44.323 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.175 * * * [progress]: [2/2] Setting up program. 0.180 * [progress]: [Phase 2 of 3] Improving. 0.181 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.181 * * [simplify]: Extracting # 0 : cost 0 0.181 * * [simplify]: Extracting # 1 : cost 0 0.181 * * [simplify]: Extracting # 2 : cost 0 0.181 * * [simplify]: Extracting # 3 : cost 0 0.181 * * [simplify]: Extracting # 4 : cost 0 0.181 * * [simplify]: Extracting # 5 : cost 0 0.181 * * [simplify]: Extracting # 6 : cost 0 0.181 * * [simplify]: Extracting # 7 : cost 0 0.181 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.188 * * [simplify]: Extracting # 0 : cost 0 0.188 * * [simplify]: Extracting # 1 : cost 0 0.188 * * [simplify]: Extracting # 2 : cost 0 0.188 * * [simplify]: Extracting # 3 : cost 0 0.188 * * [simplify]: Extracting # 4 : cost 0 0.188 * * [simplify]: Extracting # 5 : cost 0 0.188 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.200 * * [simplify]: Extracting # 0 : cost 0 0.200 * * [simplify]: Extracting # 1 : cost 0 0.200 * * [simplify]: Extracting # 2 : cost 0 0.200 * * [simplify]: Extracting # 3 : cost 0 0.200 * * [simplify]: Extracting # 4 : cost 0 0.200 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.252 * * [simplify]: Extracting # 0 : cost 0 0.252 * * [simplify]: Extracting # 1 : cost 0 0.253 * * [simplify]: Extracting # 2 : cost 0 0.253 * * [simplify]: Extracting # 3 : cost 0 0.253 * * [simplify]: Extracting # 4 : cost 0 0.253 * * [simplify]: iteration 3 : 120 enodes (cost 16 ) 0.312 * * [simplify]: Extracting # 0 : cost 0 0.313 * * [simplify]: Extracting # 1 : cost 0 0.314 * * [simplify]: Extracting # 2 : cost 0 0.314 * * [simplify]: Extracting # 3 : cost 0 0.315 * * [simplify]: Extracting # 4 : cost 0 0.315 * * [simplify]: iteration 4 : 330 enodes (cost 16 ) 0.620 * * [simplify]: Extracting # 0 : cost 0 0.622 * * [simplify]: Extracting # 1 : cost 0 0.625 * * [simplify]: Extracting # 2 : cost 0 0.628 * * [simplify]: Extracting # 3 : cost 0 0.631 * * [simplify]: Extracting # 4 : cost 0 0.634 * * [simplify]: Extracting # 5 : cost 0 0.637 * * [simplify]: iteration 5 : 1555 enodes (cost 16 ) 1.449 * * [simplify]: Extracting # 0 : cost 0 1.490 * * [simplify]: Extracting # 1 : cost 0 1.501 * * [simplify]: Extracting # 2 : cost 0 1.513 * * [simplify]: Extracting # 3 : cost 0 1.526 * * [simplify]: Extracting # 4 : cost 0 1.533 * * [simplify]: iteration done: 5001 enodes (cost 16 ) 1.533 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1.534 * * [progress]: iteration 1 / 4 1.534 * * * [progress]: picking best candidate 1.537 * * * * [pick]: Picked # 1.537 * * * [progress]: localizing error 1.553 * * * [progress]: generating rewritten candidates 1.554 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.600 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.636 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.642 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.714 * * * [progress]: generating series expansions 1.714 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.715 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 1.715 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.715 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.715 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.715 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.715 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.715 * [taylor]: Taking taylor expansion of 0.5 in k 1.715 * [backup-simplify]: Simplify 0.5 into 0.5 1.715 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.715 * [taylor]: Taking taylor expansion of 1.0 in k 1.715 * [backup-simplify]: Simplify 1.0 into 1.0 1.715 * [taylor]: Taking taylor expansion of k in k 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 1 into 1 1.715 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.715 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.715 * [taylor]: Taking taylor expansion of 2.0 in k 1.715 * [backup-simplify]: Simplify 2.0 into 2.0 1.715 * [taylor]: Taking taylor expansion of (* n PI) in k 1.716 * [taylor]: Taking taylor expansion of n in k 1.716 * [backup-simplify]: Simplify n into n 1.716 * [taylor]: Taking taylor expansion of PI in k 1.716 * [backup-simplify]: Simplify PI into PI 1.716 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.716 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 1.716 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 1.716 * [backup-simplify]: Simplify (- 0) into 0 1.717 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.717 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 1.718 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 1.718 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 1.718 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.718 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.718 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.718 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.718 * [taylor]: Taking taylor expansion of 0.5 in n 1.718 * [backup-simplify]: Simplify 0.5 into 0.5 1.718 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.718 * [taylor]: Taking taylor expansion of 1.0 in n 1.718 * [backup-simplify]: Simplify 1.0 into 1.0 1.718 * [taylor]: Taking taylor expansion of k in n 1.718 * [backup-simplify]: Simplify k into k 1.718 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.718 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.718 * [taylor]: Taking taylor expansion of 2.0 in n 1.718 * [backup-simplify]: Simplify 2.0 into 2.0 1.718 * [taylor]: Taking taylor expansion of (* n PI) in n 1.718 * [taylor]: Taking taylor expansion of n in n 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 1 into 1 1.718 * [taylor]: Taking taylor expansion of PI in n 1.718 * [backup-simplify]: Simplify PI into PI 1.719 * [backup-simplify]: Simplify (* 0 PI) into 0 1.719 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.721 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.723 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.724 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.724 * [backup-simplify]: Simplify (- k) into (- k) 1.724 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.724 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 1.726 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.727 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.728 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.728 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.728 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.728 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.728 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.728 * [taylor]: Taking taylor expansion of 0.5 in n 1.729 * [backup-simplify]: Simplify 0.5 into 0.5 1.729 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.729 * [taylor]: Taking taylor expansion of 1.0 in n 1.729 * [backup-simplify]: Simplify 1.0 into 1.0 1.729 * [taylor]: Taking taylor expansion of k in n 1.729 * [backup-simplify]: Simplify k into k 1.729 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.729 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.729 * [taylor]: Taking taylor expansion of 2.0 in n 1.729 * [backup-simplify]: Simplify 2.0 into 2.0 1.729 * [taylor]: Taking taylor expansion of (* n PI) in n 1.729 * [taylor]: Taking taylor expansion of n in n 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify 1 into 1 1.729 * [taylor]: Taking taylor expansion of PI in n 1.729 * [backup-simplify]: Simplify PI into PI 1.729 * [backup-simplify]: Simplify (* 0 PI) into 0 1.730 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.731 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.733 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.734 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.734 * [backup-simplify]: Simplify (- k) into (- k) 1.734 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.734 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 1.735 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.737 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.738 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.738 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.738 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.738 * [taylor]: Taking taylor expansion of 0.5 in k 1.738 * [backup-simplify]: Simplify 0.5 into 0.5 1.738 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.738 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.738 * [taylor]: Taking taylor expansion of 1.0 in k 1.738 * [backup-simplify]: Simplify 1.0 into 1.0 1.738 * [taylor]: Taking taylor expansion of k in k 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify 1 into 1 1.738 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.738 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.738 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.738 * [taylor]: Taking taylor expansion of 2.0 in k 1.738 * [backup-simplify]: Simplify 2.0 into 2.0 1.738 * [taylor]: Taking taylor expansion of PI in k 1.738 * [backup-simplify]: Simplify PI into PI 1.739 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.740 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.740 * [taylor]: Taking taylor expansion of (log n) in k 1.740 * [taylor]: Taking taylor expansion of n in k 1.740 * [backup-simplify]: Simplify n into n 1.740 * [backup-simplify]: Simplify (log n) into (log n) 1.740 * [backup-simplify]: Simplify (- 0) into 0 1.741 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.742 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 1.743 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 1.744 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 1.745 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 1.746 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 1.746 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.747 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 1.748 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.748 * [backup-simplify]: Simplify (- 0) into 0 1.748 * [backup-simplify]: Simplify (+ 0 0) into 0 1.749 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 1.750 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.750 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 1.752 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.752 * [taylor]: Taking taylor expansion of 0 in k 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.754 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.754 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1.755 * [backup-simplify]: Simplify (+ 0 0) into 0 1.755 * [backup-simplify]: Simplify (- 1) into -1 1.755 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.756 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 1.757 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1.759 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 1.761 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 1.762 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.763 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.765 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 1.765 * [backup-simplify]: Simplify (- 0) into 0 1.765 * [backup-simplify]: Simplify (+ 0 0) into 0 1.766 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 1.767 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.768 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.769 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.769 * [taylor]: Taking taylor expansion of 0 in k 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.772 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 1.773 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.773 * [backup-simplify]: Simplify (+ 0 0) into 0 1.773 * [backup-simplify]: Simplify (- 0) into 0 1.774 * [backup-simplify]: Simplify (+ 0 0) into 0 1.775 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.777 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 1.781 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 1.786 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 1.793 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 1.794 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 1.794 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.794 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.794 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.794 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.794 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.794 * [taylor]: Taking taylor expansion of 0.5 in k 1.794 * [backup-simplify]: Simplify 0.5 into 0.5 1.794 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.794 * [taylor]: Taking taylor expansion of 1.0 in k 1.794 * [backup-simplify]: Simplify 1.0 into 1.0 1.794 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.794 * [taylor]: Taking taylor expansion of k in k 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify 1 into 1 1.794 * [backup-simplify]: Simplify (/ 1 1) into 1 1.794 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.794 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.794 * [taylor]: Taking taylor expansion of 2.0 in k 1.794 * [backup-simplify]: Simplify 2.0 into 2.0 1.794 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.794 * [taylor]: Taking taylor expansion of PI in k 1.795 * [backup-simplify]: Simplify PI into PI 1.795 * [taylor]: Taking taylor expansion of n in k 1.795 * [backup-simplify]: Simplify n into n 1.795 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.795 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 1.795 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 1.795 * [backup-simplify]: Simplify (- 1) into -1 1.795 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.796 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 1.796 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 1.796 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 1.796 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.796 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.796 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.796 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.796 * [taylor]: Taking taylor expansion of 0.5 in n 1.796 * [backup-simplify]: Simplify 0.5 into 0.5 1.796 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.796 * [taylor]: Taking taylor expansion of 1.0 in n 1.796 * [backup-simplify]: Simplify 1.0 into 1.0 1.796 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.796 * [taylor]: Taking taylor expansion of k in n 1.796 * [backup-simplify]: Simplify k into k 1.796 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.796 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.796 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.796 * [taylor]: Taking taylor expansion of 2.0 in n 1.796 * [backup-simplify]: Simplify 2.0 into 2.0 1.796 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.796 * [taylor]: Taking taylor expansion of PI in n 1.796 * [backup-simplify]: Simplify PI into PI 1.796 * [taylor]: Taking taylor expansion of n in n 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 1 into 1 1.797 * [backup-simplify]: Simplify (/ PI 1) into PI 1.797 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.798 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.798 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.798 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.798 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 1.799 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.799 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 1.800 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.800 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.800 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.800 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.800 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.800 * [taylor]: Taking taylor expansion of 0.5 in n 1.800 * [backup-simplify]: Simplify 0.5 into 0.5 1.800 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.800 * [taylor]: Taking taylor expansion of 1.0 in n 1.800 * [backup-simplify]: Simplify 1.0 into 1.0 1.800 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.800 * [taylor]: Taking taylor expansion of k in n 1.800 * [backup-simplify]: Simplify k into k 1.801 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.801 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.801 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.801 * [taylor]: Taking taylor expansion of 2.0 in n 1.801 * [backup-simplify]: Simplify 2.0 into 2.0 1.801 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.801 * [taylor]: Taking taylor expansion of PI in n 1.801 * [backup-simplify]: Simplify PI into PI 1.801 * [taylor]: Taking taylor expansion of n in n 1.801 * [backup-simplify]: Simplify 0 into 0 1.801 * [backup-simplify]: Simplify 1 into 1 1.801 * [backup-simplify]: Simplify (/ PI 1) into PI 1.801 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.806 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.806 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.806 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.806 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 1.807 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.808 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 1.809 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.809 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.809 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.809 * [taylor]: Taking taylor expansion of 0.5 in k 1.809 * [backup-simplify]: Simplify 0.5 into 0.5 1.809 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.809 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.809 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.809 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.809 * [taylor]: Taking taylor expansion of 2.0 in k 1.809 * [backup-simplify]: Simplify 2.0 into 2.0 1.809 * [taylor]: Taking taylor expansion of PI in k 1.809 * [backup-simplify]: Simplify PI into PI 1.810 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.810 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.810 * [taylor]: Taking taylor expansion of (log n) in k 1.810 * [taylor]: Taking taylor expansion of n in k 1.810 * [backup-simplify]: Simplify n into n 1.810 * [backup-simplify]: Simplify (log n) into (log n) 1.810 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.810 * [taylor]: Taking taylor expansion of 1.0 in k 1.810 * [backup-simplify]: Simplify 1.0 into 1.0 1.811 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.811 * [taylor]: Taking taylor expansion of k in k 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify 1 into 1 1.811 * [backup-simplify]: Simplify (/ 1 1) into 1 1.811 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.812 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 1.812 * [backup-simplify]: Simplify (- 1) into -1 1.812 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.813 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 1.813 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 1.814 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.815 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.817 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.818 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.819 * [backup-simplify]: Simplify (- 0) into 0 1.819 * [backup-simplify]: Simplify (+ 0 0) into 0 1.820 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 1.821 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.822 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 1.824 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.824 * [taylor]: Taking taylor expansion of 0 in k 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.825 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.827 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 1.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.828 * [backup-simplify]: Simplify (- 0) into 0 1.828 * [backup-simplify]: Simplify (+ 0 0) into 0 1.829 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 1.830 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.831 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 1.832 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.832 * [taylor]: Taking taylor expansion of 0 in k 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.834 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.837 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 1.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.837 * [backup-simplify]: Simplify (- 0) into 0 1.838 * [backup-simplify]: Simplify (+ 0 0) into 0 1.839 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 1.840 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.841 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 1.842 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.842 * [taylor]: Taking taylor expansion of 0 in k 1.842 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 1.844 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 1.844 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.844 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.844 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.844 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.844 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.844 * [taylor]: Taking taylor expansion of 0.5 in k 1.844 * [backup-simplify]: Simplify 0.5 into 0.5 1.844 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) 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 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify 1 into 1 1.844 * [backup-simplify]: Simplify (/ 1 1) into 1 1.844 * [taylor]: Taking taylor expansion of 1.0 in k 1.844 * [backup-simplify]: Simplify 1.0 into 1.0 1.844 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.845 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.845 * [taylor]: Taking taylor expansion of -2.0 in k 1.845 * [backup-simplify]: Simplify -2.0 into -2.0 1.845 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.845 * [taylor]: Taking taylor expansion of PI in k 1.845 * [backup-simplify]: Simplify PI into PI 1.845 * [taylor]: Taking taylor expansion of n in k 1.845 * [backup-simplify]: Simplify n into n 1.845 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.845 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 1.845 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 1.845 * [backup-simplify]: Simplify (+ 1 0) into 1 1.845 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 1.845 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 1.846 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 1.846 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.846 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.846 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.846 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.846 * [taylor]: Taking taylor expansion of 0.5 in n 1.846 * [backup-simplify]: Simplify 0.5 into 0.5 1.846 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.846 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.846 * [taylor]: Taking taylor expansion of k in n 1.846 * [backup-simplify]: Simplify k into k 1.846 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.846 * [taylor]: Taking taylor expansion of 1.0 in n 1.846 * [backup-simplify]: Simplify 1.0 into 1.0 1.846 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.846 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.846 * [taylor]: Taking taylor expansion of -2.0 in n 1.846 * [backup-simplify]: Simplify -2.0 into -2.0 1.846 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.846 * [taylor]: Taking taylor expansion of PI in n 1.846 * [backup-simplify]: Simplify PI into PI 1.846 * [taylor]: Taking taylor expansion of n in n 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 1 into 1 1.847 * [backup-simplify]: Simplify (/ PI 1) into PI 1.847 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.848 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.848 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.848 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 1.849 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.849 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 1.850 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.850 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.850 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.850 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.850 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.850 * [taylor]: Taking taylor expansion of 0.5 in n 1.850 * [backup-simplify]: Simplify 0.5 into 0.5 1.850 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.850 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.850 * [taylor]: Taking taylor expansion of k in n 1.850 * [backup-simplify]: Simplify k into k 1.850 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.850 * [taylor]: Taking taylor expansion of 1.0 in n 1.850 * [backup-simplify]: Simplify 1.0 into 1.0 1.850 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.850 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.850 * [taylor]: Taking taylor expansion of -2.0 in n 1.850 * [backup-simplify]: Simplify -2.0 into -2.0 1.850 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.850 * [taylor]: Taking taylor expansion of PI in n 1.850 * [backup-simplify]: Simplify PI into PI 1.850 * [taylor]: Taking taylor expansion of n in n 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify 1 into 1 1.851 * [backup-simplify]: Simplify (/ PI 1) into PI 1.851 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.852 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.852 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.852 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 1.854 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.855 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 1.856 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.856 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.857 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.857 * [taylor]: Taking taylor expansion of 0.5 in k 1.857 * [backup-simplify]: Simplify 0.5 into 0.5 1.857 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.857 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.857 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.857 * [taylor]: Taking taylor expansion of k in k 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 1 into 1 1.857 * [backup-simplify]: Simplify (/ 1 1) into 1 1.857 * [taylor]: Taking taylor expansion of 1.0 in k 1.857 * [backup-simplify]: Simplify 1.0 into 1.0 1.857 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.857 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.858 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.858 * [taylor]: Taking taylor expansion of -2.0 in k 1.858 * [backup-simplify]: Simplify -2.0 into -2.0 1.858 * [taylor]: Taking taylor expansion of PI in k 1.858 * [backup-simplify]: Simplify PI into PI 1.858 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.859 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.859 * [taylor]: Taking taylor expansion of (log n) in k 1.859 * [taylor]: Taking taylor expansion of n in k 1.859 * [backup-simplify]: Simplify n into n 1.859 * [backup-simplify]: Simplify (log n) into (log n) 1.860 * [backup-simplify]: Simplify (+ 1 0) into 1 1.860 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.861 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 1.862 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 1.863 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 1.864 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.866 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.868 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 1.870 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 1.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.871 * [backup-simplify]: Simplify (+ 0 0) into 0 1.871 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 1.873 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.874 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 1.876 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.876 * [taylor]: Taking taylor expansion of 0 in k 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.878 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.882 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 1.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.883 * [backup-simplify]: Simplify (+ 0 0) into 0 1.884 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 1.885 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.887 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 1.890 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.890 * [taylor]: Taking taylor expansion of 0 in k 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.892 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.897 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 1.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.898 * [backup-simplify]: Simplify (+ 0 0) into 0 1.899 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 1.899 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.901 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 1.902 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.902 * [taylor]: Taking taylor expansion of 0 in k 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 1.903 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.904 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 1.904 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.904 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.904 * [taylor]: Taking taylor expansion of 2.0 in n 1.904 * [backup-simplify]: Simplify 2.0 into 2.0 1.904 * [taylor]: Taking taylor expansion of (* n PI) in n 1.904 * [taylor]: Taking taylor expansion of n in n 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.904 * [taylor]: Taking taylor expansion of PI in n 1.904 * [backup-simplify]: Simplify PI into PI 1.904 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.904 * [taylor]: Taking taylor expansion of 2.0 in n 1.904 * [backup-simplify]: Simplify 2.0 into 2.0 1.904 * [taylor]: Taking taylor expansion of (* n PI) in n 1.904 * [taylor]: Taking taylor expansion of n in n 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.904 * [taylor]: Taking taylor expansion of PI in n 1.904 * [backup-simplify]: Simplify PI into PI 1.904 * [backup-simplify]: Simplify (* 0 PI) into 0 1.904 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.904 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.906 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.907 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.907 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.908 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.909 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.909 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.911 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.911 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.912 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.914 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1.914 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1.917 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 1.920 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI 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 1.921 * [taylor]: Taking taylor expansion of 2.0 in n 1.921 * [backup-simplify]: Simplify 2.0 into 2.0 1.921 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.921 * [taylor]: Taking taylor expansion of PI in n 1.921 * [backup-simplify]: Simplify PI into PI 1.921 * [taylor]: Taking taylor expansion of n in n 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [backup-simplify]: Simplify (/ PI 1) into PI 1.921 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.921 * [taylor]: Taking taylor expansion of 2.0 in n 1.921 * [backup-simplify]: Simplify 2.0 into 2.0 1.921 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.921 * [taylor]: Taking taylor expansion of PI in n 1.921 * [backup-simplify]: Simplify PI into PI 1.921 * [taylor]: Taking taylor expansion of n in n 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.922 * [backup-simplify]: Simplify (/ PI 1) into PI 1.922 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.922 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.923 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.923 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.925 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.926 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.926 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.927 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.928 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.930 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.933 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.933 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 1.934 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 1.934 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.934 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.935 * [taylor]: Taking taylor expansion of -2.0 in n 1.935 * [backup-simplify]: Simplify -2.0 into -2.0 1.935 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.935 * [taylor]: Taking taylor expansion of PI in n 1.935 * [backup-simplify]: Simplify PI into PI 1.935 * [taylor]: Taking taylor expansion of n in n 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 1 into 1 1.935 * [backup-simplify]: Simplify (/ PI 1) into PI 1.935 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.935 * [taylor]: Taking taylor expansion of -2.0 in n 1.935 * [backup-simplify]: Simplify -2.0 into -2.0 1.935 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.935 * [taylor]: Taking taylor expansion of PI in n 1.935 * [backup-simplify]: Simplify PI into PI 1.935 * [taylor]: Taking taylor expansion of n in n 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 1 into 1 1.936 * [backup-simplify]: Simplify (/ PI 1) into PI 1.937 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.937 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.939 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 1.939 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.941 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.941 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.944 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.944 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.947 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.947 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.949 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.949 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.952 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 1.953 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.953 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 1.953 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.953 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.953 * [taylor]: Taking taylor expansion of 1.0 in k 1.953 * [backup-simplify]: Simplify 1.0 into 1.0 1.953 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.953 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.953 * [taylor]: Taking taylor expansion of k in k 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.954 * [backup-simplify]: Simplify (/ 1 1) into 1 1.954 * [backup-simplify]: Simplify (sqrt 0) into 0 1.956 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.956 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.956 * [taylor]: Taking taylor expansion of 1.0 in k 1.956 * [backup-simplify]: Simplify 1.0 into 1.0 1.956 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.956 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.956 * [taylor]: Taking taylor expansion of k in k 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 1 into 1 1.956 * [backup-simplify]: Simplify (/ 1 1) into 1 1.957 * [backup-simplify]: Simplify (sqrt 0) into 0 1.958 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.959 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.959 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.960 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.963 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.964 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.964 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.967 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.968 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.968 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.969 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 1.969 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 1.969 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.969 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.969 * [taylor]: Taking taylor expansion of 1.0 in k 1.969 * [backup-simplify]: Simplify 1.0 into 1.0 1.969 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.969 * [taylor]: Taking taylor expansion of k in k 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (sqrt 0) into 0 1.970 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.970 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.970 * [taylor]: Taking taylor expansion of 1.0 in k 1.970 * [backup-simplify]: Simplify 1.0 into 1.0 1.970 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.970 * [taylor]: Taking taylor expansion of k in k 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.971 * [backup-simplify]: Simplify (sqrt 0) into 0 1.971 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.972 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.973 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.975 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.976 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.976 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.979 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.980 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.981 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 1.981 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 1.981 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.981 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.981 * [taylor]: Taking taylor expansion of 1.0 in k 1.981 * [backup-simplify]: Simplify 1.0 into 1.0 1.981 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.981 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.981 * [taylor]: Taking taylor expansion of -1 in k 1.981 * [backup-simplify]: Simplify -1 into -1 1.981 * [taylor]: Taking taylor expansion of k in k 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (/ -1 1) into -1 1.982 * [backup-simplify]: Simplify (sqrt 0) into 0 1.982 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.983 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 1.983 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.983 * [taylor]: Taking taylor expansion of 1.0 in k 1.983 * [backup-simplify]: Simplify 1.0 into 1.0 1.983 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.983 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.983 * [taylor]: Taking taylor expansion of -1 in k 1.983 * [backup-simplify]: Simplify -1 into -1 1.983 * [taylor]: Taking taylor expansion of k in k 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 1 into 1 1.983 * [backup-simplify]: Simplify (/ -1 1) into -1 1.983 * [backup-simplify]: Simplify (sqrt 0) into 0 1.984 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.984 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 1.984 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.987 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.989 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.989 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.994 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.998 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.999 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.000 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 2.000 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.001 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) 2.001 * [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 2.001 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 2.001 * [taylor]: Taking taylor expansion of 1.0 in n 2.001 * [backup-simplify]: Simplify 1.0 into 1.0 2.001 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.001 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.001 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.001 * [taylor]: Taking taylor expansion of k in n 2.001 * [backup-simplify]: Simplify k into k 2.001 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.001 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 2.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 2.002 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.002 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.002 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.002 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.002 * [taylor]: Taking taylor expansion of 0.5 in n 2.002 * [backup-simplify]: Simplify 0.5 into 0.5 2.002 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.002 * [taylor]: Taking taylor expansion of 1.0 in n 2.002 * [backup-simplify]: Simplify 1.0 into 1.0 2.002 * [taylor]: Taking taylor expansion of k in n 2.002 * [backup-simplify]: Simplify k into k 2.002 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.002 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.002 * [taylor]: Taking taylor expansion of 2.0 in n 2.002 * [backup-simplify]: Simplify 2.0 into 2.0 2.002 * [taylor]: Taking taylor expansion of (* n PI) in n 2.002 * [taylor]: Taking taylor expansion of n in n 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 1 into 1 2.002 * [taylor]: Taking taylor expansion of PI in n 2.002 * [backup-simplify]: Simplify PI into PI 2.003 * [backup-simplify]: Simplify (* 0 PI) into 0 2.003 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.005 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.006 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.008 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.008 * [backup-simplify]: Simplify (- k) into (- k) 2.008 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.008 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.010 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.011 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 2.012 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2.012 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.012 * [taylor]: Taking taylor expansion of 1.0 in k 2.012 * [backup-simplify]: Simplify 1.0 into 1.0 2.012 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.012 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.012 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.012 * [taylor]: Taking taylor expansion of k in k 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.013 * [backup-simplify]: Simplify (/ 1 1) into 1 2.013 * [backup-simplify]: Simplify (sqrt 0) into 0 2.015 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.015 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.015 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.015 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.015 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.015 * [taylor]: Taking taylor expansion of 0.5 in k 2.015 * [backup-simplify]: Simplify 0.5 into 0.5 2.015 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.015 * [taylor]: Taking taylor expansion of 1.0 in k 2.015 * [backup-simplify]: Simplify 1.0 into 1.0 2.015 * [taylor]: Taking taylor expansion of k in k 2.015 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify 1 into 1 2.016 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.016 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.016 * [taylor]: Taking taylor expansion of 2.0 in k 2.016 * [backup-simplify]: Simplify 2.0 into 2.0 2.016 * [taylor]: Taking taylor expansion of (* n PI) in k 2.016 * [taylor]: Taking taylor expansion of n in k 2.016 * [backup-simplify]: Simplify n into n 2.016 * [taylor]: Taking taylor expansion of PI in k 2.016 * [backup-simplify]: Simplify PI into PI 2.016 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.016 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.016 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.016 * [backup-simplify]: Simplify (- 0) into 0 2.017 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.017 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.017 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.018 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.018 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.018 * [taylor]: Taking taylor expansion of 1.0 in k 2.018 * [backup-simplify]: Simplify 1.0 into 1.0 2.018 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.018 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.018 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.018 * [taylor]: Taking taylor expansion of k in k 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify 1 into 1 2.018 * [backup-simplify]: Simplify (/ 1 1) into 1 2.019 * [backup-simplify]: Simplify (sqrt 0) into 0 2.020 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.020 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.020 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.020 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.020 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.020 * [taylor]: Taking taylor expansion of 0.5 in k 2.020 * [backup-simplify]: Simplify 0.5 into 0.5 2.020 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.020 * [taylor]: Taking taylor expansion of 1.0 in k 2.020 * [backup-simplify]: Simplify 1.0 into 1.0 2.020 * [taylor]: Taking taylor expansion of k in k 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 1 into 1 2.020 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.020 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.021 * [taylor]: Taking taylor expansion of 2.0 in k 2.021 * [backup-simplify]: Simplify 2.0 into 2.0 2.021 * [taylor]: Taking taylor expansion of (* n PI) in k 2.021 * [taylor]: Taking taylor expansion of n in k 2.021 * [backup-simplify]: Simplify n into n 2.021 * [taylor]: Taking taylor expansion of PI in k 2.021 * [backup-simplify]: Simplify PI into PI 2.021 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.021 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.021 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.021 * [backup-simplify]: Simplify (- 0) into 0 2.022 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.022 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.022 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.023 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.023 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 2.023 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.023 * [taylor]: Taking taylor expansion of 0 in n 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 2.025 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 2.026 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 2.026 * [backup-simplify]: Simplify (- 1) into -1 2.026 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.028 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 2.029 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 2.029 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.031 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 2.033 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.033 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.033 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.033 * [taylor]: Taking taylor expansion of +nan.0 in n 2.033 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.033 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.033 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.033 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.034 * [taylor]: Taking taylor expansion of 0.5 in n 2.034 * [backup-simplify]: Simplify 0.5 into 0.5 2.034 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.034 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.034 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.034 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.034 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.034 * [taylor]: Taking taylor expansion of 1.0 in n 2.034 * [backup-simplify]: Simplify 1.0 into 1.0 2.034 * [taylor]: Taking taylor expansion of (log PI) in n 2.034 * [taylor]: Taking taylor expansion of PI in n 2.034 * [backup-simplify]: Simplify PI into PI 2.034 * [backup-simplify]: Simplify (log PI) into (log PI) 2.035 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.037 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.037 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.037 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.037 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.037 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.037 * [taylor]: Taking taylor expansion of 1.0 in n 2.037 * [backup-simplify]: Simplify 1.0 into 1.0 2.037 * [taylor]: Taking taylor expansion of (log n) in n 2.037 * [taylor]: Taking taylor expansion of n in n 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 1 into 1 2.038 * [backup-simplify]: Simplify (log 1) into 0 2.038 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.038 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.038 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.038 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.038 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.038 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.038 * [taylor]: Taking taylor expansion of 1.0 in n 2.038 * [backup-simplify]: Simplify 1.0 into 1.0 2.039 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.039 * [taylor]: Taking taylor expansion of 2.0 in n 2.039 * [backup-simplify]: Simplify 2.0 into 2.0 2.039 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.040 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.041 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.041 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 2.042 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 2.044 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 2.045 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 2.046 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.054 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 2.056 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 2.057 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 2.059 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 2.061 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0 2.062 * [backup-simplify]: Simplify (- 0) into 0 2.062 * [backup-simplify]: Simplify (+ 0 0) into 0 2.063 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 2.064 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 2.066 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.069 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.071 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5)))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 2.074 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 2.074 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 2.074 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 2.074 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.074 * [taylor]: Taking taylor expansion of +nan.0 in n 2.074 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.074 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.074 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.074 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.074 * [taylor]: Taking taylor expansion of 0.5 in n 2.074 * [backup-simplify]: Simplify 0.5 into 0.5 2.074 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.074 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.074 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.074 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.074 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.074 * [taylor]: Taking taylor expansion of 1.0 in n 2.074 * [backup-simplify]: Simplify 1.0 into 1.0 2.074 * [taylor]: Taking taylor expansion of (log PI) in n 2.074 * [taylor]: Taking taylor expansion of PI in n 2.074 * [backup-simplify]: Simplify PI into PI 2.075 * [backup-simplify]: Simplify (log PI) into (log PI) 2.075 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.076 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.076 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.076 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.076 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.076 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.076 * [taylor]: Taking taylor expansion of 1.0 in n 2.076 * [backup-simplify]: Simplify 1.0 into 1.0 2.076 * [taylor]: Taking taylor expansion of (log n) in n 2.076 * [taylor]: Taking taylor expansion of n in n 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.077 * [backup-simplify]: Simplify (log 1) into 0 2.077 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.077 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.077 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.077 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.077 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.077 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.077 * [taylor]: Taking taylor expansion of 1.0 in n 2.077 * [backup-simplify]: Simplify 1.0 into 1.0 2.077 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.077 * [taylor]: Taking taylor expansion of 2.0 in n 2.077 * [backup-simplify]: Simplify 2.0 into 2.0 2.077 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.078 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.079 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.079 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 2.080 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 2.081 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 2.082 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 2.083 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.083 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 2.083 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.083 * [taylor]: Taking taylor expansion of +nan.0 in n 2.083 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.083 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.083 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.083 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.083 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.083 * [taylor]: Taking taylor expansion of 0.5 in n 2.083 * [backup-simplify]: Simplify 0.5 into 0.5 2.083 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.083 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.083 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.083 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.083 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.083 * [taylor]: Taking taylor expansion of 1.0 in n 2.083 * [backup-simplify]: Simplify 1.0 into 1.0 2.083 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.083 * [taylor]: Taking taylor expansion of 2.0 in n 2.083 * [backup-simplify]: Simplify 2.0 into 2.0 2.083 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.084 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.085 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.085 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.085 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.085 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.085 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.085 * [taylor]: Taking taylor expansion of 1.0 in n 2.085 * [backup-simplify]: Simplify 1.0 into 1.0 2.085 * [taylor]: Taking taylor expansion of (log PI) in n 2.085 * [taylor]: Taking taylor expansion of PI in n 2.085 * [backup-simplify]: Simplify PI into PI 2.085 * [backup-simplify]: Simplify (log PI) into (log PI) 2.086 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.087 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.087 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.087 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.087 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.087 * [taylor]: Taking taylor expansion of 1.0 in n 2.087 * [backup-simplify]: Simplify 1.0 into 1.0 2.087 * [taylor]: Taking taylor expansion of (log n) in n 2.087 * [taylor]: Taking taylor expansion of n in n 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 1 into 1 2.087 * [backup-simplify]: Simplify (log 1) into 0 2.087 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.087 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.087 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.088 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.089 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.089 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.090 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.091 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.091 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.091 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.091 * [taylor]: Taking taylor expansion of 2.0 in n 2.091 * [backup-simplify]: Simplify 2.0 into 2.0 2.091 * [taylor]: Taking taylor expansion of (* n PI) in n 2.091 * [taylor]: Taking taylor expansion of n in n 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify 1 into 1 2.091 * [taylor]: Taking taylor expansion of PI in n 2.091 * [backup-simplify]: Simplify PI into PI 2.092 * [backup-simplify]: Simplify (* 0 PI) into 0 2.092 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.093 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.094 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.094 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.095 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 2.097 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.099 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 2.102 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.104 * [backup-simplify]: Simplify (- (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 2.110 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 2.116 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 2.123 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 2.125 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 2.125 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 2.127 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 2.129 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.129 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.130 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 2.130 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 2.131 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 2.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 2.134 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 2.136 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 2.137 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 2.140 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0 2.141 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0 2.144 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.145 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 2.146 * [backup-simplify]: Simplify (- 0) into 0 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.148 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 2.151 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0 2.152 * [backup-simplify]: Simplify (- 0) into 0 2.152 * [backup-simplify]: Simplify (+ 0 0) into 0 2.154 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 2.155 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 2.157 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.162 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.168 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 2.174 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 2.175 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 2.175 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 2.175 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.175 * [taylor]: Taking taylor expansion of +nan.0 in n 2.175 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.175 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.175 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.175 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.175 * [taylor]: Taking taylor expansion of 0.5 in n 2.175 * [backup-simplify]: Simplify 0.5 into 0.5 2.175 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.175 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.175 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.175 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.175 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.175 * [taylor]: Taking taylor expansion of 1.0 in n 2.175 * [backup-simplify]: Simplify 1.0 into 1.0 2.175 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.175 * [taylor]: Taking taylor expansion of 2.0 in n 2.175 * [backup-simplify]: Simplify 2.0 into 2.0 2.175 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.176 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.177 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.177 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.177 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.177 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.177 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.177 * [taylor]: Taking taylor expansion of 1.0 in n 2.177 * [backup-simplify]: Simplify 1.0 into 1.0 2.177 * [taylor]: Taking taylor expansion of (log n) in n 2.177 * [taylor]: Taking taylor expansion of n in n 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify 1 into 1 2.177 * [backup-simplify]: Simplify (log 1) into 0 2.178 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.178 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.178 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.178 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.178 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.178 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.178 * [taylor]: Taking taylor expansion of 1.0 in n 2.178 * [backup-simplify]: Simplify 1.0 into 1.0 2.178 * [taylor]: Taking taylor expansion of (log PI) in n 2.178 * [taylor]: Taking taylor expansion of PI in n 2.178 * [backup-simplify]: Simplify PI into PI 2.178 * [backup-simplify]: Simplify (log PI) into (log PI) 2.183 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.184 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.185 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.185 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.187 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.188 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.188 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.189 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 2.189 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 2.189 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.189 * [taylor]: Taking taylor expansion of +nan.0 in n 2.189 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.189 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.189 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.189 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.189 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.189 * [taylor]: Taking taylor expansion of 0.5 in n 2.189 * [backup-simplify]: Simplify 0.5 into 0.5 2.189 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.189 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.189 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.189 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.189 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.189 * [taylor]: Taking taylor expansion of 1.0 in n 2.189 * [backup-simplify]: Simplify 1.0 into 1.0 2.189 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.189 * [taylor]: Taking taylor expansion of 2.0 in n 2.189 * [backup-simplify]: Simplify 2.0 into 2.0 2.189 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.190 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.191 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.191 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.191 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.191 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.191 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.191 * [taylor]: Taking taylor expansion of 1.0 in n 2.191 * [backup-simplify]: Simplify 1.0 into 1.0 2.191 * [taylor]: Taking taylor expansion of (log PI) in n 2.191 * [taylor]: Taking taylor expansion of PI in n 2.191 * [backup-simplify]: Simplify PI into PI 2.191 * [backup-simplify]: Simplify (log PI) into (log PI) 2.192 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.193 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.193 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.193 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.193 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.193 * [taylor]: Taking taylor expansion of 1.0 in n 2.193 * [backup-simplify]: Simplify 1.0 into 1.0 2.193 * [taylor]: Taking taylor expansion of (log n) in n 2.193 * [taylor]: Taking taylor expansion of n in n 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify 1 into 1 2.193 * [backup-simplify]: Simplify (log 1) into 0 2.193 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.193 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.193 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.194 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.195 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.195 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.197 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.198 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.198 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.199 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.199 * [taylor]: Taking taylor expansion of 2.0 in n 2.199 * [backup-simplify]: Simplify 2.0 into 2.0 2.199 * [taylor]: Taking taylor expansion of (* n PI) in n 2.199 * [taylor]: Taking taylor expansion of n in n 2.199 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify 1 into 1 2.199 * [taylor]: Taking taylor expansion of PI in n 2.199 * [backup-simplify]: Simplify PI into PI 2.199 * [backup-simplify]: Simplify (* 0 PI) into 0 2.200 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.201 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.203 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.204 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.204 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 2.204 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 2.204 * [taylor]: Taking taylor expansion of +nan.0 in n 2.204 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.204 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 2.204 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.204 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.204 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.204 * [taylor]: Taking taylor expansion of 0.5 in n 2.204 * [backup-simplify]: Simplify 0.5 into 0.5 2.204 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.204 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.204 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.204 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.205 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.205 * [taylor]: Taking taylor expansion of 1.0 in n 2.205 * [backup-simplify]: Simplify 1.0 into 1.0 2.205 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.205 * [taylor]: Taking taylor expansion of 2.0 in n 2.205 * [backup-simplify]: Simplify 2.0 into 2.0 2.205 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.206 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.208 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.208 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.208 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.208 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.208 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.208 * [taylor]: Taking taylor expansion of 1.0 in n 2.208 * [backup-simplify]: Simplify 1.0 into 1.0 2.208 * [taylor]: Taking taylor expansion of (log PI) in n 2.208 * [taylor]: Taking taylor expansion of PI in n 2.208 * [backup-simplify]: Simplify PI into PI 2.208 * [backup-simplify]: Simplify (log PI) into (log PI) 2.209 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.211 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.211 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.211 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.211 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.211 * [taylor]: Taking taylor expansion of 1.0 in n 2.211 * [backup-simplify]: Simplify 1.0 into 1.0 2.211 * [taylor]: Taking taylor expansion of (log n) in n 2.211 * [taylor]: Taking taylor expansion of n in n 2.211 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify 1 into 1 2.212 * [backup-simplify]: Simplify (log 1) into 0 2.212 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.212 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.212 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.212 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.213 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.214 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.215 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.216 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.216 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.216 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.216 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.216 * [taylor]: Taking taylor expansion of 2.0 in n 2.216 * [backup-simplify]: Simplify 2.0 into 2.0 2.216 * [taylor]: Taking taylor expansion of (* n PI) in n 2.216 * [taylor]: Taking taylor expansion of n in n 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify 1 into 1 2.216 * [taylor]: Taking taylor expansion of PI in n 2.216 * [backup-simplify]: Simplify PI into PI 2.216 * [backup-simplify]: Simplify (* 0 PI) into 0 2.216 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.217 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.218 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.219 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.220 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.221 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 2.222 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.223 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 2.225 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.226 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.227 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.228 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 2.230 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 2.231 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.233 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 2.240 * [backup-simplify]: Simplify (+ (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 2.255 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))) 2.265 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 2.275 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 2.287 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 2.311 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) 2.312 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) 2.312 * [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 2.312 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.312 * [taylor]: Taking taylor expansion of 1.0 in n 2.312 * [backup-simplify]: Simplify 1.0 into 1.0 2.312 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.312 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.312 * [taylor]: Taking taylor expansion of k in n 2.312 * [backup-simplify]: Simplify k into k 2.312 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 2.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 2.312 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.312 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.312 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.312 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.312 * [taylor]: Taking taylor expansion of 0.5 in n 2.312 * [backup-simplify]: Simplify 0.5 into 0.5 2.312 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.312 * [taylor]: Taking taylor expansion of 1.0 in n 2.312 * [backup-simplify]: Simplify 1.0 into 1.0 2.312 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.312 * [taylor]: Taking taylor expansion of k in n 2.312 * [backup-simplify]: Simplify k into k 2.312 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.312 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.312 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.312 * [taylor]: Taking taylor expansion of 2.0 in n 2.312 * [backup-simplify]: Simplify 2.0 into 2.0 2.312 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.313 * [taylor]: Taking taylor expansion of PI in n 2.313 * [backup-simplify]: Simplify PI into PI 2.313 * [taylor]: Taking taylor expansion of n in n 2.313 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify 1 into 1 2.313 * [backup-simplify]: Simplify (/ PI 1) into PI 2.313 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.314 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.314 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.314 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.314 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.315 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.316 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.316 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.316 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.316 * [taylor]: Taking taylor expansion of 1.0 in k 2.316 * [backup-simplify]: Simplify 1.0 into 1.0 2.316 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.316 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.316 * [taylor]: Taking taylor expansion of k in k 2.316 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify 1 into 1 2.317 * [backup-simplify]: Simplify (sqrt 0) into 0 2.318 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.318 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.318 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.318 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.318 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.318 * [taylor]: Taking taylor expansion of 0.5 in k 2.318 * [backup-simplify]: Simplify 0.5 into 0.5 2.318 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.318 * [taylor]: Taking taylor expansion of 1.0 in k 2.318 * [backup-simplify]: Simplify 1.0 into 1.0 2.318 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.318 * [taylor]: Taking taylor expansion of k in k 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 1 into 1 2.318 * [backup-simplify]: Simplify (/ 1 1) into 1 2.318 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.318 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.318 * [taylor]: Taking taylor expansion of 2.0 in k 2.318 * [backup-simplify]: Simplify 2.0 into 2.0 2.318 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.318 * [taylor]: Taking taylor expansion of PI in k 2.318 * [backup-simplify]: Simplify PI into PI 2.318 * [taylor]: Taking taylor expansion of n in k 2.318 * [backup-simplify]: Simplify n into n 2.318 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.318 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.319 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.319 * [backup-simplify]: Simplify (- 1) into -1 2.319 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.319 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.319 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.320 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2.320 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.320 * [taylor]: Taking taylor expansion of 1.0 in k 2.320 * [backup-simplify]: Simplify 1.0 into 1.0 2.320 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.320 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.320 * [taylor]: Taking taylor expansion of k in k 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify 1 into 1 2.320 * [backup-simplify]: Simplify (sqrt 0) into 0 2.321 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.321 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.321 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.321 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.321 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.321 * [taylor]: Taking taylor expansion of 0.5 in k 2.321 * [backup-simplify]: Simplify 0.5 into 0.5 2.321 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.321 * [taylor]: Taking taylor expansion of 1.0 in k 2.321 * [backup-simplify]: Simplify 1.0 into 1.0 2.321 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.321 * [taylor]: Taking taylor expansion of k in k 2.321 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify 1 into 1 2.321 * [backup-simplify]: Simplify (/ 1 1) into 1 2.321 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.321 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.321 * [taylor]: Taking taylor expansion of 2.0 in k 2.321 * [backup-simplify]: Simplify 2.0 into 2.0 2.321 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.321 * [taylor]: Taking taylor expansion of PI in k 2.321 * [backup-simplify]: Simplify PI into PI 2.321 * [taylor]: Taking taylor expansion of n in k 2.321 * [backup-simplify]: Simplify n into n 2.321 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.322 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.322 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.322 * [backup-simplify]: Simplify (- 1) into -1 2.322 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.322 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.322 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.323 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2.323 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 2.323 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.323 * [taylor]: Taking taylor expansion of 0 in n 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.324 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.324 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.324 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.324 * [taylor]: Taking taylor expansion of +nan.0 in n 2.324 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.324 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.324 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.324 * [taylor]: Taking taylor expansion of 0.5 in n 2.324 * [backup-simplify]: Simplify 0.5 into 0.5 2.324 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.324 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.324 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.324 * [taylor]: Taking taylor expansion of 2.0 in n 2.324 * [backup-simplify]: Simplify 2.0 into 2.0 2.324 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.324 * [taylor]: Taking taylor expansion of PI in n 2.324 * [backup-simplify]: Simplify PI into PI 2.324 * [taylor]: Taking taylor expansion of n in n 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify 1 into 1 2.325 * [backup-simplify]: Simplify (/ PI 1) into PI 2.325 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.326 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.326 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.326 * [taylor]: Taking taylor expansion of 1.0 in n 2.326 * [backup-simplify]: Simplify 1.0 into 1.0 2.326 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.326 * [taylor]: Taking taylor expansion of k in n 2.326 * [backup-simplify]: Simplify k into k 2.326 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.327 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.327 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.327 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.327 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 2.329 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.330 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.331 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 2.333 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 2.334 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 2.334 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.338 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.339 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.339 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.339 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.339 * [taylor]: Taking taylor expansion of +nan.0 in n 2.339 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.339 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.339 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.339 * [taylor]: Taking taylor expansion of 0.5 in n 2.339 * [backup-simplify]: Simplify 0.5 into 0.5 2.340 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.340 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.340 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.340 * [taylor]: Taking taylor expansion of 2.0 in n 2.340 * [backup-simplify]: Simplify 2.0 into 2.0 2.340 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.340 * [taylor]: Taking taylor expansion of PI in n 2.340 * [backup-simplify]: Simplify PI into PI 2.340 * [taylor]: Taking taylor expansion of n in n 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify 1 into 1 2.340 * [backup-simplify]: Simplify (/ PI 1) into PI 2.340 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.341 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.341 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.341 * [taylor]: Taking taylor expansion of 1.0 in n 2.341 * [backup-simplify]: Simplify 1.0 into 1.0 2.341 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.341 * [taylor]: Taking taylor expansion of k in n 2.341 * [backup-simplify]: Simplify k into k 2.341 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.342 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.342 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.342 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.343 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 2.344 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.344 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.345 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 2.346 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 2.347 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 2.348 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.348 * [backup-simplify]: Simplify (- 0) into 0 2.348 * [backup-simplify]: Simplify (+ 0 0) into 0 2.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.349 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.350 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.351 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 2.352 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 2.353 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.354 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 2.354 * [backup-simplify]: Simplify (- 0) into 0 2.354 * [backup-simplify]: Simplify 0 into 0 2.354 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.358 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.358 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.358 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.358 * [taylor]: Taking taylor expansion of +nan.0 in n 2.358 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.358 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.358 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.358 * [taylor]: Taking taylor expansion of 0.5 in n 2.358 * [backup-simplify]: Simplify 0.5 into 0.5 2.358 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.358 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.358 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.358 * [taylor]: Taking taylor expansion of 2.0 in n 2.358 * [backup-simplify]: Simplify 2.0 into 2.0 2.358 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.358 * [taylor]: Taking taylor expansion of PI in n 2.358 * [backup-simplify]: Simplify PI into PI 2.359 * [taylor]: Taking taylor expansion of n in n 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify 1 into 1 2.359 * [backup-simplify]: Simplify (/ PI 1) into PI 2.359 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.360 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.360 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.360 * [taylor]: Taking taylor expansion of 1.0 in n 2.360 * [backup-simplify]: Simplify 1.0 into 1.0 2.360 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.360 * [taylor]: Taking taylor expansion of k in n 2.360 * [backup-simplify]: Simplify k into k 2.360 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.361 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.361 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.361 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.362 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 2.362 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.363 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.364 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 2.365 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 2.365 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 2.368 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) 2.369 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 2.369 * [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 2.369 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 2.369 * [taylor]: Taking taylor expansion of 1.0 in n 2.369 * [backup-simplify]: Simplify 1.0 into 1.0 2.369 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.369 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.369 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.369 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.369 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.369 * [taylor]: Taking taylor expansion of 0.5 in n 2.369 * [backup-simplify]: Simplify 0.5 into 0.5 2.369 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.369 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.369 * [taylor]: Taking taylor expansion of k in n 2.369 * [backup-simplify]: Simplify k into k 2.369 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.369 * [taylor]: Taking taylor expansion of 1.0 in n 2.369 * [backup-simplify]: Simplify 1.0 into 1.0 2.369 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.369 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.369 * [taylor]: Taking taylor expansion of -2.0 in n 2.370 * [backup-simplify]: Simplify -2.0 into -2.0 2.370 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.370 * [taylor]: Taking taylor expansion of PI in n 2.370 * [backup-simplify]: Simplify PI into PI 2.370 * [taylor]: Taking taylor expansion of n in n 2.370 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify 1 into 1 2.370 * [backup-simplify]: Simplify (/ PI 1) into PI 2.370 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.371 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.371 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.371 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.372 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.373 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.375 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.375 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.375 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.375 * [taylor]: Taking taylor expansion of -1 in n 2.375 * [backup-simplify]: Simplify -1 into -1 2.375 * [taylor]: Taking taylor expansion of k in n 2.375 * [backup-simplify]: Simplify k into k 2.375 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 2.375 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 2.375 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 2.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 2.377 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) 2.377 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.377 * [taylor]: Taking taylor expansion of 1.0 in k 2.377 * [backup-simplify]: Simplify 1.0 into 1.0 2.377 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.377 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.377 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.377 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.377 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.377 * [taylor]: Taking taylor expansion of 0.5 in k 2.377 * [backup-simplify]: Simplify 0.5 into 0.5 2.377 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.377 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.377 * [taylor]: Taking taylor expansion of k in k 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify 1 into 1 2.378 * [backup-simplify]: Simplify (/ 1 1) into 1 2.378 * [taylor]: Taking taylor expansion of 1.0 in k 2.378 * [backup-simplify]: Simplify 1.0 into 1.0 2.378 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.378 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.378 * [taylor]: Taking taylor expansion of -2.0 in k 2.378 * [backup-simplify]: Simplify -2.0 into -2.0 2.378 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.378 * [taylor]: Taking taylor expansion of PI in k 2.378 * [backup-simplify]: Simplify PI into PI 2.378 * [taylor]: Taking taylor expansion of n in k 2.378 * [backup-simplify]: Simplify n into n 2.378 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.378 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.378 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.379 * [backup-simplify]: Simplify (+ 1 0) into 1 2.379 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.379 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.380 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2.380 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.380 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.380 * [taylor]: Taking taylor expansion of -1 in k 2.380 * [backup-simplify]: Simplify -1 into -1 2.380 * [taylor]: Taking taylor expansion of k in k 2.380 * [backup-simplify]: Simplify 0 into 0 2.380 * [backup-simplify]: Simplify 1 into 1 2.380 * [backup-simplify]: Simplify (/ -1 1) into -1 2.381 * [backup-simplify]: Simplify (sqrt 0) into 0 2.382 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.383 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 2.383 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.383 * [taylor]: Taking taylor expansion of 1.0 in k 2.383 * [backup-simplify]: Simplify 1.0 into 1.0 2.383 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.383 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.383 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.383 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.383 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.383 * [taylor]: Taking taylor expansion of 0.5 in k 2.383 * [backup-simplify]: Simplify 0.5 into 0.5 2.383 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.383 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.383 * [taylor]: Taking taylor expansion of k in k 2.383 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify 1 into 1 2.384 * [backup-simplify]: Simplify (/ 1 1) into 1 2.384 * [taylor]: Taking taylor expansion of 1.0 in k 2.384 * [backup-simplify]: Simplify 1.0 into 1.0 2.384 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.384 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.384 * [taylor]: Taking taylor expansion of -2.0 in k 2.384 * [backup-simplify]: Simplify -2.0 into -2.0 2.384 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.384 * [taylor]: Taking taylor expansion of PI in k 2.384 * [backup-simplify]: Simplify PI into PI 2.384 * [taylor]: Taking taylor expansion of n in k 2.384 * [backup-simplify]: Simplify n into n 2.384 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.384 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.384 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.385 * [backup-simplify]: Simplify (+ 1 0) into 1 2.385 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.385 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.386 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2.386 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.386 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.386 * [taylor]: Taking taylor expansion of -1 in k 2.386 * [backup-simplify]: Simplify -1 into -1 2.386 * [taylor]: Taking taylor expansion of k in k 2.386 * [backup-simplify]: Simplify 0 into 0 2.386 * [backup-simplify]: Simplify 1 into 1 2.387 * [backup-simplify]: Simplify (/ -1 1) into -1 2.387 * [backup-simplify]: Simplify (sqrt 0) into 0 2.388 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.389 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 2.389 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 2.389 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.389 * [taylor]: Taking taylor expansion of +nan.0 in n 2.389 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.389 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.389 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.389 * [taylor]: Taking taylor expansion of 0.5 in n 2.389 * [backup-simplify]: Simplify 0.5 into 0.5 2.389 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.390 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.390 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.390 * [taylor]: Taking taylor expansion of k in n 2.390 * [backup-simplify]: Simplify k into k 2.390 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.390 * [taylor]: Taking taylor expansion of 1.0 in n 2.390 * [backup-simplify]: Simplify 1.0 into 1.0 2.390 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.390 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.390 * [taylor]: Taking taylor expansion of -2.0 in n 2.390 * [backup-simplify]: Simplify -2.0 into -2.0 2.390 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.390 * [taylor]: Taking taylor expansion of PI in n 2.390 * [backup-simplify]: Simplify PI into PI 2.390 * [taylor]: Taking taylor expansion of n in n 2.390 * [backup-simplify]: Simplify 0 into 0 2.390 * [backup-simplify]: Simplify 1 into 1 2.391 * [backup-simplify]: Simplify (/ PI 1) into PI 2.391 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.392 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.392 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.394 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.395 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 2.396 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.397 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.399 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 2.400 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 2.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.404 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.410 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 2.410 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 2.410 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.410 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.410 * [taylor]: Taking taylor expansion of +nan.0 in n 2.410 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.410 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.410 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.410 * [taylor]: Taking taylor expansion of 0.5 in n 2.410 * [backup-simplify]: Simplify 0.5 into 0.5 2.410 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.410 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.410 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.410 * [taylor]: Taking taylor expansion of k in n 2.410 * [backup-simplify]: Simplify k into k 2.410 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.410 * [taylor]: Taking taylor expansion of 1.0 in n 2.410 * [backup-simplify]: Simplify 1.0 into 1.0 2.410 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.410 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.410 * [taylor]: Taking taylor expansion of -2.0 in n 2.410 * [backup-simplify]: Simplify -2.0 into -2.0 2.410 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.410 * [taylor]: Taking taylor expansion of PI in n 2.410 * [backup-simplify]: Simplify PI into PI 2.410 * [taylor]: Taking taylor expansion of n in n 2.410 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify 1 into 1 2.411 * [backup-simplify]: Simplify (/ PI 1) into PI 2.411 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.412 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.412 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.413 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.414 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 2.414 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.415 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.416 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 2.417 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 2.418 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 2.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.419 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.420 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 2.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.420 * [backup-simplify]: Simplify (+ 0 0) into 0 2.421 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.422 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 2.423 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 2.424 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.425 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 2.425 * [backup-simplify]: Simplify 0 into 0 2.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.428 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.429 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 2.430 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 2.430 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.430 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.430 * [taylor]: Taking taylor expansion of +nan.0 in n 2.430 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.430 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.430 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.430 * [taylor]: Taking taylor expansion of 0.5 in n 2.430 * [backup-simplify]: Simplify 0.5 into 0.5 2.430 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.430 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.430 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.430 * [taylor]: Taking taylor expansion of k in n 2.430 * [backup-simplify]: Simplify k into k 2.430 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.430 * [taylor]: Taking taylor expansion of 1.0 in n 2.430 * [backup-simplify]: Simplify 1.0 into 1.0 2.430 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.430 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.430 * [taylor]: Taking taylor expansion of -2.0 in n 2.430 * [backup-simplify]: Simplify -2.0 into -2.0 2.430 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.430 * [taylor]: Taking taylor expansion of PI in n 2.430 * [backup-simplify]: Simplify PI into PI 2.430 * [taylor]: Taking taylor expansion of n in n 2.430 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify 1 into 1 2.430 * [backup-simplify]: Simplify (/ PI 1) into PI 2.431 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.431 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.432 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.433 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.434 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 2.436 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.437 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.439 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 2.440 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 2.441 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 2.447 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 2.447 * * * [progress]: simplifying candidates 2.453 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (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) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 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))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 2.463 * * [simplify]: Extracting # 0 : cost 0 2.464 * * [simplify]: Extracting # 1 : cost 0 2.465 * * [simplify]: Extracting # 2 : cost 0 2.465 * * [simplify]: Extracting # 3 : cost 0 2.466 * * [simplify]: Extracting # 4 : cost 0 2.467 * * [simplify]: Extracting # 5 : cost 0 2.468 * * [simplify]: Extracting # 6 : cost 0 2.468 * * [simplify]: Extracting # 7 : cost 0 2.469 * * [simplify]: Extracting # 8 : cost 0 2.470 * * [simplify]: Extracting # 9 : cost 0 2.470 * * [simplify]: Extracting # 10 : cost 0 2.471 * * [simplify]: Extracting # 11 : cost 0 2.471 * * [simplify]: Extracting # 12 : cost 0 2.472 * * [simplify]: Extracting # 13 : cost 0 2.473 * * [simplify]: Extracting # 14 : cost 0 2.473 * * [simplify]: Extracting # 15 : cost 0 2.474 * * [simplify]: Extracting # 16 : cost 0 2.474 * * [simplify]: Extracting # 17 : cost 0 2.475 * * [simplify]: Extracting # 18 : cost 0 2.476 * * [simplify]: Extracting # 19 : cost 0 2.476 * * [simplify]: Extracting # 20 : cost 0 2.477 * * [simplify]: Extracting # 21 : cost 0 2.478 * * [simplify]: Extracting # 22 : cost 0 2.478 * * [simplify]: Extracting # 23 : cost 0 2.479 * * [simplify]: Extracting # 24 : cost 0 2.479 * * [simplify]: Extracting # 25 : cost 0 2.480 * * [simplify]: Extracting # 26 : cost 0 2.481 * * [simplify]: Extracting # 27 : cost 0 2.481 * * [simplify]: Extracting # 28 : cost 0 2.482 * * [simplify]: Extracting # 29 : cost 0 2.482 * * [simplify]: Extracting # 30 : cost 0 2.483 * * [simplify]: Extracting # 31 : cost 0 2.484 * * [simplify]: Extracting # 32 : cost 0 2.484 * * [simplify]: iteration 0 : 369 enodes (cost 2880 ) 2.648 * * [simplify]: Extracting # 0 : cost 0 2.651 * * [simplify]: Extracting # 1 : cost 0 2.654 * * [simplify]: Extracting # 2 : cost 0 2.657 * * [simplify]: Extracting # 3 : cost 0 2.660 * * [simplify]: Extracting # 4 : cost 0 2.663 * * [simplify]: Extracting # 5 : cost 0 2.666 * * [simplify]: Extracting # 6 : cost 0 2.669 * * [simplify]: iteration 1 : 1037 enodes (cost 2720 ) 3.412 * * [simplify]: Extracting # 0 : cost 0 3.420 * * [simplify]: Extracting # 1 : cost 0 3.433 * * [simplify]: Extracting # 2 : cost 0 3.452 * * [simplify]: Extracting # 3 : cost 0 3.466 * * [simplify]: Extracting # 4 : cost 0 3.479 * * [simplify]: Extracting # 5 : cost 0 3.494 * * [simplify]: iteration 2 : 4907 enodes (cost 2552 ) 5.294 * * [simplify]: Extracting # 0 : cost 0 5.308 * * [simplify]: Extracting # 1 : cost 0 5.320 * * [simplify]: Extracting # 2 : cost 0 5.328 * * [simplify]: Extracting # 3 : cost 0 5.340 * * [simplify]: Extracting # 4 : cost 0 5.347 * * [simplify]: iteration done: 5000 enodes (cost 2549 ) 5.349 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 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 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (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) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* k (sqrt k))) (* (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))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (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) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (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)))) (log (* (/ 1.0 (sqrt k)) (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)))) (log (* (/ 1.0 (sqrt k)) (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)))) (log (* (/ 1.0 (sqrt k)) (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)))) (log (* (/ 1.0 (sqrt k)) (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)))) (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)))) (/ (pow 1.0 3) (/ (* k (sqrt k)) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3))) (* (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (pow (/ 1.0 (sqrt k)) 3)) (* (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)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fma (* 0.125 (pow k 2)) (+ (* (pow (* (* 2.0 PI) n) 0.5) (pow (log (* 2.0 PI)) 2)) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2))) (- (fma 0.25 (* (* (pow k 2) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n))) (pow (* (* 2.0 PI) n) 0.5)) (* (* k (+ (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)))) 0.5))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (fma +nan.0 k (- (fma +nan.0 (pow k 2) (- +nan.0))))) (- (+ (- (/ +nan.0 (pow k 2)) (/ +nan.0 k)) (/ +nan.0 (pow k 3)))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) +nan.0))) (+ (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (fma (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) +nan.0 (fma (* +nan.0 (* (pow k 2) (log n))) (- (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) (fma (* +nan.0 (* k (log n))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (fma (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (- +nan.0) (* +nan.0 (- (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))) (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (+ (* (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 3)) (- +nan.0)) (* +nan.0 (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 2))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 5.350 * * * [progress]: adding candidates to table 5.993 * * [progress]: iteration 2 / 4 5.993 * * * [progress]: picking best candidate 6.024 * * * * [pick]: Picked # 6.024 * * * [progress]: localizing error 6.043 * * * [progress]: generating rewritten candidates 6.043 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 6.051 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 6.072 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 6.107 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 6.119 * * * [progress]: generating series expansions 6.119 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 6.120 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 6.120 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 6.120 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 6.120 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 6.120 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 6.120 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.120 * [taylor]: Taking taylor expansion of 0.5 in k 6.120 * [backup-simplify]: Simplify 0.5 into 0.5 6.120 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.120 * [taylor]: Taking taylor expansion of 1.0 in k 6.120 * [backup-simplify]: Simplify 1.0 into 1.0 6.120 * [taylor]: Taking taylor expansion of k in k 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [backup-simplify]: Simplify 1 into 1 6.120 * [taylor]: Taking taylor expansion of (log n) in k 6.120 * [taylor]: Taking taylor expansion of n in k 6.120 * [backup-simplify]: Simplify n into n 6.120 * [backup-simplify]: Simplify (log n) into (log n) 6.120 * [backup-simplify]: Simplify (- 0) into 0 6.121 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.121 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 6.121 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 6.121 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 6.121 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 6.121 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 6.121 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 6.121 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.121 * [taylor]: Taking taylor expansion of 0.5 in n 6.121 * [backup-simplify]: Simplify 0.5 into 0.5 6.121 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.121 * [taylor]: Taking taylor expansion of 1.0 in n 6.121 * [backup-simplify]: Simplify 1.0 into 1.0 6.121 * [taylor]: Taking taylor expansion of k in n 6.121 * [backup-simplify]: Simplify k into k 6.121 * [taylor]: Taking taylor expansion of (log n) in n 6.121 * [taylor]: Taking taylor expansion of n in n 6.121 * [backup-simplify]: Simplify 0 into 0 6.121 * [backup-simplify]: Simplify 1 into 1 6.122 * [backup-simplify]: Simplify (log 1) into 0 6.122 * [backup-simplify]: Simplify (- k) into (- k) 6.122 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 6.122 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 6.122 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.122 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 6.122 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 6.122 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 6.122 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 6.122 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 6.122 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.122 * [taylor]: Taking taylor expansion of 0.5 in n 6.122 * [backup-simplify]: Simplify 0.5 into 0.5 6.122 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.123 * [taylor]: Taking taylor expansion of 1.0 in n 6.123 * [backup-simplify]: Simplify 1.0 into 1.0 6.123 * [taylor]: Taking taylor expansion of k in n 6.123 * [backup-simplify]: Simplify k into k 6.123 * [taylor]: Taking taylor expansion of (log n) in n 6.123 * [taylor]: Taking taylor expansion of n in n 6.123 * [backup-simplify]: Simplify 0 into 0 6.123 * [backup-simplify]: Simplify 1 into 1 6.123 * [backup-simplify]: Simplify (log 1) into 0 6.123 * [backup-simplify]: Simplify (- k) into (- k) 6.123 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 6.123 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 6.123 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.123 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 6.124 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 6.124 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 6.124 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 6.124 * [taylor]: Taking taylor expansion of 0.5 in k 6.124 * [backup-simplify]: Simplify 0.5 into 0.5 6.124 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 6.124 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.124 * [taylor]: Taking taylor expansion of 1.0 in k 6.124 * [backup-simplify]: Simplify 1.0 into 1.0 6.124 * [taylor]: Taking taylor expansion of k in k 6.124 * [backup-simplify]: Simplify 0 into 0 6.124 * [backup-simplify]: Simplify 1 into 1 6.124 * [taylor]: Taking taylor expansion of (log n) in k 6.124 * [taylor]: Taking taylor expansion of n in k 6.124 * [backup-simplify]: Simplify n into n 6.124 * [backup-simplify]: Simplify (log n) into (log n) 6.124 * [backup-simplify]: Simplify (- 0) into 0 6.125 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.125 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.125 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 6.125 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 6.125 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 6.126 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.126 * [backup-simplify]: Simplify (- 0) into 0 6.126 * [backup-simplify]: Simplify (+ 0 0) into 0 6.127 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 6.127 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.127 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 6.128 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.128 * [taylor]: Taking taylor expansion of 0 in k 6.128 * [backup-simplify]: Simplify 0 into 0 6.128 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 6.129 * [backup-simplify]: Simplify (- 1) into -1 6.129 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.129 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 6.129 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 6.130 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 6.130 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 6.131 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.132 * [backup-simplify]: Simplify (- 0) into 0 6.132 * [backup-simplify]: Simplify (+ 0 0) into 0 6.133 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 6.133 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.133 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 6.134 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.134 * [taylor]: Taking taylor expansion of 0 in k 6.134 * [backup-simplify]: Simplify 0 into 0 6.134 * [backup-simplify]: Simplify 0 into 0 6.134 * [backup-simplify]: Simplify 0 into 0 6.135 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 6.135 * [backup-simplify]: Simplify (- 0) into 0 6.136 * [backup-simplify]: Simplify (+ 0 0) into 0 6.136 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 6.137 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 6.137 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 6.137 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 6.138 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 6.138 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 6.138 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 6.138 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.138 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 6.138 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 6.139 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.139 * [taylor]: Taking taylor expansion of 0.5 in k 6.139 * [backup-simplify]: Simplify 0.5 into 0.5 6.139 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.139 * [taylor]: Taking taylor expansion of 1.0 in k 6.139 * [backup-simplify]: Simplify 1.0 into 1.0 6.139 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.139 * [taylor]: Taking taylor expansion of k in k 6.139 * [backup-simplify]: Simplify 0 into 0 6.139 * [backup-simplify]: Simplify 1 into 1 6.139 * [backup-simplify]: Simplify (/ 1 1) into 1 6.139 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 6.139 * [taylor]: Taking taylor expansion of (/ 1 n) in k 6.139 * [taylor]: Taking taylor expansion of n in k 6.139 * [backup-simplify]: Simplify n into n 6.139 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.139 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 6.139 * [backup-simplify]: Simplify (- 1) into -1 6.140 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.140 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.140 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 6.140 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 6.140 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.140 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 6.140 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 6.140 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.140 * [taylor]: Taking taylor expansion of 0.5 in n 6.140 * [backup-simplify]: Simplify 0.5 into 0.5 6.140 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.140 * [taylor]: Taking taylor expansion of 1.0 in n 6.140 * [backup-simplify]: Simplify 1.0 into 1.0 6.140 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.140 * [taylor]: Taking taylor expansion of k in n 6.140 * [backup-simplify]: Simplify k into k 6.140 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.140 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 6.140 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.140 * [taylor]: Taking taylor expansion of n in n 6.140 * [backup-simplify]: Simplify 0 into 0 6.140 * [backup-simplify]: Simplify 1 into 1 6.141 * [backup-simplify]: Simplify (/ 1 1) into 1 6.141 * [backup-simplify]: Simplify (log 1) into 0 6.141 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.141 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.141 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 6.141 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.141 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 6.142 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 6.142 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.142 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 6.142 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 6.142 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.142 * [taylor]: Taking taylor expansion of 0.5 in n 6.142 * [backup-simplify]: Simplify 0.5 into 0.5 6.142 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.142 * [taylor]: Taking taylor expansion of 1.0 in n 6.142 * [backup-simplify]: Simplify 1.0 into 1.0 6.142 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.142 * [taylor]: Taking taylor expansion of k in n 6.142 * [backup-simplify]: Simplify k into k 6.142 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.142 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 6.142 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.142 * [taylor]: Taking taylor expansion of n in n 6.142 * [backup-simplify]: Simplify 0 into 0 6.142 * [backup-simplify]: Simplify 1 into 1 6.142 * [backup-simplify]: Simplify (/ 1 1) into 1 6.142 * [backup-simplify]: Simplify (log 1) into 0 6.142 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.143 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.143 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 6.143 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.143 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 6.143 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 6.143 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 6.143 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 6.143 * [taylor]: Taking taylor expansion of -0.5 in k 6.143 * [backup-simplify]: Simplify -0.5 into -0.5 6.143 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 6.143 * [taylor]: Taking taylor expansion of (log n) in k 6.143 * [taylor]: Taking taylor expansion of n in k 6.143 * [backup-simplify]: Simplify n into n 6.143 * [backup-simplify]: Simplify (log n) into (log n) 6.143 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.143 * [taylor]: Taking taylor expansion of 1.0 in k 6.143 * [backup-simplify]: Simplify 1.0 into 1.0 6.143 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.143 * [taylor]: Taking taylor expansion of k in k 6.143 * [backup-simplify]: Simplify 0 into 0 6.144 * [backup-simplify]: Simplify 1 into 1 6.144 * [backup-simplify]: Simplify (/ 1 1) into 1 6.144 * [backup-simplify]: Simplify (- 1) into -1 6.144 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.144 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 6.144 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 6.144 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 6.145 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 6.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.146 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.146 * [backup-simplify]: Simplify (- 0) into 0 6.146 * [backup-simplify]: Simplify (+ 0 0) into 0 6.147 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 6.147 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.147 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 6.148 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.148 * [taylor]: Taking taylor expansion of 0 in k 6.148 * [backup-simplify]: Simplify 0 into 0 6.148 * [backup-simplify]: Simplify 0 into 0 6.148 * [backup-simplify]: Simplify 0 into 0 6.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.150 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.150 * [backup-simplify]: Simplify (- 0) into 0 6.150 * [backup-simplify]: Simplify (+ 0 0) into 0 6.151 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 6.151 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.152 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 6.153 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.153 * [taylor]: Taking taylor expansion of 0 in k 6.153 * [backup-simplify]: Simplify 0 into 0 6.153 * [backup-simplify]: Simplify 0 into 0 6.153 * [backup-simplify]: Simplify 0 into 0 6.153 * [backup-simplify]: Simplify 0 into 0 6.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.156 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.156 * [backup-simplify]: Simplify (- 0) into 0 6.157 * [backup-simplify]: Simplify (+ 0 0) into 0 6.157 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 6.158 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.158 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 6.159 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.159 * [taylor]: Taking taylor expansion of 0 in k 6.159 * [backup-simplify]: Simplify 0 into 0 6.159 * [backup-simplify]: Simplify 0 into 0 6.160 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 6.160 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 6.160 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 6.160 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.160 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 6.160 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 6.160 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.160 * [taylor]: Taking taylor expansion of 0.5 in k 6.160 * [backup-simplify]: Simplify 0.5 into 0.5 6.160 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.160 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.160 * [taylor]: Taking taylor expansion of k in k 6.160 * [backup-simplify]: Simplify 0 into 0 6.160 * [backup-simplify]: Simplify 1 into 1 6.161 * [backup-simplify]: Simplify (/ 1 1) into 1 6.161 * [taylor]: Taking taylor expansion of 1.0 in k 6.161 * [backup-simplify]: Simplify 1.0 into 1.0 6.161 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 6.161 * [taylor]: Taking taylor expansion of (/ -1 n) in k 6.161 * [taylor]: Taking taylor expansion of -1 in k 6.161 * [backup-simplify]: Simplify -1 into -1 6.161 * [taylor]: Taking taylor expansion of n in k 6.161 * [backup-simplify]: Simplify n into n 6.161 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 6.161 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 6.162 * [backup-simplify]: Simplify (+ 1 0) into 1 6.162 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.162 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 6.162 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 6.162 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.162 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 6.163 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 6.163 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.163 * [taylor]: Taking taylor expansion of 0.5 in n 6.163 * [backup-simplify]: Simplify 0.5 into 0.5 6.163 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.163 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.163 * [taylor]: Taking taylor expansion of k in n 6.163 * [backup-simplify]: Simplify k into k 6.163 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.163 * [taylor]: Taking taylor expansion of 1.0 in n 6.163 * [backup-simplify]: Simplify 1.0 into 1.0 6.163 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 6.163 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.163 * [taylor]: Taking taylor expansion of -1 in n 6.163 * [backup-simplify]: Simplify -1 into -1 6.163 * [taylor]: Taking taylor expansion of n in n 6.163 * [backup-simplify]: Simplify 0 into 0 6.163 * [backup-simplify]: Simplify 1 into 1 6.163 * [backup-simplify]: Simplify (/ -1 1) into -1 6.164 * [backup-simplify]: Simplify (log -1) into (log -1) 6.164 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.164 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.165 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.166 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 6.166 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 6.166 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.166 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 6.166 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 6.166 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.166 * [taylor]: Taking taylor expansion of 0.5 in n 6.166 * [backup-simplify]: Simplify 0.5 into 0.5 6.166 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.166 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.166 * [taylor]: Taking taylor expansion of k in n 6.167 * [backup-simplify]: Simplify k into k 6.167 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.167 * [taylor]: Taking taylor expansion of 1.0 in n 6.167 * [backup-simplify]: Simplify 1.0 into 1.0 6.167 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 6.167 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.167 * [taylor]: Taking taylor expansion of -1 in n 6.167 * [backup-simplify]: Simplify -1 into -1 6.167 * [taylor]: Taking taylor expansion of n in n 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [backup-simplify]: Simplify 1 into 1 6.167 * [backup-simplify]: Simplify (/ -1 1) into -1 6.168 * [backup-simplify]: Simplify (log -1) into (log -1) 6.168 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.168 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.169 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.169 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 6.170 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 6.170 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 6.170 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 6.170 * [taylor]: Taking taylor expansion of 0.5 in k 6.170 * [backup-simplify]: Simplify 0.5 into 0.5 6.170 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 6.170 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 6.170 * [taylor]: Taking taylor expansion of (log -1) in k 6.170 * [taylor]: Taking taylor expansion of -1 in k 6.170 * [backup-simplify]: Simplify -1 into -1 6.171 * [backup-simplify]: Simplify (log -1) into (log -1) 6.171 * [taylor]: Taking taylor expansion of (log n) in k 6.171 * [taylor]: Taking taylor expansion of n in k 6.171 * [backup-simplify]: Simplify n into n 6.171 * [backup-simplify]: Simplify (log n) into (log n) 6.171 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.171 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.171 * [taylor]: Taking taylor expansion of k in k 6.171 * [backup-simplify]: Simplify 0 into 0 6.171 * [backup-simplify]: Simplify 1 into 1 6.171 * [backup-simplify]: Simplify (/ 1 1) into 1 6.171 * [taylor]: Taking taylor expansion of 1.0 in k 6.171 * [backup-simplify]: Simplify 1.0 into 1.0 6.171 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 6.172 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 6.172 * [backup-simplify]: Simplify (+ 1 0) into 1 6.173 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 6.173 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 6.174 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 6.174 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 6.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.177 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 6.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.184 * [backup-simplify]: Simplify (+ 0 0) into 0 6.185 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 6.186 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.187 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 6.188 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.188 * [taylor]: Taking taylor expansion of 0 in k 6.188 * [backup-simplify]: Simplify 0 into 0 6.188 * [backup-simplify]: Simplify 0 into 0 6.188 * [backup-simplify]: Simplify 0 into 0 6.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.192 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 6.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.193 * [backup-simplify]: Simplify (+ 0 0) into 0 6.194 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 6.195 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.196 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 6.198 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.198 * [taylor]: Taking taylor expansion of 0 in k 6.198 * [backup-simplify]: Simplify 0 into 0 6.198 * [backup-simplify]: Simplify 0 into 0 6.198 * [backup-simplify]: Simplify 0 into 0 6.198 * [backup-simplify]: Simplify 0 into 0 6.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.205 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 6.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.206 * [backup-simplify]: Simplify (+ 0 0) into 0 6.207 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 6.208 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.209 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 6.211 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.211 * [taylor]: Taking taylor expansion of 0 in k 6.211 * [backup-simplify]: Simplify 0 into 0 6.211 * [backup-simplify]: Simplify 0 into 0 6.212 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 6.212 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 6.213 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 6.213 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 6.213 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 6.213 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 6.213 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 6.213 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.213 * [taylor]: Taking taylor expansion of 0.5 in k 6.213 * [backup-simplify]: Simplify 0.5 into 0.5 6.213 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.213 * [taylor]: Taking taylor expansion of 1.0 in k 6.213 * [backup-simplify]: Simplify 1.0 into 1.0 6.213 * [taylor]: Taking taylor expansion of k in k 6.213 * [backup-simplify]: Simplify 0 into 0 6.213 * [backup-simplify]: Simplify 1 into 1 6.213 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.213 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.213 * [taylor]: Taking taylor expansion of 2.0 in k 6.213 * [backup-simplify]: Simplify 2.0 into 2.0 6.213 * [taylor]: Taking taylor expansion of PI in k 6.213 * [backup-simplify]: Simplify PI into PI 6.214 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.215 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.215 * [backup-simplify]: Simplify (- 0) into 0 6.216 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.216 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 6.218 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 6.220 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 6.220 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 6.220 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 6.220 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 6.220 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.221 * [taylor]: Taking taylor expansion of 0.5 in k 6.221 * [backup-simplify]: Simplify 0.5 into 0.5 6.221 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.221 * [taylor]: Taking taylor expansion of 1.0 in k 6.221 * [backup-simplify]: Simplify 1.0 into 1.0 6.221 * [taylor]: Taking taylor expansion of k in k 6.221 * [backup-simplify]: Simplify 0 into 0 6.221 * [backup-simplify]: Simplify 1 into 1 6.221 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.221 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.221 * [taylor]: Taking taylor expansion of 2.0 in k 6.221 * [backup-simplify]: Simplify 2.0 into 2.0 6.221 * [taylor]: Taking taylor expansion of PI in k 6.221 * [backup-simplify]: Simplify PI into PI 6.221 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.222 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.223 * [backup-simplify]: Simplify (- 0) into 0 6.223 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.224 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 6.225 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 6.228 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 6.228 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 6.229 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.230 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.230 * [backup-simplify]: Simplify (- 1) into -1 6.230 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.231 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 6.233 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 6.241 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 6.245 * [backup-simplify]: Simplify (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 6.246 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.248 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 6.248 * [backup-simplify]: Simplify (- 0) into 0 6.248 * [backup-simplify]: Simplify (+ 0 0) into 0 6.249 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 6.249 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 6.258 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 6.263 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 6.272 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow k 2)) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 6.273 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 6.273 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 6.273 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.273 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 6.273 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 6.273 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.273 * [taylor]: Taking taylor expansion of 0.5 in k 6.273 * [backup-simplify]: Simplify 0.5 into 0.5 6.273 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.273 * [taylor]: Taking taylor expansion of 1.0 in k 6.273 * [backup-simplify]: Simplify 1.0 into 1.0 6.273 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.273 * [taylor]: Taking taylor expansion of k in k 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify 1 into 1 6.273 * [backup-simplify]: Simplify (/ 1 1) into 1 6.274 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.274 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.274 * [taylor]: Taking taylor expansion of 2.0 in k 6.274 * [backup-simplify]: Simplify 2.0 into 2.0 6.274 * [taylor]: Taking taylor expansion of PI in k 6.274 * [backup-simplify]: Simplify PI into PI 6.274 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.275 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.275 * [backup-simplify]: Simplify (- 1) into -1 6.275 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.275 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.276 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 6.277 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 6.277 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.277 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 6.277 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 6.277 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.277 * [taylor]: Taking taylor expansion of 0.5 in k 6.277 * [backup-simplify]: Simplify 0.5 into 0.5 6.277 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.277 * [taylor]: Taking taylor expansion of 1.0 in k 6.277 * [backup-simplify]: Simplify 1.0 into 1.0 6.277 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.277 * [taylor]: Taking taylor expansion of k in k 6.277 * [backup-simplify]: Simplify 0 into 0 6.277 * [backup-simplify]: Simplify 1 into 1 6.278 * [backup-simplify]: Simplify (/ 1 1) into 1 6.278 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.278 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.278 * [taylor]: Taking taylor expansion of 2.0 in k 6.278 * [backup-simplify]: Simplify 2.0 into 2.0 6.278 * [taylor]: Taking taylor expansion of PI in k 6.278 * [backup-simplify]: Simplify PI into PI 6.278 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.279 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.279 * [backup-simplify]: Simplify (- 1) into -1 6.279 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.279 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.280 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 6.281 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 6.282 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 6.282 * [backup-simplify]: Simplify 0 into 0 6.282 * [backup-simplify]: Simplify 0 into 0 6.282 * [backup-simplify]: Simplify 0 into 0 6.282 * [backup-simplify]: Simplify 0 into 0 6.282 * [backup-simplify]: Simplify 0 into 0 6.282 * [backup-simplify]: Simplify 0 into 0 6.283 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 6.283 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 6.283 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 6.283 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.283 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 6.283 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 6.283 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.283 * [taylor]: Taking taylor expansion of 0.5 in k 6.284 * [backup-simplify]: Simplify 0.5 into 0.5 6.284 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.284 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.284 * [taylor]: Taking taylor expansion of k in k 6.284 * [backup-simplify]: Simplify 0 into 0 6.284 * [backup-simplify]: Simplify 1 into 1 6.284 * [backup-simplify]: Simplify (/ 1 1) into 1 6.284 * [taylor]: Taking taylor expansion of 1.0 in k 6.284 * [backup-simplify]: Simplify 1.0 into 1.0 6.284 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.284 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.284 * [taylor]: Taking taylor expansion of 2.0 in k 6.284 * [backup-simplify]: Simplify 2.0 into 2.0 6.284 * [taylor]: Taking taylor expansion of PI in k 6.284 * [backup-simplify]: Simplify PI into PI 6.285 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.286 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.286 * [backup-simplify]: Simplify (+ 1 0) into 1 6.287 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.289 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 6.290 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 6.290 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.290 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 6.290 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 6.290 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.290 * [taylor]: Taking taylor expansion of 0.5 in k 6.290 * [backup-simplify]: Simplify 0.5 into 0.5 6.290 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.290 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.290 * [taylor]: Taking taylor expansion of k in k 6.290 * [backup-simplify]: Simplify 0 into 0 6.290 * [backup-simplify]: Simplify 1 into 1 6.291 * [backup-simplify]: Simplify (/ 1 1) into 1 6.291 * [taylor]: Taking taylor expansion of 1.0 in k 6.291 * [backup-simplify]: Simplify 1.0 into 1.0 6.291 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.291 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.291 * [taylor]: Taking taylor expansion of 2.0 in k 6.291 * [backup-simplify]: Simplify 2.0 into 2.0 6.291 * [taylor]: Taking taylor expansion of PI in k 6.291 * [backup-simplify]: Simplify PI into PI 6.292 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.302 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.302 * [backup-simplify]: Simplify (+ 1 0) into 1 6.303 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.305 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 6.306 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 6.307 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 6.307 * [backup-simplify]: Simplify 0 into 0 6.307 * [backup-simplify]: Simplify 0 into 0 6.307 * [backup-simplify]: Simplify 0 into 0 6.307 * [backup-simplify]: Simplify 0 into 0 6.307 * [backup-simplify]: Simplify 0 into 0 6.307 * [backup-simplify]: Simplify 0 into 0 6.309 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 6.309 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 6.309 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) into (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) 6.310 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in (k n) around 0 6.310 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 6.310 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 6.310 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 6.310 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 6.310 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.310 * [taylor]: Taking taylor expansion of 0.5 in n 6.310 * [backup-simplify]: Simplify 0.5 into 0.5 6.310 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.310 * [taylor]: Taking taylor expansion of 1.0 in n 6.310 * [backup-simplify]: Simplify 1.0 into 1.0 6.310 * [taylor]: Taking taylor expansion of k in n 6.310 * [backup-simplify]: Simplify k into k 6.310 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.310 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.310 * [taylor]: Taking taylor expansion of 2.0 in n 6.310 * [backup-simplify]: Simplify 2.0 into 2.0 6.310 * [taylor]: Taking taylor expansion of PI in n 6.310 * [backup-simplify]: Simplify PI into PI 6.311 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.311 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.312 * [backup-simplify]: Simplify (- k) into (- k) 6.312 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 6.312 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 6.313 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) into (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) 6.314 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 6.314 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 6.314 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 6.314 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 6.314 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.314 * [taylor]: Taking taylor expansion of 0.5 in n 6.314 * [backup-simplify]: Simplify 0.5 into 0.5 6.314 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.314 * [taylor]: Taking taylor expansion of 1.0 in n 6.314 * [backup-simplify]: Simplify 1.0 into 1.0 6.314 * [taylor]: Taking taylor expansion of k in n 6.314 * [backup-simplify]: Simplify k into k 6.314 * [taylor]: Taking taylor expansion of (log n) in n 6.314 * [taylor]: Taking taylor expansion of n in n 6.314 * [backup-simplify]: Simplify 0 into 0 6.314 * [backup-simplify]: Simplify 1 into 1 6.315 * [backup-simplify]: Simplify (log 1) into 0 6.315 * [backup-simplify]: Simplify (- k) into (- k) 6.315 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 6.315 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 6.315 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.316 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 6.316 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 6.316 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 6.316 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 6.316 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 6.316 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 6.316 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.316 * [taylor]: Taking taylor expansion of 0.5 in k 6.316 * [backup-simplify]: Simplify 0.5 into 0.5 6.316 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.316 * [taylor]: Taking taylor expansion of 1.0 in k 6.316 * [backup-simplify]: Simplify 1.0 into 1.0 6.316 * [taylor]: Taking taylor expansion of k in k 6.316 * [backup-simplify]: Simplify 0 into 0 6.316 * [backup-simplify]: Simplify 1 into 1 6.316 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.316 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.316 * [taylor]: Taking taylor expansion of 2.0 in k 6.316 * [backup-simplify]: Simplify 2.0 into 2.0 6.316 * [taylor]: Taking taylor expansion of PI in k 6.316 * [backup-simplify]: Simplify PI into PI 6.317 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.318 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.318 * [backup-simplify]: Simplify (- 0) into 0 6.319 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.319 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 6.321 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 6.323 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 6.323 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 6.323 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 6.323 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 6.323 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.323 * [taylor]: Taking taylor expansion of 0.5 in k 6.323 * [backup-simplify]: Simplify 0.5 into 0.5 6.324 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.324 * [taylor]: Taking taylor expansion of 1.0 in k 6.324 * [backup-simplify]: Simplify 1.0 into 1.0 6.324 * [taylor]: Taking taylor expansion of k in k 6.324 * [backup-simplify]: Simplify 0 into 0 6.324 * [backup-simplify]: Simplify 1 into 1 6.324 * [taylor]: Taking taylor expansion of (log n) in k 6.324 * [taylor]: Taking taylor expansion of n in k 6.324 * [backup-simplify]: Simplify n into n 6.324 * [backup-simplify]: Simplify (log n) into (log n) 6.324 * [backup-simplify]: Simplify (- 0) into 0 6.325 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.325 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 6.325 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 6.325 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 6.325 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 6.325 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 6.325 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 6.325 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 6.325 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.325 * [taylor]: Taking taylor expansion of 0.5 in k 6.325 * [backup-simplify]: Simplify 0.5 into 0.5 6.325 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.325 * [taylor]: Taking taylor expansion of 1.0 in k 6.326 * [backup-simplify]: Simplify 1.0 into 1.0 6.326 * [taylor]: Taking taylor expansion of k in k 6.326 * [backup-simplify]: Simplify 0 into 0 6.326 * [backup-simplify]: Simplify 1 into 1 6.326 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.326 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.326 * [taylor]: Taking taylor expansion of 2.0 in k 6.326 * [backup-simplify]: Simplify 2.0 into 2.0 6.326 * [taylor]: Taking taylor expansion of PI in k 6.326 * [backup-simplify]: Simplify PI into PI 6.326 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.327 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.328 * [backup-simplify]: Simplify (- 0) into 0 6.328 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.328 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 6.330 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 6.333 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 6.333 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 6.333 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 6.333 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 6.333 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.333 * [taylor]: Taking taylor expansion of 0.5 in k 6.333 * [backup-simplify]: Simplify 0.5 into 0.5 6.333 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.333 * [taylor]: Taking taylor expansion of 1.0 in k 6.333 * [backup-simplify]: Simplify 1.0 into 1.0 6.333 * [taylor]: Taking taylor expansion of k in k 6.333 * [backup-simplify]: Simplify 0 into 0 6.333 * [backup-simplify]: Simplify 1 into 1 6.333 * [taylor]: Taking taylor expansion of (log n) in k 6.333 * [taylor]: Taking taylor expansion of n in k 6.333 * [backup-simplify]: Simplify n into n 6.333 * [backup-simplify]: Simplify (log n) into (log n) 6.334 * [backup-simplify]: Simplify (- 0) into 0 6.334 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.335 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 6.335 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 6.335 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 6.336 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.5) (pow n 0.5)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 6.336 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.337 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.337 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.337 * [taylor]: Taking taylor expansion of 0.5 in n 6.337 * [backup-simplify]: Simplify 0.5 into 0.5 6.337 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.337 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.337 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.337 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.337 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.337 * [taylor]: Taking taylor expansion of 1.0 in n 6.337 * [backup-simplify]: Simplify 1.0 into 1.0 6.337 * [taylor]: Taking taylor expansion of (log PI) in n 6.337 * [taylor]: Taking taylor expansion of PI in n 6.337 * [backup-simplify]: Simplify PI into PI 6.337 * [backup-simplify]: Simplify (log PI) into (log PI) 6.338 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 6.340 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 6.340 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.340 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.340 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.340 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.340 * [taylor]: Taking taylor expansion of 1.0 in n 6.340 * [backup-simplify]: Simplify 1.0 into 1.0 6.340 * [taylor]: Taking taylor expansion of (log n) in n 6.340 * [taylor]: Taking taylor expansion of n in n 6.340 * [backup-simplify]: Simplify 0 into 0 6.340 * [backup-simplify]: Simplify 1 into 1 6.340 * [backup-simplify]: Simplify (log 1) into 0 6.340 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.340 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.341 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 6.341 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.341 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.341 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.341 * [taylor]: Taking taylor expansion of 1.0 in n 6.341 * [backup-simplify]: Simplify 1.0 into 1.0 6.341 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.341 * [taylor]: Taking taylor expansion of 2.0 in n 6.341 * [backup-simplify]: Simplify 2.0 into 2.0 6.341 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.342 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 6.342 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 6.343 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 6.344 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 6.344 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 6.345 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 6.346 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 6.347 * [backup-simplify]: Simplify (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) into (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) 6.348 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 6.348 * [backup-simplify]: Simplify (- 1) into -1 6.348 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.349 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 6.350 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 6.350 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 6.351 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.352 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.352 * [backup-simplify]: Simplify (- 1) into -1 6.352 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.354 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 6.356 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 6.363 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 6.369 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (pow n 0.5))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 6.369 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 6.369 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 6.369 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 6.369 * [taylor]: Taking taylor expansion of 0.5 in n 6.369 * [backup-simplify]: Simplify 0.5 into 0.5 6.369 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 6.369 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.369 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.369 * [taylor]: Taking taylor expansion of 2.0 in n 6.369 * [backup-simplify]: Simplify 2.0 into 2.0 6.369 * [taylor]: Taking taylor expansion of PI in n 6.369 * [backup-simplify]: Simplify PI into PI 6.370 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.371 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.371 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.371 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.371 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.371 * [taylor]: Taking taylor expansion of 0.5 in n 6.371 * [backup-simplify]: Simplify 0.5 into 0.5 6.371 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.371 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.371 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.371 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.371 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.371 * [taylor]: Taking taylor expansion of 1.0 in n 6.371 * [backup-simplify]: Simplify 1.0 into 1.0 6.371 * [taylor]: Taking taylor expansion of (log PI) in n 6.371 * [taylor]: Taking taylor expansion of PI in n 6.371 * [backup-simplify]: Simplify PI into PI 6.372 * [backup-simplify]: Simplify (log PI) into (log PI) 6.373 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 6.374 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 6.374 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.374 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.374 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.374 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.375 * [taylor]: Taking taylor expansion of 1.0 in n 6.375 * [backup-simplify]: Simplify 1.0 into 1.0 6.375 * [taylor]: Taking taylor expansion of (log n) in n 6.375 * [taylor]: Taking taylor expansion of n in n 6.375 * [backup-simplify]: Simplify 0 into 0 6.375 * [backup-simplify]: Simplify 1 into 1 6.375 * [backup-simplify]: Simplify (log 1) into 0 6.375 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.376 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.376 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 6.376 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.376 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.376 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.376 * [taylor]: Taking taylor expansion of 1.0 in n 6.376 * [backup-simplify]: Simplify 1.0 into 1.0 6.376 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.376 * [taylor]: Taking taylor expansion of 2.0 in n 6.376 * [backup-simplify]: Simplify 2.0 into 2.0 6.376 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.377 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 6.379 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 6.379 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 6.381 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 6.382 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 6.383 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 6.385 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 6.385 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 6.385 * [taylor]: Taking taylor expansion of 0.5 in n 6.385 * [backup-simplify]: Simplify 0.5 into 0.5 6.385 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 6.385 * [taylor]: Taking taylor expansion of (log n) in n 6.385 * [taylor]: Taking taylor expansion of n in n 6.385 * [backup-simplify]: Simplify 0 into 0 6.385 * [backup-simplify]: Simplify 1 into 1 6.385 * [backup-simplify]: Simplify (log 1) into 0 6.385 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.385 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.385 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.385 * [taylor]: Taking taylor expansion of 0.5 in n 6.385 * [backup-simplify]: Simplify 0.5 into 0.5 6.385 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.385 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.385 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.385 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.386 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.386 * [taylor]: Taking taylor expansion of 1.0 in n 6.386 * [backup-simplify]: Simplify 1.0 into 1.0 6.386 * [taylor]: Taking taylor expansion of (log PI) in n 6.386 * [taylor]: Taking taylor expansion of PI in n 6.386 * [backup-simplify]: Simplify PI into PI 6.386 * [backup-simplify]: Simplify (log PI) into (log PI) 6.387 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 6.389 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 6.389 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.389 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.389 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.389 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.389 * [taylor]: Taking taylor expansion of 1.0 in n 6.389 * [backup-simplify]: Simplify 1.0 into 1.0 6.389 * [taylor]: Taking taylor expansion of (log n) in n 6.389 * [taylor]: Taking taylor expansion of n in n 6.389 * [backup-simplify]: Simplify 0 into 0 6.389 * [backup-simplify]: Simplify 1 into 1 6.389 * [backup-simplify]: Simplify (log 1) into 0 6.390 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.390 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.390 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 6.390 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.390 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.390 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.390 * [taylor]: Taking taylor expansion of 1.0 in n 6.390 * [backup-simplify]: Simplify 1.0 into 1.0 6.390 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.390 * [taylor]: Taking taylor expansion of 2.0 in n 6.390 * [backup-simplify]: Simplify 2.0 into 2.0 6.391 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.391 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 6.393 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 6.394 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 6.395 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 6.396 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 6.397 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 6.398 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 6.399 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 6.401 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 6.401 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.402 * [backup-simplify]: Simplify (* (log n) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) 6.403 * [backup-simplify]: Simplify (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) into (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 6.406 * [backup-simplify]: Simplify (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 6.408 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 6.411 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 6.412 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 6.412 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 6.413 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 6.414 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.414 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.414 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 6.415 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 6.415 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 6.416 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 6.417 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 6.418 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 6.425 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 6.428 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0 6.430 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0 6.432 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.432 * [backup-simplify]: Simplify 0 into 0 6.434 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 6.434 * [backup-simplify]: Simplify (- 0) into 0 6.435 * [backup-simplify]: Simplify (+ 0 0) into 0 6.436 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 6.437 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 6.438 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 6.439 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.443 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 6.443 * [backup-simplify]: Simplify (- 0) into 0 6.444 * [backup-simplify]: Simplify (+ 0 0) into 0 6.445 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 6.446 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 6.463 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 6.481 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2)))) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (pow n 0.5)))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 6.481 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 6.481 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 6.481 * [taylor]: Taking taylor expansion of 0.125 in n 6.481 * [backup-simplify]: Simplify 0.125 into 0.125 6.481 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 6.481 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 6.481 * [taylor]: Taking taylor expansion of (log n) in n 6.481 * [taylor]: Taking taylor expansion of n in n 6.482 * [backup-simplify]: Simplify 0 into 0 6.482 * [backup-simplify]: Simplify 1 into 1 6.482 * [backup-simplify]: Simplify (log 1) into 0 6.482 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.482 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.482 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.483 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.483 * [taylor]: Taking taylor expansion of 0.5 in n 6.483 * [backup-simplify]: Simplify 0.5 into 0.5 6.483 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.483 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.483 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.483 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.483 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.483 * [taylor]: Taking taylor expansion of 1.0 in n 6.483 * [backup-simplify]: Simplify 1.0 into 1.0 6.483 * [taylor]: Taking taylor expansion of (log PI) in n 6.483 * [taylor]: Taking taylor expansion of PI in n 6.483 * [backup-simplify]: Simplify PI into PI 6.483 * [backup-simplify]: Simplify (log PI) into (log PI) 6.484 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 6.486 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 6.486 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.486 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.486 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.486 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.486 * [taylor]: Taking taylor expansion of 1.0 in n 6.486 * [backup-simplify]: Simplify 1.0 into 1.0 6.486 * [taylor]: Taking taylor expansion of (log n) in n 6.486 * [taylor]: Taking taylor expansion of n in n 6.486 * [backup-simplify]: Simplify 0 into 0 6.486 * [backup-simplify]: Simplify 1 into 1 6.487 * [backup-simplify]: Simplify (log 1) into 0 6.487 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.487 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.487 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 6.487 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.487 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.487 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.487 * [taylor]: Taking taylor expansion of 1.0 in n 6.487 * [backup-simplify]: Simplify 1.0 into 1.0 6.487 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.487 * [taylor]: Taking taylor expansion of 2.0 in n 6.487 * [backup-simplify]: Simplify 2.0 into 2.0 6.488 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.489 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 6.490 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 6.491 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 6.492 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 6.493 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 6.495 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 6.496 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 6.496 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 6.496 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 6.496 * [taylor]: Taking taylor expansion of 0.25 in n 6.496 * [backup-simplify]: Simplify 0.25 into 0.25 6.496 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 6.496 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 6.496 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.496 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.496 * [taylor]: Taking taylor expansion of 2.0 in n 6.496 * [backup-simplify]: Simplify 2.0 into 2.0 6.496 * [taylor]: Taking taylor expansion of PI in n 6.496 * [backup-simplify]: Simplify PI into PI 6.497 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.498 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.498 * [taylor]: Taking taylor expansion of (log n) in n 6.498 * [taylor]: Taking taylor expansion of n in n 6.498 * [backup-simplify]: Simplify 0 into 0 6.498 * [backup-simplify]: Simplify 1 into 1 6.498 * [backup-simplify]: Simplify (log 1) into 0 6.498 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 6.499 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 6.499 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 6.499 * [taylor]: Taking taylor expansion of 0.5 in n 6.499 * [backup-simplify]: Simplify 0.5 into 0.5 6.499 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 6.499 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 6.499 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.499 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.499 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.499 * [taylor]: Taking taylor expansion of 1.0 in n 6.499 * [backup-simplify]: Simplify 1.0 into 1.0 6.499 * [taylor]: Taking taylor expansion of (log PI) in n 6.499 * [taylor]: Taking taylor expansion of PI in n 6.499 * [backup-simplify]: Simplify PI into PI 6.499 * [backup-simplify]: Simplify (log PI) into (log PI) 6.500 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 6.502 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 6.502 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 6.502 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.502 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.502 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.502 * [taylor]: Taking taylor expansion of 1.0 in n 6.502 * [backup-simplify]: Simplify 1.0 into 1.0 6.502 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.502 * [taylor]: Taking taylor expansion of 2.0 in n 6.502 * [backup-simplify]: Simplify 2.0 into 2.0 6.502 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.503 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 6.504 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 6.504 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.504 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.504 * [taylor]: Taking taylor expansion of 1.0 in n 6.504 * [backup-simplify]: Simplify 1.0 into 1.0 6.504 * [taylor]: Taking taylor expansion of (log n) in n 6.504 * [taylor]: Taking taylor expansion of n in n 6.504 * [backup-simplify]: Simplify 0 into 0 6.504 * [backup-simplify]: Simplify 1 into 1 6.505 * [backup-simplify]: Simplify (log 1) into 0 6.505 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.505 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.505 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 6.505 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 6.506 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 6.507 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 6.508 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 6.509 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 6.509 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 6.509 * [taylor]: Taking taylor expansion of 0.125 in n 6.509 * [backup-simplify]: Simplify 0.125 into 0.125 6.509 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 6.509 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 6.509 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.509 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.509 * [taylor]: Taking taylor expansion of 2.0 in n 6.509 * [backup-simplify]: Simplify 2.0 into 2.0 6.509 * [taylor]: Taking taylor expansion of PI in n 6.509 * [backup-simplify]: Simplify PI into PI 6.509 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.510 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.510 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.510 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.510 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.510 * [taylor]: Taking taylor expansion of 0.5 in n 6.510 * [backup-simplify]: Simplify 0.5 into 0.5 6.510 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.510 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.510 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.510 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.510 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.510 * [taylor]: Taking taylor expansion of 1.0 in n 6.510 * [backup-simplify]: Simplify 1.0 into 1.0 6.510 * [taylor]: Taking taylor expansion of (log PI) in n 6.510 * [taylor]: Taking taylor expansion of PI in n 6.510 * [backup-simplify]: Simplify PI into PI 6.510 * [backup-simplify]: Simplify (log PI) into (log PI) 6.511 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 6.512 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 6.512 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.512 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.512 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.512 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.512 * [taylor]: Taking taylor expansion of 1.0 in n 6.512 * [backup-simplify]: Simplify 1.0 into 1.0 6.512 * [taylor]: Taking taylor expansion of (log n) in n 6.512 * [taylor]: Taking taylor expansion of n in n 6.512 * [backup-simplify]: Simplify 0 into 0 6.512 * [backup-simplify]: Simplify 1 into 1 6.512 * [backup-simplify]: Simplify (log 1) into 0 6.513 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.513 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.513 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 6.513 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.513 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.513 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.513 * [taylor]: Taking taylor expansion of 1.0 in n 6.513 * [backup-simplify]: Simplify 1.0 into 1.0 6.513 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.513 * [taylor]: Taking taylor expansion of 2.0 in n 6.513 * [backup-simplify]: Simplify 2.0 into 2.0 6.513 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.514 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 6.515 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 6.515 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 6.516 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 6.517 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 6.518 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 6.519 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 6.519 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.519 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.519 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 6.520 * [backup-simplify]: Simplify (* (pow (log n) 2) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) 6.521 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 6.521 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.522 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log n)) into (* (log (* 2.0 PI)) (log n)) 6.524 * [backup-simplify]: Simplify (* (* (log (* 2.0 PI)) (log n)) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) 6.525 * [backup-simplify]: Simplify (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) into (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) 6.527 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 6.529 * [backup-simplify]: Simplify (* (pow (log (* 2.0 PI)) 2) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 6.531 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 6.536 * [backup-simplify]: Simplify (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) into (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 6.544 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 6.550 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 6.565 * [backup-simplify]: Simplify (+ (* (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) (pow (* 1 k) 2)) (+ (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (* 1 k)) (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) 6.566 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0))) into (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) 6.566 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 6.566 * [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 6.566 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.566 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 6.566 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 6.566 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.566 * [taylor]: Taking taylor expansion of 0.5 in n 6.566 * [backup-simplify]: Simplify 0.5 into 0.5 6.566 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.566 * [taylor]: Taking taylor expansion of 1.0 in n 6.566 * [backup-simplify]: Simplify 1.0 into 1.0 6.566 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.566 * [taylor]: Taking taylor expansion of k in n 6.566 * [backup-simplify]: Simplify k into k 6.566 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.566 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 6.566 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.566 * [taylor]: Taking taylor expansion of n in n 6.566 * [backup-simplify]: Simplify 0 into 0 6.566 * [backup-simplify]: Simplify 1 into 1 6.567 * [backup-simplify]: Simplify (/ 1 1) into 1 6.567 * [backup-simplify]: Simplify (log 1) into 0 6.567 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.567 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.567 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 6.567 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.568 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 6.568 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 6.568 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.568 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 6.568 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 6.568 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.568 * [taylor]: Taking taylor expansion of 0.5 in n 6.568 * [backup-simplify]: Simplify 0.5 into 0.5 6.568 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.568 * [taylor]: Taking taylor expansion of 1.0 in n 6.568 * [backup-simplify]: Simplify 1.0 into 1.0 6.568 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.568 * [taylor]: Taking taylor expansion of k in n 6.568 * [backup-simplify]: Simplify k into k 6.568 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.568 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.568 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.568 * [taylor]: Taking taylor expansion of 2.0 in n 6.568 * [backup-simplify]: Simplify 2.0 into 2.0 6.568 * [taylor]: Taking taylor expansion of PI in n 6.568 * [backup-simplify]: Simplify PI into PI 6.568 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.569 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.569 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.569 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.569 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 6.570 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 6.571 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 6.571 * [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 6.571 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.571 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 6.571 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 6.571 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.571 * [taylor]: Taking taylor expansion of 0.5 in k 6.571 * [backup-simplify]: Simplify 0.5 into 0.5 6.571 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.571 * [taylor]: Taking taylor expansion of 1.0 in k 6.571 * [backup-simplify]: Simplify 1.0 into 1.0 6.571 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.571 * [taylor]: Taking taylor expansion of k in k 6.571 * [backup-simplify]: Simplify 0 into 0 6.571 * [backup-simplify]: Simplify 1 into 1 6.571 * [backup-simplify]: Simplify (/ 1 1) into 1 6.571 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 6.571 * [taylor]: Taking taylor expansion of (/ 1 n) in k 6.571 * [taylor]: Taking taylor expansion of n in k 6.571 * [backup-simplify]: Simplify n into n 6.571 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.571 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 6.572 * [backup-simplify]: Simplify (- 1) into -1 6.572 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.572 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.572 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 6.572 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 6.572 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.572 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 6.572 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 6.572 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.572 * [taylor]: Taking taylor expansion of 0.5 in k 6.572 * [backup-simplify]: Simplify 0.5 into 0.5 6.572 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.572 * [taylor]: Taking taylor expansion of 1.0 in k 6.572 * [backup-simplify]: Simplify 1.0 into 1.0 6.572 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.573 * [taylor]: Taking taylor expansion of k in k 6.573 * [backup-simplify]: Simplify 0 into 0 6.573 * [backup-simplify]: Simplify 1 into 1 6.573 * [backup-simplify]: Simplify (/ 1 1) into 1 6.573 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.573 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.573 * [taylor]: Taking taylor expansion of 2.0 in k 6.573 * [backup-simplify]: Simplify 2.0 into 2.0 6.573 * [taylor]: Taking taylor expansion of PI in k 6.573 * [backup-simplify]: Simplify PI into PI 6.573 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.574 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.574 * [backup-simplify]: Simplify (- 1) into -1 6.574 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.575 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.576 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 6.576 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 6.576 * [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 6.576 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.576 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 6.576 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 6.576 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.577 * [taylor]: Taking taylor expansion of 0.5 in k 6.577 * [backup-simplify]: Simplify 0.5 into 0.5 6.577 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.577 * [taylor]: Taking taylor expansion of 1.0 in k 6.577 * [backup-simplify]: Simplify 1.0 into 1.0 6.577 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.577 * [taylor]: Taking taylor expansion of k in k 6.577 * [backup-simplify]: Simplify 0 into 0 6.577 * [backup-simplify]: Simplify 1 into 1 6.577 * [backup-simplify]: Simplify (/ 1 1) into 1 6.577 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 6.577 * [taylor]: Taking taylor expansion of (/ 1 n) in k 6.577 * [taylor]: Taking taylor expansion of n in k 6.577 * [backup-simplify]: Simplify n into n 6.577 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.577 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 6.577 * [backup-simplify]: Simplify (- 1) into -1 6.578 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.578 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.578 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 6.578 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 6.578 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.578 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 6.578 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 6.578 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.578 * [taylor]: Taking taylor expansion of 0.5 in k 6.578 * [backup-simplify]: Simplify 0.5 into 0.5 6.578 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.578 * [taylor]: Taking taylor expansion of 1.0 in k 6.578 * [backup-simplify]: Simplify 1.0 into 1.0 6.578 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.578 * [taylor]: Taking taylor expansion of k in k 6.578 * [backup-simplify]: Simplify 0 into 0 6.578 * [backup-simplify]: Simplify 1 into 1 6.578 * [backup-simplify]: Simplify (/ 1 1) into 1 6.578 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.579 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.579 * [taylor]: Taking taylor expansion of 2.0 in k 6.579 * [backup-simplify]: Simplify 2.0 into 2.0 6.579 * [taylor]: Taking taylor expansion of PI in k 6.579 * [backup-simplify]: Simplify PI into PI 6.579 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.580 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.580 * [backup-simplify]: Simplify (- 1) into -1 6.580 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.581 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.583 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 6.584 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 6.585 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) 6.586 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 6.586 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 6.586 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 6.586 * [taylor]: Taking taylor expansion of 0.5 in n 6.586 * [backup-simplify]: Simplify 0.5 into 0.5 6.586 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 6.586 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 6.586 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.586 * [taylor]: Taking taylor expansion of n in n 6.586 * [backup-simplify]: Simplify 0 into 0 6.586 * [backup-simplify]: Simplify 1 into 1 6.586 * [backup-simplify]: Simplify (/ 1 1) into 1 6.587 * [backup-simplify]: Simplify (log 1) into 0 6.587 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.587 * [taylor]: Taking taylor expansion of 1.0 in n 6.587 * [backup-simplify]: Simplify 1.0 into 1.0 6.587 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.587 * [taylor]: Taking taylor expansion of k in n 6.587 * [backup-simplify]: Simplify k into k 6.587 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.587 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.588 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.588 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.588 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 6.588 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 6.588 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 6.588 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 6.588 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 6.588 * [taylor]: Taking taylor expansion of 0.5 in n 6.588 * [backup-simplify]: Simplify 0.5 into 0.5 6.589 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 6.589 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.589 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.589 * [taylor]: Taking taylor expansion of 2.0 in n 6.589 * [backup-simplify]: Simplify 2.0 into 2.0 6.589 * [taylor]: Taking taylor expansion of PI in n 6.589 * [backup-simplify]: Simplify PI into PI 6.589 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.590 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.590 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.590 * [taylor]: Taking taylor expansion of 1.0 in n 6.590 * [backup-simplify]: Simplify 1.0 into 1.0 6.590 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.590 * [taylor]: Taking taylor expansion of k in n 6.590 * [backup-simplify]: Simplify k into k 6.591 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.591 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.591 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.592 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 6.593 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 6.594 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 6.596 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) 6.597 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) 6.599 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 6.599 * [taylor]: Taking taylor expansion of 0 in n 6.599 * [backup-simplify]: Simplify 0 into 0 6.599 * [backup-simplify]: Simplify 0 into 0 6.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.600 * [backup-simplify]: Simplify (- 0) into 0 6.600 * [backup-simplify]: Simplify (+ 0 0) into 0 6.601 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.603 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.604 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 6.605 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into 0 6.607 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.608 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.608 * [backup-simplify]: Simplify (- 0) into 0 6.609 * [backup-simplify]: Simplify (+ 0 0) into 0 6.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.611 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.611 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 6.612 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 6.613 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.614 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 6.614 * [backup-simplify]: Simplify 0 into 0 6.616 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 6.616 * [taylor]: Taking taylor expansion of 0 in n 6.616 * [backup-simplify]: Simplify 0 into 0 6.616 * [backup-simplify]: Simplify 0 into 0 6.617 * [backup-simplify]: Simplify 0 into 0 6.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.617 * [backup-simplify]: Simplify (- 0) into 0 6.617 * [backup-simplify]: Simplify (+ 0 0) into 0 6.618 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.622 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 6.624 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 6.626 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 6.629 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.629 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.630 * [backup-simplify]: Simplify (- 0) into 0 6.630 * [backup-simplify]: Simplify (+ 0 0) into 0 6.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.634 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.635 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 6.636 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k))))))) into 0 6.637 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.639 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 6.639 * [backup-simplify]: Simplify 0 into 0 6.642 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into 0 6.642 * [taylor]: Taking taylor expansion of 0 in n 6.642 * [backup-simplify]: Simplify 0 into 0 6.642 * [backup-simplify]: Simplify 0 into 0 6.643 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k))))))) into (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) 6.644 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) 6.644 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 6.644 * [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 6.644 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.644 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 6.644 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 6.644 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.644 * [taylor]: Taking taylor expansion of 0.5 in n 6.644 * [backup-simplify]: Simplify 0.5 into 0.5 6.645 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.645 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.645 * [taylor]: Taking taylor expansion of k in n 6.645 * [backup-simplify]: Simplify k into k 6.645 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.645 * [taylor]: Taking taylor expansion of 1.0 in n 6.645 * [backup-simplify]: Simplify 1.0 into 1.0 6.645 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 6.645 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.645 * [taylor]: Taking taylor expansion of -1 in n 6.645 * [backup-simplify]: Simplify -1 into -1 6.645 * [taylor]: Taking taylor expansion of n in n 6.645 * [backup-simplify]: Simplify 0 into 0 6.645 * [backup-simplify]: Simplify 1 into 1 6.645 * [backup-simplify]: Simplify (/ -1 1) into -1 6.646 * [backup-simplify]: Simplify (log -1) into (log -1) 6.646 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.646 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.647 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.647 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 6.648 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 6.648 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.648 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 6.648 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 6.648 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.648 * [taylor]: Taking taylor expansion of 0.5 in n 6.648 * [backup-simplify]: Simplify 0.5 into 0.5 6.648 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.648 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.648 * [taylor]: Taking taylor expansion of k in n 6.648 * [backup-simplify]: Simplify k into k 6.648 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.649 * [taylor]: Taking taylor expansion of 1.0 in n 6.649 * [backup-simplify]: Simplify 1.0 into 1.0 6.649 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.649 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.649 * [taylor]: Taking taylor expansion of 2.0 in n 6.649 * [backup-simplify]: Simplify 2.0 into 2.0 6.649 * [taylor]: Taking taylor expansion of PI in n 6.649 * [backup-simplify]: Simplify PI into PI 6.649 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.650 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.650 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.651 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.652 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 6.653 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 6.653 * [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 6.653 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.653 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 6.653 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 6.653 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.653 * [taylor]: Taking taylor expansion of 0.5 in k 6.653 * [backup-simplify]: Simplify 0.5 into 0.5 6.653 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.653 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.653 * [taylor]: Taking taylor expansion of k in k 6.653 * [backup-simplify]: Simplify 0 into 0 6.653 * [backup-simplify]: Simplify 1 into 1 6.654 * [backup-simplify]: Simplify (/ 1 1) into 1 6.654 * [taylor]: Taking taylor expansion of 1.0 in k 6.654 * [backup-simplify]: Simplify 1.0 into 1.0 6.654 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 6.654 * [taylor]: Taking taylor expansion of (/ -1 n) in k 6.654 * [taylor]: Taking taylor expansion of -1 in k 6.654 * [backup-simplify]: Simplify -1 into -1 6.654 * [taylor]: Taking taylor expansion of n in k 6.654 * [backup-simplify]: Simplify n into n 6.654 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 6.654 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 6.655 * [backup-simplify]: Simplify (+ 1 0) into 1 6.655 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.655 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 6.655 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 6.655 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.656 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 6.656 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 6.656 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.656 * [taylor]: Taking taylor expansion of 0.5 in k 6.656 * [backup-simplify]: Simplify 0.5 into 0.5 6.656 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.656 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.656 * [taylor]: Taking taylor expansion of k in k 6.656 * [backup-simplify]: Simplify 0 into 0 6.656 * [backup-simplify]: Simplify 1 into 1 6.656 * [backup-simplify]: Simplify (/ 1 1) into 1 6.656 * [taylor]: Taking taylor expansion of 1.0 in k 6.656 * [backup-simplify]: Simplify 1.0 into 1.0 6.656 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.656 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.656 * [taylor]: Taking taylor expansion of 2.0 in k 6.656 * [backup-simplify]: Simplify 2.0 into 2.0 6.656 * [taylor]: Taking taylor expansion of PI in k 6.656 * [backup-simplify]: Simplify PI into PI 6.657 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.658 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.658 * [backup-simplify]: Simplify (+ 1 0) into 1 6.659 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.661 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 6.662 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 6.662 * [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 6.662 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.662 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 6.662 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 6.662 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.662 * [taylor]: Taking taylor expansion of 0.5 in k 6.662 * [backup-simplify]: Simplify 0.5 into 0.5 6.662 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.662 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.662 * [taylor]: Taking taylor expansion of k in k 6.662 * [backup-simplify]: Simplify 0 into 0 6.662 * [backup-simplify]: Simplify 1 into 1 6.663 * [backup-simplify]: Simplify (/ 1 1) into 1 6.663 * [taylor]: Taking taylor expansion of 1.0 in k 6.663 * [backup-simplify]: Simplify 1.0 into 1.0 6.663 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 6.663 * [taylor]: Taking taylor expansion of (/ -1 n) in k 6.663 * [taylor]: Taking taylor expansion of -1 in k 6.663 * [backup-simplify]: Simplify -1 into -1 6.663 * [taylor]: Taking taylor expansion of n in k 6.663 * [backup-simplify]: Simplify n into n 6.663 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 6.663 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 6.664 * [backup-simplify]: Simplify (+ 1 0) into 1 6.664 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.664 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 6.664 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 6.664 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.665 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 6.665 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 6.665 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.665 * [taylor]: Taking taylor expansion of 0.5 in k 6.665 * [backup-simplify]: Simplify 0.5 into 0.5 6.665 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.665 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.665 * [taylor]: Taking taylor expansion of k in k 6.665 * [backup-simplify]: Simplify 0 into 0 6.665 * [backup-simplify]: Simplify 1 into 1 6.665 * [backup-simplify]: Simplify (/ 1 1) into 1 6.665 * [taylor]: Taking taylor expansion of 1.0 in k 6.665 * [backup-simplify]: Simplify 1.0 into 1.0 6.665 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.665 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.665 * [taylor]: Taking taylor expansion of 2.0 in k 6.665 * [backup-simplify]: Simplify 2.0 into 2.0 6.665 * [taylor]: Taking taylor expansion of PI in k 6.665 * [backup-simplify]: Simplify PI into PI 6.666 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.667 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.667 * [backup-simplify]: Simplify (+ 1 0) into 1 6.668 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.670 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 6.671 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 6.672 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 6.672 * [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 6.672 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 6.672 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 6.673 * [taylor]: Taking taylor expansion of 0.5 in n 6.673 * [backup-simplify]: Simplify 0.5 into 0.5 6.673 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 6.673 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.673 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.673 * [taylor]: Taking taylor expansion of k in n 6.673 * [backup-simplify]: Simplify k into k 6.673 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.673 * [taylor]: Taking taylor expansion of 1.0 in n 6.673 * [backup-simplify]: Simplify 1.0 into 1.0 6.673 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 6.673 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.673 * [taylor]: Taking taylor expansion of -1 in n 6.673 * [backup-simplify]: Simplify -1 into -1 6.673 * [taylor]: Taking taylor expansion of n in n 6.673 * [backup-simplify]: Simplify 0 into 0 6.673 * [backup-simplify]: Simplify 1 into 1 6.673 * [backup-simplify]: Simplify (/ -1 1) into -1 6.674 * [backup-simplify]: Simplify (log -1) into (log -1) 6.674 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.675 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.676 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 6.676 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 6.677 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 6.677 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 6.677 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 6.677 * [taylor]: Taking taylor expansion of 0.5 in n 6.677 * [backup-simplify]: Simplify 0.5 into 0.5 6.677 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 6.677 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.677 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.677 * [taylor]: Taking taylor expansion of 2.0 in n 6.677 * [backup-simplify]: Simplify 2.0 into 2.0 6.677 * [taylor]: Taking taylor expansion of PI in n 6.677 * [backup-simplify]: Simplify PI into PI 6.678 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.679 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.679 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.679 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.679 * [taylor]: Taking taylor expansion of k in n 6.679 * [backup-simplify]: Simplify k into k 6.679 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.679 * [taylor]: Taking taylor expansion of 1.0 in n 6.679 * [backup-simplify]: Simplify 1.0 into 1.0 6.679 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.680 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 6.681 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 6.683 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 6.684 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 6.686 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 6.688 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 6.688 * [taylor]: Taking taylor expansion of 0 in n 6.688 * [backup-simplify]: Simplify 0 into 0 6.688 * [backup-simplify]: Simplify 0 into 0 6.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.689 * [backup-simplify]: Simplify (+ 0 0) into 0 6.689 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.691 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.692 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 6.694 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into 0 6.696 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.698 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 6.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.699 * [backup-simplify]: Simplify (+ 0 0) into 0 6.700 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.700 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 6.701 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 6.711 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.714 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 6.714 * [backup-simplify]: Simplify 0 into 0 6.716 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 6.716 * [taylor]: Taking taylor expansion of 0 in n 6.716 * [backup-simplify]: Simplify 0 into 0 6.716 * [backup-simplify]: Simplify 0 into 0 6.716 * [backup-simplify]: Simplify 0 into 0 6.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.716 * [backup-simplify]: Simplify (+ 0 0) into 0 6.718 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.721 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 6.723 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 6.725 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into 0 6.728 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.731 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 6.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.732 * [backup-simplify]: Simplify (+ 0 0) into 0 6.732 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.733 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 6.734 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into 0 6.735 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.736 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 6.736 * [backup-simplify]: Simplify 0 into 0 6.738 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into 0 6.738 * [taylor]: Taking taylor expansion of 0 in n 6.738 * [backup-simplify]: Simplify 0 into 0 6.738 * [backup-simplify]: Simplify 0 into 0 6.739 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))) into (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) 6.739 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 6.739 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 6.739 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 6.739 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.739 * [taylor]: Taking taylor expansion of 1.0 in k 6.739 * [backup-simplify]: Simplify 1.0 into 1.0 6.739 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.739 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.739 * [taylor]: Taking taylor expansion of k in k 6.739 * [backup-simplify]: Simplify 0 into 0 6.739 * [backup-simplify]: Simplify 1 into 1 6.739 * [backup-simplify]: Simplify (/ 1 1) into 1 6.740 * [backup-simplify]: Simplify (sqrt 0) into 0 6.740 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.740 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.741 * [taylor]: Taking taylor expansion of 1.0 in k 6.741 * [backup-simplify]: Simplify 1.0 into 1.0 6.741 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.741 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.741 * [taylor]: Taking taylor expansion of k in k 6.741 * [backup-simplify]: Simplify 0 into 0 6.741 * [backup-simplify]: Simplify 1 into 1 6.741 * [backup-simplify]: Simplify (/ 1 1) into 1 6.741 * [backup-simplify]: Simplify (sqrt 0) into 0 6.742 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.742 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.742 * [backup-simplify]: Simplify 0 into 0 6.743 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 6.743 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.745 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.747 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 6.747 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.750 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.751 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.751 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.752 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 6.752 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 6.752 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 6.752 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.752 * [taylor]: Taking taylor expansion of 1.0 in k 6.752 * [backup-simplify]: Simplify 1.0 into 1.0 6.752 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.752 * [taylor]: Taking taylor expansion of k in k 6.752 * [backup-simplify]: Simplify 0 into 0 6.752 * [backup-simplify]: Simplify 1 into 1 6.752 * [backup-simplify]: Simplify (sqrt 0) into 0 6.753 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.753 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.753 * [taylor]: Taking taylor expansion of 1.0 in k 6.753 * [backup-simplify]: Simplify 1.0 into 1.0 6.753 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.753 * [taylor]: Taking taylor expansion of k in k 6.753 * [backup-simplify]: Simplify 0 into 0 6.753 * [backup-simplify]: Simplify 1 into 1 6.754 * [backup-simplify]: Simplify (sqrt 0) into 0 6.754 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.755 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.755 * [backup-simplify]: Simplify 0 into 0 6.756 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 6.756 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.758 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.759 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 6.759 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.762 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.763 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.764 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 6.764 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 6.764 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 6.764 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.764 * [taylor]: Taking taylor expansion of 1.0 in k 6.764 * [backup-simplify]: Simplify 1.0 into 1.0 6.764 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.764 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.764 * [taylor]: Taking taylor expansion of -1 in k 6.764 * [backup-simplify]: Simplify -1 into -1 6.764 * [taylor]: Taking taylor expansion of k in k 6.764 * [backup-simplify]: Simplify 0 into 0 6.764 * [backup-simplify]: Simplify 1 into 1 6.765 * [backup-simplify]: Simplify (/ -1 1) into -1 6.765 * [backup-simplify]: Simplify (sqrt 0) into 0 6.766 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.767 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 6.767 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.767 * [taylor]: Taking taylor expansion of 1.0 in k 6.767 * [backup-simplify]: Simplify 1.0 into 1.0 6.767 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.767 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.767 * [taylor]: Taking taylor expansion of -1 in k 6.767 * [backup-simplify]: Simplify -1 into -1 6.767 * [taylor]: Taking taylor expansion of k in k 6.767 * [backup-simplify]: Simplify 0 into 0 6.767 * [backup-simplify]: Simplify 1 into 1 6.768 * [backup-simplify]: Simplify (/ -1 1) into -1 6.768 * [backup-simplify]: Simplify (sqrt 0) into 0 6.769 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.770 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 6.770 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.774 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.776 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 6.776 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.779 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.781 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 6.781 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.782 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 6.782 * * * [progress]: simplifying candidates 6.785 * [simplify]: Simplifying: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (log1p (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* 2.0 PI) n) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 1) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 6.790 * * [simplify]: Extracting # 0 : cost 0 6.790 * * [simplify]: Extracting # 1 : cost 0 6.790 * * [simplify]: Extracting # 2 : cost 0 6.791 * * [simplify]: Extracting # 3 : cost 0 6.791 * * [simplify]: Extracting # 4 : cost 0 6.792 * * [simplify]: Extracting # 5 : cost 0 6.792 * * [simplify]: Extracting # 6 : cost 0 6.793 * * [simplify]: Extracting # 7 : cost 0 6.793 * * [simplify]: Extracting # 8 : cost 0 6.794 * * [simplify]: Extracting # 9 : cost 0 6.794 * * [simplify]: Extracting # 10 : cost 0 6.795 * * [simplify]: Extracting # 11 : cost 0 6.795 * * [simplify]: Extracting # 12 : cost 0 6.796 * * [simplify]: Extracting # 13 : cost 0 6.797 * * [simplify]: Extracting # 14 : cost 0 6.798 * * [simplify]: Extracting # 15 : cost 0 6.799 * * [simplify]: Extracting # 16 : cost 0 6.800 * * [simplify]: Extracting # 17 : cost 0 6.800 * * [simplify]: Extracting # 18 : cost 0 6.801 * * [simplify]: iteration 0 : 324 enodes (cost 2568 ) 6.970 * * [simplify]: Extracting # 0 : cost 0 6.971 * * [simplify]: Extracting # 1 : cost 0 6.972 * * [simplify]: Extracting # 2 : cost 0 6.974 * * [simplify]: Extracting # 3 : cost 0 6.975 * * [simplify]: Extracting # 4 : cost 0 6.976 * * [simplify]: iteration 1 : 882 enodes (cost 2345 ) 7.525 * * [simplify]: Extracting # 0 : cost 0 7.530 * * [simplify]: Extracting # 1 : cost 0 7.535 * * [simplify]: Extracting # 2 : cost 0 7.540 * * [simplify]: Extracting # 3 : cost 0 7.546 * * [simplify]: Extracting # 4 : cost 0 7.551 * * [simplify]: iteration 2 : 3444 enodes (cost 2252 ) 9.029 * * [simplify]: Extracting # 0 : cost 0 9.055 * * [simplify]: Extracting # 1 : cost 0 9.066 * * [simplify]: Extracting # 2 : cost 0 9.073 * * [simplify]: Extracting # 3 : cost 0 9.080 * * [simplify]: Extracting # 4 : cost 0 9.088 * * [simplify]: iteration done: 5002 enodes (cost 2234 ) 9.091 * [simplify]: Simplified to: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (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))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (* 2.0 PI) (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 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (log1p (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* 2.0 PI) n) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow n (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow n (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow n (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow n (/ 1.0 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) k)) (* (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))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (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) (- (fma 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5)) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (exp (- 1.0 k)) (* (+ 0 (log n)) 0.5)) (- (fma 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (fma (- 0.5) (* k (fma (log n) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (fma 0.125 (fma (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow k 2)) (pow (log n) 2) (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (fma 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) (pow (exp (* 0.5 (- 1.0 k))) (+ (+ 0 (log n)) (log (* 2.0 PI)))) (fma k (- +nan.0) (fma +nan.0 (pow k 2) (- +nan.0))) (- (+ (- (/ +nan.0 (pow k 2)) (/ +nan.0 k)) (/ +nan.0 (pow k 3)))) (+ (- (/ +nan.0 k) +nan.0) (- (/ +nan.0 (pow k 2)))) 9.092 * * * [progress]: adding candidates to table 9.990 * * [progress]: iteration 3 / 4 9.990 * * * [progress]: picking best candidate 10.021 * * * * [pick]: Picked # 10.021 * * * [progress]: localizing error 10.049 * * * [progress]: generating rewritten candidates 10.050 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 10.065 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 10.076 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 10.136 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 10.155 * * * [progress]: generating series expansions 10.155 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 10.156 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 10.156 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 10.156 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 10.156 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 10.156 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 10.156 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.156 * [taylor]: Taking taylor expansion of 0.5 in k 10.156 * [backup-simplify]: Simplify 0.5 into 0.5 10.156 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.156 * [taylor]: Taking taylor expansion of 1.0 in k 10.156 * [backup-simplify]: Simplify 1.0 into 1.0 10.156 * [taylor]: Taking taylor expansion of k in k 10.156 * [backup-simplify]: Simplify 0 into 0 10.156 * [backup-simplify]: Simplify 1 into 1 10.156 * [taylor]: Taking taylor expansion of (log n) in k 10.156 * [taylor]: Taking taylor expansion of n in k 10.156 * [backup-simplify]: Simplify n into n 10.156 * [backup-simplify]: Simplify (log n) into (log n) 10.156 * [backup-simplify]: Simplify (- 0) into 0 10.157 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.157 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.157 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 10.157 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 10.157 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 10.157 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 10.157 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 10.157 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 10.157 * [taylor]: Taking taylor expansion of 0.5 in n 10.157 * [backup-simplify]: Simplify 0.5 into 0.5 10.157 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 10.157 * [taylor]: Taking taylor expansion of 1.0 in n 10.157 * [backup-simplify]: Simplify 1.0 into 1.0 10.157 * [taylor]: Taking taylor expansion of k in n 10.157 * [backup-simplify]: Simplify k into k 10.158 * [taylor]: Taking taylor expansion of (log n) in n 10.158 * [taylor]: Taking taylor expansion of n in n 10.158 * [backup-simplify]: Simplify 0 into 0 10.158 * [backup-simplify]: Simplify 1 into 1 10.158 * [backup-simplify]: Simplify (log 1) into 0 10.158 * [backup-simplify]: Simplify (- k) into (- k) 10.158 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 10.158 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 10.158 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.158 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 10.159 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 10.159 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 10.159 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 10.159 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 10.159 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 10.159 * [taylor]: Taking taylor expansion of 0.5 in n 10.159 * [backup-simplify]: Simplify 0.5 into 0.5 10.159 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 10.159 * [taylor]: Taking taylor expansion of 1.0 in n 10.159 * [backup-simplify]: Simplify 1.0 into 1.0 10.159 * [taylor]: Taking taylor expansion of k in n 10.159 * [backup-simplify]: Simplify k into k 10.159 * [taylor]: Taking taylor expansion of (log n) in n 10.159 * [taylor]: Taking taylor expansion of n in n 10.159 * [backup-simplify]: Simplify 0 into 0 10.159 * [backup-simplify]: Simplify 1 into 1 10.159 * [backup-simplify]: Simplify (log 1) into 0 10.159 * [backup-simplify]: Simplify (- k) into (- k) 10.159 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 10.159 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 10.159 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.160 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 10.160 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 10.160 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 10.160 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 10.160 * [taylor]: Taking taylor expansion of 0.5 in k 10.160 * [backup-simplify]: Simplify 0.5 into 0.5 10.160 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 10.160 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.160 * [taylor]: Taking taylor expansion of 1.0 in k 10.160 * [backup-simplify]: Simplify 1.0 into 1.0 10.160 * [taylor]: Taking taylor expansion of k in k 10.160 * [backup-simplify]: Simplify 0 into 0 10.160 * [backup-simplify]: Simplify 1 into 1 10.160 * [taylor]: Taking taylor expansion of (log n) in k 10.160 * [taylor]: Taking taylor expansion of n in k 10.160 * [backup-simplify]: Simplify n into n 10.160 * [backup-simplify]: Simplify (log n) into (log n) 10.160 * [backup-simplify]: Simplify (- 0) into 0 10.161 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.161 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.161 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 10.161 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 10.161 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 10.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.162 * [backup-simplify]: Simplify (- 0) into 0 10.163 * [backup-simplify]: Simplify (+ 0 0) into 0 10.163 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 10.163 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.163 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 10.164 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.164 * [taylor]: Taking taylor expansion of 0 in k 10.164 * [backup-simplify]: Simplify 0 into 0 10.164 * [backup-simplify]: Simplify 0 into 0 10.165 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 10.165 * [backup-simplify]: Simplify (- 1) into -1 10.165 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.166 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 10.166 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 10.166 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 10.166 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 10.168 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.168 * [backup-simplify]: Simplify (- 0) into 0 10.174 * [backup-simplify]: Simplify (+ 0 0) into 0 10.174 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 10.175 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.175 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 10.176 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.176 * [taylor]: Taking taylor expansion of 0 in k 10.176 * [backup-simplify]: Simplify 0 into 0 10.176 * [backup-simplify]: Simplify 0 into 0 10.176 * [backup-simplify]: Simplify 0 into 0 10.177 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 10.177 * [backup-simplify]: Simplify (- 0) into 0 10.178 * [backup-simplify]: Simplify (+ 0 0) into 0 10.178 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 10.179 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 10.179 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 10.180 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 10.180 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 10.181 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 10.181 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 10.181 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 10.181 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 10.181 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 10.181 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.181 * [taylor]: Taking taylor expansion of 0.5 in k 10.181 * [backup-simplify]: Simplify 0.5 into 0.5 10.181 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.181 * [taylor]: Taking taylor expansion of 1.0 in k 10.181 * [backup-simplify]: Simplify 1.0 into 1.0 10.181 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.181 * [taylor]: Taking taylor expansion of k in k 10.181 * [backup-simplify]: Simplify 0 into 0 10.181 * [backup-simplify]: Simplify 1 into 1 10.181 * [backup-simplify]: Simplify (/ 1 1) into 1 10.181 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 10.181 * [taylor]: Taking taylor expansion of (/ 1 n) in k 10.181 * [taylor]: Taking taylor expansion of n in k 10.181 * [backup-simplify]: Simplify n into n 10.181 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.181 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 10.182 * [backup-simplify]: Simplify (- 1) into -1 10.182 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.182 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.182 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 10.182 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 10.182 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 10.182 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 10.182 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 10.182 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 10.182 * [taylor]: Taking taylor expansion of 0.5 in n 10.182 * [backup-simplify]: Simplify 0.5 into 0.5 10.182 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.182 * [taylor]: Taking taylor expansion of 1.0 in n 10.182 * [backup-simplify]: Simplify 1.0 into 1.0 10.183 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.183 * [taylor]: Taking taylor expansion of k in n 10.183 * [backup-simplify]: Simplify k into k 10.183 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.183 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 10.183 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.183 * [taylor]: Taking taylor expansion of n in n 10.183 * [backup-simplify]: Simplify 0 into 0 10.183 * [backup-simplify]: Simplify 1 into 1 10.183 * [backup-simplify]: Simplify (/ 1 1) into 1 10.183 * [backup-simplify]: Simplify (log 1) into 0 10.183 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.183 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.183 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 10.184 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.184 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 10.184 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 10.184 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 10.184 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 10.184 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 10.184 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 10.184 * [taylor]: Taking taylor expansion of 0.5 in n 10.184 * [backup-simplify]: Simplify 0.5 into 0.5 10.184 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.184 * [taylor]: Taking taylor expansion of 1.0 in n 10.184 * [backup-simplify]: Simplify 1.0 into 1.0 10.184 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.184 * [taylor]: Taking taylor expansion of k in n 10.184 * [backup-simplify]: Simplify k into k 10.184 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.184 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 10.184 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.184 * [taylor]: Taking taylor expansion of n in n 10.184 * [backup-simplify]: Simplify 0 into 0 10.184 * [backup-simplify]: Simplify 1 into 1 10.185 * [backup-simplify]: Simplify (/ 1 1) into 1 10.186 * [backup-simplify]: Simplify (log 1) into 0 10.186 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.187 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.187 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 10.187 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.187 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 10.188 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 10.188 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 10.188 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 10.188 * [taylor]: Taking taylor expansion of -0.5 in k 10.188 * [backup-simplify]: Simplify -0.5 into -0.5 10.188 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 10.188 * [taylor]: Taking taylor expansion of (log n) in k 10.188 * [taylor]: Taking taylor expansion of n in k 10.188 * [backup-simplify]: Simplify n into n 10.188 * [backup-simplify]: Simplify (log n) into (log n) 10.188 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.188 * [taylor]: Taking taylor expansion of 1.0 in k 10.188 * [backup-simplify]: Simplify 1.0 into 1.0 10.188 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.188 * [taylor]: Taking taylor expansion of k in k 10.188 * [backup-simplify]: Simplify 0 into 0 10.188 * [backup-simplify]: Simplify 1 into 1 10.188 * [backup-simplify]: Simplify (/ 1 1) into 1 10.189 * [backup-simplify]: Simplify (- 1) into -1 10.189 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.189 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 10.189 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 10.189 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 10.189 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 10.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.191 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.191 * [backup-simplify]: Simplify (- 0) into 0 10.191 * [backup-simplify]: Simplify (+ 0 0) into 0 10.192 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 10.192 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.192 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 10.193 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.193 * [taylor]: Taking taylor expansion of 0 in k 10.193 * [backup-simplify]: Simplify 0 into 0 10.193 * [backup-simplify]: Simplify 0 into 0 10.193 * [backup-simplify]: Simplify 0 into 0 10.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.195 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.195 * [backup-simplify]: Simplify (- 0) into 0 10.196 * [backup-simplify]: Simplify (+ 0 0) into 0 10.196 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 10.196 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.197 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 10.198 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.198 * [taylor]: Taking taylor expansion of 0 in k 10.198 * [backup-simplify]: Simplify 0 into 0 10.198 * [backup-simplify]: Simplify 0 into 0 10.198 * [backup-simplify]: Simplify 0 into 0 10.198 * [backup-simplify]: Simplify 0 into 0 10.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.201 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 10.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.202 * [backup-simplify]: Simplify (- 0) into 0 10.202 * [backup-simplify]: Simplify (+ 0 0) into 0 10.203 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 10.203 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.203 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 10.204 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.204 * [taylor]: Taking taylor expansion of 0 in k 10.204 * [backup-simplify]: Simplify 0 into 0 10.205 * [backup-simplify]: Simplify 0 into 0 10.205 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 10.205 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 10.205 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 10.205 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 10.205 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 10.205 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 10.205 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.205 * [taylor]: Taking taylor expansion of 0.5 in k 10.205 * [backup-simplify]: Simplify 0.5 into 0.5 10.205 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.205 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.205 * [taylor]: Taking taylor expansion of k in k 10.205 * [backup-simplify]: Simplify 0 into 0 10.205 * [backup-simplify]: Simplify 1 into 1 10.205 * [backup-simplify]: Simplify (/ 1 1) into 1 10.205 * [taylor]: Taking taylor expansion of 1.0 in k 10.205 * [backup-simplify]: Simplify 1.0 into 1.0 10.205 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 10.205 * [taylor]: Taking taylor expansion of (/ -1 n) in k 10.205 * [taylor]: Taking taylor expansion of -1 in k 10.205 * [backup-simplify]: Simplify -1 into -1 10.205 * [taylor]: Taking taylor expansion of n in k 10.206 * [backup-simplify]: Simplify n into n 10.206 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 10.206 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 10.206 * [backup-simplify]: Simplify (+ 1 0) into 1 10.206 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.206 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 10.206 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 10.206 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 10.206 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 10.206 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 10.206 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 10.206 * [taylor]: Taking taylor expansion of 0.5 in n 10.206 * [backup-simplify]: Simplify 0.5 into 0.5 10.207 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.207 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.207 * [taylor]: Taking taylor expansion of k in n 10.207 * [backup-simplify]: Simplify k into k 10.207 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.207 * [taylor]: Taking taylor expansion of 1.0 in n 10.207 * [backup-simplify]: Simplify 1.0 into 1.0 10.207 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 10.207 * [taylor]: Taking taylor expansion of (/ -1 n) in n 10.207 * [taylor]: Taking taylor expansion of -1 in n 10.207 * [backup-simplify]: Simplify -1 into -1 10.207 * [taylor]: Taking taylor expansion of n in n 10.207 * [backup-simplify]: Simplify 0 into 0 10.207 * [backup-simplify]: Simplify 1 into 1 10.207 * [backup-simplify]: Simplify (/ -1 1) into -1 10.207 * [backup-simplify]: Simplify (log -1) into (log -1) 10.207 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.207 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 10.208 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.208 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 10.209 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 10.209 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 10.209 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 10.209 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 10.209 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 10.209 * [taylor]: Taking taylor expansion of 0.5 in n 10.209 * [backup-simplify]: Simplify 0.5 into 0.5 10.209 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.209 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.209 * [taylor]: Taking taylor expansion of k in n 10.209 * [backup-simplify]: Simplify k into k 10.209 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.209 * [taylor]: Taking taylor expansion of 1.0 in n 10.209 * [backup-simplify]: Simplify 1.0 into 1.0 10.209 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 10.209 * [taylor]: Taking taylor expansion of (/ -1 n) in n 10.209 * [taylor]: Taking taylor expansion of -1 in n 10.209 * [backup-simplify]: Simplify -1 into -1 10.209 * [taylor]: Taking taylor expansion of n in n 10.209 * [backup-simplify]: Simplify 0 into 0 10.209 * [backup-simplify]: Simplify 1 into 1 10.209 * [backup-simplify]: Simplify (/ -1 1) into -1 10.210 * [backup-simplify]: Simplify (log -1) into (log -1) 10.210 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.210 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 10.210 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.211 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 10.211 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 10.211 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 10.211 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 10.211 * [taylor]: Taking taylor expansion of 0.5 in k 10.211 * [backup-simplify]: Simplify 0.5 into 0.5 10.211 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 10.211 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 10.211 * [taylor]: Taking taylor expansion of (log -1) in k 10.211 * [taylor]: Taking taylor expansion of -1 in k 10.211 * [backup-simplify]: Simplify -1 into -1 10.212 * [backup-simplify]: Simplify (log -1) into (log -1) 10.212 * [taylor]: Taking taylor expansion of (log n) in k 10.212 * [taylor]: Taking taylor expansion of n in k 10.212 * [backup-simplify]: Simplify n into n 10.212 * [backup-simplify]: Simplify (log n) into (log n) 10.212 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.212 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.212 * [taylor]: Taking taylor expansion of k in k 10.212 * [backup-simplify]: Simplify 0 into 0 10.212 * [backup-simplify]: Simplify 1 into 1 10.212 * [backup-simplify]: Simplify (/ 1 1) into 1 10.212 * [taylor]: Taking taylor expansion of 1.0 in k 10.212 * [backup-simplify]: Simplify 1.0 into 1.0 10.212 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 10.212 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 10.213 * [backup-simplify]: Simplify (+ 1 0) into 1 10.213 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 10.213 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 10.213 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 10.214 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 10.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 10.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.216 * [backup-simplify]: Simplify (+ 0 0) into 0 10.217 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 10.218 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.218 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 10.219 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.220 * [taylor]: Taking taylor expansion of 0 in k 10.220 * [backup-simplify]: Simplify 0 into 0 10.220 * [backup-simplify]: Simplify 0 into 0 10.220 * [backup-simplify]: Simplify 0 into 0 10.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.224 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 10.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.224 * [backup-simplify]: Simplify (+ 0 0) into 0 10.225 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 10.226 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.227 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 10.229 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.229 * [taylor]: Taking taylor expansion of 0 in k 10.229 * [backup-simplify]: Simplify 0 into 0 10.229 * [backup-simplify]: Simplify 0 into 0 10.229 * [backup-simplify]: Simplify 0 into 0 10.229 * [backup-simplify]: Simplify 0 into 0 10.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.236 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 10.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.236 * [backup-simplify]: Simplify (+ 0 0) into 0 10.237 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 10.238 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.238 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 10.240 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.240 * [taylor]: Taking taylor expansion of 0 in k 10.240 * [backup-simplify]: Simplify 0 into 0 10.240 * [backup-simplify]: Simplify 0 into 0 10.240 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 10.240 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 10.240 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 10.240 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 10.240 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 10.240 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 10.240 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 10.240 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.240 * [taylor]: Taking taylor expansion of 0.5 in k 10.240 * [backup-simplify]: Simplify 0.5 into 0.5 10.240 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.240 * [taylor]: Taking taylor expansion of 1.0 in k 10.241 * [backup-simplify]: Simplify 1.0 into 1.0 10.241 * [taylor]: Taking taylor expansion of k in k 10.241 * [backup-simplify]: Simplify 0 into 0 10.241 * [backup-simplify]: Simplify 1 into 1 10.241 * [taylor]: Taking taylor expansion of (log PI) in k 10.241 * [taylor]: Taking taylor expansion of PI in k 10.241 * [backup-simplify]: Simplify PI into PI 10.241 * [backup-simplify]: Simplify (log PI) into (log PI) 10.241 * [backup-simplify]: Simplify (- 0) into 0 10.241 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.242 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.242 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 10.243 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 10.243 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 10.243 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 10.243 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 10.243 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.243 * [taylor]: Taking taylor expansion of 0.5 in k 10.243 * [backup-simplify]: Simplify 0.5 into 0.5 10.243 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.243 * [taylor]: Taking taylor expansion of 1.0 in k 10.243 * [backup-simplify]: Simplify 1.0 into 1.0 10.244 * [taylor]: Taking taylor expansion of k in k 10.244 * [backup-simplify]: Simplify 0 into 0 10.244 * [backup-simplify]: Simplify 1 into 1 10.244 * [taylor]: Taking taylor expansion of (log PI) in k 10.244 * [taylor]: Taking taylor expansion of PI in k 10.244 * [backup-simplify]: Simplify PI into PI 10.244 * [backup-simplify]: Simplify (log PI) into (log PI) 10.244 * [backup-simplify]: Simplify (- 0) into 0 10.244 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.245 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.245 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 10.246 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 10.247 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 10.248 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 10.248 * [backup-simplify]: Simplify (- 1) into -1 10.248 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.249 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 10.251 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 10.257 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 10.259 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 10.261 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 10.261 * [backup-simplify]: Simplify (- 0) into 0 10.261 * [backup-simplify]: Simplify (+ 0 0) into 0 10.262 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 10.262 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 10.270 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 10.275 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 10.289 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) k) (pow PI 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) 10.290 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 10.290 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 10.290 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 10.290 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 10.290 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 10.290 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.290 * [taylor]: Taking taylor expansion of 0.5 in k 10.290 * [backup-simplify]: Simplify 0.5 into 0.5 10.290 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.290 * [taylor]: Taking taylor expansion of 1.0 in k 10.290 * [backup-simplify]: Simplify 1.0 into 1.0 10.290 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.290 * [taylor]: Taking taylor expansion of k in k 10.290 * [backup-simplify]: Simplify 0 into 0 10.290 * [backup-simplify]: Simplify 1 into 1 10.290 * [backup-simplify]: Simplify (/ 1 1) into 1 10.290 * [taylor]: Taking taylor expansion of (log PI) in k 10.290 * [taylor]: Taking taylor expansion of PI in k 10.290 * [backup-simplify]: Simplify PI into PI 10.291 * [backup-simplify]: Simplify (log PI) into (log PI) 10.291 * [backup-simplify]: Simplify (- 1) into -1 10.291 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.291 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.292 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 10.292 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 10.292 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 10.292 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 10.292 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 10.292 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.292 * [taylor]: Taking taylor expansion of 0.5 in k 10.292 * [backup-simplify]: Simplify 0.5 into 0.5 10.292 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.292 * [taylor]: Taking taylor expansion of 1.0 in k 10.292 * [backup-simplify]: Simplify 1.0 into 1.0 10.292 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.292 * [taylor]: Taking taylor expansion of k in k 10.293 * [backup-simplify]: Simplify 0 into 0 10.293 * [backup-simplify]: Simplify 1 into 1 10.293 * [backup-simplify]: Simplify (/ 1 1) into 1 10.293 * [taylor]: Taking taylor expansion of (log PI) in k 10.293 * [taylor]: Taking taylor expansion of PI in k 10.293 * [backup-simplify]: Simplify PI into PI 10.293 * [backup-simplify]: Simplify (log PI) into (log PI) 10.293 * [backup-simplify]: Simplify (- 1) into -1 10.294 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.294 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.295 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 10.295 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 10.296 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 10.296 * [backup-simplify]: Simplify 0 into 0 10.296 * [backup-simplify]: Simplify 0 into 0 10.296 * [backup-simplify]: Simplify 0 into 0 10.296 * [backup-simplify]: Simplify 0 into 0 10.296 * [backup-simplify]: Simplify 0 into 0 10.296 * [backup-simplify]: Simplify 0 into 0 10.296 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 10.296 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 10.296 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 10.296 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 10.296 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 10.296 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 10.296 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.296 * [taylor]: Taking taylor expansion of 0.5 in k 10.296 * [backup-simplify]: Simplify 0.5 into 0.5 10.296 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.296 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.296 * [taylor]: Taking taylor expansion of k in k 10.297 * [backup-simplify]: Simplify 0 into 0 10.297 * [backup-simplify]: Simplify 1 into 1 10.297 * [backup-simplify]: Simplify (/ 1 1) into 1 10.297 * [taylor]: Taking taylor expansion of 1.0 in k 10.297 * [backup-simplify]: Simplify 1.0 into 1.0 10.297 * [taylor]: Taking taylor expansion of (log PI) in k 10.297 * [taylor]: Taking taylor expansion of PI in k 10.297 * [backup-simplify]: Simplify PI into PI 10.297 * [backup-simplify]: Simplify (log PI) into (log PI) 10.297 * [backup-simplify]: Simplify (+ 1 0) into 1 10.298 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.298 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 10.299 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 10.299 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 10.299 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 10.299 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 10.299 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.299 * [taylor]: Taking taylor expansion of 0.5 in k 10.299 * [backup-simplify]: Simplify 0.5 into 0.5 10.299 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.299 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.299 * [taylor]: Taking taylor expansion of k in k 10.299 * [backup-simplify]: Simplify 0 into 0 10.299 * [backup-simplify]: Simplify 1 into 1 10.299 * [backup-simplify]: Simplify (/ 1 1) into 1 10.299 * [taylor]: Taking taylor expansion of 1.0 in k 10.299 * [backup-simplify]: Simplify 1.0 into 1.0 10.299 * [taylor]: Taking taylor expansion of (log PI) in k 10.299 * [taylor]: Taking taylor expansion of PI in k 10.299 * [backup-simplify]: Simplify PI into PI 10.299 * [backup-simplify]: Simplify (log PI) into (log PI) 10.300 * [backup-simplify]: Simplify (+ 1 0) into 1 10.300 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.301 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 10.301 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 10.301 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 10.301 * [backup-simplify]: Simplify 0 into 0 10.301 * [backup-simplify]: Simplify 0 into 0 10.301 * [backup-simplify]: Simplify 0 into 0 10.301 * [backup-simplify]: Simplify 0 into 0 10.301 * [backup-simplify]: Simplify 0 into 0 10.301 * [backup-simplify]: Simplify 0 into 0 10.302 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 10.302 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 10.302 * [backup-simplify]: Simplify (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) into (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) 10.302 * [approximate]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in (k n) around 0 10.302 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in n 10.302 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in n 10.302 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in n 10.302 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in n 10.302 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 10.302 * [taylor]: Taking taylor expansion of 0.5 in n 10.302 * [backup-simplify]: Simplify 0.5 into 0.5 10.302 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 10.302 * [taylor]: Taking taylor expansion of 1.0 in n 10.302 * [backup-simplify]: Simplify 1.0 into 1.0 10.302 * [taylor]: Taking taylor expansion of k in n 10.303 * [backup-simplify]: Simplify k into k 10.303 * [taylor]: Taking taylor expansion of (log PI) in n 10.303 * [taylor]: Taking taylor expansion of PI in n 10.303 * [backup-simplify]: Simplify PI into PI 10.303 * [backup-simplify]: Simplify (log PI) into (log PI) 10.303 * [backup-simplify]: Simplify (- k) into (- k) 10.303 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 10.303 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 10.303 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log PI)) into (* 0.5 (* (- 1.0 k) (log PI))) 10.304 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 10.304 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 10.304 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in n 10.304 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in n 10.304 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in n 10.304 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 10.304 * [taylor]: Taking taylor expansion of 0.5 in n 10.304 * [backup-simplify]: Simplify 0.5 into 0.5 10.304 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 10.304 * [taylor]: Taking taylor expansion of 1.0 in n 10.304 * [backup-simplify]: Simplify 1.0 into 1.0 10.304 * [taylor]: Taking taylor expansion of k in n 10.304 * [backup-simplify]: Simplify k into k 10.304 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.304 * [taylor]: Taking taylor expansion of 2.0 in n 10.304 * [backup-simplify]: Simplify 2.0 into 2.0 10.304 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.304 * [backup-simplify]: Simplify (- k) into (- k) 10.304 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 10.304 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 10.305 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log 2.0)) into (* 0.5 (* (- 1.0 k) (log 2.0))) 10.305 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) into (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) 10.305 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 10.305 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 10.305 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 10.305 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 10.305 * [taylor]: Taking taylor expansion of 0.5 in n 10.305 * [backup-simplify]: Simplify 0.5 into 0.5 10.305 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 10.305 * [taylor]: Taking taylor expansion of 1.0 in n 10.305 * [backup-simplify]: Simplify 1.0 into 1.0 10.305 * [taylor]: Taking taylor expansion of k in n 10.305 * [backup-simplify]: Simplify k into k 10.305 * [taylor]: Taking taylor expansion of (log n) in n 10.305 * [taylor]: Taking taylor expansion of n in n 10.305 * [backup-simplify]: Simplify 0 into 0 10.305 * [backup-simplify]: Simplify 1 into 1 10.305 * [backup-simplify]: Simplify (log 1) into 0 10.305 * [backup-simplify]: Simplify (- k) into (- k) 10.305 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 10.306 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 10.306 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.306 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 10.306 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 10.306 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 10.306 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 10.306 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 10.306 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 10.306 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.306 * [taylor]: Taking taylor expansion of 0.5 in k 10.306 * [backup-simplify]: Simplify 0.5 into 0.5 10.306 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.306 * [taylor]: Taking taylor expansion of 1.0 in k 10.306 * [backup-simplify]: Simplify 1.0 into 1.0 10.306 * [taylor]: Taking taylor expansion of k in k 10.306 * [backup-simplify]: Simplify 0 into 0 10.306 * [backup-simplify]: Simplify 1 into 1 10.306 * [taylor]: Taking taylor expansion of (log PI) in k 10.306 * [taylor]: Taking taylor expansion of PI in k 10.306 * [backup-simplify]: Simplify PI into PI 10.307 * [backup-simplify]: Simplify (log PI) into (log PI) 10.307 * [backup-simplify]: Simplify (- 0) into 0 10.307 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.307 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.308 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 10.309 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 10.309 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 10.309 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 10.309 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 10.309 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 10.309 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.309 * [taylor]: Taking taylor expansion of 0.5 in k 10.309 * [backup-simplify]: Simplify 0.5 into 0.5 10.309 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.309 * [taylor]: Taking taylor expansion of 1.0 in k 10.309 * [backup-simplify]: Simplify 1.0 into 1.0 10.309 * [taylor]: Taking taylor expansion of k in k 10.309 * [backup-simplify]: Simplify 0 into 0 10.309 * [backup-simplify]: Simplify 1 into 1 10.309 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.309 * [taylor]: Taking taylor expansion of 2.0 in k 10.309 * [backup-simplify]: Simplify 2.0 into 2.0 10.309 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.310 * [backup-simplify]: Simplify (- 0) into 0 10.310 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.310 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.311 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 10.312 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 10.312 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 10.312 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 10.312 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 10.312 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.312 * [taylor]: Taking taylor expansion of 0.5 in k 10.312 * [backup-simplify]: Simplify 0.5 into 0.5 10.312 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.312 * [taylor]: Taking taylor expansion of 1.0 in k 10.312 * [backup-simplify]: Simplify 1.0 into 1.0 10.312 * [taylor]: Taking taylor expansion of k in k 10.312 * [backup-simplify]: Simplify 0 into 0 10.312 * [backup-simplify]: Simplify 1 into 1 10.312 * [taylor]: Taking taylor expansion of (log n) in k 10.312 * [taylor]: Taking taylor expansion of n in k 10.312 * [backup-simplify]: Simplify n into n 10.312 * [backup-simplify]: Simplify (log n) into (log n) 10.312 * [backup-simplify]: Simplify (- 0) into 0 10.312 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.313 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.313 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 10.313 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 10.313 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 10.313 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 10.313 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 10.313 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 10.313 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.313 * [taylor]: Taking taylor expansion of 0.5 in k 10.313 * [backup-simplify]: Simplify 0.5 into 0.5 10.313 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.313 * [taylor]: Taking taylor expansion of 1.0 in k 10.313 * [backup-simplify]: Simplify 1.0 into 1.0 10.313 * [taylor]: Taking taylor expansion of k in k 10.313 * [backup-simplify]: Simplify 0 into 0 10.313 * [backup-simplify]: Simplify 1 into 1 10.313 * [taylor]: Taking taylor expansion of (log PI) in k 10.313 * [taylor]: Taking taylor expansion of PI in k 10.313 * [backup-simplify]: Simplify PI into PI 10.313 * [backup-simplify]: Simplify (log PI) into (log PI) 10.314 * [backup-simplify]: Simplify (- 0) into 0 10.314 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.314 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.315 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 10.316 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 10.316 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 10.316 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 10.316 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 10.316 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 10.316 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.316 * [taylor]: Taking taylor expansion of 0.5 in k 10.316 * [backup-simplify]: Simplify 0.5 into 0.5 10.316 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.316 * [taylor]: Taking taylor expansion of 1.0 in k 10.316 * [backup-simplify]: Simplify 1.0 into 1.0 10.316 * [taylor]: Taking taylor expansion of k in k 10.316 * [backup-simplify]: Simplify 0 into 0 10.316 * [backup-simplify]: Simplify 1 into 1 10.316 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.317 * [taylor]: Taking taylor expansion of 2.0 in k 10.317 * [backup-simplify]: Simplify 2.0 into 2.0 10.317 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.317 * [backup-simplify]: Simplify (- 0) into 0 10.318 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.318 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.319 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 10.321 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 10.321 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 10.321 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 10.321 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 10.321 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.321 * [taylor]: Taking taylor expansion of 0.5 in k 10.321 * [backup-simplify]: Simplify 0.5 into 0.5 10.321 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.321 * [taylor]: Taking taylor expansion of 1.0 in k 10.321 * [backup-simplify]: Simplify 1.0 into 1.0 10.321 * [taylor]: Taking taylor expansion of k in k 10.321 * [backup-simplify]: Simplify 0 into 0 10.321 * [backup-simplify]: Simplify 1 into 1 10.321 * [taylor]: Taking taylor expansion of (log n) in k 10.321 * [taylor]: Taking taylor expansion of n in k 10.321 * [backup-simplify]: Simplify n into n 10.321 * [backup-simplify]: Simplify (log n) into (log n) 10.321 * [backup-simplify]: Simplify (- 0) into 0 10.322 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.322 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.322 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 10.323 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 10.323 * [backup-simplify]: Simplify (* (pow 2.0 0.5) (pow n 0.5)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5) 10.324 * [backup-simplify]: Simplify (* (pow PI 0.5) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) 10.325 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 10.325 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 10.325 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 10.325 * [taylor]: Taking taylor expansion of 0.5 in n 10.325 * [backup-simplify]: Simplify 0.5 into 0.5 10.325 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 10.325 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 10.325 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.325 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.325 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.325 * [taylor]: Taking taylor expansion of 1.0 in n 10.325 * [backup-simplify]: Simplify 1.0 into 1.0 10.325 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.325 * [taylor]: Taking taylor expansion of 2.0 in n 10.325 * [backup-simplify]: Simplify 2.0 into 2.0 10.325 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.326 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.328 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.328 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 10.328 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.328 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.328 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.328 * [taylor]: Taking taylor expansion of 1.0 in n 10.328 * [backup-simplify]: Simplify 1.0 into 1.0 10.328 * [taylor]: Taking taylor expansion of (log n) in n 10.328 * [taylor]: Taking taylor expansion of n in n 10.328 * [backup-simplify]: Simplify 0 into 0 10.328 * [backup-simplify]: Simplify 1 into 1 10.328 * [backup-simplify]: Simplify (log 1) into 0 10.328 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.328 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.328 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.329 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.329 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.329 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.329 * [taylor]: Taking taylor expansion of 1.0 in n 10.329 * [backup-simplify]: Simplify 1.0 into 1.0 10.329 * [taylor]: Taking taylor expansion of (log PI) in n 10.329 * [taylor]: Taking taylor expansion of PI in n 10.329 * [backup-simplify]: Simplify PI into PI 10.329 * [backup-simplify]: Simplify (log PI) into (log PI) 10.329 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.330 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.331 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 10.332 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 10.333 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 10.333 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 10.334 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 10.335 * [backup-simplify]: Simplify (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) into (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) 10.336 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 10.336 * [backup-simplify]: Simplify (- 1) into -1 10.336 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.337 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 10.338 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 10.338 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 10.339 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 10.339 * [backup-simplify]: Simplify (- 1) into -1 10.339 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.340 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 10.342 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log 2.0))) into (- (* 0.5 (log 2.0))) 10.347 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1)))) into (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5))) 10.350 * [backup-simplify]: Simplify (+ (* (pow 2.0 0.5) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5))) (pow n 0.5))) into (- (+ (* 0.5 (* (log n) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))))) 10.350 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 10.351 * [backup-simplify]: Simplify (- 1) into -1 10.351 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.352 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 10.353 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 10.359 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 10.363 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (- (+ (* 0.5 (* (log n) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5)))))) (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) into (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) 10.363 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 10.363 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 10.363 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) in n 10.363 * [taylor]: Taking taylor expansion of 0.5 in n 10.363 * [backup-simplify]: Simplify 0.5 into 0.5 10.363 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI)) in n 10.363 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 10.363 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 10.364 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 10.364 * [taylor]: Taking taylor expansion of 0.5 in n 10.364 * [backup-simplify]: Simplify 0.5 into 0.5 10.364 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 10.364 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 10.364 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.364 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.364 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.364 * [taylor]: Taking taylor expansion of 1.0 in n 10.364 * [backup-simplify]: Simplify 1.0 into 1.0 10.364 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.364 * [taylor]: Taking taylor expansion of 2.0 in n 10.364 * [backup-simplify]: Simplify 2.0 into 2.0 10.364 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.365 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.365 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.365 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 10.366 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.366 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.366 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.366 * [taylor]: Taking taylor expansion of 1.0 in n 10.366 * [backup-simplify]: Simplify 1.0 into 1.0 10.366 * [taylor]: Taking taylor expansion of (log n) in n 10.366 * [taylor]: Taking taylor expansion of n in n 10.366 * [backup-simplify]: Simplify 0 into 0 10.366 * [backup-simplify]: Simplify 1 into 1 10.366 * [backup-simplify]: Simplify (log 1) into 0 10.366 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.366 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.366 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.366 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.366 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.366 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.366 * [taylor]: Taking taylor expansion of 1.0 in n 10.366 * [backup-simplify]: Simplify 1.0 into 1.0 10.366 * [taylor]: Taking taylor expansion of (log PI) in n 10.366 * [taylor]: Taking taylor expansion of PI in n 10.366 * [backup-simplify]: Simplify PI into PI 10.367 * [backup-simplify]: Simplify (log PI) into (log PI) 10.367 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.368 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.369 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 10.369 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 10.370 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 10.371 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 10.372 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 10.372 * [taylor]: Taking taylor expansion of (log PI) in n 10.372 * [taylor]: Taking taylor expansion of PI in n 10.372 * [backup-simplify]: Simplify PI into PI 10.372 * [backup-simplify]: Simplify (log PI) into (log PI) 10.372 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 10.372 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 10.372 * [taylor]: Taking taylor expansion of 0.5 in n 10.372 * [backup-simplify]: Simplify 0.5 into 0.5 10.372 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 10.372 * [taylor]: Taking taylor expansion of (log n) in n 10.372 * [taylor]: Taking taylor expansion of n in n 10.372 * [backup-simplify]: Simplify 0 into 0 10.372 * [backup-simplify]: Simplify 1 into 1 10.373 * [backup-simplify]: Simplify (log 1) into 0 10.373 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 10.373 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 10.373 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 10.373 * [taylor]: Taking taylor expansion of 0.5 in n 10.373 * [backup-simplify]: Simplify 0.5 into 0.5 10.373 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 10.373 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 10.373 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.373 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.373 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.373 * [taylor]: Taking taylor expansion of 1.0 in n 10.373 * [backup-simplify]: Simplify 1.0 into 1.0 10.373 * [taylor]: Taking taylor expansion of (log PI) in n 10.373 * [taylor]: Taking taylor expansion of PI in n 10.373 * [backup-simplify]: Simplify PI into PI 10.373 * [backup-simplify]: Simplify (log PI) into (log PI) 10.374 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.375 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.375 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 10.375 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.375 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.375 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.375 * [taylor]: Taking taylor expansion of 1.0 in n 10.375 * [backup-simplify]: Simplify 1.0 into 1.0 10.375 * [taylor]: Taking taylor expansion of (log n) in n 10.375 * [taylor]: Taking taylor expansion of n in n 10.375 * [backup-simplify]: Simplify 0 into 0 10.375 * [backup-simplify]: Simplify 1 into 1 10.375 * [backup-simplify]: Simplify (log 1) into 0 10.376 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.376 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.376 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.376 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.376 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.376 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.376 * [taylor]: Taking taylor expansion of 1.0 in n 10.376 * [backup-simplify]: Simplify 1.0 into 1.0 10.376 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.376 * [taylor]: Taking taylor expansion of 2.0 in n 10.376 * [backup-simplify]: Simplify 2.0 into 2.0 10.376 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.377 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.378 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.378 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 10.379 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 10.380 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 10.381 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 10.382 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 10.382 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 10.382 * [taylor]: Taking taylor expansion of 0.5 in n 10.382 * [backup-simplify]: Simplify 0.5 into 0.5 10.382 * [taylor]: Taking taylor expansion of (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 10.382 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.382 * [taylor]: Taking taylor expansion of 2.0 in n 10.382 * [backup-simplify]: Simplify 2.0 into 2.0 10.382 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.382 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 10.382 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 10.382 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 10.382 * [taylor]: Taking taylor expansion of 0.5 in n 10.382 * [backup-simplify]: Simplify 0.5 into 0.5 10.382 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 10.382 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 10.382 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.382 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.382 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.382 * [taylor]: Taking taylor expansion of 1.0 in n 10.382 * [backup-simplify]: Simplify 1.0 into 1.0 10.382 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.382 * [taylor]: Taking taylor expansion of 2.0 in n 10.382 * [backup-simplify]: Simplify 2.0 into 2.0 10.383 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.383 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.391 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.391 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 10.391 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.391 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.391 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.391 * [taylor]: Taking taylor expansion of 1.0 in n 10.391 * [backup-simplify]: Simplify 1.0 into 1.0 10.391 * [taylor]: Taking taylor expansion of (log n) in n 10.391 * [taylor]: Taking taylor expansion of n in n 10.391 * [backup-simplify]: Simplify 0 into 0 10.391 * [backup-simplify]: Simplify 1 into 1 10.392 * [backup-simplify]: Simplify (log 1) into 0 10.392 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.392 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.392 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.392 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.392 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.392 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.392 * [taylor]: Taking taylor expansion of 1.0 in n 10.392 * [backup-simplify]: Simplify 1.0 into 1.0 10.392 * [taylor]: Taking taylor expansion of (log PI) in n 10.392 * [taylor]: Taking taylor expansion of PI in n 10.392 * [backup-simplify]: Simplify PI into PI 10.392 * [backup-simplify]: Simplify (log PI) into (log PI) 10.393 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.394 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.394 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 10.395 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 10.396 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 10.397 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 10.398 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 10.399 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (log PI)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI)) 10.400 * [backup-simplify]: Simplify (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) into (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) 10.400 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.401 * [backup-simplify]: Simplify (* (log n) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) 10.402 * [backup-simplify]: Simplify (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) into (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 10.403 * [backup-simplify]: Simplify (* (log 2.0) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 10.405 * [backup-simplify]: Simplify (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* 0.5 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 10.408 * [backup-simplify]: Simplify (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) 10.411 * [backup-simplify]: Simplify (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) into (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 10.415 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) into (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 10.418 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) into (- (+ (* 0.5 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 10.419 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 10.420 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 10.421 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 10.421 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.422 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.422 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 10.422 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 10.423 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow PI 1.0))) into 0 10.424 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 10.424 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 10.425 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 10.426 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow PI 1.0)) 1.0))) into 0 10.428 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1)))) 1) into 0 10.429 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)))) into 0 10.430 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.430 * [backup-simplify]: Simplify 0 into 0 10.431 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 10.432 * [backup-simplify]: Simplify (- 0) into 0 10.432 * [backup-simplify]: Simplify (+ 0 0) into 0 10.432 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 10.433 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 10.434 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 10.435 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 10.436 * [backup-simplify]: Simplify (- 0) into 0 10.436 * [backup-simplify]: Simplify (+ 0 0) into 0 10.436 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 10.437 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log 2.0)))) into 0 10.444 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5))) 10.454 * [backup-simplify]: Simplify (+ (* (pow 2.0 0.5) (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2)))) (+ (* (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5))) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5))) (pow n 0.5)))) into (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (pow n 1.0)) 0.5))) (* 0.125 (* (pow (log n) 2) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))))) 10.457 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 10.457 * [backup-simplify]: Simplify (- 0) into 0 10.458 * [backup-simplify]: Simplify (+ 0 0) into 0 10.459 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 10.460 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 10.472 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 10.490 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (pow n 1.0)) 0.5))) (* 0.125 (* (pow (log n) 2) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (- (+ (* 0.5 (* (log n) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5)))))) (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5)))) into (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))))) 10.490 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))))) in n 10.490 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) in n 10.490 * [taylor]: Taking taylor expansion of 0.25 in n 10.490 * [backup-simplify]: Simplify 0.25 into 0.25 10.490 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) in n 10.490 * [taylor]: Taking taylor expansion of (* (log 2.0) (log n)) in n 10.490 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.490 * [taylor]: Taking taylor expansion of 2.0 in n 10.490 * [backup-simplify]: Simplify 2.0 into 2.0 10.491 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.491 * [taylor]: Taking taylor expansion of (log n) in n 10.491 * [taylor]: Taking taylor expansion of n in n 10.491 * [backup-simplify]: Simplify 0 into 0 10.491 * [backup-simplify]: Simplify 1 into 1 10.491 * [backup-simplify]: Simplify (log 1) into 0 10.491 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 10.491 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 10.491 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 10.491 * [taylor]: Taking taylor expansion of 0.5 in n 10.492 * [backup-simplify]: Simplify 0.5 into 0.5 10.492 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 10.492 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 10.492 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.492 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.492 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.492 * [taylor]: Taking taylor expansion of 1.0 in n 10.492 * [backup-simplify]: Simplify 1.0 into 1.0 10.492 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.492 * [taylor]: Taking taylor expansion of 2.0 in n 10.492 * [backup-simplify]: Simplify 2.0 into 2.0 10.492 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.493 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.495 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.495 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 10.495 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.495 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.495 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.495 * [taylor]: Taking taylor expansion of 1.0 in n 10.495 * [backup-simplify]: Simplify 1.0 into 1.0 10.495 * [taylor]: Taking taylor expansion of (log PI) in n 10.495 * [taylor]: Taking taylor expansion of PI in n 10.495 * [backup-simplify]: Simplify PI into PI 10.495 * [backup-simplify]: Simplify (log PI) into (log PI) 10.496 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.498 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.498 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.498 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.498 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.498 * [taylor]: Taking taylor expansion of 1.0 in n 10.498 * [backup-simplify]: Simplify 1.0 into 1.0 10.498 * [taylor]: Taking taylor expansion of (log n) in n 10.498 * [taylor]: Taking taylor expansion of n in n 10.498 * [backup-simplify]: Simplify 0 into 0 10.498 * [backup-simplify]: Simplify 1 into 1 10.499 * [backup-simplify]: Simplify (log 1) into 0 10.499 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.499 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.499 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.500 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 10.501 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 10.502 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 10.504 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 10.505 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 10.505 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))))) in n 10.505 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) in n 10.505 * [taylor]: Taking taylor expansion of 0.25 in n 10.505 * [backup-simplify]: Simplify 0.25 into 0.25 10.505 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI))) in n 10.505 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 10.505 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 10.506 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 10.506 * [taylor]: Taking taylor expansion of 0.5 in n 10.506 * [backup-simplify]: Simplify 0.5 into 0.5 10.506 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 10.506 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 10.506 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.506 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.506 * [taylor]: Taking taylor expansion of 1.0 in n 10.506 * [backup-simplify]: Simplify 1.0 into 1.0 10.506 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.506 * [taylor]: Taking taylor expansion of 2.0 in n 10.506 * [backup-simplify]: Simplify 2.0 into 2.0 10.506 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.507 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.518 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.518 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 10.518 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.518 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.518 * [taylor]: Taking taylor expansion of 1.0 in n 10.518 * [backup-simplify]: Simplify 1.0 into 1.0 10.518 * [taylor]: Taking taylor expansion of (log PI) in n 10.518 * [taylor]: Taking taylor expansion of PI in n 10.518 * [backup-simplify]: Simplify PI into PI 10.519 * [backup-simplify]: Simplify (log PI) into (log PI) 10.520 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.521 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.521 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.521 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.521 * [taylor]: Taking taylor expansion of 1.0 in n 10.521 * [backup-simplify]: Simplify 1.0 into 1.0 10.522 * [taylor]: Taking taylor expansion of (log n) in n 10.522 * [taylor]: Taking taylor expansion of n in n 10.522 * [backup-simplify]: Simplify 0 into 0 10.522 * [backup-simplify]: Simplify 1 into 1 10.522 * [backup-simplify]: Simplify (log 1) into 0 10.522 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.523 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.523 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.523 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 10.525 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 10.526 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 10.527 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 10.529 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 10.529 * [taylor]: Taking taylor expansion of (* (log n) (log PI)) in n 10.529 * [taylor]: Taking taylor expansion of (log n) in n 10.529 * [taylor]: Taking taylor expansion of n in n 10.529 * [backup-simplify]: Simplify 0 into 0 10.529 * [backup-simplify]: Simplify 1 into 1 10.530 * [backup-simplify]: Simplify (log 1) into 0 10.530 * [taylor]: Taking taylor expansion of (log PI) in n 10.530 * [taylor]: Taking taylor expansion of PI in n 10.530 * [backup-simplify]: Simplify PI into PI 10.530 * [backup-simplify]: Simplify (log PI) into (log PI) 10.530 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))) in n 10.530 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 10.531 * [taylor]: Taking taylor expansion of 0.25 in n 10.531 * [backup-simplify]: Simplify 0.25 into 0.25 10.531 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 10.531 * [taylor]: Taking taylor expansion of (* (log 2.0) (log PI)) in n 10.531 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.531 * [taylor]: Taking taylor expansion of 2.0 in n 10.531 * [backup-simplify]: Simplify 2.0 into 2.0 10.531 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.531 * [taylor]: Taking taylor expansion of (log PI) in n 10.531 * [taylor]: Taking taylor expansion of PI in n 10.531 * [backup-simplify]: Simplify PI into PI 10.532 * [backup-simplify]: Simplify (log PI) into (log PI) 10.532 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 10.532 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 10.532 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 10.532 * [taylor]: Taking taylor expansion of 0.5 in n 10.532 * [backup-simplify]: Simplify 0.5 into 0.5 10.532 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 10.532 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 10.532 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.532 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.532 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.532 * [taylor]: Taking taylor expansion of 1.0 in n 10.532 * [backup-simplify]: Simplify 1.0 into 1.0 10.532 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.532 * [taylor]: Taking taylor expansion of 2.0 in n 10.532 * [backup-simplify]: Simplify 2.0 into 2.0 10.533 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.533 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.535 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.535 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 10.535 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.535 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.535 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.535 * [taylor]: Taking taylor expansion of 1.0 in n 10.535 * [backup-simplify]: Simplify 1.0 into 1.0 10.535 * [taylor]: Taking taylor expansion of (log n) in n 10.535 * [taylor]: Taking taylor expansion of n in n 10.535 * [backup-simplify]: Simplify 0 into 0 10.535 * [backup-simplify]: Simplify 1 into 1 10.536 * [backup-simplify]: Simplify (log 1) into 0 10.536 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.536 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.536 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.536 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.536 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.536 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.536 * [taylor]: Taking taylor expansion of 1.0 in n 10.536 * [backup-simplify]: Simplify 1.0 into 1.0 10.536 * [taylor]: Taking taylor expansion of (log PI) in n 10.537 * [taylor]: Taking taylor expansion of PI in n 10.537 * [backup-simplify]: Simplify PI into PI 10.537 * [backup-simplify]: Simplify (log PI) into (log PI) 10.538 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.540 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.540 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 10.542 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 10.543 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 10.544 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 10.546 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 10.546 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))) in n 10.546 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 10.546 * [taylor]: Taking taylor expansion of 0.125 in n 10.546 * [backup-simplify]: Simplify 0.125 into 0.125 10.546 * [taylor]: Taking taylor expansion of (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 10.546 * [taylor]: Taking taylor expansion of (pow (log 2.0) 2) in n 10.546 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.546 * [taylor]: Taking taylor expansion of 2.0 in n 10.546 * [backup-simplify]: Simplify 2.0 into 2.0 10.546 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.546 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 10.546 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 10.547 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 10.547 * [taylor]: Taking taylor expansion of 0.5 in n 10.547 * [backup-simplify]: Simplify 0.5 into 0.5 10.547 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 10.547 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 10.547 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.547 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.547 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.547 * [taylor]: Taking taylor expansion of 1.0 in n 10.547 * [backup-simplify]: Simplify 1.0 into 1.0 10.547 * [taylor]: Taking taylor expansion of (log PI) in n 10.547 * [taylor]: Taking taylor expansion of PI in n 10.547 * [backup-simplify]: Simplify PI into PI 10.547 * [backup-simplify]: Simplify (log PI) into (log PI) 10.548 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.550 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.550 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 10.550 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.550 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.550 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.550 * [taylor]: Taking taylor expansion of 1.0 in n 10.550 * [backup-simplify]: Simplify 1.0 into 1.0 10.550 * [taylor]: Taking taylor expansion of (log n) in n 10.550 * [taylor]: Taking taylor expansion of n in n 10.550 * [backup-simplify]: Simplify 0 into 0 10.550 * [backup-simplify]: Simplify 1 into 1 10.550 * [backup-simplify]: Simplify (log 1) into 0 10.551 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.551 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.551 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.551 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.551 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.551 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.551 * [taylor]: Taking taylor expansion of 1.0 in n 10.551 * [backup-simplify]: Simplify 1.0 into 1.0 10.551 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.551 * [taylor]: Taking taylor expansion of 2.0 in n 10.551 * [backup-simplify]: Simplify 2.0 into 2.0 10.552 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.553 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.554 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.555 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 10.556 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 10.557 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 10.559 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 10.560 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 10.560 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))) in n 10.561 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) in n 10.561 * [taylor]: Taking taylor expansion of 0.125 in n 10.561 * [backup-simplify]: Simplify 0.125 into 0.125 10.561 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2)) in n 10.561 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 10.561 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 10.561 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 10.561 * [taylor]: Taking taylor expansion of 0.5 in n 10.561 * [backup-simplify]: Simplify 0.5 into 0.5 10.561 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 10.561 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 10.561 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.561 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.561 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.561 * [taylor]: Taking taylor expansion of 1.0 in n 10.561 * [backup-simplify]: Simplify 1.0 into 1.0 10.561 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.561 * [taylor]: Taking taylor expansion of 2.0 in n 10.561 * [backup-simplify]: Simplify 2.0 into 2.0 10.561 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.562 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.564 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.564 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 10.564 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.564 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.564 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.564 * [taylor]: Taking taylor expansion of 1.0 in n 10.564 * [backup-simplify]: Simplify 1.0 into 1.0 10.564 * [taylor]: Taking taylor expansion of (log n) in n 10.564 * [taylor]: Taking taylor expansion of n in n 10.564 * [backup-simplify]: Simplify 0 into 0 10.564 * [backup-simplify]: Simplify 1 into 1 10.564 * [backup-simplify]: Simplify (log 1) into 0 10.565 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.565 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.565 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.565 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.565 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.565 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.565 * [taylor]: Taking taylor expansion of 1.0 in n 10.565 * [backup-simplify]: Simplify 1.0 into 1.0 10.565 * [taylor]: Taking taylor expansion of (log PI) in n 10.565 * [taylor]: Taking taylor expansion of PI in n 10.565 * [backup-simplify]: Simplify PI into PI 10.566 * [backup-simplify]: Simplify (log PI) into (log PI) 10.567 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.568 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.569 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 10.570 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 10.571 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 10.573 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 10.574 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 10.574 * [taylor]: Taking taylor expansion of (pow (log PI) 2) in n 10.574 * [taylor]: Taking taylor expansion of (log PI) in n 10.574 * [taylor]: Taking taylor expansion of PI in n 10.574 * [backup-simplify]: Simplify PI into PI 10.574 * [backup-simplify]: Simplify (log PI) into (log PI) 10.575 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) in n 10.575 * [taylor]: Taking taylor expansion of 0.125 in n 10.575 * [backup-simplify]: Simplify 0.125 into 0.125 10.575 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 10.575 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 10.575 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 10.575 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 10.575 * [taylor]: Taking taylor expansion of 0.5 in n 10.575 * [backup-simplify]: Simplify 0.5 into 0.5 10.575 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 10.575 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 10.575 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.575 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.575 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.575 * [taylor]: Taking taylor expansion of 1.0 in n 10.575 * [backup-simplify]: Simplify 1.0 into 1.0 10.575 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.575 * [taylor]: Taking taylor expansion of 2.0 in n 10.575 * [backup-simplify]: Simplify 2.0 into 2.0 10.575 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.576 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.577 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.577 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 10.577 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.577 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.577 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.577 * [taylor]: Taking taylor expansion of 1.0 in n 10.577 * [backup-simplify]: Simplify 1.0 into 1.0 10.577 * [taylor]: Taking taylor expansion of (log PI) in n 10.577 * [taylor]: Taking taylor expansion of PI in n 10.577 * [backup-simplify]: Simplify PI into PI 10.577 * [backup-simplify]: Simplify (log PI) into (log PI) 10.578 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.579 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.579 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.579 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.579 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.579 * [taylor]: Taking taylor expansion of 1.0 in n 10.579 * [backup-simplify]: Simplify 1.0 into 1.0 10.579 * [taylor]: Taking taylor expansion of (log n) in n 10.579 * [taylor]: Taking taylor expansion of n in n 10.579 * [backup-simplify]: Simplify 0 into 0 10.579 * [backup-simplify]: Simplify 1 into 1 10.579 * [backup-simplify]: Simplify (log 1) into 0 10.580 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.580 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.580 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.580 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 10.581 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 10.582 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 10.583 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 10.584 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 10.584 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 10.584 * [taylor]: Taking taylor expansion of (log n) in n 10.584 * [taylor]: Taking taylor expansion of n in n 10.584 * [backup-simplify]: Simplify 0 into 0 10.584 * [backup-simplify]: Simplify 1 into 1 10.584 * [backup-simplify]: Simplify (log 1) into 0 10.584 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.585 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.585 * [backup-simplify]: Simplify (* (log 2.0) (log n)) into (* (log 2.0) (log n)) 10.586 * [backup-simplify]: Simplify (* (* (log 2.0) (log n)) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) 10.587 * [backup-simplify]: Simplify (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) into (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) 10.588 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.588 * [backup-simplify]: Simplify (* (log n) (log PI)) into (* (log n) (log PI)) 10.590 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (* (log n) (log PI))) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (log PI))) 10.591 * [backup-simplify]: Simplify (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (log PI)))) into (* 0.25 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 10.592 * [backup-simplify]: Simplify (* (log 2.0) (log PI)) into (* (log 2.0) (log PI)) 10.594 * [backup-simplify]: Simplify (* (* (log 2.0) (log PI)) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 10.595 * [backup-simplify]: Simplify (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 10.596 * [backup-simplify]: Simplify (* (log 2.0) (log 2.0)) into (pow (log 2.0) 2) 10.598 * [backup-simplify]: Simplify (* (pow (log 2.0) 2) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 10.599 * [backup-simplify]: Simplify (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 10.600 * [backup-simplify]: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 10.601 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (log PI) 2)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2)) 10.603 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) into (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))) 10.603 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.604 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.604 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 10.605 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (log n) 2)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2)) 10.606 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 10.608 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2)))) 10.614 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))))) 10.625 * [backup-simplify]: Simplify (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) 10.637 * [backup-simplify]: Simplify (+ (* 0.25 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))))))) 10.650 * [backup-simplify]: Simplify (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))))) into (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (+ (* 0.25 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 10.665 * [backup-simplify]: Simplify (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (+ (* 0.25 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) into (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))))) 10.680 * [backup-simplify]: Simplify (+ (* (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* 0.5 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) (* 1 k)) (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log 2.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (* 0.25 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.25 (* (* (pow k 2) (* (log n) (log PI))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))))) (+ (* 0.5 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (* k (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))) 10.681 * [backup-simplify]: Simplify (* (* (pow 2.0 (/ (- 1.0 (/ 1 k)) 2.0)) (pow PI (/ (- 1.0 (/ 1 k)) 2.0))) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0))) into (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) 10.681 * [approximate]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 10.681 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in n 10.681 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in n 10.681 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in n 10.681 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in n 10.681 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 10.681 * [taylor]: Taking taylor expansion of 0.5 in n 10.681 * [backup-simplify]: Simplify 0.5 into 0.5 10.681 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.681 * [taylor]: Taking taylor expansion of 1.0 in n 10.681 * [backup-simplify]: Simplify 1.0 into 1.0 10.681 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.681 * [taylor]: Taking taylor expansion of k in n 10.681 * [backup-simplify]: Simplify k into k 10.681 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.681 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.681 * [taylor]: Taking taylor expansion of 2.0 in n 10.681 * [backup-simplify]: Simplify 2.0 into 2.0 10.681 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.682 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.682 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.682 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 10.682 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) into (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) 10.682 * [backup-simplify]: Simplify (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 10.682 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in n 10.682 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 10.682 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 10.682 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 10.682 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 10.683 * [taylor]: Taking taylor expansion of 0.5 in n 10.683 * [backup-simplify]: Simplify 0.5 into 0.5 10.683 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.683 * [taylor]: Taking taylor expansion of 1.0 in n 10.683 * [backup-simplify]: Simplify 1.0 into 1.0 10.683 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.683 * [taylor]: Taking taylor expansion of k in n 10.683 * [backup-simplify]: Simplify k into k 10.683 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.683 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 10.683 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.683 * [taylor]: Taking taylor expansion of n in n 10.683 * [backup-simplify]: Simplify 0 into 0 10.683 * [backup-simplify]: Simplify 1 into 1 10.683 * [backup-simplify]: Simplify (/ 1 1) into 1 10.683 * [backup-simplify]: Simplify (log 1) into 0 10.683 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.684 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.684 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 10.684 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.684 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 10.685 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 10.685 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in n 10.685 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in n 10.685 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in n 10.685 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 10.685 * [taylor]: Taking taylor expansion of 0.5 in n 10.685 * [backup-simplify]: Simplify 0.5 into 0.5 10.685 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.685 * [taylor]: Taking taylor expansion of 1.0 in n 10.685 * [backup-simplify]: Simplify 1.0 into 1.0 10.685 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.685 * [taylor]: Taking taylor expansion of k in n 10.685 * [backup-simplify]: Simplify k into k 10.685 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.685 * [taylor]: Taking taylor expansion of (log PI) in n 10.685 * [taylor]: Taking taylor expansion of PI in n 10.685 * [backup-simplify]: Simplify PI into PI 10.685 * [backup-simplify]: Simplify (log PI) into (log PI) 10.686 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.686 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.686 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 10.686 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) into (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) 10.687 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 10.687 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 10.687 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 10.687 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 10.687 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 10.687 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.687 * [taylor]: Taking taylor expansion of 0.5 in k 10.687 * [backup-simplify]: Simplify 0.5 into 0.5 10.687 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.687 * [taylor]: Taking taylor expansion of 1.0 in k 10.687 * [backup-simplify]: Simplify 1.0 into 1.0 10.687 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.687 * [taylor]: Taking taylor expansion of k in k 10.687 * [backup-simplify]: Simplify 0 into 0 10.687 * [backup-simplify]: Simplify 1 into 1 10.688 * [backup-simplify]: Simplify (/ 1 1) into 1 10.688 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.688 * [taylor]: Taking taylor expansion of 2.0 in k 10.688 * [backup-simplify]: Simplify 2.0 into 2.0 10.688 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.689 * [backup-simplify]: Simplify (- 1) into -1 10.689 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.690 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.691 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 10.691 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 10.691 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 10.692 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 10.692 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 10.692 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 10.692 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.692 * [taylor]: Taking taylor expansion of 0.5 in k 10.692 * [backup-simplify]: Simplify 0.5 into 0.5 10.692 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.692 * [taylor]: Taking taylor expansion of 1.0 in k 10.692 * [backup-simplify]: Simplify 1.0 into 1.0 10.692 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.692 * [taylor]: Taking taylor expansion of k in k 10.692 * [backup-simplify]: Simplify 0 into 0 10.692 * [backup-simplify]: Simplify 1 into 1 10.692 * [backup-simplify]: Simplify (/ 1 1) into 1 10.692 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 10.692 * [taylor]: Taking taylor expansion of (/ 1 n) in k 10.692 * [taylor]: Taking taylor expansion of n in k 10.692 * [backup-simplify]: Simplify n into n 10.692 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.693 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 10.693 * [backup-simplify]: Simplify (- 1) into -1 10.693 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.694 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.694 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 10.694 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 10.694 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 10.694 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 10.694 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 10.694 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.694 * [taylor]: Taking taylor expansion of 0.5 in k 10.694 * [backup-simplify]: Simplify 0.5 into 0.5 10.694 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.694 * [taylor]: Taking taylor expansion of 1.0 in k 10.694 * [backup-simplify]: Simplify 1.0 into 1.0 10.694 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.695 * [taylor]: Taking taylor expansion of k in k 10.695 * [backup-simplify]: Simplify 0 into 0 10.695 * [backup-simplify]: Simplify 1 into 1 10.695 * [backup-simplify]: Simplify (/ 1 1) into 1 10.695 * [taylor]: Taking taylor expansion of (log PI) in k 10.695 * [taylor]: Taking taylor expansion of PI in k 10.695 * [backup-simplify]: Simplify PI into PI 10.695 * [backup-simplify]: Simplify (log PI) into (log PI) 10.696 * [backup-simplify]: Simplify (- 1) into -1 10.696 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.697 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.698 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 10.698 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 10.698 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 10.698 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 10.698 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 10.698 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 10.699 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.699 * [taylor]: Taking taylor expansion of 0.5 in k 10.699 * [backup-simplify]: Simplify 0.5 into 0.5 10.699 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.699 * [taylor]: Taking taylor expansion of 1.0 in k 10.699 * [backup-simplify]: Simplify 1.0 into 1.0 10.699 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.699 * [taylor]: Taking taylor expansion of k in k 10.699 * [backup-simplify]: Simplify 0 into 0 10.699 * [backup-simplify]: Simplify 1 into 1 10.699 * [backup-simplify]: Simplify (/ 1 1) into 1 10.699 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.699 * [taylor]: Taking taylor expansion of 2.0 in k 10.699 * [backup-simplify]: Simplify 2.0 into 2.0 10.700 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.700 * [backup-simplify]: Simplify (- 1) into -1 10.700 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.700 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.701 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 10.701 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 10.701 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 10.701 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 10.701 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 10.701 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 10.701 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.701 * [taylor]: Taking taylor expansion of 0.5 in k 10.701 * [backup-simplify]: Simplify 0.5 into 0.5 10.701 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.701 * [taylor]: Taking taylor expansion of 1.0 in k 10.701 * [backup-simplify]: Simplify 1.0 into 1.0 10.701 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.701 * [taylor]: Taking taylor expansion of k in k 10.701 * [backup-simplify]: Simplify 0 into 0 10.701 * [backup-simplify]: Simplify 1 into 1 10.702 * [backup-simplify]: Simplify (/ 1 1) into 1 10.702 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 10.702 * [taylor]: Taking taylor expansion of (/ 1 n) in k 10.702 * [taylor]: Taking taylor expansion of n in k 10.702 * [backup-simplify]: Simplify n into n 10.702 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.702 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 10.702 * [backup-simplify]: Simplify (- 1) into -1 10.702 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.703 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.703 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 10.703 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 10.703 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 10.703 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 10.703 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 10.703 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.703 * [taylor]: Taking taylor expansion of 0.5 in k 10.703 * [backup-simplify]: Simplify 0.5 into 0.5 10.703 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.703 * [taylor]: Taking taylor expansion of 1.0 in k 10.703 * [backup-simplify]: Simplify 1.0 into 1.0 10.703 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.703 * [taylor]: Taking taylor expansion of k in k 10.703 * [backup-simplify]: Simplify 0 into 0 10.703 * [backup-simplify]: Simplify 1 into 1 10.703 * [backup-simplify]: Simplify (/ 1 1) into 1 10.703 * [taylor]: Taking taylor expansion of (log PI) in k 10.703 * [taylor]: Taking taylor expansion of PI in k 10.703 * [backup-simplify]: Simplify PI into PI 10.704 * [backup-simplify]: Simplify (log PI) into (log PI) 10.704 * [backup-simplify]: Simplify (- 1) into -1 10.704 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.704 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.705 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 10.705 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 10.706 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) 10.707 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) 10.707 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) in n 10.707 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 10.707 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 10.707 * [taylor]: Taking taylor expansion of 0.5 in n 10.707 * [backup-simplify]: Simplify 0.5 into 0.5 10.707 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 10.707 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 10.707 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.707 * [taylor]: Taking taylor expansion of n in n 10.707 * [backup-simplify]: Simplify 0 into 0 10.707 * [backup-simplify]: Simplify 1 into 1 10.707 * [backup-simplify]: Simplify (/ 1 1) into 1 10.707 * [backup-simplify]: Simplify (log 1) into 0 10.707 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.707 * [taylor]: Taking taylor expansion of 1.0 in n 10.707 * [backup-simplify]: Simplify 1.0 into 1.0 10.707 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.707 * [taylor]: Taking taylor expansion of k in n 10.708 * [backup-simplify]: Simplify k into k 10.708 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.708 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.708 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.708 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.708 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 10.708 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 10.708 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 10.708 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) in n 10.708 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) in n 10.708 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) in n 10.708 * [taylor]: Taking taylor expansion of 0.5 in n 10.708 * [backup-simplify]: Simplify 0.5 into 0.5 10.708 * [taylor]: Taking taylor expansion of (* (log PI) (- 1.0 (/ 1 k))) in n 10.708 * [taylor]: Taking taylor expansion of (log PI) in n 10.708 * [taylor]: Taking taylor expansion of PI in n 10.708 * [backup-simplify]: Simplify PI into PI 10.709 * [backup-simplify]: Simplify (log PI) into (log PI) 10.709 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.709 * [taylor]: Taking taylor expansion of 1.0 in n 10.709 * [backup-simplify]: Simplify 1.0 into 1.0 10.709 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.709 * [taylor]: Taking taylor expansion of k in n 10.709 * [backup-simplify]: Simplify k into k 10.709 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.709 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.709 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.709 * [backup-simplify]: Simplify (* (log PI) (- 1.0 (/ 1 k))) into (* (- 1.0 (/ 1 k)) (log PI)) 10.710 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))) into (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))) 10.710 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 10.710 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 10.710 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 10.710 * [taylor]: Taking taylor expansion of 0.5 in n 10.710 * [backup-simplify]: Simplify 0.5 into 0.5 10.710 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 10.710 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.710 * [taylor]: Taking taylor expansion of 2.0 in n 10.710 * [backup-simplify]: Simplify 2.0 into 2.0 10.711 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.711 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.711 * [taylor]: Taking taylor expansion of 1.0 in n 10.711 * [backup-simplify]: Simplify 1.0 into 1.0 10.711 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.711 * [taylor]: Taking taylor expansion of k in n 10.711 * [backup-simplify]: Simplify k into k 10.711 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.711 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.711 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.711 * [backup-simplify]: Simplify (* (log 2.0) (- 1.0 (/ 1 k))) into (* (log 2.0) (- 1.0 (/ 1 k))) 10.711 * [backup-simplify]: Simplify (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) into (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) 10.712 * [backup-simplify]: Simplify (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 10.712 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) 10.713 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) 10.714 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) 10.715 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))) into 0 10.716 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (* 0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))) into 0 10.716 * [taylor]: Taking taylor expansion of 0 in n 10.716 * [backup-simplify]: Simplify 0 into 0 10.716 * [backup-simplify]: Simplify 0 into 0 10.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.716 * [backup-simplify]: Simplify (- 0) into 0 10.716 * [backup-simplify]: Simplify (+ 0 0) into 0 10.717 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 10.718 * [backup-simplify]: Simplify (+ (* (log 2.0) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 10.718 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log 2.0) (- 1.0 (/ 1 k))))) into 0 10.719 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.719 * [backup-simplify]: Simplify (- 0) into 0 10.720 * [backup-simplify]: Simplify (+ 0 0) into 0 10.721 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 10.721 * [backup-simplify]: Simplify (+ (* (log PI) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 10.722 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- 1.0 (/ 1 k)) (log PI)))) into 0 10.722 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.723 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 0) (* 0 (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into 0 10.723 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.724 * [backup-simplify]: Simplify (- 0) into 0 10.724 * [backup-simplify]: Simplify (+ 0 0) into 0 10.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.725 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.725 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 10.726 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 10.726 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.727 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into 0 10.727 * [backup-simplify]: Simplify 0 into 0 10.728 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))) into 0 10.729 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))))) into 0 10.729 * [taylor]: Taking taylor expansion of 0 in n 10.729 * [backup-simplify]: Simplify 0 into 0 10.729 * [backup-simplify]: Simplify 0 into 0 10.729 * [backup-simplify]: Simplify 0 into 0 10.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.729 * [backup-simplify]: Simplify (- 0) into 0 10.730 * [backup-simplify]: Simplify (+ 0 0) into 0 10.731 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 10.732 * [backup-simplify]: Simplify (+ (* (log 2.0) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 10.733 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log 2.0) (- 1.0 (/ 1 k)))))) into 0 10.734 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.734 * [backup-simplify]: Simplify (- 0) into 0 10.734 * [backup-simplify]: Simplify (+ 0 0) into 0 10.736 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 10.737 * [backup-simplify]: Simplify (+ (* (log PI) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 10.737 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- 1.0 (/ 1 k)) (log PI))))) into 0 10.739 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.739 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into 0 10.740 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.740 * [backup-simplify]: Simplify (- 0) into 0 10.740 * [backup-simplify]: Simplify (+ 0 0) into 0 10.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.742 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.743 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 10.743 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k))))))) into 0 10.744 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.745 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) into 0 10.745 * [backup-simplify]: Simplify 0 into 0 10.746 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))))) into 0 10.747 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))))) into 0 10.747 * [taylor]: Taking taylor expansion of 0 in n 10.748 * [backup-simplify]: Simplify 0 into 0 10.748 * [backup-simplify]: Simplify 0 into 0 10.748 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log PI)))) (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k)))))))) into (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (* (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) 10.749 * [backup-simplify]: Simplify (* (* (pow 2.0 (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0))) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) 10.749 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in (k n) around 0 10.749 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in n 10.749 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 10.749 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 10.749 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 10.749 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 10.749 * [taylor]: Taking taylor expansion of 0.5 in n 10.749 * [backup-simplify]: Simplify 0.5 into 0.5 10.749 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.749 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.749 * [taylor]: Taking taylor expansion of k in n 10.749 * [backup-simplify]: Simplify k into k 10.749 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.749 * [taylor]: Taking taylor expansion of 1.0 in n 10.749 * [backup-simplify]: Simplify 1.0 into 1.0 10.749 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 10.749 * [taylor]: Taking taylor expansion of (/ -1 n) in n 10.749 * [taylor]: Taking taylor expansion of -1 in n 10.749 * [backup-simplify]: Simplify -1 into -1 10.749 * [taylor]: Taking taylor expansion of n in n 10.749 * [backup-simplify]: Simplify 0 into 0 10.749 * [backup-simplify]: Simplify 1 into 1 10.750 * [backup-simplify]: Simplify (/ -1 1) into -1 10.750 * [backup-simplify]: Simplify (log -1) into (log -1) 10.750 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.750 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 10.751 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.751 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 10.751 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 10.751 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in n 10.752 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in n 10.752 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in n 10.752 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in n 10.752 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 10.752 * [taylor]: Taking taylor expansion of 0.5 in n 10.752 * [backup-simplify]: Simplify 0.5 into 0.5 10.752 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.752 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.752 * [taylor]: Taking taylor expansion of k in n 10.752 * [backup-simplify]: Simplify k into k 10.752 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.752 * [taylor]: Taking taylor expansion of 1.0 in n 10.752 * [backup-simplify]: Simplify 1.0 into 1.0 10.752 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.752 * [taylor]: Taking taylor expansion of 2.0 in n 10.752 * [backup-simplify]: Simplify 2.0 into 2.0 10.752 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.752 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.752 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 10.753 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) into (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) 10.753 * [backup-simplify]: Simplify (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 10.753 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in n 10.753 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in n 10.753 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in n 10.753 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 10.753 * [taylor]: Taking taylor expansion of 0.5 in n 10.753 * [backup-simplify]: Simplify 0.5 into 0.5 10.753 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.753 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.753 * [taylor]: Taking taylor expansion of k in n 10.753 * [backup-simplify]: Simplify k into k 10.753 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.753 * [taylor]: Taking taylor expansion of 1.0 in n 10.753 * [backup-simplify]: Simplify 1.0 into 1.0 10.753 * [taylor]: Taking taylor expansion of (log PI) in n 10.753 * [taylor]: Taking taylor expansion of PI in n 10.753 * [backup-simplify]: Simplify PI into PI 10.753 * [backup-simplify]: Simplify (log PI) into (log PI) 10.754 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.754 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 10.754 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) into (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) 10.754 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 10.754 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in k 10.754 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 10.754 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 10.754 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 10.754 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.754 * [taylor]: Taking taylor expansion of 0.5 in k 10.754 * [backup-simplify]: Simplify 0.5 into 0.5 10.754 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.754 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.754 * [taylor]: Taking taylor expansion of k in k 10.754 * [backup-simplify]: Simplify 0 into 0 10.755 * [backup-simplify]: Simplify 1 into 1 10.755 * [backup-simplify]: Simplify (/ 1 1) into 1 10.755 * [taylor]: Taking taylor expansion of 1.0 in k 10.755 * [backup-simplify]: Simplify 1.0 into 1.0 10.755 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 10.755 * [taylor]: Taking taylor expansion of (/ -1 n) in k 10.755 * [taylor]: Taking taylor expansion of -1 in k 10.755 * [backup-simplify]: Simplify -1 into -1 10.755 * [taylor]: Taking taylor expansion of n in k 10.755 * [backup-simplify]: Simplify n into n 10.755 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 10.755 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 10.761 * [backup-simplify]: Simplify (+ 1 0) into 1 10.761 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.761 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 10.762 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 10.762 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 10.762 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 10.762 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 10.762 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 10.762 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.762 * [taylor]: Taking taylor expansion of 0.5 in k 10.762 * [backup-simplify]: Simplify 0.5 into 0.5 10.762 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.762 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.762 * [taylor]: Taking taylor expansion of k in k 10.762 * [backup-simplify]: Simplify 0 into 0 10.762 * [backup-simplify]: Simplify 1 into 1 10.762 * [backup-simplify]: Simplify (/ 1 1) into 1 10.762 * [taylor]: Taking taylor expansion of 1.0 in k 10.762 * [backup-simplify]: Simplify 1.0 into 1.0 10.762 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.762 * [taylor]: Taking taylor expansion of 2.0 in k 10.762 * [backup-simplify]: Simplify 2.0 into 2.0 10.763 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.763 * [backup-simplify]: Simplify (+ 1 0) into 1 10.763 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.764 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 10.764 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 10.764 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 10.764 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 10.764 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 10.764 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.764 * [taylor]: Taking taylor expansion of 0.5 in k 10.764 * [backup-simplify]: Simplify 0.5 into 0.5 10.764 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.764 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.764 * [taylor]: Taking taylor expansion of k in k 10.764 * [backup-simplify]: Simplify 0 into 0 10.764 * [backup-simplify]: Simplify 1 into 1 10.764 * [backup-simplify]: Simplify (/ 1 1) into 1 10.764 * [taylor]: Taking taylor expansion of 1.0 in k 10.765 * [backup-simplify]: Simplify 1.0 into 1.0 10.765 * [taylor]: Taking taylor expansion of (log PI) in k 10.765 * [taylor]: Taking taylor expansion of PI in k 10.765 * [backup-simplify]: Simplify PI into PI 10.765 * [backup-simplify]: Simplify (log PI) into (log PI) 10.765 * [backup-simplify]: Simplify (+ 1 0) into 1 10.765 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.766 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 10.766 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 10.766 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in k 10.766 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 10.766 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 10.766 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 10.766 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.766 * [taylor]: Taking taylor expansion of 0.5 in k 10.766 * [backup-simplify]: Simplify 0.5 into 0.5 10.766 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.767 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.767 * [taylor]: Taking taylor expansion of k in k 10.767 * [backup-simplify]: Simplify 0 into 0 10.767 * [backup-simplify]: Simplify 1 into 1 10.767 * [backup-simplify]: Simplify (/ 1 1) into 1 10.767 * [taylor]: Taking taylor expansion of 1.0 in k 10.767 * [backup-simplify]: Simplify 1.0 into 1.0 10.767 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 10.767 * [taylor]: Taking taylor expansion of (/ -1 n) in k 10.767 * [taylor]: Taking taylor expansion of -1 in k 10.767 * [backup-simplify]: Simplify -1 into -1 10.767 * [taylor]: Taking taylor expansion of n in k 10.767 * [backup-simplify]: Simplify n into n 10.767 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 10.767 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 10.767 * [backup-simplify]: Simplify (+ 1 0) into 1 10.768 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.768 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 10.768 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 10.768 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 10.768 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 10.768 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 10.768 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 10.768 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.768 * [taylor]: Taking taylor expansion of 0.5 in k 10.768 * [backup-simplify]: Simplify 0.5 into 0.5 10.768 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.768 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.768 * [taylor]: Taking taylor expansion of k in k 10.768 * [backup-simplify]: Simplify 0 into 0 10.768 * [backup-simplify]: Simplify 1 into 1 10.768 * [backup-simplify]: Simplify (/ 1 1) into 1 10.768 * [taylor]: Taking taylor expansion of 1.0 in k 10.768 * [backup-simplify]: Simplify 1.0 into 1.0 10.768 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.768 * [taylor]: Taking taylor expansion of 2.0 in k 10.768 * [backup-simplify]: Simplify 2.0 into 2.0 10.769 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.769 * [backup-simplify]: Simplify (+ 1 0) into 1 10.769 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.770 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 10.770 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 10.770 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 10.770 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 10.770 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 10.770 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.770 * [taylor]: Taking taylor expansion of 0.5 in k 10.770 * [backup-simplify]: Simplify 0.5 into 0.5 10.770 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.770 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.770 * [taylor]: Taking taylor expansion of k in k 10.770 * [backup-simplify]: Simplify 0 into 0 10.770 * [backup-simplify]: Simplify 1 into 1 10.770 * [backup-simplify]: Simplify (/ 1 1) into 1 10.771 * [taylor]: Taking taylor expansion of 1.0 in k 10.771 * [backup-simplify]: Simplify 1.0 into 1.0 10.771 * [taylor]: Taking taylor expansion of (log PI) in k 10.771 * [taylor]: Taking taylor expansion of PI in k 10.771 * [backup-simplify]: Simplify PI into PI 10.771 * [backup-simplify]: Simplify (log PI) into (log PI) 10.771 * [backup-simplify]: Simplify (+ 1 0) into 1 10.771 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.772 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 10.772 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 10.773 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 10.774 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 10.774 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) in n 10.774 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) in n 10.774 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) in n 10.774 * [taylor]: Taking taylor expansion of 0.5 in n 10.774 * [backup-simplify]: Simplify 0.5 into 0.5 10.774 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log PI)) in n 10.774 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.774 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.774 * [taylor]: Taking taylor expansion of k in n 10.774 * [backup-simplify]: Simplify k into k 10.774 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.774 * [taylor]: Taking taylor expansion of 1.0 in n 10.774 * [backup-simplify]: Simplify 1.0 into 1.0 10.774 * [taylor]: Taking taylor expansion of (log PI) in n 10.774 * [taylor]: Taking taylor expansion of PI in n 10.774 * [backup-simplify]: Simplify PI into PI 10.774 * [backup-simplify]: Simplify (log PI) into (log PI) 10.775 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.775 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (log PI)) into (* (+ (/ 1 k) 1.0) (log PI)) 10.775 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) into (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) 10.776 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 10.776 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) in n 10.776 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 10.776 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 10.776 * [taylor]: Taking taylor expansion of 0.5 in n 10.776 * [backup-simplify]: Simplify 0.5 into 0.5 10.776 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 10.776 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.776 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.776 * [taylor]: Taking taylor expansion of k in n 10.776 * [backup-simplify]: Simplify k into k 10.776 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.776 * [taylor]: Taking taylor expansion of 1.0 in n 10.776 * [backup-simplify]: Simplify 1.0 into 1.0 10.776 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 10.776 * [taylor]: Taking taylor expansion of (/ -1 n) in n 10.776 * [taylor]: Taking taylor expansion of -1 in n 10.776 * [backup-simplify]: Simplify -1 into -1 10.776 * [taylor]: Taking taylor expansion of n in n 10.776 * [backup-simplify]: Simplify 0 into 0 10.776 * [backup-simplify]: Simplify 1 into 1 10.776 * [backup-simplify]: Simplify (/ -1 1) into -1 10.776 * [backup-simplify]: Simplify (log -1) into (log -1) 10.777 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.777 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.777 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 10.778 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 10.778 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 10.778 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) in n 10.778 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) in n 10.778 * [taylor]: Taking taylor expansion of 0.5 in n 10.778 * [backup-simplify]: Simplify 0.5 into 0.5 10.778 * [taylor]: Taking taylor expansion of (* (log 2.0) (+ (/ 1 k) 1.0)) in n 10.778 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.778 * [taylor]: Taking taylor expansion of 2.0 in n 10.778 * [backup-simplify]: Simplify 2.0 into 2.0 10.779 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.779 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.779 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.779 * [taylor]: Taking taylor expansion of k in n 10.779 * [backup-simplify]: Simplify k into k 10.779 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.779 * [taylor]: Taking taylor expansion of 1.0 in n 10.779 * [backup-simplify]: Simplify 1.0 into 1.0 10.779 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.779 * [backup-simplify]: Simplify (* (log 2.0) (+ (/ 1 k) 1.0)) into (* (log 2.0) (+ (/ 1 k) 1.0)) 10.779 * [backup-simplify]: Simplify (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) 10.780 * [backup-simplify]: Simplify (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 10.780 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 10.781 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 10.782 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 10.783 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))))) into 0 10.784 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (* 0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into 0 10.784 * [taylor]: Taking taylor expansion of 0 in n 10.784 * [backup-simplify]: Simplify 0 into 0 10.784 * [backup-simplify]: Simplify 0 into 0 10.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.785 * [backup-simplify]: Simplify (+ 0 0) into 0 10.786 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 10.786 * [backup-simplify]: Simplify (+ (* (log 2.0) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 10.787 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log 2.0) (+ (/ 1 k) 1.0)))) into 0 10.787 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.789 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 10.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.789 * [backup-simplify]: Simplify (+ 0 0) into 0 10.790 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.790 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 10.791 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 10.792 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.792 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into 0 10.793 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 10.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.794 * [backup-simplify]: Simplify (+ 0 0) into 0 10.794 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (log PI))) into 0 10.795 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (log PI)))) into 0 10.795 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.796 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 0) (* 0 (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into 0 10.797 * [backup-simplify]: Simplify 0 into 0 10.797 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))))) into 0 10.798 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into 0 10.799 * [taylor]: Taking taylor expansion of 0 in n 10.799 * [backup-simplify]: Simplify 0 into 0 10.799 * [backup-simplify]: Simplify 0 into 0 10.799 * [backup-simplify]: Simplify 0 into 0 10.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.799 * [backup-simplify]: Simplify (+ 0 0) into 0 10.801 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 10.801 * [backup-simplify]: Simplify (+ (* (log 2.0) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 10.802 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log 2.0) (+ (/ 1 k) 1.0))))) into 0 10.803 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.805 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 10.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.806 * [backup-simplify]: Simplify (+ 0 0) into 0 10.806 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.807 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 10.808 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into 0 10.809 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.810 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into 0 10.811 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 10.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.812 * [backup-simplify]: Simplify (+ 0 0) into 0 10.812 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 10.813 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (/ 1 k) 1.0) (log PI))))) into 0 10.814 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.816 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))))) into 0 10.816 * [backup-simplify]: Simplify 0 into 0 10.818 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))))))) into 0 10.820 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))))) into 0 10.820 * [taylor]: Taking taylor expansion of 0 in n 10.820 * [backup-simplify]: Simplify 0 into 0 10.820 * [backup-simplify]: Simplify 0 into 0 10.822 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))) into (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) 10.822 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 10.822 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 10.822 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 10.822 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 10.822 * [taylor]: Taking taylor expansion of 1.0 in k 10.822 * [backup-simplify]: Simplify 1.0 into 1.0 10.822 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.822 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.822 * [taylor]: Taking taylor expansion of k in k 10.822 * [backup-simplify]: Simplify 0 into 0 10.822 * [backup-simplify]: Simplify 1 into 1 10.823 * [backup-simplify]: Simplify (/ 1 1) into 1 10.823 * [backup-simplify]: Simplify (sqrt 0) into 0 10.825 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.825 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 10.825 * [taylor]: Taking taylor expansion of 1.0 in k 10.825 * [backup-simplify]: Simplify 1.0 into 1.0 10.825 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.825 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.825 * [taylor]: Taking taylor expansion of k in k 10.825 * [backup-simplify]: Simplify 0 into 0 10.825 * [backup-simplify]: Simplify 1 into 1 10.825 * [backup-simplify]: Simplify (/ 1 1) into 1 10.826 * [backup-simplify]: Simplify (sqrt 0) into 0 10.827 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.828 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.828 * [backup-simplify]: Simplify 0 into 0 10.829 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 10.830 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.833 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.835 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 10.836 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.843 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 10.843 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.844 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 10.844 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 10.844 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 10.844 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 10.844 * [taylor]: Taking taylor expansion of 1.0 in k 10.844 * [backup-simplify]: Simplify 1.0 into 1.0 10.844 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.844 * [taylor]: Taking taylor expansion of k in k 10.845 * [backup-simplify]: Simplify 0 into 0 10.845 * [backup-simplify]: Simplify 1 into 1 10.845 * [backup-simplify]: Simplify (sqrt 0) into 0 10.846 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.846 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 10.846 * [taylor]: Taking taylor expansion of 1.0 in k 10.846 * [backup-simplify]: Simplify 1.0 into 1.0 10.846 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.846 * [taylor]: Taking taylor expansion of k in k 10.846 * [backup-simplify]: Simplify 0 into 0 10.846 * [backup-simplify]: Simplify 1 into 1 10.847 * [backup-simplify]: Simplify (sqrt 0) into 0 10.848 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.848 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.848 * [backup-simplify]: Simplify 0 into 0 10.850 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 10.850 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.853 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.855 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 10.855 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.859 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.862 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 10.862 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.864 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 10.864 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 10.864 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 10.864 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 10.864 * [taylor]: Taking taylor expansion of 1.0 in k 10.864 * [backup-simplify]: Simplify 1.0 into 1.0 10.864 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.864 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.864 * [taylor]: Taking taylor expansion of -1 in k 10.864 * [backup-simplify]: Simplify -1 into -1 10.864 * [taylor]: Taking taylor expansion of k in k 10.864 * [backup-simplify]: Simplify 0 into 0 10.864 * [backup-simplify]: Simplify 1 into 1 10.865 * [backup-simplify]: Simplify (/ -1 1) into -1 10.865 * [backup-simplify]: Simplify (sqrt 0) into 0 10.866 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.867 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 10.867 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 10.867 * [taylor]: Taking taylor expansion of 1.0 in k 10.867 * [backup-simplify]: Simplify 1.0 into 1.0 10.867 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.867 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.867 * [taylor]: Taking taylor expansion of -1 in k 10.867 * [backup-simplify]: Simplify -1 into -1 10.867 * [taylor]: Taking taylor expansion of k in k 10.867 * [backup-simplify]: Simplify 0 into 0 10.867 * [backup-simplify]: Simplify 1 into 1 10.867 * [backup-simplify]: Simplify (/ -1 1) into -1 10.868 * [backup-simplify]: Simplify (sqrt 0) into 0 10.868 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.869 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 10.869 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.871 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.882 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 10.882 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.885 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.888 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 10.888 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.889 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 10.889 * * * [progress]: simplifying candidates 10.892 * [simplify]: Simplifying: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI 1) (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (log1p (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* 2.0 PI) n) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0)))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (* 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(/ (- 1.0 k) 2.0)))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0))) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (pow PI (/ k 2.0)) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (pow 2.0 (/ k 2.0)) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow 1 (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) 1) (* (* (pow 2.0 (/ 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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) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log 2.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (* 0.25 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.25 (* (* (pow k 2) (* (log n) (log PI))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))))) (+ (* 0.5 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (* k (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))) (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (* (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 10.897 * * [simplify]: Extracting # 0 : cost 0 10.898 * * [simplify]: Extracting # 1 : cost 0 10.898 * * [simplify]: Extracting # 2 : cost 0 10.898 * * [simplify]: Extracting # 3 : cost 0 10.899 * * [simplify]: Extracting # 4 : cost 0 10.900 * * [simplify]: Extracting # 5 : cost 0 10.900 * * [simplify]: Extracting # 6 : cost 0 10.901 * * [simplify]: Extracting # 7 : cost 0 10.902 * * [simplify]: Extracting # 8 : cost 0 10.902 * * [simplify]: Extracting # 9 : cost 0 10.903 * * [simplify]: Extracting # 10 : cost 0 10.904 * * [simplify]: Extracting # 11 : cost 0 10.904 * * [simplify]: Extracting # 12 : cost 0 10.905 * * [simplify]: Extracting # 13 : cost 0 10.906 * * [simplify]: Extracting # 14 : cost 0 10.906 * * [simplify]: Extracting # 15 : cost 0 10.907 * * [simplify]: iteration 0 : 367 enodes (cost 3160 ) 11.096 * * [simplify]: Extracting # 0 : cost 0 11.098 * * [simplify]: Extracting # 1 : cost 0 11.107 * * [simplify]: Extracting # 2 : cost 0 11.110 * * [simplify]: Extracting # 3 : cost 0 11.113 * * [simplify]: Extracting # 4 : cost 0 11.116 * * [simplify]: iteration 1 : 1052 enodes (cost 2810 ) 11.669 * * [simplify]: Extracting # 0 : cost 0 11.674 * * [simplify]: Extracting # 1 : cost 0 11.681 * * [simplify]: Extracting # 2 : cost 0 11.690 * * [simplify]: Extracting # 3 : cost 0 11.701 * * [simplify]: Extracting # 4 : cost 0 11.713 * * [simplify]: Extracting # 5 : cost 0 11.725 * * [simplify]: Extracting # 6 : cost 0 11.743 * * [simplify]: iteration 2 : 4277 enodes (cost 2450 ) 13.007 * * [simplify]: Extracting # 0 : cost 0 13.015 * * [simplify]: Extracting # 1 : cost 0 13.022 * * [simplify]: Extracting # 2 : cost 0 13.036 * * [simplify]: Extracting # 3 : cost 0 13.050 * * [simplify]: Extracting # 4 : cost 0 13.058 * * [simplify]: iteration done: 5000 enodes (cost 2440 ) 13.064 * [simplify]: Simplified to: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (sqrt (- 1.0 k))) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (+ (sqrt 1.0) (sqrt k))) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI PI (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) 1 (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (pow (pow PI (/ (- 1.0 k) 2.0)) 3) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (log1p (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* 2.0 PI) n) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (exp (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) 3) (pow (pow n (/ (- 1.0 k) 2.0)) 3)) (* (pow (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) 3) (pow (pow n (/ (- 1.0 k) 2.0)) 3)) (* (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (sqrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0))) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (pow PI (/ k 2.0)) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (pow 2.0 (/ k 2.0)) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (/ (pow 1.0 3) k) (sqrt k)) (* (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))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (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) (- (fma 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5)) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* (* -0.5 (- 1.0 k)) (- (log n)))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (fma 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5)) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (fma 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma 0.25 (* (* (pow k 2) (* (log 2.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.25 (* (pow k 2) (* (log 2.0) (log PI)))) (* 0.125 (* (pow k 2) (pow (log 2.0) 2)))) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* (pow k 2) (pow (log n) 2)) 0.125 (* 0.25 (* (pow k 2) (* (log n) (log PI))))) (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5))) (* 0.5 (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma k (log PI) (* k (log n))) (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) (exp (fma 0.5 (fma (log 2.0) (- 1.0 k) (* (- 1.0 k) (log PI))) (* (* -0.5 (- 1.0 k)) (- (log n))))) (exp (fma 0.5 (fma (log 2.0) (- 1.0 k) (* (- 1.0 k) (log PI))) (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))))) (fma (- k) +nan.0 (fma (pow k 2) +nan.0 (- +nan.0))) (+ (- (/ +nan.0 (pow k 2))) (- (/ +nan.0 k) (/ +nan.0 (pow k 3)))) (+ (- (/ +nan.0 k) +nan.0) (- (/ +nan.0 (pow k 2)))) 13.065 * * * [progress]: adding candidates to table 13.863 * * [progress]: iteration 4 / 4 13.863 * * * [progress]: picking best candidate 13.901 * * * * [pick]: Picked # 13.901 * * * [progress]: localizing error 13.931 * * * [progress]: generating rewritten candidates 13.931 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 13.939 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 13.952 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 14.015 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 14.036 * * * [progress]: generating series expansions 14.037 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 14.037 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 14.037 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 14.037 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 14.037 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 14.037 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 14.037 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 14.037 * [taylor]: Taking taylor expansion of 0.5 in k 14.037 * [backup-simplify]: Simplify 0.5 into 0.5 14.037 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.037 * [taylor]: Taking taylor expansion of 1.0 in k 14.037 * [backup-simplify]: Simplify 1.0 into 1.0 14.037 * [taylor]: Taking taylor expansion of k in k 14.037 * [backup-simplify]: Simplify 0 into 0 14.037 * [backup-simplify]: Simplify 1 into 1 14.037 * [taylor]: Taking taylor expansion of (log n) in k 14.037 * [taylor]: Taking taylor expansion of n in k 14.037 * [backup-simplify]: Simplify n into n 14.037 * [backup-simplify]: Simplify (log n) into (log n) 14.038 * [backup-simplify]: Simplify (- 0) into 0 14.039 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.039 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 14.039 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 14.039 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 14.039 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 14.039 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 14.039 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 14.039 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 14.039 * [taylor]: Taking taylor expansion of 0.5 in n 14.039 * [backup-simplify]: Simplify 0.5 into 0.5 14.040 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 14.040 * [taylor]: Taking taylor expansion of 1.0 in n 14.040 * [backup-simplify]: Simplify 1.0 into 1.0 14.040 * [taylor]: Taking taylor expansion of k in n 14.040 * [backup-simplify]: Simplify k into k 14.040 * [taylor]: Taking taylor expansion of (log n) in n 14.040 * [taylor]: Taking taylor expansion of n in n 14.040 * [backup-simplify]: Simplify 0 into 0 14.040 * [backup-simplify]: Simplify 1 into 1 14.040 * [backup-simplify]: Simplify (log 1) into 0 14.040 * [backup-simplify]: Simplify (- k) into (- k) 14.040 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 14.040 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 14.041 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.041 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 14.041 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 14.041 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 14.041 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 14.041 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 14.041 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 14.041 * [taylor]: Taking taylor expansion of 0.5 in n 14.041 * [backup-simplify]: Simplify 0.5 into 0.5 14.041 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 14.041 * [taylor]: Taking taylor expansion of 1.0 in n 14.041 * [backup-simplify]: Simplify 1.0 into 1.0 14.041 * [taylor]: Taking taylor expansion of k in n 14.041 * [backup-simplify]: Simplify k into k 14.041 * [taylor]: Taking taylor expansion of (log n) in n 14.041 * [taylor]: Taking taylor expansion of n in n 14.041 * [backup-simplify]: Simplify 0 into 0 14.041 * [backup-simplify]: Simplify 1 into 1 14.042 * [backup-simplify]: Simplify (log 1) into 0 14.042 * [backup-simplify]: Simplify (- k) into (- k) 14.042 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 14.042 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 14.042 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.042 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 14.042 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 14.043 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 14.043 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 14.043 * [taylor]: Taking taylor expansion of 0.5 in k 14.043 * [backup-simplify]: Simplify 0.5 into 0.5 14.043 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 14.043 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.043 * [taylor]: Taking taylor expansion of 1.0 in k 14.043 * [backup-simplify]: Simplify 1.0 into 1.0 14.043 * [taylor]: Taking taylor expansion of k in k 14.043 * [backup-simplify]: Simplify 0 into 0 14.043 * [backup-simplify]: Simplify 1 into 1 14.043 * [taylor]: Taking taylor expansion of (log n) in k 14.043 * [taylor]: Taking taylor expansion of n in k 14.043 * [backup-simplify]: Simplify n into n 14.043 * [backup-simplify]: Simplify (log n) into (log n) 14.043 * [backup-simplify]: Simplify (- 0) into 0 14.044 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.044 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 14.044 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 14.044 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 14.044 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 14.045 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.046 * [backup-simplify]: Simplify (- 0) into 0 14.046 * [backup-simplify]: Simplify (+ 0 0) into 0 14.046 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 14.047 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.047 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 14.048 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.048 * [taylor]: Taking taylor expansion of 0 in k 14.048 * [backup-simplify]: Simplify 0 into 0 14.048 * [backup-simplify]: Simplify 0 into 0 14.049 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 14.049 * [backup-simplify]: Simplify (- 1) into -1 14.050 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.050 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 14.050 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 14.051 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 14.051 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 14.054 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 14.054 * [backup-simplify]: Simplify (- 0) into 0 14.054 * [backup-simplify]: Simplify (+ 0 0) into 0 14.055 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 14.055 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.056 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 14.057 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.057 * [taylor]: Taking taylor expansion of 0 in k 14.057 * [backup-simplify]: Simplify 0 into 0 14.057 * [backup-simplify]: Simplify 0 into 0 14.057 * [backup-simplify]: Simplify 0 into 0 14.059 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 14.060 * [backup-simplify]: Simplify (- 0) into 0 14.060 * [backup-simplify]: Simplify (+ 0 0) into 0 14.061 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 14.061 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 14.062 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 14.063 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 14.064 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 14.064 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 14.064 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 14.064 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 14.064 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 14.064 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 14.064 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 14.064 * [taylor]: Taking taylor expansion of 0.5 in k 14.064 * [backup-simplify]: Simplify 0.5 into 0.5 14.064 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 14.064 * [taylor]: Taking taylor expansion of 1.0 in k 14.064 * [backup-simplify]: Simplify 1.0 into 1.0 14.064 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.064 * [taylor]: Taking taylor expansion of k in k 14.064 * [backup-simplify]: Simplify 0 into 0 14.064 * [backup-simplify]: Simplify 1 into 1 14.065 * [backup-simplify]: Simplify (/ 1 1) into 1 14.065 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 14.065 * [taylor]: Taking taylor expansion of (/ 1 n) in k 14.065 * [taylor]: Taking taylor expansion of n in k 14.065 * [backup-simplify]: Simplify n into n 14.065 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.065 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 14.065 * [backup-simplify]: Simplify (- 1) into -1 14.066 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.066 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 14.066 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 14.066 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 14.066 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 14.066 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 14.066 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 14.066 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 14.066 * [taylor]: Taking taylor expansion of 0.5 in n 14.066 * [backup-simplify]: Simplify 0.5 into 0.5 14.066 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 14.066 * [taylor]: Taking taylor expansion of 1.0 in n 14.066 * [backup-simplify]: Simplify 1.0 into 1.0 14.066 * [taylor]: Taking taylor expansion of (/ 1 k) in n 14.067 * [taylor]: Taking taylor expansion of k in n 14.067 * [backup-simplify]: Simplify k into k 14.067 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 14.067 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 14.067 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.067 * [taylor]: Taking taylor expansion of n in n 14.067 * [backup-simplify]: Simplify 0 into 0 14.067 * [backup-simplify]: Simplify 1 into 1 14.067 * [backup-simplify]: Simplify (/ 1 1) into 1 14.067 * [backup-simplify]: Simplify (log 1) into 0 14.067 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 14.068 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 14.068 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 14.068 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 14.068 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 14.068 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 14.068 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 14.068 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 14.068 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 14.069 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 14.069 * [taylor]: Taking taylor expansion of 0.5 in n 14.069 * [backup-simplify]: Simplify 0.5 into 0.5 14.069 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 14.069 * [taylor]: Taking taylor expansion of 1.0 in n 14.069 * [backup-simplify]: Simplify 1.0 into 1.0 14.069 * [taylor]: Taking taylor expansion of (/ 1 k) in n 14.069 * [taylor]: Taking taylor expansion of k in n 14.069 * [backup-simplify]: Simplify k into k 14.069 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 14.069 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 14.069 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.069 * [taylor]: Taking taylor expansion of n in n 14.069 * [backup-simplify]: Simplify 0 into 0 14.069 * [backup-simplify]: Simplify 1 into 1 14.069 * [backup-simplify]: Simplify (/ 1 1) into 1 14.070 * [backup-simplify]: Simplify (log 1) into 0 14.070 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 14.070 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 14.070 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 14.070 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 14.070 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 14.071 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 14.071 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 14.071 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 14.071 * [taylor]: Taking taylor expansion of -0.5 in k 14.071 * [backup-simplify]: Simplify -0.5 into -0.5 14.071 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 14.071 * [taylor]: Taking taylor expansion of (log n) in k 14.071 * [taylor]: Taking taylor expansion of n in k 14.071 * [backup-simplify]: Simplify n into n 14.071 * [backup-simplify]: Simplify (log n) into (log n) 14.071 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 14.071 * [taylor]: Taking taylor expansion of 1.0 in k 14.071 * [backup-simplify]: Simplify 1.0 into 1.0 14.071 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.071 * [taylor]: Taking taylor expansion of k in k 14.071 * [backup-simplify]: Simplify 0 into 0 14.071 * [backup-simplify]: Simplify 1 into 1 14.071 * [backup-simplify]: Simplify (/ 1 1) into 1 14.072 * [backup-simplify]: Simplify (- 1) into -1 14.072 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.072 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 14.072 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 14.072 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 14.073 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 14.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.074 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 14.075 * [backup-simplify]: Simplify (- 0) into 0 14.075 * [backup-simplify]: Simplify (+ 0 0) into 0 14.076 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 14.076 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 14.076 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 14.077 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 14.077 * [taylor]: Taking taylor expansion of 0 in k 14.077 * [backup-simplify]: Simplify 0 into 0 14.077 * [backup-simplify]: Simplify 0 into 0 14.077 * [backup-simplify]: Simplify 0 into 0 14.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.080 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 14.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 14.081 * [backup-simplify]: Simplify (- 0) into 0 14.081 * [backup-simplify]: Simplify (+ 0 0) into 0 14.082 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 14.082 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 14.083 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 14.084 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.084 * [taylor]: Taking taylor expansion of 0 in k 14.084 * [backup-simplify]: Simplify 0 into 0 14.084 * [backup-simplify]: Simplify 0 into 0 14.084 * [backup-simplify]: Simplify 0 into 0 14.084 * [backup-simplify]: Simplify 0 into 0 14.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.097 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 14.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 14.099 * [backup-simplify]: Simplify (- 0) into 0 14.099 * [backup-simplify]: Simplify (+ 0 0) into 0 14.101 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 14.101 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 14.102 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 14.104 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.104 * [taylor]: Taking taylor expansion of 0 in k 14.104 * [backup-simplify]: Simplify 0 into 0 14.104 * [backup-simplify]: Simplify 0 into 0 14.104 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 14.105 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 14.105 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 14.105 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 14.105 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 14.105 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 14.105 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 14.105 * [taylor]: Taking taylor expansion of 0.5 in k 14.105 * [backup-simplify]: Simplify 0.5 into 0.5 14.105 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 14.105 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.105 * [taylor]: Taking taylor expansion of k in k 14.105 * [backup-simplify]: Simplify 0 into 0 14.105 * [backup-simplify]: Simplify 1 into 1 14.105 * [backup-simplify]: Simplify (/ 1 1) into 1 14.105 * [taylor]: Taking taylor expansion of 1.0 in k 14.105 * [backup-simplify]: Simplify 1.0 into 1.0 14.106 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 14.106 * [taylor]: Taking taylor expansion of (/ -1 n) in k 14.106 * [taylor]: Taking taylor expansion of -1 in k 14.106 * [backup-simplify]: Simplify -1 into -1 14.106 * [taylor]: Taking taylor expansion of n in k 14.106 * [backup-simplify]: Simplify n into n 14.106 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 14.106 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 14.106 * [backup-simplify]: Simplify (+ 1 0) into 1 14.107 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 14.107 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 14.107 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 14.107 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 14.107 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 14.107 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 14.107 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 14.107 * [taylor]: Taking taylor expansion of 0.5 in n 14.107 * [backup-simplify]: Simplify 0.5 into 0.5 14.107 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 14.107 * [taylor]: Taking taylor expansion of (/ 1 k) in n 14.107 * [taylor]: Taking taylor expansion of k in n 14.107 * [backup-simplify]: Simplify k into k 14.107 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 14.107 * [taylor]: Taking taylor expansion of 1.0 in n 14.107 * [backup-simplify]: Simplify 1.0 into 1.0 14.108 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 14.108 * [taylor]: Taking taylor expansion of (/ -1 n) in n 14.108 * [taylor]: Taking taylor expansion of -1 in n 14.108 * [backup-simplify]: Simplify -1 into -1 14.108 * [taylor]: Taking taylor expansion of n in n 14.108 * [backup-simplify]: Simplify 0 into 0 14.108 * [backup-simplify]: Simplify 1 into 1 14.108 * [backup-simplify]: Simplify (/ -1 1) into -1 14.109 * [backup-simplify]: Simplify (log -1) into (log -1) 14.109 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 14.109 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 14.110 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 14.110 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 14.111 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 14.111 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 14.111 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 14.111 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 14.111 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 14.111 * [taylor]: Taking taylor expansion of 0.5 in n 14.111 * [backup-simplify]: Simplify 0.5 into 0.5 14.111 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 14.111 * [taylor]: Taking taylor expansion of (/ 1 k) in n 14.111 * [taylor]: Taking taylor expansion of k in n 14.111 * [backup-simplify]: Simplify k into k 14.111 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 14.111 * [taylor]: Taking taylor expansion of 1.0 in n 14.111 * [backup-simplify]: Simplify 1.0 into 1.0 14.111 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 14.111 * [taylor]: Taking taylor expansion of (/ -1 n) in n 14.111 * [taylor]: Taking taylor expansion of -1 in n 14.111 * [backup-simplify]: Simplify -1 into -1 14.111 * [taylor]: Taking taylor expansion of n in n 14.111 * [backup-simplify]: Simplify 0 into 0 14.112 * [backup-simplify]: Simplify 1 into 1 14.112 * [backup-simplify]: Simplify (/ -1 1) into -1 14.112 * [backup-simplify]: Simplify (log -1) into (log -1) 14.112 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 14.113 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 14.113 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 14.114 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 14.115 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 14.115 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 14.115 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 14.115 * [taylor]: Taking taylor expansion of 0.5 in k 14.115 * [backup-simplify]: Simplify 0.5 into 0.5 14.115 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 14.115 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 14.115 * [taylor]: Taking taylor expansion of (log -1) in k 14.115 * [taylor]: Taking taylor expansion of -1 in k 14.115 * [backup-simplify]: Simplify -1 into -1 14.115 * [backup-simplify]: Simplify (log -1) into (log -1) 14.115 * [taylor]: Taking taylor expansion of (log n) in k 14.115 * [taylor]: Taking taylor expansion of n in k 14.115 * [backup-simplify]: Simplify n into n 14.116 * [backup-simplify]: Simplify (log n) into (log n) 14.116 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 14.116 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.116 * [taylor]: Taking taylor expansion of k in k 14.116 * [backup-simplify]: Simplify 0 into 0 14.116 * [backup-simplify]: Simplify 1 into 1 14.116 * [backup-simplify]: Simplify (/ 1 1) into 1 14.116 * [taylor]: Taking taylor expansion of 1.0 in k 14.116 * [backup-simplify]: Simplify 1.0 into 1.0 14.116 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 14.117 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 14.117 * [backup-simplify]: Simplify (+ 1 0) into 1 14.118 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 14.118 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 14.119 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 14.119 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 14.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.122 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 14.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 14.122 * [backup-simplify]: Simplify (+ 0 0) into 0 14.123 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 14.124 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 14.124 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 14.126 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.126 * [taylor]: Taking taylor expansion of 0 in k 14.126 * [backup-simplify]: Simplify 0 into 0 14.126 * [backup-simplify]: Simplify 0 into 0 14.126 * [backup-simplify]: Simplify 0 into 0 14.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.130 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 14.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 14.130 * [backup-simplify]: Simplify (+ 0 0) into 0 14.131 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 14.132 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 14.133 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 14.135 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.135 * [taylor]: Taking taylor expansion of 0 in k 14.135 * [backup-simplify]: Simplify 0 into 0 14.135 * [backup-simplify]: Simplify 0 into 0 14.135 * [backup-simplify]: Simplify 0 into 0 14.135 * [backup-simplify]: Simplify 0 into 0 14.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.142 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 14.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 14.143 * [backup-simplify]: Simplify (+ 0 0) into 0 14.144 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 14.145 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 14.146 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 14.149 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.149 * [taylor]: Taking taylor expansion of 0 in k 14.149 * [backup-simplify]: Simplify 0 into 0 14.149 * [backup-simplify]: Simplify 0 into 0 14.150 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 14.150 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 14.151 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 14.151 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 14.151 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 14.151 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 14.151 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 14.151 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 14.151 * [taylor]: Taking taylor expansion of 0.5 in k 14.151 * [backup-simplify]: Simplify 0.5 into 0.5 14.151 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.151 * [taylor]: Taking taylor expansion of 1.0 in k 14.151 * [backup-simplify]: Simplify 1.0 into 1.0 14.151 * [taylor]: Taking taylor expansion of k in k 14.151 * [backup-simplify]: Simplify 0 into 0 14.151 * [backup-simplify]: Simplify 1 into 1 14.151 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 14.151 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 14.151 * [taylor]: Taking taylor expansion of 2.0 in k 14.151 * [backup-simplify]: Simplify 2.0 into 2.0 14.151 * [taylor]: Taking taylor expansion of PI in k 14.152 * [backup-simplify]: Simplify PI into PI 14.152 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 14.153 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 14.154 * [backup-simplify]: Simplify (- 0) into 0 14.154 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.154 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 14.156 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 14.158 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 14.158 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 14.158 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 14.158 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 14.158 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 14.158 * [taylor]: Taking taylor expansion of 0.5 in k 14.158 * [backup-simplify]: Simplify 0.5 into 0.5 14.158 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.158 * [taylor]: Taking taylor expansion of 1.0 in k 14.158 * [backup-simplify]: Simplify 1.0 into 1.0 14.158 * [taylor]: Taking taylor expansion of k in k 14.158 * [backup-simplify]: Simplify 0 into 0 14.158 * [backup-simplify]: Simplify 1 into 1 14.158 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 14.158 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 14.158 * [taylor]: Taking taylor expansion of 2.0 in k 14.158 * [backup-simplify]: Simplify 2.0 into 2.0 14.158 * [taylor]: Taking taylor expansion of PI in k 14.158 * [backup-simplify]: Simplify PI into PI 14.158 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 14.159 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 14.159 * [backup-simplify]: Simplify (- 0) into 0 14.159 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.160 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 14.161 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 14.162 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 14.163 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 14.164 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 14.165 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 14.165 * [backup-simplify]: Simplify (- 1) into -1 14.165 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.166 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 14.168 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 14.176 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 14.181 * [backup-simplify]: Simplify (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 14.182 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 14.184 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 14.184 * [backup-simplify]: Simplify (- 0) into 0 14.184 * [backup-simplify]: Simplify (+ 0 0) into 0 14.185 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 14.186 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 14.196 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 14.207 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 14.218 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow k 2)) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 14.218 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 14.218 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 14.218 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 14.218 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 14.218 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 14.218 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 14.218 * [taylor]: Taking taylor expansion of 0.5 in k 14.218 * [backup-simplify]: Simplify 0.5 into 0.5 14.218 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 14.218 * [taylor]: Taking taylor expansion of 1.0 in k 14.218 * [backup-simplify]: Simplify 1.0 into 1.0 14.218 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.218 * [taylor]: Taking taylor expansion of k in k 14.218 * [backup-simplify]: Simplify 0 into 0 14.218 * [backup-simplify]: Simplify 1 into 1 14.219 * [backup-simplify]: Simplify (/ 1 1) into 1 14.219 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 14.219 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 14.219 * [taylor]: Taking taylor expansion of 2.0 in k 14.219 * [backup-simplify]: Simplify 2.0 into 2.0 14.219 * [taylor]: Taking taylor expansion of PI in k 14.219 * [backup-simplify]: Simplify PI into PI 14.219 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 14.220 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 14.220 * [backup-simplify]: Simplify (- 1) into -1 14.228 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.229 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 14.231 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 14.233 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 14.233 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 14.233 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 14.233 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 14.233 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 14.233 * [taylor]: Taking taylor expansion of 0.5 in k 14.233 * [backup-simplify]: Simplify 0.5 into 0.5 14.233 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 14.233 * [taylor]: Taking taylor expansion of 1.0 in k 14.233 * [backup-simplify]: Simplify 1.0 into 1.0 14.233 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.233 * [taylor]: Taking taylor expansion of k in k 14.234 * [backup-simplify]: Simplify 0 into 0 14.234 * [backup-simplify]: Simplify 1 into 1 14.234 * [backup-simplify]: Simplify (/ 1 1) into 1 14.234 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 14.234 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 14.234 * [taylor]: Taking taylor expansion of 2.0 in k 14.234 * [backup-simplify]: Simplify 2.0 into 2.0 14.234 * [taylor]: Taking taylor expansion of PI in k 14.234 * [backup-simplify]: Simplify PI into PI 14.235 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 14.236 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 14.237 * [backup-simplify]: Simplify (- 1) into -1 14.237 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.238 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 14.239 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 14.241 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 14.242 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 14.242 * [backup-simplify]: Simplify 0 into 0 14.243 * [backup-simplify]: Simplify 0 into 0 14.243 * [backup-simplify]: Simplify 0 into 0 14.243 * [backup-simplify]: Simplify 0 into 0 14.243 * [backup-simplify]: Simplify 0 into 0 14.243 * [backup-simplify]: Simplify 0 into 0 14.244 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 14.245 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 14.245 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 14.245 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 14.245 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 14.245 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 14.245 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 14.245 * [taylor]: Taking taylor expansion of 0.5 in k 14.245 * [backup-simplify]: Simplify 0.5 into 0.5 14.245 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 14.245 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.245 * [taylor]: Taking taylor expansion of k in k 14.245 * [backup-simplify]: Simplify 0 into 0 14.245 * [backup-simplify]: Simplify 1 into 1 14.246 * [backup-simplify]: Simplify (/ 1 1) into 1 14.246 * [taylor]: Taking taylor expansion of 1.0 in k 14.246 * [backup-simplify]: Simplify 1.0 into 1.0 14.246 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 14.246 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 14.246 * [taylor]: Taking taylor expansion of 2.0 in k 14.246 * [backup-simplify]: Simplify 2.0 into 2.0 14.246 * [taylor]: Taking taylor expansion of PI in k 14.246 * [backup-simplify]: Simplify PI into PI 14.246 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 14.247 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 14.248 * [backup-simplify]: Simplify (+ 1 0) into 1 14.248 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 14.251 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 14.252 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 14.252 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 14.252 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 14.252 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 14.252 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 14.252 * [taylor]: Taking taylor expansion of 0.5 in k 14.252 * [backup-simplify]: Simplify 0.5 into 0.5 14.252 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 14.252 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.252 * [taylor]: Taking taylor expansion of k in k 14.252 * [backup-simplify]: Simplify 0 into 0 14.252 * [backup-simplify]: Simplify 1 into 1 14.253 * [backup-simplify]: Simplify (/ 1 1) into 1 14.253 * [taylor]: Taking taylor expansion of 1.0 in k 14.253 * [backup-simplify]: Simplify 1.0 into 1.0 14.253 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 14.253 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 14.253 * [taylor]: Taking taylor expansion of 2.0 in k 14.253 * [backup-simplify]: Simplify 2.0 into 2.0 14.253 * [taylor]: Taking taylor expansion of PI in k 14.253 * [backup-simplify]: Simplify PI into PI 14.253 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 14.254 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 14.255 * [backup-simplify]: Simplify (+ 1 0) into 1 14.255 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 14.257 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 14.258 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 14.260 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 14.260 * [backup-simplify]: Simplify 0 into 0 14.260 * [backup-simplify]: Simplify 0 into 0 14.260 * [backup-simplify]: Simplify 0 into 0 14.260 * [backup-simplify]: Simplify 0 into 0 14.260 * [backup-simplify]: Simplify 0 into 0 14.260 * [backup-simplify]: Simplify 0 into 0 14.261 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 14.261 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 14.262 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) 14.262 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 14.262 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 14.262 * [taylor]: Taking taylor expansion of 1.0 in k 14.262 * [backup-simplify]: Simplify 1.0 into 1.0 14.262 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 14.262 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 14.263 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.263 * [taylor]: Taking taylor expansion of k in k 14.263 * [backup-simplify]: Simplify 0 into 0 14.263 * [backup-simplify]: Simplify 1 into 1 14.263 * [backup-simplify]: Simplify (/ 1 1) into 1 14.263 * [backup-simplify]: Simplify (sqrt 0) into 0 14.265 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.265 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 14.265 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 14.265 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 14.265 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 14.265 * [taylor]: Taking taylor expansion of 0.5 in k 14.265 * [backup-simplify]: Simplify 0.5 into 0.5 14.265 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.265 * [taylor]: Taking taylor expansion of 1.0 in k 14.265 * [backup-simplify]: Simplify 1.0 into 1.0 14.265 * [taylor]: Taking taylor expansion of k in k 14.265 * [backup-simplify]: Simplify 0 into 0 14.265 * [backup-simplify]: Simplify 1 into 1 14.265 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 14.265 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 14.265 * [taylor]: Taking taylor expansion of 2.0 in k 14.265 * [backup-simplify]: Simplify 2.0 into 2.0 14.265 * [taylor]: Taking taylor expansion of PI in k 14.265 * [backup-simplify]: Simplify PI into PI 14.266 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 14.267 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 14.268 * [backup-simplify]: Simplify (- 0) into 0 14.268 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.269 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 14.271 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 14.273 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 14.273 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 14.273 * [taylor]: Taking taylor expansion of 1.0 in k 14.273 * [backup-simplify]: Simplify 1.0 into 1.0 14.273 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 14.273 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 14.273 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.273 * [taylor]: Taking taylor expansion of k in k 14.273 * [backup-simplify]: Simplify 0 into 0 14.273 * [backup-simplify]: Simplify 1 into 1 14.273 * [backup-simplify]: Simplify (/ 1 1) into 1 14.273 * [backup-simplify]: Simplify (sqrt 0) into 0 14.274 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.274 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 14.274 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 14.274 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 14.274 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 14.274 * [taylor]: Taking taylor expansion of 0.5 in k 14.274 * [backup-simplify]: Simplify 0.5 into 0.5 14.274 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.274 * [taylor]: Taking taylor expansion of 1.0 in k 14.274 * [backup-simplify]: Simplify 1.0 into 1.0 14.274 * [taylor]: Taking taylor expansion of k in k 14.274 * [backup-simplify]: Simplify 0 into 0 14.274 * [backup-simplify]: Simplify 1 into 1 14.274 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 14.274 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 14.274 * [taylor]: Taking taylor expansion of 2.0 in k 14.274 * [backup-simplify]: Simplify 2.0 into 2.0 14.274 * [taylor]: Taking taylor expansion of PI in k 14.274 * [backup-simplify]: Simplify PI into PI 14.275 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 14.275 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 14.276 * [backup-simplify]: Simplify (- 0) into 0 14.276 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.276 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 14.277 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 14.279 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 14.279 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 PI) 0.5)) into 0 14.280 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.280 * [backup-simplify]: Simplify 0 into 0 14.280 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 14.281 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 14.281 * [backup-simplify]: Simplify (- 1) into -1 14.282 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.282 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 14.285 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 14.296 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 14.303 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 14.313 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 14.319 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 14.320 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 14.323 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 14.324 * [backup-simplify]: Simplify (- 0) into 0 14.324 * [backup-simplify]: Simplify (+ 0 0) into 0 14.325 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 14.327 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 14.338 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 14.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.340 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.353 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 14.392 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 14.404 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 14.405 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.408 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 14.409 * [backup-simplify]: Simplify (- 0) into 0 14.409 * [backup-simplify]: Simplify (+ 0 0) into 0 14.410 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 14.411 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 14.422 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 14.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.425 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.447 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 14.494 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) 14.515 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 14.555 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) k) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) 14.555 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) 14.555 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 14.555 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 14.555 * [taylor]: Taking taylor expansion of 1.0 in k 14.555 * [backup-simplify]: Simplify 1.0 into 1.0 14.555 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 14.555 * [taylor]: Taking taylor expansion of (sqrt k) in k 14.555 * [taylor]: Taking taylor expansion of k in k 14.555 * [backup-simplify]: Simplify 0 into 0 14.555 * [backup-simplify]: Simplify 1 into 1 14.556 * [backup-simplify]: Simplify (sqrt 0) into 0 14.557 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.557 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 14.557 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 14.557 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 14.557 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 14.557 * [taylor]: Taking taylor expansion of 0.5 in k 14.557 * [backup-simplify]: Simplify 0.5 into 0.5 14.557 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 14.557 * [taylor]: Taking taylor expansion of 1.0 in k 14.557 * [backup-simplify]: Simplify 1.0 into 1.0 14.557 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.557 * [taylor]: Taking taylor expansion of k in k 14.557 * [backup-simplify]: Simplify 0 into 0 14.557 * [backup-simplify]: Simplify 1 into 1 14.557 * [backup-simplify]: Simplify (/ 1 1) into 1 14.557 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 14.557 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 14.557 * [taylor]: Taking taylor expansion of 2.0 in k 14.557 * [backup-simplify]: Simplify 2.0 into 2.0 14.557 * [taylor]: Taking taylor expansion of PI in k 14.557 * [backup-simplify]: Simplify PI into PI 14.557 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 14.558 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 14.558 * [backup-simplify]: Simplify (- 1) into -1 14.559 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.559 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 14.560 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 14.562 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 14.562 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 14.562 * [taylor]: Taking taylor expansion of 1.0 in k 14.562 * [backup-simplify]: Simplify 1.0 into 1.0 14.562 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 14.562 * [taylor]: Taking taylor expansion of (sqrt k) in k 14.562 * [taylor]: Taking taylor expansion of k in k 14.562 * [backup-simplify]: Simplify 0 into 0 14.562 * [backup-simplify]: Simplify 1 into 1 14.562 * [backup-simplify]: Simplify (sqrt 0) into 0 14.564 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.564 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 14.564 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 14.564 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 14.564 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 14.564 * [taylor]: Taking taylor expansion of 0.5 in k 14.564 * [backup-simplify]: Simplify 0.5 into 0.5 14.564 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 14.564 * [taylor]: Taking taylor expansion of 1.0 in k 14.564 * [backup-simplify]: Simplify 1.0 into 1.0 14.564 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.564 * [taylor]: Taking taylor expansion of k in k 14.564 * [backup-simplify]: Simplify 0 into 0 14.564 * [backup-simplify]: Simplify 1 into 1 14.564 * [backup-simplify]: Simplify (/ 1 1) into 1 14.564 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 14.564 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 14.564 * [taylor]: Taking taylor expansion of 2.0 in k 14.564 * [backup-simplify]: Simplify 2.0 into 2.0 14.564 * [taylor]: Taking taylor expansion of PI in k 14.564 * [backup-simplify]: Simplify PI into PI 14.565 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 14.566 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 14.566 * [backup-simplify]: Simplify (- 1) into -1 14.567 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.567 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 14.568 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 14.570 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 14.571 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 14.571 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.571 * [backup-simplify]: Simplify 0 into 0 14.582 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 14.584 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 14.586 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 14.589 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.591 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 14.594 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 14.595 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 14.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.601 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 14.605 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 14.606 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 14.610 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) 14.611 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 14.611 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 14.612 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 14.612 * [taylor]: Taking taylor expansion of 1.0 in k 14.612 * [backup-simplify]: Simplify 1.0 into 1.0 14.612 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 14.612 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 14.612 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 14.612 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 14.612 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 14.612 * [taylor]: Taking taylor expansion of 0.5 in k 14.612 * [backup-simplify]: Simplify 0.5 into 0.5 14.612 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 14.612 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.612 * [taylor]: Taking taylor expansion of k in k 14.612 * [backup-simplify]: Simplify 0 into 0 14.612 * [backup-simplify]: Simplify 1 into 1 14.612 * [backup-simplify]: Simplify (/ 1 1) into 1 14.612 * [taylor]: Taking taylor expansion of 1.0 in k 14.612 * [backup-simplify]: Simplify 1.0 into 1.0 14.612 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 14.612 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 14.612 * [taylor]: Taking taylor expansion of 2.0 in k 14.612 * [backup-simplify]: Simplify 2.0 into 2.0 14.613 * [taylor]: Taking taylor expansion of PI in k 14.613 * [backup-simplify]: Simplify PI into PI 14.613 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 14.614 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 14.614 * [backup-simplify]: Simplify (+ 1 0) into 1 14.615 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 14.617 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 14.618 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 14.618 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 14.618 * [taylor]: Taking taylor expansion of (/ -1 k) in k 14.618 * [taylor]: Taking taylor expansion of -1 in k 14.618 * [backup-simplify]: Simplify -1 into -1 14.618 * [taylor]: Taking taylor expansion of k in k 14.618 * [backup-simplify]: Simplify 0 into 0 14.618 * [backup-simplify]: Simplify 1 into 1 14.618 * [backup-simplify]: Simplify (/ -1 1) into -1 14.619 * [backup-simplify]: Simplify (sqrt 0) into 0 14.620 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 14.621 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 14.621 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 14.621 * [taylor]: Taking taylor expansion of 1.0 in k 14.621 * [backup-simplify]: Simplify 1.0 into 1.0 14.621 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 14.622 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 14.622 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 14.622 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 14.622 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 14.622 * [taylor]: Taking taylor expansion of 0.5 in k 14.622 * [backup-simplify]: Simplify 0.5 into 0.5 14.622 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 14.622 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.622 * [taylor]: Taking taylor expansion of k in k 14.622 * [backup-simplify]: Simplify 0 into 0 14.622 * [backup-simplify]: Simplify 1 into 1 14.622 * [backup-simplify]: Simplify (/ 1 1) into 1 14.622 * [taylor]: Taking taylor expansion of 1.0 in k 14.622 * [backup-simplify]: Simplify 1.0 into 1.0 14.622 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 14.622 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 14.622 * [taylor]: Taking taylor expansion of 2.0 in k 14.622 * [backup-simplify]: Simplify 2.0 into 2.0 14.622 * [taylor]: Taking taylor expansion of PI in k 14.623 * [backup-simplify]: Simplify PI into PI 14.623 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 14.624 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 14.624 * [backup-simplify]: Simplify (+ 1 0) into 1 14.625 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 14.627 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 14.628 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 14.628 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 14.628 * [taylor]: Taking taylor expansion of (/ -1 k) in k 14.628 * [taylor]: Taking taylor expansion of -1 in k 14.628 * [backup-simplify]: Simplify -1 into -1 14.628 * [taylor]: Taking taylor expansion of k in k 14.628 * [backup-simplify]: Simplify 0 into 0 14.628 * [backup-simplify]: Simplify 1 into 1 14.629 * [backup-simplify]: Simplify (/ -1 1) into -1 14.629 * [backup-simplify]: Simplify (sqrt 0) into 0 14.630 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 14.632 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 14.633 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 14.634 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 14.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.638 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.640 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 14.646 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 14.647 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 14.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.652 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.656 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 14.660 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 14.661 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 14.665 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (/ 1 (- k))) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) 14.666 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 14.666 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 14.666 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 14.666 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 14.666 * [taylor]: Taking taylor expansion of 1.0 in k 14.666 * [backup-simplify]: Simplify 1.0 into 1.0 14.666 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 14.666 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.666 * [taylor]: Taking taylor expansion of k in k 14.666 * [backup-simplify]: Simplify 0 into 0 14.666 * [backup-simplify]: Simplify 1 into 1 14.666 * [backup-simplify]: Simplify (/ 1 1) into 1 14.667 * [backup-simplify]: Simplify (sqrt 0) into 0 14.668 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.668 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 14.668 * [taylor]: Taking taylor expansion of 1.0 in k 14.668 * [backup-simplify]: Simplify 1.0 into 1.0 14.668 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 14.668 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.668 * [taylor]: Taking taylor expansion of k in k 14.668 * [backup-simplify]: Simplify 0 into 0 14.668 * [backup-simplify]: Simplify 1 into 1 14.669 * [backup-simplify]: Simplify (/ 1 1) into 1 14.669 * [backup-simplify]: Simplify (sqrt 0) into 0 14.670 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.671 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.671 * [backup-simplify]: Simplify 0 into 0 14.673 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 14.673 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.677 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.679 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 14.679 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.686 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 14.686 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.688 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 14.688 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 14.688 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 14.688 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 14.688 * [taylor]: Taking taylor expansion of 1.0 in k 14.688 * [backup-simplify]: Simplify 1.0 into 1.0 14.688 * [taylor]: Taking taylor expansion of (sqrt k) in k 14.688 * [taylor]: Taking taylor expansion of k in k 14.688 * [backup-simplify]: Simplify 0 into 0 14.688 * [backup-simplify]: Simplify 1 into 1 14.689 * [backup-simplify]: Simplify (sqrt 0) into 0 14.690 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.690 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 14.690 * [taylor]: Taking taylor expansion of 1.0 in k 14.690 * [backup-simplify]: Simplify 1.0 into 1.0 14.690 * [taylor]: Taking taylor expansion of (sqrt k) in k 14.690 * [taylor]: Taking taylor expansion of k in k 14.690 * [backup-simplify]: Simplify 0 into 0 14.690 * [backup-simplify]: Simplify 1 into 1 14.690 * [backup-simplify]: Simplify (sqrt 0) into 0 14.692 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.692 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.692 * [backup-simplify]: Simplify 0 into 0 14.694 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 14.694 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.697 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.699 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 14.700 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.704 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.706 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 14.706 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.708 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 14.708 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 14.708 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 14.708 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 14.708 * [taylor]: Taking taylor expansion of 1.0 in k 14.708 * [backup-simplify]: Simplify 1.0 into 1.0 14.708 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 14.708 * [taylor]: Taking taylor expansion of (/ -1 k) in k 14.708 * [taylor]: Taking taylor expansion of -1 in k 14.708 * [backup-simplify]: Simplify -1 into -1 14.708 * [taylor]: Taking taylor expansion of k in k 14.708 * [backup-simplify]: Simplify 0 into 0 14.708 * [backup-simplify]: Simplify 1 into 1 14.708 * [backup-simplify]: Simplify (/ -1 1) into -1 14.709 * [backup-simplify]: Simplify (sqrt 0) into 0 14.710 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 14.710 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 14.710 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 14.710 * [taylor]: Taking taylor expansion of 1.0 in k 14.710 * [backup-simplify]: Simplify 1.0 into 1.0 14.710 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 14.710 * [taylor]: Taking taylor expansion of (/ -1 k) in k 14.710 * [taylor]: Taking taylor expansion of -1 in k 14.710 * [backup-simplify]: Simplify -1 into -1 14.710 * [taylor]: Taking taylor expansion of k in k 14.710 * [backup-simplify]: Simplify 0 into 0 14.710 * [backup-simplify]: Simplify 1 into 1 14.710 * [backup-simplify]: Simplify (/ -1 1) into -1 14.710 * [backup-simplify]: Simplify (sqrt 0) into 0 14.711 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 14.712 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 14.712 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.714 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.715 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 14.716 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.726 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.729 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 14.729 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.730 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 14.730 * * * [progress]: simplifying candidates 14.732 * [simplify]: Simplifying: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (- (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) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 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))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (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 (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))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (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 (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 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (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 (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 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 14.737 * * [simplify]: Extracting # 0 : cost 0 14.737 * * [simplify]: Extracting # 1 : cost 0 14.737 * * [simplify]: Extracting # 2 : cost 0 14.738 * * [simplify]: Extracting # 3 : cost 0 14.738 * * [simplify]: Extracting # 4 : cost 0 14.739 * * [simplify]: Extracting # 5 : cost 0 14.739 * * [simplify]: Extracting # 6 : cost 0 14.741 * * [simplify]: Extracting # 7 : cost 0 14.742 * * [simplify]: Extracting # 8 : cost 0 14.743 * * [simplify]: Extracting # 9 : cost 0 14.744 * * [simplify]: Extracting # 10 : cost 0 14.745 * * [simplify]: Extracting # 11 : cost 0 14.746 * * [simplify]: Extracting # 12 : cost 0 14.748 * * [simplify]: Extracting # 13 : cost 0 14.749 * * [simplify]: Extracting # 14 : cost 0 14.750 * * [simplify]: Extracting # 15 : cost 0 14.751 * * [simplify]: Extracting # 16 : cost 0 14.752 * * [simplify]: Extracting # 17 : cost 0 14.753 * * [simplify]: iteration 0 : 333 enodes (cost 2626 ) 14.922 * * [simplify]: Extracting # 0 : cost 0 14.925 * * [simplify]: Extracting # 1 : cost 0 14.927 * * [simplify]: Extracting # 2 : cost 0 14.930 * * [simplify]: Extracting # 3 : cost 0 14.933 * * [simplify]: Extracting # 4 : cost 0 14.935 * * [simplify]: iteration 1 : 927 enodes (cost 2468 ) 15.626 * * [simplify]: Extracting # 0 : cost 0 15.635 * * [simplify]: Extracting # 1 : cost 0 15.644 * * [simplify]: Extracting # 2 : cost 0 15.654 * * [simplify]: Extracting # 3 : cost 0 15.668 * * [simplify]: Extracting # 4 : cost 0 15.677 * * [simplify]: Extracting # 5 : cost 0 15.686 * * [simplify]: iteration 2 : 3726 enodes (cost 2362 ) 17.028 * * [simplify]: Extracting # 0 : cost 0 17.038 * * [simplify]: Extracting # 1 : cost 0 17.050 * * [simplify]: Extracting # 2 : cost 0 17.062 * * [simplify]: Extracting # 3 : cost 0 17.074 * * [simplify]: iteration done: 5000 enodes (cost 2340 ) 17.076 * [simplify]: Simplified to: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (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)))) (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))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (* 2.0 PI) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (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 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (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)))) (* (/ (pow 1.0 3) (* (sqrt k) k)) (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3)) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (* (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)))) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (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) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 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))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (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 (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))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (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 (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 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (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 (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))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) k)) (* (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))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (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) (- (fma 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5)) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (fma 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) (fma +nan.0 (- (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (fma (* +nan.0 (* (pow k 2) (log (* 2.0 PI)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) +nan.0)))) (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (fma (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) (pow k 2)) (- +nan.0) (* +nan.0 (- (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) k) (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) (pow k 3))))) (fma +nan.0 (- (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) k) (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5)) (* (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) (pow k 2)) (- +nan.0))) (fma +nan.0 (- k) (fma (pow k 2) +nan.0 (- +nan.0))) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (- (/ +nan.0 (pow k 2)))) (+ (- (/ +nan.0 k) +nan.0) (- (/ +nan.0 (pow k 2)))) 17.079 * * * [progress]: adding candidates to table 17.998 * [progress]: [Phase 3 of 3] Extracting. 17.999 * * [regime]: Finding splitpoints for: (# # # # # # # #) 18.003 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 18.003 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 18.052 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # #) 18.088 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 18.133 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 18.203 * * * [regime]: Found split indices: #