 in k 0.688 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.688 * [taylor]: Taking taylor expansion of PI in k 0.688 * [taylor]: Taking taylor expansion of n in k 0.688 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.688 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.688 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.688 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.688 * [taylor]: Taking taylor expansion of 0.5 in n 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.688 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.688 * [taylor]: Taking taylor expansion of k in n 0.688 * [taylor]: Taking taylor expansion of 1.0 in n 0.688 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.688 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.688 * [taylor]: Taking taylor expansion of -2.0 in n 0.689 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.689 * [taylor]: Taking taylor expansion of PI in n 0.689 * [taylor]: Taking taylor expansion of n in n 0.689 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.689 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.689 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.689 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.689 * [taylor]: Taking taylor expansion of 0.5 in n 0.689 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.689 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.689 * [taylor]: Taking taylor expansion of k in n 0.689 * [taylor]: Taking taylor expansion of 1.0 in n 0.689 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.689 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.689 * [taylor]: Taking taylor expansion of -2.0 in n 0.689 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.689 * [taylor]: Taking taylor expansion of PI in n 0.689 * [taylor]: Taking taylor expansion of n in n 0.690 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.690 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.690 * [taylor]: Taking taylor expansion of 0.5 in k 0.690 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.690 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.690 * [taylor]: Taking taylor expansion of k in k 0.690 * [taylor]: Taking taylor expansion of 1.0 in k 0.690 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.690 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.690 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.690 * [taylor]: Taking taylor expansion of -2.0 in k 0.690 * [taylor]: Taking taylor expansion of PI in k 0.690 * [taylor]: Taking taylor expansion of (log n) in k 0.690 * [taylor]: Taking taylor expansion of n in k 0.691 * [taylor]: Taking taylor expansion of 0 in k 0.692 * [taylor]: Taking taylor expansion of 0 in k 0.693 * [taylor]: Taking taylor expansion of 0 in k 0.693 * * * [progress]: simplifying candidates 0.695 * [simplify]: Simplifying using # : (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) 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2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (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 k) (sqrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt k) (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 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* 1.0 (+ (* (* k k) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (* k k)) (/ NAN k)))) (+ (* 1.0 (/ NAN k)) (/ 1.0 NAN)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (+ (+ (+ (* 1.0 (* NAN (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (* NAN (* (* k k) (* (log (* 2.0 PI)) (log n))))))) (* (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 1.0 (* (* k k) (pow NAN 5))) (* 0.125 (* (* k k) (* NAN (pow (log n) 2))))))) (* (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.125 (* (* k k) (* NAN (pow (log (* 2.0 PI)) 2)))) (* 1.0 (* k (pow NAN 3)))))) (+ (* 0.5 (* (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* (* k k) (* (log n) (pow NAN 3))) (* k (* (log n) NAN))))) (* (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (* k k) (* (log (* 2.0 PI)) (pow NAN 3)))))))) (* 1.0 (+ (/ (* NAN (pow (pow (* (* 2.0 PI) n) (- 1.0 k)) 0.5)) k) (+ (/ (* (pow NAN 3) (pow (pow (* (* 2.0 PI) n) (- 1.0 k)) 0.5)) (* k k)) (/ (* (pow NAN 5) (pow (pow (* (* 2.0 PI) n) (- 1.0 k)) 0.5)) (pow k 3))))) (* 1.0 (+ (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n)))))) NAN) (* (/ NAN k) (exp (* 0.5 (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))))))) (+ (* (* (* k k) 0.125) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (log n) 2) (pow (* (* 2.0 PI) n) 0.5)))) (- (+ (pow (* (* 2.0 PI) n) 0.5) (* 0.25 (* (* k k) (* (log (* 2.0 PI)) (* (log n) (pow (* (* 2.0 PI) n) 0.5)))))) (* (* k 0.5) (+ (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5)) (* (log n) (pow (* (* 2.0 PI) n) 0.5)))))) (pow (pow (* (* 2.0 PI) n) (- 1.0 k)) 0.5) (exp (* 0.5 (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n)))))) 0.766 * * * [progress]: adding candidates to table 1.142 * * [progress]: iteration 2 / 4 1.142 * * * [progress]: picking best candidate 1.175 * * * * [pick]: Picked # 1.175 * * * [progress]: localizing error 1.195 * * * [progress]: generating rewritten candidates 1.195 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.200 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.205 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.218 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.230 * * * [progress]: generating series expansions 1.230 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.231 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.231 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.231 * [taylor]: Taking taylor expansion of 2.0 in n 1.231 * [taylor]: Taking taylor expansion of (* n PI) in n 1.231 * [taylor]: Taking taylor expansion of n in n 1.231 * [taylor]: Taking taylor expansion of PI in n 1.231 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.231 * [taylor]: Taking taylor expansion of 2.0 in n 1.231 * [taylor]: Taking taylor expansion of (* n PI) in n 1.231 * [taylor]: Taking taylor expansion of n in n 1.231 * [taylor]: Taking taylor expansion of PI in n 1.232 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.232 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.232 * [taylor]: Taking taylor expansion of 2.0 in n 1.232 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.232 * [taylor]: Taking taylor expansion of PI in n 1.232 * [taylor]: Taking taylor expansion of n in n 1.232 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.232 * [taylor]: Taking taylor expansion of 2.0 in n 1.232 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.232 * [taylor]: Taking taylor expansion of PI in n 1.232 * [taylor]: Taking taylor expansion of n in n 1.233 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.233 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.233 * [taylor]: Taking taylor expansion of -2.0 in n 1.233 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.233 * [taylor]: Taking taylor expansion of PI in n 1.233 * [taylor]: Taking taylor expansion of n in n 1.233 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.233 * [taylor]: Taking taylor expansion of -2.0 in n 1.233 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.233 * [taylor]: Taking taylor expansion of PI in n 1.233 * [taylor]: Taking taylor expansion of n in n 1.234 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.234 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.234 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.234 * [taylor]: Taking taylor expansion of 2.0 in n 1.234 * [taylor]: Taking taylor expansion of (* n PI) in n 1.234 * [taylor]: Taking taylor expansion of n in n 1.234 * [taylor]: Taking taylor expansion of PI in n 1.234 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.234 * [taylor]: Taking taylor expansion of 2.0 in n 1.234 * [taylor]: Taking taylor expansion of (* n PI) in n 1.234 * [taylor]: Taking taylor expansion of n in n 1.234 * [taylor]: Taking taylor expansion of PI in n 1.235 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.235 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.235 * [taylor]: Taking taylor expansion of 2.0 in n 1.235 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.235 * [taylor]: Taking taylor expansion of PI in n 1.235 * [taylor]: Taking taylor expansion of n in n 1.235 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.235 * [taylor]: Taking taylor expansion of 2.0 in n 1.235 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.235 * [taylor]: Taking taylor expansion of PI in n 1.235 * [taylor]: Taking taylor expansion of n in n 1.236 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.236 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.236 * [taylor]: Taking taylor expansion of -2.0 in n 1.236 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.236 * [taylor]: Taking taylor expansion of PI in n 1.236 * [taylor]: Taking taylor expansion of n in n 1.236 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.236 * [taylor]: Taking taylor expansion of -2.0 in n 1.236 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.236 * [taylor]: Taking taylor expansion of PI in n 1.236 * [taylor]: Taking taylor expansion of n in n 1.237 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.238 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 1.238 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 1.238 * [taylor]: Taking taylor expansion of 1.0 in k 1.238 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 1.238 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.238 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.238 * [taylor]: Taking taylor expansion of k in k 1.238 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 1.238 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.238 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.238 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.238 * [taylor]: Taking taylor expansion of 0.5 in k 1.238 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.238 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.238 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.238 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.238 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.238 * [taylor]: Taking taylor expansion of 1.0 in k 1.238 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.238 * [taylor]: Taking taylor expansion of 2.0 in k 1.238 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.238 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.238 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.238 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.238 * [taylor]: Taking taylor expansion of 1.0 in k 1.238 * [taylor]: Taking taylor expansion of (log n) in k 1.238 * [taylor]: Taking taylor expansion of n in k 1.238 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.238 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.238 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.238 * [taylor]: Taking taylor expansion of 1.0 in k 1.238 * [taylor]: Taking taylor expansion of (log PI) in k 1.238 * [taylor]: Taking taylor expansion of PI in k 1.239 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.239 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.239 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.239 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.239 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.239 * [taylor]: Taking taylor expansion of 0.5 in k 1.239 * [taylor]: Taking taylor expansion of k in k 1.239 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.239 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.239 * [taylor]: Taking taylor expansion of 2.0 in k 1.239 * [taylor]: Taking taylor expansion of (* n PI) in k 1.240 * [taylor]: Taking taylor expansion of n in k 1.240 * [taylor]: Taking taylor expansion of PI in k 1.240 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.240 * [taylor]: Taking taylor expansion of 1.0 in n 1.240 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.240 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.240 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.240 * [taylor]: Taking taylor expansion of k in n 1.240 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.240 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.240 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.240 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.240 * [taylor]: Taking taylor expansion of 0.5 in n 1.240 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.240 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.240 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.240 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.240 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.240 * [taylor]: Taking taylor expansion of 1.0 in n 1.240 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.240 * [taylor]: Taking taylor expansion of 2.0 in n 1.240 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.240 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.241 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.241 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.241 * [taylor]: Taking taylor expansion of 1.0 in n 1.241 * [taylor]: Taking taylor expansion of (log n) in n 1.241 * [taylor]: Taking taylor expansion of n in n 1.241 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.241 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.241 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.241 * [taylor]: Taking taylor expansion of 1.0 in n 1.241 * [taylor]: Taking taylor expansion of (log PI) in n 1.241 * [taylor]: Taking taylor expansion of PI in n 1.242 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.242 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.242 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.242 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.242 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.242 * [taylor]: Taking taylor expansion of 0.5 in n 1.242 * [taylor]: Taking taylor expansion of k in n 1.242 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.242 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.242 * [taylor]: Taking taylor expansion of 2.0 in n 1.242 * [taylor]: Taking taylor expansion of (* n PI) in n 1.242 * [taylor]: Taking taylor expansion of n in n 1.242 * [taylor]: Taking taylor expansion of PI in n 1.242 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.242 * [taylor]: Taking taylor expansion of 1.0 in n 1.242 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.242 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.242 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.242 * [taylor]: Taking taylor expansion of k in n 1.243 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.243 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.243 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.243 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.243 * [taylor]: Taking taylor expansion of 0.5 in n 1.243 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.243 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.243 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.243 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.243 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.243 * [taylor]: Taking taylor expansion of 1.0 in n 1.243 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.243 * [taylor]: Taking taylor expansion of 2.0 in n 1.243 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.243 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.243 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.243 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.243 * [taylor]: Taking taylor expansion of 1.0 in n 1.243 * [taylor]: Taking taylor expansion of (log n) in n 1.243 * [taylor]: Taking taylor expansion of n in n 1.243 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.243 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.243 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.243 * [taylor]: Taking taylor expansion of 1.0 in n 1.243 * [taylor]: Taking taylor expansion of (log PI) in n 1.243 * [taylor]: Taking taylor expansion of PI in n 1.244 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.244 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.244 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.244 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.244 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.244 * [taylor]: Taking taylor expansion of 0.5 in n 1.244 * [taylor]: Taking taylor expansion of k in n 1.244 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.244 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.244 * [taylor]: Taking taylor expansion of 2.0 in n 1.244 * [taylor]: Taking taylor expansion of (* n PI) in n 1.244 * [taylor]: Taking taylor expansion of n in n 1.244 * [taylor]: Taking taylor expansion of PI in n 1.246 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)))) in k 1.246 * [taylor]: Taking taylor expansion of 1.0 in k 1.246 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 1.246 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.246 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.246 * [taylor]: Taking taylor expansion of k in k 1.246 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 1.246 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.246 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.246 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.246 * [taylor]: Taking taylor expansion of 0.5 in k 1.246 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.246 * [taylor]: Taking taylor expansion of k in k 1.246 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.246 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.246 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.246 * [taylor]: Taking taylor expansion of 2.0 in k 1.246 * [taylor]: Taking taylor expansion of PI in k 1.246 * [taylor]: Taking taylor expansion of (log n) in k 1.246 * [taylor]: Taking taylor expansion of n in k 1.247 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 1.247 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 1.247 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 1.247 * [taylor]: Taking taylor expansion of 0.5 in k 1.247 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 1.247 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 1.247 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.247 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.247 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.247 * [taylor]: Taking taylor expansion of 1.0 in k 1.247 * [taylor]: Taking taylor expansion of (log PI) in k 1.247 * [taylor]: Taking taylor expansion of PI in k 1.247 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 1.247 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.247 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.247 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.247 * [taylor]: Taking taylor expansion of 1.0 in k 1.247 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.247 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.247 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.247 * [taylor]: Taking taylor expansion of 1.0 in k 1.247 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.247 * [taylor]: Taking taylor expansion of (log 1) in k 1.247 * [taylor]: Taking taylor expansion of 1 in k 1.247 * [taylor]: Taking taylor expansion of (log n) in k 1.247 * [taylor]: Taking taylor expansion of n in k 1.248 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.248 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.248 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.248 * [taylor]: Taking taylor expansion of 1.0 in k 1.248 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.248 * [taylor]: Taking taylor expansion of 2.0 in k 1.252 * [taylor]: Taking taylor expansion of 0 in k 1.261 * [taylor]: Taking taylor expansion of 0 in k 1.277 * [taylor]: Taking taylor expansion of 0 in k 1.303 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 1.303 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 1.303 * [taylor]: Taking taylor expansion of 1.0 in k 1.303 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 1.303 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.303 * [taylor]: Taking taylor expansion of k in k 1.303 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 1.303 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.303 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.303 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.303 * [taylor]: Taking taylor expansion of 0.5 in k 1.303 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.303 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.303 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.303 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.303 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.303 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.303 * [taylor]: Taking taylor expansion of 1.0 in k 1.303 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.303 * [taylor]: Taking taylor expansion of 2.0 in k 1.303 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.303 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.306 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.306 * [taylor]: Taking taylor expansion of 1.0 in k 1.306 * [taylor]: Taking taylor expansion of (log PI) in k 1.306 * [taylor]: Taking taylor expansion of PI in k 1.306 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.306 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.306 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.306 * [taylor]: Taking taylor expansion of 1.0 in k 1.306 * [taylor]: Taking taylor expansion of (log n) in k 1.306 * [taylor]: Taking taylor expansion of n in k 1.307 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.307 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.307 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.307 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.307 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.307 * [taylor]: Taking taylor expansion of 0.5 in k 1.307 * [taylor]: Taking taylor expansion of k in k 1.307 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.307 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.307 * [taylor]: Taking taylor expansion of 2.0 in k 1.307 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.307 * [taylor]: Taking taylor expansion of PI in k 1.307 * [taylor]: Taking taylor expansion of n in k 1.307 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.307 * [taylor]: Taking taylor expansion of 1.0 in n 1.307 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.307 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.307 * [taylor]: Taking taylor expansion of k in n 1.308 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.308 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.308 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.308 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.308 * [taylor]: Taking taylor expansion of 0.5 in n 1.308 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.308 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.308 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.308 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.308 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.308 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.308 * [taylor]: Taking taylor expansion of 1.0 in n 1.308 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.308 * [taylor]: Taking taylor expansion of 2.0 in n 1.308 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.308 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.308 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.308 * [taylor]: Taking taylor expansion of 1.0 in n 1.308 * [taylor]: Taking taylor expansion of (log PI) in n 1.308 * [taylor]: Taking taylor expansion of PI in n 1.308 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.308 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.308 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.308 * [taylor]: Taking taylor expansion of 1.0 in n 1.308 * [taylor]: Taking taylor expansion of (log n) in n 1.308 * [taylor]: Taking taylor expansion of n in n 1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.309 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.309 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.309 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.309 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.309 * [taylor]: Taking taylor expansion of 0.5 in n 1.310 * [taylor]: Taking taylor expansion of k in n 1.310 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.310 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.310 * [taylor]: Taking taylor expansion of 2.0 in n 1.310 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.310 * [taylor]: Taking taylor expansion of PI in n 1.310 * [taylor]: Taking taylor expansion of n in n 1.310 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.310 * [taylor]: Taking taylor expansion of 1.0 in n 1.310 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.310 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.310 * [taylor]: Taking taylor expansion of k in n 1.310 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.310 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.310 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.310 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.310 * [taylor]: Taking taylor expansion of 0.5 in n 1.310 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.310 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.310 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.310 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.310 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.310 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.310 * [taylor]: Taking taylor expansion of 1.0 in n 1.310 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.310 * [taylor]: Taking taylor expansion of 2.0 in n 1.310 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.310 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.310 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.311 * [taylor]: Taking taylor expansion of 1.0 in n 1.311 * [taylor]: Taking taylor expansion of (log PI) in n 1.311 * [taylor]: Taking taylor expansion of PI in n 1.311 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.311 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.311 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.311 * [taylor]: Taking taylor expansion of 1.0 in n 1.311 * [taylor]: Taking taylor expansion of (log n) in n 1.311 * [taylor]: Taking taylor expansion of n in n 1.312 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.312 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.312 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.312 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.312 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.312 * [taylor]: Taking taylor expansion of 0.5 in n 1.312 * [taylor]: Taking taylor expansion of k in n 1.312 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.312 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.312 * [taylor]: Taking taylor expansion of 2.0 in n 1.312 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.312 * [taylor]: Taking taylor expansion of PI in n 1.312 * [taylor]: Taking taylor expansion of n in n 1.313 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)))) in k 1.314 * [taylor]: Taking taylor expansion of 1.0 in k 1.314 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 1.314 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.314 * [taylor]: Taking taylor expansion of k in k 1.314 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 1.314 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.314 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.314 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.314 * [taylor]: Taking taylor expansion of 0.5 in k 1.314 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.314 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.314 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.314 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.314 * [taylor]: Taking taylor expansion of 2.0 in k 1.314 * [taylor]: Taking taylor expansion of PI in k 1.314 * [taylor]: Taking taylor expansion of (log n) in k 1.314 * [taylor]: Taking taylor expansion of n in k 1.314 * [taylor]: Taking taylor expansion of k in k 1.314 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.314 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.314 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.314 * [taylor]: Taking taylor expansion of 0.5 in k 1.314 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.314 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.314 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.314 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.315 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.315 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.315 * [taylor]: Taking taylor expansion of 1.0 in k 1.315 * [taylor]: Taking taylor expansion of (log PI) in k 1.315 * [taylor]: Taking taylor expansion of PI in k 1.315 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.315 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.315 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.315 * [taylor]: Taking taylor expansion of 1.0 in k 1.315 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.315 * [taylor]: Taking taylor expansion of 2.0 in k 1.315 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.315 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.315 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.315 * [taylor]: Taking taylor expansion of 1.0 in k 1.315 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.315 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.315 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.315 * [taylor]: Taking taylor expansion of 1.0 in k 1.315 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.315 * [taylor]: Taking taylor expansion of (log 1) in k 1.315 * [taylor]: Taking taylor expansion of 1 in k 1.315 * [taylor]: Taking taylor expansion of (log n) in k 1.315 * [taylor]: Taking taylor expansion of n in k 1.321 * [taylor]: Taking taylor expansion of 0 in k 1.329 * [taylor]: Taking taylor expansion of 0 in k 1.341 * [taylor]: Taking taylor expansion of 0 in k 1.351 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 1.351 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 1.351 * [taylor]: Taking taylor expansion of 1.0 in k 1.351 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 1.351 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 1.351 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 1.351 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.351 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.351 * [taylor]: Taking taylor expansion of -1 in k 1.351 * [taylor]: Taking taylor expansion of k in k 1.351 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.351 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.351 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.352 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.352 * [taylor]: Taking taylor expansion of -0.5 in k 1.352 * [taylor]: Taking taylor expansion of k in k 1.352 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.352 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.352 * [taylor]: Taking taylor expansion of -2.0 in k 1.352 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.352 * [taylor]: Taking taylor expansion of PI in k 1.352 * [taylor]: Taking taylor expansion of n in k 1.352 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.352 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.352 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.352 * [taylor]: Taking taylor expansion of 0.5 in k 1.352 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.352 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.352 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.352 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.352 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.352 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.352 * [taylor]: Taking taylor expansion of 1.0 in k 1.352 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.352 * [taylor]: Taking taylor expansion of -2.0 in k 1.352 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.352 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.352 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.352 * [taylor]: Taking taylor expansion of 1.0 in k 1.352 * [taylor]: Taking taylor expansion of (log PI) in k 1.353 * [taylor]: Taking taylor expansion of PI in k 1.353 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.353 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.353 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.353 * [taylor]: Taking taylor expansion of 1.0 in k 1.353 * [taylor]: Taking taylor expansion of (log n) in k 1.353 * [taylor]: Taking taylor expansion of n in k 1.354 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 1.354 * [taylor]: Taking taylor expansion of 1.0 in n 1.354 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.354 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.354 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.354 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.354 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.354 * [taylor]: Taking taylor expansion of -1 in n 1.354 * [taylor]: Taking taylor expansion of k in n 1.354 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.354 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.354 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.354 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.354 * [taylor]: Taking taylor expansion of -0.5 in n 1.354 * [taylor]: Taking taylor expansion of k in n 1.354 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.354 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.354 * [taylor]: Taking taylor expansion of -2.0 in n 1.354 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.354 * [taylor]: Taking taylor expansion of PI in n 1.354 * [taylor]: Taking taylor expansion of n in n 1.355 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.355 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.355 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.355 * [taylor]: Taking taylor expansion of 0.5 in n 1.355 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.355 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.355 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.355 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.355 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.355 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.355 * [taylor]: Taking taylor expansion of 1.0 in n 1.355 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.355 * [taylor]: Taking taylor expansion of -2.0 in n 1.355 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.355 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.355 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.355 * [taylor]: Taking taylor expansion of 1.0 in n 1.355 * [taylor]: Taking taylor expansion of (log PI) in n 1.355 * [taylor]: Taking taylor expansion of PI in n 1.355 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.355 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.355 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.355 * [taylor]: Taking taylor expansion of 1.0 in n 1.355 * [taylor]: Taking taylor expansion of (log n) in n 1.355 * [taylor]: Taking taylor expansion of n in n 1.356 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 1.356 * [taylor]: Taking taylor expansion of 1.0 in n 1.356 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.356 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.356 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.356 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.356 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.356 * [taylor]: Taking taylor expansion of -1 in n 1.356 * [taylor]: Taking taylor expansion of k in n 1.356 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.356 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.356 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.356 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.356 * [taylor]: Taking taylor expansion of -0.5 in n 1.356 * [taylor]: Taking taylor expansion of k in n 1.357 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.357 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.357 * [taylor]: Taking taylor expansion of -2.0 in n 1.357 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.357 * [taylor]: Taking taylor expansion of PI in n 1.357 * [taylor]: Taking taylor expansion of n in n 1.357 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.357 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.357 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.357 * [taylor]: Taking taylor expansion of 0.5 in n 1.357 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.357 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.357 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.357 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.357 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.357 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.357 * [taylor]: Taking taylor expansion of 1.0 in n 1.357 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.357 * [taylor]: Taking taylor expansion of -2.0 in n 1.357 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.357 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.357 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.357 * [taylor]: Taking taylor expansion of 1.0 in n 1.357 * [taylor]: Taking taylor expansion of (log PI) in n 1.357 * [taylor]: Taking taylor expansion of PI in n 1.358 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.358 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.358 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.358 * [taylor]: Taking taylor expansion of 1.0 in n 1.358 * [taylor]: Taking taylor expansion of (log n) in n 1.358 * [taylor]: Taking taylor expansion of n in n 1.360 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 1.360 * [taylor]: Taking taylor expansion of 1.0 in k 1.360 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 1.360 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1.360 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1.360 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.360 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.360 * [taylor]: Taking taylor expansion of -0.5 in k 1.360 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.360 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.360 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.360 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.360 * [taylor]: Taking taylor expansion of -2.0 in k 1.360 * [taylor]: Taking taylor expansion of PI in k 1.360 * [taylor]: Taking taylor expansion of (log n) in k 1.360 * [taylor]: Taking taylor expansion of n in k 1.360 * [taylor]: Taking taylor expansion of k in k 1.360 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.360 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.360 * [taylor]: Taking taylor expansion of -1 in k 1.360 * [taylor]: Taking taylor expansion of k in k 1.361 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.361 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.361 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.361 * [taylor]: Taking taylor expansion of 0.5 in k 1.361 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.361 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.361 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.361 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.361 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.361 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.361 * [taylor]: Taking taylor expansion of 1.0 in k 1.361 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.361 * [taylor]: Taking taylor expansion of -2.0 in k 1.361 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.361 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.361 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.361 * [taylor]: Taking taylor expansion of 1.0 in k 1.361 * [taylor]: Taking taylor expansion of (log PI) in k 1.361 * [taylor]: Taking taylor expansion of PI in k 1.361 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.361 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.361 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.361 * [taylor]: Taking taylor expansion of 1.0 in k 1.361 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.361 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.361 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.361 * [taylor]: Taking taylor expansion of 1.0 in k 1.361 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.361 * [taylor]: Taking taylor expansion of (log 1) in k 1.361 * [taylor]: Taking taylor expansion of 1 in k 1.361 * [taylor]: Taking taylor expansion of (log n) in k 1.361 * [taylor]: Taking taylor expansion of n in k 1.367 * [taylor]: Taking taylor expansion of 0 in k 1.376 * [taylor]: Taking taylor expansion of 0 in k 1.388 * [taylor]: Taking taylor expansion of 0 in k 1.389 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.389 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.389 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.389 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.389 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.390 * [taylor]: Taking taylor expansion of 0.5 in n 1.390 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.390 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.390 * [taylor]: Taking taylor expansion of 2.0 in n 1.390 * [taylor]: Taking taylor expansion of (* n PI) in n 1.390 * [taylor]: Taking taylor expansion of n in n 1.390 * [taylor]: Taking taylor expansion of PI in n 1.390 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.390 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.390 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.390 * [taylor]: Taking taylor expansion of 0.5 in n 1.390 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.390 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.390 * [taylor]: Taking taylor expansion of 2.0 in n 1.390 * [taylor]: Taking taylor expansion of (* n PI) in n 1.390 * [taylor]: Taking taylor expansion of n in n 1.390 * [taylor]: Taking taylor expansion of PI in n 1.398 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.398 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.398 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.398 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.398 * [taylor]: Taking taylor expansion of 0.5 in n 1.398 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.398 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.398 * [taylor]: Taking taylor expansion of 2.0 in n 1.398 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.398 * [taylor]: Taking taylor expansion of PI in n 1.398 * [taylor]: Taking taylor expansion of n in n 1.398 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.398 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.398 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.398 * [taylor]: Taking taylor expansion of 0.5 in n 1.398 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.398 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.398 * [taylor]: Taking taylor expansion of 2.0 in n 1.398 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.398 * [taylor]: Taking taylor expansion of PI in n 1.398 * [taylor]: Taking taylor expansion of n in n 1.407 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.408 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.408 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.408 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.408 * [taylor]: Taking taylor expansion of 0.5 in n 1.408 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.408 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.408 * [taylor]: Taking taylor expansion of -2.0 in n 1.408 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.408 * [taylor]: Taking taylor expansion of PI in n 1.408 * [taylor]: Taking taylor expansion of n in n 1.408 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.408 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.408 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.408 * [taylor]: Taking taylor expansion of 0.5 in n 1.408 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.408 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.408 * [taylor]: Taking taylor expansion of -2.0 in n 1.408 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.408 * [taylor]: Taking taylor expansion of PI in n 1.408 * [taylor]: Taking taylor expansion of n in n 1.416 * * * [progress]: simplifying candidates 1.418 * [simplify]: Simplifying using # : (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (neg (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (* NAN (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)))))))) (+ (* 0.5 (* (* k (* NAN (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (pow k 2) (* (pow NAN 3) (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))))))) (+ (* 1.0 (* (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (+ (* 1.0 (* (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))))) (+ (* 1.0 (* (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5)))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 1.449 * * [simplify]: iteration 0 : 5095 enodes (cost 2257 ) 1.456 * [simplify]: Simplified to: (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (neg (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (sqrt k) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (* (cbrt 1.0) (cbrt 1.0))) (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 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (+ (+ (* (pow (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.125 (* (* k k) (* NAN (pow (log n) 2)))) (* 1.0 NAN))) (* (pow (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.25 (* NAN (* (* k k) (* (log (* 2.0 PI)) (log n))))) (* 1.0 (* (* k k) (pow NAN 5)))))) (* (pow (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.125 (* (* k k) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3)))))) (+ (* 0.5 (* (pow (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* k (* (log (* 2.0 PI)) NAN)) (* (* k k) (* (log n) (pow NAN 3)))))) (* (pow (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.5 (* k (* (log n) NAN))) (* 0.5 (* (* k k) (* (log (* 2.0 PI)) (pow NAN 3)))))))) (* 1.0 (+ (* (/ (pow NAN 5) (* (pow k 3) (pow (* (* 2.0 PI) n) (* k 0.5)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (pow (/ 1 n) 1.0) 1.0)) 0.5)) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (pow (/ 1 n) 1.0) 1.0)) 0.5) (+ (/ (pow NAN 3) (* (* k k) (pow (* (* 2.0 PI) n) (* k 0.5)))) (/ NAN (* k (pow (* (* 2.0 PI) n) (* k 0.5)))))))) (* 1.0 (* (pow (/ (* (pow PI 1.0) (pow -2.0 1.0)) (pow (pow (/ -1 n) 1.0) 1.0)) 0.5) (+ (/ NAN (* k (exp (* 0.5 (* k (- (log (* PI -2.0)) (log (/ -1 n)))))))) (/ (exp (neg (* 0.5 (* k (- (log (* PI -2.0)) (log (/ -1 n))))))) NAN)))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* PI -2.0)) (log (/ -1 n))))) 1.457 * * * [progress]: adding candidates to table 1.766 * * [progress]: iteration 3 / 4 1.766 * * * [progress]: picking best candidate 1.797 * * * * [pick]: Picked # 1.797 * * * [progress]: localizing error 1.813 * * * [progress]: generating rewritten candidates 1.814 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.817 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.829 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.834 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.844 * * * [progress]: generating series expansions 1.844 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.844 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.844 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.844 * [taylor]: Taking taylor expansion of 1.0 in k 1.844 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.844 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.844 * [taylor]: Taking taylor expansion of k in k 1.844 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.844 * [taylor]: Taking taylor expansion of 1.0 in k 1.844 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.844 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.844 * [taylor]: Taking taylor expansion of k in k 1.845 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.845 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.845 * [taylor]: Taking taylor expansion of 1.0 in k 1.845 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.845 * [taylor]: Taking taylor expansion of k in k 1.845 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.845 * [taylor]: Taking taylor expansion of 1.0 in k 1.845 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.845 * [taylor]: Taking taylor expansion of k in k 1.846 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.846 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.846 * [taylor]: Taking taylor expansion of 1.0 in k 1.846 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.847 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.847 * [taylor]: Taking taylor expansion of -1 in k 1.847 * [taylor]: Taking taylor expansion of k in k 1.847 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.847 * [taylor]: Taking taylor expansion of 1.0 in k 1.847 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.847 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.847 * [taylor]: Taking taylor expansion of -1 in k 1.847 * [taylor]: Taking taylor expansion of k in k 1.852 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.852 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))))) in (k n) around 0 1.852 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))))) in n 1.852 * [taylor]: Taking taylor expansion of 1.0 in n 1.852 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k)))) in n 1.852 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.852 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.852 * [taylor]: Taking taylor expansion of k in n 1.852 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.852 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.852 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.852 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.852 * [taylor]: Taking taylor expansion of 0.25 in n 1.852 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.852 * [taylor]: Taking taylor expansion of 1.0 in n 1.852 * [taylor]: Taking taylor expansion of k in n 1.852 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.852 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.852 * [taylor]: Taking taylor expansion of 2.0 in n 1.852 * [taylor]: Taking taylor expansion of (* n PI) in n 1.852 * [taylor]: Taking taylor expansion of n in n 1.852 * [taylor]: Taking taylor expansion of PI in n 1.853 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))))) in k 1.853 * [taylor]: Taking taylor expansion of 1.0 in k 1.853 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k)))) in k 1.853 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.853 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.853 * [taylor]: Taking taylor expansion of k in k 1.853 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.853 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.853 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.853 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.853 * [taylor]: Taking taylor expansion of 0.25 in k 1.853 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.853 * [taylor]: Taking taylor expansion of 1.0 in k 1.853 * [taylor]: Taking taylor expansion of k in k 1.853 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.853 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.853 * [taylor]: Taking taylor expansion of 2.0 in k 1.853 * [taylor]: Taking taylor expansion of (* n PI) in k 1.853 * [taylor]: Taking taylor expansion of n in k 1.853 * [taylor]: Taking taylor expansion of PI in k 1.853 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))))) in k 1.853 * [taylor]: Taking taylor expansion of 1.0 in k 1.853 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k)))) in k 1.853 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.853 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.853 * [taylor]: Taking taylor expansion of k in k 1.855 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.856 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.856 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.856 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.856 * [taylor]: Taking taylor expansion of 0.25 in k 1.856 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.856 * [taylor]: Taking taylor expansion of 1.0 in k 1.856 * [taylor]: Taking taylor expansion of k in k 1.856 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.856 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.856 * [taylor]: Taking taylor expansion of 2.0 in k 1.856 * [taylor]: Taking taylor expansion of (* n PI) in k 1.856 * [taylor]: Taking taylor expansion of n in k 1.856 * [taylor]: Taking taylor expansion of PI in k 1.856 * [taylor]: Taking taylor expansion of 0 in n 1.857 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) in n 1.857 * [taylor]: Taking taylor expansion of 1.0 in n 1.857 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25)) in n 1.857 * [taylor]: Taking taylor expansion of NAN in n 1.857 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) in n 1.857 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.857 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.857 * [taylor]: Taking taylor expansion of 0.25 in n 1.857 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.857 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.857 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.857 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.857 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.857 * [taylor]: Taking taylor expansion of 1.0 in n 1.857 * [taylor]: Taking taylor expansion of (log PI) in n 1.857 * [taylor]: Taking taylor expansion of PI in n 1.858 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.858 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.858 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.858 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.858 * [taylor]: Taking taylor expansion of 1.0 in n 1.858 * [taylor]: Taking taylor expansion of (log n) in n 1.858 * [taylor]: Taking taylor expansion of n in n 1.858 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.858 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.858 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.858 * [taylor]: Taking taylor expansion of 1.0 in n 1.858 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.858 * [taylor]: Taking taylor expansion of 2.0 in n 1.862 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 3))) (* 0.25 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)))) in n 1.862 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 3))) in n 1.862 * [taylor]: Taking taylor expansion of 1.0 in n 1.862 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 3)) in n 1.862 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) in n 1.862 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.862 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.862 * [taylor]: Taking taylor expansion of 0.25 in n 1.862 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.862 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.862 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.862 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.862 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.862 * [taylor]: Taking taylor expansion of 1.0 in n 1.862 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.862 * [taylor]: Taking taylor expansion of 2.0 in n 1.862 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.862 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.862 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.862 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.862 * [taylor]: Taking taylor expansion of 1.0 in n 1.862 * [taylor]: Taking taylor expansion of (log n) in n 1.862 * [taylor]: Taking taylor expansion of n in n 1.862 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.862 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.862 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.863 * [taylor]: Taking taylor expansion of 1.0 in n 1.863 * [taylor]: Taking taylor expansion of (log PI) in n 1.863 * [taylor]: Taking taylor expansion of PI in n 1.863 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.863 * [taylor]: Taking taylor expansion of NAN in n 1.863 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))) in n 1.863 * [taylor]: Taking taylor expansion of 0.25 in n 1.863 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)) in n 1.864 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 1.864 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.864 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.864 * [taylor]: Taking taylor expansion of 2.0 in n 1.864 * [taylor]: Taking taylor expansion of (* n PI) in n 1.864 * [taylor]: Taking taylor expansion of n in n 1.864 * [taylor]: Taking taylor expansion of PI in n 1.864 * [taylor]: Taking taylor expansion of NAN in n 1.864 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) in n 1.864 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.864 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.864 * [taylor]: Taking taylor expansion of 0.25 in n 1.864 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.864 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.864 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.864 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.864 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.864 * [taylor]: Taking taylor expansion of 1.0 in n 1.864 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.864 * [taylor]: Taking taylor expansion of 2.0 in n 1.864 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.864 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.864 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.864 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.864 * [taylor]: Taking taylor expansion of 1.0 in n 1.864 * [taylor]: Taking taylor expansion of (log n) in n 1.864 * [taylor]: Taking taylor expansion of n in n 1.864 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.864 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.864 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.864 * [taylor]: Taking taylor expansion of 1.0 in n 1.864 * [taylor]: Taking taylor expansion of (log PI) in n 1.864 * [taylor]: Taking taylor expansion of PI in n 1.876 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 5))) (* 0.03125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)))) (* 0.25 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)))) in n 1.876 * [taylor]: Taking taylor expansion of (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 5))) (* 0.03125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)))) in n 1.876 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 5))) in n 1.876 * [taylor]: Taking taylor expansion of 1.0 in n 1.876 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 5)) in n 1.876 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) in n 1.876 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.876 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.876 * [taylor]: Taking taylor expansion of 0.25 in n 1.876 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.876 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.876 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.876 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.876 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.876 * [taylor]: Taking taylor expansion of 1.0 in n 1.876 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.876 * [taylor]: Taking taylor expansion of 2.0 in n 1.876 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.876 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.876 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.876 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.876 * [taylor]: Taking taylor expansion of 1.0 in n 1.876 * [taylor]: Taking taylor expansion of (log n) in n 1.876 * [taylor]: Taking taylor expansion of n in n 1.876 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.876 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.876 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.876 * [taylor]: Taking taylor expansion of 1.0 in n 1.876 * [taylor]: Taking taylor expansion of (log PI) in n 1.876 * [taylor]: Taking taylor expansion of PI in n 1.877 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.877 * [taylor]: Taking taylor expansion of NAN in n 1.877 * [taylor]: Taking taylor expansion of (* 0.03125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))) in n 1.877 * [taylor]: Taking taylor expansion of 0.03125 in n 1.877 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)) in n 1.877 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 1.877 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 1.877 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.877 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.877 * [taylor]: Taking taylor expansion of 2.0 in n 1.877 * [taylor]: Taking taylor expansion of (* n PI) in n 1.877 * [taylor]: Taking taylor expansion of n in n 1.877 * [taylor]: Taking taylor expansion of PI in n 1.878 * [taylor]: Taking taylor expansion of NAN in n 1.878 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) in n 1.878 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.878 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.878 * [taylor]: Taking taylor expansion of 0.25 in n 1.878 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.878 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.878 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.878 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.878 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.878 * [taylor]: Taking taylor expansion of 1.0 in n 1.878 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.878 * [taylor]: Taking taylor expansion of 2.0 in n 1.878 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.878 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.878 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.878 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.878 * [taylor]: Taking taylor expansion of 1.0 in n 1.878 * [taylor]: Taking taylor expansion of (log n) in n 1.878 * [taylor]: Taking taylor expansion of n in n 1.878 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.878 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.878 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.878 * [taylor]: Taking taylor expansion of 1.0 in n 1.878 * [taylor]: Taking taylor expansion of (log PI) in n 1.878 * [taylor]: Taking taylor expansion of PI in n 1.879 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))) in n 1.879 * [taylor]: Taking taylor expansion of 0.25 in n 1.879 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)) in n 1.879 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 1.879 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.879 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.879 * [taylor]: Taking taylor expansion of 2.0 in n 1.879 * [taylor]: Taking taylor expansion of (* n PI) in n 1.879 * [taylor]: Taking taylor expansion of n in n 1.879 * [taylor]: Taking taylor expansion of PI in n 1.879 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.879 * [taylor]: Taking taylor expansion of NAN in n 1.879 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) in n 1.879 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.880 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.880 * [taylor]: Taking taylor expansion of 0.25 in n 1.880 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.880 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.880 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.880 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.880 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.880 * [taylor]: Taking taylor expansion of 1.0 in n 1.880 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.880 * [taylor]: Taking taylor expansion of 2.0 in n 1.880 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.880 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.880 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.880 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.880 * [taylor]: Taking taylor expansion of 1.0 in n 1.880 * [taylor]: Taking taylor expansion of (log n) in n 1.880 * [taylor]: Taking taylor expansion of n in n 1.880 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.880 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.880 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.880 * [taylor]: Taking taylor expansion of 1.0 in n 1.880 * [taylor]: Taking taylor expansion of (log PI) in n 1.880 * [taylor]: Taking taylor expansion of PI in n 1.895 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))))) in (k n) around 0 1.895 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))))) in n 1.895 * [taylor]: Taking taylor expansion of 1.0 in n 1.895 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k))))) in n 1.895 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.895 * [taylor]: Taking taylor expansion of k in n 1.895 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.895 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.895 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.895 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.895 * [taylor]: Taking taylor expansion of 0.25 in n 1.895 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.895 * [taylor]: Taking taylor expansion of 1.0 in n 1.895 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.895 * [taylor]: Taking taylor expansion of k in n 1.895 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.895 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.895 * [taylor]: Taking taylor expansion of 2.0 in n 1.895 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.895 * [taylor]: Taking taylor expansion of PI in n 1.895 * [taylor]: Taking taylor expansion of n in n 1.896 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))))) in k 1.896 * [taylor]: Taking taylor expansion of 1.0 in k 1.896 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k))))) in k 1.896 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.896 * [taylor]: Taking taylor expansion of k in k 1.896 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.896 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.896 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.896 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.896 * [taylor]: Taking taylor expansion of 0.25 in k 1.896 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.896 * [taylor]: Taking taylor expansion of 1.0 in k 1.896 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.896 * [taylor]: Taking taylor expansion of k in k 1.896 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.896 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.896 * [taylor]: Taking taylor expansion of 2.0 in k 1.896 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.896 * [taylor]: Taking taylor expansion of PI in k 1.896 * [taylor]: Taking taylor expansion of n in k 1.896 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))))) in k 1.896 * [taylor]: Taking taylor expansion of 1.0 in k 1.896 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k))))) in k 1.896 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.896 * [taylor]: Taking taylor expansion of k in k 1.896 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.896 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.896 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.896 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.896 * [taylor]: Taking taylor expansion of 0.25 in k 1.896 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.896 * [taylor]: Taking taylor expansion of 1.0 in k 1.896 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.897 * [taylor]: Taking taylor expansion of k in k 1.897 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.897 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.897 * [taylor]: Taking taylor expansion of 2.0 in k 1.897 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.897 * [taylor]: Taking taylor expansion of PI in k 1.897 * [taylor]: Taking taylor expansion of n in k 1.897 * [taylor]: Taking taylor expansion of 0 in n 1.897 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.897 * [taylor]: Taking taylor expansion of 1.0 in n 1.897 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.897 * [taylor]: Taking taylor expansion of NAN in n 1.897 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.897 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.897 * [taylor]: Taking taylor expansion of 0.25 in n 1.897 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.898 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.898 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.898 * [taylor]: Taking taylor expansion of 2.0 in n 1.898 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.898 * [taylor]: Taking taylor expansion of PI in n 1.898 * [taylor]: Taking taylor expansion of n in n 1.898 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.898 * [taylor]: Taking taylor expansion of 1.0 in n 1.898 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.898 * [taylor]: Taking taylor expansion of k in n 1.899 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.899 * [taylor]: Taking taylor expansion of 1.0 in n 1.899 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.899 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.899 * [taylor]: Taking taylor expansion of NAN in n 1.899 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.899 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.899 * [taylor]: Taking taylor expansion of 0.25 in n 1.899 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.899 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.899 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.899 * [taylor]: Taking taylor expansion of 2.0 in n 1.899 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.899 * [taylor]: Taking taylor expansion of PI in n 1.899 * [taylor]: Taking taylor expansion of n in n 1.899 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.899 * [taylor]: Taking taylor expansion of 1.0 in n 1.899 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.899 * [taylor]: Taking taylor expansion of k in n 1.902 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.902 * [taylor]: Taking taylor expansion of 1.0 in n 1.902 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.902 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.902 * [taylor]: Taking taylor expansion of NAN in n 1.902 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.902 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.902 * [taylor]: Taking taylor expansion of 0.25 in n 1.902 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.902 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.902 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.902 * [taylor]: Taking taylor expansion of 2.0 in n 1.902 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.902 * [taylor]: Taking taylor expansion of PI in n 1.902 * [taylor]: Taking taylor expansion of n in n 1.902 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.902 * [taylor]: Taking taylor expansion of 1.0 in n 1.902 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.902 * [taylor]: Taking taylor expansion of k in n 1.904 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 1.904 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 1.904 * [taylor]: Taking taylor expansion of 1.0 in n 1.904 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 1.904 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.904 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.904 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.904 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.904 * [taylor]: Taking taylor expansion of 0.25 in n 1.905 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.905 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.905 * [taylor]: Taking taylor expansion of k in n 1.905 * [taylor]: Taking taylor expansion of 1.0 in n 1.905 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.905 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.905 * [taylor]: Taking taylor expansion of -2.0 in n 1.905 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.905 * [taylor]: Taking taylor expansion of PI in n 1.905 * [taylor]: Taking taylor expansion of n in n 1.905 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.905 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.905 * [taylor]: Taking taylor expansion of -1 in n 1.905 * [taylor]: Taking taylor expansion of k in n 1.905 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.905 * [taylor]: Taking taylor expansion of 1.0 in k 1.905 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.905 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.905 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.905 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.905 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.906 * [taylor]: Taking taylor expansion of 0.25 in k 1.906 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.906 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.906 * [taylor]: Taking taylor expansion of k in k 1.906 * [taylor]: Taking taylor expansion of 1.0 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 (sqrt (/ -1 k)) in k 1.906 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.906 * [taylor]: Taking taylor expansion of -1 in k 1.906 * [taylor]: Taking taylor expansion of k in k 1.906 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.906 * [taylor]: Taking taylor expansion of 1.0 in k 1.906 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.906 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.906 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.906 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.906 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.906 * [taylor]: Taking taylor expansion of 0.25 in k 1.906 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.906 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.906 * [taylor]: Taking taylor expansion of k in k 1.906 * [taylor]: Taking taylor expansion of 1.0 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 1.907 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.907 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.907 * [taylor]: Taking taylor expansion of -1 in k 1.907 * [taylor]: Taking taylor expansion of k in k 1.907 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 1.907 * [taylor]: Taking taylor expansion of 1.0 in n 1.907 * [taylor]: Taking taylor expansion of (/ (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 1.907 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.907 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.907 * [taylor]: Taking taylor expansion of 0.25 in n 1.907 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.907 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.907 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.907 * [taylor]: Taking taylor expansion of k in n 1.907 * [taylor]: Taking taylor expansion of 1.0 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 1.908 * [taylor]: Taking taylor expansion of NAN in n 1.909 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* NAN (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n 1.909 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 1.909 * [taylor]: Taking taylor expansion of 1.0 in n 1.909 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 1.909 * [taylor]: Taking taylor expansion of NAN in n 1.909 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.909 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.909 * [taylor]: Taking taylor expansion of 0.25 in n 1.909 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.909 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.909 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.909 * [taylor]: Taking taylor expansion of k in n 1.909 * [taylor]: Taking taylor expansion of 1.0 in n 1.909 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.909 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.909 * [taylor]: Taking taylor expansion of -2.0 in n 1.909 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.909 * [taylor]: Taking taylor expansion of PI in n 1.909 * [taylor]: Taking taylor expansion of n in n 1.911 * [taylor]: Taking taylor expansion of 0 in n 1.914 * [taylor]: Taking taylor expansion of 0 in n 1.915 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.915 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.915 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.915 * [taylor]: Taking taylor expansion of 2.0 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 (* 2.0 (* n PI)) in n 1.915 * [taylor]: Taking taylor expansion of 2.0 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 1.916 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.916 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.916 * [taylor]: Taking taylor expansion of 2.0 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 (* 2.0 (/ PI n)) in n 1.916 * [taylor]: Taking taylor expansion of 2.0 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 1.917 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.917 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.917 * [taylor]: Taking taylor expansion of -2.0 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 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.917 * [taylor]: Taking taylor expansion of -2.0 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 1.918 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.918 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.918 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.918 * [taylor]: Taking taylor expansion of 2.0 in n 1.918 * [taylor]: Taking taylor expansion of (* n PI) in n 1.918 * [taylor]: Taking taylor expansion of n in n 1.918 * [taylor]: Taking taylor expansion of PI in n 1.918 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.918 * [taylor]: Taking taylor expansion of 2.0 in n 1.918 * [taylor]: Taking taylor expansion of (* n PI) in n 1.918 * [taylor]: Taking taylor expansion of n in n 1.918 * [taylor]: Taking taylor expansion of PI in n 1.919 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.919 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.919 * [taylor]: Taking taylor expansion of 2.0 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 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.919 * [taylor]: Taking taylor expansion of 2.0 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 1.920 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.920 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.920 * [taylor]: Taking taylor expansion of -2.0 in n 1.920 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.920 * [taylor]: Taking taylor expansion of PI in n 1.920 * [taylor]: Taking taylor expansion of n in n 1.920 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.920 * [taylor]: Taking taylor expansion of -2.0 in n 1.920 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.920 * [taylor]: Taking taylor expansion of PI in n 1.920 * [taylor]: Taking taylor expansion of n in n 1.921 * * * [progress]: simplifying candidates 1.924 * [simplify]: Simplifying using # : (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (+ (* 1.0 NAN) (* 1.0 (* k (pow NAN 3))))) (+ (* 1.0 (/ (pow NAN 5) (pow k 3))) (+ (* 1.0 (/ (pow NAN 3) (pow k 2))) (* 1.0 (/ NAN k)))) (+ (* 1.0 (/ NAN k)) (* 1.0 (/ 1 NAN))) (- (+ (* 0.03125 (* (* (pow k 2) (* NAN (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.25))) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.25))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.25))) (+ (* 0.0625 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.25) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.25) NAN)) (* 0.03125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.25)))))))) (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.25))) (+ (* 0.25 (* (* k (* NAN (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.25))) (+ (* 0.25 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.25))) (* 0.25 (* (* (pow k 2) (* (pow NAN 3) (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.25))))))) (+ (* 1.0 (/ (* (pow NAN 3) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))) (pow k 2))) (+ (* 1.0 (/ (* NAN (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))) k)) (* 1.0 (/ (* (pow NAN 5) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))) (pow k 3))))) (+ (* 1.0 (/ (* NAN (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k)) (* 1.0 (/ (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 1.951 * * [simplify]: iteration 0 : 5476 enodes (cost 2145 ) 1.958 * [simplify]: Simplified to: (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (log (* (/ 1.0 (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)))) (pow (exp (/ 1.0 (sqrt k))) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (/ 1.0 (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (/ 1.0 (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)))) (* 1.0 (pow (* n (* 2.0 PI)) (/ (/ 1.0 2.0) 2))) (* (sqrt k) (pow (* n (* 2.0 PI)) (/ (/ k 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* n (* 2.0 PI)) (/ (- 1.0 k) (* 4 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* n (* 2.0 PI)) (/ (- 1.0 k) (* 4 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* n (* 2.0 PI)) (/ (- 1.0 k) (* 4 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* n (* 2.0 PI)) (/ (- 1.0 k) (* 4 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* n (* 2.0 PI)) (/ (- 1.0 k) (* 4 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* n (* 2.0 PI)) (/ (- 1.0 k) (* 4 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* n (* 2.0 PI)) (/ (- 1.0 k) (* 4 2.0)))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) (/ (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* n (* 2.0 PI)) (/ (/ 1.0 2.0) 2))) (* 1.0 (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (log (* n (* 2.0 PI))) (log (* n (* 2.0 PI))) (log (* n (* 2.0 PI))) (exp (* n (* 2.0 PI))) (pow (* n (* 2.0 PI)) 3) (pow (* n (* 2.0 PI)) 3) (* (cbrt (* n (* 2.0 PI))) (cbrt (* n (* 2.0 PI)))) (cbrt (* n (* 2.0 PI))) (pow (* n (* 2.0 PI)) 3) (sqrt (* n (* 2.0 PI))) (sqrt (* n (* 2.0 PI))) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (log (* n (* 2.0 PI))) (log (* n (* 2.0 PI))) (log (* n (* 2.0 PI))) (exp (* n (* 2.0 PI))) (pow (* n (* 2.0 PI)) 3) (pow (* n (* 2.0 PI)) 3) (* (cbrt (* n (* 2.0 PI))) (cbrt (* n (* 2.0 PI)))) (cbrt (* n (* 2.0 PI))) (pow (* n (* 2.0 PI)) 3) (sqrt (* n (* 2.0 PI))) (sqrt (* n (* 2.0 PI))) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* 1.0 (+ (* (* k k) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (* k k)) (/ NAN k)))) (+ (* 1.0 (/ NAN k)) (/ 1.0 NAN)) (- (+ (* 0.03125 (* (* (* k k) (* NAN (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0))) 0.25))) (+ (+ (* 0.0625 (* (pow (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0))) 0.25) (* NAN (* (log (* 2.0 PI)) (* (log n) (* k k)))))) (+ (* 1.0 (* NAN (pow (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0))) 0.25))) (* 0.03125 (* (pow (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0))) 0.25) (* (* k k) (* NAN (pow (log (* 2.0 PI)) 2))))))) (* (pow (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0))) 0.25) (+ (* 1.0 (* (* k k) (pow NAN 5))) (* 1.0 (* k (pow NAN 3))))))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0))) 0.25) (+ (* k (* (log (* 2.0 PI)) NAN)) (* (* k k) (* (log n) (pow NAN 3)))))) (* (pow (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0))) 0.25) (+ (* 0.25 (* (log (* 2.0 PI)) (* k (* k (pow NAN 3))))) (* 0.25 (* k (* (log n) NAN))))))) (* 1.0 (+ (* (/ (pow NAN 3) (* k k)) (pow (* n (* 2.0 PI)) (* (- 1.0 k) 0.25))) (+ (* (/ NAN k) (pow (* n (* 2.0 PI)) (* (- 1.0 k) 0.25))) (* (/ (pow NAN 5) (pow k 3)) (pow (* n (* 2.0 PI)) (* (- 1.0 k) 0.25)))))) (* 1.0 (+ (* (/ NAN k) (exp (* 0.25 (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))))) (/ (exp (* 0.25 (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n)))))) NAN))) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (* n (* 2.0 PI)) 1.959 * * * [progress]: adding candidates to table 2.350 * * [progress]: iteration 4 / 4 2.350 * * * [progress]: picking best candidate 2.383 * * * * [pick]: Picked # 2.383 * * * [progress]: localizing error 2.400 * * * [progress]: generating rewritten candidates 2.400 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 2.407 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.417 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.420 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.442 * * * [progress]: generating series expansions 2.442 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 2.442 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 2.443 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.443 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.443 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.443 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.443 * [taylor]: Taking taylor expansion of 0.5 in k 2.443 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.443 * [taylor]: Taking taylor expansion of 1.0 in k 2.443 * [taylor]: Taking taylor expansion of k in k 2.443 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.443 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.443 * [taylor]: Taking taylor expansion of 2.0 in k 2.443 * [taylor]: Taking taylor expansion of PI in k 2.443 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.443 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.443 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.443 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.443 * [taylor]: Taking taylor expansion of 0.5 in k 2.443 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.443 * [taylor]: Taking taylor expansion of 1.0 in k 2.443 * [taylor]: Taking taylor expansion of k in k 2.443 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.443 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.443 * [taylor]: Taking taylor expansion of 2.0 in k 2.443 * [taylor]: Taking taylor expansion of PI in k 2.445 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 2.445 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.445 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.445 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.445 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.445 * [taylor]: Taking taylor expansion of 0.5 in k 2.445 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.445 * [taylor]: Taking taylor expansion of 1.0 in k 2.446 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.446 * [taylor]: Taking taylor expansion of k in k 2.446 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.446 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.446 * [taylor]: Taking taylor expansion of 2.0 in k 2.446 * [taylor]: Taking taylor expansion of PI in k 2.446 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.446 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.446 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.446 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.446 * [taylor]: Taking taylor expansion of 0.5 in k 2.446 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.446 * [taylor]: Taking taylor expansion of 1.0 in k 2.446 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.446 * [taylor]: Taking taylor expansion of k in k 2.446 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.446 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.446 * [taylor]: Taking taylor expansion of 2.0 in k 2.446 * [taylor]: Taking taylor expansion of PI in k 2.447 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 2.447 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.447 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.447 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.447 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.447 * [taylor]: Taking taylor expansion of 0.5 in k 2.447 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.447 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.447 * [taylor]: Taking taylor expansion of k in k 2.447 * [taylor]: Taking taylor expansion of 1.0 in k 2.447 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.447 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.447 * [taylor]: Taking taylor expansion of 2.0 in k 2.447 * [taylor]: Taking taylor expansion of PI in k 2.447 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.447 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.447 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.447 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.447 * [taylor]: Taking taylor expansion of 0.5 in k 2.447 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.447 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.447 * [taylor]: Taking taylor expansion of k in k 2.447 * [taylor]: Taking taylor expansion of 1.0 in k 2.447 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.447 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.447 * [taylor]: Taking taylor expansion of 2.0 in k 2.447 * [taylor]: Taking taylor expansion of PI in k 2.448 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.448 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 2.448 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 2.448 * [taylor]: Taking taylor expansion of 1.0 in k 2.448 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 2.448 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.448 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.448 * [taylor]: Taking taylor expansion of k in k 2.448 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.448 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.448 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.448 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.448 * [taylor]: Taking taylor expansion of 0.5 in k 2.448 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.448 * [taylor]: Taking taylor expansion of 1.0 in k 2.448 * [taylor]: Taking taylor expansion of k in k 2.448 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.448 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.448 * [taylor]: Taking taylor expansion of 2.0 in k 2.448 * [taylor]: Taking taylor expansion of PI in k 2.448 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 2.448 * [taylor]: Taking taylor expansion of 1.0 in k 2.448 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 2.448 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.448 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.448 * [taylor]: Taking taylor expansion of k in k 2.448 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.448 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.448 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.449 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.449 * [taylor]: Taking taylor expansion of 0.5 in k 2.449 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.449 * [taylor]: Taking taylor expansion of 1.0 in k 2.449 * [taylor]: Taking taylor expansion of k in k 2.449 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.449 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.449 * [taylor]: Taking taylor expansion of 2.0 in k 2.449 * [taylor]: Taking taylor expansion of PI in k 2.458 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 2.458 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.458 * [taylor]: Taking taylor expansion of 1.0 in k 2.458 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.458 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.458 * [taylor]: Taking taylor expansion of k in k 2.459 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.459 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.459 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.459 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.459 * [taylor]: Taking taylor expansion of 0.5 in k 2.459 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.459 * [taylor]: Taking taylor expansion of 1.0 in k 2.459 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.459 * [taylor]: Taking taylor expansion of k in k 2.459 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.459 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.459 * [taylor]: Taking taylor expansion of 2.0 in k 2.459 * [taylor]: Taking taylor expansion of PI in k 2.459 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.459 * [taylor]: Taking taylor expansion of 1.0 in k 2.459 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.459 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.459 * [taylor]: Taking taylor expansion of k in k 2.459 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.459 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.459 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.459 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.459 * [taylor]: Taking taylor expansion of 0.5 in k 2.459 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.459 * [taylor]: Taking taylor expansion of 1.0 in k 2.459 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.459 * [taylor]: Taking taylor expansion of k in k 2.459 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.459 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.459 * [taylor]: Taking taylor expansion of 2.0 in k 2.459 * [taylor]: Taking taylor expansion of PI in k 2.462 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 2.462 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.462 * [taylor]: Taking taylor expansion of 1.0 in k 2.462 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.462 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.462 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.463 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.463 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.463 * [taylor]: Taking taylor expansion of 0.5 in k 2.463 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.463 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.463 * [taylor]: Taking taylor expansion of k in k 2.463 * [taylor]: Taking taylor expansion of 1.0 in k 2.463 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.463 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.463 * [taylor]: Taking taylor expansion of 2.0 in k 2.463 * [taylor]: Taking taylor expansion of PI in k 2.463 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.463 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.463 * [taylor]: Taking taylor expansion of -1 in k 2.463 * [taylor]: Taking taylor expansion of k in k 2.463 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.463 * [taylor]: Taking taylor expansion of 1.0 in k 2.463 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.463 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.463 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.463 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.463 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.463 * [taylor]: Taking taylor expansion of 0.5 in k 2.463 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.463 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.463 * [taylor]: Taking taylor expansion of k in k 2.463 * [taylor]: Taking taylor expansion of 1.0 in k 2.463 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.463 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.463 * [taylor]: Taking taylor expansion of 2.0 in k 2.463 * [taylor]: Taking taylor expansion of PI in k 2.464 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.464 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.464 * [taylor]: Taking taylor expansion of -1 in k 2.464 * [taylor]: Taking taylor expansion of k in k 2.472 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.472 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.472 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.472 * [taylor]: Taking taylor expansion of 1.0 in k 2.472 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.472 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.472 * [taylor]: Taking taylor expansion of k in k 2.472 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.472 * [taylor]: Taking taylor expansion of 1.0 in k 2.472 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.472 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.472 * [taylor]: Taking taylor expansion of k in k 2.473 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.473 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.473 * [taylor]: Taking taylor expansion of 1.0 in k 2.473 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.473 * [taylor]: Taking taylor expansion of k in k 2.473 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.473 * [taylor]: Taking taylor expansion of 1.0 in k 2.473 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.473 * [taylor]: Taking taylor expansion of k in k 2.474 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.474 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.474 * [taylor]: Taking taylor expansion of 1.0 in k 2.474 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.475 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.475 * [taylor]: Taking taylor expansion of -1 in k 2.475 * [taylor]: Taking taylor expansion of k in k 2.475 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.475 * [taylor]: Taking taylor expansion of 1.0 in k 2.475 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.475 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.475 * [taylor]: Taking taylor expansion of -1 in k 2.475 * [taylor]: Taking taylor expansion of k in k 2.480 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.480 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in (k n) around 0 2.480 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in n 2.480 * [taylor]: Taking taylor expansion of 1.0 in n 2.480 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in n 2.480 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.480 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.480 * [taylor]: Taking taylor expansion of k in n 2.480 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 2.480 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 2.480 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 2.480 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 2.480 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.480 * [taylor]: Taking taylor expansion of 0.5 in n 2.480 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.480 * [taylor]: Taking taylor expansion of 1.0 in n 2.480 * [taylor]: Taking taylor expansion of k in n 2.480 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.480 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.480 * [taylor]: Taking taylor expansion of 2.0 in n 2.480 * [taylor]: Taking taylor expansion of PI in n 2.481 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.481 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.481 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.481 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.481 * [taylor]: Taking taylor expansion of 0.5 in n 2.481 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.481 * [taylor]: Taking taylor expansion of 1.0 in n 2.481 * [taylor]: Taking taylor expansion of k in n 2.481 * [taylor]: Taking taylor expansion of (log n) in n 2.481 * [taylor]: Taking taylor expansion of n in n 2.481 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 2.481 * [taylor]: Taking taylor expansion of 1.0 in k 2.481 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 2.481 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.481 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.481 * [taylor]: Taking taylor expansion of k in k 2.481 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 2.481 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.481 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.481 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.481 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.481 * [taylor]: Taking taylor expansion of 0.5 in k 2.481 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.481 * [taylor]: Taking taylor expansion of 1.0 in k 2.481 * [taylor]: Taking taylor expansion of k in k 2.481 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.481 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.481 * [taylor]: Taking taylor expansion of 2.0 in k 2.481 * [taylor]: Taking taylor expansion of PI in k 2.481 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.481 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.482 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.482 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.482 * [taylor]: Taking taylor expansion of 0.5 in k 2.482 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.482 * [taylor]: Taking taylor expansion of 1.0 in k 2.482 * [taylor]: Taking taylor expansion of k in k 2.482 * [taylor]: Taking taylor expansion of (log n) in k 2.482 * [taylor]: Taking taylor expansion of n in k 2.482 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 2.482 * [taylor]: Taking taylor expansion of 1.0 in k 2.482 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 2.482 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.482 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.482 * [taylor]: Taking taylor expansion of k in k 2.482 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 2.482 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.482 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.482 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.482 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.482 * [taylor]: Taking taylor expansion of 0.5 in k 2.482 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.482 * [taylor]: Taking taylor expansion of 1.0 in k 2.482 * [taylor]: Taking taylor expansion of k in k 2.482 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.482 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.482 * [taylor]: Taking taylor expansion of 2.0 in k 2.482 * [taylor]: Taking taylor expansion of PI in k 2.482 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.482 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.482 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.482 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.482 * [taylor]: Taking taylor expansion of 0.5 in k 2.482 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.482 * [taylor]: Taking taylor expansion of 1.0 in k 2.482 * [taylor]: Taking taylor expansion of k in k 2.482 * [taylor]: Taking taylor expansion of (log n) in k 2.482 * [taylor]: Taking taylor expansion of n in k 2.483 * [taylor]: Taking taylor expansion of 0 in n 2.485 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.485 * [taylor]: Taking taylor expansion of 1.0 in n 2.485 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.485 * [taylor]: Taking taylor expansion of NAN in n 2.485 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.485 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.485 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.485 * [taylor]: Taking taylor expansion of 0.5 in n 2.485 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.485 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.485 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.485 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.485 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.485 * [taylor]: Taking taylor expansion of 1.0 in n 2.485 * [taylor]: Taking taylor expansion of (log PI) in n 2.485 * [taylor]: Taking taylor expansion of PI in n 2.485 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.485 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.485 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.485 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.485 * [taylor]: Taking taylor expansion of 1.0 in n 2.485 * [taylor]: Taking taylor expansion of (log n) in n 2.485 * [taylor]: Taking taylor expansion of n in n 2.486 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.486 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.486 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.486 * [taylor]: Taking taylor expansion of 1.0 in n 2.486 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.486 * [taylor]: Taking taylor expansion of 2.0 in n 2.492 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) (+ (* 0.5 (* (* (log (* 2.0 PI)) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (log n)))))) in n 2.492 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) in n 2.492 * [taylor]: Taking taylor expansion of 1.0 in n 2.492 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) in n 2.492 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.492 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.492 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.492 * [taylor]: Taking taylor expansion of 0.5 in n 2.492 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.493 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.493 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.493 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.493 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.493 * [taylor]: Taking taylor expansion of 1.0 in n 2.493 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.493 * [taylor]: Taking taylor expansion of 2.0 in n 2.493 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.493 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.493 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.493 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.493 * [taylor]: Taking taylor expansion of 1.0 in n 2.493 * [taylor]: Taking taylor expansion of (log n) in n 2.493 * [taylor]: Taking taylor expansion of n in n 2.493 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.493 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.493 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.493 * [taylor]: Taking taylor expansion of 1.0 in n 2.493 * [taylor]: Taking taylor expansion of (log PI) in n 2.493 * [taylor]: Taking taylor expansion of PI in n 2.494 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.494 * [taylor]: Taking taylor expansion of NAN in n 2.494 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (* (log (* 2.0 PI)) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (log n))))) in n 2.494 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 PI)) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.494 * [taylor]: Taking taylor expansion of 0.5 in n 2.494 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.494 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) NAN) in n 2.494 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.494 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.494 * [taylor]: Taking taylor expansion of 2.0 in n 2.494 * [taylor]: Taking taylor expansion of PI in n 2.494 * [taylor]: Taking taylor expansion of NAN in n 2.494 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.494 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.494 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.494 * [taylor]: Taking taylor expansion of 0.5 in n 2.494 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.494 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.494 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.495 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.495 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.495 * [taylor]: Taking taylor expansion of 1.0 in n 2.495 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.495 * [taylor]: Taking taylor expansion of 2.0 in n 2.495 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.495 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.495 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.495 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.495 * [taylor]: Taking taylor expansion of 1.0 in n 2.495 * [taylor]: Taking taylor expansion of (log n) in n 2.495 * [taylor]: Taking taylor expansion of n in n 2.495 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.495 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.495 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.495 * [taylor]: Taking taylor expansion of 1.0 in n 2.495 * [taylor]: Taking taylor expansion of (log PI) in n 2.495 * [taylor]: Taking taylor expansion of PI in n 2.496 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (log n)))) in n 2.496 * [taylor]: Taking taylor expansion of 0.5 in n 2.496 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (log n))) in n 2.496 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 2.496 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 2.496 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 2.496 * [taylor]: Taking taylor expansion of 0.5 in n 2.496 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 2.496 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 2.496 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.496 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.496 * [taylor]: Taking taylor expansion of 1.0 in n 2.496 * [taylor]: Taking taylor expansion of (log PI) in n 2.496 * [taylor]: Taking taylor expansion of PI in n 2.496 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 2.496 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.496 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.496 * [taylor]: Taking taylor expansion of 1.0 in n 2.496 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.496 * [taylor]: Taking taylor expansion of 2.0 in n 2.496 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.496 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.496 * [taylor]: Taking taylor expansion of 1.0 in n 2.496 * [taylor]: Taking taylor expansion of (log n) in n 2.496 * [taylor]: Taking taylor expansion of n in n 2.497 * [taylor]: Taking taylor expansion of (* NAN (log n)) in n 2.497 * [taylor]: Taking taylor expansion of NAN in n 2.497 * [taylor]: Taking taylor expansion of (log n) in n 2.497 * [taylor]: Taking taylor expansion of n in n 2.520 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) NAN))) (+ (* 0.125 (* (* (pow (log n) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (pow NAN 3) (log n)))) (* 0.5 (* (* (log (* 2.0 PI)) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 2.520 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) NAN))) (+ (* 0.125 (* (* (pow (log n) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))))) in n 2.520 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) NAN))) in n 2.520 * [taylor]: Taking taylor expansion of 0.125 in n 2.520 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) NAN)) in n 2.520 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.520 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.520 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.520 * [taylor]: Taking taylor expansion of 0.5 in n 2.520 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.520 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.520 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.520 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.520 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.520 * [taylor]: Taking taylor expansion of 1.0 in n 2.520 * [taylor]: Taking taylor expansion of (log PI) in n 2.520 * [taylor]: Taking taylor expansion of PI in n 2.520 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.521 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.521 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.521 * [taylor]: Taking taylor expansion of 1.0 in n 2.521 * [taylor]: Taking taylor expansion of (log n) in n 2.521 * [taylor]: Taking taylor expansion of n in n 2.521 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.521 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.521 * [taylor]: Taking taylor expansion of 1.0 in n 2.521 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.521 * [taylor]: Taking taylor expansion of 2.0 in n 2.522 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) NAN) in n 2.522 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 2.522 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.522 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.522 * [taylor]: Taking taylor expansion of 2.0 in n 2.522 * [taylor]: Taking taylor expansion of PI in n 2.522 * [taylor]: Taking taylor expansion of NAN in n 2.522 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (* (pow (log n) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5))))) in n 2.522 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log n) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.522 * [taylor]: Taking taylor expansion of 0.125 in n 2.522 * [taylor]: Taking taylor expansion of (* (* (pow (log n) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.522 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) NAN) in n 2.522 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 2.522 * [taylor]: Taking taylor expansion of (log n) in n 2.522 * [taylor]: Taking taylor expansion of n in n 2.522 * [taylor]: Taking taylor expansion of NAN in n 2.522 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.522 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.522 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.522 * [taylor]: Taking taylor expansion of 0.5 in n 2.522 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.522 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.522 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.522 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.522 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.522 * [taylor]: Taking taylor expansion of 1.0 in n 2.522 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.522 * [taylor]: Taking taylor expansion of 2.0 in n 2.522 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.522 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.522 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.522 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.523 * [taylor]: Taking taylor expansion of 1.0 in n 2.523 * [taylor]: Taking taylor expansion of (log n) in n 2.523 * [taylor]: Taking taylor expansion of n in n 2.523 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.523 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.523 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.523 * [taylor]: Taking taylor expansion of 1.0 in n 2.523 * [taylor]: Taking taylor expansion of (log PI) in n 2.523 * [taylor]: Taking taylor expansion of PI in n 2.524 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) in n 2.524 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.524 * [taylor]: Taking taylor expansion of 0.25 in n 2.524 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.524 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (* (log n) NAN)) in n 2.524 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.524 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.524 * [taylor]: Taking taylor expansion of 2.0 in n 2.524 * [taylor]: Taking taylor expansion of PI in n 2.524 * [taylor]: Taking taylor expansion of (* (log n) NAN) in n 2.524 * [taylor]: Taking taylor expansion of (log n) in n 2.524 * [taylor]: Taking taylor expansion of n in n 2.524 * [taylor]: Taking taylor expansion of NAN in n 2.524 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.524 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.524 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.524 * [taylor]: Taking taylor expansion of 0.5 in n 2.524 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.524 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.524 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.524 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.524 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.524 * [taylor]: Taking taylor expansion of 1.0 in n 2.524 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.524 * [taylor]: Taking taylor expansion of 2.0 in n 2.524 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.524 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.524 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.524 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.524 * [taylor]: Taking taylor expansion of 1.0 in n 2.524 * [taylor]: Taking taylor expansion of (log n) in n 2.524 * [taylor]: Taking taylor expansion of n in n 2.524 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.524 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.525 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.525 * [taylor]: Taking taylor expansion of 1.0 in n 2.525 * [taylor]: Taking taylor expansion of (log PI) in n 2.525 * [taylor]: Taking taylor expansion of PI in n 2.525 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5))) in n 2.525 * [taylor]: Taking taylor expansion of 1.0 in n 2.525 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)) in n 2.525 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.525 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.526 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.526 * [taylor]: Taking taylor expansion of 0.5 in n 2.526 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.526 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.526 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.526 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.526 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.526 * [taylor]: Taking taylor expansion of 1.0 in n 2.526 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.526 * [taylor]: Taking taylor expansion of 2.0 in n 2.526 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.526 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.526 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.526 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.526 * [taylor]: Taking taylor expansion of 1.0 in n 2.526 * [taylor]: Taking taylor expansion of (log n) in n 2.526 * [taylor]: Taking taylor expansion of n in n 2.526 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.526 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.526 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.526 * [taylor]: Taking taylor expansion of 1.0 in n 2.526 * [taylor]: Taking taylor expansion of (log PI) in n 2.526 * [taylor]: Taking taylor expansion of PI in n 2.527 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 2.527 * [taylor]: Taking taylor expansion of NAN in n 2.527 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (pow NAN 3) (log n)))) (* 0.5 (* (* (log (* 2.0 PI)) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 2.527 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (pow NAN 3) (log n)))) in n 2.527 * [taylor]: Taking taylor expansion of 0.5 in n 2.527 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (pow NAN 3) (log n))) in n 2.527 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 2.527 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 2.527 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 2.527 * [taylor]: Taking taylor expansion of 0.5 in n 2.527 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 2.527 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 2.527 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.527 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.527 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.527 * [taylor]: Taking taylor expansion of 1.0 in n 2.527 * [taylor]: Taking taylor expansion of (log PI) in n 2.527 * [taylor]: Taking taylor expansion of PI in n 2.527 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 2.527 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.527 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.527 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.528 * [taylor]: Taking taylor expansion of 1.0 in n 2.528 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.528 * [taylor]: Taking taylor expansion of 2.0 in n 2.528 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.528 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.528 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.528 * [taylor]: Taking taylor expansion of 1.0 in n 2.528 * [taylor]: Taking taylor expansion of (log n) in n 2.528 * [taylor]: Taking taylor expansion of n in n 2.529 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (log n)) in n 2.529 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.529 * [taylor]: Taking taylor expansion of NAN in n 2.529 * [taylor]: Taking taylor expansion of (log n) in n 2.529 * [taylor]: Taking taylor expansion of n in n 2.529 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 PI)) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.529 * [taylor]: Taking taylor expansion of 0.5 in n 2.529 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.529 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow NAN 3)) in n 2.529 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.529 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.529 * [taylor]: Taking taylor expansion of 2.0 in n 2.529 * [taylor]: Taking taylor expansion of PI in n 2.529 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.529 * [taylor]: Taking taylor expansion of NAN in n 2.529 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.529 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.529 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.529 * [taylor]: Taking taylor expansion of 0.5 in n 2.529 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.529 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.529 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.529 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.529 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.529 * [taylor]: Taking taylor expansion of 1.0 in n 2.529 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.529 * [taylor]: Taking taylor expansion of 2.0 in n 2.529 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.529 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.529 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.529 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.529 * [taylor]: Taking taylor expansion of 1.0 in n 2.529 * [taylor]: Taking taylor expansion of (log n) in n 2.529 * [taylor]: Taking taylor expansion of n in n 2.530 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.530 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.530 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.530 * [taylor]: Taking taylor expansion of 1.0 in n 2.530 * [taylor]: Taking taylor expansion of (log PI) in n 2.530 * [taylor]: Taking taylor expansion of PI in n 2.561 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in (k n) around 0 2.561 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in n 2.561 * [taylor]: Taking taylor expansion of 1.0 in n 2.561 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.561 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.561 * [taylor]: Taking taylor expansion of k in n 2.561 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.561 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.561 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.561 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.561 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.561 * [taylor]: Taking taylor expansion of 0.5 in n 2.561 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.561 * [taylor]: Taking taylor expansion of 1.0 in n 2.561 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.561 * [taylor]: Taking taylor expansion of k in n 2.561 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.561 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.562 * [taylor]: Taking taylor expansion of n in n 2.562 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.562 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 2.562 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 2.562 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.562 * [taylor]: Taking taylor expansion of 0.5 in n 2.562 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.562 * [taylor]: Taking taylor expansion of 1.0 in n 2.562 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.562 * [taylor]: Taking taylor expansion of k in n 2.562 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.562 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.562 * [taylor]: Taking taylor expansion of 2.0 in n 2.562 * [taylor]: Taking taylor expansion of PI in n 2.562 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in k 2.562 * [taylor]: Taking taylor expansion of 1.0 in k 2.562 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.562 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.562 * [taylor]: Taking taylor expansion of k in k 2.562 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.562 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.563 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.563 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.563 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.563 * [taylor]: Taking taylor expansion of 0.5 in k 2.563 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.563 * [taylor]: Taking taylor expansion of 1.0 in k 2.563 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.563 * [taylor]: Taking taylor expansion of k in k 2.563 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.563 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.563 * [taylor]: Taking taylor expansion of n in k 2.563 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.563 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.563 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.563 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.563 * [taylor]: Taking taylor expansion of 0.5 in k 2.563 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.563 * [taylor]: Taking taylor expansion of 1.0 in k 2.563 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.563 * [taylor]: Taking taylor expansion of k in k 2.563 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.563 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.563 * [taylor]: Taking taylor expansion of 2.0 in k 2.563 * [taylor]: Taking taylor expansion of PI in k 2.563 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in k 2.563 * [taylor]: Taking taylor expansion of 1.0 in k 2.563 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.563 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.563 * [taylor]: Taking taylor expansion of k in k 2.563 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.563 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.563 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.563 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.563 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.564 * [taylor]: Taking taylor expansion of 0.5 in k 2.564 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.564 * [taylor]: Taking taylor expansion of 1.0 in k 2.564 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.564 * [taylor]: Taking taylor expansion of k in k 2.564 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.564 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.564 * [taylor]: Taking taylor expansion of n in k 2.564 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.564 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.564 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.564 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.564 * [taylor]: Taking taylor expansion of 0.5 in k 2.564 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.564 * [taylor]: Taking taylor expansion of 1.0 in k 2.564 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.564 * [taylor]: Taking taylor expansion of k in k 2.564 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.564 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.564 * [taylor]: Taking taylor expansion of 2.0 in k 2.564 * [taylor]: Taking taylor expansion of PI in k 2.565 * [taylor]: Taking taylor expansion of 0 in n 2.565 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) NAN))) in n 2.565 * [taylor]: Taking taylor expansion of 1.0 in n 2.565 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) NAN)) in n 2.565 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 2.565 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 2.565 * [taylor]: Taking taylor expansion of 0.5 in n 2.565 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 2.565 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.565 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.565 * [taylor]: Taking taylor expansion of n in n 2.565 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.565 * [taylor]: Taking taylor expansion of 1.0 in n 2.565 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.565 * [taylor]: Taking taylor expansion of k in n 2.566 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) NAN) in n 2.566 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 2.566 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 2.566 * [taylor]: Taking taylor expansion of 0.5 in n 2.566 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 2.566 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.566 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.566 * [taylor]: Taking taylor expansion of 2.0 in n 2.566 * [taylor]: Taking taylor expansion of PI in n 2.566 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.566 * [taylor]: Taking taylor expansion of 1.0 in n 2.566 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.566 * [taylor]: Taking taylor expansion of k in n 2.566 * [taylor]: Taking taylor expansion of NAN in n 2.568 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 3)))) in n 2.568 * [taylor]: Taking taylor expansion of 1.0 in n 2.568 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 3))) in n 2.568 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 2.568 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 2.568 * [taylor]: Taking taylor expansion of 0.5 in n 2.568 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 2.568 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.568 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.568 * [taylor]: Taking taylor expansion of n in n 2.568 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.568 * [taylor]: Taking taylor expansion of 1.0 in n 2.568 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.568 * [taylor]: Taking taylor expansion of k in n 2.569 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 3)) in n 2.569 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 2.569 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 2.569 * [taylor]: Taking taylor expansion of 0.5 in n 2.569 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 2.569 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.569 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.569 * [taylor]: Taking taylor expansion of 2.0 in n 2.569 * [taylor]: Taking taylor expansion of PI in n 2.569 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.569 * [taylor]: Taking taylor expansion of 1.0 in n 2.569 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.569 * [taylor]: Taking taylor expansion of k in n 2.569 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.569 * [taylor]: Taking taylor expansion of NAN in n 2.573 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 5)))) in n 2.573 * [taylor]: Taking taylor expansion of 1.0 in n 2.573 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 5))) in n 2.573 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 2.573 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 2.573 * [taylor]: Taking taylor expansion of 0.5 in n 2.573 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 2.573 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.573 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.573 * [taylor]: Taking taylor expansion of n in n 2.573 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.573 * [taylor]: Taking taylor expansion of 1.0 in n 2.573 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.573 * [taylor]: Taking taylor expansion of k in n 2.573 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 5)) in n 2.573 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 2.573 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 2.573 * [taylor]: Taking taylor expansion of 0.5 in n 2.573 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 2.573 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.573 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.573 * [taylor]: Taking taylor expansion of 2.0 in n 2.573 * [taylor]: Taking taylor expansion of PI in n 2.573 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.573 * [taylor]: Taking taylor expansion of 1.0 in n 2.573 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.573 * [taylor]: Taking taylor expansion of k in n 2.574 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 2.574 * [taylor]: Taking taylor expansion of NAN in n 2.576 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k n) around 0 2.576 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in n 2.576 * [taylor]: Taking taylor expansion of 1.0 in n 2.576 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 2.576 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 2.576 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.576 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.576 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.576 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.576 * [taylor]: Taking taylor expansion of 0.5 in n 2.576 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.576 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.576 * [taylor]: Taking taylor expansion of k in n 2.576 * [taylor]: Taking taylor expansion of 1.0 in n 2.576 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.576 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.576 * [taylor]: Taking taylor expansion of -1 in n 2.576 * [taylor]: Taking taylor expansion of n in n 2.577 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.577 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 2.577 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 2.577 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.577 * [taylor]: Taking taylor expansion of 0.5 in n 2.577 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.577 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.577 * [taylor]: Taking taylor expansion of k in n 2.577 * [taylor]: Taking taylor expansion of 1.0 in n 2.577 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.577 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.577 * [taylor]: Taking taylor expansion of 2.0 in n 2.577 * [taylor]: Taking taylor expansion of PI in n 2.577 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.577 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.577 * [taylor]: Taking taylor expansion of -1 in n 2.577 * [taylor]: Taking taylor expansion of k in n 2.578 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 2.578 * [taylor]: Taking taylor expansion of 1.0 in k 2.578 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 2.578 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.578 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.578 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.578 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.578 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.578 * [taylor]: Taking taylor expansion of 0.5 in k 2.578 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.578 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.578 * [taylor]: Taking taylor expansion of k in k 2.578 * [taylor]: Taking taylor expansion of 1.0 in k 2.578 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.578 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.578 * [taylor]: Taking taylor expansion of -1 in k 2.578 * [taylor]: Taking taylor expansion of n in k 2.578 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.578 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.578 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.578 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.578 * [taylor]: Taking taylor expansion of 0.5 in k 2.578 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.578 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.578 * [taylor]: Taking taylor expansion of k in k 2.578 * [taylor]: Taking taylor expansion of 1.0 in k 2.578 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.578 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.578 * [taylor]: Taking taylor expansion of 2.0 in k 2.578 * [taylor]: Taking taylor expansion of PI in k 2.579 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.579 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.579 * [taylor]: Taking taylor expansion of -1 in k 2.579 * [taylor]: Taking taylor expansion of k in k 2.579 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 2.579 * [taylor]: Taking taylor expansion of 1.0 in k 2.579 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 2.579 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.579 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.579 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.579 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.579 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.579 * [taylor]: Taking taylor expansion of 0.5 in k 2.579 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.579 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.579 * [taylor]: Taking taylor expansion of k in k 2.579 * [taylor]: Taking taylor expansion of 1.0 in k 2.579 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.579 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.579 * [taylor]: Taking taylor expansion of -1 in k 2.579 * [taylor]: Taking taylor expansion of n in k 2.580 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.580 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.580 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.580 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.580 * [taylor]: Taking taylor expansion of 0.5 in k 2.580 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.580 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.580 * [taylor]: Taking taylor expansion of k in k 2.580 * [taylor]: Taking taylor expansion of 1.0 in k 2.580 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.580 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.580 * [taylor]: Taking taylor expansion of 2.0 in k 2.580 * [taylor]: Taking taylor expansion of PI in k 2.580 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.580 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.580 * [taylor]: Taking taylor expansion of -1 in k 2.580 * [taylor]: Taking taylor expansion of k in k 2.581 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) NAN)) in n 2.581 * [taylor]: Taking taylor expansion of 1.0 in n 2.581 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) NAN) in n 2.581 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 2.581 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 2.581 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 2.581 * [taylor]: Taking taylor expansion of 0.5 in n 2.581 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 2.581 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.581 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.581 * [taylor]: Taking taylor expansion of k in n 2.581 * [taylor]: Taking taylor expansion of 1.0 in n 2.581 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.581 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.581 * [taylor]: Taking taylor expansion of -1 in n 2.581 * [taylor]: Taking taylor expansion of n in n 2.581 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 2.581 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 2.581 * [taylor]: Taking taylor expansion of 0.5 in n 2.581 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 2.581 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.581 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.581 * [taylor]: Taking taylor expansion of 2.0 in n 2.581 * [taylor]: Taking taylor expansion of PI in n 2.581 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.581 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.581 * [taylor]: Taking taylor expansion of k in n 2.581 * [taylor]: Taking taylor expansion of 1.0 in n 2.582 * [taylor]: Taking taylor expansion of NAN in n 2.583 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* NAN (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))))) in n 2.583 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* NAN (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) in n 2.583 * [taylor]: Taking taylor expansion of 1.0 in n 2.583 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* NAN (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) in n 2.584 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 2.584 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 2.584 * [taylor]: Taking taylor expansion of 0.5 in n 2.584 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 2.584 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.584 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.584 * [taylor]: Taking taylor expansion of 2.0 in n 2.584 * [taylor]: Taking taylor expansion of PI in n 2.584 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.584 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.584 * [taylor]: Taking taylor expansion of k in n 2.584 * [taylor]: Taking taylor expansion of 1.0 in n 2.584 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 2.584 * [taylor]: Taking taylor expansion of NAN in n 2.584 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 2.584 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 2.584 * [taylor]: Taking taylor expansion of 0.5 in n 2.584 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 2.584 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.584 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.584 * [taylor]: Taking taylor expansion of k in n 2.584 * [taylor]: Taking taylor expansion of 1.0 in n 2.584 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.584 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.584 * [taylor]: Taking taylor expansion of -1 in n 2.584 * [taylor]: Taking taylor expansion of n in n 2.588 * [taylor]: Taking taylor expansion of 0 in n 2.593 * [taylor]: Taking taylor expansion of 0 in n 2.594 * * * [progress]: simplifying candidates 2.597 * [simplify]: Simplifying using # : (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 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k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (- (log 1) (log (/ 1 n)))))))) k)) (* 1.0 (/ (* (pow NAN 5) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (- (log 1) (log (/ 1 n)))))))) (pow k 3))))) (+ (* 1.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* NAN (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))) k)) (* 1.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) NAN))) 2.637 * * [simplify]: iteration 0 : 5153 enodes (cost 3393 ) 2.648 * [simplify]: Simplified to: (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 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(pow (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (pow n (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (pow n (/ (- 1.0 k) 2.0))) 3) (sqrt (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (* (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (* (pow (* 2.0 PI) (/ k 2.0)) (sqrt k)) (pow n (/ k 2.0))) (* (* (pow (* 2.0 PI) (/ 1.0 2.0)) (/ 1.0 (sqrt k))) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (sqrt k) (pow n (/ k 2.0))) 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0.125 (* (pow (log (* 2.0 PI)) 2) (* (* k k) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (log (* 2.0 PI)) (* k (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) (- (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (+ NAN (* (* k k) (pow NAN 5))))) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (* k k) NAN))) (* 1.0 (* k (pow NAN 3)))))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (+ (* (log (* 2.0 PI)) (* k (* k (pow NAN 3)))) (* (log (* 2.0 PI)) (* k NAN)))))) (* 1.0 (+ (/ (* (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) (pow NAN 3)) (* k k)) (+ (/ (* (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) (pow NAN 5)) (pow k 3)) (/ (* (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) NAN) k)))) (* 1.0 (+ (/ (* (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) NAN) k) (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) NAN))) (* 1.0 (+ (* (* k k) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (* k k)) (/ NAN k)))) (+ (* 1.0 (/ NAN k)) (/ 1.0 NAN)) (- (+ (* 1.0 (* NAN (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow (pow n 1.0) 1.0))) 0.5))) (+ (+ (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow (pow n 1.0) 1.0))) 0.5) (+ (* (log 1) (* (log n) (* (* k k) NAN))) (* NAN (* (log (* 2.0 PI)) (* (log n) (* k k))))))) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow (pow n 1.0) 1.0))) 0.5) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (* k k) NAN))) (* 0.125 (* (* k k) (* NAN (pow (log n) 2))))))) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow (pow n 1.0) 1.0))) 0.5) (+ (* 1.0 (* (* k k) (pow NAN 5))) (* 0.25 (* (log 1) (* (log (* 2.0 PI)) (* (* k k) NAN))))))) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow (pow n 1.0) 1.0))) 0.5) (+ (* 1.0 (* k (pow NAN 3))) (* 0.125 (* (* k k) (* NAN (pow (log 1) 2)))))))) (+ (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow (pow n 1.0) 1.0))) 0.5) (+ (* k (* NAN (log 1))) (* (* k k) (* (pow NAN 3) (log 1)))))) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow (pow n 1.0) 1.0))) 0.5) (+ (* 0.5 (* (log n) (* k (* k (pow NAN 3))))) (* 0.5 (* k (* (log n) NAN)))))) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow (pow n 1.0) 1.0))) 0.5) (+ (* 0.5 (* (log (* 2.0 PI)) (* k NAN))) (* 0.5 (* (log (* 2.0 PI)) (* k (* k (pow NAN 3))))))))) (* 1.0 (+ (* (/ (pow NAN 3) (* k k)) (pow (pow (exp 0.5) (- 1.0 k)) (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ NAN k) (pow (pow (exp 0.5) (- 1.0 k)) (+ (log (* 2.0 PI)) (log n)))) (* (/ (pow NAN 5) (pow k 3)) (pow (pow (exp 0.5) (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))))))) (* 1.0 (+ (* (/ NAN k) (pow (pow (exp 0.5) (- 1.0 k)) (+ (log (* 2.0 PI)) (log n)))) (/ (pow (pow (exp 0.5) (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) NAN))) 2.649 * * * [progress]: adding candidates to table 3.354 * [progress]: [Phase 3 of 3] Extracting. 3.354 * * [regime]: Finding splitpoints for: (# # # # # # # #) 3.356 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 3.357 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 3.418 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 3.476 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 3.535 * * * [regime]: Found split indices: #