52.268 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.158 * * * [progress]: [2/2] Setting up program. 0.163 * [progress]: [Phase 2 of 3] Improving. 0.163 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.163 * * [simplify]: Extracting # 0 : cost 0 0.163 * * [simplify]: Extracting # 1 : cost 0 0.163 * * [simplify]: Extracting # 2 : cost 0 0.163 * * [simplify]: Extracting # 3 : cost 0 0.163 * * [simplify]: Extracting # 4 : cost 0 0.163 * * [simplify]: Extracting # 5 : cost 0 0.163 * * [simplify]: Extracting # 6 : cost 0 0.163 * * [simplify]: Extracting # 7 : cost 0 0.163 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.167 * * [simplify]: Extracting # 0 : cost 0 0.167 * * [simplify]: Extracting # 1 : cost 0 0.167 * * [simplify]: Extracting # 2 : cost 0 0.167 * * [simplify]: Extracting # 3 : cost 0 0.167 * * [simplify]: Extracting # 4 : cost 0 0.167 * * [simplify]: Extracting # 5 : cost 0 0.167 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.173 * * [simplify]: Extracting # 0 : cost 0 0.174 * * [simplify]: Extracting # 1 : cost 0 0.174 * * [simplify]: Extracting # 2 : cost 0 0.174 * * [simplify]: Extracting # 3 : cost 0 0.174 * * [simplify]: Extracting # 4 : cost 0 0.174 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.223 * * [simplify]: Extracting # 0 : cost 0 0.223 * * [simplify]: Extracting # 1 : cost 0 0.223 * * [simplify]: Extracting # 2 : cost 0 0.223 * * [simplify]: Extracting # 3 : cost 0 0.226 * * [simplify]: Extracting # 4 : cost 0 0.226 * * [simplify]: iteration 3 : 120 enodes (cost 16 ) 0.273 * * [simplify]: Extracting # 0 : cost 0 0.273 * * [simplify]: Extracting # 1 : cost 0 0.274 * * [simplify]: Extracting # 2 : cost 0 0.274 * * [simplify]: Extracting # 3 : cost 0 0.275 * * [simplify]: Extracting # 4 : cost 0 0.275 * * [simplify]: iteration 4 : 330 enodes (cost 16 ) 0.560 * * [simplify]: Extracting # 0 : cost 0 0.562 * * [simplify]: Extracting # 1 : cost 0 0.565 * * [simplify]: Extracting # 2 : cost 0 0.568 * * [simplify]: Extracting # 3 : cost 0 0.571 * * [simplify]: Extracting # 4 : cost 0 0.574 * * [simplify]: Extracting # 5 : cost 0 0.576 * * [simplify]: iteration 5 : 1555 enodes (cost 16 ) 1.478 * * [simplify]: Extracting # 0 : cost 0 1.504 * * [simplify]: Extracting # 1 : cost 0 1.514 * * [simplify]: Extracting # 2 : cost 0 1.520 * * [simplify]: Extracting # 3 : cost 0 1.526 * * [simplify]: Extracting # 4 : cost 0 1.537 * * [simplify]: iteration done: 5001 enodes (cost 16 ) 1.538 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1.538 * * [progress]: iteration 1 / 4 1.538 * * * [progress]: picking best candidate 1.546 * * * * [pick]: Picked # 1.546 * * * [progress]: localizing error 1.589 * * * [progress]: generating rewritten candidates 1.589 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.630 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.652 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.665 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.739 * * * [progress]: generating series expansions 1.739 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.740 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 1.740 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.740 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.740 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.740 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.740 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.740 * [taylor]: Taking taylor expansion of 0.5 in k 1.740 * [backup-simplify]: Simplify 0.5 into 0.5 1.740 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.740 * [taylor]: Taking taylor expansion of 1.0 in k 1.740 * [backup-simplify]: Simplify 1.0 into 1.0 1.740 * [taylor]: Taking taylor expansion of k in k 1.740 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify 1 into 1 1.740 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.740 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.740 * [taylor]: Taking taylor expansion of 2.0 in k 1.741 * [backup-simplify]: Simplify 2.0 into 2.0 1.741 * [taylor]: Taking taylor expansion of (* n PI) in k 1.741 * [taylor]: Taking taylor expansion of n in k 1.741 * [backup-simplify]: Simplify n into n 1.741 * [taylor]: Taking taylor expansion of PI in k 1.741 * [backup-simplify]: Simplify PI into PI 1.741 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.741 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 1.741 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 1.741 * [backup-simplify]: Simplify (- 0) into 0 1.741 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.742 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 1.742 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 1.742 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 1.742 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.742 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.742 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.742 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.742 * [taylor]: Taking taylor expansion of 0.5 in n 1.742 * [backup-simplify]: Simplify 0.5 into 0.5 1.742 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.742 * [taylor]: Taking taylor expansion of 1.0 in n 1.742 * [backup-simplify]: Simplify 1.0 into 1.0 1.742 * [taylor]: Taking taylor expansion of k in n 1.742 * [backup-simplify]: Simplify k into k 1.743 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.743 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.743 * [taylor]: Taking taylor expansion of 2.0 in n 1.743 * [backup-simplify]: Simplify 2.0 into 2.0 1.743 * [taylor]: Taking taylor expansion of (* n PI) in n 1.743 * [taylor]: Taking taylor expansion of n in n 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify 1 into 1 1.743 * [taylor]: Taking taylor expansion of PI in n 1.743 * [backup-simplify]: Simplify PI into PI 1.743 * [backup-simplify]: Simplify (* 0 PI) into 0 1.744 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.746 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.747 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.748 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.748 * [backup-simplify]: Simplify (- k) into (- k) 1.749 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.749 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 1.750 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.751 * [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)))) 1.753 * [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))))) 1.753 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.753 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.753 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.753 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.753 * [taylor]: Taking taylor expansion of 0.5 in n 1.753 * [backup-simplify]: Simplify 0.5 into 0.5 1.753 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.753 * [taylor]: Taking taylor expansion of 1.0 in n 1.753 * [backup-simplify]: Simplify 1.0 into 1.0 1.753 * [taylor]: Taking taylor expansion of k in n 1.753 * [backup-simplify]: Simplify k into k 1.753 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.753 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.753 * [taylor]: Taking taylor expansion of 2.0 in n 1.753 * [backup-simplify]: Simplify 2.0 into 2.0 1.753 * [taylor]: Taking taylor expansion of (* n PI) in n 1.753 * [taylor]: Taking taylor expansion of n in n 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 1 into 1 1.753 * [taylor]: Taking taylor expansion of PI in n 1.753 * [backup-simplify]: Simplify PI into PI 1.754 * [backup-simplify]: Simplify (* 0 PI) into 0 1.754 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.756 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.757 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.758 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.758 * [backup-simplify]: Simplify (- k) into (- k) 1.758 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.758 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 1.759 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.760 * [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)))) 1.761 * [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))))) 1.761 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.761 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.761 * [taylor]: Taking taylor expansion of 0.5 in k 1.761 * [backup-simplify]: Simplify 0.5 into 0.5 1.761 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.761 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.761 * [taylor]: Taking taylor expansion of 1.0 in k 1.761 * [backup-simplify]: Simplify 1.0 into 1.0 1.761 * [taylor]: Taking taylor expansion of k in k 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 1 into 1 1.761 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.761 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.761 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.761 * [taylor]: Taking taylor expansion of 2.0 in k 1.761 * [backup-simplify]: Simplify 2.0 into 2.0 1.761 * [taylor]: Taking taylor expansion of PI in k 1.761 * [backup-simplify]: Simplify PI into PI 1.761 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.762 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.762 * [taylor]: Taking taylor expansion of (log n) in k 1.762 * [taylor]: Taking taylor expansion of n in k 1.762 * [backup-simplify]: Simplify n into n 1.762 * [backup-simplify]: Simplify (log n) into (log n) 1.762 * [backup-simplify]: Simplify (- 0) into 0 1.763 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.763 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 1.764 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 1.765 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 1.765 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 1.766 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 1.767 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.767 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 1.768 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.769 * [backup-simplify]: Simplify (- 0) into 0 1.769 * [backup-simplify]: Simplify (+ 0 0) into 0 1.769 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 1.770 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.771 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 1.772 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.772 * [taylor]: Taking taylor expansion of 0 in k 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.774 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.774 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1.774 * [backup-simplify]: Simplify (+ 0 0) into 0 1.775 * [backup-simplify]: Simplify (- 1) into -1 1.775 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.776 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 1.777 * [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)))) 1.779 * [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)))))) 1.781 * [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)))))) 1.782 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.783 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.785 * [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 1.786 * [backup-simplify]: Simplify (- 0) into 0 1.786 * [backup-simplify]: Simplify (+ 0 0) into 0 1.786 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 1.788 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.789 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.790 * [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 1.791 * [taylor]: Taking taylor expansion of 0 in k 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.795 * [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 1.797 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.798 * [backup-simplify]: Simplify (+ 0 0) into 0 1.798 * [backup-simplify]: Simplify (- 0) into 0 1.798 * [backup-simplify]: Simplify (+ 0 0) into 0 1.800 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.803 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 1.807 * [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)))))) 1.813 * [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)))))) 1.831 * [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)))))) 1.832 * [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)))) 1.832 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.832 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.832 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.832 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.832 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.832 * [taylor]: Taking taylor expansion of 0.5 in k 1.832 * [backup-simplify]: Simplify 0.5 into 0.5 1.832 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.833 * [taylor]: Taking taylor expansion of 1.0 in k 1.833 * [backup-simplify]: Simplify 1.0 into 1.0 1.833 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.833 * [taylor]: Taking taylor expansion of k in k 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 1 into 1 1.833 * [backup-simplify]: Simplify (/ 1 1) into 1 1.833 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.833 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.833 * [taylor]: Taking taylor expansion of 2.0 in k 1.833 * [backup-simplify]: Simplify 2.0 into 2.0 1.834 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.834 * [taylor]: Taking taylor expansion of PI in k 1.834 * [backup-simplify]: Simplify PI into PI 1.834 * [taylor]: Taking taylor expansion of n in k 1.834 * [backup-simplify]: Simplify n into n 1.834 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.834 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 1.834 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 1.834 * [backup-simplify]: Simplify (- 1) into -1 1.835 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.835 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 1.835 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 1.836 * [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))))) 1.836 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.836 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.836 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.836 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.836 * [taylor]: Taking taylor expansion of 0.5 in n 1.836 * [backup-simplify]: Simplify 0.5 into 0.5 1.836 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.836 * [taylor]: Taking taylor expansion of 1.0 in n 1.836 * [backup-simplify]: Simplify 1.0 into 1.0 1.836 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.836 * [taylor]: Taking taylor expansion of k in n 1.836 * [backup-simplify]: Simplify k into k 1.836 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.836 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.836 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.836 * [taylor]: Taking taylor expansion of 2.0 in n 1.836 * [backup-simplify]: Simplify 2.0 into 2.0 1.836 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.836 * [taylor]: Taking taylor expansion of PI in n 1.836 * [backup-simplify]: Simplify PI into PI 1.836 * [taylor]: Taking taylor expansion of n in n 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 1 into 1 1.837 * [backup-simplify]: Simplify (/ PI 1) into PI 1.838 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.839 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.839 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.839 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.839 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 1.841 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.842 * [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)))) 1.843 * [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))))) 1.843 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.843 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.843 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.843 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.843 * [taylor]: Taking taylor expansion of 0.5 in n 1.843 * [backup-simplify]: Simplify 0.5 into 0.5 1.843 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.843 * [taylor]: Taking taylor expansion of 1.0 in n 1.843 * [backup-simplify]: Simplify 1.0 into 1.0 1.843 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.843 * [taylor]: Taking taylor expansion of k in n 1.843 * [backup-simplify]: Simplify k into k 1.844 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.844 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.844 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.844 * [taylor]: Taking taylor expansion of 2.0 in n 1.844 * [backup-simplify]: Simplify 2.0 into 2.0 1.844 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.844 * [taylor]: Taking taylor expansion of PI in n 1.844 * [backup-simplify]: Simplify PI into PI 1.844 * [taylor]: Taking taylor expansion of n in n 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify 1 into 1 1.844 * [backup-simplify]: Simplify (/ PI 1) into PI 1.845 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.846 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.846 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.846 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.846 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 1.848 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.849 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 1.850 * [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))))) 1.850 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.850 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.850 * [taylor]: Taking taylor expansion of 0.5 in k 1.850 * [backup-simplify]: Simplify 0.5 into 0.5 1.850 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.850 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.850 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.850 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.850 * [taylor]: Taking taylor expansion of 2.0 in k 1.850 * [backup-simplify]: Simplify 2.0 into 2.0 1.850 * [taylor]: Taking taylor expansion of PI in k 1.850 * [backup-simplify]: Simplify PI into PI 1.851 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.851 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.851 * [taylor]: Taking taylor expansion of (log n) in k 1.851 * [taylor]: Taking taylor expansion of n in k 1.851 * [backup-simplify]: Simplify n into n 1.851 * [backup-simplify]: Simplify (log n) into (log n) 1.851 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.851 * [taylor]: Taking taylor expansion of 1.0 in k 1.851 * [backup-simplify]: Simplify 1.0 into 1.0 1.851 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.852 * [taylor]: Taking taylor expansion of k in k 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify 1 into 1 1.852 * [backup-simplify]: Simplify (/ 1 1) into 1 1.852 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.853 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 1.853 * [backup-simplify]: Simplify (- 1) into -1 1.853 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.854 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 1.854 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 1.855 * [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))))) 1.856 * [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))))) 1.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.857 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.858 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.858 * [backup-simplify]: Simplify (- 0) into 0 1.859 * [backup-simplify]: Simplify (+ 0 0) into 0 1.859 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 1.860 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.861 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 1.862 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.862 * [taylor]: Taking taylor expansion of 0 in k 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.863 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.865 * [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 1.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.865 * [backup-simplify]: Simplify (- 0) into 0 1.866 * [backup-simplify]: Simplify (+ 0 0) into 0 1.866 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 1.867 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.868 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 1.869 * [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 1.869 * [taylor]: Taking taylor expansion of 0 in k 1.869 * [backup-simplify]: Simplify 0 into 0 1.869 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.871 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.874 * [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 1.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.875 * [backup-simplify]: Simplify (- 0) into 0 1.875 * [backup-simplify]: Simplify (+ 0 0) into 0 1.876 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 1.877 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.878 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 1.879 * [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 1.879 * [taylor]: Taking taylor expansion of 0 in k 1.879 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [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)))) 1.881 * [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))) 1.881 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.881 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.881 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.881 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.881 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.881 * [taylor]: Taking taylor expansion of 0.5 in k 1.881 * [backup-simplify]: Simplify 0.5 into 0.5 1.881 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.881 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.881 * [taylor]: Taking taylor expansion of k in k 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 1 into 1 1.881 * [backup-simplify]: Simplify (/ 1 1) into 1 1.881 * [taylor]: Taking taylor expansion of 1.0 in k 1.881 * [backup-simplify]: Simplify 1.0 into 1.0 1.881 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.882 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.882 * [taylor]: Taking taylor expansion of -2.0 in k 1.882 * [backup-simplify]: Simplify -2.0 into -2.0 1.882 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.882 * [taylor]: Taking taylor expansion of PI in k 1.882 * [backup-simplify]: Simplify PI into PI 1.882 * [taylor]: Taking taylor expansion of n in k 1.882 * [backup-simplify]: Simplify n into n 1.882 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.882 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 1.882 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 1.882 * [backup-simplify]: Simplify (+ 1 0) into 1 1.882 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 1.882 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 1.883 * [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)))))) 1.883 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.883 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.883 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.883 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.883 * [taylor]: Taking taylor expansion of 0.5 in n 1.883 * [backup-simplify]: Simplify 0.5 into 0.5 1.883 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.883 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.883 * [taylor]: Taking taylor expansion of k in n 1.883 * [backup-simplify]: Simplify k into k 1.883 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.883 * [taylor]: Taking taylor expansion of 1.0 in n 1.883 * [backup-simplify]: Simplify 1.0 into 1.0 1.883 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.883 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.883 * [taylor]: Taking taylor expansion of -2.0 in n 1.883 * [backup-simplify]: Simplify -2.0 into -2.0 1.883 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.883 * [taylor]: Taking taylor expansion of PI in n 1.883 * [backup-simplify]: Simplify PI into PI 1.883 * [taylor]: Taking taylor expansion of n in n 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.884 * [backup-simplify]: Simplify (/ PI 1) into PI 1.884 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.885 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.885 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.885 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 1.886 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.886 * [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)))) 1.887 * [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))))) 1.887 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.887 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.887 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.887 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.887 * [taylor]: Taking taylor expansion of 0.5 in n 1.887 * [backup-simplify]: Simplify 0.5 into 0.5 1.887 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.887 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.887 * [taylor]: Taking taylor expansion of k in n 1.887 * [backup-simplify]: Simplify k into k 1.887 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.887 * [taylor]: Taking taylor expansion of 1.0 in n 1.887 * [backup-simplify]: Simplify 1.0 into 1.0 1.887 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.887 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.888 * [taylor]: Taking taylor expansion of -2.0 in n 1.888 * [backup-simplify]: Simplify -2.0 into -2.0 1.888 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.888 * [taylor]: Taking taylor expansion of PI in n 1.888 * [backup-simplify]: Simplify PI into PI 1.888 * [taylor]: Taking taylor expansion of n in n 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify 1 into 1 1.888 * [backup-simplify]: Simplify (/ PI 1) into PI 1.888 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.889 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.889 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.889 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 1.890 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.891 * [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)))) 1.891 * [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))))) 1.892 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.892 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.892 * [taylor]: Taking taylor expansion of 0.5 in k 1.892 * [backup-simplify]: Simplify 0.5 into 0.5 1.892 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.892 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.892 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.892 * [taylor]: Taking taylor expansion of k in k 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify 1 into 1 1.892 * [backup-simplify]: Simplify (/ 1 1) into 1 1.892 * [taylor]: Taking taylor expansion of 1.0 in k 1.892 * [backup-simplify]: Simplify 1.0 into 1.0 1.892 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.892 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.892 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.892 * [taylor]: Taking taylor expansion of -2.0 in k 1.892 * [backup-simplify]: Simplify -2.0 into -2.0 1.892 * [taylor]: Taking taylor expansion of PI in k 1.892 * [backup-simplify]: Simplify PI into PI 1.893 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.893 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.893 * [taylor]: Taking taylor expansion of (log n) in k 1.893 * [taylor]: Taking taylor expansion of n in k 1.893 * [backup-simplify]: Simplify n into n 1.893 * [backup-simplify]: Simplify (log n) into (log n) 1.894 * [backup-simplify]: Simplify (+ 1 0) into 1 1.894 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.894 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 1.895 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 1.896 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 1.896 * [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))))) 1.897 * [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))))) 1.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.898 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 1.899 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 1.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.900 * [backup-simplify]: Simplify (+ 0 0) into 0 1.900 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 1.901 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.902 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 1.903 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.903 * [taylor]: Taking taylor expansion of 0 in k 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.904 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.906 * [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 1.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.907 * [backup-simplify]: Simplify (+ 0 0) into 0 1.907 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 1.908 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.909 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 1.911 * [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 1.912 * [taylor]: Taking taylor expansion of 0 in k 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.914 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.920 * [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 1.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.921 * [backup-simplify]: Simplify (+ 0 0) into 0 1.922 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 1.924 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.926 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 1.929 * [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 1.929 * [taylor]: Taking taylor expansion of 0 in k 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.931 * [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)))))) 1.931 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.931 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 1.931 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.931 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.931 * [taylor]: Taking taylor expansion of 2.0 in n 1.931 * [backup-simplify]: Simplify 2.0 into 2.0 1.931 * [taylor]: Taking taylor expansion of (* n PI) in n 1.932 * [taylor]: Taking taylor expansion of n in n 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 1 into 1 1.932 * [taylor]: Taking taylor expansion of PI in n 1.932 * [backup-simplify]: Simplify PI into PI 1.932 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.932 * [taylor]: Taking taylor expansion of 2.0 in n 1.932 * [backup-simplify]: Simplify 2.0 into 2.0 1.932 * [taylor]: Taking taylor expansion of (* n PI) in n 1.932 * [taylor]: Taking taylor expansion of n in n 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 1 into 1 1.932 * [taylor]: Taking taylor expansion of PI in n 1.932 * [backup-simplify]: Simplify PI into PI 1.932 * [backup-simplify]: Simplify (* 0 PI) into 0 1.933 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.933 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.936 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.937 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.939 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 1.939 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.949 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.952 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.956 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.960 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1.964 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 1.965 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 1.965 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.965 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.965 * [taylor]: Taking taylor expansion of 2.0 in n 1.965 * [backup-simplify]: Simplify 2.0 into 2.0 1.965 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.965 * [taylor]: Taking taylor expansion of PI in n 1.965 * [backup-simplify]: Simplify PI into PI 1.965 * [taylor]: Taking taylor expansion of n in n 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 1 into 1 1.966 * [backup-simplify]: Simplify (/ PI 1) into PI 1.966 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.966 * [taylor]: Taking taylor expansion of 2.0 in n 1.966 * [backup-simplify]: Simplify 2.0 into 2.0 1.966 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.966 * [taylor]: Taking taylor expansion of PI in n 1.966 * [backup-simplify]: Simplify PI into PI 1.966 * [taylor]: Taking taylor expansion of n in n 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify (/ PI 1) into PI 1.967 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.968 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.972 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.975 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.977 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.980 * [backup-simplify]: Simplify 0 into 0 1.981 * [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 1.983 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 1.985 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 1.985 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.985 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.985 * [taylor]: Taking taylor expansion of -2.0 in n 1.985 * [backup-simplify]: Simplify -2.0 into -2.0 1.985 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.985 * [taylor]: Taking taylor expansion of PI in n 1.985 * [backup-simplify]: Simplify PI into PI 1.985 * [taylor]: Taking taylor expansion of n in n 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 1 into 1 1.986 * [backup-simplify]: Simplify (/ PI 1) into PI 1.986 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.986 * [taylor]: Taking taylor expansion of -2.0 in n 1.986 * [backup-simplify]: Simplify -2.0 into -2.0 1.986 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.986 * [taylor]: Taking taylor expansion of PI in n 1.986 * [backup-simplify]: Simplify PI into PI 1.986 * [taylor]: Taking taylor expansion of n in n 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify 1 into 1 1.987 * [backup-simplify]: Simplify (/ PI 1) into PI 1.987 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.988 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.990 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 1.990 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.992 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.992 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.994 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.994 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.997 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.997 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.001 * [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 2.003 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 2.004 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.004 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 2.004 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.004 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.004 * [taylor]: Taking taylor expansion of 1.0 in k 2.004 * [backup-simplify]: Simplify 1.0 into 1.0 2.004 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.004 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.004 * [taylor]: Taking taylor expansion of k in k 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.005 * [backup-simplify]: Simplify (/ 1 1) into 1 2.005 * [backup-simplify]: Simplify (sqrt 0) into 0 2.007 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.007 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.007 * [taylor]: Taking taylor expansion of 1.0 in k 2.007 * [backup-simplify]: Simplify 1.0 into 1.0 2.007 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.007 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.007 * [taylor]: Taking taylor expansion of k in k 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.008 * [backup-simplify]: Simplify (/ 1 1) into 1 2.008 * [backup-simplify]: Simplify (sqrt 0) into 0 2.009 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.010 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.010 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.012 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.017 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.019 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.019 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.024 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.027 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.027 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.029 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 2.029 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 2.029 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.029 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.029 * [taylor]: Taking taylor expansion of 1.0 in k 2.029 * [backup-simplify]: Simplify 1.0 into 1.0 2.029 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.029 * [taylor]: Taking taylor expansion of k in k 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.030 * [backup-simplify]: Simplify (sqrt 0) into 0 2.031 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.031 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.031 * [taylor]: Taking taylor expansion of 1.0 in k 2.031 * [backup-simplify]: Simplify 1.0 into 1.0 2.031 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.031 * [taylor]: Taking taylor expansion of k in k 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 1 into 1 2.032 * [backup-simplify]: Simplify (sqrt 0) into 0 2.033 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.034 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.034 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.036 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.039 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.042 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.042 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.049 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.049 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.051 * [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)))))))) 2.051 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 2.051 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.051 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.051 * [taylor]: Taking taylor expansion of 1.0 in k 2.051 * [backup-simplify]: Simplify 1.0 into 1.0 2.051 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.051 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.051 * [taylor]: Taking taylor expansion of -1 in k 2.051 * [backup-simplify]: Simplify -1 into -1 2.051 * [taylor]: Taking taylor expansion of k in k 2.051 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify (/ -1 1) into -1 2.053 * [backup-simplify]: Simplify (sqrt 0) into 0 2.054 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.054 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.054 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.055 * [taylor]: Taking taylor expansion of 1.0 in k 2.055 * [backup-simplify]: Simplify 1.0 into 1.0 2.055 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.055 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.055 * [taylor]: Taking taylor expansion of -1 in k 2.055 * [backup-simplify]: Simplify -1 into -1 2.055 * [taylor]: Taking taylor expansion of k in k 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify 1 into 1 2.055 * [backup-simplify]: Simplify (/ -1 1) into -1 2.056 * [backup-simplify]: Simplify (sqrt 0) into 0 2.057 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.057 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.058 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.062 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.065 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.065 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.070 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.075 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.075 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.076 * [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))))) 2.077 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.077 * [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))))) 2.078 * [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 2.078 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 2.078 * [taylor]: Taking taylor expansion of 1.0 in n 2.078 * [backup-simplify]: Simplify 1.0 into 1.0 2.078 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.078 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.078 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.078 * [taylor]: Taking taylor expansion of k in n 2.078 * [backup-simplify]: Simplify k into k 2.078 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.078 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 2.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 2.078 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.078 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.078 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.078 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.078 * [taylor]: Taking taylor expansion of 0.5 in n 2.078 * [backup-simplify]: Simplify 0.5 into 0.5 2.078 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.079 * [taylor]: Taking taylor expansion of 1.0 in n 2.079 * [backup-simplify]: Simplify 1.0 into 1.0 2.079 * [taylor]: Taking taylor expansion of k in n 2.079 * [backup-simplify]: Simplify k into k 2.079 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.079 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.079 * [taylor]: Taking taylor expansion of 2.0 in n 2.079 * [backup-simplify]: Simplify 2.0 into 2.0 2.079 * [taylor]: Taking taylor expansion of (* n PI) in n 2.079 * [taylor]: Taking taylor expansion of n in n 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify 1 into 1 2.079 * [taylor]: Taking taylor expansion of PI in n 2.079 * [backup-simplify]: Simplify PI into PI 2.080 * [backup-simplify]: Simplify (* 0 PI) into 0 2.080 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.082 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.083 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.085 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.085 * [backup-simplify]: Simplify (- k) into (- k) 2.085 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.085 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.087 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.088 * [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)))) 2.089 * [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))))) 2.089 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.089 * [taylor]: Taking taylor expansion of 1.0 in k 2.089 * [backup-simplify]: Simplify 1.0 into 1.0 2.089 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.089 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.089 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.089 * [taylor]: Taking taylor expansion of k in k 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 1 into 1 2.090 * [backup-simplify]: Simplify (/ 1 1) into 1 2.090 * [backup-simplify]: Simplify (sqrt 0) into 0 2.091 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.091 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.091 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.091 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.091 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.091 * [taylor]: Taking taylor expansion of 0.5 in k 2.091 * [backup-simplify]: Simplify 0.5 into 0.5 2.091 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.091 * [taylor]: Taking taylor expansion of 1.0 in k 2.091 * [backup-simplify]: Simplify 1.0 into 1.0 2.091 * [taylor]: Taking taylor expansion of k in k 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify 1 into 1 2.091 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.091 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.091 * [taylor]: Taking taylor expansion of 2.0 in k 2.091 * [backup-simplify]: Simplify 2.0 into 2.0 2.091 * [taylor]: Taking taylor expansion of (* n PI) in k 2.091 * [taylor]: Taking taylor expansion of n in k 2.091 * [backup-simplify]: Simplify n into n 2.091 * [taylor]: Taking taylor expansion of PI in k 2.091 * [backup-simplify]: Simplify PI into PI 2.091 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.091 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.091 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.092 * [backup-simplify]: Simplify (- 0) into 0 2.092 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.092 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.092 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.092 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.092 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.092 * [taylor]: Taking taylor expansion of 1.0 in k 2.092 * [backup-simplify]: Simplify 1.0 into 1.0 2.092 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.092 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.092 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.093 * [taylor]: Taking taylor expansion of k in k 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 1 into 1 2.093 * [backup-simplify]: Simplify (/ 1 1) into 1 2.093 * [backup-simplify]: Simplify (sqrt 0) into 0 2.094 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.094 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.094 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.094 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.094 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.094 * [taylor]: Taking taylor expansion of 0.5 in k 2.094 * [backup-simplify]: Simplify 0.5 into 0.5 2.094 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.094 * [taylor]: Taking taylor expansion of 1.0 in k 2.094 * [backup-simplify]: Simplify 1.0 into 1.0 2.094 * [taylor]: Taking taylor expansion of k in k 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 1 into 1 2.094 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.094 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.094 * [taylor]: Taking taylor expansion of 2.0 in k 2.094 * [backup-simplify]: Simplify 2.0 into 2.0 2.094 * [taylor]: Taking taylor expansion of (* n PI) in k 2.094 * [taylor]: Taking taylor expansion of n in k 2.094 * [backup-simplify]: Simplify n into n 2.094 * [taylor]: Taking taylor expansion of PI in k 2.094 * [backup-simplify]: Simplify PI into PI 2.094 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.094 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.094 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.095 * [backup-simplify]: Simplify (- 0) into 0 2.095 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.095 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.095 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.095 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.096 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 2.096 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.096 * [taylor]: Taking taylor expansion of 0 in n 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 2.097 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 2.097 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 2.097 * [backup-simplify]: Simplify (- 1) into -1 2.098 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.099 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 2.099 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 2.100 * [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))) 2.107 * [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))) 2.108 * [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))) 2.108 * [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 2.108 * [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 2.108 * [taylor]: Taking taylor expansion of +nan.0 in n 2.108 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.108 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.108 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.108 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.109 * [taylor]: Taking taylor expansion of 0.5 in n 2.109 * [backup-simplify]: Simplify 0.5 into 0.5 2.109 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.109 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.109 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.109 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.109 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.109 * [taylor]: Taking taylor expansion of 1.0 in n 2.109 * [backup-simplify]: Simplify 1.0 into 1.0 2.109 * [taylor]: Taking taylor expansion of (log PI) in n 2.109 * [taylor]: Taking taylor expansion of PI in n 2.109 * [backup-simplify]: Simplify PI into PI 2.109 * [backup-simplify]: Simplify (log PI) into (log PI) 2.110 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.111 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.111 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.111 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.111 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.111 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.111 * [taylor]: Taking taylor expansion of 1.0 in n 2.111 * [backup-simplify]: Simplify 1.0 into 1.0 2.111 * [taylor]: Taking taylor expansion of (log n) in n 2.111 * [taylor]: Taking taylor expansion of n in n 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (log 1) into 0 2.111 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.111 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.111 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.111 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.111 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.112 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.112 * [taylor]: Taking taylor expansion of 1.0 in n 2.112 * [backup-simplify]: Simplify 1.0 into 1.0 2.112 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.112 * [taylor]: Taking taylor expansion of 2.0 in n 2.112 * [backup-simplify]: Simplify 2.0 into 2.0 2.112 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.112 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.113 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.114 * [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) 2.114 * [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) 2.115 * [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)) 2.116 * [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))) 2.117 * [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) 2.118 * [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)) 2.120 * [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))) 2.121 * [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))) 2.121 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 2.123 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 2.125 * [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 2.125 * [backup-simplify]: Simplify (- 0) into 0 2.126 * [backup-simplify]: Simplify (+ 0 0) into 0 2.127 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 2.128 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 2.129 * [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))) 2.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.133 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.137 * [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)))))))) 2.142 * [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)))))))) 2.143 * [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 2.143 * [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 2.143 * [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 2.143 * [taylor]: Taking taylor expansion of +nan.0 in n 2.143 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.143 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.143 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.143 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.143 * [taylor]: Taking taylor expansion of 0.5 in n 2.143 * [backup-simplify]: Simplify 0.5 into 0.5 2.143 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.143 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.143 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.143 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.143 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.143 * [taylor]: Taking taylor expansion of 1.0 in n 2.143 * [backup-simplify]: Simplify 1.0 into 1.0 2.143 * [taylor]: Taking taylor expansion of (log PI) in n 2.143 * [taylor]: Taking taylor expansion of PI in n 2.143 * [backup-simplify]: Simplify PI into PI 2.144 * [backup-simplify]: Simplify (log PI) into (log PI) 2.145 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.146 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.146 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.146 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.146 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.146 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.147 * [taylor]: Taking taylor expansion of 1.0 in n 2.147 * [backup-simplify]: Simplify 1.0 into 1.0 2.147 * [taylor]: Taking taylor expansion of (log n) in n 2.147 * [taylor]: Taking taylor expansion of n in n 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 1 into 1 2.147 * [backup-simplify]: Simplify (log 1) into 0 2.148 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.148 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.148 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.148 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.148 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.148 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.148 * [taylor]: Taking taylor expansion of 1.0 in n 2.148 * [backup-simplify]: Simplify 1.0 into 1.0 2.148 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.148 * [taylor]: Taking taylor expansion of 2.0 in n 2.148 * [backup-simplify]: Simplify 2.0 into 2.0 2.148 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.149 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.151 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.152 * [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) 2.153 * [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) 2.154 * [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)) 2.156 * [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))) 2.157 * [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) 2.157 * [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 2.158 * [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 2.158 * [taylor]: Taking taylor expansion of +nan.0 in n 2.158 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.158 * [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 2.158 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.158 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.158 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.158 * [taylor]: Taking taylor expansion of 0.5 in n 2.158 * [backup-simplify]: Simplify 0.5 into 0.5 2.158 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.158 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.158 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.158 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.158 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.158 * [taylor]: Taking taylor expansion of 1.0 in n 2.158 * [backup-simplify]: Simplify 1.0 into 1.0 2.158 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.158 * [taylor]: Taking taylor expansion of 2.0 in n 2.158 * [backup-simplify]: Simplify 2.0 into 2.0 2.159 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.160 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.161 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.161 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.161 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.161 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.161 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.161 * [taylor]: Taking taylor expansion of 1.0 in n 2.161 * [backup-simplify]: Simplify 1.0 into 1.0 2.161 * [taylor]: Taking taylor expansion of (log PI) in n 2.161 * [taylor]: Taking taylor expansion of PI in n 2.161 * [backup-simplify]: Simplify PI into PI 2.162 * [backup-simplify]: Simplify (log PI) into (log PI) 2.163 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.164 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.164 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.165 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.165 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.165 * [taylor]: Taking taylor expansion of 1.0 in n 2.165 * [backup-simplify]: Simplify 1.0 into 1.0 2.165 * [taylor]: Taking taylor expansion of (log n) in n 2.165 * [taylor]: Taking taylor expansion of n in n 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 1 into 1 2.165 * [backup-simplify]: Simplify (log 1) into 0 2.166 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.166 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.166 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.167 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.168 * [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) 2.169 * [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)) 2.170 * [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))) 2.172 * [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) 2.172 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.172 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.172 * [taylor]: Taking taylor expansion of 2.0 in n 2.172 * [backup-simplify]: Simplify 2.0 into 2.0 2.172 * [taylor]: Taking taylor expansion of (* n PI) in n 2.172 * [taylor]: Taking taylor expansion of n in n 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify 1 into 1 2.172 * [taylor]: Taking taylor expansion of PI in n 2.172 * [backup-simplify]: Simplify PI into PI 2.173 * [backup-simplify]: Simplify (* 0 PI) into 0 2.173 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.175 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.176 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.177 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.179 * [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)) 2.179 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.181 * [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)) 2.182 * [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))) 2.184 * [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)))))) 2.188 * [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)))))))) 2.191 * [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)))))))) 2.195 * [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)))))))) 2.196 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 2.197 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 2.198 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 2.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.200 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.200 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 2.201 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 2.202 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 2.203 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 2.204 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 2.206 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 2.208 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 2.210 * [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 2.212 * [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 2.214 * [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 2.216 * [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 2.216 * [backup-simplify]: Simplify (- 0) into 0 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.219 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 2.222 * [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 2.222 * [backup-simplify]: Simplify (- 0) into 0 2.223 * [backup-simplify]: Simplify (+ 0 0) into 0 2.224 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 2.226 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 2.228 * [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))) 2.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.233 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.239 * [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)))))))) 2.259 * [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)))))))) 2.260 * [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 2.260 * [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 2.260 * [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 2.260 * [taylor]: Taking taylor expansion of +nan.0 in n 2.260 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.260 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.260 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.260 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.260 * [taylor]: Taking taylor expansion of 0.5 in n 2.260 * [backup-simplify]: Simplify 0.5 into 0.5 2.260 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.260 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.260 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.260 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.260 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.260 * [taylor]: Taking taylor expansion of 1.0 in n 2.260 * [backup-simplify]: Simplify 1.0 into 1.0 2.260 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.260 * [taylor]: Taking taylor expansion of 2.0 in n 2.260 * [backup-simplify]: Simplify 2.0 into 2.0 2.261 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.262 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.263 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.264 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.264 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.264 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.264 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.264 * [taylor]: Taking taylor expansion of 1.0 in n 2.264 * [backup-simplify]: Simplify 1.0 into 1.0 2.264 * [taylor]: Taking taylor expansion of (log n) in n 2.264 * [taylor]: Taking taylor expansion of n in n 2.264 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify 1 into 1 2.264 * [backup-simplify]: Simplify (log 1) into 0 2.265 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.265 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.265 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.265 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.265 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.265 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.265 * [taylor]: Taking taylor expansion of 1.0 in n 2.265 * [backup-simplify]: Simplify 1.0 into 1.0 2.265 * [taylor]: Taking taylor expansion of (log PI) in n 2.265 * [taylor]: Taking taylor expansion of PI in n 2.265 * [backup-simplify]: Simplify PI into PI 2.266 * [backup-simplify]: Simplify (log PI) into (log PI) 2.267 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.268 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.269 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.270 * [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) 2.272 * [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)) 2.273 * [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))) 2.275 * [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) 2.275 * [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 2.275 * [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 2.275 * [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 2.275 * [taylor]: Taking taylor expansion of +nan.0 in n 2.275 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.275 * [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 2.275 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.275 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.275 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.275 * [taylor]: Taking taylor expansion of 0.5 in n 2.275 * [backup-simplify]: Simplify 0.5 into 0.5 2.275 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.275 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.276 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.276 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.276 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.276 * [taylor]: Taking taylor expansion of 1.0 in n 2.276 * [backup-simplify]: Simplify 1.0 into 1.0 2.276 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.276 * [taylor]: Taking taylor expansion of 2.0 in n 2.276 * [backup-simplify]: Simplify 2.0 into 2.0 2.276 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.277 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.279 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.279 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.279 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.279 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.279 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.279 * [taylor]: Taking taylor expansion of 1.0 in n 2.279 * [backup-simplify]: Simplify 1.0 into 1.0 2.279 * [taylor]: Taking taylor expansion of (log PI) in n 2.279 * [taylor]: Taking taylor expansion of PI in n 2.279 * [backup-simplify]: Simplify PI into PI 2.279 * [backup-simplify]: Simplify (log PI) into (log PI) 2.280 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.282 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.282 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.282 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.282 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.282 * [taylor]: Taking taylor expansion of 1.0 in n 2.282 * [backup-simplify]: Simplify 1.0 into 1.0 2.282 * [taylor]: Taking taylor expansion of (log n) in n 2.282 * [taylor]: Taking taylor expansion of n in n 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify 1 into 1 2.283 * [backup-simplify]: Simplify (log 1) into 0 2.283 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.283 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.283 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.284 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.285 * [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) 2.287 * [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)) 2.288 * [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))) 2.290 * [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) 2.290 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.290 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.290 * [taylor]: Taking taylor expansion of 2.0 in n 2.290 * [backup-simplify]: Simplify 2.0 into 2.0 2.290 * [taylor]: Taking taylor expansion of (* n PI) in n 2.290 * [taylor]: Taking taylor expansion of n in n 2.290 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify 1 into 1 2.290 * [taylor]: Taking taylor expansion of PI in n 2.290 * [backup-simplify]: Simplify PI into PI 2.290 * [backup-simplify]: Simplify (* 0 PI) into 0 2.291 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.292 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.294 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.295 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.295 * [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 2.295 * [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 2.295 * [taylor]: Taking taylor expansion of +nan.0 in n 2.295 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.295 * [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 2.295 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.295 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.295 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.295 * [taylor]: Taking taylor expansion of 0.5 in n 2.295 * [backup-simplify]: Simplify 0.5 into 0.5 2.295 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.295 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.295 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.295 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.295 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.295 * [taylor]: Taking taylor expansion of 1.0 in n 2.295 * [backup-simplify]: Simplify 1.0 into 1.0 2.295 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.295 * [taylor]: Taking taylor expansion of 2.0 in n 2.295 * [backup-simplify]: Simplify 2.0 into 2.0 2.296 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.297 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.298 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.298 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.298 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.298 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.298 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.298 * [taylor]: Taking taylor expansion of 1.0 in n 2.298 * [backup-simplify]: Simplify 1.0 into 1.0 2.298 * [taylor]: Taking taylor expansion of (log PI) in n 2.298 * [taylor]: Taking taylor expansion of PI in n 2.298 * [backup-simplify]: Simplify PI into PI 2.299 * [backup-simplify]: Simplify (log PI) into (log PI) 2.300 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.301 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.301 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.301 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.302 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.302 * [taylor]: Taking taylor expansion of 1.0 in n 2.302 * [backup-simplify]: Simplify 1.0 into 1.0 2.302 * [taylor]: Taking taylor expansion of (log n) in n 2.302 * [taylor]: Taking taylor expansion of n in n 2.302 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify 1 into 1 2.302 * [backup-simplify]: Simplify (log 1) into 0 2.302 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.303 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.303 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.303 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.305 * [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) 2.306 * [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)) 2.307 * [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))) 2.309 * [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) 2.309 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.309 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.309 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.309 * [taylor]: Taking taylor expansion of 2.0 in n 2.309 * [backup-simplify]: Simplify 2.0 into 2.0 2.309 * [taylor]: Taking taylor expansion of (* n PI) in n 2.309 * [taylor]: Taking taylor expansion of n in n 2.309 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify 1 into 1 2.309 * [taylor]: Taking taylor expansion of PI in n 2.309 * [backup-simplify]: Simplify PI into PI 2.309 * [backup-simplify]: Simplify (* 0 PI) into 0 2.310 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.311 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.312 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.312 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.313 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.314 * [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)) 2.315 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.317 * [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)) 2.318 * [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))) 2.319 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.320 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.321 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 2.323 * [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)) 2.324 * [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))) 2.326 * [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)))))))) 2.333 * [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)))))))))))) 2.342 * [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)))))))))))) 2.358 * [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)))))))))))))) 2.375 * [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)))))))))))))) 2.400 * [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)))))))))))))) 2.428 * [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)))))))))))))))))))))) 2.430 * [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)))))) 2.430 * [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 2.430 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 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 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.430 * [taylor]: Taking taylor expansion of (sqrt 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 (sqrt k) into (sqrt k) 2.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 2.430 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.430 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.430 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.430 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) 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 (- 1.0 (/ 1 k)) in n 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 (/ 1 k) in n 2.430 * [taylor]: Taking taylor expansion of k in n 2.431 * [backup-simplify]: Simplify k into k 2.431 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.431 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.431 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.431 * [taylor]: Taking taylor expansion of 2.0 in n 2.431 * [backup-simplify]: Simplify 2.0 into 2.0 2.431 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.431 * [taylor]: Taking taylor expansion of PI in n 2.431 * [backup-simplify]: Simplify PI into PI 2.431 * [taylor]: Taking taylor expansion of n in n 2.431 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify 1 into 1 2.431 * [backup-simplify]: Simplify (/ PI 1) into PI 2.432 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.433 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.433 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.433 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.433 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.434 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.435 * [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)))) 2.436 * [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))))) 2.436 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.436 * [taylor]: Taking taylor expansion of 1.0 in k 2.436 * [backup-simplify]: Simplify 1.0 into 1.0 2.436 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.436 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.436 * [taylor]: Taking taylor expansion of k in k 2.436 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify 1 into 1 2.436 * [backup-simplify]: Simplify (sqrt 0) into 0 2.437 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.437 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.437 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.437 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.437 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.437 * [taylor]: Taking taylor expansion of 0.5 in k 2.437 * [backup-simplify]: Simplify 0.5 into 0.5 2.437 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.437 * [taylor]: Taking taylor expansion of 1.0 in k 2.437 * [backup-simplify]: Simplify 1.0 into 1.0 2.437 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.437 * [taylor]: Taking taylor expansion of k in k 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify 1 into 1 2.438 * [backup-simplify]: Simplify (/ 1 1) into 1 2.438 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.438 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.438 * [taylor]: Taking taylor expansion of 2.0 in k 2.438 * [backup-simplify]: Simplify 2.0 into 2.0 2.438 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.438 * [taylor]: Taking taylor expansion of PI in k 2.438 * [backup-simplify]: Simplify PI into PI 2.438 * [taylor]: Taking taylor expansion of n in k 2.438 * [backup-simplify]: Simplify n into n 2.438 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.438 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.438 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.438 * [backup-simplify]: Simplify (- 1) into -1 2.439 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.439 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.439 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.439 * [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))))) 2.439 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.439 * [taylor]: Taking taylor expansion of 1.0 in k 2.439 * [backup-simplify]: Simplify 1.0 into 1.0 2.439 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.439 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.439 * [taylor]: Taking taylor expansion of k in k 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify 1 into 1 2.439 * [backup-simplify]: Simplify (sqrt 0) into 0 2.440 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.440 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.440 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.440 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.440 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.440 * [taylor]: Taking taylor expansion of 0.5 in k 2.440 * [backup-simplify]: Simplify 0.5 into 0.5 2.441 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.441 * [taylor]: Taking taylor expansion of 1.0 in k 2.441 * [backup-simplify]: Simplify 1.0 into 1.0 2.441 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.441 * [taylor]: Taking taylor expansion of k in k 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify 1 into 1 2.441 * [backup-simplify]: Simplify (/ 1 1) into 1 2.441 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.441 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.441 * [taylor]: Taking taylor expansion of 2.0 in k 2.441 * [backup-simplify]: Simplify 2.0 into 2.0 2.441 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.441 * [taylor]: Taking taylor expansion of PI in k 2.441 * [backup-simplify]: Simplify PI into PI 2.441 * [taylor]: Taking taylor expansion of n in k 2.441 * [backup-simplify]: Simplify n into n 2.441 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.441 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.441 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.441 * [backup-simplify]: Simplify (- 1) into -1 2.442 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.442 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.442 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.442 * [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))))) 2.442 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 2.443 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.443 * [taylor]: Taking taylor expansion of 0 in n 2.443 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify 0 into 0 2.443 * [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))))))) 2.444 * [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))))))) 2.444 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.444 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.444 * [taylor]: Taking taylor expansion of +nan.0 in n 2.444 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.444 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.444 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.444 * [taylor]: Taking taylor expansion of 0.5 in n 2.444 * [backup-simplify]: Simplify 0.5 into 0.5 2.444 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.444 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.444 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.444 * [taylor]: Taking taylor expansion of 2.0 in n 2.444 * [backup-simplify]: Simplify 2.0 into 2.0 2.444 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.444 * [taylor]: Taking taylor expansion of PI in n 2.444 * [backup-simplify]: Simplify PI into PI 2.444 * [taylor]: Taking taylor expansion of n in n 2.444 * [backup-simplify]: Simplify 0 into 0 2.444 * [backup-simplify]: Simplify 1 into 1 2.444 * [backup-simplify]: Simplify (/ PI 1) into PI 2.445 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.445 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.445 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.445 * [taylor]: Taking taylor expansion of 1.0 in n 2.445 * [backup-simplify]: Simplify 1.0 into 1.0 2.445 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.445 * [taylor]: Taking taylor expansion of k in n 2.445 * [backup-simplify]: Simplify k into k 2.445 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.446 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.446 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.447 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.447 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 2.448 * [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)))) 2.449 * [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))))) 2.449 * [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)))))) 2.450 * [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))))))) 2.451 * [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))))))) 2.451 * [backup-simplify]: Simplify 0 into 0 2.453 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.454 * [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))))))) 2.454 * [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))))))) 2.454 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.454 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.454 * [taylor]: Taking taylor expansion of +nan.0 in n 2.454 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.454 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.454 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.454 * [taylor]: Taking taylor expansion of 0.5 in n 2.454 * [backup-simplify]: Simplify 0.5 into 0.5 2.454 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.454 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.455 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.455 * [taylor]: Taking taylor expansion of 2.0 in n 2.455 * [backup-simplify]: Simplify 2.0 into 2.0 2.455 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.455 * [taylor]: Taking taylor expansion of PI in n 2.455 * [backup-simplify]: Simplify PI into PI 2.455 * [taylor]: Taking taylor expansion of n in n 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify 1 into 1 2.455 * [backup-simplify]: Simplify (/ PI 1) into PI 2.455 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.456 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.456 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.456 * [taylor]: Taking taylor expansion of 1.0 in n 2.456 * [backup-simplify]: Simplify 1.0 into 1.0 2.456 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.456 * [taylor]: Taking taylor expansion of k in n 2.456 * [backup-simplify]: Simplify k into k 2.456 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.457 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.457 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.457 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.458 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 2.458 * [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)))) 2.459 * [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))))) 2.460 * [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)))))) 2.461 * [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))))))) 2.462 * [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))))))) 2.463 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.464 * [backup-simplify]: Simplify (- 0) into 0 2.464 * [backup-simplify]: Simplify (+ 0 0) into 0 2.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.466 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.468 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.470 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 2.471 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 2.473 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.475 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 2.476 * [backup-simplify]: Simplify (- 0) into 0 2.476 * [backup-simplify]: Simplify 0 into 0 2.476 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.482 * [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))))))) 2.483 * [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))))))) 2.483 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.483 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.483 * [taylor]: Taking taylor expansion of +nan.0 in n 2.483 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.483 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.483 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.483 * [taylor]: Taking taylor expansion of 0.5 in n 2.483 * [backup-simplify]: Simplify 0.5 into 0.5 2.484 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.484 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.484 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.484 * [taylor]: Taking taylor expansion of 2.0 in n 2.484 * [backup-simplify]: Simplify 2.0 into 2.0 2.484 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.484 * [taylor]: Taking taylor expansion of PI in n 2.484 * [backup-simplify]: Simplify PI into PI 2.484 * [taylor]: Taking taylor expansion of n in n 2.484 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify 1 into 1 2.484 * [backup-simplify]: Simplify (/ PI 1) into PI 2.485 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.486 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.486 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.486 * [taylor]: Taking taylor expansion of 1.0 in n 2.486 * [backup-simplify]: Simplify 1.0 into 1.0 2.486 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.486 * [taylor]: Taking taylor expansion of k in n 2.486 * [backup-simplify]: Simplify k into k 2.486 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.488 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.488 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.488 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.489 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 2.491 * [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)))) 2.492 * [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))))) 2.493 * [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)))))) 2.495 * [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))))))) 2.496 * [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))))))) 2.501 * [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)))))))) 2.502 * [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)))) 2.503 * [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 2.503 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 2.503 * [taylor]: Taking taylor expansion of 1.0 in n 2.503 * [backup-simplify]: Simplify 1.0 into 1.0 2.503 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.503 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.503 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.503 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.503 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.503 * [taylor]: Taking taylor expansion of 0.5 in n 2.503 * [backup-simplify]: Simplify 0.5 into 0.5 2.503 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.503 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.503 * [taylor]: Taking taylor expansion of k in n 2.503 * [backup-simplify]: Simplify k into k 2.503 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.503 * [taylor]: Taking taylor expansion of 1.0 in n 2.503 * [backup-simplify]: Simplify 1.0 into 1.0 2.503 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.503 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.503 * [taylor]: Taking taylor expansion of -2.0 in n 2.503 * [backup-simplify]: Simplify -2.0 into -2.0 2.503 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.503 * [taylor]: Taking taylor expansion of PI in n 2.503 * [backup-simplify]: Simplify PI into PI 2.503 * [taylor]: Taking taylor expansion of n in n 2.503 * [backup-simplify]: Simplify 0 into 0 2.503 * [backup-simplify]: Simplify 1 into 1 2.504 * [backup-simplify]: Simplify (/ PI 1) into PI 2.504 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.505 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.506 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.506 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.507 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.508 * [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)))) 2.510 * [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))))) 2.510 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.510 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.510 * [taylor]: Taking taylor expansion of -1 in n 2.510 * [backup-simplify]: Simplify -1 into -1 2.510 * [taylor]: Taking taylor expansion of k in n 2.510 * [backup-simplify]: Simplify k into k 2.510 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 2.510 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 2.510 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 2.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 2.512 * [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))) 2.512 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.512 * [taylor]: Taking taylor expansion of 1.0 in k 2.512 * [backup-simplify]: Simplify 1.0 into 1.0 2.512 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.512 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.512 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.512 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.512 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.512 * [taylor]: Taking taylor expansion of 0.5 in k 2.512 * [backup-simplify]: Simplify 0.5 into 0.5 2.512 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.512 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.512 * [taylor]: Taking taylor expansion of k in k 2.512 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify 1 into 1 2.513 * [backup-simplify]: Simplify (/ 1 1) into 1 2.513 * [taylor]: Taking taylor expansion of 1.0 in k 2.513 * [backup-simplify]: Simplify 1.0 into 1.0 2.513 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.513 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.513 * [taylor]: Taking taylor expansion of -2.0 in k 2.513 * [backup-simplify]: Simplify -2.0 into -2.0 2.513 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.513 * [taylor]: Taking taylor expansion of PI in k 2.513 * [backup-simplify]: Simplify PI into PI 2.513 * [taylor]: Taking taylor expansion of n in k 2.513 * [backup-simplify]: Simplify n into n 2.513 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.513 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.513 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.514 * [backup-simplify]: Simplify (+ 1 0) into 1 2.514 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.514 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.515 * [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)))))) 2.515 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.515 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.515 * [taylor]: Taking taylor expansion of -1 in k 2.515 * [backup-simplify]: Simplify -1 into -1 2.515 * [taylor]: Taking taylor expansion of k in k 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify 1 into 1 2.515 * [backup-simplify]: Simplify (/ -1 1) into -1 2.516 * [backup-simplify]: Simplify (sqrt 0) into 0 2.517 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.518 * [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))))))) 2.518 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.518 * [taylor]: Taking taylor expansion of 1.0 in k 2.518 * [backup-simplify]: Simplify 1.0 into 1.0 2.518 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.518 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.518 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.518 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.518 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.518 * [taylor]: Taking taylor expansion of 0.5 in k 2.518 * [backup-simplify]: Simplify 0.5 into 0.5 2.518 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.518 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.518 * [taylor]: Taking taylor expansion of k in k 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify 1 into 1 2.518 * [backup-simplify]: Simplify (/ 1 1) into 1 2.518 * [taylor]: Taking taylor expansion of 1.0 in k 2.519 * [backup-simplify]: Simplify 1.0 into 1.0 2.519 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.519 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.519 * [taylor]: Taking taylor expansion of -2.0 in k 2.519 * [backup-simplify]: Simplify -2.0 into -2.0 2.519 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.519 * [taylor]: Taking taylor expansion of PI in k 2.519 * [backup-simplify]: Simplify PI into PI 2.519 * [taylor]: Taking taylor expansion of n in k 2.519 * [backup-simplify]: Simplify n into n 2.519 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.519 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.519 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.519 * [backup-simplify]: Simplify (+ 1 0) into 1 2.520 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.520 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.520 * [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)))))) 2.520 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.520 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.520 * [taylor]: Taking taylor expansion of -1 in k 2.520 * [backup-simplify]: Simplify -1 into -1 2.521 * [taylor]: Taking taylor expansion of k in k 2.521 * [backup-simplify]: Simplify 0 into 0 2.521 * [backup-simplify]: Simplify 1 into 1 2.528 * [backup-simplify]: Simplify (/ -1 1) into -1 2.529 * [backup-simplify]: Simplify (sqrt 0) into 0 2.531 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.531 * [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))))))) 2.531 * [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))))))) 2.531 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.531 * [taylor]: Taking taylor expansion of +nan.0 in n 2.531 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.532 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.532 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.532 * [taylor]: Taking taylor expansion of 0.5 in n 2.532 * [backup-simplify]: Simplify 0.5 into 0.5 2.532 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.532 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.532 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.532 * [taylor]: Taking taylor expansion of k in n 2.532 * [backup-simplify]: Simplify k into k 2.532 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.532 * [taylor]: Taking taylor expansion of 1.0 in n 2.532 * [backup-simplify]: Simplify 1.0 into 1.0 2.532 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.532 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.532 * [taylor]: Taking taylor expansion of -2.0 in n 2.532 * [backup-simplify]: Simplify -2.0 into -2.0 2.532 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.532 * [taylor]: Taking taylor expansion of PI in n 2.532 * [backup-simplify]: Simplify PI into PI 2.532 * [taylor]: Taking taylor expansion of n in n 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify 1 into 1 2.533 * [backup-simplify]: Simplify (/ PI 1) into PI 2.533 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.534 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.534 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.535 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.536 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 2.537 * [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)))) 2.537 * [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))))) 2.538 * [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)))))) 2.539 * [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)))))) 2.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.541 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.542 * [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)))))))) 2.543 * [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)))))))) 2.543 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.543 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.543 * [taylor]: Taking taylor expansion of +nan.0 in n 2.543 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.543 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.543 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.543 * [taylor]: Taking taylor expansion of 0.5 in n 2.543 * [backup-simplify]: Simplify 0.5 into 0.5 2.543 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.543 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.543 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.543 * [taylor]: Taking taylor expansion of k in n 2.543 * [backup-simplify]: Simplify k into k 2.543 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.543 * [taylor]: Taking taylor expansion of 1.0 in n 2.543 * [backup-simplify]: Simplify 1.0 into 1.0 2.543 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.543 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.543 * [taylor]: Taking taylor expansion of -2.0 in n 2.543 * [backup-simplify]: Simplify -2.0 into -2.0 2.543 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.543 * [taylor]: Taking taylor expansion of PI in n 2.543 * [backup-simplify]: Simplify PI into PI 2.543 * [taylor]: Taking taylor expansion of n in n 2.543 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify 1 into 1 2.543 * [backup-simplify]: Simplify (/ PI 1) into PI 2.544 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.544 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.544 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.545 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.546 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 2.547 * [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)))) 2.547 * [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))))) 2.548 * [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)))))) 2.549 * [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))))))) 2.550 * [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))))))) 2.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.551 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.552 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 2.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.552 * [backup-simplify]: Simplify (+ 0 0) into 0 2.553 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.554 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 2.555 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 2.556 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.557 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 2.557 * [backup-simplify]: Simplify 0 into 0 2.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.560 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.561 * [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)))))))) 2.562 * [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)))))))) 2.562 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.562 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.562 * [taylor]: Taking taylor expansion of +nan.0 in n 2.562 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.562 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.562 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.562 * [taylor]: Taking taylor expansion of 0.5 in n 2.562 * [backup-simplify]: Simplify 0.5 into 0.5 2.562 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.562 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.562 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.562 * [taylor]: Taking taylor expansion of k in n 2.562 * [backup-simplify]: Simplify k into k 2.562 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.562 * [taylor]: Taking taylor expansion of 1.0 in n 2.562 * [backup-simplify]: Simplify 1.0 into 1.0 2.562 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.562 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.562 * [taylor]: Taking taylor expansion of -2.0 in n 2.562 * [backup-simplify]: Simplify -2.0 into -2.0 2.562 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.563 * [taylor]: Taking taylor expansion of PI in n 2.563 * [backup-simplify]: Simplify PI into PI 2.563 * [taylor]: Taking taylor expansion of n in n 2.563 * [backup-simplify]: Simplify 0 into 0 2.563 * [backup-simplify]: Simplify 1 into 1 2.563 * [backup-simplify]: Simplify (/ PI 1) into PI 2.564 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.565 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.565 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.567 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.568 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 2.569 * [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)))) 2.570 * [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))))) 2.572 * [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)))))) 2.573 * [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))))))) 2.574 * [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))))))) 2.579 * [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)))))))))))) 2.580 * * * [progress]: simplifying candidates 2.584 * [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)))))))))))) 2.595 * * [simplify]: Extracting # 0 : cost 0 2.596 * * [simplify]: Extracting # 1 : cost 0 2.596 * * [simplify]: Extracting # 2 : cost 0 2.597 * * [simplify]: Extracting # 3 : cost 0 2.598 * * [simplify]: Extracting # 4 : cost 0 2.599 * * [simplify]: Extracting # 5 : cost 0 2.600 * * [simplify]: Extracting # 6 : cost 0 2.601 * * [simplify]: Extracting # 7 : cost 0 2.602 * * [simplify]: Extracting # 8 : cost 0 2.603 * * [simplify]: Extracting # 9 : cost 0 2.604 * * [simplify]: Extracting # 10 : cost 0 2.605 * * [simplify]: Extracting # 11 : cost 0 2.606 * * [simplify]: Extracting # 12 : cost 0 2.607 * * [simplify]: Extracting # 13 : cost 0 2.608 * * [simplify]: Extracting # 14 : cost 0 2.609 * * [simplify]: Extracting # 15 : cost 0 2.610 * * [simplify]: Extracting # 16 : cost 0 2.611 * * [simplify]: Extracting # 17 : cost 0 2.613 * * [simplify]: Extracting # 18 : cost 0 2.614 * * [simplify]: Extracting # 19 : cost 0 2.614 * * [simplify]: Extracting # 20 : cost 0 2.615 * * [simplify]: Extracting # 21 : cost 0 2.615 * * [simplify]: Extracting # 22 : cost 0 2.616 * * [simplify]: Extracting # 23 : cost 0 2.616 * * [simplify]: Extracting # 24 : cost 0 2.617 * * [simplify]: Extracting # 25 : cost 0 2.618 * * [simplify]: Extracting # 26 : cost 0 2.618 * * [simplify]: Extracting # 27 : cost 0 2.619 * * [simplify]: Extracting # 28 : cost 0 2.619 * * [simplify]: Extracting # 29 : cost 0 2.620 * * [simplify]: Extracting # 30 : cost 0 2.620 * * [simplify]: Extracting # 31 : cost 0 2.621 * * [simplify]: Extracting # 32 : cost 0 2.621 * * [simplify]: iteration 0 : 369 enodes (cost 2880 ) 2.777 * * [simplify]: Extracting # 0 : cost 0 2.778 * * [simplify]: Extracting # 1 : cost 0 2.780 * * [simplify]: Extracting # 2 : cost 0 2.781 * * [simplify]: Extracting # 3 : cost 0 2.783 * * [simplify]: Extracting # 4 : cost 0 2.784 * * [simplify]: Extracting # 5 : cost 0 2.786 * * [simplify]: Extracting # 6 : cost 0 2.787 * * [simplify]: iteration 1 : 1037 enodes (cost 2720 ) 3.619 * * [simplify]: Extracting # 0 : cost 0 3.625 * * [simplify]: Extracting # 1 : cost 0 3.633 * * [simplify]: Extracting # 2 : cost 0 3.651 * * [simplify]: Extracting # 3 : cost 0 3.663 * * [simplify]: Extracting # 4 : cost 0 3.677 * * [simplify]: Extracting # 5 : cost 0 3.691 * * [simplify]: iteration 2 : 4907 enodes (cost 2552 ) 5.410 * * [simplify]: Extracting # 0 : cost 0 5.418 * * [simplify]: Extracting # 1 : cost 0 5.424 * * [simplify]: Extracting # 2 : cost 0 5.435 * * [simplify]: Extracting # 3 : cost 0 5.442 * * [simplify]: Extracting # 4 : cost 0 5.453 * * [simplify]: iteration done: 5000 enodes (cost 2549 ) 5.456 * [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)))) 5.458 * * * [progress]: adding candidates to table 6.414 * * [progress]: iteration 2 / 4 6.414 * * * [progress]: picking best candidate 6.478 * * * * [pick]: Picked # 6.478 * * * [progress]: localizing error 6.520 * * * [progress]: generating rewritten candidates 6.520 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 6.547 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 6.576 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 6.602 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 6.623 * * * [progress]: generating series expansions 6.623 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 6.625 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) into (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) 6.625 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in (n k) around 0 6.625 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in k 6.625 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in k 6.625 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in k 6.625 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 6.625 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.625 * [taylor]: Taking taylor expansion of k in k 6.625 * [backup-simplify]: Simplify 0 into 0 6.625 * [backup-simplify]: Simplify 1 into 1 6.625 * [backup-simplify]: Simplify (sqrt 0) into 0 6.626 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.626 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 6.626 * [taylor]: Taking taylor expansion of 1.0 in k 6.626 * [backup-simplify]: Simplify 1.0 into 1.0 6.626 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 6.627 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.627 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.627 * [taylor]: Taking taylor expansion of 2.0 in k 6.627 * [backup-simplify]: Simplify 2.0 into 2.0 6.627 * [taylor]: Taking taylor expansion of (* n PI) in k 6.627 * [taylor]: Taking taylor expansion of n in k 6.627 * [backup-simplify]: Simplify n into n 6.627 * [taylor]: Taking taylor expansion of PI in k 6.627 * [backup-simplify]: Simplify PI into PI 6.627 * [backup-simplify]: Simplify (* n PI) into (* n PI) 6.627 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 6.627 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 6.628 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 6.628 * [backup-simplify]: Simplify (* (sqrt 1.0) (log (* 2.0 (* n PI)))) into (* (sqrt 1.0) (log (* 2.0 (* n PI)))) 6.628 * [backup-simplify]: Simplify (exp (* (sqrt 1.0) (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) (sqrt 1.0)) 6.628 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 6.628 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 6.628 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 6.628 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 6.628 * [taylor]: Taking taylor expansion of (sqrt k) in n 6.628 * [taylor]: Taking taylor expansion of k in n 6.628 * [backup-simplify]: Simplify k into k 6.628 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 6.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 6.629 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 6.629 * [taylor]: Taking taylor expansion of 1.0 in n 6.629 * [backup-simplify]: Simplify 1.0 into 1.0 6.629 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 6.629 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.629 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.629 * [taylor]: Taking taylor expansion of 2.0 in n 6.629 * [backup-simplify]: Simplify 2.0 into 2.0 6.629 * [taylor]: Taking taylor expansion of (* n PI) in n 6.629 * [taylor]: Taking taylor expansion of n in n 6.629 * [backup-simplify]: Simplify 0 into 0 6.629 * [backup-simplify]: Simplify 1 into 1 6.629 * [taylor]: Taking taylor expansion of PI in n 6.629 * [backup-simplify]: Simplify PI into PI 6.630 * [backup-simplify]: Simplify (* 0 PI) into 0 6.630 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.631 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.632 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 6.633 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.633 * [backup-simplify]: Simplify (+ (sqrt k) (sqrt 1.0)) into (+ (sqrt k) (sqrt 1.0)) 6.634 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.635 * [backup-simplify]: Simplify (* (+ (sqrt k) (sqrt 1.0)) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))) 6.636 * [backup-simplify]: Simplify (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) 6.636 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 6.636 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 6.636 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 6.636 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 6.636 * [taylor]: Taking taylor expansion of (sqrt k) in n 6.636 * [taylor]: Taking taylor expansion of k in n 6.636 * [backup-simplify]: Simplify k into k 6.636 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 6.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 6.636 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 6.636 * [taylor]: Taking taylor expansion of 1.0 in n 6.636 * [backup-simplify]: Simplify 1.0 into 1.0 6.636 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 6.637 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.637 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.637 * [taylor]: Taking taylor expansion of 2.0 in n 6.637 * [backup-simplify]: Simplify 2.0 into 2.0 6.637 * [taylor]: Taking taylor expansion of (* n PI) in n 6.637 * [taylor]: Taking taylor expansion of n in n 6.637 * [backup-simplify]: Simplify 0 into 0 6.637 * [backup-simplify]: Simplify 1 into 1 6.637 * [taylor]: Taking taylor expansion of PI in n 6.637 * [backup-simplify]: Simplify PI into PI 6.637 * [backup-simplify]: Simplify (* 0 PI) into 0 6.637 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.638 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.639 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 6.640 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.640 * [backup-simplify]: Simplify (+ (sqrt k) (sqrt 1.0)) into (+ (sqrt k) (sqrt 1.0)) 6.641 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.642 * [backup-simplify]: Simplify (* (+ (sqrt k) (sqrt 1.0)) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))) 6.643 * [backup-simplify]: Simplify (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) 6.643 * [taylor]: Taking taylor expansion of (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) in k 6.643 * [taylor]: Taking taylor expansion of (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))) in k 6.643 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 6.643 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.643 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.643 * [taylor]: Taking taylor expansion of 2.0 in k 6.643 * [backup-simplify]: Simplify 2.0 into 2.0 6.643 * [taylor]: Taking taylor expansion of PI in k 6.643 * [backup-simplify]: Simplify PI into PI 6.643 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.644 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.644 * [taylor]: Taking taylor expansion of (log n) in k 6.644 * [taylor]: Taking taylor expansion of n in k 6.644 * [backup-simplify]: Simplify n into n 6.644 * [backup-simplify]: Simplify (log n) into (log n) 6.644 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 6.644 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.644 * [taylor]: Taking taylor expansion of k in k 6.644 * [backup-simplify]: Simplify 0 into 0 6.644 * [backup-simplify]: Simplify 1 into 1 6.644 * [backup-simplify]: Simplify (sqrt 0) into 0 6.645 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.645 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 6.645 * [taylor]: Taking taylor expansion of 1.0 in k 6.645 * [backup-simplify]: Simplify 1.0 into 1.0 6.646 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 6.647 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 6.647 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 6.648 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) into (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) 6.649 * [backup-simplify]: Simplify (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) into (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) 6.650 * [backup-simplify]: Simplify (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) into (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) 6.651 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.653 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 6.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.656 * [backup-simplify]: Simplify (+ 0 0) into 0 6.657 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.659 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) (sqrt 1.0)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 6.661 * [backup-simplify]: Simplify (* (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.661 * [taylor]: Taking taylor expansion of 0 in k 6.661 * [backup-simplify]: Simplify 0 into 0 6.661 * [backup-simplify]: Simplify 0 into 0 6.662 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 6.663 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.664 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.665 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 6.666 * [backup-simplify]: Simplify (+ 0 0) into 0 6.668 * [backup-simplify]: Simplify (+ (* (+ (log (* 2.0 PI)) (log n)) (- +nan.0)) (* 0 (sqrt 1.0))) into (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n))))) 6.671 * [backup-simplify]: Simplify (* (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))))) 6.675 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))))) into (* (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))) 6.676 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.677 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 6.681 * [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 6.682 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 6.683 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 6.683 * [backup-simplify]: Simplify (+ 0 0) into 0 6.685 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.686 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) (sqrt 1.0)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 6.689 * [backup-simplify]: Simplify (* (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.689 * [taylor]: Taking taylor expansion of 0 in k 6.689 * [backup-simplify]: Simplify 0 into 0 6.689 * [backup-simplify]: Simplify 0 into 0 6.689 * [backup-simplify]: Simplify 0 into 0 6.692 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.693 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 6.694 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 6.695 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.698 * [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 6.700 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 6.700 * [backup-simplify]: Simplify (+ 0 0) into 0 6.703 * [backup-simplify]: Simplify (+ (* (+ (log (* 2.0 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 (sqrt 1.0)))) into (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n))))) 6.709 * [backup-simplify]: Simplify (* (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (* (log (* 2.0 PI)) (log n))))))))))) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))))) 6.717 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (* (log (* 2.0 PI)) (log n))))))))))) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))))) into (* (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))) 6.741 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))) (pow (* k 1) 2)) (+ (* (* (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))) (* k 1)) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))))) into (- (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (+ (* +nan.0 (* (pow k 2) (* (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (pow (log n) 2)))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (log n))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (log n)))) (- (+ (* +nan.0 (* k (* (log (* 2.0 PI)) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))))) (- (+ (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))))) (- (* +nan.0 (* k (* (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (log n))))))))))))))))) 6.742 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) into (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) 6.742 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in (n k) around 0 6.742 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 6.742 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.742 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.742 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 6.742 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 6.742 * [taylor]: Taking taylor expansion of 1.0 in k 6.742 * [backup-simplify]: Simplify 1.0 into 1.0 6.743 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 6.744 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.744 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.744 * [taylor]: Taking taylor expansion of k in k 6.744 * [backup-simplify]: Simplify 0 into 0 6.744 * [backup-simplify]: Simplify 1 into 1 6.744 * [backup-simplify]: Simplify (/ 1 1) into 1 6.744 * [backup-simplify]: Simplify (sqrt 0) into 0 6.746 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.746 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.746 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.746 * [taylor]: Taking taylor expansion of 2.0 in k 6.746 * [backup-simplify]: Simplify 2.0 into 2.0 6.746 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.746 * [taylor]: Taking taylor expansion of PI in k 6.746 * [backup-simplify]: Simplify PI into PI 6.746 * [taylor]: Taking taylor expansion of n in k 6.746 * [backup-simplify]: Simplify n into n 6.746 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 6.746 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 6.746 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 6.747 * [backup-simplify]: Simplify (+ 0 0) into 0 6.747 * [backup-simplify]: Simplify (* 0 (log (* 2.0 (/ PI n)))) into 0 6.747 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 6.747 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ PI n))) into 0 6.748 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (/ PI n)) 1)))) 1) into 0 6.749 * [backup-simplify]: Simplify (+ (sqrt 1.0) +nan.0) into (- (sqrt 1.0) +nan.0) 6.750 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (sqrt 1.0) +nan.0) (log (* 2.0 (/ PI n))))) into (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n))))) 6.751 * [backup-simplify]: Simplify (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) into (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) 6.751 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 6.751 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.751 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.751 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 6.751 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 6.751 * [taylor]: Taking taylor expansion of 1.0 in n 6.751 * [backup-simplify]: Simplify 1.0 into 1.0 6.751 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 6.752 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 6.752 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.752 * [taylor]: Taking taylor expansion of k in n 6.752 * [backup-simplify]: Simplify k into k 6.752 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.752 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 6.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 6.753 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.753 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.753 * [taylor]: Taking taylor expansion of 2.0 in n 6.753 * [backup-simplify]: Simplify 2.0 into 2.0 6.753 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.753 * [taylor]: Taking taylor expansion of PI in n 6.753 * [backup-simplify]: Simplify PI into PI 6.753 * [taylor]: Taking taylor expansion of n in n 6.753 * [backup-simplify]: Simplify 0 into 0 6.753 * [backup-simplify]: Simplify 1 into 1 6.753 * [backup-simplify]: Simplify (/ PI 1) into PI 6.754 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.755 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.755 * [backup-simplify]: Simplify (+ (sqrt 1.0) (sqrt (/ 1 k))) into (+ (sqrt 1.0) (sqrt (/ 1 k))) 6.757 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.758 * [backup-simplify]: Simplify (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) 6.760 * [backup-simplify]: Simplify (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) 6.760 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 6.760 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.760 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.760 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 6.760 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 6.760 * [taylor]: Taking taylor expansion of 1.0 in n 6.760 * [backup-simplify]: Simplify 1.0 into 1.0 6.760 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 6.761 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 6.761 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.761 * [taylor]: Taking taylor expansion of k in n 6.761 * [backup-simplify]: Simplify k into k 6.761 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.761 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 6.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 6.761 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.761 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.761 * [taylor]: Taking taylor expansion of 2.0 in n 6.761 * [backup-simplify]: Simplify 2.0 into 2.0 6.761 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.761 * [taylor]: Taking taylor expansion of PI in n 6.761 * [backup-simplify]: Simplify PI into PI 6.761 * [taylor]: Taking taylor expansion of n in n 6.762 * [backup-simplify]: Simplify 0 into 0 6.762 * [backup-simplify]: Simplify 1 into 1 6.762 * [backup-simplify]: Simplify (/ PI 1) into PI 6.763 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.764 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.764 * [backup-simplify]: Simplify (+ (sqrt 1.0) (sqrt (/ 1 k))) into (+ (sqrt 1.0) (sqrt (/ 1 k))) 6.765 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.767 * [backup-simplify]: Simplify (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) 6.768 * [backup-simplify]: Simplify (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) 6.768 * [taylor]: Taking taylor expansion of (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k 6.768 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 6.768 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 6.768 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.768 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.769 * [taylor]: Taking taylor expansion of 2.0 in k 6.769 * [backup-simplify]: Simplify 2.0 into 2.0 6.769 * [taylor]: Taking taylor expansion of PI in k 6.769 * [backup-simplify]: Simplify PI into PI 6.769 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.770 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.770 * [taylor]: Taking taylor expansion of (log n) in k 6.770 * [taylor]: Taking taylor expansion of n in k 6.770 * [backup-simplify]: Simplify n into n 6.770 * [backup-simplify]: Simplify (log n) into (log n) 6.770 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 6.770 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 6.770 * [taylor]: Taking taylor expansion of 1.0 in k 6.770 * [backup-simplify]: Simplify 1.0 into 1.0 6.771 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 6.771 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.771 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.771 * [taylor]: Taking taylor expansion of k in k 6.771 * [backup-simplify]: Simplify 0 into 0 6.771 * [backup-simplify]: Simplify 1 into 1 6.772 * [backup-simplify]: Simplify (/ 1 1) into 1 6.772 * [backup-simplify]: Simplify (sqrt 0) into 0 6.773 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.773 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 6.774 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 6.775 * [backup-simplify]: Simplify (+ 0 0) into 0 6.776 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) 0) into 0 6.776 * [backup-simplify]: Simplify (+ (sqrt 1.0) +nan.0) into (- (sqrt 1.0) +nan.0) 6.777 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.778 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.779 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 6.779 * [backup-simplify]: Simplify (- 0) into 0 6.779 * [backup-simplify]: Simplify (+ 0 0) into 0 6.781 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- (sqrt 1.0) +nan.0)) (* 0 0)) into (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n))))) 6.783 * [backup-simplify]: Simplify (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) into (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) 6.786 * [backup-simplify]: Simplify (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) into (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) 6.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.787 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.788 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.789 * [backup-simplify]: Simplify (+ 0 0) into 0 6.789 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.790 * [backup-simplify]: Simplify (+ (* (+ (sqrt 1.0) (sqrt (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 6.792 * [backup-simplify]: Simplify (* (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.792 * [taylor]: Taking taylor expansion of 0 in k 6.792 * [backup-simplify]: Simplify 0 into 0 6.792 * [backup-simplify]: Simplify 0 into 0 6.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.794 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.794 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0) 6.795 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.797 * [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 6.798 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 6.799 * [backup-simplify]: Simplify (- 0) into 0 6.799 * [backup-simplify]: Simplify (+ 0 0) into 0 6.800 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- +nan.0)) (+ (* 0 (- (sqrt 1.0) +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n))))) 6.804 * [backup-simplify]: Simplify (* (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))))) 6.810 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))))) into (* (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n))))))) 6.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.812 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.815 * [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 6.816 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 6.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.816 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 6.816 * [backup-simplify]: Simplify (+ 0 0) into 0 6.817 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.819 * [backup-simplify]: Simplify (+ (* (+ (sqrt 1.0) (sqrt (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 6.820 * [backup-simplify]: Simplify (* (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.820 * [taylor]: Taking taylor expansion of 0 in k 6.820 * [backup-simplify]: Simplify 0 into 0 6.820 * [backup-simplify]: Simplify 0 into 0 6.820 * [backup-simplify]: Simplify 0 into 0 6.821 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 6.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.824 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0) 6.825 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.829 * [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 6.830 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 6.831 * [backup-simplify]: Simplify (- 0) into 0 6.831 * [backup-simplify]: Simplify (+ 0 0) into 0 6.833 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- (sqrt 1.0) +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n))))) 6.845 * [backup-simplify]: Simplify (* (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (* (log (* 2.0 PI)) (log n))))))))))))) 6.856 * [backup-simplify]: Simplify (* -1 (* (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (* (log (* 2.0 PI)) (log n))))))))))))) into (* (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (log n))))))))))) 6.881 * [backup-simplify]: Simplify (+ (* (* (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log (/ 1 n))) (* +nan.0 (log (/ 1 n))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (log (/ 1 n)))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log (/ 1 n)) 2)) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (log (/ 1 n)))))))))))) (pow (* (/ 1 k) 1) 2)) (+ (* (* (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log (/ 1 n))))) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log (/ 1 n))) (* +nan.0 (log (/ 1 n)))))))) (* (/ 1 k) 1)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log (/ 1 n))) (* +nan.0 (log (/ 1 n))))))))) into (- (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI))))))) (+ (* +nan.0 (/ (* (pow (log (* 2.0 PI)) 2) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (pow (log (/ 1 n)) 2) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (* 2.0 PI)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ 1 n)) (* (log (* 2.0 PI)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI))))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (* 2.0 PI)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (log (/ 1 n)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) k)) (- (* +nan.0 (/ (* (log (/ 1 n)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) (pow k 2)))))))))))))))) 6.882 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (+ (sqrt 1.0) (sqrt (/ 1 (- k))))) into (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) 6.883 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in (n k) around 0 6.883 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in k 6.883 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in k 6.883 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in k 6.883 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 6.883 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.883 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.883 * [taylor]: Taking taylor expansion of -1 in k 6.883 * [backup-simplify]: Simplify -1 into -1 6.883 * [taylor]: Taking taylor expansion of k in k 6.883 * [backup-simplify]: Simplify 0 into 0 6.883 * [backup-simplify]: Simplify 1 into 1 6.883 * [backup-simplify]: Simplify (/ -1 1) into -1 6.884 * [backup-simplify]: Simplify (sqrt 0) into 0 6.885 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.885 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 6.885 * [taylor]: Taking taylor expansion of 1.0 in k 6.885 * [backup-simplify]: Simplify 1.0 into 1.0 6.886 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 6.886 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.886 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.886 * [taylor]: Taking taylor expansion of -2.0 in k 6.886 * [backup-simplify]: Simplify -2.0 into -2.0 6.886 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.887 * [taylor]: Taking taylor expansion of PI in k 6.887 * [backup-simplify]: Simplify PI into PI 6.887 * [taylor]: Taking taylor expansion of n in k 6.887 * [backup-simplify]: Simplify n into n 6.887 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 6.887 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 6.887 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 6.887 * [backup-simplify]: Simplify (+ 0 0) into 0 6.887 * [backup-simplify]: Simplify (* 0 (log (* -2.0 (/ PI n)))) into 0 6.888 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 6.888 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 (/ PI n))) into 0 6.889 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 (/ PI n)) 1)))) 1) into 0 6.890 * [backup-simplify]: Simplify (+ +nan.0 (sqrt 1.0)) into (- (sqrt 1.0) +nan.0) 6.891 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (sqrt 1.0) +nan.0) (log (* -2.0 (/ PI n))))) into (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n))))) 6.892 * [backup-simplify]: Simplify (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) into (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) 6.892 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 6.892 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 6.892 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 6.892 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 6.892 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 6.892 * [taylor]: Taking taylor expansion of (/ -1 k) in n 6.892 * [taylor]: Taking taylor expansion of -1 in n 6.892 * [backup-simplify]: Simplify -1 into -1 6.892 * [taylor]: Taking taylor expansion of k in n 6.892 * [backup-simplify]: Simplify k into k 6.892 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 6.892 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 6.893 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 6.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 6.893 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 6.893 * [taylor]: Taking taylor expansion of 1.0 in n 6.893 * [backup-simplify]: Simplify 1.0 into 1.0 6.893 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 6.894 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.894 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.894 * [taylor]: Taking taylor expansion of -2.0 in n 6.894 * [backup-simplify]: Simplify -2.0 into -2.0 6.894 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.894 * [taylor]: Taking taylor expansion of PI in n 6.894 * [backup-simplify]: Simplify PI into PI 6.894 * [taylor]: Taking taylor expansion of n in n 6.894 * [backup-simplify]: Simplify 0 into 0 6.894 * [backup-simplify]: Simplify 1 into 1 6.895 * [backup-simplify]: Simplify (/ PI 1) into PI 6.895 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.896 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.897 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) (sqrt 1.0)) into (+ (sqrt (/ -1 k)) (sqrt 1.0)) 6.898 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.900 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) 6.902 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) 6.902 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 6.902 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 6.902 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 6.902 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 6.902 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 6.902 * [taylor]: Taking taylor expansion of (/ -1 k) in n 6.902 * [taylor]: Taking taylor expansion of -1 in n 6.902 * [backup-simplify]: Simplify -1 into -1 6.902 * [taylor]: Taking taylor expansion of k in n 6.902 * [backup-simplify]: Simplify k into k 6.902 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 6.902 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 6.902 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 6.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 6.903 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 6.903 * [taylor]: Taking taylor expansion of 1.0 in n 6.903 * [backup-simplify]: Simplify 1.0 into 1.0 6.903 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 6.904 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.904 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.904 * [taylor]: Taking taylor expansion of -2.0 in n 6.904 * [backup-simplify]: Simplify -2.0 into -2.0 6.904 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.904 * [taylor]: Taking taylor expansion of PI in n 6.904 * [backup-simplify]: Simplify PI into PI 6.904 * [taylor]: Taking taylor expansion of n in n 6.904 * [backup-simplify]: Simplify 0 into 0 6.904 * [backup-simplify]: Simplify 1 into 1 6.905 * [backup-simplify]: Simplify (/ PI 1) into PI 6.905 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.906 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.907 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) (sqrt 1.0)) into (+ (sqrt (/ -1 k)) (sqrt 1.0)) 6.908 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.910 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) 6.911 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) 6.912 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) in k 6.912 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) in k 6.912 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 6.912 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.912 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.912 * [taylor]: Taking taylor expansion of -1 in k 6.912 * [backup-simplify]: Simplify -1 into -1 6.912 * [taylor]: Taking taylor expansion of k in k 6.912 * [backup-simplify]: Simplify 0 into 0 6.912 * [backup-simplify]: Simplify 1 into 1 6.913 * [backup-simplify]: Simplify (/ -1 1) into -1 6.913 * [backup-simplify]: Simplify (sqrt 0) into 0 6.914 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.914 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 6.914 * [taylor]: Taking taylor expansion of 1.0 in k 6.914 * [backup-simplify]: Simplify 1.0 into 1.0 6.915 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 6.916 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 6.916 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 6.916 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 6.916 * [taylor]: Taking taylor expansion of -2.0 in k 6.916 * [backup-simplify]: Simplify -2.0 into -2.0 6.916 * [taylor]: Taking taylor expansion of PI in k 6.916 * [backup-simplify]: Simplify PI into PI 6.916 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.917 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.917 * [taylor]: Taking taylor expansion of (log n) in k 6.917 * [taylor]: Taking taylor expansion of n in k 6.917 * [backup-simplify]: Simplify n into n 6.918 * [backup-simplify]: Simplify (log n) into (log n) 6.918 * [backup-simplify]: Simplify (+ 0 0) into 0 6.918 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 6.919 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 6.920 * [backup-simplify]: Simplify (* 0 (- (log (* -2.0 PI)) (log n))) into 0 6.921 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 6.923 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 6.924 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 6.925 * [backup-simplify]: Simplify (- 0) into 0 6.925 * [backup-simplify]: Simplify (+ 0 0) into 0 6.926 * [backup-simplify]: Simplify (+ +nan.0 (sqrt 1.0)) into (- (sqrt 1.0) +nan.0) 6.928 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (sqrt 1.0) +nan.0) (- (log (* -2.0 PI)) (log n)))) into (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* +nan.0 (log (* -2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n))))) 6.933 * [backup-simplify]: Simplify (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* +nan.0 (log (* -2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) into (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) 6.939 * [backup-simplify]: Simplify (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) into (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) 6.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.941 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 6.943 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 6.943 * [backup-simplify]: Simplify (+ 0 0) into 0 6.945 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.947 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 6.949 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.949 * [taylor]: Taking taylor expansion of 0 in k 6.949 * [backup-simplify]: Simplify 0 into 0 6.949 * [backup-simplify]: Simplify 0 into 0 6.950 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.954 * [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 6.956 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 6.956 * [backup-simplify]: Simplify (- 0) into 0 6.957 * [backup-simplify]: Simplify (+ 0 0) into 0 6.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.961 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.961 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 6.964 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1.0) +nan.0) 0) (* (- +nan.0) (- (log (* -2.0 PI)) (log n))))) into (- (+ (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log n))))) 6.971 * [backup-simplify]: Simplify (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* +nan.0 (log (* -2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))) (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))))) 6.979 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))) (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))) (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))))) 6.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.981 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.983 * [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 6.983 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.983 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 6.984 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 6.984 * [backup-simplify]: Simplify (+ 0 0) into 0 6.991 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.993 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 6.994 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.994 * [taylor]: Taking taylor expansion of 0 in k 6.994 * [backup-simplify]: Simplify 0 into 0 6.994 * [backup-simplify]: Simplify 0 into 0 6.994 * [backup-simplify]: Simplify 0 into 0 6.995 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.998 * [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 7.000 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 7.000 * [backup-simplify]: Simplify (- 0) into 0 7.001 * [backup-simplify]: Simplify (+ 0 0) into 0 7.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.004 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 7.005 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 7.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1.0) +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* -2.0 PI)) (log n)))))) into (- (+ (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log n))))) 7.012 * [backup-simplify]: Simplify (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* +nan.0 (log (* -2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2.0 PI)))) (- (* +nan.0 (log (* -2.0 PI))))))))))))) 7.020 * [backup-simplify]: Simplify (* -1 (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2.0 PI)))) (- (* +nan.0 (log (* -2.0 PI))))))))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))))) (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))))) 7.040 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log (/ 1 (- n))) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (log (/ 1 (- n))) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2.0 PI))))))))))) (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ 1 (- n)))) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2.0 PI)))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2.0 PI))))) (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ 1 (- n)))) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2.0 PI)))))))))) (* (/ 1 (- k)) 1)) (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ 1 (- n)))) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2.0 PI))))))))))) into (- (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))))))))) (+ (* +nan.0 (/ (* (log (* -2.0 PI)) (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))))))))) (log (/ -1 n)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))))))))) (log (* -2.0 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))))))))) (log (/ -1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))))))))) (log (/ -1 n))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))))))))) (log (* -2.0 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))))))))) (pow (log (* -2.0 PI)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))))))))) (pow (log (/ -1 n)) 2)) (pow k 2)))))))))))))))) 7.040 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 7.042 * [backup-simplify]: Simplify (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) into (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) 7.042 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in (n k) around 0 7.042 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in k 7.042 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in k 7.042 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in k 7.042 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in k 7.042 * [taylor]: Taking taylor expansion of 0.5 in k 7.042 * [backup-simplify]: Simplify 0.5 into 0.5 7.042 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in k 7.042 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 7.042 * [taylor]: Taking taylor expansion of 1.0 in k 7.042 * [backup-simplify]: Simplify 1.0 into 1.0 7.043 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.044 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.044 * [taylor]: Taking taylor expansion of k in k 7.044 * [backup-simplify]: Simplify 0 into 0 7.044 * [backup-simplify]: Simplify 1 into 1 7.044 * [backup-simplify]: Simplify (sqrt 0) into 0 7.046 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.046 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in k 7.046 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in k 7.046 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in k 7.046 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in k 7.046 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 7.046 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.046 * [taylor]: Taking taylor expansion of k in k 7.046 * [backup-simplify]: Simplify 0 into 0 7.046 * [backup-simplify]: Simplify 1 into 1 7.046 * [backup-simplify]: Simplify (sqrt 0) into 0 7.048 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.048 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 7.048 * [taylor]: Taking taylor expansion of 1.0 in k 7.048 * [backup-simplify]: Simplify 1.0 into 1.0 7.048 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.049 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 7.049 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 7.049 * [taylor]: Taking taylor expansion of 2.0 in k 7.049 * [backup-simplify]: Simplify 2.0 into 2.0 7.049 * [taylor]: Taking taylor expansion of (* n PI) in k 7.049 * [taylor]: Taking taylor expansion of n in k 7.049 * [backup-simplify]: Simplify n into n 7.049 * [taylor]: Taking taylor expansion of PI in k 7.049 * [backup-simplify]: Simplify PI into PI 7.049 * [backup-simplify]: Simplify (* n PI) into (* n PI) 7.049 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 7.049 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 7.050 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 7.051 * [backup-simplify]: Simplify (* (sqrt 1.0) (log (* 2.0 (* n PI)))) into (* (sqrt 1.0) (log (* 2.0 (* n PI)))) 7.051 * [backup-simplify]: Simplify (exp (* (sqrt 1.0) (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) (sqrt 1.0)) 7.052 * [backup-simplify]: Simplify (log (pow (* 2.0 (* n PI)) (sqrt 1.0))) into (log (pow (* 2.0 (* n PI)) (sqrt 1.0))) 7.054 * [backup-simplify]: Simplify (- 0) into 0 7.055 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 7.056 * [backup-simplify]: Simplify (* 0.5 (sqrt 1.0)) into (* 0.5 (sqrt 1.0)) 7.057 * [backup-simplify]: Simplify (* (* 0.5 (sqrt 1.0)) (log (pow (* 2.0 (* n PI)) (sqrt 1.0)))) into (* 0.5 (* (log (pow (* 2.0 (* n PI)) (sqrt 1.0))) (sqrt 1.0))) 7.058 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (pow (* 2.0 (* n PI)) (sqrt 1.0))) (sqrt 1.0)))) into (exp (* 0.5 (* (log (pow (* 2.0 (* n PI)) (sqrt 1.0))) (sqrt 1.0)))) 7.058 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in n 7.059 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in n 7.059 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in n 7.059 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in n 7.059 * [taylor]: Taking taylor expansion of 0.5 in n 7.059 * [backup-simplify]: Simplify 0.5 into 0.5 7.059 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in n 7.059 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 7.059 * [taylor]: Taking taylor expansion of 1.0 in n 7.059 * [backup-simplify]: Simplify 1.0 into 1.0 7.059 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.060 * [taylor]: Taking taylor expansion of (sqrt k) in n 7.060 * [taylor]: Taking taylor expansion of k in n 7.060 * [backup-simplify]: Simplify k into k 7.060 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 7.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 7.060 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in n 7.060 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 7.060 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 7.060 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 7.060 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 7.060 * [taylor]: Taking taylor expansion of (sqrt k) in n 7.060 * [taylor]: Taking taylor expansion of k in n 7.060 * [backup-simplify]: Simplify k into k 7.061 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 7.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 7.061 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 7.061 * [taylor]: Taking taylor expansion of 1.0 in n 7.061 * [backup-simplify]: Simplify 1.0 into 1.0 7.061 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.062 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.062 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.062 * [taylor]: Taking taylor expansion of 2.0 in n 7.062 * [backup-simplify]: Simplify 2.0 into 2.0 7.062 * [taylor]: Taking taylor expansion of (* n PI) in n 7.062 * [taylor]: Taking taylor expansion of n in n 7.062 * [backup-simplify]: Simplify 0 into 0 7.062 * [backup-simplify]: Simplify 1 into 1 7.062 * [taylor]: Taking taylor expansion of PI in n 7.062 * [backup-simplify]: Simplify PI into PI 7.063 * [backup-simplify]: Simplify (* 0 PI) into 0 7.063 * [backup-simplify]: Simplify (* 2.0 0) into 0 7.065 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.066 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 7.068 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.068 * [backup-simplify]: Simplify (+ (sqrt k) (sqrt 1.0)) into (+ (sqrt k) (sqrt 1.0)) 7.069 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.071 * [backup-simplify]: Simplify (* (+ (sqrt k) (sqrt 1.0)) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))) 7.073 * [backup-simplify]: Simplify (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) 7.074 * [backup-simplify]: Simplify (log (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))) 7.074 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 7.075 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt k))) into (- (sqrt 1.0) (sqrt k)) 7.075 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt k))) into (* 0.5 (- (sqrt 1.0) (sqrt k))) 7.076 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))) 7.077 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) into (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) 7.077 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in n 7.077 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in n 7.077 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in n 7.077 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in n 7.077 * [taylor]: Taking taylor expansion of 0.5 in n 7.077 * [backup-simplify]: Simplify 0.5 into 0.5 7.077 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in n 7.077 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 7.077 * [taylor]: Taking taylor expansion of 1.0 in n 7.077 * [backup-simplify]: Simplify 1.0 into 1.0 7.078 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.078 * [taylor]: Taking taylor expansion of (sqrt k) in n 7.078 * [taylor]: Taking taylor expansion of k in n 7.078 * [backup-simplify]: Simplify k into k 7.078 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 7.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 7.078 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in n 7.078 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 7.078 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 7.078 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 7.078 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 7.078 * [taylor]: Taking taylor expansion of (sqrt k) in n 7.078 * [taylor]: Taking taylor expansion of k in n 7.078 * [backup-simplify]: Simplify k into k 7.079 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 7.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 7.079 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 7.079 * [taylor]: Taking taylor expansion of 1.0 in n 7.079 * [backup-simplify]: Simplify 1.0 into 1.0 7.079 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.079 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.079 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.079 * [taylor]: Taking taylor expansion of 2.0 in n 7.079 * [backup-simplify]: Simplify 2.0 into 2.0 7.079 * [taylor]: Taking taylor expansion of (* n PI) in n 7.079 * [taylor]: Taking taylor expansion of n in n 7.079 * [backup-simplify]: Simplify 0 into 0 7.079 * [backup-simplify]: Simplify 1 into 1 7.079 * [taylor]: Taking taylor expansion of PI in n 7.079 * [backup-simplify]: Simplify PI into PI 7.080 * [backup-simplify]: Simplify (* 0 PI) into 0 7.080 * [backup-simplify]: Simplify (* 2.0 0) into 0 7.081 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.082 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 7.082 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.083 * [backup-simplify]: Simplify (+ (sqrt k) (sqrt 1.0)) into (+ (sqrt k) (sqrt 1.0)) 7.084 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.084 * [backup-simplify]: Simplify (* (+ (sqrt k) (sqrt 1.0)) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))) 7.085 * [backup-simplify]: Simplify (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) 7.086 * [backup-simplify]: Simplify (log (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))) 7.086 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 7.087 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt k))) into (- (sqrt 1.0) (sqrt k)) 7.087 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt k))) into (* 0.5 (- (sqrt 1.0) (sqrt k))) 7.088 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))) 7.089 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) into (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) 7.089 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) in k 7.090 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))) in k 7.090 * [taylor]: Taking taylor expansion of 0.5 in k 7.090 * [backup-simplify]: Simplify 0.5 into 0.5 7.090 * [taylor]: Taking taylor expansion of (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))) in k 7.090 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 7.090 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.090 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.090 * [taylor]: Taking taylor expansion of 2.0 in k 7.090 * [backup-simplify]: Simplify 2.0 into 2.0 7.090 * [taylor]: Taking taylor expansion of PI in k 7.090 * [backup-simplify]: Simplify PI into PI 7.090 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.091 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.091 * [taylor]: Taking taylor expansion of (log n) in k 7.091 * [taylor]: Taking taylor expansion of n in k 7.091 * [backup-simplify]: Simplify n into n 7.091 * [backup-simplify]: Simplify (log n) into (log n) 7.091 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))) in k 7.091 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 7.091 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.091 * [taylor]: Taking taylor expansion of k in k 7.091 * [backup-simplify]: Simplify 0 into 0 7.091 * [backup-simplify]: Simplify 1 into 1 7.091 * [backup-simplify]: Simplify (sqrt 0) into 0 7.092 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.092 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 7.092 * [taylor]: Taking taylor expansion of 1.0 in k 7.092 * [backup-simplify]: Simplify 1.0 into 1.0 7.092 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.093 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in k 7.093 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 7.093 * [taylor]: Taking taylor expansion of 1.0 in k 7.093 * [backup-simplify]: Simplify 1.0 into 1.0 7.093 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.093 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.093 * [taylor]: Taking taylor expansion of k in k 7.093 * [backup-simplify]: Simplify 0 into 0 7.094 * [backup-simplify]: Simplify 1 into 1 7.094 * [backup-simplify]: Simplify (sqrt 0) into 0 7.095 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.095 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 7.102 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 7.103 * [backup-simplify]: Simplify (- 0) into 0 7.103 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 7.104 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 7.105 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)) into (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)) 7.107 * [backup-simplify]: Simplify (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))) into (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))) 7.108 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) into (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) 7.109 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) into (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) 7.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.112 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 7.113 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.114 * [backup-simplify]: Simplify (+ 0 0) into 0 7.115 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.117 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) (sqrt 1.0)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 7.119 * [backup-simplify]: Simplify (* (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 7.122 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) 1)))) 1) into 0 7.123 * [backup-simplify]: Simplify (- 0) into 0 7.123 * [backup-simplify]: Simplify (+ 0 0) into 0 7.124 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- (sqrt 1.0) (sqrt k)))) into 0 7.126 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt k))) 0) (* 0 (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))) into 0 7.129 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.129 * [taylor]: Taking taylor expansion of 0 in k 7.129 * [backup-simplify]: Simplify 0 into 0 7.129 * [backup-simplify]: Simplify 0 into 0 7.130 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.130 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.130 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 7.132 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- +nan.0)) (* (- +nan.0) (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0))) 7.133 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.134 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.134 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 7.135 * [backup-simplify]: Simplify (+ 0 0) into 0 7.137 * [backup-simplify]: Simplify (+ (* (+ (log (* 2.0 PI)) (log n)) (- (* +nan.0 (sqrt 1.0)))) (* 0 (pow (sqrt 1.0) 2))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n)))))) 7.140 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))))) (* 0 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n)))))) 7.144 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) 7.147 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) into (* (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) 7.148 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.149 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.151 * [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 7.152 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 7.152 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 7.152 * [backup-simplify]: Simplify (+ 0 0) into 0 7.154 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.155 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) (sqrt 1.0)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 7.156 * [backup-simplify]: Simplify (* (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.159 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) 1)))) 2) into 0 7.160 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 7.160 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 7.161 * [backup-simplify]: Simplify (- 0) into 0 7.161 * [backup-simplify]: Simplify (+ 0 0) into 0 7.162 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- (sqrt 1.0) (sqrt k))))) into 0 7.163 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt k))) 0) (+ (* 0 0) (* 0 (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))))) into 0 7.165 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.165 * [taylor]: Taking taylor expansion of 0 in k 7.165 * [backup-simplify]: Simplify 0 into 0 7.165 * [backup-simplify]: Simplify 0 into 0 7.165 * [backup-simplify]: Simplify 0 into 0 7.166 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 7.167 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.168 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.168 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.170 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.171 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 7.171 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 7.174 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) (sqrt 1.0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 7.175 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.176 * [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 7.178 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 7.178 * [backup-simplify]: Simplify (+ 0 0) into 0 7.181 * [backup-simplify]: Simplify (+ (* (+ (log (* 2.0 PI)) (log n)) (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (* +nan.0 (sqrt 1.0)))) (* 0 (pow (sqrt 1.0) 2)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 7.190 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))))) (* 0 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 7.209 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) 7.220 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) into (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))))) 7.242 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))))) (pow (* k 1) 2)) (+ (* (* (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) (* k 1)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) into (- (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* +nan.0 (* k (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))) (- (+ (* +nan.0 (* k (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))))) (- (+ (* +nan.0 (* (pow k 2) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (pow (log n) 2))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))) (- (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))))))))))))))))))))) 7.244 * [backup-simplify]: Simplify (pow (pow (* (* 2.0 PI) (/ 1 n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (/ (- (sqrt 1.0) (sqrt (/ 1 k))) 2.0)) into (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) 7.244 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in (n k) around 0 7.244 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in k 7.244 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in k 7.244 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in k 7.245 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in k 7.245 * [taylor]: Taking taylor expansion of 0.5 in k 7.245 * [backup-simplify]: Simplify 0.5 into 0.5 7.245 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in k 7.245 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 7.245 * [taylor]: Taking taylor expansion of 1.0 in k 7.245 * [backup-simplify]: Simplify 1.0 into 1.0 7.245 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.246 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.246 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.246 * [taylor]: Taking taylor expansion of k in k 7.246 * [backup-simplify]: Simplify 0 into 0 7.246 * [backup-simplify]: Simplify 1 into 1 7.246 * [backup-simplify]: Simplify (/ 1 1) into 1 7.246 * [backup-simplify]: Simplify (sqrt 0) into 0 7.247 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.247 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k 7.247 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 7.247 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 7.247 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 7.247 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 7.247 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 7.247 * [taylor]: Taking taylor expansion of 1.0 in k 7.247 * [backup-simplify]: Simplify 1.0 into 1.0 7.248 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.248 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.248 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.248 * [taylor]: Taking taylor expansion of k in k 7.248 * [backup-simplify]: Simplify 0 into 0 7.248 * [backup-simplify]: Simplify 1 into 1 7.248 * [backup-simplify]: Simplify (/ 1 1) into 1 7.249 * [backup-simplify]: Simplify (sqrt 0) into 0 7.249 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.249 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 7.249 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 7.249 * [taylor]: Taking taylor expansion of 2.0 in k 7.249 * [backup-simplify]: Simplify 2.0 into 2.0 7.249 * [taylor]: Taking taylor expansion of (/ PI n) in k 7.249 * [taylor]: Taking taylor expansion of PI in k 7.249 * [backup-simplify]: Simplify PI into PI 7.250 * [taylor]: Taking taylor expansion of n in k 7.250 * [backup-simplify]: Simplify n into n 7.250 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 7.250 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 7.250 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 7.250 * [backup-simplify]: Simplify (+ 0 0) into 0 7.250 * [backup-simplify]: Simplify (* 0 (log (* 2.0 (/ PI n)))) into 0 7.250 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 7.250 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ PI n))) into 0 7.251 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (/ PI n)) 1)))) 1) into 0 7.252 * [backup-simplify]: Simplify (+ (sqrt 1.0) +nan.0) into (- (sqrt 1.0) +nan.0) 7.252 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (sqrt 1.0) +nan.0) (log (* 2.0 (/ PI n))))) into (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n))))) 7.253 * [backup-simplify]: Simplify (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) into (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) 7.253 * [backup-simplify]: Simplify (log (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n))))))) into (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n))))) 7.254 * [backup-simplify]: Simplify (- 0) into 0 7.254 * [backup-simplify]: Simplify (+ 0 0) into 0 7.254 * [backup-simplify]: Simplify (* 0.5 0) into 0 7.255 * [backup-simplify]: Simplify (* 0 (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) into 0 7.255 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.255 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 7.256 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (/ PI n)) 1)))) 2) into 0 7.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.259 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.259 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0) 7.260 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1.0) +nan.0) 0) (* (- +nan.0) (log (* 2.0 (/ PI n)))))) into (- (* +nan.0 (log (* 2.0 (/ PI n))))) 7.261 * [backup-simplify]: Simplify (* (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2.0 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) (log (* 2.0 (/ PI n))))) 7.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) (log (* 2.0 (/ PI n)))))) 1)) (pow (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* 2.0 (/ PI n)))) 7.262 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.263 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- +nan.0)) into (- (sqrt 1.0) +nan.0) 7.265 * [backup-simplify]: Simplify (+ (* 0.5 (- (sqrt 1.0) +nan.0)) (* 0 0)) into (- (* 0.5 (sqrt 1.0)) +nan.0) 7.266 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* 2.0 (/ PI n))))) (* (- (* 0.5 (sqrt 1.0)) +nan.0) (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n))))))) into (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* 2.0 (/ PI n))))) (+ (* +nan.0 (log (* 2.0 (/ PI n)))) (- (* +nan.0 (* (sqrt 1.0) (log (* 2.0 (/ PI n)))))))) 7.267 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* 2.0 (/ PI n))))) (+ (* +nan.0 (log (* 2.0 (/ PI n)))) (- (* +nan.0 (* (sqrt 1.0) (log (* 2.0 (/ PI n))))))))) into (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* 2.0 (/ PI n))))) (+ (* +nan.0 (* (sqrt 1.0) (log (* 2.0 (/ PI n))))) (- (* +nan.0 (log (* 2.0 (/ PI n)))))))) 7.267 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in n 7.267 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in n 7.267 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in n 7.267 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in n 7.267 * [taylor]: Taking taylor expansion of 0.5 in n 7.267 * [backup-simplify]: Simplify 0.5 into 0.5 7.267 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in n 7.267 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 7.267 * [taylor]: Taking taylor expansion of 1.0 in n 7.267 * [backup-simplify]: Simplify 1.0 into 1.0 7.268 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.268 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 7.268 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.268 * [taylor]: Taking taylor expansion of k in n 7.268 * [backup-simplify]: Simplify k into k 7.268 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.268 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 7.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 7.269 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in n 7.269 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 7.269 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 7.269 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 7.269 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 7.269 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 7.269 * [taylor]: Taking taylor expansion of 1.0 in n 7.269 * [backup-simplify]: Simplify 1.0 into 1.0 7.269 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.269 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 7.269 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.269 * [taylor]: Taking taylor expansion of k in n 7.269 * [backup-simplify]: Simplify k into k 7.269 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.270 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 7.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 7.270 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.270 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.270 * [taylor]: Taking taylor expansion of 2.0 in n 7.270 * [backup-simplify]: Simplify 2.0 into 2.0 7.270 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.270 * [taylor]: Taking taylor expansion of PI in n 7.270 * [backup-simplify]: Simplify PI into PI 7.270 * [taylor]: Taking taylor expansion of n in n 7.270 * [backup-simplify]: Simplify 0 into 0 7.270 * [backup-simplify]: Simplify 1 into 1 7.270 * [backup-simplify]: Simplify (/ PI 1) into PI 7.270 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.271 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.271 * [backup-simplify]: Simplify (+ (sqrt 1.0) (sqrt (/ 1 k))) into (+ (sqrt 1.0) (sqrt (/ 1 k))) 7.272 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.273 * [backup-simplify]: Simplify (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) 7.275 * [backup-simplify]: Simplify (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) 7.276 * [backup-simplify]: Simplify (log (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) 7.277 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 7.277 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt (/ 1 k)))) into (- (sqrt 1.0) (sqrt (/ 1 k))) 7.278 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) into (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) 7.280 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) 7.282 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) 7.282 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in n 7.282 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in n 7.282 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in n 7.282 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in n 7.282 * [taylor]: Taking taylor expansion of 0.5 in n 7.282 * [backup-simplify]: Simplify 0.5 into 0.5 7.282 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in n 7.282 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 7.282 * [taylor]: Taking taylor expansion of 1.0 in n 7.282 * [backup-simplify]: Simplify 1.0 into 1.0 7.283 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.283 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 7.283 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.283 * [taylor]: Taking taylor expansion of k in n 7.284 * [backup-simplify]: Simplify k into k 7.284 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.284 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 7.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 7.284 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in n 7.284 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 7.284 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 7.284 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 7.284 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 7.284 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 7.284 * [taylor]: Taking taylor expansion of 1.0 in n 7.284 * [backup-simplify]: Simplify 1.0 into 1.0 7.285 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.285 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 7.285 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.285 * [taylor]: Taking taylor expansion of k in n 7.286 * [backup-simplify]: Simplify k into k 7.286 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.286 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 7.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 7.286 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.286 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.286 * [taylor]: Taking taylor expansion of 2.0 in n 7.286 * [backup-simplify]: Simplify 2.0 into 2.0 7.286 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.286 * [taylor]: Taking taylor expansion of PI in n 7.286 * [backup-simplify]: Simplify PI into PI 7.286 * [taylor]: Taking taylor expansion of n in n 7.286 * [backup-simplify]: Simplify 0 into 0 7.286 * [backup-simplify]: Simplify 1 into 1 7.287 * [backup-simplify]: Simplify (/ PI 1) into PI 7.287 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.288 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.289 * [backup-simplify]: Simplify (+ (sqrt 1.0) (sqrt (/ 1 k))) into (+ (sqrt 1.0) (sqrt (/ 1 k))) 7.290 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.291 * [backup-simplify]: Simplify (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) 7.292 * [backup-simplify]: Simplify (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) 7.293 * [backup-simplify]: Simplify (log (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) 7.293 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 7.293 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt (/ 1 k)))) into (- (sqrt 1.0) (sqrt (/ 1 k))) 7.294 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) into (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) 7.295 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) 7.296 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) 7.296 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in k 7.296 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in k 7.296 * [taylor]: Taking taylor expansion of 0.5 in k 7.296 * [backup-simplify]: Simplify 0.5 into 0.5 7.296 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k 7.297 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 7.297 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.297 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.297 * [taylor]: Taking taylor expansion of 2.0 in k 7.297 * [backup-simplify]: Simplify 2.0 into 2.0 7.297 * [taylor]: Taking taylor expansion of PI in k 7.297 * [backup-simplify]: Simplify PI into PI 7.297 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.298 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.298 * [taylor]: Taking taylor expansion of (log n) in k 7.298 * [taylor]: Taking taylor expansion of n in k 7.298 * [backup-simplify]: Simplify n into n 7.298 * [backup-simplify]: Simplify (log n) into (log n) 7.298 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 7.298 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in k 7.298 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 7.298 * [taylor]: Taking taylor expansion of 1.0 in k 7.298 * [backup-simplify]: Simplify 1.0 into 1.0 7.298 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.298 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.298 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.298 * [taylor]: Taking taylor expansion of k in k 7.298 * [backup-simplify]: Simplify 0 into 0 7.299 * [backup-simplify]: Simplify 1 into 1 7.299 * [backup-simplify]: Simplify (/ 1 1) into 1 7.299 * [backup-simplify]: Simplify (sqrt 0) into 0 7.300 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.300 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 7.300 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 7.300 * [taylor]: Taking taylor expansion of 1.0 in k 7.300 * [backup-simplify]: Simplify 1.0 into 1.0 7.300 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.301 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.301 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.301 * [taylor]: Taking taylor expansion of k in k 7.301 * [backup-simplify]: Simplify 0 into 0 7.301 * [backup-simplify]: Simplify 1 into 1 7.301 * [backup-simplify]: Simplify (/ 1 1) into 1 7.301 * [backup-simplify]: Simplify (sqrt 0) into 0 7.302 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.302 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 7.303 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 7.303 * [backup-simplify]: Simplify (- 0) into 0 7.303 * [backup-simplify]: Simplify (+ 0 0) into 0 7.303 * [backup-simplify]: Simplify (+ 0 0) into 0 7.304 * [backup-simplify]: Simplify (* 0 0) into 0 7.304 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) 0) into 0 7.305 * [backup-simplify]: Simplify (* 0.5 0) into 0 7.305 * [backup-simplify]: Simplify (+ (sqrt 1.0) +nan.0) into (- (sqrt 1.0) +nan.0) 7.305 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.306 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- +nan.0)) into (- (sqrt 1.0) +nan.0) 7.307 * [backup-simplify]: Simplify (+ (* 0 (- (sqrt 1.0) +nan.0)) (* (- (sqrt 1.0) +nan.0) 0)) into 0 7.307 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.314 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.315 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 7.315 * [backup-simplify]: Simplify (- 0) into 0 7.315 * [backup-simplify]: Simplify (+ 0 0) into 0 7.316 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 0)) into 0 7.316 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 0)) into 0 7.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.319 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.320 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0) 7.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.324 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.324 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.325 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.330 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* (- (sqrt 1.0) +nan.0) (- (sqrt 1.0) +nan.0)) (* (- +nan.0) 0))) into (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 7.331 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.333 * [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 7.334 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 7.334 * [backup-simplify]: Simplify (- 0) into 0 7.334 * [backup-simplify]: Simplify (+ 0 0) into 0 7.338 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 0) (* 0 0))) into (- (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2)) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n))))))))) 7.344 * [backup-simplify]: Simplify (+ (* 0.5 (- (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2)) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0))) into (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n))))))))) 7.351 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) into (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) 7.358 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) into (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) 7.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.359 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.360 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.361 * [backup-simplify]: Simplify (+ 0 0) into 0 7.362 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.363 * [backup-simplify]: Simplify (+ (* (+ (sqrt 1.0) (sqrt (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 7.365 * [backup-simplify]: Simplify (* (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.368 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) 1)))) 1) into 0 7.368 * [backup-simplify]: Simplify (- 0) into 0 7.369 * [backup-simplify]: Simplify (+ 0 0) into 0 7.370 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- (sqrt 1.0) (sqrt (/ 1 k))))) into 0 7.372 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) into 0 7.375 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.375 * [taylor]: Taking taylor expansion of 0 in k 7.375 * [backup-simplify]: Simplify 0 into 0 7.375 * [backup-simplify]: Simplify 0 into 0 7.376 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 7.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.380 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.380 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0) 7.380 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 7.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.383 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.384 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.389 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* (- (sqrt 1.0) +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- (sqrt 1.0) +nan.0)) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 7.390 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.393 * [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 7.395 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 7.395 * [backup-simplify]: Simplify (- 0) into 0 7.395 * [backup-simplify]: Simplify (+ 0 0) into 0 7.399 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 7.426 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2)) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 7.436 * [backup-simplify]: Simplify (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 1) 1)))) into (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) 7.447 * [backup-simplify]: Simplify (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) into (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 7.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.448 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.450 * [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 7.451 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 7.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.451 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 7.452 * [backup-simplify]: Simplify (+ 0 0) into 0 7.453 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.454 * [backup-simplify]: Simplify (+ (* (+ (sqrt 1.0) (sqrt (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 7.457 * [backup-simplify]: Simplify (* (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.462 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) 1)))) 2) into 0 7.463 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 7.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.464 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 7.465 * [backup-simplify]: Simplify (- 0) into 0 7.465 * [backup-simplify]: Simplify (+ 0 0) into 0 7.466 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- (sqrt 1.0) (sqrt (/ 1 k)))))) into 0 7.469 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) 0) (+ (* 0 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) into 0 7.473 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.473 * [taylor]: Taking taylor expansion of 0 in k 7.473 * [backup-simplify]: Simplify 0 into 0 7.473 * [backup-simplify]: Simplify 0 into 0 7.473 * [backup-simplify]: Simplify 0 into 0 7.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 7.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.480 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.481 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0) 7.482 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 7.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.488 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.489 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.490 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.502 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* (- (sqrt 1.0) +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- (sqrt 1.0) +nan.0)) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 7.504 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.513 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2.0 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2.0 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2.0 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2.0 PI) 1)))) 24) into 0 7.516 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 7.517 * [backup-simplify]: Simplify (- 0) into 0 7.517 * [backup-simplify]: Simplify (+ 0 0) into 0 7.521 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 7.542 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2)) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 7.568 * [backup-simplify]: Simplify (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 1) 1)))) into (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))))))))))))))))))))))))) 7.618 * [backup-simplify]: Simplify (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))))))))))))))))))))))))) into (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (pow (log (* 2.0 PI)) 2))))))))))))))))))))))))))) 7.691 * [backup-simplify]: Simplify (+ (* (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 n)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n))))))))))) (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log (/ 1 n))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (log (/ 1 n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (log (/ 1 n))))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log (/ 1 n)) 2))) (- (+ (* +nan.0 (pow (log (/ 1 n)) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log (/ 1 n)) 2))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (pow (log (* 2.0 PI)) 2))))))))))))))))))))))))))) (pow (* (/ 1 k) 1) 2)) (+ (* (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 n)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n))))))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n)))))))))) (* (/ 1 k) 1)) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 n)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n))))))))))))) into (- (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log (/ 1 n))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (* 2.0 PI)) (log (/ 1 n)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (log (* 2.0 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log (/ 1 n))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (log (* 2.0 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (* 2.0 PI)) (sqrt 1.0))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (* 2.0 PI)) (sqrt 1.0))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (pow (log (* 2.0 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (pow (log (/ 1 n)) 2) (sqrt 1.0))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (log (/ 1 n))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (/ 1 n)) (sqrt 1.0))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (pow (log (/ 1 n)) 2) (pow (sqrt 1.0) 2))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (/ 1 n)) (sqrt 1.0))) k))))))))))))))))))))))))))))))))))) 7.694 * [backup-simplify]: Simplify (pow (pow (* (* 2.0 PI) (/ 1 (- n))) (+ (sqrt 1.0) (sqrt (/ 1 (- k))))) (/ (- (sqrt 1.0) (sqrt (/ 1 (- k)))) 2.0)) into (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) 7.694 * [approximate]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in (n k) around 0 7.694 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in k 7.694 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in k 7.694 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in k 7.694 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in k 7.694 * [taylor]: Taking taylor expansion of 0.5 in k 7.694 * [backup-simplify]: Simplify 0.5 into 0.5 7.694 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in k 7.694 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 7.694 * [taylor]: Taking taylor expansion of 1.0 in k 7.694 * [backup-simplify]: Simplify 1.0 into 1.0 7.694 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.695 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.695 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.695 * [taylor]: Taking taylor expansion of -1 in k 7.695 * [backup-simplify]: Simplify -1 into -1 7.695 * [taylor]: Taking taylor expansion of k in k 7.695 * [backup-simplify]: Simplify 0 into 0 7.695 * [backup-simplify]: Simplify 1 into 1 7.696 * [backup-simplify]: Simplify (/ -1 1) into -1 7.696 * [backup-simplify]: Simplify (sqrt 0) into 0 7.698 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.698 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in k 7.698 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in k 7.698 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in k 7.698 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in k 7.698 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 7.698 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.698 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.698 * [taylor]: Taking taylor expansion of -1 in k 7.698 * [backup-simplify]: Simplify -1 into -1 7.698 * [taylor]: Taking taylor expansion of k in k 7.698 * [backup-simplify]: Simplify 0 into 0 7.698 * [backup-simplify]: Simplify 1 into 1 7.699 * [backup-simplify]: Simplify (/ -1 1) into -1 7.699 * [backup-simplify]: Simplify (sqrt 0) into 0 7.700 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.700 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 7.700 * [taylor]: Taking taylor expansion of 1.0 in k 7.701 * [backup-simplify]: Simplify 1.0 into 1.0 7.701 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.702 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 7.702 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 7.702 * [taylor]: Taking taylor expansion of -2.0 in k 7.702 * [backup-simplify]: Simplify -2.0 into -2.0 7.702 * [taylor]: Taking taylor expansion of (/ PI n) in k 7.702 * [taylor]: Taking taylor expansion of PI in k 7.702 * [backup-simplify]: Simplify PI into PI 7.702 * [taylor]: Taking taylor expansion of n in k 7.702 * [backup-simplify]: Simplify n into n 7.702 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 7.702 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 7.702 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 7.703 * [backup-simplify]: Simplify (+ 0 0) into 0 7.703 * [backup-simplify]: Simplify (* 0 (log (* -2.0 (/ PI n)))) into 0 7.703 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 7.704 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 (/ PI n))) into 0 7.705 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 (/ PI n)) 1)))) 1) into 0 7.705 * [backup-simplify]: Simplify (+ +nan.0 (sqrt 1.0)) into (- (sqrt 1.0) +nan.0) 7.707 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (sqrt 1.0) +nan.0) (log (* -2.0 (/ PI n))))) into (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n))))) 7.708 * [backup-simplify]: Simplify (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) into (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) 7.708 * [backup-simplify]: Simplify (log (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n))))))) into (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n))))) 7.709 * [backup-simplify]: Simplify (- 0) into 0 7.709 * [backup-simplify]: Simplify (+ 0 0) into 0 7.710 * [backup-simplify]: Simplify (* 0.5 0) into 0 7.710 * [backup-simplify]: Simplify (* 0 (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) into 0 7.711 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.711 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 7.713 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 (/ PI n)) 1)))) 2) into 0 7.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.716 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.716 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 7.717 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1.0) +nan.0) 0) (* (- +nan.0) (log (* -2.0 (/ PI n)))))) into (- (* +nan.0 (log (* -2.0 (/ PI n))))) 7.718 * [backup-simplify]: Simplify (* (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2.0 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) (log (* -2.0 (/ PI n))))) 7.719 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) (log (* -2.0 (/ PI n)))))) 1)) (pow (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* -2.0 (/ PI n)))) 7.719 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.720 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- +nan.0)) into (- (sqrt 1.0) +nan.0) 7.722 * [backup-simplify]: Simplify (+ (* 0.5 (- (sqrt 1.0) +nan.0)) (* 0 0)) into (- (* 0.5 (sqrt 1.0)) +nan.0) 7.723 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* -2.0 (/ PI n))))) (* (- (* 0.5 (sqrt 1.0)) +nan.0) (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n))))))) into (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 (/ PI n))))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 (/ PI n))))) (- (* +nan.0 (log (* -2.0 (/ PI n))))))) 7.724 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 (/ PI n))))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 (/ PI n))))) (- (* +nan.0 (log (* -2.0 (/ PI n)))))))) into (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 (/ PI n))))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 (/ PI n))))) (- (* +nan.0 (log (* -2.0 (/ PI n)))))))) 7.724 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in n 7.724 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in n 7.724 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in n 7.724 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in n 7.724 * [taylor]: Taking taylor expansion of 0.5 in n 7.724 * [backup-simplify]: Simplify 0.5 into 0.5 7.724 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in n 7.724 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 7.724 * [taylor]: Taking taylor expansion of 1.0 in n 7.724 * [backup-simplify]: Simplify 1.0 into 1.0 7.725 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.725 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 7.725 * [taylor]: Taking taylor expansion of (/ -1 k) in n 7.725 * [taylor]: Taking taylor expansion of -1 in n 7.725 * [backup-simplify]: Simplify -1 into -1 7.725 * [taylor]: Taking taylor expansion of k in n 7.725 * [backup-simplify]: Simplify k into k 7.725 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 7.725 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 7.725 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 7.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 7.726 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in n 7.726 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 7.726 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 7.726 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 7.726 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 7.726 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 7.726 * [taylor]: Taking taylor expansion of (/ -1 k) in n 7.726 * [taylor]: Taking taylor expansion of -1 in n 7.726 * [backup-simplify]: Simplify -1 into -1 7.726 * [taylor]: Taking taylor expansion of k in n 7.726 * [backup-simplify]: Simplify k into k 7.726 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 7.726 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 7.726 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 7.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 7.726 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 7.726 * [taylor]: Taking taylor expansion of 1.0 in n 7.726 * [backup-simplify]: Simplify 1.0 into 1.0 7.726 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.727 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.727 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.727 * [taylor]: Taking taylor expansion of -2.0 in n 7.727 * [backup-simplify]: Simplify -2.0 into -2.0 7.727 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.727 * [taylor]: Taking taylor expansion of PI in n 7.727 * [backup-simplify]: Simplify PI into PI 7.727 * [taylor]: Taking taylor expansion of n in n 7.727 * [backup-simplify]: Simplify 0 into 0 7.727 * [backup-simplify]: Simplify 1 into 1 7.727 * [backup-simplify]: Simplify (/ PI 1) into PI 7.728 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 7.728 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 7.728 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) (sqrt 1.0)) into (+ (sqrt (/ -1 k)) (sqrt 1.0)) 7.729 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.730 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) 7.731 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) 7.732 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) 7.732 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 7.733 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt (/ -1 k)))) into (- (sqrt 1.0) (sqrt (/ -1 k))) 7.733 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) into (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) 7.734 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))))) 7.735 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) into (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) 7.735 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in n 7.735 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in n 7.735 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in n 7.736 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in n 7.736 * [taylor]: Taking taylor expansion of 0.5 in n 7.736 * [backup-simplify]: Simplify 0.5 into 0.5 7.736 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in n 7.736 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 7.736 * [taylor]: Taking taylor expansion of 1.0 in n 7.736 * [backup-simplify]: Simplify 1.0 into 1.0 7.736 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.736 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 7.736 * [taylor]: Taking taylor expansion of (/ -1 k) in n 7.736 * [taylor]: Taking taylor expansion of -1 in n 7.736 * [backup-simplify]: Simplify -1 into -1 7.736 * [taylor]: Taking taylor expansion of k in n 7.736 * [backup-simplify]: Simplify k into k 7.736 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 7.736 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 7.737 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 7.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 7.737 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in n 7.737 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 7.737 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 7.737 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 7.737 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 7.737 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 7.737 * [taylor]: Taking taylor expansion of (/ -1 k) in n 7.737 * [taylor]: Taking taylor expansion of -1 in n 7.737 * [backup-simplify]: Simplify -1 into -1 7.737 * [taylor]: Taking taylor expansion of k in n 7.737 * [backup-simplify]: Simplify k into k 7.737 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 7.737 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 7.737 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 7.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 7.737 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 7.737 * [taylor]: Taking taylor expansion of 1.0 in n 7.737 * [backup-simplify]: Simplify 1.0 into 1.0 7.737 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.738 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.738 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.738 * [taylor]: Taking taylor expansion of -2.0 in n 7.738 * [backup-simplify]: Simplify -2.0 into -2.0 7.738 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.738 * [taylor]: Taking taylor expansion of PI in n 7.738 * [backup-simplify]: Simplify PI into PI 7.738 * [taylor]: Taking taylor expansion of n in n 7.738 * [backup-simplify]: Simplify 0 into 0 7.738 * [backup-simplify]: Simplify 1 into 1 7.738 * [backup-simplify]: Simplify (/ PI 1) into PI 7.739 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 7.739 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 7.740 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) (sqrt 1.0)) into (+ (sqrt (/ -1 k)) (sqrt 1.0)) 7.740 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.741 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) 7.743 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) 7.745 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) 7.745 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 7.745 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt (/ -1 k)))) into (- (sqrt 1.0) (sqrt (/ -1 k))) 7.746 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) into (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) 7.748 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))))) 7.750 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) into (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) 7.750 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) in k 7.750 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))))) in k 7.750 * [taylor]: Taking taylor expansion of 0.5 in k 7.751 * [backup-simplify]: Simplify 0.5 into 0.5 7.751 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))) in k 7.751 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 7.751 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.751 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.751 * [taylor]: Taking taylor expansion of -1 in k 7.751 * [backup-simplify]: Simplify -1 into -1 7.751 * [taylor]: Taking taylor expansion of k in k 7.751 * [backup-simplify]: Simplify 0 into 0 7.751 * [backup-simplify]: Simplify 1 into 1 7.751 * [backup-simplify]: Simplify (/ -1 1) into -1 7.752 * [backup-simplify]: Simplify (sqrt 0) into 0 7.753 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.753 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 7.753 * [taylor]: Taking taylor expansion of 1.0 in k 7.753 * [backup-simplify]: Simplify 1.0 into 1.0 7.754 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.754 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))) in k 7.755 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 7.755 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 7.755 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 7.755 * [taylor]: Taking taylor expansion of -2.0 in k 7.755 * [backup-simplify]: Simplify -2.0 into -2.0 7.755 * [taylor]: Taking taylor expansion of PI in k 7.755 * [backup-simplify]: Simplify PI into PI 7.755 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 7.756 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 7.756 * [taylor]: Taking taylor expansion of (log n) in k 7.756 * [taylor]: Taking taylor expansion of n in k 7.756 * [backup-simplify]: Simplify n into n 7.757 * [backup-simplify]: Simplify (log n) into (log n) 7.757 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in k 7.757 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 7.757 * [taylor]: Taking taylor expansion of 1.0 in k 7.757 * [backup-simplify]: Simplify 1.0 into 1.0 7.757 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 7.758 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.758 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.758 * [taylor]: Taking taylor expansion of -1 in k 7.758 * [backup-simplify]: Simplify -1 into -1 7.758 * [taylor]: Taking taylor expansion of k in k 7.758 * [backup-simplify]: Simplify 0 into 0 7.758 * [backup-simplify]: Simplify 1 into 1 7.758 * [backup-simplify]: Simplify (/ -1 1) into -1 7.759 * [backup-simplify]: Simplify (sqrt 0) into 0 7.760 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.761 * [backup-simplify]: Simplify (+ 0 0) into 0 7.761 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 7.762 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 7.762 * [backup-simplify]: Simplify (- 0) into 0 7.762 * [backup-simplify]: Simplify (+ 0 0) into 0 7.763 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 0) into 0 7.763 * [backup-simplify]: Simplify (* 0 0) into 0 7.763 * [backup-simplify]: Simplify (* 0.5 0) into 0 7.764 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.764 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- +nan.0)) into (- (sqrt 1.0) +nan.0) 7.765 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 7.766 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 7.766 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 7.767 * [backup-simplify]: Simplify (- 0) into 0 7.767 * [backup-simplify]: Simplify (+ 0 0) into 0 7.768 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) +nan.0)) (* 0 0)) into (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))) 7.769 * [backup-simplify]: Simplify (+ +nan.0 (sqrt 1.0)) into (- (sqrt 1.0) +nan.0) 7.772 * [backup-simplify]: Simplify (+ (* 0 (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (* (- (sqrt 1.0) +nan.0) 0)) into 0 7.773 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 0)) into 0 7.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.775 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.775 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.776 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.777 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.778 * [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 7.780 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 7.780 * [backup-simplify]: Simplify (- 0) into 0 7.780 * [backup-simplify]: Simplify (+ 0 0) into 0 7.781 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) (- +nan.0)) (+ (* 0 (- (sqrt 1.0) +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))) 7.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.790 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.790 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 7.796 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- (sqrt 1.0) +nan.0) (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (* (- +nan.0) 0))) into (- (* (pow (sqrt 1.0) 2) (log (* -2.0 PI))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n))))))))) 7.803 * [backup-simplify]: Simplify (+ (* 0.5 (- (* (pow (sqrt 1.0) 2) (log (* -2.0 PI))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0))) into (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n))))))))) 7.812 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) into (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) 7.819 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) into (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) 7.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.820 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 7.821 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 7.821 * [backup-simplify]: Simplify (+ 0 0) into 0 7.822 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.823 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 7.825 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 7.826 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) 1)))) 1) into 0 7.827 * [backup-simplify]: Simplify (- 0) into 0 7.827 * [backup-simplify]: Simplify (+ 0 0) into 0 7.827 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- (sqrt 1.0) (sqrt (/ -1 k))))) into 0 7.829 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) 0) (* 0 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))) into 0 7.830 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.830 * [taylor]: Taking taylor expansion of 0 in k 7.830 * [backup-simplify]: Simplify 0 into 0 7.830 * [backup-simplify]: Simplify 0 into 0 7.831 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 7.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.834 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.834 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.835 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.835 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.840 * [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 7.843 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 7.843 * [backup-simplify]: Simplify (- 0) into 0 7.844 * [backup-simplify]: Simplify (+ 0 0) into 0 7.847 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- (sqrt 1.0) +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))) 7.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.853 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.854 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 7.855 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 7.867 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- (sqrt 1.0) +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- +nan.0) (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 7.877 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (* (pow (sqrt 1.0) 2) (log (* -2.0 PI))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))))) 7.896 * [backup-simplify]: Simplify (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) (+ (* (/ (pow (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))) 7.915 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))) into (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) 7.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.918 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.921 * [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 7.922 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.922 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 7.924 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 7.924 * [backup-simplify]: Simplify (+ 0 0) into 0 7.926 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.928 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 7.930 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.934 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) 1)))) 2) into 0 7.935 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 7.935 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.935 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 7.936 * [backup-simplify]: Simplify (- 0) into 0 7.936 * [backup-simplify]: Simplify (+ 0 0) into 0 7.937 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- (sqrt 1.0) (sqrt (/ -1 k)))))) into 0 7.938 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))))) into 0 7.940 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.940 * [taylor]: Taking taylor expansion of 0 in k 7.940 * [backup-simplify]: Simplify 0 into 0 7.940 * [backup-simplify]: Simplify 0 into 0 7.940 * [backup-simplify]: Simplify 0 into 0 7.941 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 7.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.944 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.945 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.945 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.946 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.952 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -2.0 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -2.0 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -2.0 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -2.0 PI) 1)))) 24) into 0 7.955 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 7.955 * [backup-simplify]: Simplify (- 0) into 0 7.956 * [backup-simplify]: Simplify (+ 0 0) into 0 7.957 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- (sqrt 1.0) +nan.0)) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))) 7.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.963 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.965 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 7.965 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 7.982 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- (sqrt 1.0) +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- +nan.0) (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 7.996 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (* (pow (sqrt 1.0) 2) (log (* -2.0 PI))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))))) 8.023 * [backup-simplify]: Simplify (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) (+ (* (/ (pow (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (* (log n) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (- (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))))))))))))))))))))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))) 8.075 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (* (log n) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (- (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))))))))))))))))))))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))) into (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (* (log n) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (- (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))))))))))))))))))))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) 8.167 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (* (log (/ 1 (- n))) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (log (/ 1 (- n))) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 (- n))))) (- (+ (* +nan.0 (* (log (/ 1 (- n))) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log (/ 1 (- n))) 2))) (- (+ (* +nan.0 (pow (log (/ 1 (- n))) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log (/ 1 (- n))) 2))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (- (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))))))))))))))))))))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 (- n))))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 (- n))))) (- (* +nan.0 (log (/ 1 (- n))))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 (- n))))) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2.0 PI))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 (- n))))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 (- n))))) (- (* +nan.0 (log (/ 1 (- n))))))))))))) (* (/ 1 (- k)) 1)) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 (- n))))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 (- n))))) (- (* +nan.0 (log (/ 1 (- n)))))))))))))) into (- (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (pow (log (* -2.0 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (pow (log (/ -1 n)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (/ -1 n)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (* -2.0 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (* (log (/ -1 n)) (log (* -2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (* -2.0 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (* -2.0 PI)))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (/ -1 n)))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (* -2.0 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (* (log (/ -1 n)) (log (* -2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (pow (log (/ -1 n)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (pow (log (/ -1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (log (* -2.0 PI)) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n)))) (pow k 2)))))))))))))))))))))))))))))))))))) 8.167 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 8.168 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 8.168 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 8.168 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.168 * [taylor]: Taking taylor expansion of 2.0 in n 8.168 * [backup-simplify]: Simplify 2.0 into 2.0 8.168 * [taylor]: Taking taylor expansion of (* n PI) in n 8.168 * [taylor]: Taking taylor expansion of n in n 8.168 * [backup-simplify]: Simplify 0 into 0 8.168 * [backup-simplify]: Simplify 1 into 1 8.168 * [taylor]: Taking taylor expansion of PI in n 8.168 * [backup-simplify]: Simplify PI into PI 8.168 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.168 * [taylor]: Taking taylor expansion of 2.0 in n 8.168 * [backup-simplify]: Simplify 2.0 into 2.0 8.168 * [taylor]: Taking taylor expansion of (* n PI) in n 8.168 * [taylor]: Taking taylor expansion of n in n 8.168 * [backup-simplify]: Simplify 0 into 0 8.168 * [backup-simplify]: Simplify 1 into 1 8.168 * [taylor]: Taking taylor expansion of PI in n 8.168 * [backup-simplify]: Simplify PI into PI 8.168 * [backup-simplify]: Simplify (* 0 PI) into 0 8.169 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.169 * [backup-simplify]: Simplify 0 into 0 8.170 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.170 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.171 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.171 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.172 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 8.172 * [backup-simplify]: Simplify 0 into 0 8.173 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.173 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.173 * [backup-simplify]: Simplify 0 into 0 8.174 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.175 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 8.175 * [backup-simplify]: Simplify 0 into 0 8.176 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.177 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 8.177 * [backup-simplify]: Simplify 0 into 0 8.177 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.178 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 8.178 * [backup-simplify]: Simplify 0 into 0 8.180 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 8.181 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 8.181 * [backup-simplify]: Simplify 0 into 0 8.181 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 8.182 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 8.182 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 8.182 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.182 * [taylor]: Taking taylor expansion of 2.0 in n 8.182 * [backup-simplify]: Simplify 2.0 into 2.0 8.182 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.182 * [taylor]: Taking taylor expansion of PI in n 8.182 * [backup-simplify]: Simplify PI into PI 8.182 * [taylor]: Taking taylor expansion of n in n 8.182 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify 1 into 1 8.182 * [backup-simplify]: Simplify (/ PI 1) into PI 8.182 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.182 * [taylor]: Taking taylor expansion of 2.0 in n 8.182 * [backup-simplify]: Simplify 2.0 into 2.0 8.182 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.182 * [taylor]: Taking taylor expansion of PI in n 8.182 * [backup-simplify]: Simplify PI into PI 8.182 * [taylor]: Taking taylor expansion of n in n 8.182 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify 1 into 1 8.182 * [backup-simplify]: Simplify (/ PI 1) into PI 8.183 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.183 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.184 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.184 * [backup-simplify]: Simplify 0 into 0 8.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.185 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.185 * [backup-simplify]: Simplify 0 into 0 8.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.187 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.187 * [backup-simplify]: Simplify 0 into 0 8.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.188 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.188 * [backup-simplify]: Simplify 0 into 0 8.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.189 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.190 * [backup-simplify]: Simplify 0 into 0 8.190 * [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 8.191 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.191 * [backup-simplify]: Simplify 0 into 0 8.192 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 8.192 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 8.192 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 8.192 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.192 * [taylor]: Taking taylor expansion of -2.0 in n 8.192 * [backup-simplify]: Simplify -2.0 into -2.0 8.192 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.192 * [taylor]: Taking taylor expansion of PI in n 8.192 * [backup-simplify]: Simplify PI into PI 8.192 * [taylor]: Taking taylor expansion of n in n 8.192 * [backup-simplify]: Simplify 0 into 0 8.192 * [backup-simplify]: Simplify 1 into 1 8.192 * [backup-simplify]: Simplify (/ PI 1) into PI 8.192 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.192 * [taylor]: Taking taylor expansion of -2.0 in n 8.192 * [backup-simplify]: Simplify -2.0 into -2.0 8.192 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.193 * [taylor]: Taking taylor expansion of PI in n 8.193 * [backup-simplify]: Simplify PI into PI 8.193 * [taylor]: Taking taylor expansion of n in n 8.193 * [backup-simplify]: Simplify 0 into 0 8.193 * [backup-simplify]: Simplify 1 into 1 8.193 * [backup-simplify]: Simplify (/ PI 1) into PI 8.193 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.194 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.195 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 8.195 * [backup-simplify]: Simplify 0 into 0 8.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.196 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.196 * [backup-simplify]: Simplify 0 into 0 8.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.197 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.197 * [backup-simplify]: Simplify 0 into 0 8.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.199 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.199 * [backup-simplify]: Simplify 0 into 0 8.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.200 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.200 * [backup-simplify]: Simplify 0 into 0 8.201 * [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 8.202 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.202 * [backup-simplify]: Simplify 0 into 0 8.202 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 8.202 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 8.202 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 8.202 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.202 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.202 * [taylor]: Taking taylor expansion of 1.0 in k 8.202 * [backup-simplify]: Simplify 1.0 into 1.0 8.202 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.202 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.202 * [taylor]: Taking taylor expansion of k in k 8.202 * [backup-simplify]: Simplify 0 into 0 8.202 * [backup-simplify]: Simplify 1 into 1 8.203 * [backup-simplify]: Simplify (/ 1 1) into 1 8.203 * [backup-simplify]: Simplify (sqrt 0) into 0 8.204 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.204 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.204 * [taylor]: Taking taylor expansion of 1.0 in k 8.204 * [backup-simplify]: Simplify 1.0 into 1.0 8.204 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.204 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.204 * [taylor]: Taking taylor expansion of k in k 8.204 * [backup-simplify]: Simplify 0 into 0 8.204 * [backup-simplify]: Simplify 1 into 1 8.204 * [backup-simplify]: Simplify (/ 1 1) into 1 8.204 * [backup-simplify]: Simplify (sqrt 0) into 0 8.205 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.205 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.205 * [backup-simplify]: Simplify 0 into 0 8.206 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.207 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.209 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.210 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.210 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.213 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.214 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.214 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.215 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 8.215 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 8.215 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.215 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.215 * [taylor]: Taking taylor expansion of 1.0 in k 8.215 * [backup-simplify]: Simplify 1.0 into 1.0 8.215 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.215 * [taylor]: Taking taylor expansion of k in k 8.215 * [backup-simplify]: Simplify 0 into 0 8.215 * [backup-simplify]: Simplify 1 into 1 8.216 * [backup-simplify]: Simplify (sqrt 0) into 0 8.216 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.216 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.216 * [taylor]: Taking taylor expansion of 1.0 in k 8.216 * [backup-simplify]: Simplify 1.0 into 1.0 8.216 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.216 * [taylor]: Taking taylor expansion of k in k 8.216 * [backup-simplify]: Simplify 0 into 0 8.216 * [backup-simplify]: Simplify 1 into 1 8.217 * [backup-simplify]: Simplify (sqrt 0) into 0 8.217 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.218 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.218 * [backup-simplify]: Simplify 0 into 0 8.219 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.219 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.220 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.222 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.222 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.224 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.225 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.226 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.227 * [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)))))))) 8.227 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 8.227 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.227 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.227 * [taylor]: Taking taylor expansion of 1.0 in k 8.227 * [backup-simplify]: Simplify 1.0 into 1.0 8.227 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.227 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.227 * [taylor]: Taking taylor expansion of -1 in k 8.227 * [backup-simplify]: Simplify -1 into -1 8.227 * [taylor]: Taking taylor expansion of k in k 8.227 * [backup-simplify]: Simplify 0 into 0 8.227 * [backup-simplify]: Simplify 1 into 1 8.227 * [backup-simplify]: Simplify (/ -1 1) into -1 8.228 * [backup-simplify]: Simplify (sqrt 0) into 0 8.228 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.229 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.229 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.229 * [taylor]: Taking taylor expansion of 1.0 in k 8.229 * [backup-simplify]: Simplify 1.0 into 1.0 8.229 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.229 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.229 * [taylor]: Taking taylor expansion of -1 in k 8.229 * [backup-simplify]: Simplify -1 into -1 8.229 * [taylor]: Taking taylor expansion of k in k 8.229 * [backup-simplify]: Simplify 0 into 0 8.229 * [backup-simplify]: Simplify 1 into 1 8.229 * [backup-simplify]: Simplify (/ -1 1) into -1 8.229 * [backup-simplify]: Simplify (sqrt 0) into 0 8.230 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.230 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.231 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.233 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.235 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.235 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.246 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.246 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.247 * [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))))) 8.247 * * * [progress]: simplifying candidates 8.250 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (log1p (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (* (+ (+ (log 2.0) (log PI)) (log n)) (+ (sqrt 1.0) (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt k))) (* (log (* (* 2.0 PI) n)) (+ (sqrt 1.0) (sqrt k))) (* (log (* (* 2.0 PI) n)) (+ (sqrt 1.0) (sqrt k))) (* 1 (+ (sqrt 1.0) (sqrt k))) (* 1 (+ (sqrt 1.0) (sqrt k))) (* 1 (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k))))) (pow (* (* 2.0 PI) n) (sqrt (+ (sqrt 1.0) (sqrt k)))) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (sqrt 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (sqrt 1.0)) (pow (* (* 2.0 PI) n) (sqrt k)) (pow (* 2.0 PI) (+ (sqrt 1.0) (sqrt k))) (pow n (+ (sqrt 1.0) (sqrt k))) (log (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (exp (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (* (cbrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (cbrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))))) (cbrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (* (* (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 2)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 2)) (expm1 (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (log1p (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (* (* (+ (+ (log 2.0) (log PI)) (log n)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (* (log (* (* 2.0 PI) n)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (* (log (* (* 2.0 PI) n)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (log (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (log (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (+ (sqrt 1.0) (sqrt k)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt 1.0) 2.0)) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt k) 2.0)) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (* (cbrt (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (cbrt (/ (- (sqrt 1.0) (sqrt k)) 2.0)))) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (sqrt (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) 1)) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt (- (sqrt 1.0) (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt (- (sqrt 1.0) (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt (- (sqrt 1.0) (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ 1 (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ 1 1)) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt 1) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt 1) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt 1) 1)) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ 1 (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ 1 1)) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) 1) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (- (sqrt 1.0) (sqrt k))) (pow (pow (* (* 2.0 PI) n) 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n)))))))))))) (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (pow (log (/ -1 n)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (pow (log (/ -1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (log (* -2.0 PI)) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n)))) (pow k 2)))))))))))))))))))))))))))))))))))) (* 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))))) 8.260 * * [simplify]: Extracting # 0 : cost 0 8.260 * * [simplify]: Extracting # 1 : cost 0 8.260 * * [simplify]: Extracting # 2 : cost 0 8.261 * * [simplify]: Extracting # 3 : cost 0 8.261 * * [simplify]: Extracting # 4 : cost 0 8.262 * * [simplify]: Extracting # 5 : cost 0 8.262 * * [simplify]: Extracting # 6 : cost 0 8.263 * * [simplify]: Extracting # 7 : cost 0 8.264 * * [simplify]: Extracting # 8 : cost 0 8.264 * * [simplify]: Extracting # 9 : cost 0 8.265 * * [simplify]: Extracting # 10 : cost 0 8.266 * * [simplify]: Extracting # 11 : cost 0 8.266 * * [simplify]: Extracting # 12 : cost 0 8.267 * * [simplify]: Extracting # 13 : cost 0 8.268 * * [simplify]: Extracting # 14 : cost 0 8.269 * * [simplify]: Extracting # 15 : cost 0 8.270 * * [simplify]: Extracting # 16 : cost 0 8.270 * * [simplify]: Extracting # 17 : cost 0 8.271 * * [simplify]: Extracting # 18 : cost 0 8.272 * * [simplify]: Extracting # 19 : cost 0 8.273 * * [simplify]: Extracting # 20 : cost 0 8.274 * * [simplify]: Extracting # 21 : cost 0 8.275 * * [simplify]: Extracting # 22 : cost 0 8.276 * * [simplify]: Extracting # 23 : cost 0 8.277 * * [simplify]: Extracting # 24 : cost 0 8.278 * * [simplify]: Extracting # 25 : cost 0 8.279 * * [simplify]: Extracting # 26 : cost 0 8.280 * * [simplify]: Extracting # 27 : cost 0 8.281 * * [simplify]: Extracting # 28 : cost 0 8.282 * * [simplify]: Extracting # 29 : cost 0 8.283 * * [simplify]: Extracting # 30 : cost 0 8.284 * * [simplify]: Extracting # 31 : cost 0 8.285 * * [simplify]: Extracting # 32 : cost 0 8.287 * * [simplify]: Extracting # 33 : cost 0 8.289 * * [simplify]: Extracting # 34 : cost 0 8.291 * * [simplify]: Extracting # 35 : cost 0 8.293 * * [simplify]: Extracting # 36 : cost 0 8.295 * * [simplify]: Extracting # 37 : cost 0 8.305 * * [simplify]: Extracting # 38 : cost 0 8.307 * * [simplify]: Extracting # 39 : cost 0 8.309 * * [simplify]: Extracting # 40 : cost 0 8.311 * * [simplify]: Extracting # 41 : cost 0 8.313 * * [simplify]: Extracting # 42 : cost 0 8.315 * * [simplify]: Extracting # 43 : cost 0 8.317 * * [simplify]: Extracting # 44 : cost 0 8.319 * * [simplify]: Extracting # 45 : cost 0 8.320 * * [simplify]: Extracting # 46 : cost 0 8.321 * * [simplify]: Extracting # 47 : cost 0 8.322 * * [simplify]: Extracting # 48 : cost 0 8.323 * * [simplify]: Extracting # 49 : cost 0 8.324 * * [simplify]: Extracting # 50 : cost 0 8.324 * * [simplify]: Extracting # 51 : cost 0 8.325 * * [simplify]: Extracting # 52 : cost 0 8.326 * * [simplify]: Extracting # 53 : cost 0 8.327 * * [simplify]: Extracting # 54 : cost 0 8.328 * * [simplify]: Extracting # 55 : cost 0 8.329 * * [simplify]: Extracting # 56 : cost 0 8.330 * * [simplify]: Extracting # 57 : cost 0 8.331 * * [simplify]: Extracting # 58 : cost 0 8.333 * * [simplify]: iteration 0 : 626 enodes (cost 6148 ) 8.554 * * [simplify]: Extracting # 0 : cost 0 8.557 * * [simplify]: Extracting # 1 : cost 0 8.566 * * [simplify]: Extracting # 2 : cost 0 8.569 * * [simplify]: Extracting # 3 : cost 0 8.573 * * [simplify]: Extracting # 4 : cost 0 8.579 * * [simplify]: Extracting # 5 : cost 0 8.585 * * [simplify]: Extracting # 6 : cost 0 8.590 * * [simplify]: Extracting # 7 : cost 0 8.596 * * [simplify]: Extracting # 8 : cost 0 8.602 * * [simplify]: Extracting # 9 : cost 0 8.608 * * [simplify]: Extracting # 10 : cost 0 8.613 * * [simplify]: Extracting # 11 : cost 0 8.619 * * [simplify]: Extracting # 12 : cost 0 8.625 * * [simplify]: Extracting # 13 : cost 0 8.631 * * [simplify]: iteration 1 : 1971 enodes (cost 5708 ) 9.494 * * [simplify]: Extracting # 0 : cost 0 9.508 * * [simplify]: Extracting # 1 : cost 0 9.524 * * [simplify]: Extracting # 2 : cost 0 9.540 * * [simplify]: Extracting # 3 : cost 0 9.565 * * [simplify]: Extracting # 4 : cost 0 9.581 * * [simplify]: Extracting # 5 : cost 0 9.596 * * [simplify]: Extracting # 6 : cost 0 9.611 * * [simplify]: Extracting # 7 : cost 0 9.626 * * [simplify]: Extracting # 8 : cost 0 9.643 * * [simplify]: Extracting # 9 : cost 0 9.658 * * [simplify]: Extracting # 10 : cost 0 9.672 * * [simplify]: Extracting # 11 : cost 0 9.687 * * [simplify]: Extracting # 12 : cost 0 9.702 * * [simplify]: Extracting # 13 : cost 0 9.715 * * [simplify]: iteration done: 5001 enodes (cost 5325 ) 9.719 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (log1p (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (* (log (* (* 2.0 PI) n)) (+ (sqrt 1.0) (sqrt k))) (* (log (* (* 2.0 PI) n)) (+ (sqrt 1.0) (sqrt k))) (* (log (* (* 2.0 PI) n)) (+ (sqrt 1.0) (sqrt k))) (* (log (* (* 2.0 PI) n)) (+ (sqrt 1.0) (sqrt k))) (+ (sqrt 1.0) (sqrt k)) (+ (sqrt 1.0) (sqrt k)) (+ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k))))) (pow (* (* 2.0 PI) n) (sqrt (+ (sqrt 1.0) (sqrt k)))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (sqrt 1.0)) (pow (* (* 2.0 PI) n) (sqrt k)) (pow (* 2.0 PI) (+ (sqrt 1.0) (sqrt k))) (pow n (+ (sqrt 1.0) (sqrt k))) (log (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (exp (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (* (cbrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (cbrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))))) (cbrt (pow (* (* 2.0 PI) n) 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n)))))))))))))) (* (sqrt 1.0) (log (/ -1 n)))) k) +nan.0 (+ (- (* +nan.0 (/ (exp (fma (* 1.0 (log (* -2.0 PI))) 0.5 (- (fma (* (sqrt 1.0) (log (* -2.0 PI))) +nan.0 (fma 0.5 (* (log (/ -1 n)) 1.0) (- (fma +nan.0 (log (* -2.0 PI)) (- (fma +nan.0 (log (/ -1 n)) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))))) (/ (pow k 2) (* (sqrt 1.0) (log (* -2.0 PI))))))) (- (* (/ +nan.0 k) (/ (* (* (* (log (/ -1 n)) (log (* -2.0 PI))) 1.0) (exp (fma (* 1.0 (log (* -2.0 PI))) 0.5 (- (fma (* (sqrt 1.0) (log (* -2.0 PI))) +nan.0 (fma 0.5 (* (log (/ -1 n)) 1.0) (- (fma +nan.0 (log (* -2.0 PI)) (- (fma +nan.0 (log (/ -1 n)) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n))))))))))))))) k)) (fma +nan.0 (/ (* (log (/ -1 n)) (exp (fma (* 1.0 (log (* -2.0 PI))) 0.5 (- (fma (* (sqrt 1.0) (log (* -2.0 PI))) +nan.0 (fma 0.5 (* (log (/ -1 n)) 1.0) (- (fma +nan.0 (log (* -2.0 PI)) (- (fma +nan.0 (log (/ -1 n)) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n))))))))))))))) (pow k 2)) (+ (- (* +nan.0 (* (/ (* (pow (log (* -2.0 PI)) 2) 1.0) k) (/ (exp (fma (* 1.0 (log (* -2.0 PI))) 0.5 (- (fma (* (sqrt 1.0) (log (* -2.0 PI))) +nan.0 (fma 0.5 (* (log (/ -1 n)) 1.0) (- (fma +nan.0 (log (* -2.0 PI)) (- (fma +nan.0 (log (/ -1 n)) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))))) k))) (- (* (* (/ (* 1.0 (pow (log (/ -1 n)) 2)) k) (/ (exp (fma (* 1.0 (log (* -2.0 PI))) 0.5 (- (fma (* (sqrt 1.0) (log (* -2.0 PI))) +nan.0 (fma 0.5 (* (log (/ -1 n)) 1.0) (- (fma +nan.0 (log (* -2.0 PI)) (- (fma +nan.0 (log (/ -1 n)) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))))) k)) +nan.0) (fma +nan.0 (* (/ (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2)) k) (/ (exp (fma (* 1.0 (log (* -2.0 PI))) 0.5 (- (fma (* (sqrt 1.0) (log (* -2.0 PI))) +nan.0 (fma 0.5 (* (log (/ -1 n)) 1.0) (- (fma +nan.0 (log (* -2.0 PI)) (- (fma +nan.0 (log (/ -1 n)) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))))) k)) (- (fma (* (/ (exp (fma (* 1.0 (log (* -2.0 PI))) 0.5 (- (fma (* (sqrt 1.0) (log (* -2.0 PI))) +nan.0 (fma 0.5 (* (log (/ -1 n)) 1.0) (- (fma +nan.0 (log (* -2.0 PI)) (- (fma +nan.0 (log (/ -1 n)) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))))) k) (/ (pow (log (/ -1 n)) 2) k)) +nan.0 (- (* +nan.0 (* (/ (log (* -2.0 PI)) k) (/ (* (log (/ -1 n)) (exp (fma (* 1.0 (log (* -2.0 PI))) 0.5 (- (fma (* (sqrt 1.0) (log (* -2.0 PI))) +nan.0 (fma 0.5 (* (log (/ -1 n)) 1.0) (- (fma +nan.0 (log (* -2.0 PI)) (- (fma +nan.0 (log (/ -1 n)) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n))))))))))))))) k))))))))) (- (/ (* +nan.0 (* (log (/ -1 n)) (exp (fma (* 1.0 (log (* -2.0 PI))) 0.5 (- (fma (* (sqrt 1.0) (log (* -2.0 PI))) +nan.0 (fma 0.5 (* (log (/ -1 n)) 1.0) (- (fma +nan.0 (log (* -2.0 PI)) (- (fma +nan.0 (log (/ -1 n)) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))))))) k))))))))))))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (- (* +nan.0 k) (fma +nan.0 (pow k 2) (- +nan.0)))) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (- (/ +nan.0 (pow k 2)))) (+ (- (/ +nan.0 (pow k 2))) (- (/ +nan.0 k) +nan.0)) 9.721 * * * [progress]: adding candidates to table 10.808 * * [progress]: iteration 3 / 4 10.808 * * * [progress]: picking best candidate 10.868 * * * * [pick]: Picked # 10.868 * * * [progress]: localizing error 10.899 * * * [progress]: generating rewritten candidates 10.899 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 10.937 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 11.001 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 11.026 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 11.077 * * * [progress]: generating series expansions 11.077 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 11.078 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 11.078 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 11.078 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 11.078 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 11.078 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 11.078 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 11.079 * [taylor]: Taking taylor expansion of 0.25 in k 11.079 * [backup-simplify]: Simplify 0.25 into 0.25 11.079 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.079 * [taylor]: Taking taylor expansion of 1.0 in k 11.079 * [backup-simplify]: Simplify 1.0 into 1.0 11.079 * [taylor]: Taking taylor expansion of k in k 11.079 * [backup-simplify]: Simplify 0 into 0 11.079 * [backup-simplify]: Simplify 1 into 1 11.079 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 11.079 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 11.079 * [taylor]: Taking taylor expansion of 2.0 in k 11.079 * [backup-simplify]: Simplify 2.0 into 2.0 11.079 * [taylor]: Taking taylor expansion of (* n PI) in k 11.079 * [taylor]: Taking taylor expansion of n in k 11.079 * [backup-simplify]: Simplify n into n 11.079 * [taylor]: Taking taylor expansion of PI in k 11.079 * [backup-simplify]: Simplify PI into PI 11.079 * [backup-simplify]: Simplify (* n PI) into (* n PI) 11.079 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 11.079 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 11.080 * [backup-simplify]: Simplify (- 0) into 0 11.080 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.081 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 11.081 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 11.081 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 11.081 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 11.081 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 11.081 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 11.081 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 11.081 * [taylor]: Taking taylor expansion of 0.25 in n 11.081 * [backup-simplify]: Simplify 0.25 into 0.25 11.081 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.081 * [taylor]: Taking taylor expansion of 1.0 in n 11.081 * [backup-simplify]: Simplify 1.0 into 1.0 11.081 * [taylor]: Taking taylor expansion of k in n 11.081 * [backup-simplify]: Simplify k into k 11.082 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 11.082 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 11.082 * [taylor]: Taking taylor expansion of 2.0 in n 11.082 * [backup-simplify]: Simplify 2.0 into 2.0 11.082 * [taylor]: Taking taylor expansion of (* n PI) in n 11.082 * [taylor]: Taking taylor expansion of n in n 11.082 * [backup-simplify]: Simplify 0 into 0 11.082 * [backup-simplify]: Simplify 1 into 1 11.082 * [taylor]: Taking taylor expansion of PI in n 11.082 * [backup-simplify]: Simplify PI into PI 11.082 * [backup-simplify]: Simplify (* 0 PI) into 0 11.083 * [backup-simplify]: Simplify (* 2.0 0) into 0 11.084 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 11.086 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 11.087 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.087 * [backup-simplify]: Simplify (- k) into (- k) 11.087 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.087 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 11.089 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.090 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 11.092 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 11.092 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 11.092 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 11.092 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 11.092 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 11.092 * [taylor]: Taking taylor expansion of 0.25 in n 11.092 * [backup-simplify]: Simplify 0.25 into 0.25 11.092 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.092 * [taylor]: Taking taylor expansion of 1.0 in n 11.092 * [backup-simplify]: Simplify 1.0 into 1.0 11.092 * [taylor]: Taking taylor expansion of k in n 11.092 * [backup-simplify]: Simplify k into k 11.092 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 11.092 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 11.092 * [taylor]: Taking taylor expansion of 2.0 in n 11.092 * [backup-simplify]: Simplify 2.0 into 2.0 11.092 * [taylor]: Taking taylor expansion of (* n PI) in n 11.092 * [taylor]: Taking taylor expansion of n in n 11.092 * [backup-simplify]: Simplify 0 into 0 11.092 * [backup-simplify]: Simplify 1 into 1 11.092 * [taylor]: Taking taylor expansion of PI in n 11.092 * [backup-simplify]: Simplify PI into PI 11.093 * [backup-simplify]: Simplify (* 0 PI) into 0 11.093 * [backup-simplify]: Simplify (* 2.0 0) into 0 11.095 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 11.096 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 11.098 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.098 * [backup-simplify]: Simplify (- k) into (- k) 11.098 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.098 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 11.099 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.100 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 11.102 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 11.102 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 11.102 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 11.102 * [taylor]: Taking taylor expansion of 0.25 in k 11.102 * [backup-simplify]: Simplify 0.25 into 0.25 11.102 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 11.102 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.102 * [taylor]: Taking taylor expansion of 1.0 in k 11.102 * [backup-simplify]: Simplify 1.0 into 1.0 11.102 * [taylor]: Taking taylor expansion of k in k 11.102 * [backup-simplify]: Simplify 0 into 0 11.102 * [backup-simplify]: Simplify 1 into 1 11.102 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 11.102 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.102 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.102 * [taylor]: Taking taylor expansion of 2.0 in k 11.102 * [backup-simplify]: Simplify 2.0 into 2.0 11.102 * [taylor]: Taking taylor expansion of PI in k 11.102 * [backup-simplify]: Simplify PI into PI 11.102 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.103 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.103 * [taylor]: Taking taylor expansion of (log n) in k 11.103 * [taylor]: Taking taylor expansion of n in k 11.103 * [backup-simplify]: Simplify n into n 11.103 * [backup-simplify]: Simplify (log n) into (log n) 11.103 * [backup-simplify]: Simplify (- 0) into 0 11.104 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.104 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 11.105 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 11.106 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 11.106 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 11.109 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 11.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 11.110 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 11.111 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.112 * [backup-simplify]: Simplify (- 0) into 0 11.112 * [backup-simplify]: Simplify (+ 0 0) into 0 11.112 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 11.113 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.114 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 11.115 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.115 * [taylor]: Taking taylor expansion of 0 in k 11.115 * [backup-simplify]: Simplify 0 into 0 11.115 * [backup-simplify]: Simplify 0 into 0 11.115 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 11.116 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 11.117 * [backup-simplify]: Simplify (+ 0 0) into 0 11.117 * [backup-simplify]: Simplify (- 1) into -1 11.118 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.119 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 11.120 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 11.122 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 11.125 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 11.127 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 11.128 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 11.132 * [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 11.132 * [backup-simplify]: Simplify (- 0) into 0 11.133 * [backup-simplify]: Simplify (+ 0 0) into 0 11.134 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 11.135 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.137 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 11.140 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.140 * [taylor]: Taking taylor expansion of 0 in k 11.140 * [backup-simplify]: Simplify 0 into 0 11.140 * [backup-simplify]: Simplify 0 into 0 11.140 * [backup-simplify]: Simplify 0 into 0 11.141 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.144 * [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 11.146 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 11.147 * [backup-simplify]: Simplify (+ 0 0) into 0 11.147 * [backup-simplify]: Simplify (- 0) into 0 11.148 * [backup-simplify]: Simplify (+ 0 0) into 0 11.150 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 11.151 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 11.154 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 11.157 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 11.163 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 11.163 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 11.163 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 11.163 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 11.163 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 11.163 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 11.163 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 11.163 * [taylor]: Taking taylor expansion of 0.25 in k 11.163 * [backup-simplify]: Simplify 0.25 into 0.25 11.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.163 * [taylor]: Taking taylor expansion of 1.0 in k 11.163 * [backup-simplify]: Simplify 1.0 into 1.0 11.163 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.163 * [taylor]: Taking taylor expansion of k in k 11.163 * [backup-simplify]: Simplify 0 into 0 11.164 * [backup-simplify]: Simplify 1 into 1 11.164 * [backup-simplify]: Simplify (/ 1 1) into 1 11.164 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 11.164 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 11.164 * [taylor]: Taking taylor expansion of 2.0 in k 11.164 * [backup-simplify]: Simplify 2.0 into 2.0 11.164 * [taylor]: Taking taylor expansion of (/ PI n) in k 11.164 * [taylor]: Taking taylor expansion of PI in k 11.164 * [backup-simplify]: Simplify PI into PI 11.164 * [taylor]: Taking taylor expansion of n in k 11.164 * [backup-simplify]: Simplify n into n 11.164 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 11.164 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 11.164 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 11.164 * [backup-simplify]: Simplify (- 1) into -1 11.165 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.165 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 11.165 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 11.165 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 11.165 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 11.165 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 11.165 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 11.165 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 11.165 * [taylor]: Taking taylor expansion of 0.25 in n 11.165 * [backup-simplify]: Simplify 0.25 into 0.25 11.165 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.165 * [taylor]: Taking taylor expansion of 1.0 in n 11.165 * [backup-simplify]: Simplify 1.0 into 1.0 11.165 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.165 * [taylor]: Taking taylor expansion of k in n 11.165 * [backup-simplify]: Simplify k into k 11.165 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.165 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 11.165 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 11.165 * [taylor]: Taking taylor expansion of 2.0 in n 11.165 * [backup-simplify]: Simplify 2.0 into 2.0 11.165 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.165 * [taylor]: Taking taylor expansion of PI in n 11.165 * [backup-simplify]: Simplify PI into PI 11.165 * [taylor]: Taking taylor expansion of n in n 11.165 * [backup-simplify]: Simplify 0 into 0 11.166 * [backup-simplify]: Simplify 1 into 1 11.166 * [backup-simplify]: Simplify (/ PI 1) into PI 11.166 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.167 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.167 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.167 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.167 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 11.168 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.169 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 11.170 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.170 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 11.170 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 11.170 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 11.170 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 11.170 * [taylor]: Taking taylor expansion of 0.25 in n 11.170 * [backup-simplify]: Simplify 0.25 into 0.25 11.170 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.170 * [taylor]: Taking taylor expansion of 1.0 in n 11.170 * [backup-simplify]: Simplify 1.0 into 1.0 11.170 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.170 * [taylor]: Taking taylor expansion of k in n 11.170 * [backup-simplify]: Simplify k into k 11.170 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.170 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 11.170 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 11.170 * [taylor]: Taking taylor expansion of 2.0 in n 11.170 * [backup-simplify]: Simplify 2.0 into 2.0 11.170 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.170 * [taylor]: Taking taylor expansion of PI in n 11.170 * [backup-simplify]: Simplify PI into PI 11.170 * [taylor]: Taking taylor expansion of n in n 11.170 * [backup-simplify]: Simplify 0 into 0 11.170 * [backup-simplify]: Simplify 1 into 1 11.171 * [backup-simplify]: Simplify (/ PI 1) into PI 11.171 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.171 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.172 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.172 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.172 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 11.173 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.173 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 11.174 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.174 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 11.174 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 11.174 * [taylor]: Taking taylor expansion of 0.25 in k 11.174 * [backup-simplify]: Simplify 0.25 into 0.25 11.174 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 11.174 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 11.174 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.174 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.174 * [taylor]: Taking taylor expansion of 2.0 in k 11.174 * [backup-simplify]: Simplify 2.0 into 2.0 11.174 * [taylor]: Taking taylor expansion of PI in k 11.174 * [backup-simplify]: Simplify PI into PI 11.175 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.175 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.175 * [taylor]: Taking taylor expansion of (log n) in k 11.175 * [taylor]: Taking taylor expansion of n in k 11.175 * [backup-simplify]: Simplify n into n 11.175 * [backup-simplify]: Simplify (log n) into (log n) 11.175 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.175 * [taylor]: Taking taylor expansion of 1.0 in k 11.175 * [backup-simplify]: Simplify 1.0 into 1.0 11.175 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.175 * [taylor]: Taking taylor expansion of k in k 11.175 * [backup-simplify]: Simplify 0 into 0 11.175 * [backup-simplify]: Simplify 1 into 1 11.176 * [backup-simplify]: Simplify (/ 1 1) into 1 11.176 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.184 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 11.185 * [backup-simplify]: Simplify (- 1) into -1 11.185 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.186 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 11.188 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 11.189 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.190 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.192 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 11.194 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.195 * [backup-simplify]: Simplify (- 0) into 0 11.195 * [backup-simplify]: Simplify (+ 0 0) into 0 11.196 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 11.197 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.198 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 11.201 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.201 * [taylor]: Taking taylor expansion of 0 in k 11.201 * [backup-simplify]: Simplify 0 into 0 11.201 * [backup-simplify]: Simplify 0 into 0 11.201 * [backup-simplify]: Simplify 0 into 0 11.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.203 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.207 * [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 11.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.208 * [backup-simplify]: Simplify (- 0) into 0 11.208 * [backup-simplify]: Simplify (+ 0 0) into 0 11.209 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 11.211 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.212 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 11.215 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.215 * [taylor]: Taking taylor expansion of 0 in k 11.215 * [backup-simplify]: Simplify 0 into 0 11.215 * [backup-simplify]: Simplify 0 into 0 11.215 * [backup-simplify]: Simplify 0 into 0 11.215 * [backup-simplify]: Simplify 0 into 0 11.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.218 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.224 * [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 11.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.225 * [backup-simplify]: Simplify (- 0) into 0 11.225 * [backup-simplify]: Simplify (+ 0 0) into 0 11.226 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 11.228 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.230 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 11.233 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (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 11.233 * [taylor]: Taking taylor expansion of 0 in k 11.233 * [backup-simplify]: Simplify 0 into 0 11.233 * [backup-simplify]: Simplify 0 into 0 11.234 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 11.235 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 11.235 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 11.235 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 11.235 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 11.235 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 11.235 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 11.235 * [taylor]: Taking taylor expansion of 0.25 in k 11.235 * [backup-simplify]: Simplify 0.25 into 0.25 11.235 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.235 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.235 * [taylor]: Taking taylor expansion of k in k 11.235 * [backup-simplify]: Simplify 0 into 0 11.235 * [backup-simplify]: Simplify 1 into 1 11.235 * [backup-simplify]: Simplify (/ 1 1) into 1 11.235 * [taylor]: Taking taylor expansion of 1.0 in k 11.235 * [backup-simplify]: Simplify 1.0 into 1.0 11.235 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 11.235 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 11.235 * [taylor]: Taking taylor expansion of -2.0 in k 11.235 * [backup-simplify]: Simplify -2.0 into -2.0 11.235 * [taylor]: Taking taylor expansion of (/ PI n) in k 11.235 * [taylor]: Taking taylor expansion of PI in k 11.235 * [backup-simplify]: Simplify PI into PI 11.236 * [taylor]: Taking taylor expansion of n in k 11.236 * [backup-simplify]: Simplify n into n 11.236 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 11.236 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 11.236 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 11.236 * [backup-simplify]: Simplify (+ 1 0) into 1 11.236 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 11.236 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 11.236 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 11.236 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 11.237 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 11.237 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 11.237 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 11.237 * [taylor]: Taking taylor expansion of 0.25 in n 11.237 * [backup-simplify]: Simplify 0.25 into 0.25 11.237 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.237 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.237 * [taylor]: Taking taylor expansion of k in n 11.237 * [backup-simplify]: Simplify k into k 11.237 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.237 * [taylor]: Taking taylor expansion of 1.0 in n 11.237 * [backup-simplify]: Simplify 1.0 into 1.0 11.237 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 11.237 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 11.237 * [taylor]: Taking taylor expansion of -2.0 in n 11.237 * [backup-simplify]: Simplify -2.0 into -2.0 11.237 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.237 * [taylor]: Taking taylor expansion of PI in n 11.237 * [backup-simplify]: Simplify PI into PI 11.237 * [taylor]: Taking taylor expansion of n in n 11.237 * [backup-simplify]: Simplify 0 into 0 11.237 * [backup-simplify]: Simplify 1 into 1 11.237 * [backup-simplify]: Simplify (/ PI 1) into PI 11.237 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.238 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 11.238 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.238 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 11.239 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.240 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 11.241 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 11.241 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 11.241 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 11.241 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 11.241 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 11.241 * [taylor]: Taking taylor expansion of 0.25 in n 11.241 * [backup-simplify]: Simplify 0.25 into 0.25 11.241 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.241 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.241 * [taylor]: Taking taylor expansion of k in n 11.241 * [backup-simplify]: Simplify k into k 11.241 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.241 * [taylor]: Taking taylor expansion of 1.0 in n 11.241 * [backup-simplify]: Simplify 1.0 into 1.0 11.241 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 11.241 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 11.241 * [taylor]: Taking taylor expansion of -2.0 in n 11.241 * [backup-simplify]: Simplify -2.0 into -2.0 11.241 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.241 * [taylor]: Taking taylor expansion of PI in n 11.241 * [backup-simplify]: Simplify PI into PI 11.241 * [taylor]: Taking taylor expansion of n in n 11.241 * [backup-simplify]: Simplify 0 into 0 11.241 * [backup-simplify]: Simplify 1 into 1 11.241 * [backup-simplify]: Simplify (/ PI 1) into PI 11.242 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.242 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 11.242 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.242 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 11.243 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.244 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 11.245 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 11.245 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 11.245 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 11.245 * [taylor]: Taking taylor expansion of 0.25 in k 11.245 * [backup-simplify]: Simplify 0.25 into 0.25 11.245 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 11.245 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.245 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.245 * [taylor]: Taking taylor expansion of k in k 11.245 * [backup-simplify]: Simplify 0 into 0 11.245 * [backup-simplify]: Simplify 1 into 1 11.245 * [backup-simplify]: Simplify (/ 1 1) into 1 11.245 * [taylor]: Taking taylor expansion of 1.0 in k 11.245 * [backup-simplify]: Simplify 1.0 into 1.0 11.245 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 11.245 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 11.245 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 11.245 * [taylor]: Taking taylor expansion of -2.0 in k 11.245 * [backup-simplify]: Simplify -2.0 into -2.0 11.245 * [taylor]: Taking taylor expansion of PI in k 11.245 * [backup-simplify]: Simplify PI into PI 11.246 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.246 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 11.246 * [taylor]: Taking taylor expansion of (log n) in k 11.246 * [taylor]: Taking taylor expansion of n in k 11.246 * [backup-simplify]: Simplify n into n 11.246 * [backup-simplify]: Simplify (log n) into (log n) 11.247 * [backup-simplify]: Simplify (+ 1 0) into 1 11.247 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.247 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 11.248 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 11.249 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 11.250 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 11.250 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 11.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.251 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 11.252 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 11.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.253 * [backup-simplify]: Simplify (+ 0 0) into 0 11.253 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 11.254 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.255 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 11.256 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.256 * [taylor]: Taking taylor expansion of 0 in k 11.256 * [backup-simplify]: Simplify 0 into 0 11.256 * [backup-simplify]: Simplify 0 into 0 11.256 * [backup-simplify]: Simplify 0 into 0 11.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.257 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.259 * [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 11.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.260 * [backup-simplify]: Simplify (+ 0 0) into 0 11.260 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 11.261 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.262 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 11.265 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.265 * [taylor]: Taking taylor expansion of 0 in k 11.265 * [backup-simplify]: Simplify 0 into 0 11.265 * [backup-simplify]: Simplify 0 into 0 11.265 * [backup-simplify]: Simplify 0 into 0 11.265 * [backup-simplify]: Simplify 0 into 0 11.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.268 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.273 * [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 11.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.274 * [backup-simplify]: Simplify (+ 0 0) into 0 11.275 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 11.277 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.279 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 11.281 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 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 11.281 * [taylor]: Taking taylor expansion of 0 in k 11.281 * [backup-simplify]: Simplify 0 into 0 11.282 * [backup-simplify]: Simplify 0 into 0 11.283 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 11.283 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 11.284 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 11.284 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 11.284 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 11.284 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 11.284 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 11.284 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 11.284 * [taylor]: Taking taylor expansion of 0.25 in k 11.284 * [backup-simplify]: Simplify 0.25 into 0.25 11.284 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.284 * [taylor]: Taking taylor expansion of 1.0 in k 11.284 * [backup-simplify]: Simplify 1.0 into 1.0 11.284 * [taylor]: Taking taylor expansion of k in k 11.284 * [backup-simplify]: Simplify 0 into 0 11.284 * [backup-simplify]: Simplify 1 into 1 11.284 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 11.284 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 11.284 * [taylor]: Taking taylor expansion of 2.0 in k 11.284 * [backup-simplify]: Simplify 2.0 into 2.0 11.284 * [taylor]: Taking taylor expansion of (* n PI) in k 11.284 * [taylor]: Taking taylor expansion of n in k 11.284 * [backup-simplify]: Simplify n into n 11.284 * [taylor]: Taking taylor expansion of PI in k 11.284 * [backup-simplify]: Simplify PI into PI 11.284 * [backup-simplify]: Simplify (* n PI) into (* n PI) 11.284 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 11.285 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 11.285 * [backup-simplify]: Simplify (- 0) into 0 11.285 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.286 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 11.286 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 11.286 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 11.286 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 11.286 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 11.286 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 11.286 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 11.286 * [taylor]: Taking taylor expansion of 0.25 in n 11.286 * [backup-simplify]: Simplify 0.25 into 0.25 11.286 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.286 * [taylor]: Taking taylor expansion of 1.0 in n 11.286 * [backup-simplify]: Simplify 1.0 into 1.0 11.286 * [taylor]: Taking taylor expansion of k in n 11.286 * [backup-simplify]: Simplify k into k 11.286 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 11.286 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 11.286 * [taylor]: Taking taylor expansion of 2.0 in n 11.286 * [backup-simplify]: Simplify 2.0 into 2.0 11.287 * [taylor]: Taking taylor expansion of (* n PI) in n 11.287 * [taylor]: Taking taylor expansion of n in n 11.287 * [backup-simplify]: Simplify 0 into 0 11.287 * [backup-simplify]: Simplify 1 into 1 11.287 * [taylor]: Taking taylor expansion of PI in n 11.287 * [backup-simplify]: Simplify PI into PI 11.287 * [backup-simplify]: Simplify (* 0 PI) into 0 11.287 * [backup-simplify]: Simplify (* 2.0 0) into 0 11.289 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 11.291 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 11.292 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.292 * [backup-simplify]: Simplify (- k) into (- k) 11.292 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.292 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 11.293 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.294 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 11.295 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 11.295 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 11.295 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 11.296 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 11.296 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 11.296 * [taylor]: Taking taylor expansion of 0.25 in n 11.296 * [backup-simplify]: Simplify 0.25 into 0.25 11.296 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.296 * [taylor]: Taking taylor expansion of 1.0 in n 11.296 * [backup-simplify]: Simplify 1.0 into 1.0 11.296 * [taylor]: Taking taylor expansion of k in n 11.296 * [backup-simplify]: Simplify k into k 11.296 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 11.296 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 11.296 * [taylor]: Taking taylor expansion of 2.0 in n 11.296 * [backup-simplify]: Simplify 2.0 into 2.0 11.296 * [taylor]: Taking taylor expansion of (* n PI) in n 11.296 * [taylor]: Taking taylor expansion of n in n 11.296 * [backup-simplify]: Simplify 0 into 0 11.296 * [backup-simplify]: Simplify 1 into 1 11.296 * [taylor]: Taking taylor expansion of PI in n 11.296 * [backup-simplify]: Simplify PI into PI 11.296 * [backup-simplify]: Simplify (* 0 PI) into 0 11.297 * [backup-simplify]: Simplify (* 2.0 0) into 0 11.298 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 11.300 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 11.301 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.301 * [backup-simplify]: Simplify (- k) into (- k) 11.301 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.301 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 11.302 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.303 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 11.304 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 11.304 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 11.304 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 11.304 * [taylor]: Taking taylor expansion of 0.25 in k 11.304 * [backup-simplify]: Simplify 0.25 into 0.25 11.305 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 11.305 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.305 * [taylor]: Taking taylor expansion of 1.0 in k 11.305 * [backup-simplify]: Simplify 1.0 into 1.0 11.305 * [taylor]: Taking taylor expansion of k in k 11.305 * [backup-simplify]: Simplify 0 into 0 11.305 * [backup-simplify]: Simplify 1 into 1 11.305 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 11.305 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.305 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.305 * [taylor]: Taking taylor expansion of 2.0 in k 11.305 * [backup-simplify]: Simplify 2.0 into 2.0 11.305 * [taylor]: Taking taylor expansion of PI in k 11.305 * [backup-simplify]: Simplify PI into PI 11.305 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.306 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.306 * [taylor]: Taking taylor expansion of (log n) in k 11.306 * [taylor]: Taking taylor expansion of n in k 11.306 * [backup-simplify]: Simplify n into n 11.306 * [backup-simplify]: Simplify (log n) into (log n) 11.306 * [backup-simplify]: Simplify (- 0) into 0 11.307 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.307 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 11.308 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 11.309 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 11.309 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 11.310 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 11.311 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 11.317 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 11.319 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.319 * [backup-simplify]: Simplify (- 0) into 0 11.319 * [backup-simplify]: Simplify (+ 0 0) into 0 11.320 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 11.321 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.321 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 11.322 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.322 * [taylor]: Taking taylor expansion of 0 in k 11.323 * [backup-simplify]: Simplify 0 into 0 11.323 * [backup-simplify]: Simplify 0 into 0 11.323 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 11.324 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.325 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 11.325 * [backup-simplify]: Simplify (+ 0 0) into 0 11.325 * [backup-simplify]: Simplify (- 1) into -1 11.325 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.326 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 11.328 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 11.330 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 11.331 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 11.332 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 11.333 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 11.335 * [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 11.335 * [backup-simplify]: Simplify (- 0) into 0 11.335 * [backup-simplify]: Simplify (+ 0 0) into 0 11.336 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 11.337 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 11.338 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 11.340 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.340 * [taylor]: Taking taylor expansion of 0 in k 11.340 * [backup-simplify]: Simplify 0 into 0 11.340 * [backup-simplify]: Simplify 0 into 0 11.340 * [backup-simplify]: Simplify 0 into 0 11.341 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.343 * [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 11.344 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 11.344 * [backup-simplify]: Simplify (+ 0 0) into 0 11.345 * [backup-simplify]: Simplify (- 0) into 0 11.345 * [backup-simplify]: Simplify (+ 0 0) into 0 11.346 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 11.348 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 11.350 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 11.354 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 11.360 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 11.360 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 11.360 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 11.360 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 11.360 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 11.361 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 11.361 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 11.361 * [taylor]: Taking taylor expansion of 0.25 in k 11.361 * [backup-simplify]: Simplify 0.25 into 0.25 11.361 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.361 * [taylor]: Taking taylor expansion of 1.0 in k 11.361 * [backup-simplify]: Simplify 1.0 into 1.0 11.361 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.361 * [taylor]: Taking taylor expansion of k in k 11.361 * [backup-simplify]: Simplify 0 into 0 11.361 * [backup-simplify]: Simplify 1 into 1 11.361 * [backup-simplify]: Simplify (/ 1 1) into 1 11.361 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 11.361 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 11.361 * [taylor]: Taking taylor expansion of 2.0 in k 11.361 * [backup-simplify]: Simplify 2.0 into 2.0 11.361 * [taylor]: Taking taylor expansion of (/ PI n) in k 11.361 * [taylor]: Taking taylor expansion of PI in k 11.361 * [backup-simplify]: Simplify PI into PI 11.361 * [taylor]: Taking taylor expansion of n in k 11.361 * [backup-simplify]: Simplify n into n 11.361 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 11.361 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 11.361 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 11.362 * [backup-simplify]: Simplify (- 1) into -1 11.362 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.362 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 11.362 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 11.362 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 11.362 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 11.362 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 11.362 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 11.362 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 11.362 * [taylor]: Taking taylor expansion of 0.25 in n 11.362 * [backup-simplify]: Simplify 0.25 into 0.25 11.362 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.362 * [taylor]: Taking taylor expansion of 1.0 in n 11.362 * [backup-simplify]: Simplify 1.0 into 1.0 11.362 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.363 * [taylor]: Taking taylor expansion of k in n 11.363 * [backup-simplify]: Simplify k into k 11.363 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.363 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 11.363 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 11.363 * [taylor]: Taking taylor expansion of 2.0 in n 11.363 * [backup-simplify]: Simplify 2.0 into 2.0 11.363 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.363 * [taylor]: Taking taylor expansion of PI in n 11.363 * [backup-simplify]: Simplify PI into PI 11.363 * [taylor]: Taking taylor expansion of n in n 11.363 * [backup-simplify]: Simplify 0 into 0 11.363 * [backup-simplify]: Simplify 1 into 1 11.363 * [backup-simplify]: Simplify (/ PI 1) into PI 11.363 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.364 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.364 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.364 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.364 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 11.365 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.366 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 11.366 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.367 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 11.367 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 11.367 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 11.367 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 11.367 * [taylor]: Taking taylor expansion of 0.25 in n 11.367 * [backup-simplify]: Simplify 0.25 into 0.25 11.367 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.367 * [taylor]: Taking taylor expansion of 1.0 in n 11.367 * [backup-simplify]: Simplify 1.0 into 1.0 11.367 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.367 * [taylor]: Taking taylor expansion of k in n 11.367 * [backup-simplify]: Simplify k into k 11.367 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.367 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 11.367 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 11.367 * [taylor]: Taking taylor expansion of 2.0 in n 11.367 * [backup-simplify]: Simplify 2.0 into 2.0 11.367 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.367 * [taylor]: Taking taylor expansion of PI in n 11.367 * [backup-simplify]: Simplify PI into PI 11.367 * [taylor]: Taking taylor expansion of n in n 11.367 * [backup-simplify]: Simplify 0 into 0 11.367 * [backup-simplify]: Simplify 1 into 1 11.367 * [backup-simplify]: Simplify (/ PI 1) into PI 11.368 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.368 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.368 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.368 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.368 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 11.369 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.370 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 11.371 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.371 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 11.371 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 11.371 * [taylor]: Taking taylor expansion of 0.25 in k 11.371 * [backup-simplify]: Simplify 0.25 into 0.25 11.371 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 11.371 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 11.371 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.371 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.371 * [taylor]: Taking taylor expansion of 2.0 in k 11.371 * [backup-simplify]: Simplify 2.0 into 2.0 11.371 * [taylor]: Taking taylor expansion of PI in k 11.371 * [backup-simplify]: Simplify PI into PI 11.371 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.372 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.372 * [taylor]: Taking taylor expansion of (log n) in k 11.372 * [taylor]: Taking taylor expansion of n in k 11.372 * [backup-simplify]: Simplify n into n 11.372 * [backup-simplify]: Simplify (log n) into (log n) 11.372 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.372 * [taylor]: Taking taylor expansion of 1.0 in k 11.372 * [backup-simplify]: Simplify 1.0 into 1.0 11.372 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.372 * [taylor]: Taking taylor expansion of k in k 11.372 * [backup-simplify]: Simplify 0 into 0 11.372 * [backup-simplify]: Simplify 1 into 1 11.372 * [backup-simplify]: Simplify (/ 1 1) into 1 11.372 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.373 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 11.373 * [backup-simplify]: Simplify (- 1) into -1 11.374 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.374 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 11.375 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 11.376 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.376 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 11.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.377 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 11.378 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.379 * [backup-simplify]: Simplify (- 0) into 0 11.379 * [backup-simplify]: Simplify (+ 0 0) into 0 11.379 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 11.380 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.381 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 11.382 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.382 * [taylor]: Taking taylor expansion of 0 in k 11.382 * [backup-simplify]: Simplify 0 into 0 11.382 * [backup-simplify]: Simplify 0 into 0 11.382 * [backup-simplify]: Simplify 0 into 0 11.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.384 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.386 * [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 11.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.386 * [backup-simplify]: Simplify (- 0) into 0 11.387 * [backup-simplify]: Simplify (+ 0 0) into 0 11.387 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 11.388 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.389 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 11.391 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.391 * [taylor]: Taking taylor expansion of 0 in k 11.391 * [backup-simplify]: Simplify 0 into 0 11.391 * [backup-simplify]: Simplify 0 into 0 11.391 * [backup-simplify]: Simplify 0 into 0 11.391 * [backup-simplify]: Simplify 0 into 0 11.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.392 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.395 * [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 11.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.396 * [backup-simplify]: Simplify (- 0) into 0 11.396 * [backup-simplify]: Simplify (+ 0 0) into 0 11.397 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 11.398 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 11.399 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 11.400 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (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 11.400 * [taylor]: Taking taylor expansion of 0 in k 11.400 * [backup-simplify]: Simplify 0 into 0 11.400 * [backup-simplify]: Simplify 0 into 0 11.401 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 11.402 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 11.402 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 11.402 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 11.402 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 11.402 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 11.402 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 11.402 * [taylor]: Taking taylor expansion of 0.25 in k 11.402 * [backup-simplify]: Simplify 0.25 into 0.25 11.402 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.402 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.402 * [taylor]: Taking taylor expansion of k in k 11.402 * [backup-simplify]: Simplify 0 into 0 11.402 * [backup-simplify]: Simplify 1 into 1 11.402 * [backup-simplify]: Simplify (/ 1 1) into 1 11.402 * [taylor]: Taking taylor expansion of 1.0 in k 11.402 * [backup-simplify]: Simplify 1.0 into 1.0 11.402 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 11.402 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 11.402 * [taylor]: Taking taylor expansion of -2.0 in k 11.402 * [backup-simplify]: Simplify -2.0 into -2.0 11.402 * [taylor]: Taking taylor expansion of (/ PI n) in k 11.402 * [taylor]: Taking taylor expansion of PI in k 11.402 * [backup-simplify]: Simplify PI into PI 11.402 * [taylor]: Taking taylor expansion of n in k 11.402 * [backup-simplify]: Simplify n into n 11.402 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 11.403 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 11.403 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 11.403 * [backup-simplify]: Simplify (+ 1 0) into 1 11.403 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 11.403 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 11.403 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 11.403 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 11.403 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 11.403 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 11.403 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 11.403 * [taylor]: Taking taylor expansion of 0.25 in n 11.404 * [backup-simplify]: Simplify 0.25 into 0.25 11.404 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.404 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.404 * [taylor]: Taking taylor expansion of k in n 11.404 * [backup-simplify]: Simplify k into k 11.404 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.404 * [taylor]: Taking taylor expansion of 1.0 in n 11.404 * [backup-simplify]: Simplify 1.0 into 1.0 11.404 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 11.404 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 11.404 * [taylor]: Taking taylor expansion of -2.0 in n 11.404 * [backup-simplify]: Simplify -2.0 into -2.0 11.404 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.404 * [taylor]: Taking taylor expansion of PI in n 11.404 * [backup-simplify]: Simplify PI into PI 11.404 * [taylor]: Taking taylor expansion of n in n 11.404 * [backup-simplify]: Simplify 0 into 0 11.404 * [backup-simplify]: Simplify 1 into 1 11.404 * [backup-simplify]: Simplify (/ PI 1) into PI 11.404 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.405 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 11.405 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.405 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 11.406 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.413 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 11.415 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 11.415 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 11.415 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 11.415 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 11.415 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 11.415 * [taylor]: Taking taylor expansion of 0.25 in n 11.415 * [backup-simplify]: Simplify 0.25 into 0.25 11.415 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.415 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.415 * [taylor]: Taking taylor expansion of k in n 11.415 * [backup-simplify]: Simplify k into k 11.415 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.415 * [taylor]: Taking taylor expansion of 1.0 in n 11.415 * [backup-simplify]: Simplify 1.0 into 1.0 11.415 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 11.415 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 11.415 * [taylor]: Taking taylor expansion of -2.0 in n 11.415 * [backup-simplify]: Simplify -2.0 into -2.0 11.415 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.415 * [taylor]: Taking taylor expansion of PI in n 11.415 * [backup-simplify]: Simplify PI into PI 11.415 * [taylor]: Taking taylor expansion of n in n 11.415 * [backup-simplify]: Simplify 0 into 0 11.415 * [backup-simplify]: Simplify 1 into 1 11.415 * [backup-simplify]: Simplify (/ PI 1) into PI 11.416 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.416 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 11.416 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.417 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 11.417 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.418 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 11.419 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 11.419 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 11.419 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 11.419 * [taylor]: Taking taylor expansion of 0.25 in k 11.419 * [backup-simplify]: Simplify 0.25 into 0.25 11.419 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 11.419 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.419 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.419 * [taylor]: Taking taylor expansion of k in k 11.419 * [backup-simplify]: Simplify 0 into 0 11.419 * [backup-simplify]: Simplify 1 into 1 11.420 * [backup-simplify]: Simplify (/ 1 1) into 1 11.420 * [taylor]: Taking taylor expansion of 1.0 in k 11.420 * [backup-simplify]: Simplify 1.0 into 1.0 11.420 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 11.420 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 11.420 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 11.420 * [taylor]: Taking taylor expansion of -2.0 in k 11.420 * [backup-simplify]: Simplify -2.0 into -2.0 11.420 * [taylor]: Taking taylor expansion of PI in k 11.420 * [backup-simplify]: Simplify PI into PI 11.420 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.421 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 11.421 * [taylor]: Taking taylor expansion of (log n) in k 11.421 * [taylor]: Taking taylor expansion of n in k 11.421 * [backup-simplify]: Simplify n into n 11.421 * [backup-simplify]: Simplify (log n) into (log n) 11.421 * [backup-simplify]: Simplify (+ 1 0) into 1 11.421 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.422 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 11.423 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 11.424 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 11.425 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 11.427 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 11.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.429 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 11.431 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 11.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.431 * [backup-simplify]: Simplify (+ 0 0) into 0 11.432 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 11.434 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.435 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 11.438 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.439 * [taylor]: Taking taylor expansion of 0 in k 11.439 * [backup-simplify]: Simplify 0 into 0 11.439 * [backup-simplify]: Simplify 0 into 0 11.439 * [backup-simplify]: Simplify 0 into 0 11.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.441 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.445 * [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 11.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.446 * [backup-simplify]: Simplify (+ 0 0) into 0 11.447 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 11.448 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.450 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 11.453 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.453 * [taylor]: Taking taylor expansion of 0 in k 11.453 * [backup-simplify]: Simplify 0 into 0 11.453 * [backup-simplify]: Simplify 0 into 0 11.453 * [backup-simplify]: Simplify 0 into 0 11.453 * [backup-simplify]: Simplify 0 into 0 11.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.456 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.462 * [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 11.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.463 * [backup-simplify]: Simplify (+ 0 0) into 0 11.464 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 11.466 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 11.468 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 11.471 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 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 11.471 * [taylor]: Taking taylor expansion of 0 in k 11.471 * [backup-simplify]: Simplify 0 into 0 11.471 * [backup-simplify]: Simplify 0 into 0 11.473 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 11.473 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 11.474 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 11.474 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 11.474 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 11.474 * [taylor]: Taking taylor expansion of 2.0 in n 11.474 * [backup-simplify]: Simplify 2.0 into 2.0 11.474 * [taylor]: Taking taylor expansion of (* n PI) in n 11.474 * [taylor]: Taking taylor expansion of n in n 11.474 * [backup-simplify]: Simplify 0 into 0 11.474 * [backup-simplify]: Simplify 1 into 1 11.474 * [taylor]: Taking taylor expansion of PI in n 11.474 * [backup-simplify]: Simplify PI into PI 11.474 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 11.474 * [taylor]: Taking taylor expansion of 2.0 in n 11.474 * [backup-simplify]: Simplify 2.0 into 2.0 11.474 * [taylor]: Taking taylor expansion of (* n PI) in n 11.474 * [taylor]: Taking taylor expansion of n in n 11.474 * [backup-simplify]: Simplify 0 into 0 11.474 * [backup-simplify]: Simplify 1 into 1 11.474 * [taylor]: Taking taylor expansion of PI in n 11.474 * [backup-simplify]: Simplify PI into PI 11.475 * [backup-simplify]: Simplify (* 0 PI) into 0 11.475 * [backup-simplify]: Simplify (* 2.0 0) into 0 11.475 * [backup-simplify]: Simplify 0 into 0 11.477 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 11.478 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 11.479 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.480 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 11.481 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 11.481 * [backup-simplify]: Simplify 0 into 0 11.482 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 11.484 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 11.484 * [backup-simplify]: Simplify 0 into 0 11.485 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.487 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 11.487 * [backup-simplify]: Simplify 0 into 0 11.488 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 11.490 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 11.490 * [backup-simplify]: Simplify 0 into 0 11.492 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 11.493 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 11.494 * [backup-simplify]: Simplify 0 into 0 11.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 11.498 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 11.498 * [backup-simplify]: Simplify 0 into 0 11.498 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 11.499 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 11.499 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 11.499 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 11.499 * [taylor]: Taking taylor expansion of 2.0 in n 11.499 * [backup-simplify]: Simplify 2.0 into 2.0 11.499 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.499 * [taylor]: Taking taylor expansion of PI in n 11.499 * [backup-simplify]: Simplify PI into PI 11.499 * [taylor]: Taking taylor expansion of n in n 11.499 * [backup-simplify]: Simplify 0 into 0 11.499 * [backup-simplify]: Simplify 1 into 1 11.500 * [backup-simplify]: Simplify (/ PI 1) into PI 11.500 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 11.500 * [taylor]: Taking taylor expansion of 2.0 in n 11.500 * [backup-simplify]: Simplify 2.0 into 2.0 11.500 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.500 * [taylor]: Taking taylor expansion of PI in n 11.500 * [backup-simplify]: Simplify PI into PI 11.500 * [taylor]: Taking taylor expansion of n in n 11.500 * [backup-simplify]: Simplify 0 into 0 11.500 * [backup-simplify]: Simplify 1 into 1 11.501 * [backup-simplify]: Simplify (/ PI 1) into PI 11.501 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.502 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.504 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 11.504 * [backup-simplify]: Simplify 0 into 0 11.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.506 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.506 * [backup-simplify]: Simplify 0 into 0 11.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.508 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.508 * [backup-simplify]: Simplify 0 into 0 11.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.511 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.511 * [backup-simplify]: Simplify 0 into 0 11.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.514 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 11.514 * [backup-simplify]: Simplify 0 into 0 11.515 * [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 11.517 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 11.517 * [backup-simplify]: Simplify 0 into 0 11.518 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 11.518 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 11.518 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 11.518 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 11.518 * [taylor]: Taking taylor expansion of -2.0 in n 11.518 * [backup-simplify]: Simplify -2.0 into -2.0 11.518 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.518 * [taylor]: Taking taylor expansion of PI in n 11.518 * [backup-simplify]: Simplify PI into PI 11.518 * [taylor]: Taking taylor expansion of n in n 11.519 * [backup-simplify]: Simplify 0 into 0 11.519 * [backup-simplify]: Simplify 1 into 1 11.519 * [backup-simplify]: Simplify (/ PI 1) into PI 11.519 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 11.519 * [taylor]: Taking taylor expansion of -2.0 in n 11.519 * [backup-simplify]: Simplify -2.0 into -2.0 11.519 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.519 * [taylor]: Taking taylor expansion of PI in n 11.519 * [backup-simplify]: Simplify PI into PI 11.519 * [taylor]: Taking taylor expansion of n in n 11.519 * [backup-simplify]: Simplify 0 into 0 11.519 * [backup-simplify]: Simplify 1 into 1 11.520 * [backup-simplify]: Simplify (/ PI 1) into PI 11.521 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.521 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.523 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 11.523 * [backup-simplify]: Simplify 0 into 0 11.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.526 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.526 * [backup-simplify]: Simplify 0 into 0 11.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.528 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.528 * [backup-simplify]: Simplify 0 into 0 11.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.531 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.531 * [backup-simplify]: Simplify 0 into 0 11.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.533 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 11.534 * [backup-simplify]: Simplify 0 into 0 11.535 * [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 11.536 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 11.536 * [backup-simplify]: Simplify 0 into 0 11.537 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 11.537 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 11.537 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 11.537 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 11.537 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 11.538 * [taylor]: Taking taylor expansion of 2.0 in n 11.538 * [backup-simplify]: Simplify 2.0 into 2.0 11.538 * [taylor]: Taking taylor expansion of (* n PI) in n 11.538 * [taylor]: Taking taylor expansion of n in n 11.538 * [backup-simplify]: Simplify 0 into 0 11.538 * [backup-simplify]: Simplify 1 into 1 11.538 * [taylor]: Taking taylor expansion of PI in n 11.538 * [backup-simplify]: Simplify PI into PI 11.538 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 11.538 * [taylor]: Taking taylor expansion of 2.0 in n 11.538 * [backup-simplify]: Simplify 2.0 into 2.0 11.538 * [taylor]: Taking taylor expansion of (* n PI) in n 11.538 * [taylor]: Taking taylor expansion of n in n 11.538 * [backup-simplify]: Simplify 0 into 0 11.538 * [backup-simplify]: Simplify 1 into 1 11.538 * [taylor]: Taking taylor expansion of PI in n 11.538 * [backup-simplify]: Simplify PI into PI 11.538 * [backup-simplify]: Simplify (* 0 PI) into 0 11.539 * [backup-simplify]: Simplify (* 2.0 0) into 0 11.539 * [backup-simplify]: Simplify 0 into 0 11.540 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 11.542 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 11.542 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.543 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 11.544 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 11.544 * [backup-simplify]: Simplify 0 into 0 11.545 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 11.546 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 11.546 * [backup-simplify]: Simplify 0 into 0 11.548 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.549 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 11.549 * [backup-simplify]: Simplify 0 into 0 11.550 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 11.552 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 11.552 * [backup-simplify]: Simplify 0 into 0 11.554 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 11.555 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 11.555 * [backup-simplify]: Simplify 0 into 0 11.557 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 11.559 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 11.559 * [backup-simplify]: Simplify 0 into 0 11.559 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 11.560 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 11.560 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 11.560 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 11.560 * [taylor]: Taking taylor expansion of 2.0 in n 11.560 * [backup-simplify]: Simplify 2.0 into 2.0 11.560 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.560 * [taylor]: Taking taylor expansion of PI in n 11.560 * [backup-simplify]: Simplify PI into PI 11.560 * [taylor]: Taking taylor expansion of n in n 11.560 * [backup-simplify]: Simplify 0 into 0 11.560 * [backup-simplify]: Simplify 1 into 1 11.560 * [backup-simplify]: Simplify (/ PI 1) into PI 11.560 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 11.561 * [taylor]: Taking taylor expansion of 2.0 in n 11.561 * [backup-simplify]: Simplify 2.0 into 2.0 11.561 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.561 * [taylor]: Taking taylor expansion of PI in n 11.561 * [backup-simplify]: Simplify PI into PI 11.561 * [taylor]: Taking taylor expansion of n in n 11.561 * [backup-simplify]: Simplify 0 into 0 11.561 * [backup-simplify]: Simplify 1 into 1 11.561 * [backup-simplify]: Simplify (/ PI 1) into PI 11.562 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.562 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.564 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 11.564 * [backup-simplify]: Simplify 0 into 0 11.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.565 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.566 * [backup-simplify]: Simplify 0 into 0 11.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.574 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.574 * [backup-simplify]: Simplify 0 into 0 11.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.576 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.576 * [backup-simplify]: Simplify 0 into 0 11.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.578 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 11.578 * [backup-simplify]: Simplify 0 into 0 11.579 * [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 11.580 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 11.580 * [backup-simplify]: Simplify 0 into 0 11.581 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 11.581 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 11.581 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 11.581 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 11.581 * [taylor]: Taking taylor expansion of -2.0 in n 11.581 * [backup-simplify]: Simplify -2.0 into -2.0 11.581 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.581 * [taylor]: Taking taylor expansion of PI in n 11.581 * [backup-simplify]: Simplify PI into PI 11.581 * [taylor]: Taking taylor expansion of n in n 11.581 * [backup-simplify]: Simplify 0 into 0 11.581 * [backup-simplify]: Simplify 1 into 1 11.582 * [backup-simplify]: Simplify (/ PI 1) into PI 11.582 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 11.582 * [taylor]: Taking taylor expansion of -2.0 in n 11.582 * [backup-simplify]: Simplify -2.0 into -2.0 11.582 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.582 * [taylor]: Taking taylor expansion of PI in n 11.582 * [backup-simplify]: Simplify PI into PI 11.582 * [taylor]: Taking taylor expansion of n in n 11.582 * [backup-simplify]: Simplify 0 into 0 11.582 * [backup-simplify]: Simplify 1 into 1 11.582 * [backup-simplify]: Simplify (/ PI 1) into PI 11.583 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.583 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 11.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.584 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 11.584 * [backup-simplify]: Simplify 0 into 0 11.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.586 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.586 * [backup-simplify]: Simplify 0 into 0 11.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.587 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.587 * [backup-simplify]: Simplify 0 into 0 11.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.588 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.589 * [backup-simplify]: Simplify 0 into 0 11.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.590 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 11.590 * [backup-simplify]: Simplify 0 into 0 11.591 * [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 11.592 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 11.592 * [backup-simplify]: Simplify 0 into 0 11.592 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 11.592 * * * [progress]: simplifying candidates 11.595 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ 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2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 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 (* (* 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) (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 11.600 * * [simplify]: Extracting # 0 : cost 0 11.600 * * [simplify]: Extracting # 1 : cost 0 11.600 * * [simplify]: Extracting # 2 : cost 0 11.600 * * [simplify]: Extracting # 3 : cost 0 11.601 * * [simplify]: Extracting # 4 : cost 0 11.601 * * [simplify]: Extracting # 5 : cost 0 11.602 * * [simplify]: Extracting # 6 : cost 0 11.602 * * [simplify]: Extracting # 7 : cost 0 11.602 * * [simplify]: Extracting # 8 : cost 0 11.602 * * [simplify]: Extracting # 9 : cost 0 11.603 * * [simplify]: Extracting # 10 : cost 0 11.603 * * [simplify]: Extracting # 11 : cost 0 11.603 * * [simplify]: Extracting # 12 : cost 0 11.604 * * [simplify]: Extracting # 13 : cost 0 11.604 * * [simplify]: iteration 0 : 245 enodes (cost 3332 ) 11.730 * * [simplify]: Extracting # 0 : cost 0 11.731 * * [simplify]: Extracting # 1 : cost 0 11.732 * * [simplify]: Extracting # 2 : cost 0 11.734 * * [simplify]: Extracting # 3 : cost 0 11.735 * * [simplify]: Extracting # 4 : cost 0 11.736 * * [simplify]: Extracting # 5 : cost 0 11.737 * * [simplify]: iteration 1 : 796 enodes (cost 3098 ) 12.438 * * [simplify]: Extracting # 0 : cost 0 12.442 * * [simplify]: Extracting # 1 : cost 0 12.451 * * [simplify]: Extracting # 2 : cost 0 12.457 * * [simplify]: Extracting # 3 : cost 0 12.465 * * [simplify]: Extracting # 4 : cost 0 12.473 * * [simplify]: iteration 2 : 3630 enodes (cost 2986 ) 13.954 * * [simplify]: Extracting # 0 : cost 0 13.969 * * [simplify]: Extracting # 1 : cost 0 13.980 * * [simplify]: Extracting # 2 : cost 0 13.990 * * [simplify]: iteration done: 5000 enodes (cost 2978 ) 13.994 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (/ (- 1.0 k) 2.0) 2) (log (* (* 2.0 PI) n))) (* (/ (/ (- 1.0 k) 2.0) 2) (log (* (* 2.0 PI) n))) (* (/ (/ (- 1.0 k) 2.0) 2) (log (* (* 2.0 PI) n))) (* (/ (/ (- 1.0 k) 2.0) 2) (log (* (* 2.0 PI) n))) (/ (/ (- 1.0 k) 2) 2.0) (/ (/ (- 1.0 k) 2) 2.0) (/ (/ (- 1.0 k) 2) 2.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* 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(cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* PI n) 2.0) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* PI n) 2.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (- 1.0 k)) (* (* PI n) 2.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (/ (/ (- 1.0 k) 2.0) 2) (log (* (* 2.0 PI) n))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* PI n) 2.0) (/ (/ (- 1.0 k) 2.0) 4)) (pow (* (* PI n) 2.0) (/ (/ (- 1.0 k) 2.0) 4)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* PI n) 2.0) (* (* PI n) 2.0) (log (* (* PI n) 2.0)) (log (* (* PI n) 2.0)) (log (* (* PI n) 2.0)) (exp (* (* 2.0 PI) n)) (* (pow 2.0 3) (* (pow n 3) (pow PI 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)) (* (* (cbrt n) (cbrt n)) (* 2.0 PI)) (* (sqrt n) (* 2.0 PI)) (* 2.0 PI) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* PI n) 2.0) (* (* PI n) 2.0) (log (* (* PI n) 2.0)) (log (* (* PI n) 2.0)) (log (* (* PI n) 2.0)) (exp (* (* 2.0 PI) n)) (* (pow 2.0 3) (* (pow n 3) (pow PI 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)) (* (* (cbrt n) (cbrt n)) (* 2.0 PI)) (* (sqrt n) (* 2.0 PI)) (* 2.0 PI) (* PI n) (fma (* (* 0.03125 (pow k 2)) (pow (log (* 2.0 PI)) 2)) (pow (* (* 2.0 PI) n) 0.25) (- (fma (* (* 0.03125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.25) (fma (pow k 2) (* (* (log n) (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.25))) 0.0625) (pow (* (* 2.0 PI) n) 0.25))) (* (* 0.25 k) (fma (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.25) (* (pow (* (* 2.0 PI) n) 0.25) (log n)))))) (pow (pow (* (* 2.0 PI) n) 0.25) (- 1.0 k)) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (* (* 0.03125 (pow k 2)) (pow (log (* 2.0 PI)) 2)) (pow (* (* 2.0 PI) n) 0.25) (- (fma (* (* 0.03125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.25) (fma (pow k 2) (* (* (log n) (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.25))) 0.0625) (pow (* (* 2.0 PI) n) 0.25))) (* (* 0.25 k) (fma (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.25) (* (pow (* (* 2.0 PI) n) 0.25) (log n)))))) (pow (pow (* (* 2.0 PI) n) 0.25) (- 1.0 k)) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* PI n) 2.0) (* (* PI n) 2.0) (* (* PI n) 2.0) (* (* PI n) 2.0) (* (* PI n) 2.0) (* (* PI n) 2.0) 13.997 * * * [progress]: adding candidates to table 15.520 * * [progress]: iteration 4 / 4 15.520 * * * [progress]: picking best candidate 15.569 * * * * [pick]: Picked # 15.569 * * * [progress]: localizing error 15.620 * * * [progress]: generating rewritten candidates 15.620 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 15.628 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 15.640 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 15.647 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 15.730 * * * [progress]: generating series expansions 15.730 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 15.730 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 15.731 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 15.731 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 15.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 15.731 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 15.731 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 15.731 * [taylor]: Taking taylor expansion of 0.5 in k 15.731 * [backup-simplify]: Simplify 0.5 into 0.5 15.731 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.731 * [taylor]: Taking taylor expansion of 1.0 in k 15.731 * [backup-simplify]: Simplify 1.0 into 1.0 15.731 * [taylor]: Taking taylor expansion of k in k 15.731 * [backup-simplify]: Simplify 0 into 0 15.731 * [backup-simplify]: Simplify 1 into 1 15.731 * [taylor]: Taking taylor expansion of (log n) in k 15.731 * [taylor]: Taking taylor expansion of n in k 15.731 * [backup-simplify]: Simplify n into n 15.731 * [backup-simplify]: Simplify (log n) into (log n) 15.732 * [backup-simplify]: Simplify (- 0) into 0 15.732 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.733 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 15.733 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 15.733 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 15.733 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 15.733 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 15.733 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 15.733 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 15.733 * [taylor]: Taking taylor expansion of 0.5 in n 15.733 * [backup-simplify]: Simplify 0.5 into 0.5 15.733 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.733 * [taylor]: Taking taylor expansion of 1.0 in n 15.733 * [backup-simplify]: Simplify 1.0 into 1.0 15.733 * [taylor]: Taking taylor expansion of k in n 15.733 * [backup-simplify]: Simplify k into k 15.733 * [taylor]: Taking taylor expansion of (log n) in n 15.733 * [taylor]: Taking taylor expansion of n in n 15.733 * [backup-simplify]: Simplify 0 into 0 15.733 * [backup-simplify]: Simplify 1 into 1 15.733 * [backup-simplify]: Simplify (log 1) into 0 15.734 * [backup-simplify]: Simplify (- k) into (- k) 15.734 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.734 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 15.734 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.734 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 15.734 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 15.734 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 15.734 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 15.734 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 15.735 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 15.735 * [taylor]: Taking taylor expansion of 0.5 in n 15.735 * [backup-simplify]: Simplify 0.5 into 0.5 15.735 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.735 * [taylor]: Taking taylor expansion of 1.0 in n 15.735 * [backup-simplify]: Simplify 1.0 into 1.0 15.735 * [taylor]: Taking taylor expansion of k in n 15.735 * [backup-simplify]: Simplify k into k 15.735 * [taylor]: Taking taylor expansion of (log n) in n 15.735 * [taylor]: Taking taylor expansion of n in n 15.735 * [backup-simplify]: Simplify 0 into 0 15.735 * [backup-simplify]: Simplify 1 into 1 15.735 * [backup-simplify]: Simplify (log 1) into 0 15.735 * [backup-simplify]: Simplify (- k) into (- k) 15.735 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.735 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 15.736 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.736 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 15.736 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 15.736 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 15.736 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 15.736 * [taylor]: Taking taylor expansion of 0.5 in k 15.736 * [backup-simplify]: Simplify 0.5 into 0.5 15.736 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 15.736 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.736 * [taylor]: Taking taylor expansion of 1.0 in k 15.736 * [backup-simplify]: Simplify 1.0 into 1.0 15.736 * [taylor]: Taking taylor expansion of k in k 15.736 * [backup-simplify]: Simplify 0 into 0 15.736 * [backup-simplify]: Simplify 1 into 1 15.736 * [taylor]: Taking taylor expansion of (log n) in k 15.736 * [taylor]: Taking taylor expansion of n in k 15.736 * [backup-simplify]: Simplify n into n 15.737 * [backup-simplify]: Simplify (log n) into (log n) 15.737 * [backup-simplify]: Simplify (- 0) into 0 15.737 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.737 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.737 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 15.738 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 15.738 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 15.739 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.739 * [backup-simplify]: Simplify (- 0) into 0 15.740 * [backup-simplify]: Simplify (+ 0 0) into 0 15.740 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 15.741 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.741 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 15.742 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.742 * [taylor]: Taking taylor expansion of 0 in k 15.742 * [backup-simplify]: Simplify 0 into 0 15.742 * [backup-simplify]: Simplify 0 into 0 15.743 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 15.743 * [backup-simplify]: Simplify (- 1) into -1 15.743 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.744 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 15.744 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 15.744 * [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))) 15.745 * [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))) 15.748 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.748 * [backup-simplify]: Simplify (- 0) into 0 15.748 * [backup-simplify]: Simplify (+ 0 0) into 0 15.749 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 15.750 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.750 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 15.752 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.752 * [taylor]: Taking taylor expansion of 0 in k 15.752 * [backup-simplify]: Simplify 0 into 0 15.752 * [backup-simplify]: Simplify 0 into 0 15.753 * [backup-simplify]: Simplify 0 into 0 15.755 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 15.755 * [backup-simplify]: Simplify (- 0) into 0 15.755 * [backup-simplify]: Simplify (+ 0 0) into 0 15.756 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 15.757 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 15.758 * [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))) 15.758 * [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))) 15.760 * [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)))) 15.760 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 15.760 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 15.760 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 15.760 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 15.760 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 15.760 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 15.760 * [taylor]: Taking taylor expansion of 0.5 in k 15.760 * [backup-simplify]: Simplify 0.5 into 0.5 15.760 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.760 * [taylor]: Taking taylor expansion of 1.0 in k 15.761 * [backup-simplify]: Simplify 1.0 into 1.0 15.761 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.761 * [taylor]: Taking taylor expansion of k in k 15.761 * [backup-simplify]: Simplify 0 into 0 15.761 * [backup-simplify]: Simplify 1 into 1 15.761 * [backup-simplify]: Simplify (/ 1 1) into 1 15.761 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 15.761 * [taylor]: Taking taylor expansion of (/ 1 n) in k 15.761 * [taylor]: Taking taylor expansion of n in k 15.761 * [backup-simplify]: Simplify n into n 15.761 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.761 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 15.762 * [backup-simplify]: Simplify (- 1) into -1 15.762 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.763 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 15.763 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 15.763 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 15.763 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 15.763 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 15.763 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 15.763 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 15.763 * [taylor]: Taking taylor expansion of 0.5 in n 15.763 * [backup-simplify]: Simplify 0.5 into 0.5 15.763 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.763 * [taylor]: Taking taylor expansion of 1.0 in n 15.763 * [backup-simplify]: Simplify 1.0 into 1.0 15.763 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.764 * [taylor]: Taking taylor expansion of k in n 15.764 * [backup-simplify]: Simplify k into k 15.764 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.764 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.764 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.764 * [taylor]: Taking taylor expansion of n in n 15.764 * [backup-simplify]: Simplify 0 into 0 15.764 * [backup-simplify]: Simplify 1 into 1 15.764 * [backup-simplify]: Simplify (/ 1 1) into 1 15.765 * [backup-simplify]: Simplify (log 1) into 0 15.765 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.765 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.765 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 15.766 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.766 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 15.766 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 15.766 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 15.766 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 15.766 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 15.766 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 15.766 * [taylor]: Taking taylor expansion of 0.5 in n 15.766 * [backup-simplify]: Simplify 0.5 into 0.5 15.766 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.766 * [taylor]: Taking taylor expansion of 1.0 in n 15.766 * [backup-simplify]: Simplify 1.0 into 1.0 15.766 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.766 * [taylor]: Taking taylor expansion of k in n 15.766 * [backup-simplify]: Simplify k into k 15.767 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.767 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.767 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.767 * [taylor]: Taking taylor expansion of n in n 15.767 * [backup-simplify]: Simplify 0 into 0 15.767 * [backup-simplify]: Simplify 1 into 1 15.767 * [backup-simplify]: Simplify (/ 1 1) into 1 15.768 * [backup-simplify]: Simplify (log 1) into 0 15.768 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.768 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.768 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 15.768 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.769 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 15.769 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 15.769 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 15.769 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 15.769 * [taylor]: Taking taylor expansion of -0.5 in k 15.769 * [backup-simplify]: Simplify -0.5 into -0.5 15.769 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 15.769 * [taylor]: Taking taylor expansion of (log n) in k 15.769 * [taylor]: Taking taylor expansion of n in k 15.769 * [backup-simplify]: Simplify n into n 15.769 * [backup-simplify]: Simplify (log n) into (log n) 15.769 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.769 * [taylor]: Taking taylor expansion of 1.0 in k 15.769 * [backup-simplify]: Simplify 1.0 into 1.0 15.769 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.769 * [taylor]: Taking taylor expansion of k in k 15.769 * [backup-simplify]: Simplify 0 into 0 15.769 * [backup-simplify]: Simplify 1 into 1 15.770 * [backup-simplify]: Simplify (/ 1 1) into 1 15.770 * [backup-simplify]: Simplify (- 1) into -1 15.771 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.771 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 15.771 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 15.771 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 15.771 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 15.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.774 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.774 * [backup-simplify]: Simplify (- 0) into 0 15.774 * [backup-simplify]: Simplify (+ 0 0) into 0 15.775 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 15.776 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.776 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 15.777 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.777 * [taylor]: Taking taylor expansion of 0 in k 15.777 * [backup-simplify]: Simplify 0 into 0 15.777 * [backup-simplify]: Simplify 0 into 0 15.777 * [backup-simplify]: Simplify 0 into 0 15.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.780 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.781 * [backup-simplify]: Simplify (- 0) into 0 15.781 * [backup-simplify]: Simplify (+ 0 0) into 0 15.782 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 15.783 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.783 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 15.785 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.785 * [taylor]: Taking taylor expansion of 0 in k 15.785 * [backup-simplify]: Simplify 0 into 0 15.785 * [backup-simplify]: Simplify 0 into 0 15.785 * [backup-simplify]: Simplify 0 into 0 15.785 * [backup-simplify]: Simplify 0 into 0 15.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.798 * [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 15.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.800 * [backup-simplify]: Simplify (- 0) into 0 15.800 * [backup-simplify]: Simplify (+ 0 0) into 0 15.801 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 15.802 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.803 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 15.805 * [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 15.805 * [taylor]: Taking taylor expansion of 0 in k 15.805 * [backup-simplify]: Simplify 0 into 0 15.805 * [backup-simplify]: Simplify 0 into 0 15.805 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 15.805 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 15.806 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 15.806 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 15.806 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 15.806 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 15.806 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 15.806 * [taylor]: Taking taylor expansion of 0.5 in k 15.806 * [backup-simplify]: Simplify 0.5 into 0.5 15.806 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.806 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.806 * [taylor]: Taking taylor expansion of k in k 15.806 * [backup-simplify]: Simplify 0 into 0 15.806 * [backup-simplify]: Simplify 1 into 1 15.806 * [backup-simplify]: Simplify (/ 1 1) into 1 15.807 * [taylor]: Taking taylor expansion of 1.0 in k 15.807 * [backup-simplify]: Simplify 1.0 into 1.0 15.807 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 15.807 * [taylor]: Taking taylor expansion of (/ -1 n) in k 15.807 * [taylor]: Taking taylor expansion of -1 in k 15.807 * [backup-simplify]: Simplify -1 into -1 15.807 * [taylor]: Taking taylor expansion of n in k 15.807 * [backup-simplify]: Simplify n into n 15.807 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 15.807 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 15.807 * [backup-simplify]: Simplify (+ 1 0) into 1 15.808 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.808 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 15.808 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 15.808 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 15.808 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 15.809 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 15.809 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 15.809 * [taylor]: Taking taylor expansion of 0.5 in n 15.809 * [backup-simplify]: Simplify 0.5 into 0.5 15.809 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.809 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.809 * [taylor]: Taking taylor expansion of k in n 15.809 * [backup-simplify]: Simplify k into k 15.809 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.809 * [taylor]: Taking taylor expansion of 1.0 in n 15.809 * [backup-simplify]: Simplify 1.0 into 1.0 15.809 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.809 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.809 * [taylor]: Taking taylor expansion of -1 in n 15.809 * [backup-simplify]: Simplify -1 into -1 15.809 * [taylor]: Taking taylor expansion of n in n 15.809 * [backup-simplify]: Simplify 0 into 0 15.809 * [backup-simplify]: Simplify 1 into 1 15.810 * [backup-simplify]: Simplify (/ -1 1) into -1 15.810 * [backup-simplify]: Simplify (log -1) into (log -1) 15.810 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.810 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 15.811 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.812 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.812 * [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)))) 15.813 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 15.813 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 15.813 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 15.813 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 15.813 * [taylor]: Taking taylor expansion of 0.5 in n 15.813 * [backup-simplify]: Simplify 0.5 into 0.5 15.813 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.813 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.813 * [taylor]: Taking taylor expansion of k in n 15.813 * [backup-simplify]: Simplify k into k 15.813 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.813 * [taylor]: Taking taylor expansion of 1.0 in n 15.813 * [backup-simplify]: Simplify 1.0 into 1.0 15.813 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.813 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.813 * [taylor]: Taking taylor expansion of -1 in n 15.813 * [backup-simplify]: Simplify -1 into -1 15.813 * [taylor]: Taking taylor expansion of n in n 15.813 * [backup-simplify]: Simplify 0 into 0 15.813 * [backup-simplify]: Simplify 1 into 1 15.814 * [backup-simplify]: Simplify (/ -1 1) into -1 15.815 * [backup-simplify]: Simplify (log -1) into (log -1) 15.815 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.815 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 15.816 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.817 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.817 * [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)))) 15.818 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 15.818 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 15.818 * [taylor]: Taking taylor expansion of 0.5 in k 15.818 * [backup-simplify]: Simplify 0.5 into 0.5 15.818 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 15.818 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 15.818 * [taylor]: Taking taylor expansion of (log -1) in k 15.818 * [taylor]: Taking taylor expansion of -1 in k 15.818 * [backup-simplify]: Simplify -1 into -1 15.818 * [backup-simplify]: Simplify (log -1) into (log -1) 15.818 * [taylor]: Taking taylor expansion of (log n) in k 15.818 * [taylor]: Taking taylor expansion of n in k 15.819 * [backup-simplify]: Simplify n into n 15.819 * [backup-simplify]: Simplify (log n) into (log n) 15.819 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.819 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.819 * [taylor]: Taking taylor expansion of k in k 15.819 * [backup-simplify]: Simplify 0 into 0 15.819 * [backup-simplify]: Simplify 1 into 1 15.819 * [backup-simplify]: Simplify (/ 1 1) into 1 15.819 * [taylor]: Taking taylor expansion of 1.0 in k 15.819 * [backup-simplify]: Simplify 1.0 into 1.0 15.819 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 15.820 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 15.820 * [backup-simplify]: Simplify (+ 1 0) into 1 15.821 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 15.821 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 15.822 * [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)))) 15.823 * [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)))) 15.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.825 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 15.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.826 * [backup-simplify]: Simplify (+ 0 0) into 0 15.826 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 15.827 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.828 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 15.829 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.829 * [taylor]: Taking taylor expansion of 0 in k 15.829 * [backup-simplify]: Simplify 0 into 0 15.829 * [backup-simplify]: Simplify 0 into 0 15.829 * [backup-simplify]: Simplify 0 into 0 15.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.833 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 15.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.833 * [backup-simplify]: Simplify (+ 0 0) into 0 15.834 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 15.835 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.836 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 15.838 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.838 * [taylor]: Taking taylor expansion of 0 in k 15.838 * [backup-simplify]: Simplify 0 into 0 15.838 * [backup-simplify]: Simplify 0 into 0 15.838 * [backup-simplify]: Simplify 0 into 0 15.838 * [backup-simplify]: Simplify 0 into 0 15.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.844 * [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 15.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.845 * [backup-simplify]: Simplify (+ 0 0) into 0 15.846 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 15.847 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.848 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 15.850 * [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 15.850 * [taylor]: Taking taylor expansion of 0 in k 15.850 * [backup-simplify]: Simplify 0 into 0 15.850 * [backup-simplify]: Simplify 0 into 0 15.851 * [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)))))) 15.851 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 15.852 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 15.852 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 15.852 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 15.852 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 15.852 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 15.852 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 15.852 * [taylor]: Taking taylor expansion of 0.5 in k 15.852 * [backup-simplify]: Simplify 0.5 into 0.5 15.852 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.852 * [taylor]: Taking taylor expansion of 1.0 in k 15.852 * [backup-simplify]: Simplify 1.0 into 1.0 15.852 * [taylor]: Taking taylor expansion of k in k 15.852 * [backup-simplify]: Simplify 0 into 0 15.852 * [backup-simplify]: Simplify 1 into 1 15.852 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.852 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.852 * [taylor]: Taking taylor expansion of 2.0 in k 15.852 * [backup-simplify]: Simplify 2.0 into 2.0 15.852 * [taylor]: Taking taylor expansion of PI in k 15.852 * [backup-simplify]: Simplify PI into PI 15.853 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.854 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.854 * [backup-simplify]: Simplify (- 0) into 0 15.855 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.855 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 15.857 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 15.859 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 15.859 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 15.859 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 15.859 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 15.859 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 15.859 * [taylor]: Taking taylor expansion of 0.5 in k 15.859 * [backup-simplify]: Simplify 0.5 into 0.5 15.859 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.859 * [taylor]: Taking taylor expansion of 1.0 in k 15.860 * [backup-simplify]: Simplify 1.0 into 1.0 15.860 * [taylor]: Taking taylor expansion of k in k 15.860 * [backup-simplify]: Simplify 0 into 0 15.860 * [backup-simplify]: Simplify 1 into 1 15.860 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.860 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.860 * [taylor]: Taking taylor expansion of 2.0 in k 15.860 * [backup-simplify]: Simplify 2.0 into 2.0 15.860 * [taylor]: Taking taylor expansion of PI in k 15.860 * [backup-simplify]: Simplify PI into PI 15.860 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.861 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.862 * [backup-simplify]: Simplify (- 0) into 0 15.862 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.862 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 15.864 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 15.866 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 15.868 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 15.868 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 15.870 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 15.871 * [backup-simplify]: Simplify (- 1) into -1 15.871 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.872 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 15.876 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 15.889 * [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))) 15.895 * [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))) 15.896 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 15.900 * [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 15.900 * [backup-simplify]: Simplify (- 0) into 0 15.901 * [backup-simplify]: Simplify (+ 0 0) into 0 15.901 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 15.903 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 15.918 * [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))) 15.926 * [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))) 15.942 * [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)))) 15.943 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 15.943 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 15.943 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 15.943 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 15.943 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 15.943 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 15.943 * [taylor]: Taking taylor expansion of 0.5 in k 15.944 * [backup-simplify]: Simplify 0.5 into 0.5 15.944 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.944 * [taylor]: Taking taylor expansion of 1.0 in k 15.944 * [backup-simplify]: Simplify 1.0 into 1.0 15.944 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.944 * [taylor]: Taking taylor expansion of k in k 15.944 * [backup-simplify]: Simplify 0 into 0 15.944 * [backup-simplify]: Simplify 1 into 1 15.944 * [backup-simplify]: Simplify (/ 1 1) into 1 15.944 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.944 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.944 * [taylor]: Taking taylor expansion of 2.0 in k 15.944 * [backup-simplify]: Simplify 2.0 into 2.0 15.944 * [taylor]: Taking taylor expansion of PI in k 15.944 * [backup-simplify]: Simplify PI into PI 15.945 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.946 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.946 * [backup-simplify]: Simplify (- 1) into -1 15.946 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.947 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 15.957 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 15.958 * [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))))) 15.958 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 15.958 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 15.958 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 15.958 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 15.958 * [taylor]: Taking taylor expansion of 0.5 in k 15.958 * [backup-simplify]: Simplify 0.5 into 0.5 15.958 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.958 * [taylor]: Taking taylor expansion of 1.0 in k 15.959 * [backup-simplify]: Simplify 1.0 into 1.0 15.959 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.959 * [taylor]: Taking taylor expansion of k in k 15.959 * [backup-simplify]: Simplify 0 into 0 15.959 * [backup-simplify]: Simplify 1 into 1 15.959 * [backup-simplify]: Simplify (/ 1 1) into 1 15.959 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.959 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.959 * [taylor]: Taking taylor expansion of 2.0 in k 15.959 * [backup-simplify]: Simplify 2.0 into 2.0 15.959 * [taylor]: Taking taylor expansion of PI in k 15.959 * [backup-simplify]: Simplify PI into PI 15.960 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.961 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.961 * [backup-simplify]: Simplify (- 1) into -1 15.961 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.962 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 15.963 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 15.965 * [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))))) 15.966 * [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))))) 15.966 * [backup-simplify]: Simplify 0 into 0 15.966 * [backup-simplify]: Simplify 0 into 0 15.966 * [backup-simplify]: Simplify 0 into 0 15.966 * [backup-simplify]: Simplify 0 into 0 15.966 * [backup-simplify]: Simplify 0 into 0 15.966 * [backup-simplify]: Simplify 0 into 0 15.967 * [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))))) 15.968 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 15.968 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 15.968 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 15.968 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 15.968 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 15.968 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 15.968 * [taylor]: Taking taylor expansion of 0.5 in k 15.968 * [backup-simplify]: Simplify 0.5 into 0.5 15.968 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.968 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.968 * [taylor]: Taking taylor expansion of k in k 15.968 * [backup-simplify]: Simplify 0 into 0 15.968 * [backup-simplify]: Simplify 1 into 1 15.969 * [backup-simplify]: Simplify (/ 1 1) into 1 15.969 * [taylor]: Taking taylor expansion of 1.0 in k 15.969 * [backup-simplify]: Simplify 1.0 into 1.0 15.969 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.969 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.969 * [taylor]: Taking taylor expansion of 2.0 in k 15.969 * [backup-simplify]: Simplify 2.0 into 2.0 15.969 * [taylor]: Taking taylor expansion of PI in k 15.969 * [backup-simplify]: Simplify PI into PI 15.970 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.971 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.971 * [backup-simplify]: Simplify (+ 1 0) into 1 15.971 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.973 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 15.974 * [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)))) 15.974 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 15.974 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 15.974 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 15.974 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 15.974 * [taylor]: Taking taylor expansion of 0.5 in k 15.974 * [backup-simplify]: Simplify 0.5 into 0.5 15.974 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.974 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.974 * [taylor]: Taking taylor expansion of k in k 15.974 * [backup-simplify]: Simplify 0 into 0 15.974 * [backup-simplify]: Simplify 1 into 1 15.974 * [backup-simplify]: Simplify (/ 1 1) into 1 15.975 * [taylor]: Taking taylor expansion of 1.0 in k 15.975 * [backup-simplify]: Simplify 1.0 into 1.0 15.975 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.975 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.975 * [taylor]: Taking taylor expansion of 2.0 in k 15.975 * [backup-simplify]: Simplify 2.0 into 2.0 15.975 * [taylor]: Taking taylor expansion of PI in k 15.975 * [backup-simplify]: Simplify PI into PI 15.975 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.976 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.976 * [backup-simplify]: Simplify (+ 1 0) into 1 15.976 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.977 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 15.978 * [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)))) 15.979 * [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)))) 15.979 * [backup-simplify]: Simplify 0 into 0 15.979 * [backup-simplify]: Simplify 0 into 0 15.979 * [backup-simplify]: Simplify 0 into 0 15.979 * [backup-simplify]: Simplify 0 into 0 15.979 * [backup-simplify]: Simplify 0 into 0 15.979 * [backup-simplify]: Simplify 0 into 0 15.980 * [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))))) 15.980 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 15.980 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 15.980 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 15.980 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 15.980 * [taylor]: Taking taylor expansion of 1.0 in k 15.980 * [backup-simplify]: Simplify 1.0 into 1.0 15.980 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 15.980 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.980 * [taylor]: Taking taylor expansion of k in k 15.980 * [backup-simplify]: Simplify 0 into 0 15.980 * [backup-simplify]: Simplify 1 into 1 15.980 * [backup-simplify]: Simplify (/ 1 1) into 1 15.981 * [backup-simplify]: Simplify (sqrt 0) into 0 15.982 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.982 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 15.982 * [taylor]: Taking taylor expansion of 1.0 in k 15.982 * [backup-simplify]: Simplify 1.0 into 1.0 15.982 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 15.982 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.982 * [taylor]: Taking taylor expansion of k in k 15.982 * [backup-simplify]: Simplify 0 into 0 15.982 * [backup-simplify]: Simplify 1 into 1 15.983 * [backup-simplify]: Simplify (/ 1 1) into 1 15.983 * [backup-simplify]: Simplify (sqrt 0) into 0 15.984 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.984 * [backup-simplify]: Simplify (* 1.0 0) into 0 15.984 * [backup-simplify]: Simplify 0 into 0 15.985 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 15.985 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 15.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.988 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 15.989 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 15.989 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 15.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.992 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 15.994 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 15.994 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 15.995 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 15.995 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 15.995 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 15.995 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 15.995 * [taylor]: Taking taylor expansion of 1.0 in k 15.995 * [backup-simplify]: Simplify 1.0 into 1.0 15.995 * [taylor]: Taking taylor expansion of (sqrt k) in k 15.995 * [taylor]: Taking taylor expansion of k in k 15.995 * [backup-simplify]: Simplify 0 into 0 15.995 * [backup-simplify]: Simplify 1 into 1 15.995 * [backup-simplify]: Simplify (sqrt 0) into 0 15.996 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.996 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 15.996 * [taylor]: Taking taylor expansion of 1.0 in k 15.996 * [backup-simplify]: Simplify 1.0 into 1.0 15.996 * [taylor]: Taking taylor expansion of (sqrt k) in k 15.996 * [taylor]: Taking taylor expansion of k in k 15.996 * [backup-simplify]: Simplify 0 into 0 15.996 * [backup-simplify]: Simplify 1 into 1 15.996 * [backup-simplify]: Simplify (sqrt 0) into 0 15.997 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.998 * [backup-simplify]: Simplify (* 1.0 0) into 0 15.998 * [backup-simplify]: Simplify 0 into 0 15.998 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 15.999 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 16.000 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.002 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 16.002 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 16.006 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.008 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 16.009 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 16.011 * [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)))))))) 16.011 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 16.011 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 16.011 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 16.011 * [taylor]: Taking taylor expansion of 1.0 in k 16.011 * [backup-simplify]: Simplify 1.0 into 1.0 16.011 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.011 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.011 * [taylor]: Taking taylor expansion of -1 in k 16.011 * [backup-simplify]: Simplify -1 into -1 16.011 * [taylor]: Taking taylor expansion of k in k 16.011 * [backup-simplify]: Simplify 0 into 0 16.011 * [backup-simplify]: Simplify 1 into 1 16.012 * [backup-simplify]: Simplify (/ -1 1) into -1 16.012 * [backup-simplify]: Simplify (sqrt 0) into 0 16.014 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.014 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 16.014 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 16.014 * [taylor]: Taking taylor expansion of 1.0 in k 16.014 * [backup-simplify]: Simplify 1.0 into 1.0 16.014 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.014 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.014 * [taylor]: Taking taylor expansion of -1 in k 16.014 * [backup-simplify]: Simplify -1 into -1 16.014 * [taylor]: Taking taylor expansion of k in k 16.014 * [backup-simplify]: Simplify 0 into 0 16.015 * [backup-simplify]: Simplify 1 into 1 16.015 * [backup-simplify]: Simplify (/ -1 1) into -1 16.015 * [backup-simplify]: Simplify (sqrt 0) into 0 16.017 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.017 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 16.017 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.022 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.025 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 16.025 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 16.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.031 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.035 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 16.035 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 16.036 * [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))))) 16.036 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 16.037 * [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))))) 16.037 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 16.037 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 16.037 * [taylor]: Taking taylor expansion of 1.0 in k 16.037 * [backup-simplify]: Simplify 1.0 into 1.0 16.037 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 16.037 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 16.037 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.037 * [taylor]: Taking taylor expansion of k in k 16.037 * [backup-simplify]: Simplify 0 into 0 16.038 * [backup-simplify]: Simplify 1 into 1 16.038 * [backup-simplify]: Simplify (/ 1 1) into 1 16.038 * [backup-simplify]: Simplify (sqrt 0) into 0 16.039 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.039 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 16.039 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 16.039 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 16.039 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.039 * [taylor]: Taking taylor expansion of 0.5 in k 16.040 * [backup-simplify]: Simplify 0.5 into 0.5 16.040 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.040 * [taylor]: Taking taylor expansion of 1.0 in k 16.040 * [backup-simplify]: Simplify 1.0 into 1.0 16.040 * [taylor]: Taking taylor expansion of k in k 16.040 * [backup-simplify]: Simplify 0 into 0 16.040 * [backup-simplify]: Simplify 1 into 1 16.040 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.040 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.040 * [taylor]: Taking taylor expansion of 2.0 in k 16.040 * [backup-simplify]: Simplify 2.0 into 2.0 16.040 * [taylor]: Taking taylor expansion of PI in k 16.040 * [backup-simplify]: Simplify PI into PI 16.040 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.041 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.041 * [backup-simplify]: Simplify (- 0) into 0 16.042 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.042 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.044 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 16.047 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 16.047 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 16.047 * [taylor]: Taking taylor expansion of 1.0 in k 16.047 * [backup-simplify]: Simplify 1.0 into 1.0 16.047 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 16.047 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 16.047 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.047 * [taylor]: Taking taylor expansion of k in k 16.047 * [backup-simplify]: Simplify 0 into 0 16.047 * [backup-simplify]: Simplify 1 into 1 16.048 * [backup-simplify]: Simplify (/ 1 1) into 1 16.048 * [backup-simplify]: Simplify (sqrt 0) into 0 16.049 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.050 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 16.050 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 16.050 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 16.050 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.050 * [taylor]: Taking taylor expansion of 0.5 in k 16.050 * [backup-simplify]: Simplify 0.5 into 0.5 16.050 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.050 * [taylor]: Taking taylor expansion of 1.0 in k 16.050 * [backup-simplify]: Simplify 1.0 into 1.0 16.050 * [taylor]: Taking taylor expansion of k in k 16.050 * [backup-simplify]: Simplify 0 into 0 16.050 * [backup-simplify]: Simplify 1 into 1 16.050 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.050 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.050 * [taylor]: Taking taylor expansion of 2.0 in k 16.050 * [backup-simplify]: Simplify 2.0 into 2.0 16.050 * [taylor]: Taking taylor expansion of PI in k 16.050 * [backup-simplify]: Simplify PI into PI 16.051 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.052 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.052 * [backup-simplify]: Simplify (- 0) into 0 16.052 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.053 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.055 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 16.057 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 16.058 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 PI) 0.5)) into 0 16.059 * [backup-simplify]: Simplify (* 1.0 0) into 0 16.059 * [backup-simplify]: Simplify 0 into 0 16.060 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.062 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.062 * [backup-simplify]: Simplify (- 1) into -1 16.062 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.064 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 16.068 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 16.082 * [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))) 16.099 * [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))) 16.109 * [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))) 16.114 * [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))) 16.115 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.117 * [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 16.117 * [backup-simplify]: Simplify (- 0) into 0 16.117 * [backup-simplify]: Simplify (+ 0 0) into 0 16.118 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 16.119 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 16.127 * [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))) 16.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.129 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.141 * [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))))) 16.164 * [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))))) 16.176 * [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))))) 16.177 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.180 * [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 16.181 * [backup-simplify]: Simplify (- 0) into 0 16.181 * [backup-simplify]: Simplify (+ 0 0) into 0 16.182 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 16.183 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 16.198 * [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))) 16.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.632 * [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))))))) 16.685 * [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)))))))) 16.723 * [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)))))))) 16.763 * [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))))))))))))) 16.764 * [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)))))) 16.764 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 16.764 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 16.764 * [taylor]: Taking taylor expansion of 1.0 in k 16.764 * [backup-simplify]: Simplify 1.0 into 1.0 16.764 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 16.764 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.764 * [taylor]: Taking taylor expansion of k in k 16.764 * [backup-simplify]: Simplify 0 into 0 16.764 * [backup-simplify]: Simplify 1 into 1 16.765 * [backup-simplify]: Simplify (sqrt 0) into 0 16.765 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.765 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 16.765 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 16.765 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 16.766 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.766 * [taylor]: Taking taylor expansion of 0.5 in k 16.766 * [backup-simplify]: Simplify 0.5 into 0.5 16.766 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.766 * [taylor]: Taking taylor expansion of 1.0 in k 16.766 * [backup-simplify]: Simplify 1.0 into 1.0 16.766 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.766 * [taylor]: Taking taylor expansion of k in k 16.766 * [backup-simplify]: Simplify 0 into 0 16.766 * [backup-simplify]: Simplify 1 into 1 16.766 * [backup-simplify]: Simplify (/ 1 1) into 1 16.766 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.766 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.766 * [taylor]: Taking taylor expansion of 2.0 in k 16.766 * [backup-simplify]: Simplify 2.0 into 2.0 16.766 * [taylor]: Taking taylor expansion of PI in k 16.766 * [backup-simplify]: Simplify PI into PI 16.766 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.767 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.767 * [backup-simplify]: Simplify (- 1) into -1 16.767 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.768 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.769 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 16.769 * [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))))) 16.769 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 16.769 * [taylor]: Taking taylor expansion of 1.0 in k 16.770 * [backup-simplify]: Simplify 1.0 into 1.0 16.770 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 16.770 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.770 * [taylor]: Taking taylor expansion of k in k 16.770 * [backup-simplify]: Simplify 0 into 0 16.770 * [backup-simplify]: Simplify 1 into 1 16.770 * [backup-simplify]: Simplify (sqrt 0) into 0 16.771 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.771 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 16.771 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 16.771 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 16.771 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.771 * [taylor]: Taking taylor expansion of 0.5 in k 16.771 * [backup-simplify]: Simplify 0.5 into 0.5 16.771 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.771 * [taylor]: Taking taylor expansion of 1.0 in k 16.771 * [backup-simplify]: Simplify 1.0 into 1.0 16.771 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.771 * [taylor]: Taking taylor expansion of k in k 16.771 * [backup-simplify]: Simplify 0 into 0 16.771 * [backup-simplify]: Simplify 1 into 1 16.771 * [backup-simplify]: Simplify (/ 1 1) into 1 16.771 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.771 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.771 * [taylor]: Taking taylor expansion of 2.0 in k 16.771 * [backup-simplify]: Simplify 2.0 into 2.0 16.771 * [taylor]: Taking taylor expansion of PI in k 16.771 * [backup-simplify]: Simplify PI into PI 16.772 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.772 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.772 * [backup-simplify]: Simplify (- 1) into -1 16.773 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.773 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.774 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 16.775 * [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))))) 16.776 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 16.776 * [backup-simplify]: Simplify (* 1.0 0) into 0 16.776 * [backup-simplify]: Simplify 0 into 0 16.777 * [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))))))) 16.778 * [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))))))) 16.779 * [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))))))) 16.781 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.782 * [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))))))) 16.784 * [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))))))) 16.785 * [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))))))) 16.788 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.790 * [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))))))) 16.794 * [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))))))) 16.795 * [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))))))) 16.800 * [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)))))))) 16.801 * [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)))) 16.801 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 16.801 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 16.801 * [taylor]: Taking taylor expansion of 1.0 in k 16.801 * [backup-simplify]: Simplify 1.0 into 1.0 16.801 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 16.801 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 16.801 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 16.801 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 16.801 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.801 * [taylor]: Taking taylor expansion of 0.5 in k 16.801 * [backup-simplify]: Simplify 0.5 into 0.5 16.801 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.801 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.801 * [taylor]: Taking taylor expansion of k in k 16.801 * [backup-simplify]: Simplify 0 into 0 16.801 * [backup-simplify]: Simplify 1 into 1 16.802 * [backup-simplify]: Simplify (/ 1 1) into 1 16.802 * [taylor]: Taking taylor expansion of 1.0 in k 16.802 * [backup-simplify]: Simplify 1.0 into 1.0 16.802 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.802 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.802 * [taylor]: Taking taylor expansion of 2.0 in k 16.802 * [backup-simplify]: Simplify 2.0 into 2.0 16.802 * [taylor]: Taking taylor expansion of PI in k 16.802 * [backup-simplify]: Simplify PI into PI 16.802 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.803 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.804 * [backup-simplify]: Simplify (+ 1 0) into 1 16.804 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.806 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 16.807 * [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)))) 16.807 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.807 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.807 * [taylor]: Taking taylor expansion of -1 in k 16.807 * [backup-simplify]: Simplify -1 into -1 16.807 * [taylor]: Taking taylor expansion of k in k 16.807 * [backup-simplify]: Simplify 0 into 0 16.807 * [backup-simplify]: Simplify 1 into 1 16.808 * [backup-simplify]: Simplify (/ -1 1) into -1 16.808 * [backup-simplify]: Simplify (sqrt 0) into 0 16.809 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.810 * [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))))) 16.810 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 16.810 * [taylor]: Taking taylor expansion of 1.0 in k 16.810 * [backup-simplify]: Simplify 1.0 into 1.0 16.811 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 16.811 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 16.811 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 16.811 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 16.811 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.811 * [taylor]: Taking taylor expansion of 0.5 in k 16.811 * [backup-simplify]: Simplify 0.5 into 0.5 16.811 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.811 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.811 * [taylor]: Taking taylor expansion of k in k 16.811 * [backup-simplify]: Simplify 0 into 0 16.811 * [backup-simplify]: Simplify 1 into 1 16.811 * [backup-simplify]: Simplify (/ 1 1) into 1 16.811 * [taylor]: Taking taylor expansion of 1.0 in k 16.811 * [backup-simplify]: Simplify 1.0 into 1.0 16.811 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.811 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.811 * [taylor]: Taking taylor expansion of 2.0 in k 16.811 * [backup-simplify]: Simplify 2.0 into 2.0 16.811 * [taylor]: Taking taylor expansion of PI in k 16.811 * [backup-simplify]: Simplify PI into PI 16.812 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.813 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.813 * [backup-simplify]: Simplify (+ 1 0) into 1 16.814 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.815 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 16.815 * [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)))) 16.815 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.815 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.815 * [taylor]: Taking taylor expansion of -1 in k 16.815 * [backup-simplify]: Simplify -1 into -1 16.816 * [taylor]: Taking taylor expansion of k in k 16.816 * [backup-simplify]: Simplify 0 into 0 16.816 * [backup-simplify]: Simplify 1 into 1 16.816 * [backup-simplify]: Simplify (/ -1 1) into -1 16.816 * [backup-simplify]: Simplify (sqrt 0) into 0 16.817 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.817 * [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))))) 16.818 * [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))))) 16.819 * [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))))) 16.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.821 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.823 * [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)))))) 16.824 * [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)))))) 16.825 * [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)))))) 16.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.828 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.830 * [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)))))) 16.832 * [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)))))) 16.833 * [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)))))) 16.836 * [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))))))))))) 16.836 * * * [progress]: simplifying candidates 16.842 * [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))) (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) (/ (- 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 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(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))) (- (+ (* 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 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 (* (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))))))))))) 16.848 * * [simplify]: Extracting # 0 : cost 0 16.848 * * [simplify]: Extracting # 1 : cost 0 16.849 * * [simplify]: Extracting # 2 : cost 0 16.850 * * [simplify]: Extracting # 3 : cost 0 16.850 * * [simplify]: Extracting # 4 : cost 0 16.851 * * [simplify]: Extracting # 5 : cost 0 16.852 * * [simplify]: Extracting # 6 : cost 0 16.853 * * [simplify]: Extracting # 7 : cost 0 16.854 * * [simplify]: Extracting # 8 : cost 0 16.855 * * [simplify]: Extracting # 9 : cost 0 16.856 * * [simplify]: Extracting # 10 : cost 0 16.857 * * [simplify]: Extracting # 11 : cost 0 16.858 * * [simplify]: Extracting # 12 : cost 0 16.859 * * [simplify]: Extracting # 13 : cost 0 16.860 * * [simplify]: Extracting # 14 : cost 0 16.861 * * [simplify]: Extracting # 15 : cost 0 16.862 * * [simplify]: Extracting # 16 : cost 0 16.863 * * [simplify]: Extracting # 17 : cost 0 16.864 * * [simplify]: Extracting # 18 : cost 0 16.865 * * [simplify]: Extracting # 19 : cost 0 16.866 * * [simplify]: Extracting # 20 : cost 0 16.867 * * [simplify]: Extracting # 21 : cost 0 16.868 * * [simplify]: iteration 0 : 333 enodes (cost 2626 ) 17.010 * * [simplify]: Extracting # 0 : cost 0 17.013 * * [simplify]: Extracting # 1 : cost 0 17.015 * * [simplify]: Extracting # 2 : cost 0 17.018 * * [simplify]: Extracting # 3 : cost 0 17.021 * * [simplify]: Extracting # 4 : cost 0 17.023 * * [simplify]: iteration 1 : 927 enodes (cost 2468 ) 17.657 * * [simplify]: Extracting # 0 : cost 0 17.661 * * [simplify]: Extracting # 1 : cost 0 17.666 * * [simplify]: Extracting # 2 : cost 0 17.670 * * [simplify]: Extracting # 3 : cost 0 17.678 * * [simplify]: Extracting # 4 : cost 0 17.683 * * [simplify]: iteration 2 : 3705 enodes (cost 2362 ) 19.000 * * [simplify]: Extracting # 0 : cost 0 19.012 * * [simplify]: Extracting # 1 : cost 0 19.024 * * [simplify]: Extracting # 2 : cost 0 19.036 * * [simplify]: Extracting # 3 : cost 0 19.045 * * [simplify]: iteration done: 5000 enodes (cost 2340 ) 19.046 * [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 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(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))) (- (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) k (- (* +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)))) (fma (- (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) +nan.0 (fma (* +nan.0 (pow k 2)) (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (fma +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))) (* (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)))))) (fma +nan.0 (- (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) (pow k 2))) (* +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 (- (/ (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)))) 19.048 * * * [progress]: adding candidates to table 20.314 * [progress]: [Phase 3 of 3] Extracting. 20.314 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 20.318 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 20.318 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 20.426 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 20.524 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 20.614 * * * [regime]: Found split indices: #