54.766 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.199 * * * [progress]: [2/2] Setting up program. 0.204 * [progress]: [Phase 2 of 3] Improving. 0.204 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.204 * * [simplify]: Extracting # 0 : cost 0 0.205 * * [simplify]: Extracting # 1 : cost 0 0.205 * * [simplify]: Extracting # 2 : cost 0 0.205 * * [simplify]: Extracting # 3 : cost 0 0.205 * * [simplify]: Extracting # 4 : cost 0 0.205 * * [simplify]: Extracting # 5 : cost 0 0.205 * * [simplify]: Extracting # 6 : cost 0 0.205 * * [simplify]: Extracting # 7 : cost 0 0.205 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.210 * * [simplify]: Extracting # 0 : cost 0 0.211 * * [simplify]: Extracting # 1 : cost 0 0.211 * * [simplify]: Extracting # 2 : cost 0 0.211 * * [simplify]: Extracting # 3 : cost 0 0.211 * * [simplify]: Extracting # 4 : cost 0 0.211 * * [simplify]: Extracting # 5 : cost 0 0.211 * * [simplify]: iteration 1 : 29 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 0.223 * * [simplify]: Extracting # 4 : cost 0 0.223 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.248 * * [simplify]: Extracting # 0 : cost 0 0.249 * * [simplify]: Extracting # 1 : cost 0 0.249 * * [simplify]: Extracting # 2 : cost 0 0.249 * * [simplify]: Extracting # 3 : cost 0 0.249 * * [simplify]: Extracting # 4 : cost 0 0.250 * * [simplify]: iteration 3 : 119 enodes (cost 16 ) 0.310 * * [simplify]: Extracting # 0 : cost 0 0.310 * * [simplify]: Extracting # 1 : cost 0 0.311 * * [simplify]: Extracting # 2 : cost 0 0.312 * * [simplify]: Extracting # 3 : cost 0 0.312 * * [simplify]: Extracting # 4 : cost 0 0.313 * * [simplify]: iteration 4 : 313 enodes (cost 16 ) 0.990 * * [simplify]: Extracting # 0 : cost 0 0.992 * * [simplify]: Extracting # 1 : cost 0 0.993 * * [simplify]: Extracting # 2 : cost 0 0.994 * * [simplify]: Extracting # 3 : cost 0 0.995 * * [simplify]: Extracting # 4 : cost 0 0.996 * * [simplify]: iteration 5 : 843 enodes (cost 16 ) 2.612 * * [simplify]: Extracting # 0 : cost 0 2.619 * * [simplify]: Extracting # 1 : cost 0 2.623 * * [simplify]: Extracting # 2 : cost 0 2.626 * * [simplify]: Extracting # 3 : cost 0 2.629 * * [simplify]: Extracting # 4 : cost 0 2.635 * * [simplify]: iteration 6 : 3221 enodes (cost 16 ) 4.431 * * [simplify]: Extracting # 0 : cost 0 4.437 * * [simplify]: Extracting # 1 : cost 0 4.443 * * [simplify]: Extracting # 2 : cost 0 4.448 * * [simplify]: Extracting # 3 : cost 0 4.453 * * [simplify]: Extracting # 4 : cost 0 4.457 * * [simplify]: iteration done: 5001 enodes (cost 16 ) 4.457 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 4.458 * * [progress]: iteration 1 / 4 4.458 * * * [progress]: picking best candidate 4.460 * * * * [pick]: Picked # 4.460 * * * [progress]: localizing error 4.482 * * * [progress]: generating rewritten candidates 4.482 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.522 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 4.559 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 4.573 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.651 * * * [progress]: generating series expansions 4.651 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.652 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 4.652 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.652 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.652 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.652 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.652 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.652 * [taylor]: Taking taylor expansion of 0.5 in k 4.652 * [backup-simplify]: Simplify 0.5 into 0.5 4.652 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.652 * [taylor]: Taking taylor expansion of 1.0 in k 4.652 * [backup-simplify]: Simplify 1.0 into 1.0 4.652 * [taylor]: Taking taylor expansion of k in k 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify 1 into 1 4.652 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.652 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.652 * [taylor]: Taking taylor expansion of 2.0 in k 4.652 * [backup-simplify]: Simplify 2.0 into 2.0 4.652 * [taylor]: Taking taylor expansion of (* n PI) in k 4.652 * [taylor]: Taking taylor expansion of n in k 4.652 * [backup-simplify]: Simplify n into n 4.652 * [taylor]: Taking taylor expansion of PI in k 4.652 * [backup-simplify]: Simplify PI into PI 4.652 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.652 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.652 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.653 * [backup-simplify]: Simplify (- 0) into 0 4.653 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.653 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.653 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.653 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.653 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.653 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.653 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.653 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.653 * [taylor]: Taking taylor expansion of 0.5 in n 4.653 * [backup-simplify]: Simplify 0.5 into 0.5 4.653 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.653 * [taylor]: Taking taylor expansion of 1.0 in n 4.654 * [backup-simplify]: Simplify 1.0 into 1.0 4.654 * [taylor]: Taking taylor expansion of k in n 4.654 * [backup-simplify]: Simplify k into k 4.654 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.654 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.654 * [taylor]: Taking taylor expansion of 2.0 in n 4.654 * [backup-simplify]: Simplify 2.0 into 2.0 4.654 * [taylor]: Taking taylor expansion of (* n PI) in n 4.654 * [taylor]: Taking taylor expansion of n in n 4.654 * [backup-simplify]: Simplify 0 into 0 4.654 * [backup-simplify]: Simplify 1 into 1 4.654 * [taylor]: Taking taylor expansion of PI in n 4.654 * [backup-simplify]: Simplify PI into PI 4.654 * [backup-simplify]: Simplify (* 0 PI) into 0 4.654 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.655 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.656 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.657 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.657 * [backup-simplify]: Simplify (- k) into (- k) 4.657 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.657 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.658 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.659 * [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)))) 4.660 * [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))))) 4.660 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.660 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.660 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.660 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.660 * [taylor]: Taking taylor expansion of 0.5 in n 4.660 * [backup-simplify]: Simplify 0.5 into 0.5 4.660 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.660 * [taylor]: Taking taylor expansion of 1.0 in n 4.660 * [backup-simplify]: Simplify 1.0 into 1.0 4.660 * [taylor]: Taking taylor expansion of k in n 4.660 * [backup-simplify]: Simplify k into k 4.660 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.660 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.660 * [taylor]: Taking taylor expansion of 2.0 in n 4.660 * [backup-simplify]: Simplify 2.0 into 2.0 4.660 * [taylor]: Taking taylor expansion of (* n PI) in n 4.660 * [taylor]: Taking taylor expansion of n in n 4.660 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify 1 into 1 4.660 * [taylor]: Taking taylor expansion of PI in n 4.660 * [backup-simplify]: Simplify PI into PI 4.660 * [backup-simplify]: Simplify (* 0 PI) into 0 4.660 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.661 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.663 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.664 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.664 * [backup-simplify]: Simplify (- k) into (- k) 4.664 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.664 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.665 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.667 * [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)))) 4.668 * [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))))) 4.668 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.668 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.668 * [taylor]: Taking taylor expansion of 0.5 in k 4.668 * [backup-simplify]: Simplify 0.5 into 0.5 4.668 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.668 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.668 * [taylor]: Taking taylor expansion of 1.0 in k 4.668 * [backup-simplify]: Simplify 1.0 into 1.0 4.668 * [taylor]: Taking taylor expansion of k in k 4.668 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify 1 into 1 4.668 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.668 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.668 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.668 * [taylor]: Taking taylor expansion of 2.0 in k 4.669 * [backup-simplify]: Simplify 2.0 into 2.0 4.669 * [taylor]: Taking taylor expansion of PI in k 4.669 * [backup-simplify]: Simplify PI into PI 4.669 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.670 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.670 * [taylor]: Taking taylor expansion of (log n) in k 4.670 * [taylor]: Taking taylor expansion of n in k 4.671 * [backup-simplify]: Simplify n into n 4.671 * [backup-simplify]: Simplify (log n) into (log n) 4.671 * [backup-simplify]: Simplify (- 0) into 0 4.671 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.673 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 4.674 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 4.675 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 4.676 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.677 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.678 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.679 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.682 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.682 * [backup-simplify]: Simplify (- 0) into 0 4.682 * [backup-simplify]: Simplify (+ 0 0) into 0 4.683 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 4.685 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.686 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 4.688 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.688 * [taylor]: Taking taylor expansion of 0 in k 4.688 * [backup-simplify]: Simplify 0 into 0 4.688 * [backup-simplify]: Simplify 0 into 0 4.689 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.691 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.692 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.692 * [backup-simplify]: Simplify (+ 0 0) into 0 4.693 * [backup-simplify]: Simplify (- 1) into -1 4.693 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.695 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 4.697 * [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)))) 4.699 * [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)))))) 4.701 * [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)))))) 4.702 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.703 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.705 * [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 4.705 * [backup-simplify]: Simplify (- 0) into 0 4.706 * [backup-simplify]: Simplify (+ 0 0) into 0 4.706 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 4.707 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.712 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.714 * [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 4.714 * [taylor]: Taking taylor expansion of 0 in k 4.714 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.716 * [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 4.718 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.718 * [backup-simplify]: Simplify (+ 0 0) into 0 4.718 * [backup-simplify]: Simplify (- 0) into 0 4.718 * [backup-simplify]: Simplify (+ 0 0) into 0 4.719 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.721 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 4.724 * [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)))))) 4.727 * [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)))))) 4.736 * [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)))))) 4.737 * [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)))) 4.737 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.737 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.737 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.737 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.737 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.737 * [taylor]: Taking taylor expansion of 0.5 in k 4.737 * [backup-simplify]: Simplify 0.5 into 0.5 4.737 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.737 * [taylor]: Taking taylor expansion of 1.0 in k 4.737 * [backup-simplify]: Simplify 1.0 into 1.0 4.737 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.737 * [taylor]: Taking taylor expansion of k in k 4.738 * [backup-simplify]: Simplify 0 into 0 4.738 * [backup-simplify]: Simplify 1 into 1 4.738 * [backup-simplify]: Simplify (/ 1 1) into 1 4.738 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.738 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.738 * [taylor]: Taking taylor expansion of 2.0 in k 4.738 * [backup-simplify]: Simplify 2.0 into 2.0 4.738 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.738 * [taylor]: Taking taylor expansion of PI in k 4.738 * [backup-simplify]: Simplify PI into PI 4.738 * [taylor]: Taking taylor expansion of n in k 4.738 * [backup-simplify]: Simplify n into n 4.738 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.738 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.739 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.739 * [backup-simplify]: Simplify (- 1) into -1 4.739 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.740 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.740 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.740 * [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))))) 4.740 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.740 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.740 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.740 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.740 * [taylor]: Taking taylor expansion of 0.5 in n 4.741 * [backup-simplify]: Simplify 0.5 into 0.5 4.741 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.741 * [taylor]: Taking taylor expansion of 1.0 in n 4.741 * [backup-simplify]: Simplify 1.0 into 1.0 4.741 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.741 * [taylor]: Taking taylor expansion of k in n 4.741 * [backup-simplify]: Simplify k into k 4.741 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.741 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.741 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.741 * [taylor]: Taking taylor expansion of 2.0 in n 4.741 * [backup-simplify]: Simplify 2.0 into 2.0 4.741 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.741 * [taylor]: Taking taylor expansion of PI in n 4.741 * [backup-simplify]: Simplify PI into PI 4.741 * [taylor]: Taking taylor expansion of n in n 4.741 * [backup-simplify]: Simplify 0 into 0 4.741 * [backup-simplify]: Simplify 1 into 1 4.742 * [backup-simplify]: Simplify (/ PI 1) into PI 4.742 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.744 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.744 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.744 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.744 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.745 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.747 * [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)))) 4.748 * [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))))) 4.748 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.748 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.748 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.748 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.748 * [taylor]: Taking taylor expansion of 0.5 in n 4.748 * [backup-simplify]: Simplify 0.5 into 0.5 4.748 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.748 * [taylor]: Taking taylor expansion of 1.0 in n 4.748 * [backup-simplify]: Simplify 1.0 into 1.0 4.748 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.748 * [taylor]: Taking taylor expansion of k in n 4.748 * [backup-simplify]: Simplify k into k 4.748 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.748 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.748 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.748 * [taylor]: Taking taylor expansion of 2.0 in n 4.749 * [backup-simplify]: Simplify 2.0 into 2.0 4.749 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.749 * [taylor]: Taking taylor expansion of PI in n 4.749 * [backup-simplify]: Simplify PI into PI 4.749 * [taylor]: Taking taylor expansion of n in n 4.749 * [backup-simplify]: Simplify 0 into 0 4.749 * [backup-simplify]: Simplify 1 into 1 4.749 * [backup-simplify]: Simplify (/ PI 1) into PI 4.750 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.751 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.751 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.751 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.751 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.753 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.754 * [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)))) 4.755 * [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))))) 4.755 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.755 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.755 * [taylor]: Taking taylor expansion of 0.5 in k 4.755 * [backup-simplify]: Simplify 0.5 into 0.5 4.755 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.756 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.756 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.756 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.756 * [taylor]: Taking taylor expansion of 2.0 in k 4.756 * [backup-simplify]: Simplify 2.0 into 2.0 4.756 * [taylor]: Taking taylor expansion of PI in k 4.756 * [backup-simplify]: Simplify PI into PI 4.756 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.757 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.757 * [taylor]: Taking taylor expansion of (log n) in k 4.757 * [taylor]: Taking taylor expansion of n in k 4.757 * [backup-simplify]: Simplify n into n 4.757 * [backup-simplify]: Simplify (log n) into (log n) 4.757 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.758 * [taylor]: Taking taylor expansion of 1.0 in k 4.758 * [backup-simplify]: Simplify 1.0 into 1.0 4.758 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.758 * [taylor]: Taking taylor expansion of k in k 4.758 * [backup-simplify]: Simplify 0 into 0 4.758 * [backup-simplify]: Simplify 1 into 1 4.758 * [backup-simplify]: Simplify (/ 1 1) into 1 4.758 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.759 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 4.760 * [backup-simplify]: Simplify (- 1) into -1 4.760 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.761 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 4.762 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 4.764 * [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))))) 4.765 * [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))))) 4.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.767 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.769 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.769 * [backup-simplify]: Simplify (- 0) into 0 4.770 * [backup-simplify]: Simplify (+ 0 0) into 0 4.770 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.772 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.773 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 4.775 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.775 * [taylor]: Taking taylor expansion of 0 in k 4.775 * [backup-simplify]: Simplify 0 into 0 4.775 * [backup-simplify]: Simplify 0 into 0 4.775 * [backup-simplify]: Simplify 0 into 0 4.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.777 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.781 * [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 4.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.782 * [backup-simplify]: Simplify (- 0) into 0 4.782 * [backup-simplify]: Simplify (+ 0 0) into 0 4.783 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 4.784 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.786 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 4.787 * [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 4.787 * [taylor]: Taking taylor expansion of 0 in k 4.788 * [backup-simplify]: Simplify 0 into 0 4.788 * [backup-simplify]: Simplify 0 into 0 4.788 * [backup-simplify]: Simplify 0 into 0 4.788 * [backup-simplify]: Simplify 0 into 0 4.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.789 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.792 * [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 4.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.793 * [backup-simplify]: Simplify (- 0) into 0 4.793 * [backup-simplify]: Simplify (+ 0 0) into 0 4.794 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 4.795 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.796 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 4.798 * [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 4.798 * [taylor]: Taking taylor expansion of 0 in k 4.798 * [backup-simplify]: Simplify 0 into 0 4.798 * [backup-simplify]: Simplify 0 into 0 4.799 * [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)))) 4.799 * [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))) 4.799 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.799 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.799 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.799 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.799 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.799 * [taylor]: Taking taylor expansion of 0.5 in k 4.799 * [backup-simplify]: Simplify 0.5 into 0.5 4.799 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.799 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.799 * [taylor]: Taking taylor expansion of k in k 4.800 * [backup-simplify]: Simplify 0 into 0 4.800 * [backup-simplify]: Simplify 1 into 1 4.800 * [backup-simplify]: Simplify (/ 1 1) into 1 4.800 * [taylor]: Taking taylor expansion of 1.0 in k 4.800 * [backup-simplify]: Simplify 1.0 into 1.0 4.800 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.800 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.800 * [taylor]: Taking taylor expansion of -2.0 in k 4.800 * [backup-simplify]: Simplify -2.0 into -2.0 4.800 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.800 * [taylor]: Taking taylor expansion of PI in k 4.800 * [backup-simplify]: Simplify PI into PI 4.800 * [taylor]: Taking taylor expansion of n in k 4.800 * [backup-simplify]: Simplify n into n 4.800 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.800 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.800 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.800 * [backup-simplify]: Simplify (+ 1 0) into 1 4.801 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.801 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.801 * [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)))))) 4.801 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.801 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.801 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.801 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.801 * [taylor]: Taking taylor expansion of 0.5 in n 4.801 * [backup-simplify]: Simplify 0.5 into 0.5 4.801 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.801 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.801 * [taylor]: Taking taylor expansion of k in n 4.801 * [backup-simplify]: Simplify k into k 4.801 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.801 * [taylor]: Taking taylor expansion of 1.0 in n 4.801 * [backup-simplify]: Simplify 1.0 into 1.0 4.801 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.801 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.801 * [taylor]: Taking taylor expansion of -2.0 in n 4.801 * [backup-simplify]: Simplify -2.0 into -2.0 4.801 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.801 * [taylor]: Taking taylor expansion of PI in n 4.801 * [backup-simplify]: Simplify PI into PI 4.801 * [taylor]: Taking taylor expansion of n in n 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [backup-simplify]: Simplify 1 into 1 4.802 * [backup-simplify]: Simplify (/ PI 1) into PI 4.802 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.803 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.803 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.803 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.804 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.804 * [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)))) 4.805 * [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))))) 4.805 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.805 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.805 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.805 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.805 * [taylor]: Taking taylor expansion of 0.5 in n 4.805 * [backup-simplify]: Simplify 0.5 into 0.5 4.805 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.805 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.805 * [taylor]: Taking taylor expansion of k in n 4.805 * [backup-simplify]: Simplify k into k 4.805 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.806 * [taylor]: Taking taylor expansion of 1.0 in n 4.806 * [backup-simplify]: Simplify 1.0 into 1.0 4.806 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.806 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.806 * [taylor]: Taking taylor expansion of -2.0 in n 4.806 * [backup-simplify]: Simplify -2.0 into -2.0 4.806 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.806 * [taylor]: Taking taylor expansion of PI in n 4.806 * [backup-simplify]: Simplify PI into PI 4.806 * [taylor]: Taking taylor expansion of n in n 4.806 * [backup-simplify]: Simplify 0 into 0 4.806 * [backup-simplify]: Simplify 1 into 1 4.806 * [backup-simplify]: Simplify (/ PI 1) into PI 4.806 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.807 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.807 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.807 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.808 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.809 * [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)))) 4.810 * [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))))) 4.810 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.810 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.810 * [taylor]: Taking taylor expansion of 0.5 in k 4.810 * [backup-simplify]: Simplify 0.5 into 0.5 4.810 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.810 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.810 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.810 * [taylor]: Taking taylor expansion of k in k 4.810 * [backup-simplify]: Simplify 0 into 0 4.810 * [backup-simplify]: Simplify 1 into 1 4.810 * [backup-simplify]: Simplify (/ 1 1) into 1 4.810 * [taylor]: Taking taylor expansion of 1.0 in k 4.810 * [backup-simplify]: Simplify 1.0 into 1.0 4.810 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.810 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.810 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.811 * [taylor]: Taking taylor expansion of -2.0 in k 4.811 * [backup-simplify]: Simplify -2.0 into -2.0 4.811 * [taylor]: Taking taylor expansion of PI in k 4.811 * [backup-simplify]: Simplify PI into PI 4.811 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.812 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.812 * [taylor]: Taking taylor expansion of (log n) in k 4.812 * [taylor]: Taking taylor expansion of n in k 4.812 * [backup-simplify]: Simplify n into n 4.812 * [backup-simplify]: Simplify (log n) into (log n) 4.812 * [backup-simplify]: Simplify (+ 1 0) into 1 4.812 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.813 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 4.814 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 4.814 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 4.815 * [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))))) 4.816 * [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))))) 4.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.817 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.818 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.818 * [backup-simplify]: Simplify (+ 0 0) into 0 4.818 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.819 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.820 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.821 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.821 * [taylor]: Taking taylor expansion of 0 in k 4.821 * [backup-simplify]: Simplify 0 into 0 4.821 * [backup-simplify]: Simplify 0 into 0 4.821 * [backup-simplify]: Simplify 0 into 0 4.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.823 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.827 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 4.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.828 * [backup-simplify]: Simplify (+ 0 0) into 0 4.833 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 4.835 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.837 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 4.839 * [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 4.839 * [taylor]: Taking taylor expansion of 0 in k 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify 0 into 0 4.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.842 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.848 * [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 4.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.849 * [backup-simplify]: Simplify (+ 0 0) into 0 4.850 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 4.851 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.853 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 4.856 * [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 4.856 * [taylor]: Taking taylor expansion of 0 in k 4.856 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify 0 into 0 4.858 * [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)))))) 4.858 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 4.858 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.858 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.858 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.859 * [taylor]: Taking taylor expansion of 2.0 in n 4.859 * [backup-simplify]: Simplify 2.0 into 2.0 4.859 * [taylor]: Taking taylor expansion of (* n PI) in n 4.859 * [taylor]: Taking taylor expansion of n in n 4.859 * [backup-simplify]: Simplify 0 into 0 4.859 * [backup-simplify]: Simplify 1 into 1 4.859 * [taylor]: Taking taylor expansion of PI in n 4.859 * [backup-simplify]: Simplify PI into PI 4.859 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.859 * [taylor]: Taking taylor expansion of 2.0 in n 4.859 * [backup-simplify]: Simplify 2.0 into 2.0 4.859 * [taylor]: Taking taylor expansion of (* n PI) in n 4.859 * [taylor]: Taking taylor expansion of n in n 4.859 * [backup-simplify]: Simplify 0 into 0 4.859 * [backup-simplify]: Simplify 1 into 1 4.859 * [taylor]: Taking taylor expansion of PI in n 4.859 * [backup-simplify]: Simplify PI into PI 4.859 * [backup-simplify]: Simplify (* 0 PI) into 0 4.860 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.860 * [backup-simplify]: Simplify 0 into 0 4.861 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.863 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.864 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.865 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.866 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.866 * [backup-simplify]: Simplify 0 into 0 4.866 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.867 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.867 * [backup-simplify]: Simplify 0 into 0 4.868 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.869 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 4.869 * [backup-simplify]: Simplify 0 into 0 4.870 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.870 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 4.870 * [backup-simplify]: Simplify 0 into 0 4.871 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.872 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 4.872 * [backup-simplify]: Simplify 0 into 0 4.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 4.874 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 4.874 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.875 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 4.875 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.875 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.875 * [taylor]: Taking taylor expansion of 2.0 in n 4.875 * [backup-simplify]: Simplify 2.0 into 2.0 4.875 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.875 * [taylor]: Taking taylor expansion of PI in n 4.875 * [backup-simplify]: Simplify PI into PI 4.875 * [taylor]: Taking taylor expansion of n in n 4.875 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify 1 into 1 4.876 * [backup-simplify]: Simplify (/ PI 1) into PI 4.876 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.876 * [taylor]: Taking taylor expansion of 2.0 in n 4.876 * [backup-simplify]: Simplify 2.0 into 2.0 4.876 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.876 * [taylor]: Taking taylor expansion of PI in n 4.876 * [backup-simplify]: Simplify PI into PI 4.876 * [taylor]: Taking taylor expansion of n in n 4.876 * [backup-simplify]: Simplify 0 into 0 4.876 * [backup-simplify]: Simplify 1 into 1 4.876 * [backup-simplify]: Simplify (/ PI 1) into PI 4.877 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.877 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.878 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.878 * [backup-simplify]: Simplify 0 into 0 4.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.879 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.879 * [backup-simplify]: Simplify 0 into 0 4.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.880 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.880 * [backup-simplify]: Simplify 0 into 0 4.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.882 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.882 * [backup-simplify]: Simplify 0 into 0 4.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.883 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.883 * [backup-simplify]: Simplify 0 into 0 4.884 * [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 4.885 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.885 * [backup-simplify]: Simplify 0 into 0 4.885 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 4.886 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 4.886 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.886 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.886 * [taylor]: Taking taylor expansion of -2.0 in n 4.886 * [backup-simplify]: Simplify -2.0 into -2.0 4.886 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.886 * [taylor]: Taking taylor expansion of PI in n 4.886 * [backup-simplify]: Simplify PI into PI 4.886 * [taylor]: Taking taylor expansion of n in n 4.886 * [backup-simplify]: Simplify 0 into 0 4.886 * [backup-simplify]: Simplify 1 into 1 4.886 * [backup-simplify]: Simplify (/ PI 1) into PI 4.886 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.886 * [taylor]: Taking taylor expansion of -2.0 in n 4.886 * [backup-simplify]: Simplify -2.0 into -2.0 4.886 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.886 * [taylor]: Taking taylor expansion of PI in n 4.886 * [backup-simplify]: Simplify PI into PI 4.886 * [taylor]: Taking taylor expansion of n in n 4.886 * [backup-simplify]: Simplify 0 into 0 4.886 * [backup-simplify]: Simplify 1 into 1 4.887 * [backup-simplify]: Simplify (/ PI 1) into PI 4.887 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.887 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.888 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.888 * [backup-simplify]: Simplify 0 into 0 4.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.889 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.889 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.891 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.891 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.892 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.892 * [backup-simplify]: Simplify 0 into 0 4.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.894 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.894 * [backup-simplify]: Simplify 0 into 0 4.895 * [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 4.897 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.897 * [backup-simplify]: Simplify 0 into 0 4.897 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 4.897 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.898 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 4.898 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.898 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.898 * [taylor]: Taking taylor expansion of 1.0 in k 4.898 * [backup-simplify]: Simplify 1.0 into 1.0 4.898 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.898 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.898 * [taylor]: Taking taylor expansion of k in k 4.898 * [backup-simplify]: Simplify 0 into 0 4.898 * [backup-simplify]: Simplify 1 into 1 4.898 * [backup-simplify]: Simplify (/ 1 1) into 1 4.899 * [backup-simplify]: Simplify (sqrt 0) into 0 4.900 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.900 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.900 * [taylor]: Taking taylor expansion of 1.0 in k 4.900 * [backup-simplify]: Simplify 1.0 into 1.0 4.900 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.900 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.900 * [taylor]: Taking taylor expansion of k in k 4.900 * [backup-simplify]: Simplify 0 into 0 4.900 * [backup-simplify]: Simplify 1 into 1 4.901 * [backup-simplify]: Simplify (/ 1 1) into 1 4.901 * [backup-simplify]: Simplify (sqrt 0) into 0 4.903 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.903 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.903 * [backup-simplify]: Simplify 0 into 0 4.905 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.905 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.909 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.911 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.911 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.916 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.918 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.918 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.920 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 4.920 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 4.920 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.920 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.920 * [taylor]: Taking taylor expansion of 1.0 in k 4.920 * [backup-simplify]: Simplify 1.0 into 1.0 4.920 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.920 * [taylor]: Taking taylor expansion of k in k 4.920 * [backup-simplify]: Simplify 0 into 0 4.920 * [backup-simplify]: Simplify 1 into 1 4.920 * [backup-simplify]: Simplify (sqrt 0) into 0 4.922 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.922 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.922 * [taylor]: Taking taylor expansion of 1.0 in k 4.922 * [backup-simplify]: Simplify 1.0 into 1.0 4.922 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.922 * [taylor]: Taking taylor expansion of k in k 4.922 * [backup-simplify]: Simplify 0 into 0 4.922 * [backup-simplify]: Simplify 1 into 1 4.922 * [backup-simplify]: Simplify (sqrt 0) into 0 4.924 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.924 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.924 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.926 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.929 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.931 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.931 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.933 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.934 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.935 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.936 * [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)))))))) 4.936 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 4.936 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.936 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.936 * [taylor]: Taking taylor expansion of 1.0 in k 4.936 * [backup-simplify]: Simplify 1.0 into 1.0 4.936 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.936 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.936 * [taylor]: Taking taylor expansion of -1 in k 4.936 * [backup-simplify]: Simplify -1 into -1 4.936 * [taylor]: Taking taylor expansion of k in k 4.936 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify 1 into 1 4.936 * [backup-simplify]: Simplify (/ -1 1) into -1 4.936 * [backup-simplify]: Simplify (sqrt 0) into 0 4.937 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.937 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.937 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.937 * [taylor]: Taking taylor expansion of 1.0 in k 4.938 * [backup-simplify]: Simplify 1.0 into 1.0 4.938 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.938 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.938 * [taylor]: Taking taylor expansion of -1 in k 4.938 * [backup-simplify]: Simplify -1 into -1 4.938 * [taylor]: Taking taylor expansion of k in k 4.938 * [backup-simplify]: Simplify 0 into 0 4.938 * [backup-simplify]: Simplify 1 into 1 4.938 * [backup-simplify]: Simplify (/ -1 1) into -1 4.938 * [backup-simplify]: Simplify (sqrt 0) into 0 4.939 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.939 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.939 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.941 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.943 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 4.943 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.946 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.952 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 4.952 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.953 * [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))))) 4.953 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.954 * [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))))) 4.954 * [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 4.954 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 4.954 * [taylor]: Taking taylor expansion of 1.0 in n 4.954 * [backup-simplify]: Simplify 1.0 into 1.0 4.954 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 4.954 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.954 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.954 * [taylor]: Taking taylor expansion of k in n 4.954 * [backup-simplify]: Simplify k into k 4.954 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.954 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 4.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 4.954 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.954 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.954 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.954 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.955 * [taylor]: Taking taylor expansion of 0.5 in n 4.955 * [backup-simplify]: Simplify 0.5 into 0.5 4.955 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.955 * [taylor]: Taking taylor expansion of 1.0 in n 4.955 * [backup-simplify]: Simplify 1.0 into 1.0 4.955 * [taylor]: Taking taylor expansion of k in n 4.955 * [backup-simplify]: Simplify k into k 4.955 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.955 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.955 * [taylor]: Taking taylor expansion of 2.0 in n 4.955 * [backup-simplify]: Simplify 2.0 into 2.0 4.955 * [taylor]: Taking taylor expansion of (* n PI) in n 4.955 * [taylor]: Taking taylor expansion of n in n 4.955 * [backup-simplify]: Simplify 0 into 0 4.955 * [backup-simplify]: Simplify 1 into 1 4.955 * [taylor]: Taking taylor expansion of PI in n 4.955 * [backup-simplify]: Simplify PI into PI 4.955 * [backup-simplify]: Simplify (* 0 PI) into 0 4.955 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.956 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.957 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.958 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.958 * [backup-simplify]: Simplify (- k) into (- k) 4.958 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.958 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.959 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.960 * [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)))) 4.960 * [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))))) 4.960 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.960 * [taylor]: Taking taylor expansion of 1.0 in k 4.960 * [backup-simplify]: Simplify 1.0 into 1.0 4.960 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.960 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.960 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.960 * [taylor]: Taking taylor expansion of k in k 4.960 * [backup-simplify]: Simplify 0 into 0 4.960 * [backup-simplify]: Simplify 1 into 1 4.961 * [backup-simplify]: Simplify (/ 1 1) into 1 4.961 * [backup-simplify]: Simplify (sqrt 0) into 0 4.962 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.962 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.962 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.962 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.962 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.962 * [taylor]: Taking taylor expansion of 0.5 in k 4.962 * [backup-simplify]: Simplify 0.5 into 0.5 4.962 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.962 * [taylor]: Taking taylor expansion of 1.0 in k 4.962 * [backup-simplify]: Simplify 1.0 into 1.0 4.962 * [taylor]: Taking taylor expansion of k in k 4.962 * [backup-simplify]: Simplify 0 into 0 4.962 * [backup-simplify]: Simplify 1 into 1 4.962 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.962 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.962 * [taylor]: Taking taylor expansion of 2.0 in k 4.962 * [backup-simplify]: Simplify 2.0 into 2.0 4.962 * [taylor]: Taking taylor expansion of (* n PI) in k 4.962 * [taylor]: Taking taylor expansion of n in k 4.962 * [backup-simplify]: Simplify n into n 4.962 * [taylor]: Taking taylor expansion of PI in k 4.962 * [backup-simplify]: Simplify PI into PI 4.962 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.962 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.962 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.963 * [backup-simplify]: Simplify (- 0) into 0 4.963 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.963 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.963 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.963 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.963 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.963 * [taylor]: Taking taylor expansion of 1.0 in k 4.963 * [backup-simplify]: Simplify 1.0 into 1.0 4.963 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.963 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.963 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.963 * [taylor]: Taking taylor expansion of k in k 4.963 * [backup-simplify]: Simplify 0 into 0 4.963 * [backup-simplify]: Simplify 1 into 1 4.964 * [backup-simplify]: Simplify (/ 1 1) into 1 4.964 * [backup-simplify]: Simplify (sqrt 0) into 0 4.965 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.965 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.965 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.965 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.965 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.965 * [taylor]: Taking taylor expansion of 0.5 in k 4.965 * [backup-simplify]: Simplify 0.5 into 0.5 4.965 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.965 * [taylor]: Taking taylor expansion of 1.0 in k 4.965 * [backup-simplify]: Simplify 1.0 into 1.0 4.965 * [taylor]: Taking taylor expansion of k in k 4.965 * [backup-simplify]: Simplify 0 into 0 4.965 * [backup-simplify]: Simplify 1 into 1 4.965 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.965 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.965 * [taylor]: Taking taylor expansion of 2.0 in k 4.965 * [backup-simplify]: Simplify 2.0 into 2.0 4.965 * [taylor]: Taking taylor expansion of (* n PI) in k 4.965 * [taylor]: Taking taylor expansion of n in k 4.965 * [backup-simplify]: Simplify n into n 4.965 * [taylor]: Taking taylor expansion of PI in k 4.965 * [backup-simplify]: Simplify PI into PI 4.965 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.965 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.965 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.965 * [backup-simplify]: Simplify (- 0) into 0 4.966 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.966 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.966 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.966 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.967 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 4.967 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.967 * [taylor]: Taking taylor expansion of 0 in n 4.967 * [backup-simplify]: Simplify 0 into 0 4.967 * [backup-simplify]: Simplify 0 into 0 4.968 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 4.968 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 4.969 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 4.969 * [backup-simplify]: Simplify (- 1) into -1 4.970 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.971 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.972 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 4.973 * [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))) 4.975 * [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))) 4.976 * [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))) 4.977 * [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 4.977 * [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 4.977 * [taylor]: Taking taylor expansion of +nan.0 in n 4.977 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.977 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.977 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.977 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.977 * [taylor]: Taking taylor expansion of 0.5 in n 4.977 * [backup-simplify]: Simplify 0.5 into 0.5 4.977 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.977 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.977 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.977 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.977 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.977 * [taylor]: Taking taylor expansion of 1.0 in n 4.977 * [backup-simplify]: Simplify 1.0 into 1.0 4.977 * [taylor]: Taking taylor expansion of (log PI) in n 4.977 * [taylor]: Taking taylor expansion of PI in n 4.977 * [backup-simplify]: Simplify PI into PI 4.978 * [backup-simplify]: Simplify (log PI) into (log PI) 4.979 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.980 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.980 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.980 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.980 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.980 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.980 * [taylor]: Taking taylor expansion of 1.0 in n 4.980 * [backup-simplify]: Simplify 1.0 into 1.0 4.980 * [taylor]: Taking taylor expansion of (log n) in n 4.980 * [taylor]: Taking taylor expansion of n in n 4.980 * [backup-simplify]: Simplify 0 into 0 4.981 * [backup-simplify]: Simplify 1 into 1 4.981 * [backup-simplify]: Simplify (log 1) into 0 4.981 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.981 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.982 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.982 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.982 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.982 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.982 * [taylor]: Taking taylor expansion of 1.0 in n 4.982 * [backup-simplify]: Simplify 1.0 into 1.0 4.982 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.982 * [taylor]: Taking taylor expansion of 2.0 in n 4.982 * [backup-simplify]: Simplify 2.0 into 2.0 4.982 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.983 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.984 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.984 * [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) 4.985 * [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) 4.986 * [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)) 4.986 * [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))) 4.987 * [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) 4.988 * [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)) 4.989 * [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))) 4.990 * [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))) 4.990 * [backup-simplify]: Simplify 0 into 0 4.990 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 4.991 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 4.992 * [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 4.992 * [backup-simplify]: Simplify (- 0) into 0 4.992 * [backup-simplify]: Simplify (+ 0 0) into 0 4.993 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.994 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 4.994 * [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))) 4.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.996 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.999 * [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)))))))) 5.002 * [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)))))))) 5.002 * [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 5.002 * [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 5.002 * [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 5.002 * [taylor]: Taking taylor expansion of +nan.0 in n 5.002 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.002 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.002 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.002 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.002 * [taylor]: Taking taylor expansion of 0.5 in n 5.002 * [backup-simplify]: Simplify 0.5 into 0.5 5.002 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.002 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.002 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.002 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.002 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.002 * [taylor]: Taking taylor expansion of 1.0 in n 5.002 * [backup-simplify]: Simplify 1.0 into 1.0 5.002 * [taylor]: Taking taylor expansion of (log PI) in n 5.002 * [taylor]: Taking taylor expansion of PI in n 5.002 * [backup-simplify]: Simplify PI into PI 5.002 * [backup-simplify]: Simplify (log PI) into (log PI) 5.003 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.004 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.004 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.004 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.004 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.004 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.004 * [taylor]: Taking taylor expansion of 1.0 in n 5.004 * [backup-simplify]: Simplify 1.0 into 1.0 5.004 * [taylor]: Taking taylor expansion of (log n) in n 5.004 * [taylor]: Taking taylor expansion of n in n 5.004 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify 1 into 1 5.005 * [backup-simplify]: Simplify (log 1) into 0 5.005 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.005 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.005 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.005 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.005 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.005 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.005 * [taylor]: Taking taylor expansion of 1.0 in n 5.005 * [backup-simplify]: Simplify 1.0 into 1.0 5.005 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.005 * [taylor]: Taking taylor expansion of 2.0 in n 5.005 * [backup-simplify]: Simplify 2.0 into 2.0 5.005 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.006 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.007 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.007 * [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) 5.008 * [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) 5.009 * [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)) 5.010 * [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))) 5.012 * [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) 5.012 * [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 5.012 * [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 5.012 * [taylor]: Taking taylor expansion of +nan.0 in n 5.012 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.012 * [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 5.012 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 5.012 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 5.012 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 5.012 * [taylor]: Taking taylor expansion of 0.5 in n 5.012 * [backup-simplify]: Simplify 0.5 into 0.5 5.012 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 5.012 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 5.012 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.012 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.012 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.012 * [taylor]: Taking taylor expansion of 1.0 in n 5.012 * [backup-simplify]: Simplify 1.0 into 1.0 5.012 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.012 * [taylor]: Taking taylor expansion of 2.0 in n 5.012 * [backup-simplify]: Simplify 2.0 into 2.0 5.013 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.014 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.015 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.015 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 5.015 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.015 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.015 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.016 * [taylor]: Taking taylor expansion of 1.0 in n 5.016 * [backup-simplify]: Simplify 1.0 into 1.0 5.016 * [taylor]: Taking taylor expansion of (log PI) in n 5.016 * [taylor]: Taking taylor expansion of PI in n 5.016 * [backup-simplify]: Simplify PI into PI 5.016 * [backup-simplify]: Simplify (log PI) into (log PI) 5.017 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.019 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.019 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.019 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.019 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.019 * [taylor]: Taking taylor expansion of 1.0 in n 5.019 * [backup-simplify]: Simplify 1.0 into 1.0 5.019 * [taylor]: Taking taylor expansion of (log n) in n 5.019 * [taylor]: Taking taylor expansion of n in n 5.019 * [backup-simplify]: Simplify 0 into 0 5.019 * [backup-simplify]: Simplify 1 into 1 5.019 * [backup-simplify]: Simplify (log 1) into 0 5.020 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.020 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.020 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.021 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 5.022 * [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) 5.023 * [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)) 5.025 * [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))) 5.026 * [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) 5.026 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.026 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.026 * [taylor]: Taking taylor expansion of 2.0 in n 5.026 * [backup-simplify]: Simplify 2.0 into 2.0 5.026 * [taylor]: Taking taylor expansion of (* n PI) in n 5.027 * [taylor]: Taking taylor expansion of n in n 5.027 * [backup-simplify]: Simplify 0 into 0 5.027 * [backup-simplify]: Simplify 1 into 1 5.027 * [taylor]: Taking taylor expansion of PI in n 5.027 * [backup-simplify]: Simplify PI into PI 5.027 * [backup-simplify]: Simplify (* 0 PI) into 0 5.028 * [backup-simplify]: Simplify (* 2.0 0) into 0 5.029 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.031 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 5.032 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.033 * [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)) 5.035 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.037 * [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)) 5.040 * [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))) 5.042 * [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)))))) 5.048 * [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)))))))) 5.054 * [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)))))))) 5.060 * [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)))))))) 5.062 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 5.062 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 5.064 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 5.065 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.066 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.066 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 5.067 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 5.068 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 5.070 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 5.071 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 5.072 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 5.074 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 5.082 * [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 5.084 * [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 5.086 * [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 5.087 * [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 5.088 * [backup-simplify]: Simplify (- 0) into 0 5.088 * [backup-simplify]: Simplify 0 into 0 5.088 * [backup-simplify]: Simplify 0 into 0 5.088 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.089 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 5.091 * [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 5.091 * [backup-simplify]: Simplify (- 0) into 0 5.091 * [backup-simplify]: Simplify (+ 0 0) into 0 5.092 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 5.093 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 5.094 * [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))) 5.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.100 * [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)))))))) 5.107 * [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)))))))) 5.107 * [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 5.107 * [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 5.107 * [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 5.107 * [taylor]: Taking taylor expansion of +nan.0 in n 5.107 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.107 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 5.107 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 5.107 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 5.107 * [taylor]: Taking taylor expansion of 0.5 in n 5.107 * [backup-simplify]: Simplify 0.5 into 0.5 5.107 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 5.107 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 5.107 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.107 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.107 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.107 * [taylor]: Taking taylor expansion of 1.0 in n 5.107 * [backup-simplify]: Simplify 1.0 into 1.0 5.107 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.107 * [taylor]: Taking taylor expansion of 2.0 in n 5.107 * [backup-simplify]: Simplify 2.0 into 2.0 5.108 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.108 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.109 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.109 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.109 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.109 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.109 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.109 * [taylor]: Taking taylor expansion of 1.0 in n 5.109 * [backup-simplify]: Simplify 1.0 into 1.0 5.109 * [taylor]: Taking taylor expansion of (log n) in n 5.109 * [taylor]: Taking taylor expansion of n in n 5.109 * [backup-simplify]: Simplify 0 into 0 5.109 * [backup-simplify]: Simplify 1 into 1 5.109 * [backup-simplify]: Simplify (log 1) into 0 5.110 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.110 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.110 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.110 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.110 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.110 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.110 * [taylor]: Taking taylor expansion of 1.0 in n 5.110 * [backup-simplify]: Simplify 1.0 into 1.0 5.110 * [taylor]: Taking taylor expansion of (log PI) in n 5.110 * [taylor]: Taking taylor expansion of PI in n 5.110 * [backup-simplify]: Simplify PI into PI 5.110 * [backup-simplify]: Simplify (log PI) into (log PI) 5.111 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.112 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.112 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 5.113 * [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) 5.114 * [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)) 5.115 * [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))) 5.116 * [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) 5.116 * [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 5.116 * [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 5.116 * [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 5.116 * [taylor]: Taking taylor expansion of +nan.0 in n 5.116 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.116 * [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 5.116 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 5.116 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 5.116 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 5.116 * [taylor]: Taking taylor expansion of 0.5 in n 5.116 * [backup-simplify]: Simplify 0.5 into 0.5 5.116 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 5.116 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 5.116 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.116 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.116 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.116 * [taylor]: Taking taylor expansion of 1.0 in n 5.116 * [backup-simplify]: Simplify 1.0 into 1.0 5.116 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.116 * [taylor]: Taking taylor expansion of 2.0 in n 5.116 * [backup-simplify]: Simplify 2.0 into 2.0 5.116 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.117 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.118 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.118 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 5.118 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.118 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.118 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.118 * [taylor]: Taking taylor expansion of 1.0 in n 5.118 * [backup-simplify]: Simplify 1.0 into 1.0 5.118 * [taylor]: Taking taylor expansion of (log PI) in n 5.118 * [taylor]: Taking taylor expansion of PI in n 5.118 * [backup-simplify]: Simplify PI into PI 5.118 * [backup-simplify]: Simplify (log PI) into (log PI) 5.119 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.120 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.120 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.120 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.120 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.120 * [taylor]: Taking taylor expansion of 1.0 in n 5.120 * [backup-simplify]: Simplify 1.0 into 1.0 5.120 * [taylor]: Taking taylor expansion of (log n) in n 5.120 * [taylor]: Taking taylor expansion of n in n 5.120 * [backup-simplify]: Simplify 0 into 0 5.120 * [backup-simplify]: Simplify 1 into 1 5.120 * [backup-simplify]: Simplify (log 1) into 0 5.120 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.120 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.121 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.121 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 5.122 * [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) 5.123 * [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)) 5.123 * [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))) 5.124 * [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) 5.124 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.124 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.124 * [taylor]: Taking taylor expansion of 2.0 in n 5.125 * [backup-simplify]: Simplify 2.0 into 2.0 5.125 * [taylor]: Taking taylor expansion of (* n PI) in n 5.125 * [taylor]: Taking taylor expansion of n in n 5.125 * [backup-simplify]: Simplify 0 into 0 5.125 * [backup-simplify]: Simplify 1 into 1 5.125 * [taylor]: Taking taylor expansion of PI in n 5.125 * [backup-simplify]: Simplify PI into PI 5.125 * [backup-simplify]: Simplify (* 0 PI) into 0 5.125 * [backup-simplify]: Simplify (* 2.0 0) into 0 5.126 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.127 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 5.128 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.128 * [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 5.128 * [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 5.128 * [taylor]: Taking taylor expansion of +nan.0 in n 5.128 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.128 * [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 5.128 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 5.128 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 5.128 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 5.128 * [taylor]: Taking taylor expansion of 0.5 in n 5.128 * [backup-simplify]: Simplify 0.5 into 0.5 5.128 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 5.128 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 5.128 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.128 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.128 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.128 * [taylor]: Taking taylor expansion of 1.0 in n 5.128 * [backup-simplify]: Simplify 1.0 into 1.0 5.128 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.128 * [taylor]: Taking taylor expansion of 2.0 in n 5.128 * [backup-simplify]: Simplify 2.0 into 2.0 5.128 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.129 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.130 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.130 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 5.130 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.130 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.130 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.130 * [taylor]: Taking taylor expansion of 1.0 in n 5.130 * [backup-simplify]: Simplify 1.0 into 1.0 5.130 * [taylor]: Taking taylor expansion of (log PI) in n 5.130 * [taylor]: Taking taylor expansion of PI in n 5.130 * [backup-simplify]: Simplify PI into PI 5.130 * [backup-simplify]: Simplify (log PI) into (log PI) 5.131 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.132 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.132 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.132 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.132 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.132 * [taylor]: Taking taylor expansion of 1.0 in n 5.132 * [backup-simplify]: Simplify 1.0 into 1.0 5.132 * [taylor]: Taking taylor expansion of (log n) in n 5.132 * [taylor]: Taking taylor expansion of n in n 5.132 * [backup-simplify]: Simplify 0 into 0 5.132 * [backup-simplify]: Simplify 1 into 1 5.132 * [backup-simplify]: Simplify (log 1) into 0 5.133 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.133 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.133 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.133 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 5.134 * [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) 5.135 * [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)) 5.135 * [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))) 5.136 * [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) 5.136 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 5.136 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.136 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.136 * [taylor]: Taking taylor expansion of 2.0 in n 5.136 * [backup-simplify]: Simplify 2.0 into 2.0 5.136 * [taylor]: Taking taylor expansion of (* n PI) in n 5.136 * [taylor]: Taking taylor expansion of n in n 5.136 * [backup-simplify]: Simplify 0 into 0 5.136 * [backup-simplify]: Simplify 1 into 1 5.136 * [taylor]: Taking taylor expansion of PI in n 5.136 * [backup-simplify]: Simplify PI into PI 5.137 * [backup-simplify]: Simplify (* 0 PI) into 0 5.137 * [backup-simplify]: Simplify (* 2.0 0) into 0 5.138 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.139 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 5.140 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.140 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.141 * [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)) 5.142 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.144 * [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)) 5.145 * [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))) 5.146 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.147 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.148 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 5.150 * [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)) 5.152 * [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))) 5.153 * [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)))))))) 5.160 * [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)))))))))))) 5.168 * [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)))))))))))) 5.186 * [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)))))))))))))) 5.200 * [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)))))))))))))) 5.214 * [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)))))))))))))) 5.237 * [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)))))))))))))))))))))) 5.238 * [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)))))) 5.238 * [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 5.238 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 5.238 * [taylor]: Taking taylor expansion of 1.0 in n 5.238 * [backup-simplify]: Simplify 1.0 into 1.0 5.238 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 5.238 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.238 * [taylor]: Taking taylor expansion of k in n 5.238 * [backup-simplify]: Simplify k into k 5.238 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 5.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 5.238 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.238 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.238 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.238 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.238 * [taylor]: Taking taylor expansion of 0.5 in n 5.238 * [backup-simplify]: Simplify 0.5 into 0.5 5.238 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.238 * [taylor]: Taking taylor expansion of 1.0 in n 5.238 * [backup-simplify]: Simplify 1.0 into 1.0 5.238 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.238 * [taylor]: Taking taylor expansion of k in n 5.238 * [backup-simplify]: Simplify k into k 5.238 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.239 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.239 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.239 * [taylor]: Taking taylor expansion of 2.0 in n 5.239 * [backup-simplify]: Simplify 2.0 into 2.0 5.239 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.239 * [taylor]: Taking taylor expansion of PI in n 5.239 * [backup-simplify]: Simplify PI into PI 5.239 * [taylor]: Taking taylor expansion of n in n 5.239 * [backup-simplify]: Simplify 0 into 0 5.239 * [backup-simplify]: Simplify 1 into 1 5.239 * [backup-simplify]: Simplify (/ PI 1) into PI 5.240 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.241 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.241 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.241 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.241 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 5.242 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.243 * [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)))) 5.244 * [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))))) 5.244 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 5.245 * [taylor]: Taking taylor expansion of 1.0 in k 5.245 * [backup-simplify]: Simplify 1.0 into 1.0 5.245 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.245 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.245 * [taylor]: Taking taylor expansion of k in k 5.245 * [backup-simplify]: Simplify 0 into 0 5.245 * [backup-simplify]: Simplify 1 into 1 5.245 * [backup-simplify]: Simplify (sqrt 0) into 0 5.246 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.246 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.246 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.247 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.247 * [taylor]: Taking taylor expansion of 0.5 in k 5.247 * [backup-simplify]: Simplify 0.5 into 0.5 5.247 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.247 * [taylor]: Taking taylor expansion of 1.0 in k 5.247 * [backup-simplify]: Simplify 1.0 into 1.0 5.247 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.247 * [taylor]: Taking taylor expansion of k in k 5.247 * [backup-simplify]: Simplify 0 into 0 5.247 * [backup-simplify]: Simplify 1 into 1 5.247 * [backup-simplify]: Simplify (/ 1 1) into 1 5.247 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.247 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.247 * [taylor]: Taking taylor expansion of 2.0 in k 5.247 * [backup-simplify]: Simplify 2.0 into 2.0 5.247 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.247 * [taylor]: Taking taylor expansion of PI in k 5.247 * [backup-simplify]: Simplify PI into PI 5.247 * [taylor]: Taking taylor expansion of n in k 5.247 * [backup-simplify]: Simplify n into n 5.247 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.248 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 5.248 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 5.248 * [backup-simplify]: Simplify (- 1) into -1 5.248 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.249 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.249 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 5.249 * [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))))) 5.249 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 5.249 * [taylor]: Taking taylor expansion of 1.0 in k 5.249 * [backup-simplify]: Simplify 1.0 into 1.0 5.249 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.250 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.250 * [taylor]: Taking taylor expansion of k in k 5.250 * [backup-simplify]: Simplify 0 into 0 5.250 * [backup-simplify]: Simplify 1 into 1 5.250 * [backup-simplify]: Simplify (sqrt 0) into 0 5.251 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.251 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.251 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.251 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.251 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.251 * [taylor]: Taking taylor expansion of 0.5 in k 5.251 * [backup-simplify]: Simplify 0.5 into 0.5 5.251 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.251 * [taylor]: Taking taylor expansion of 1.0 in k 5.251 * [backup-simplify]: Simplify 1.0 into 1.0 5.251 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.251 * [taylor]: Taking taylor expansion of k in k 5.251 * [backup-simplify]: Simplify 0 into 0 5.252 * [backup-simplify]: Simplify 1 into 1 5.252 * [backup-simplify]: Simplify (/ 1 1) into 1 5.252 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.252 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.252 * [taylor]: Taking taylor expansion of 2.0 in k 5.252 * [backup-simplify]: Simplify 2.0 into 2.0 5.252 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.252 * [taylor]: Taking taylor expansion of PI in k 5.252 * [backup-simplify]: Simplify PI into PI 5.252 * [taylor]: Taking taylor expansion of n in k 5.252 * [backup-simplify]: Simplify n into n 5.252 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.252 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 5.252 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 5.253 * [backup-simplify]: Simplify (- 1) into -1 5.253 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.253 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.254 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 5.254 * [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))))) 5.254 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 5.255 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.255 * [taylor]: Taking taylor expansion of 0 in n 5.255 * [backup-simplify]: Simplify 0 into 0 5.255 * [backup-simplify]: Simplify 0 into 0 5.255 * [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))))))) 5.256 * [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))))))) 5.256 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 5.256 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 5.256 * [taylor]: Taking taylor expansion of +nan.0 in n 5.256 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.256 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 5.256 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 5.256 * [taylor]: Taking taylor expansion of 0.5 in n 5.256 * [backup-simplify]: Simplify 0.5 into 0.5 5.256 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 5.256 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.256 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.256 * [taylor]: Taking taylor expansion of 2.0 in n 5.256 * [backup-simplify]: Simplify 2.0 into 2.0 5.256 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.256 * [taylor]: Taking taylor expansion of PI in n 5.256 * [backup-simplify]: Simplify PI into PI 5.256 * [taylor]: Taking taylor expansion of n in n 5.256 * [backup-simplify]: Simplify 0 into 0 5.256 * [backup-simplify]: Simplify 1 into 1 5.257 * [backup-simplify]: Simplify (/ PI 1) into PI 5.257 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.258 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.258 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.258 * [taylor]: Taking taylor expansion of 1.0 in n 5.258 * [backup-simplify]: Simplify 1.0 into 1.0 5.258 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.258 * [taylor]: Taking taylor expansion of k in n 5.259 * [backup-simplify]: Simplify k into k 5.259 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.260 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.260 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.260 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.261 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 5.262 * [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)))) 5.263 * [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))))) 5.265 * [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)))))) 5.266 * [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))))))) 5.267 * [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))))))) 5.267 * [backup-simplify]: Simplify 0 into 0 5.270 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.271 * [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))))))) 5.272 * [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))))))) 5.272 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 5.272 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 5.272 * [taylor]: Taking taylor expansion of +nan.0 in n 5.272 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.272 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 5.272 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 5.272 * [taylor]: Taking taylor expansion of 0.5 in n 5.272 * [backup-simplify]: Simplify 0.5 into 0.5 5.272 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 5.272 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.272 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.272 * [taylor]: Taking taylor expansion of 2.0 in n 5.272 * [backup-simplify]: Simplify 2.0 into 2.0 5.272 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.272 * [taylor]: Taking taylor expansion of PI in n 5.272 * [backup-simplify]: Simplify PI into PI 5.272 * [taylor]: Taking taylor expansion of n in n 5.272 * [backup-simplify]: Simplify 0 into 0 5.272 * [backup-simplify]: Simplify 1 into 1 5.273 * [backup-simplify]: Simplify (/ PI 1) into PI 5.273 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.274 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.274 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.274 * [taylor]: Taking taylor expansion of 1.0 in n 5.274 * [backup-simplify]: Simplify 1.0 into 1.0 5.274 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.274 * [taylor]: Taking taylor expansion of k in n 5.274 * [backup-simplify]: Simplify k into k 5.275 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.276 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.276 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.276 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.277 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 5.278 * [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)))) 5.279 * [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))))) 5.281 * [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)))))) 5.282 * [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))))))) 5.283 * [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))))))) 5.285 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.285 * [backup-simplify]: Simplify (- 0) into 0 5.285 * [backup-simplify]: Simplify (+ 0 0) into 0 5.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.287 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.289 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 5.290 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 5.292 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 5.294 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.295 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 5.296 * [backup-simplify]: Simplify (- 0) into 0 5.296 * [backup-simplify]: Simplify 0 into 0 5.296 * [backup-simplify]: Simplify 0 into 0 5.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.301 * [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))))))) 5.303 * [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))))))) 5.303 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 5.303 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 5.303 * [taylor]: Taking taylor expansion of +nan.0 in n 5.303 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.303 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 5.303 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 5.303 * [taylor]: Taking taylor expansion of 0.5 in n 5.303 * [backup-simplify]: Simplify 0.5 into 0.5 5.303 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 5.303 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.303 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.303 * [taylor]: Taking taylor expansion of 2.0 in n 5.303 * [backup-simplify]: Simplify 2.0 into 2.0 5.303 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.303 * [taylor]: Taking taylor expansion of PI in n 5.303 * [backup-simplify]: Simplify PI into PI 5.303 * [taylor]: Taking taylor expansion of n in n 5.303 * [backup-simplify]: Simplify 0 into 0 5.303 * [backup-simplify]: Simplify 1 into 1 5.304 * [backup-simplify]: Simplify (/ PI 1) into PI 5.304 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.305 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.305 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.305 * [taylor]: Taking taylor expansion of 1.0 in n 5.305 * [backup-simplify]: Simplify 1.0 into 1.0 5.305 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.305 * [taylor]: Taking taylor expansion of k in n 5.305 * [backup-simplify]: Simplify k into k 5.305 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.307 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.307 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.307 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.308 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 5.309 * [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)))) 5.310 * [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))))) 5.311 * [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)))))) 5.316 * [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))))))) 5.316 * [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))))))) 5.320 * [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)))))))) 5.320 * [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)))) 5.320 * [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 5.320 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 5.320 * [taylor]: Taking taylor expansion of 1.0 in n 5.320 * [backup-simplify]: Simplify 1.0 into 1.0 5.320 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 5.321 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.321 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.321 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.321 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.321 * [taylor]: Taking taylor expansion of 0.5 in n 5.321 * [backup-simplify]: Simplify 0.5 into 0.5 5.321 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.321 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.321 * [taylor]: Taking taylor expansion of k in n 5.321 * [backup-simplify]: Simplify k into k 5.321 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.321 * [taylor]: Taking taylor expansion of 1.0 in n 5.321 * [backup-simplify]: Simplify 1.0 into 1.0 5.321 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.321 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.321 * [taylor]: Taking taylor expansion of -2.0 in n 5.321 * [backup-simplify]: Simplify -2.0 into -2.0 5.321 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.321 * [taylor]: Taking taylor expansion of PI in n 5.321 * [backup-simplify]: Simplify PI into PI 5.321 * [taylor]: Taking taylor expansion of n in n 5.321 * [backup-simplify]: Simplify 0 into 0 5.321 * [backup-simplify]: Simplify 1 into 1 5.321 * [backup-simplify]: Simplify (/ PI 1) into PI 5.322 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.322 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.322 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.322 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 5.324 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.324 * [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)))) 5.325 * [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))))) 5.325 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.325 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.325 * [taylor]: Taking taylor expansion of -1 in n 5.325 * [backup-simplify]: Simplify -1 into -1 5.325 * [taylor]: Taking taylor expansion of k in n 5.325 * [backup-simplify]: Simplify k into k 5.325 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 5.325 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 5.325 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 5.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 5.326 * [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))) 5.326 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 5.326 * [taylor]: Taking taylor expansion of 1.0 in k 5.326 * [backup-simplify]: Simplify 1.0 into 1.0 5.326 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.326 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.326 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.326 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.326 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.326 * [taylor]: Taking taylor expansion of 0.5 in k 5.327 * [backup-simplify]: Simplify 0.5 into 0.5 5.327 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.327 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.327 * [taylor]: Taking taylor expansion of k in k 5.327 * [backup-simplify]: Simplify 0 into 0 5.327 * [backup-simplify]: Simplify 1 into 1 5.327 * [backup-simplify]: Simplify (/ 1 1) into 1 5.327 * [taylor]: Taking taylor expansion of 1.0 in k 5.327 * [backup-simplify]: Simplify 1.0 into 1.0 5.327 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.327 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.327 * [taylor]: Taking taylor expansion of -2.0 in k 5.327 * [backup-simplify]: Simplify -2.0 into -2.0 5.327 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.327 * [taylor]: Taking taylor expansion of PI in k 5.327 * [backup-simplify]: Simplify PI into PI 5.327 * [taylor]: Taking taylor expansion of n in k 5.327 * [backup-simplify]: Simplify n into n 5.327 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.327 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 5.327 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 5.328 * [backup-simplify]: Simplify (+ 1 0) into 1 5.328 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.328 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 5.328 * [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)))))) 5.328 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.328 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.328 * [taylor]: Taking taylor expansion of -1 in k 5.328 * [backup-simplify]: Simplify -1 into -1 5.328 * [taylor]: Taking taylor expansion of k in k 5.328 * [backup-simplify]: Simplify 0 into 0 5.328 * [backup-simplify]: Simplify 1 into 1 5.328 * [backup-simplify]: Simplify (/ -1 1) into -1 5.329 * [backup-simplify]: Simplify (sqrt 0) into 0 5.330 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.330 * [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))))))) 5.330 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 5.330 * [taylor]: Taking taylor expansion of 1.0 in k 5.330 * [backup-simplify]: Simplify 1.0 into 1.0 5.330 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.330 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.330 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.330 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.330 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.330 * [taylor]: Taking taylor expansion of 0.5 in k 5.330 * [backup-simplify]: Simplify 0.5 into 0.5 5.330 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.330 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.330 * [taylor]: Taking taylor expansion of k in k 5.330 * [backup-simplify]: Simplify 0 into 0 5.330 * [backup-simplify]: Simplify 1 into 1 5.330 * [backup-simplify]: Simplify (/ 1 1) into 1 5.330 * [taylor]: Taking taylor expansion of 1.0 in k 5.331 * [backup-simplify]: Simplify 1.0 into 1.0 5.331 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.331 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.331 * [taylor]: Taking taylor expansion of -2.0 in k 5.331 * [backup-simplify]: Simplify -2.0 into -2.0 5.331 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.331 * [taylor]: Taking taylor expansion of PI in k 5.331 * [backup-simplify]: Simplify PI into PI 5.331 * [taylor]: Taking taylor expansion of n in k 5.331 * [backup-simplify]: Simplify n into n 5.331 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.331 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 5.331 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 5.331 * [backup-simplify]: Simplify (+ 1 0) into 1 5.331 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.332 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 5.332 * [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)))))) 5.332 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.332 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.332 * [taylor]: Taking taylor expansion of -1 in k 5.332 * [backup-simplify]: Simplify -1 into -1 5.332 * [taylor]: Taking taylor expansion of k in k 5.332 * [backup-simplify]: Simplify 0 into 0 5.332 * [backup-simplify]: Simplify 1 into 1 5.332 * [backup-simplify]: Simplify (/ -1 1) into -1 5.332 * [backup-simplify]: Simplify (sqrt 0) into 0 5.333 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.333 * [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))))))) 5.334 * [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))))))) 5.334 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.334 * [taylor]: Taking taylor expansion of +nan.0 in n 5.334 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.334 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.334 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.334 * [taylor]: Taking taylor expansion of 0.5 in n 5.334 * [backup-simplify]: Simplify 0.5 into 0.5 5.334 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.334 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.334 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.334 * [taylor]: Taking taylor expansion of k in n 5.334 * [backup-simplify]: Simplify k into k 5.334 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.334 * [taylor]: Taking taylor expansion of 1.0 in n 5.334 * [backup-simplify]: Simplify 1.0 into 1.0 5.334 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.334 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.334 * [taylor]: Taking taylor expansion of -2.0 in n 5.334 * [backup-simplify]: Simplify -2.0 into -2.0 5.334 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.334 * [taylor]: Taking taylor expansion of PI in n 5.334 * [backup-simplify]: Simplify PI into PI 5.334 * [taylor]: Taking taylor expansion of n in n 5.334 * [backup-simplify]: Simplify 0 into 0 5.334 * [backup-simplify]: Simplify 1 into 1 5.334 * [backup-simplify]: Simplify (/ PI 1) into PI 5.335 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.335 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.335 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.336 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.337 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 5.338 * [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)))) 5.338 * [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))))) 5.339 * [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)))))) 5.340 * [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)))))) 5.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.342 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.343 * [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)))))))) 5.343 * [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)))))))) 5.343 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 5.343 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.343 * [taylor]: Taking taylor expansion of +nan.0 in n 5.343 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.343 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.343 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.343 * [taylor]: Taking taylor expansion of 0.5 in n 5.344 * [backup-simplify]: Simplify 0.5 into 0.5 5.344 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.344 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.344 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.344 * [taylor]: Taking taylor expansion of k in n 5.344 * [backup-simplify]: Simplify k into k 5.344 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.344 * [taylor]: Taking taylor expansion of 1.0 in n 5.344 * [backup-simplify]: Simplify 1.0 into 1.0 5.344 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.344 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.344 * [taylor]: Taking taylor expansion of -2.0 in n 5.344 * [backup-simplify]: Simplify -2.0 into -2.0 5.344 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.344 * [taylor]: Taking taylor expansion of PI in n 5.344 * [backup-simplify]: Simplify PI into PI 5.344 * [taylor]: Taking taylor expansion of n in n 5.344 * [backup-simplify]: Simplify 0 into 0 5.344 * [backup-simplify]: Simplify 1 into 1 5.344 * [backup-simplify]: Simplify (/ PI 1) into PI 5.344 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.345 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.345 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.346 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.347 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 5.348 * [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)))) 5.350 * [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))))) 5.351 * [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)))))) 5.352 * [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))))))) 5.354 * [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))))))) 5.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.356 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 5.358 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 5.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.358 * [backup-simplify]: Simplify (+ 0 0) into 0 5.360 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.361 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 5.363 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 5.365 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.367 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 5.367 * [backup-simplify]: Simplify 0 into 0 5.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.372 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.374 * [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)))))))) 5.375 * [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)))))))) 5.375 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 5.375 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.375 * [taylor]: Taking taylor expansion of +nan.0 in n 5.375 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.375 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.375 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.375 * [taylor]: Taking taylor expansion of 0.5 in n 5.375 * [backup-simplify]: Simplify 0.5 into 0.5 5.375 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.375 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.375 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.375 * [taylor]: Taking taylor expansion of k in n 5.376 * [backup-simplify]: Simplify k into k 5.376 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.376 * [taylor]: Taking taylor expansion of 1.0 in n 5.376 * [backup-simplify]: Simplify 1.0 into 1.0 5.376 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.376 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.376 * [taylor]: Taking taylor expansion of -2.0 in n 5.376 * [backup-simplify]: Simplify -2.0 into -2.0 5.376 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.376 * [taylor]: Taking taylor expansion of PI in n 5.376 * [backup-simplify]: Simplify PI into PI 5.376 * [taylor]: Taking taylor expansion of n in n 5.376 * [backup-simplify]: Simplify 0 into 0 5.376 * [backup-simplify]: Simplify 1 into 1 5.377 * [backup-simplify]: Simplify (/ PI 1) into PI 5.377 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.378 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.378 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.380 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.381 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 5.382 * [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)))) 5.384 * [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))))) 5.385 * [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)))))) 5.386 * [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))))))) 5.388 * [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))))))) 5.392 * [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)))))))))))) 5.393 * * * [progress]: simplifying candidates 5.398 * [simplify]: Simplifying: (* (+ (+ (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))) (* 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(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 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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)))))))))))) 5.402 * * [simplify]: Extracting # 0 : cost 0 5.403 * * [simplify]: Extracting # 1 : cost 0 5.403 * * [simplify]: Extracting # 2 : cost 0 5.403 * * [simplify]: Extracting # 3 : cost 0 5.404 * * [simplify]: Extracting # 4 : cost 0 5.404 * * [simplify]: Extracting # 5 : cost 0 5.405 * * [simplify]: Extracting # 6 : cost 0 5.405 * * [simplify]: Extracting # 7 : cost 0 5.406 * * [simplify]: Extracting # 8 : cost 0 5.406 * * [simplify]: Extracting # 9 : cost 0 5.407 * * [simplify]: Extracting # 10 : cost 0 5.407 * * [simplify]: Extracting # 11 : cost 0 5.408 * * [simplify]: Extracting # 12 : cost 0 5.409 * * [simplify]: Extracting # 13 : cost 0 5.409 * * [simplify]: Extracting # 14 : cost 0 5.410 * * [simplify]: Extracting # 15 : cost 0 5.410 * * [simplify]: Extracting # 16 : cost 0 5.411 * * [simplify]: Extracting # 17 : cost 0 5.411 * * [simplify]: Extracting # 18 : cost 0 5.412 * * [simplify]: Extracting # 19 : cost 0 5.412 * * [simplify]: Extracting # 20 : cost 0 5.413 * * [simplify]: Extracting # 21 : cost 0 5.413 * * [simplify]: Extracting # 22 : cost 0 5.414 * * [simplify]: Extracting # 23 : cost 0 5.415 * * [simplify]: Extracting # 24 : cost 0 5.415 * * [simplify]: Extracting # 25 : cost 0 5.420 * * [simplify]: Extracting # 26 : cost 0 5.420 * * [simplify]: Extracting # 27 : cost 0 5.421 * * [simplify]: Extracting # 28 : cost 0 5.421 * * [simplify]: Extracting # 29 : cost 0 5.422 * * [simplify]: Extracting # 30 : cost 0 5.422 * * [simplify]: Extracting # 31 : cost 0 5.423 * * [simplify]: Extracting # 32 : cost 0 5.424 * * [simplify]: iteration 0 : 361 enodes (cost 2800 ) 5.586 * * [simplify]: Extracting # 0 : cost 0 5.589 * * [simplify]: Extracting # 1 : cost 0 5.591 * * [simplify]: Extracting # 2 : cost 0 5.594 * * [simplify]: Extracting # 3 : cost 0 5.596 * * [simplify]: Extracting # 4 : cost 0 5.599 * * [simplify]: Extracting # 5 : cost 0 5.601 * * [simplify]: iteration 1 : 931 enodes (cost 2635 ) 6.266 * * [simplify]: Extracting # 0 : cost 0 6.270 * * [simplify]: Extracting # 1 : cost 0 6.274 * * [simplify]: Extracting # 2 : cost 0 6.277 * * [simplify]: Extracting # 3 : cost 0 6.281 * * [simplify]: Extracting # 4 : cost 0 6.285 * * [simplify]: Extracting # 5 : cost 0 6.288 * * [simplify]: iteration 2 : 3047 enodes (cost 2471 ) 7.455 * * [simplify]: Extracting # 0 : cost 0 7.467 * * [simplify]: Extracting # 1 : cost 0 7.481 * * [simplify]: Extracting # 2 : cost 0 7.491 * * [simplify]: Extracting # 3 : cost 0 7.502 * * [simplify]: Extracting # 4 : cost 0 7.508 * * [simplify]: iteration done: 5000 enodes (cost 2471 ) 7.510 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 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 (* n PI)) (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))) (* n (* 2.0 PI)) (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))) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (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) (* n PI) (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) (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 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 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))) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2)))) (- (+ (pow (* (* 2.0 PI) n) 0.5) (* (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (* 2.0 PI) n) 0.5)) 0.25)) (* (* 0.5 k) (+ (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (- (- (* +nan.0 k) (- (* +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)) (+ (- (* +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)) (* 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)) k) k)))) (+ (* +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)))) 7.511 * * * [progress]: adding candidates to table 8.079 * * [progress]: iteration 2 / 4 8.079 * * * [progress]: picking best candidate 8.126 * * * * [pick]: Picked # 8.127 * * * [progress]: localizing error 8.166 * * * [progress]: generating rewritten candidates 8.166 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.191 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 8.214 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 8.246 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 8.273 * * * [progress]: generating series expansions 8.273 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.273 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 8.273 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 8.273 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 8.273 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 8.273 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 8.274 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.274 * [taylor]: Taking taylor expansion of 0.5 in k 8.274 * [backup-simplify]: Simplify 0.5 into 0.5 8.274 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.274 * [taylor]: Taking taylor expansion of 1.0 in k 8.274 * [backup-simplify]: Simplify 1.0 into 1.0 8.274 * [taylor]: Taking taylor expansion of k in k 8.274 * [backup-simplify]: Simplify 0 into 0 8.274 * [backup-simplify]: Simplify 1 into 1 8.274 * [taylor]: Taking taylor expansion of (log n) in k 8.274 * [taylor]: Taking taylor expansion of n in k 8.274 * [backup-simplify]: Simplify n into n 8.274 * [backup-simplify]: Simplify (log n) into (log n) 8.274 * [backup-simplify]: Simplify (- 0) into 0 8.275 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.275 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.275 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 8.276 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 8.276 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 8.276 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 8.276 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 8.276 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.276 * [taylor]: Taking taylor expansion of 0.5 in n 8.276 * [backup-simplify]: Simplify 0.5 into 0.5 8.276 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.276 * [taylor]: Taking taylor expansion of 1.0 in n 8.276 * [backup-simplify]: Simplify 1.0 into 1.0 8.276 * [taylor]: Taking taylor expansion of k in n 8.276 * [backup-simplify]: Simplify k into k 8.276 * [taylor]: Taking taylor expansion of (log n) in n 8.276 * [taylor]: Taking taylor expansion of n in n 8.276 * [backup-simplify]: Simplify 0 into 0 8.276 * [backup-simplify]: Simplify 1 into 1 8.277 * [backup-simplify]: Simplify (log 1) into 0 8.277 * [backup-simplify]: Simplify (- k) into (- k) 8.277 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.277 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.277 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.277 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 8.277 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 8.278 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 8.278 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 8.278 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 8.278 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.278 * [taylor]: Taking taylor expansion of 0.5 in n 8.278 * [backup-simplify]: Simplify 0.5 into 0.5 8.278 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.278 * [taylor]: Taking taylor expansion of 1.0 in n 8.278 * [backup-simplify]: Simplify 1.0 into 1.0 8.278 * [taylor]: Taking taylor expansion of k in n 8.278 * [backup-simplify]: Simplify k into k 8.278 * [taylor]: Taking taylor expansion of (log n) in n 8.278 * [taylor]: Taking taylor expansion of n in n 8.278 * [backup-simplify]: Simplify 0 into 0 8.278 * [backup-simplify]: Simplify 1 into 1 8.278 * [backup-simplify]: Simplify (log 1) into 0 8.278 * [backup-simplify]: Simplify (- k) into (- k) 8.279 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.279 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.287 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.287 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 8.287 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 8.288 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 8.288 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 8.288 * [taylor]: Taking taylor expansion of 0.5 in k 8.288 * [backup-simplify]: Simplify 0.5 into 0.5 8.288 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 8.288 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.288 * [taylor]: Taking taylor expansion of 1.0 in k 8.288 * [backup-simplify]: Simplify 1.0 into 1.0 8.288 * [taylor]: Taking taylor expansion of k in k 8.288 * [backup-simplify]: Simplify 0 into 0 8.288 * [backup-simplify]: Simplify 1 into 1 8.288 * [taylor]: Taking taylor expansion of (log n) in k 8.288 * [taylor]: Taking taylor expansion of n in k 8.288 * [backup-simplify]: Simplify n into n 8.288 * [backup-simplify]: Simplify (log n) into (log n) 8.289 * [backup-simplify]: Simplify (- 0) into 0 8.289 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.289 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.290 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 8.290 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 8.290 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 8.292 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.292 * [backup-simplify]: Simplify (- 0) into 0 8.293 * [backup-simplify]: Simplify (+ 0 0) into 0 8.293 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 8.293 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.294 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 8.295 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.295 * [taylor]: Taking taylor expansion of 0 in k 8.295 * [backup-simplify]: Simplify 0 into 0 8.295 * [backup-simplify]: Simplify 0 into 0 8.296 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 8.296 * [backup-simplify]: Simplify (- 1) into -1 8.297 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.297 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 8.297 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 8.298 * [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))) 8.298 * [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))) 8.300 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.301 * [backup-simplify]: Simplify (- 0) into 0 8.301 * [backup-simplify]: Simplify (+ 0 0) into 0 8.302 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 8.302 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.302 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 8.303 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.303 * [taylor]: Taking taylor expansion of 0 in k 8.303 * [backup-simplify]: Simplify 0 into 0 8.303 * [backup-simplify]: Simplify 0 into 0 8.303 * [backup-simplify]: Simplify 0 into 0 8.305 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 8.305 * [backup-simplify]: Simplify (- 0) into 0 8.305 * [backup-simplify]: Simplify (+ 0 0) into 0 8.306 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 8.306 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 8.307 * [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))) 8.307 * [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))) 8.307 * [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)))) 8.308 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 8.308 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.308 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.308 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 8.308 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 8.308 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.308 * [taylor]: Taking taylor expansion of 0.5 in k 8.308 * [backup-simplify]: Simplify 0.5 into 0.5 8.308 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.308 * [taylor]: Taking taylor expansion of 1.0 in k 8.308 * [backup-simplify]: Simplify 1.0 into 1.0 8.308 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.308 * [taylor]: Taking taylor expansion of k in k 8.308 * [backup-simplify]: Simplify 0 into 0 8.308 * [backup-simplify]: Simplify 1 into 1 8.308 * [backup-simplify]: Simplify (/ 1 1) into 1 8.308 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 8.308 * [taylor]: Taking taylor expansion of (/ 1 n) in k 8.308 * [taylor]: Taking taylor expansion of n in k 8.308 * [backup-simplify]: Simplify n into n 8.308 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.308 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 8.309 * [backup-simplify]: Simplify (- 1) into -1 8.309 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.309 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.309 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 8.309 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 8.309 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.309 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 8.309 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 8.309 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.310 * [taylor]: Taking taylor expansion of 0.5 in n 8.310 * [backup-simplify]: Simplify 0.5 into 0.5 8.310 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.310 * [taylor]: Taking taylor expansion of 1.0 in n 8.310 * [backup-simplify]: Simplify 1.0 into 1.0 8.310 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.310 * [taylor]: Taking taylor expansion of k in n 8.310 * [backup-simplify]: Simplify k into k 8.310 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.310 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.310 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.310 * [taylor]: Taking taylor expansion of n in n 8.310 * [backup-simplify]: Simplify 0 into 0 8.310 * [backup-simplify]: Simplify 1 into 1 8.310 * [backup-simplify]: Simplify (/ 1 1) into 1 8.310 * [backup-simplify]: Simplify (log 1) into 0 8.310 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.310 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.310 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.311 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.311 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 8.311 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.311 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.311 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 8.311 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 8.311 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.311 * [taylor]: Taking taylor expansion of 0.5 in n 8.311 * [backup-simplify]: Simplify 0.5 into 0.5 8.311 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.311 * [taylor]: Taking taylor expansion of 1.0 in n 8.311 * [backup-simplify]: Simplify 1.0 into 1.0 8.311 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.311 * [taylor]: Taking taylor expansion of k in n 8.311 * [backup-simplify]: Simplify k into k 8.311 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.311 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.311 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.311 * [taylor]: Taking taylor expansion of n in n 8.311 * [backup-simplify]: Simplify 0 into 0 8.311 * [backup-simplify]: Simplify 1 into 1 8.312 * [backup-simplify]: Simplify (/ 1 1) into 1 8.312 * [backup-simplify]: Simplify (log 1) into 0 8.312 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.312 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.312 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.312 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.312 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 8.312 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.313 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 8.313 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 8.313 * [taylor]: Taking taylor expansion of -0.5 in k 8.313 * [backup-simplify]: Simplify -0.5 into -0.5 8.313 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 8.313 * [taylor]: Taking taylor expansion of (log n) in k 8.313 * [taylor]: Taking taylor expansion of n in k 8.313 * [backup-simplify]: Simplify n into n 8.313 * [backup-simplify]: Simplify (log n) into (log n) 8.313 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.313 * [taylor]: Taking taylor expansion of 1.0 in k 8.313 * [backup-simplify]: Simplify 1.0 into 1.0 8.313 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.313 * [taylor]: Taking taylor expansion of k in k 8.313 * [backup-simplify]: Simplify 0 into 0 8.313 * [backup-simplify]: Simplify 1 into 1 8.313 * [backup-simplify]: Simplify (/ 1 1) into 1 8.313 * [backup-simplify]: Simplify (- 1) into -1 8.314 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.314 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 8.314 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 8.314 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.314 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.315 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.316 * [backup-simplify]: Simplify (- 0) into 0 8.316 * [backup-simplify]: Simplify (+ 0 0) into 0 8.316 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 8.316 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.317 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 8.317 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.317 * [taylor]: Taking taylor expansion of 0 in k 8.317 * [backup-simplify]: Simplify 0 into 0 8.317 * [backup-simplify]: Simplify 0 into 0 8.317 * [backup-simplify]: Simplify 0 into 0 8.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.319 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.320 * [backup-simplify]: Simplify (- 0) into 0 8.320 * [backup-simplify]: Simplify (+ 0 0) into 0 8.321 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 8.321 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.321 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 8.322 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.322 * [taylor]: Taking taylor expansion of 0 in k 8.322 * [backup-simplify]: Simplify 0 into 0 8.322 * [backup-simplify]: Simplify 0 into 0 8.322 * [backup-simplify]: Simplify 0 into 0 8.322 * [backup-simplify]: Simplify 0 into 0 8.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.326 * [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 8.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.326 * [backup-simplify]: Simplify (- 0) into 0 8.326 * [backup-simplify]: Simplify (+ 0 0) into 0 8.327 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 8.327 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.328 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 8.329 * [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 8.329 * [taylor]: Taking taylor expansion of 0 in k 8.329 * [backup-simplify]: Simplify 0 into 0 8.329 * [backup-simplify]: Simplify 0 into 0 8.329 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 8.329 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 8.329 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.330 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.330 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 8.330 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 8.330 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.330 * [taylor]: Taking taylor expansion of 0.5 in k 8.330 * [backup-simplify]: Simplify 0.5 into 0.5 8.330 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.330 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.330 * [taylor]: Taking taylor expansion of k in k 8.330 * [backup-simplify]: Simplify 0 into 0 8.330 * [backup-simplify]: Simplify 1 into 1 8.330 * [backup-simplify]: Simplify (/ 1 1) into 1 8.330 * [taylor]: Taking taylor expansion of 1.0 in k 8.330 * [backup-simplify]: Simplify 1.0 into 1.0 8.330 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 8.330 * [taylor]: Taking taylor expansion of (/ -1 n) in k 8.330 * [taylor]: Taking taylor expansion of -1 in k 8.330 * [backup-simplify]: Simplify -1 into -1 8.330 * [taylor]: Taking taylor expansion of n in k 8.330 * [backup-simplify]: Simplify n into n 8.330 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 8.331 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 8.331 * [backup-simplify]: Simplify (+ 1 0) into 1 8.331 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.332 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 8.332 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 8.332 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.332 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 8.332 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 8.332 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.332 * [taylor]: Taking taylor expansion of 0.5 in n 8.332 * [backup-simplify]: Simplify 0.5 into 0.5 8.332 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.332 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.332 * [taylor]: Taking taylor expansion of k in n 8.332 * [backup-simplify]: Simplify k into k 8.332 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.332 * [taylor]: Taking taylor expansion of 1.0 in n 8.332 * [backup-simplify]: Simplify 1.0 into 1.0 8.332 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.332 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.332 * [taylor]: Taking taylor expansion of -1 in n 8.332 * [backup-simplify]: Simplify -1 into -1 8.332 * [taylor]: Taking taylor expansion of n in n 8.332 * [backup-simplify]: Simplify 0 into 0 8.332 * [backup-simplify]: Simplify 1 into 1 8.333 * [backup-simplify]: Simplify (/ -1 1) into -1 8.333 * [backup-simplify]: Simplify (log -1) into (log -1) 8.333 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.334 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.334 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.335 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 8.335 * [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)))) 8.336 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.336 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 8.336 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 8.336 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.336 * [taylor]: Taking taylor expansion of 0.5 in n 8.336 * [backup-simplify]: Simplify 0.5 into 0.5 8.336 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.336 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.336 * [taylor]: Taking taylor expansion of k in n 8.336 * [backup-simplify]: Simplify k into k 8.336 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.336 * [taylor]: Taking taylor expansion of 1.0 in n 8.336 * [backup-simplify]: Simplify 1.0 into 1.0 8.336 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.336 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.336 * [taylor]: Taking taylor expansion of -1 in n 8.336 * [backup-simplify]: Simplify -1 into -1 8.336 * [taylor]: Taking taylor expansion of n in n 8.336 * [backup-simplify]: Simplify 0 into 0 8.336 * [backup-simplify]: Simplify 1 into 1 8.337 * [backup-simplify]: Simplify (/ -1 1) into -1 8.337 * [backup-simplify]: Simplify (log -1) into (log -1) 8.337 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.337 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.338 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.339 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 8.339 * [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)))) 8.339 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 8.339 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 8.339 * [taylor]: Taking taylor expansion of 0.5 in k 8.339 * [backup-simplify]: Simplify 0.5 into 0.5 8.340 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 8.340 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 8.340 * [taylor]: Taking taylor expansion of (log -1) in k 8.340 * [taylor]: Taking taylor expansion of -1 in k 8.340 * [backup-simplify]: Simplify -1 into -1 8.340 * [backup-simplify]: Simplify (log -1) into (log -1) 8.340 * [taylor]: Taking taylor expansion of (log n) in k 8.340 * [taylor]: Taking taylor expansion of n in k 8.340 * [backup-simplify]: Simplify n into n 8.340 * [backup-simplify]: Simplify (log n) into (log n) 8.340 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.340 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.340 * [taylor]: Taking taylor expansion of k in k 8.340 * [backup-simplify]: Simplify 0 into 0 8.340 * [backup-simplify]: Simplify 1 into 1 8.341 * [backup-simplify]: Simplify (/ 1 1) into 1 8.341 * [taylor]: Taking taylor expansion of 1.0 in k 8.341 * [backup-simplify]: Simplify 1.0 into 1.0 8.341 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.341 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 8.342 * [backup-simplify]: Simplify (+ 1 0) into 1 8.342 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 8.343 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 8.344 * [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)))) 8.344 * [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)))) 8.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.346 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.347 * [backup-simplify]: Simplify (+ 0 0) into 0 8.347 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 8.348 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.349 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 8.350 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.350 * [taylor]: Taking taylor expansion of 0 in k 8.350 * [backup-simplify]: Simplify 0 into 0 8.350 * [backup-simplify]: Simplify 0 into 0 8.350 * [backup-simplify]: Simplify 0 into 0 8.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.354 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.355 * [backup-simplify]: Simplify (+ 0 0) into 0 8.356 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 8.357 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.357 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 8.359 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.359 * [taylor]: Taking taylor expansion of 0 in k 8.359 * [backup-simplify]: Simplify 0 into 0 8.359 * [backup-simplify]: Simplify 0 into 0 8.359 * [backup-simplify]: Simplify 0 into 0 8.359 * [backup-simplify]: Simplify 0 into 0 8.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.365 * [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 8.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.366 * [backup-simplify]: Simplify (+ 0 0) into 0 8.367 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 8.368 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.369 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 8.371 * [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 8.371 * [taylor]: Taking taylor expansion of 0 in k 8.372 * [backup-simplify]: Simplify 0 into 0 8.372 * [backup-simplify]: Simplify 0 into 0 8.372 * [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)))))) 8.372 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 8.373 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 8.373 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 8.373 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.373 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.373 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.373 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.373 * [taylor]: Taking taylor expansion of 0.5 in k 8.373 * [backup-simplify]: Simplify 0.5 into 0.5 8.373 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.373 * [taylor]: Taking taylor expansion of 1.0 in k 8.373 * [backup-simplify]: Simplify 1.0 into 1.0 8.373 * [taylor]: Taking taylor expansion of k in k 8.373 * [backup-simplify]: Simplify 0 into 0 8.373 * [backup-simplify]: Simplify 1 into 1 8.373 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.373 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.373 * [taylor]: Taking taylor expansion of 2.0 in k 8.373 * [backup-simplify]: Simplify 2.0 into 2.0 8.373 * [taylor]: Taking taylor expansion of PI in k 8.374 * [backup-simplify]: Simplify PI into PI 8.374 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.375 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.375 * [backup-simplify]: Simplify (- 0) into 0 8.376 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.376 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.378 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.380 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.380 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.380 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.380 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.380 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.380 * [taylor]: Taking taylor expansion of 0.5 in k 8.380 * [backup-simplify]: Simplify 0.5 into 0.5 8.381 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.381 * [taylor]: Taking taylor expansion of 1.0 in k 8.381 * [backup-simplify]: Simplify 1.0 into 1.0 8.381 * [taylor]: Taking taylor expansion of k in k 8.381 * [backup-simplify]: Simplify 0 into 0 8.381 * [backup-simplify]: Simplify 1 into 1 8.381 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.381 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.381 * [taylor]: Taking taylor expansion of 2.0 in k 8.381 * [backup-simplify]: Simplify 2.0 into 2.0 8.381 * [taylor]: Taking taylor expansion of PI in k 8.381 * [backup-simplify]: Simplify PI into PI 8.381 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.382 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.383 * [backup-simplify]: Simplify (- 0) into 0 8.383 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.383 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.385 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.388 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.389 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 8.390 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.392 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.392 * [backup-simplify]: Simplify (- 1) into -1 8.393 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.394 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 8.398 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 8.412 * [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))) 8.425 * [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))) 8.426 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.430 * [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 8.430 * [backup-simplify]: Simplify (- 0) into 0 8.430 * [backup-simplify]: Simplify (+ 0 0) into 0 8.432 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 8.433 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 8.444 * [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))) 8.449 * [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))) 8.459 * [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)))) 8.459 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 8.459 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 8.459 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.459 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.459 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.459 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.459 * [taylor]: Taking taylor expansion of 0.5 in k 8.459 * [backup-simplify]: Simplify 0.5 into 0.5 8.459 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.459 * [taylor]: Taking taylor expansion of 1.0 in k 8.459 * [backup-simplify]: Simplify 1.0 into 1.0 8.459 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.459 * [taylor]: Taking taylor expansion of k in k 8.459 * [backup-simplify]: Simplify 0 into 0 8.459 * [backup-simplify]: Simplify 1 into 1 8.460 * [backup-simplify]: Simplify (/ 1 1) into 1 8.460 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.460 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.460 * [taylor]: Taking taylor expansion of 2.0 in k 8.460 * [backup-simplify]: Simplify 2.0 into 2.0 8.460 * [taylor]: Taking taylor expansion of PI in k 8.460 * [backup-simplify]: Simplify PI into PI 8.460 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.461 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.461 * [backup-simplify]: Simplify (- 1) into -1 8.461 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.461 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.462 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.463 * [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))))) 8.463 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.463 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.463 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.463 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.463 * [taylor]: Taking taylor expansion of 0.5 in k 8.463 * [backup-simplify]: Simplify 0.5 into 0.5 8.463 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.463 * [taylor]: Taking taylor expansion of 1.0 in k 8.463 * [backup-simplify]: Simplify 1.0 into 1.0 8.463 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.463 * [taylor]: Taking taylor expansion of k in k 8.463 * [backup-simplify]: Simplify 0 into 0 8.463 * [backup-simplify]: Simplify 1 into 1 8.464 * [backup-simplify]: Simplify (/ 1 1) into 1 8.464 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.464 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.464 * [taylor]: Taking taylor expansion of 2.0 in k 8.464 * [backup-simplify]: Simplify 2.0 into 2.0 8.464 * [taylor]: Taking taylor expansion of PI in k 8.464 * [backup-simplify]: Simplify PI into PI 8.464 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.465 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.465 * [backup-simplify]: Simplify (- 1) into -1 8.465 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.466 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.467 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.468 * [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))))) 8.468 * [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))))) 8.468 * [backup-simplify]: Simplify 0 into 0 8.468 * [backup-simplify]: Simplify 0 into 0 8.468 * [backup-simplify]: Simplify 0 into 0 8.468 * [backup-simplify]: Simplify 0 into 0 8.468 * [backup-simplify]: Simplify 0 into 0 8.469 * [backup-simplify]: Simplify 0 into 0 8.469 * [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))))) 8.470 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 8.470 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 8.470 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.470 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.470 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.470 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.470 * [taylor]: Taking taylor expansion of 0.5 in k 8.470 * [backup-simplify]: Simplify 0.5 into 0.5 8.470 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.470 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.470 * [taylor]: Taking taylor expansion of k in k 8.470 * [backup-simplify]: Simplify 0 into 0 8.470 * [backup-simplify]: Simplify 1 into 1 8.470 * [backup-simplify]: Simplify (/ 1 1) into 1 8.470 * [taylor]: Taking taylor expansion of 1.0 in k 8.470 * [backup-simplify]: Simplify 1.0 into 1.0 8.470 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.470 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.470 * [taylor]: Taking taylor expansion of 2.0 in k 8.470 * [backup-simplify]: Simplify 2.0 into 2.0 8.470 * [taylor]: Taking taylor expansion of PI in k 8.470 * [backup-simplify]: Simplify PI into PI 8.471 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.471 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.472 * [backup-simplify]: Simplify (+ 1 0) into 1 8.472 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.473 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.474 * [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)))) 8.474 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.474 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.474 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.474 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.474 * [taylor]: Taking taylor expansion of 0.5 in k 8.474 * [backup-simplify]: Simplify 0.5 into 0.5 8.474 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.474 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.474 * [taylor]: Taking taylor expansion of k in k 8.474 * [backup-simplify]: Simplify 0 into 0 8.474 * [backup-simplify]: Simplify 1 into 1 8.474 * [backup-simplify]: Simplify (/ 1 1) into 1 8.474 * [taylor]: Taking taylor expansion of 1.0 in k 8.474 * [backup-simplify]: Simplify 1.0 into 1.0 8.474 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.474 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.474 * [taylor]: Taking taylor expansion of 2.0 in k 8.474 * [backup-simplify]: Simplify 2.0 into 2.0 8.474 * [taylor]: Taking taylor expansion of PI in k 8.474 * [backup-simplify]: Simplify PI into PI 8.475 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.475 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.476 * [backup-simplify]: Simplify (+ 1 0) into 1 8.476 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.477 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.478 * [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)))) 8.479 * [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)))) 8.479 * [backup-simplify]: Simplify 0 into 0 8.479 * [backup-simplify]: Simplify 0 into 0 8.479 * [backup-simplify]: Simplify 0 into 0 8.479 * [backup-simplify]: Simplify 0 into 0 8.479 * [backup-simplify]: Simplify 0 into 0 8.479 * [backup-simplify]: Simplify 0 into 0 8.480 * [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))))) 8.480 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 8.480 * [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))))) 8.480 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 8.480 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 8.481 * [taylor]: Taking taylor expansion of 1.0 in k 8.481 * [backup-simplify]: Simplify 1.0 into 1.0 8.481 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 8.481 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.481 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.481 * [taylor]: Taking taylor expansion of k in k 8.481 * [backup-simplify]: Simplify 0 into 0 8.481 * [backup-simplify]: Simplify 1 into 1 8.481 * [backup-simplify]: Simplify (/ 1 1) into 1 8.481 * [backup-simplify]: Simplify (sqrt 0) into 0 8.482 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.482 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.482 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.482 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.482 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.482 * [taylor]: Taking taylor expansion of 0.5 in k 8.482 * [backup-simplify]: Simplify 0.5 into 0.5 8.482 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.482 * [taylor]: Taking taylor expansion of 1.0 in k 8.482 * [backup-simplify]: Simplify 1.0 into 1.0 8.482 * [taylor]: Taking taylor expansion of k in k 8.482 * [backup-simplify]: Simplify 0 into 0 8.482 * [backup-simplify]: Simplify 1 into 1 8.482 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.482 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.482 * [taylor]: Taking taylor expansion of 2.0 in k 8.482 * [backup-simplify]: Simplify 2.0 into 2.0 8.482 * [taylor]: Taking taylor expansion of PI in k 8.482 * [backup-simplify]: Simplify PI into PI 8.483 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.483 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.484 * [backup-simplify]: Simplify (- 0) into 0 8.484 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.484 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.485 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.487 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.487 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 8.487 * [taylor]: Taking taylor expansion of 1.0 in k 8.487 * [backup-simplify]: Simplify 1.0 into 1.0 8.487 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 8.487 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.487 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.487 * [taylor]: Taking taylor expansion of k in k 8.487 * [backup-simplify]: Simplify 0 into 0 8.487 * [backup-simplify]: Simplify 1 into 1 8.487 * [backup-simplify]: Simplify (/ 1 1) into 1 8.488 * [backup-simplify]: Simplify (sqrt 0) into 0 8.488 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.488 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.488 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.488 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.488 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.489 * [taylor]: Taking taylor expansion of 0.5 in k 8.489 * [backup-simplify]: Simplify 0.5 into 0.5 8.489 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.489 * [taylor]: Taking taylor expansion of 1.0 in k 8.489 * [backup-simplify]: Simplify 1.0 into 1.0 8.489 * [taylor]: Taking taylor expansion of k in k 8.489 * [backup-simplify]: Simplify 0 into 0 8.489 * [backup-simplify]: Simplify 1 into 1 8.489 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.489 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.489 * [taylor]: Taking taylor expansion of 2.0 in k 8.489 * [backup-simplify]: Simplify 2.0 into 2.0 8.489 * [taylor]: Taking taylor expansion of PI in k 8.489 * [backup-simplify]: Simplify PI into PI 8.489 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.490 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.490 * [backup-simplify]: Simplify (- 0) into 0 8.490 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.491 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.492 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.493 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.494 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 PI) 0.5)) into 0 8.494 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.494 * [backup-simplify]: Simplify 0 into 0 8.495 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.497 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.497 * [backup-simplify]: Simplify (- 1) into -1 8.497 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.499 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 8.502 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 8.517 * [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))) 8.525 * [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))) 8.535 * [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))) 8.545 * [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))) 8.546 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.548 * [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 8.548 * [backup-simplify]: Simplify (- 0) into 0 8.549 * [backup-simplify]: Simplify (+ 0 0) into 0 8.549 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 8.550 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 8.559 * [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))) 8.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.561 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.574 * [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))))) 8.597 * [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))))) 8.617 * [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))))) 8.619 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.625 * [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 8.625 * [backup-simplify]: Simplify (- 0) into 0 8.626 * [backup-simplify]: Simplify (+ 0 0) into 0 8.627 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 8.630 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 8.649 * [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))) 8.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.652 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.677 * [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))))))) 8.710 * [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)))))))) 8.733 * [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)))))))) 8.788 * [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))))))))))))) 8.789 * [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)))))) 8.789 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 8.789 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.789 * [taylor]: Taking taylor expansion of 1.0 in k 8.789 * [backup-simplify]: Simplify 1.0 into 1.0 8.789 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.789 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.789 * [taylor]: Taking taylor expansion of k in k 8.789 * [backup-simplify]: Simplify 0 into 0 8.789 * [backup-simplify]: Simplify 1 into 1 8.789 * [backup-simplify]: Simplify (sqrt 0) into 0 8.790 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.790 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.790 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.790 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.790 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.790 * [taylor]: Taking taylor expansion of 0.5 in k 8.790 * [backup-simplify]: Simplify 0.5 into 0.5 8.790 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.790 * [taylor]: Taking taylor expansion of 1.0 in k 8.791 * [backup-simplify]: Simplify 1.0 into 1.0 8.791 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.791 * [taylor]: Taking taylor expansion of k in k 8.791 * [backup-simplify]: Simplify 0 into 0 8.791 * [backup-simplify]: Simplify 1 into 1 8.791 * [backup-simplify]: Simplify (/ 1 1) into 1 8.791 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.791 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.791 * [taylor]: Taking taylor expansion of 2.0 in k 8.791 * [backup-simplify]: Simplify 2.0 into 2.0 8.791 * [taylor]: Taking taylor expansion of PI in k 8.791 * [backup-simplify]: Simplify PI into PI 8.791 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.792 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.792 * [backup-simplify]: Simplify (- 1) into -1 8.792 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.793 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.794 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.794 * [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))))) 8.794 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.794 * [taylor]: Taking taylor expansion of 1.0 in k 8.794 * [backup-simplify]: Simplify 1.0 into 1.0 8.794 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.794 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.795 * [taylor]: Taking taylor expansion of k in k 8.795 * [backup-simplify]: Simplify 0 into 0 8.795 * [backup-simplify]: Simplify 1 into 1 8.795 * [backup-simplify]: Simplify (sqrt 0) into 0 8.796 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.796 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.796 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.796 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.796 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.796 * [taylor]: Taking taylor expansion of 0.5 in k 8.796 * [backup-simplify]: Simplify 0.5 into 0.5 8.796 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.796 * [taylor]: Taking taylor expansion of 1.0 in k 8.796 * [backup-simplify]: Simplify 1.0 into 1.0 8.796 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.796 * [taylor]: Taking taylor expansion of k in k 8.796 * [backup-simplify]: Simplify 0 into 0 8.796 * [backup-simplify]: Simplify 1 into 1 8.796 * [backup-simplify]: Simplify (/ 1 1) into 1 8.796 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.796 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.796 * [taylor]: Taking taylor expansion of 2.0 in k 8.796 * [backup-simplify]: Simplify 2.0 into 2.0 8.796 * [taylor]: Taking taylor expansion of PI in k 8.796 * [backup-simplify]: Simplify PI into PI 8.796 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.797 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.797 * [backup-simplify]: Simplify (- 1) into -1 8.798 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.798 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.799 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.800 * [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))))) 8.800 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 8.801 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.801 * [backup-simplify]: Simplify 0 into 0 8.802 * [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))))))) 8.803 * [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))))))) 8.803 * [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))))))) 8.805 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.806 * [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))))))) 8.808 * [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))))))) 8.809 * [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))))))) 8.811 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.812 * [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))))))) 8.815 * [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))))))) 8.816 * [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))))))) 8.818 * [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)))))))) 8.819 * [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)))) 8.819 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 8.819 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.819 * [taylor]: Taking taylor expansion of 1.0 in k 8.819 * [backup-simplify]: Simplify 1.0 into 1.0 8.819 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.819 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.819 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.819 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.819 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.819 * [taylor]: Taking taylor expansion of 0.5 in k 8.819 * [backup-simplify]: Simplify 0.5 into 0.5 8.819 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.819 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.819 * [taylor]: Taking taylor expansion of k in k 8.819 * [backup-simplify]: Simplify 0 into 0 8.819 * [backup-simplify]: Simplify 1 into 1 8.820 * [backup-simplify]: Simplify (/ 1 1) into 1 8.820 * [taylor]: Taking taylor expansion of 1.0 in k 8.820 * [backup-simplify]: Simplify 1.0 into 1.0 8.820 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.820 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.820 * [taylor]: Taking taylor expansion of 2.0 in k 8.820 * [backup-simplify]: Simplify 2.0 into 2.0 8.820 * [taylor]: Taking taylor expansion of PI in k 8.820 * [backup-simplify]: Simplify PI into PI 8.820 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.821 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.821 * [backup-simplify]: Simplify (+ 1 0) into 1 8.821 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.822 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.823 * [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)))) 8.823 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.823 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.823 * [taylor]: Taking taylor expansion of -1 in k 8.823 * [backup-simplify]: Simplify -1 into -1 8.823 * [taylor]: Taking taylor expansion of k in k 8.823 * [backup-simplify]: Simplify 0 into 0 8.823 * [backup-simplify]: Simplify 1 into 1 8.823 * [backup-simplify]: Simplify (/ -1 1) into -1 8.824 * [backup-simplify]: Simplify (sqrt 0) into 0 8.824 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.825 * [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))))) 8.825 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.825 * [taylor]: Taking taylor expansion of 1.0 in k 8.825 * [backup-simplify]: Simplify 1.0 into 1.0 8.825 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.825 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.825 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.825 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.825 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.825 * [taylor]: Taking taylor expansion of 0.5 in k 8.825 * [backup-simplify]: Simplify 0.5 into 0.5 8.825 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.825 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.825 * [taylor]: Taking taylor expansion of k in k 8.825 * [backup-simplify]: Simplify 0 into 0 8.825 * [backup-simplify]: Simplify 1 into 1 8.826 * [backup-simplify]: Simplify (/ 1 1) into 1 8.826 * [taylor]: Taking taylor expansion of 1.0 in k 8.826 * [backup-simplify]: Simplify 1.0 into 1.0 8.826 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.826 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.826 * [taylor]: Taking taylor expansion of 2.0 in k 8.826 * [backup-simplify]: Simplify 2.0 into 2.0 8.826 * [taylor]: Taking taylor expansion of PI in k 8.826 * [backup-simplify]: Simplify PI into PI 8.826 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.827 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.827 * [backup-simplify]: Simplify (+ 1 0) into 1 8.827 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.828 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.829 * [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)))) 8.829 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.829 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.829 * [taylor]: Taking taylor expansion of -1 in k 8.829 * [backup-simplify]: Simplify -1 into -1 8.829 * [taylor]: Taking taylor expansion of k in k 8.829 * [backup-simplify]: Simplify 0 into 0 8.829 * [backup-simplify]: Simplify 1 into 1 8.829 * [backup-simplify]: Simplify (/ -1 1) into -1 8.830 * [backup-simplify]: Simplify (sqrt 0) into 0 8.830 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.831 * [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))))) 8.832 * [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))))) 8.833 * [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))))) 8.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.835 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.836 * [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)))))) 8.838 * [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)))))) 8.838 * [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)))))) 8.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.842 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.844 * [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)))))) 8.846 * [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)))))) 8.847 * [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)))))) 8.849 * [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))))))))))) 8.849 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 8.850 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 8.850 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.850 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.850 * [taylor]: Taking taylor expansion of 1.0 in k 8.850 * [backup-simplify]: Simplify 1.0 into 1.0 8.850 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.850 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.850 * [taylor]: Taking taylor expansion of k in k 8.850 * [backup-simplify]: Simplify 0 into 0 8.850 * [backup-simplify]: Simplify 1 into 1 8.850 * [backup-simplify]: Simplify (/ 1 1) into 1 8.850 * [backup-simplify]: Simplify (sqrt 0) into 0 8.851 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.851 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.851 * [taylor]: Taking taylor expansion of 1.0 in k 8.851 * [backup-simplify]: Simplify 1.0 into 1.0 8.851 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.851 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.851 * [taylor]: Taking taylor expansion of k in k 8.851 * [backup-simplify]: Simplify 0 into 0 8.851 * [backup-simplify]: Simplify 1 into 1 8.851 * [backup-simplify]: Simplify (/ 1 1) into 1 8.852 * [backup-simplify]: Simplify (sqrt 0) into 0 8.852 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.853 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.853 * [backup-simplify]: Simplify 0 into 0 8.854 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.854 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.860 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.861 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.861 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.864 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.865 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.866 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.867 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 8.867 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 8.867 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.867 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.867 * [taylor]: Taking taylor expansion of 1.0 in k 8.867 * [backup-simplify]: Simplify 1.0 into 1.0 8.867 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.867 * [taylor]: Taking taylor expansion of k in k 8.867 * [backup-simplify]: Simplify 0 into 0 8.867 * [backup-simplify]: Simplify 1 into 1 8.868 * [backup-simplify]: Simplify (sqrt 0) into 0 8.869 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.869 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.869 * [taylor]: Taking taylor expansion of 1.0 in k 8.869 * [backup-simplify]: Simplify 1.0 into 1.0 8.869 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.869 * [taylor]: Taking taylor expansion of k in k 8.869 * [backup-simplify]: Simplify 0 into 0 8.869 * [backup-simplify]: Simplify 1 into 1 8.869 * [backup-simplify]: Simplify (sqrt 0) into 0 8.871 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.871 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.871 * [backup-simplify]: Simplify 0 into 0 8.873 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.873 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.876 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.878 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.879 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.883 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.885 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.885 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.887 * [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)))))))) 8.887 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 8.887 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.887 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.887 * [taylor]: Taking taylor expansion of 1.0 in k 8.887 * [backup-simplify]: Simplify 1.0 into 1.0 8.887 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.887 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.887 * [taylor]: Taking taylor expansion of -1 in k 8.887 * [backup-simplify]: Simplify -1 into -1 8.887 * [taylor]: Taking taylor expansion of k in k 8.888 * [backup-simplify]: Simplify 0 into 0 8.888 * [backup-simplify]: Simplify 1 into 1 8.888 * [backup-simplify]: Simplify (/ -1 1) into -1 8.888 * [backup-simplify]: Simplify (sqrt 0) into 0 8.890 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.890 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.891 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.891 * [taylor]: Taking taylor expansion of 1.0 in k 8.891 * [backup-simplify]: Simplify 1.0 into 1.0 8.891 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.891 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.891 * [taylor]: Taking taylor expansion of -1 in k 8.891 * [backup-simplify]: Simplify -1 into -1 8.891 * [taylor]: Taking taylor expansion of k in k 8.891 * [backup-simplify]: Simplify 0 into 0 8.891 * [backup-simplify]: Simplify 1 into 1 8.891 * [backup-simplify]: Simplify (/ -1 1) into -1 8.892 * [backup-simplify]: Simplify (sqrt 0) into 0 8.893 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.893 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.893 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.896 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.897 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.898 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.900 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.903 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.903 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.904 * [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))))) 8.904 * * * [progress]: simplifying candidates 8.907 * [simplify]: Simplifying: (* (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)) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) 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1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 8.911 * * [simplify]: Extracting # 0 : cost 0 8.911 * * [simplify]: Extracting # 1 : cost 0 8.912 * * [simplify]: Extracting # 2 : cost 0 8.912 * * [simplify]: Extracting # 3 : cost 0 8.912 * * [simplify]: Extracting # 4 : cost 0 8.913 * * [simplify]: Extracting # 5 : cost 0 8.913 * * [simplify]: Extracting # 6 : cost 0 8.914 * * [simplify]: Extracting # 7 : cost 0 8.914 * * [simplify]: Extracting # 8 : cost 0 8.915 * * [simplify]: Extracting # 9 : cost 0 8.915 * * [simplify]: Extracting # 10 : cost 0 8.916 * * [simplify]: Extracting # 11 : cost 0 8.916 * * [simplify]: Extracting # 12 : cost 0 8.917 * * [simplify]: Extracting # 13 : cost 0 8.917 * * [simplify]: Extracting # 14 : cost 0 8.918 * * [simplify]: Extracting # 15 : cost 0 8.918 * * [simplify]: Extracting # 16 : cost 0 8.918 * * [simplify]: Extracting # 17 : cost 0 8.919 * * [simplify]: Extracting # 18 : cost 0 8.919 * * [simplify]: Extracting # 19 : cost 0 8.920 * * [simplify]: iteration 0 : 325 enodes (cost 2550 ) 9.045 * * [simplify]: Extracting # 0 : cost 0 9.046 * * [simplify]: Extracting # 1 : cost 0 9.047 * * [simplify]: Extracting # 2 : cost 0 9.048 * * [simplify]: Extracting # 3 : cost 0 9.049 * * [simplify]: Extracting # 4 : cost 0 9.051 * * [simplify]: iteration 1 : 805 enodes (cost 2394 ) 9.552 * * [simplify]: Extracting # 0 : cost 0 9.555 * * [simplify]: Extracting # 1 : cost 0 9.558 * * [simplify]: Extracting # 2 : cost 0 9.561 * * [simplify]: Extracting # 3 : cost 0 9.567 * * [simplify]: Extracting # 4 : cost 0 9.573 * * [simplify]: iteration 2 : 2331 enodes (cost 2288 ) 10.459 * * [simplify]: Extracting # 0 : cost 0 10.465 * * [simplify]: Extracting # 1 : cost 0 10.478 * * [simplify]: Extracting # 2 : cost 0 10.485 * * [simplify]: Extracting # 3 : cost 0 10.491 * * [simplify]: Extracting # 4 : cost 0 10.498 * * [simplify]: iteration done: 5001 enodes (cost 2206 ) 10.499 * [simplify]: Simplified to: (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 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2.0))) (* 2.0 PI) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (* 2.0 PI) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (/ (pow 1.0 3) (* (sqrt k) k))) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (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) (+ (pow n 0.5) (* (pow (pow n 1.0) 0.5) (- (* 0.125 (* (pow k 2) (pow (log n) 2))) (* 0.5 (* k (log n)))))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (exp 0.5) (* (- 1.0 k) (+ 0 (log n)))) (+ (pow (* 2.0 PI) 0.5) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (- (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (- (+ (* (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (pow k 2) (* (pow k 2) (log (* 2.0 PI))))) (+ (* (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- k (* 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))) +nan.0))))) (- (+ (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) k) (- (/ +nan.0 k) +nan.0)) (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (/ (pow k 3) +nan.0)))) (- (+ (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) k) (- (/ +nan.0 k) +nan.0)) (* +nan.0 (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))))) (- (+ (* k (- +nan.0 (* +nan.0 k))) +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))) 10.500 * * * [progress]: adding candidates to table 11.133 * * [progress]: iteration 3 / 4 11.133 * * * [progress]: picking best candidate 11.151 * * * * [pick]: Picked # 11.151 * * * [progress]: localizing error 11.188 * * * [progress]: generating rewritten candidates 11.188 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 11.205 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 11.215 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 11.285 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 11.299 * * * [progress]: generating series expansions 11.299 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 11.299 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 11.299 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 11.299 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 11.299 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 11.299 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 11.299 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.299 * [taylor]: Taking taylor expansion of 0.5 in k 11.299 * [backup-simplify]: Simplify 0.5 into 0.5 11.299 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.299 * [taylor]: Taking taylor expansion of 1.0 in k 11.300 * [backup-simplify]: Simplify 1.0 into 1.0 11.300 * [taylor]: Taking taylor expansion of k in k 11.300 * [backup-simplify]: Simplify 0 into 0 11.300 * [backup-simplify]: Simplify 1 into 1 11.300 * [taylor]: Taking taylor expansion of (log n) in k 11.300 * [taylor]: Taking taylor expansion of n in k 11.300 * [backup-simplify]: Simplify n into n 11.300 * [backup-simplify]: Simplify (log n) into (log n) 11.300 * [backup-simplify]: Simplify (- 0) into 0 11.300 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.301 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.301 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 11.301 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.301 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.301 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.301 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.301 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.301 * [taylor]: Taking taylor expansion of 0.5 in n 11.301 * [backup-simplify]: Simplify 0.5 into 0.5 11.301 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.301 * [taylor]: Taking taylor expansion of 1.0 in n 11.301 * [backup-simplify]: Simplify 1.0 into 1.0 11.301 * [taylor]: Taking taylor expansion of k in n 11.301 * [backup-simplify]: Simplify k into k 11.301 * [taylor]: Taking taylor expansion of (log n) in n 11.301 * [taylor]: Taking taylor expansion of n in n 11.301 * [backup-simplify]: Simplify 0 into 0 11.301 * [backup-simplify]: Simplify 1 into 1 11.301 * [backup-simplify]: Simplify (log 1) into 0 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 (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.302 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.302 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.302 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.302 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.302 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.302 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.302 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.302 * [taylor]: Taking taylor expansion of 0.5 in n 11.302 * [backup-simplify]: Simplify 0.5 into 0.5 11.302 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.302 * [taylor]: Taking taylor expansion of 1.0 in n 11.302 * [backup-simplify]: Simplify 1.0 into 1.0 11.302 * [taylor]: Taking taylor expansion of k in n 11.302 * [backup-simplify]: Simplify k into k 11.302 * [taylor]: Taking taylor expansion of (log n) in n 11.302 * [taylor]: Taking taylor expansion of n in n 11.302 * [backup-simplify]: Simplify 0 into 0 11.302 * [backup-simplify]: Simplify 1 into 1 11.303 * [backup-simplify]: Simplify (log 1) into 0 11.303 * [backup-simplify]: Simplify (- k) into (- k) 11.303 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.303 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.303 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.303 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.303 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.303 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 11.303 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 11.303 * [taylor]: Taking taylor expansion of 0.5 in k 11.303 * [backup-simplify]: Simplify 0.5 into 0.5 11.303 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 11.303 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.303 * [taylor]: Taking taylor expansion of 1.0 in k 11.303 * [backup-simplify]: Simplify 1.0 into 1.0 11.303 * [taylor]: Taking taylor expansion of k in k 11.303 * [backup-simplify]: Simplify 0 into 0 11.303 * [backup-simplify]: Simplify 1 into 1 11.303 * [taylor]: Taking taylor expansion of (log n) in k 11.303 * [taylor]: Taking taylor expansion of n in k 11.303 * [backup-simplify]: Simplify n into n 11.303 * [backup-simplify]: Simplify (log n) into (log n) 11.304 * [backup-simplify]: Simplify (- 0) into 0 11.304 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.304 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.304 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 11.304 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.304 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 11.305 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.305 * [backup-simplify]: Simplify (- 0) into 0 11.306 * [backup-simplify]: Simplify (+ 0 0) into 0 11.306 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 11.306 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.306 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 11.307 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.307 * [taylor]: Taking taylor expansion of 0 in k 11.307 * [backup-simplify]: Simplify 0 into 0 11.307 * [backup-simplify]: Simplify 0 into 0 11.308 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 11.308 * [backup-simplify]: Simplify (- 1) into -1 11.308 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.308 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 11.309 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 11.309 * [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))) 11.309 * [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))) 11.315 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.315 * [backup-simplify]: Simplify (- 0) into 0 11.315 * [backup-simplify]: Simplify (+ 0 0) into 0 11.316 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 11.316 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.317 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 11.317 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.317 * [taylor]: Taking taylor expansion of 0 in k 11.318 * [backup-simplify]: Simplify 0 into 0 11.318 * [backup-simplify]: Simplify 0 into 0 11.318 * [backup-simplify]: Simplify 0 into 0 11.319 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 11.319 * [backup-simplify]: Simplify (- 0) into 0 11.319 * [backup-simplify]: Simplify (+ 0 0) into 0 11.320 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 11.320 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 11.321 * [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))) 11.321 * [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))) 11.322 * [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)))) 11.322 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 11.322 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 11.322 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 11.322 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 11.322 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 11.322 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.322 * [taylor]: Taking taylor expansion of 0.5 in k 11.322 * [backup-simplify]: Simplify 0.5 into 0.5 11.322 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.322 * [taylor]: Taking taylor expansion of 1.0 in k 11.322 * [backup-simplify]: Simplify 1.0 into 1.0 11.322 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.322 * [taylor]: Taking taylor expansion of k in k 11.322 * [backup-simplify]: Simplify 0 into 0 11.322 * [backup-simplify]: Simplify 1 into 1 11.323 * [backup-simplify]: Simplify (/ 1 1) into 1 11.323 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 11.323 * [taylor]: Taking taylor expansion of (/ 1 n) in k 11.323 * [taylor]: Taking taylor expansion of n in k 11.323 * [backup-simplify]: Simplify n into n 11.323 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.323 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 11.323 * [backup-simplify]: Simplify (- 1) into -1 11.323 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.324 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.324 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 11.324 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 11.324 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.324 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.324 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.324 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.324 * [taylor]: Taking taylor expansion of 0.5 in n 11.324 * [backup-simplify]: Simplify 0.5 into 0.5 11.324 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.324 * [taylor]: Taking taylor expansion of 1.0 in n 11.324 * [backup-simplify]: Simplify 1.0 into 1.0 11.324 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.324 * [taylor]: Taking taylor expansion of k in n 11.324 * [backup-simplify]: Simplify k into k 11.324 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.324 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.324 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.324 * [taylor]: Taking taylor expansion of n in n 11.324 * [backup-simplify]: Simplify 0 into 0 11.324 * [backup-simplify]: Simplify 1 into 1 11.324 * [backup-simplify]: Simplify (/ 1 1) into 1 11.325 * [backup-simplify]: Simplify (log 1) into 0 11.325 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.325 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.325 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.325 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.325 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 11.325 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.325 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.325 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.325 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.325 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.325 * [taylor]: Taking taylor expansion of 0.5 in n 11.325 * [backup-simplify]: Simplify 0.5 into 0.5 11.325 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.325 * [taylor]: Taking taylor expansion of 1.0 in n 11.326 * [backup-simplify]: Simplify 1.0 into 1.0 11.326 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.326 * [taylor]: Taking taylor expansion of k in n 11.326 * [backup-simplify]: Simplify k into k 11.326 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.326 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.326 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.326 * [taylor]: Taking taylor expansion of n in n 11.326 * [backup-simplify]: Simplify 0 into 0 11.326 * [backup-simplify]: Simplify 1 into 1 11.326 * [backup-simplify]: Simplify (/ 1 1) into 1 11.326 * [backup-simplify]: Simplify (log 1) into 0 11.326 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.326 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.326 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.327 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.327 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 11.327 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.327 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 11.327 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 11.327 * [taylor]: Taking taylor expansion of -0.5 in k 11.327 * [backup-simplify]: Simplify -0.5 into -0.5 11.327 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 11.327 * [taylor]: Taking taylor expansion of (log n) in k 11.327 * [taylor]: Taking taylor expansion of n in k 11.327 * [backup-simplify]: Simplify n into n 11.327 * [backup-simplify]: Simplify (log n) into (log n) 11.327 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.327 * [taylor]: Taking taylor expansion of 1.0 in k 11.327 * [backup-simplify]: Simplify 1.0 into 1.0 11.327 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.327 * [taylor]: Taking taylor expansion of k in k 11.327 * [backup-simplify]: Simplify 0 into 0 11.327 * [backup-simplify]: Simplify 1 into 1 11.328 * [backup-simplify]: Simplify (/ 1 1) into 1 11.328 * [backup-simplify]: Simplify (- 1) into -1 11.328 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.328 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 11.328 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 11.328 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.328 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.330 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.330 * [backup-simplify]: Simplify (- 0) into 0 11.331 * [backup-simplify]: Simplify (+ 0 0) into 0 11.331 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 11.332 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.332 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 11.333 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.333 * [taylor]: Taking taylor expansion of 0 in k 11.333 * [backup-simplify]: Simplify 0 into 0 11.333 * [backup-simplify]: Simplify 0 into 0 11.333 * [backup-simplify]: Simplify 0 into 0 11.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.337 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.338 * [backup-simplify]: Simplify (- 0) into 0 11.338 * [backup-simplify]: Simplify (+ 0 0) into 0 11.339 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 11.340 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.340 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 11.342 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.342 * [taylor]: Taking taylor expansion of 0 in k 11.342 * [backup-simplify]: Simplify 0 into 0 11.342 * [backup-simplify]: Simplify 0 into 0 11.342 * [backup-simplify]: Simplify 0 into 0 11.342 * [backup-simplify]: Simplify 0 into 0 11.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.349 * [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 11.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.350 * [backup-simplify]: Simplify (- 0) into 0 11.350 * [backup-simplify]: Simplify (+ 0 0) into 0 11.352 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 11.352 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.353 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 11.355 * [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 11.355 * [taylor]: Taking taylor expansion of 0 in k 11.355 * [backup-simplify]: Simplify 0 into 0 11.355 * [backup-simplify]: Simplify 0 into 0 11.355 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 11.356 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 11.356 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 11.356 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 11.356 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 11.356 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 11.356 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.356 * [taylor]: Taking taylor expansion of 0.5 in k 11.356 * [backup-simplify]: Simplify 0.5 into 0.5 11.356 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.356 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.356 * [taylor]: Taking taylor expansion of k in k 11.356 * [backup-simplify]: Simplify 0 into 0 11.356 * [backup-simplify]: Simplify 1 into 1 11.356 * [backup-simplify]: Simplify (/ 1 1) into 1 11.356 * [taylor]: Taking taylor expansion of 1.0 in k 11.356 * [backup-simplify]: Simplify 1.0 into 1.0 11.357 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 11.357 * [taylor]: Taking taylor expansion of (/ -1 n) in k 11.357 * [taylor]: Taking taylor expansion of -1 in k 11.357 * [backup-simplify]: Simplify -1 into -1 11.357 * [taylor]: Taking taylor expansion of n in k 11.357 * [backup-simplify]: Simplify n into n 11.357 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 11.357 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 11.357 * [backup-simplify]: Simplify (+ 1 0) into 1 11.358 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.358 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 11.358 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 11.358 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.358 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 11.358 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 11.358 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.358 * [taylor]: Taking taylor expansion of 0.5 in n 11.358 * [backup-simplify]: Simplify 0.5 into 0.5 11.358 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.358 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.358 * [taylor]: Taking taylor expansion of k in n 11.358 * [backup-simplify]: Simplify k into k 11.359 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.359 * [taylor]: Taking taylor expansion of 1.0 in n 11.359 * [backup-simplify]: Simplify 1.0 into 1.0 11.359 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 11.359 * [taylor]: Taking taylor expansion of (/ -1 n) in n 11.359 * [taylor]: Taking taylor expansion of -1 in n 11.359 * [backup-simplify]: Simplify -1 into -1 11.359 * [taylor]: Taking taylor expansion of n in n 11.359 * [backup-simplify]: Simplify 0 into 0 11.359 * [backup-simplify]: Simplify 1 into 1 11.359 * [backup-simplify]: Simplify (/ -1 1) into -1 11.360 * [backup-simplify]: Simplify (log -1) into (log -1) 11.360 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.360 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.361 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.361 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 11.362 * [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)))) 11.362 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.362 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 11.362 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 11.362 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.362 * [taylor]: Taking taylor expansion of 0.5 in n 11.362 * [backup-simplify]: Simplify 0.5 into 0.5 11.362 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.362 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.362 * [taylor]: Taking taylor expansion of k in n 11.362 * [backup-simplify]: Simplify k into k 11.362 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 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 (log (/ -1 n)) in n 11.362 * [taylor]: Taking taylor expansion of (/ -1 n) in n 11.363 * [taylor]: Taking taylor expansion of -1 in n 11.363 * [backup-simplify]: Simplify -1 into -1 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 (/ -1 1) into -1 11.363 * [backup-simplify]: Simplify (log -1) into (log -1) 11.364 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.364 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.365 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.365 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 11.366 * [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)))) 11.366 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 11.366 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 11.366 * [taylor]: Taking taylor expansion of 0.5 in k 11.366 * [backup-simplify]: Simplify 0.5 into 0.5 11.366 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 11.366 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 11.366 * [taylor]: Taking taylor expansion of (log -1) in k 11.366 * [taylor]: Taking taylor expansion of -1 in k 11.366 * [backup-simplify]: Simplify -1 into -1 11.367 * [backup-simplify]: Simplify (log -1) into (log -1) 11.367 * [taylor]: Taking taylor expansion of (log n) in k 11.367 * [taylor]: Taking taylor expansion of n in k 11.367 * [backup-simplify]: Simplify n into n 11.367 * [backup-simplify]: Simplify (log n) into (log n) 11.367 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.367 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.367 * [taylor]: Taking taylor expansion of k in k 11.367 * [backup-simplify]: Simplify 0 into 0 11.367 * [backup-simplify]: Simplify 1 into 1 11.367 * [backup-simplify]: Simplify (/ 1 1) into 1 11.367 * [taylor]: Taking taylor expansion of 1.0 in k 11.367 * [backup-simplify]: Simplify 1.0 into 1.0 11.367 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.368 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 11.368 * [backup-simplify]: Simplify (+ 1 0) into 1 11.369 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 11.369 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 11.370 * [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)))) 11.370 * [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)))) 11.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.373 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 11.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.373 * [backup-simplify]: Simplify (+ 0 0) into 0 11.374 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 11.375 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.376 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 11.377 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.377 * [taylor]: Taking taylor expansion of 0 in k 11.377 * [backup-simplify]: Simplify 0 into 0 11.377 * [backup-simplify]: Simplify 0 into 0 11.377 * [backup-simplify]: Simplify 0 into 0 11.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.381 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 11.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.382 * [backup-simplify]: Simplify (+ 0 0) into 0 11.383 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 11.384 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.385 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 11.387 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.387 * [taylor]: Taking taylor expansion of 0 in k 11.387 * [backup-simplify]: Simplify 0 into 0 11.387 * [backup-simplify]: Simplify 0 into 0 11.387 * [backup-simplify]: Simplify 0 into 0 11.387 * [backup-simplify]: Simplify 0 into 0 11.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.394 * [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 11.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.395 * [backup-simplify]: Simplify (+ 0 0) into 0 11.396 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 11.397 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.398 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 11.400 * [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 11.400 * [taylor]: Taking taylor expansion of 0 in k 11.400 * [backup-simplify]: Simplify 0 into 0 11.401 * [backup-simplify]: Simplify 0 into 0 11.401 * [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)))))) 11.401 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 11.402 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 11.402 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 11.402 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.402 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.402 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.402 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.402 * [taylor]: Taking taylor expansion of 0.5 in k 11.402 * [backup-simplify]: Simplify 0.5 into 0.5 11.402 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 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 k in k 11.402 * [backup-simplify]: Simplify 0 into 0 11.402 * [backup-simplify]: Simplify 1 into 1 11.402 * [taylor]: Taking taylor expansion of (log PI) in k 11.402 * [taylor]: Taking taylor expansion of PI in k 11.402 * [backup-simplify]: Simplify PI into PI 11.403 * [backup-simplify]: Simplify (log PI) into (log PI) 11.403 * [backup-simplify]: Simplify (- 0) into 0 11.403 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.404 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.405 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.407 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.407 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.407 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.407 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.407 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.407 * [taylor]: Taking taylor expansion of 0.5 in k 11.407 * [backup-simplify]: Simplify 0.5 into 0.5 11.407 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.407 * [taylor]: Taking taylor expansion of 1.0 in k 11.407 * [backup-simplify]: Simplify 1.0 into 1.0 11.407 * [taylor]: Taking taylor expansion of k in k 11.407 * [backup-simplify]: Simplify 0 into 0 11.407 * [backup-simplify]: Simplify 1 into 1 11.407 * [taylor]: Taking taylor expansion of (log PI) in k 11.407 * [taylor]: Taking taylor expansion of PI in k 11.407 * [backup-simplify]: Simplify PI into PI 11.408 * [backup-simplify]: Simplify (log PI) into (log PI) 11.408 * [backup-simplify]: Simplify (- 0) into 0 11.409 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.409 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.410 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.412 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.413 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 11.414 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 11.415 * [backup-simplify]: Simplify (- 1) into -1 11.415 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.417 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.420 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 11.430 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 11.434 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 11.437 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 11.438 * [backup-simplify]: Simplify (- 0) into 0 11.438 * [backup-simplify]: Simplify (+ 0 0) into 0 11.439 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.441 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 11.448 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 11.451 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 11.465 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) k) (pow PI 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) 11.466 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 11.466 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 11.466 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 11.466 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 11.466 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 11.466 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.466 * [taylor]: Taking taylor expansion of 0.5 in k 11.466 * [backup-simplify]: Simplify 0.5 into 0.5 11.466 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.466 * [taylor]: Taking taylor expansion of 1.0 in k 11.466 * [backup-simplify]: Simplify 1.0 into 1.0 11.466 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.466 * [taylor]: Taking taylor expansion of k in k 11.466 * [backup-simplify]: Simplify 0 into 0 11.466 * [backup-simplify]: Simplify 1 into 1 11.466 * [backup-simplify]: Simplify (/ 1 1) into 1 11.466 * [taylor]: Taking taylor expansion of (log PI) in k 11.466 * [taylor]: Taking taylor expansion of PI in k 11.466 * [backup-simplify]: Simplify PI into PI 11.467 * [backup-simplify]: Simplify (log PI) into (log PI) 11.467 * [backup-simplify]: Simplify (- 1) into -1 11.467 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.467 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.468 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 11.468 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 11.468 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 11.468 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 11.468 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 11.468 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.468 * [taylor]: Taking taylor expansion of 0.5 in k 11.468 * [backup-simplify]: Simplify 0.5 into 0.5 11.468 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.469 * [taylor]: Taking taylor expansion of 1.0 in k 11.469 * [backup-simplify]: Simplify 1.0 into 1.0 11.469 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.469 * [taylor]: Taking taylor expansion of k in k 11.469 * [backup-simplify]: Simplify 0 into 0 11.469 * [backup-simplify]: Simplify 1 into 1 11.469 * [backup-simplify]: Simplify (/ 1 1) into 1 11.469 * [taylor]: Taking taylor expansion of (log PI) in k 11.469 * [taylor]: Taking taylor expansion of PI in k 11.469 * [backup-simplify]: Simplify PI into PI 11.469 * [backup-simplify]: Simplify (log PI) into (log PI) 11.469 * [backup-simplify]: Simplify (- 1) into -1 11.470 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.470 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.471 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 11.472 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 11.472 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 11.472 * [backup-simplify]: Simplify 0 into 0 11.472 * [backup-simplify]: Simplify 0 into 0 11.472 * [backup-simplify]: Simplify 0 into 0 11.472 * [backup-simplify]: Simplify 0 into 0 11.473 * [backup-simplify]: Simplify 0 into 0 11.473 * [backup-simplify]: Simplify 0 into 0 11.473 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 11.473 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 11.473 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 11.474 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 11.474 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 11.474 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 11.474 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.474 * [taylor]: Taking taylor expansion of 0.5 in k 11.474 * [backup-simplify]: Simplify 0.5 into 0.5 11.474 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.474 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.474 * [taylor]: Taking taylor expansion of k in k 11.474 * [backup-simplify]: Simplify 0 into 0 11.474 * [backup-simplify]: Simplify 1 into 1 11.474 * [backup-simplify]: Simplify (/ 1 1) into 1 11.474 * [taylor]: Taking taylor expansion of 1.0 in k 11.474 * [backup-simplify]: Simplify 1.0 into 1.0 11.474 * [taylor]: Taking taylor expansion of (log PI) in k 11.474 * [taylor]: Taking taylor expansion of PI in k 11.474 * [backup-simplify]: Simplify PI into PI 11.475 * [backup-simplify]: Simplify (log PI) into (log PI) 11.475 * [backup-simplify]: Simplify (+ 1 0) into 1 11.476 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.477 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.477 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 11.477 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 11.477 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 11.477 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 11.477 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.478 * [taylor]: Taking taylor expansion of 0.5 in k 11.478 * [backup-simplify]: Simplify 0.5 into 0.5 11.478 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.478 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.478 * [taylor]: Taking taylor expansion of k in k 11.478 * [backup-simplify]: Simplify 0 into 0 11.478 * [backup-simplify]: Simplify 1 into 1 11.478 * [backup-simplify]: Simplify (/ 1 1) into 1 11.478 * [taylor]: Taking taylor expansion of 1.0 in k 11.478 * [backup-simplify]: Simplify 1.0 into 1.0 11.478 * [taylor]: Taking taylor expansion of (log PI) in k 11.478 * [taylor]: Taking taylor expansion of PI in k 11.478 * [backup-simplify]: Simplify PI into PI 11.479 * [backup-simplify]: Simplify (log PI) into (log PI) 11.479 * [backup-simplify]: Simplify (+ 1 0) into 1 11.480 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.481 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.481 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 11.482 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 11.482 * [backup-simplify]: Simplify 0 into 0 11.482 * [backup-simplify]: Simplify 0 into 0 11.482 * [backup-simplify]: Simplify 0 into 0 11.482 * [backup-simplify]: Simplify 0 into 0 11.482 * [backup-simplify]: Simplify 0 into 0 11.482 * [backup-simplify]: Simplify 0 into 0 11.483 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 11.483 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 11.484 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) into (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) 11.484 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in (k) around 0 11.484 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 11.484 * [taylor]: Taking taylor expansion of 1.0 in k 11.484 * [backup-simplify]: Simplify 1.0 into 1.0 11.484 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 11.484 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.484 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.484 * [taylor]: Taking taylor expansion of k in k 11.484 * [backup-simplify]: Simplify 0 into 0 11.484 * [backup-simplify]: Simplify 1 into 1 11.484 * [backup-simplify]: Simplify (/ 1 1) into 1 11.485 * [backup-simplify]: Simplify (sqrt 0) into 0 11.486 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.486 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 11.486 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.486 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.486 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.486 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.486 * [taylor]: Taking taylor expansion of 0.5 in k 11.487 * [backup-simplify]: Simplify 0.5 into 0.5 11.487 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.487 * [taylor]: Taking taylor expansion of 1.0 in k 11.487 * [backup-simplify]: Simplify 1.0 into 1.0 11.487 * [taylor]: Taking taylor expansion of k in k 11.487 * [backup-simplify]: Simplify 0 into 0 11.487 * [backup-simplify]: Simplify 1 into 1 11.487 * [taylor]: Taking taylor expansion of (log PI) in k 11.487 * [taylor]: Taking taylor expansion of PI in k 11.487 * [backup-simplify]: Simplify PI into PI 11.487 * [backup-simplify]: Simplify (log PI) into (log PI) 11.488 * [backup-simplify]: Simplify (- 0) into 0 11.488 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.488 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.489 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.491 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.491 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 11.491 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 11.491 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 11.491 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.492 * [taylor]: Taking taylor expansion of 0.5 in k 11.492 * [backup-simplify]: Simplify 0.5 into 0.5 11.492 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.492 * [taylor]: Taking taylor expansion of 1.0 in k 11.492 * [backup-simplify]: Simplify 1.0 into 1.0 11.492 * [taylor]: Taking taylor expansion of k in k 11.492 * [backup-simplify]: Simplify 0 into 0 11.492 * [backup-simplify]: Simplify 1 into 1 11.492 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.492 * [taylor]: Taking taylor expansion of 2.0 in k 11.492 * [backup-simplify]: Simplify 2.0 into 2.0 11.492 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.493 * [backup-simplify]: Simplify (- 0) into 0 11.493 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.493 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.494 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 11.496 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 11.496 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 11.496 * [taylor]: Taking taylor expansion of 1.0 in k 11.496 * [backup-simplify]: Simplify 1.0 into 1.0 11.496 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 11.496 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.496 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.496 * [taylor]: Taking taylor expansion of k in k 11.496 * [backup-simplify]: Simplify 0 into 0 11.496 * [backup-simplify]: Simplify 1 into 1 11.497 * [backup-simplify]: Simplify (/ 1 1) into 1 11.497 * [backup-simplify]: Simplify (sqrt 0) into 0 11.498 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.498 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 11.498 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.498 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.498 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.499 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.499 * [taylor]: Taking taylor expansion of 0.5 in k 11.499 * [backup-simplify]: Simplify 0.5 into 0.5 11.499 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.499 * [taylor]: Taking taylor expansion of 1.0 in k 11.499 * [backup-simplify]: Simplify 1.0 into 1.0 11.499 * [taylor]: Taking taylor expansion of k in k 11.499 * [backup-simplify]: Simplify 0 into 0 11.499 * [backup-simplify]: Simplify 1 into 1 11.499 * [taylor]: Taking taylor expansion of (log PI) in k 11.499 * [taylor]: Taking taylor expansion of PI in k 11.499 * [backup-simplify]: Simplify PI into PI 11.499 * [backup-simplify]: Simplify (log PI) into (log PI) 11.500 * [backup-simplify]: Simplify (- 0) into 0 11.500 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.501 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.502 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.503 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.503 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 11.503 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 11.503 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 11.503 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.503 * [taylor]: Taking taylor expansion of 0.5 in k 11.503 * [backup-simplify]: Simplify 0.5 into 0.5 11.504 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.504 * [taylor]: Taking taylor expansion of 1.0 in k 11.504 * [backup-simplify]: Simplify 1.0 into 1.0 11.504 * [taylor]: Taking taylor expansion of k in k 11.504 * [backup-simplify]: Simplify 0 into 0 11.504 * [backup-simplify]: Simplify 1 into 1 11.504 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.504 * [taylor]: Taking taylor expansion of 2.0 in k 11.504 * [backup-simplify]: Simplify 2.0 into 2.0 11.504 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.505 * [backup-simplify]: Simplify (- 0) into 0 11.505 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.505 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.506 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 11.508 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 11.510 * [backup-simplify]: Simplify (* (pow PI 0.5) (pow 2.0 0.5)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) 11.511 * [backup-simplify]: Simplify (* 0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) into 0 11.511 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.511 * [backup-simplify]: Simplify 0 into 0 11.513 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 11.513 * [backup-simplify]: Simplify (- 1) into -1 11.514 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.516 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.518 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log 2.0))) into (- (* 0.5 (log 2.0))) 11.527 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1)))) into (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5))) 11.529 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 11.529 * [backup-simplify]: Simplify (- 1) into -1 11.530 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.531 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.532 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 11.538 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 11.546 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (pow 2.0 0.5))) into (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))))) 11.552 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 11.557 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 11.561 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 11.562 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 11.563 * [backup-simplify]: Simplify (- 0) into 0 11.563 * [backup-simplify]: Simplify (+ 0 0) into 0 11.563 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.564 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log 2.0)))) into 0 11.575 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5))) 11.578 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 11.579 * [backup-simplify]: Simplify (- 0) into 0 11.579 * [backup-simplify]: Simplify (+ 0 0) into 0 11.589 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.590 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 11.597 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 11.618 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow 2.0 0.5)))) into (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))) 11.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.620 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.661 * [backup-simplify]: Simplify (+ (* 0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 11.689 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log 2.0) (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 (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) 11.732 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (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 (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (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))))))) 11.738 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2.0 1)))) 6) into 0 11.738 * [backup-simplify]: Simplify (- 0) into 0 11.739 * [backup-simplify]: Simplify (+ 0 0) into 0 11.740 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 11.742 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 11.758 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 3) 6)) (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5))) 11.764 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 11.764 * [backup-simplify]: Simplify (- 0) into 0 11.765 * [backup-simplify]: Simplify (+ 0 0) into 0 11.766 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 11.768 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log PI))))) into 0 11.785 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 3) 6)) (* (/ (pow (- (* 0.5 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) 11.838 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) (pow 2.0 0.5))))) into (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3))))))) 11.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.841 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.925 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3)))))))) (+ (* +nan.0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log 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 (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))))))))))) 12.025 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log 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 (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (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 (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) 12.101 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (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 (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (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) 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) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) 12.212 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (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) 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) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (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))))))) k) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 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)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))))))))))) 12.213 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (* (pow 2.0 (/ (- 1.0 (/ 1 k)) 2.0)) (pow PI (/ (- 1.0 (/ 1 k)) 2.0)))) into (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) 12.213 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in (k) around 0 12.213 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 12.213 * [taylor]: Taking taylor expansion of 1.0 in k 12.213 * [backup-simplify]: Simplify 1.0 into 1.0 12.213 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 12.213 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.213 * [taylor]: Taking taylor expansion of k in k 12.213 * [backup-simplify]: Simplify 0 into 0 12.213 * [backup-simplify]: Simplify 1 into 1 12.213 * [backup-simplify]: Simplify (sqrt 0) into 0 12.214 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.214 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 12.214 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 12.214 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 12.214 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 12.214 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.214 * [taylor]: Taking taylor expansion of 0.5 in k 12.214 * [backup-simplify]: Simplify 0.5 into 0.5 12.214 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.214 * [taylor]: Taking taylor expansion of 1.0 in k 12.214 * [backup-simplify]: Simplify 1.0 into 1.0 12.214 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.214 * [taylor]: Taking taylor expansion of k in k 12.214 * [backup-simplify]: Simplify 0 into 0 12.214 * [backup-simplify]: Simplify 1 into 1 12.215 * [backup-simplify]: Simplify (/ 1 1) into 1 12.215 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.215 * [taylor]: Taking taylor expansion of 2.0 in k 12.215 * [backup-simplify]: Simplify 2.0 into 2.0 12.215 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.215 * [backup-simplify]: Simplify (- 1) into -1 12.216 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.216 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.216 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 12.217 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 12.217 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 12.217 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 12.217 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 12.217 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.217 * [taylor]: Taking taylor expansion of 0.5 in k 12.217 * [backup-simplify]: Simplify 0.5 into 0.5 12.217 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.217 * [taylor]: Taking taylor expansion of 1.0 in k 12.217 * [backup-simplify]: Simplify 1.0 into 1.0 12.217 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.217 * [taylor]: Taking taylor expansion of k in k 12.217 * [backup-simplify]: Simplify 0 into 0 12.217 * [backup-simplify]: Simplify 1 into 1 12.217 * [backup-simplify]: Simplify (/ 1 1) into 1 12.217 * [taylor]: Taking taylor expansion of (log PI) in k 12.217 * [taylor]: Taking taylor expansion of PI in k 12.217 * [backup-simplify]: Simplify PI into PI 12.218 * [backup-simplify]: Simplify (log PI) into (log PI) 12.218 * [backup-simplify]: Simplify (- 1) into -1 12.218 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.218 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.219 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 12.219 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 12.219 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 12.219 * [taylor]: Taking taylor expansion of 1.0 in k 12.219 * [backup-simplify]: Simplify 1.0 into 1.0 12.219 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 12.220 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.220 * [taylor]: Taking taylor expansion of k in k 12.220 * [backup-simplify]: Simplify 0 into 0 12.220 * [backup-simplify]: Simplify 1 into 1 12.220 * [backup-simplify]: Simplify (sqrt 0) into 0 12.221 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.221 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 12.221 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 12.221 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 12.221 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 12.221 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.221 * [taylor]: Taking taylor expansion of 0.5 in k 12.221 * [backup-simplify]: Simplify 0.5 into 0.5 12.221 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.221 * [taylor]: Taking taylor expansion of 1.0 in k 12.221 * [backup-simplify]: Simplify 1.0 into 1.0 12.221 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.221 * [taylor]: Taking taylor expansion of k in k 12.221 * [backup-simplify]: Simplify 0 into 0 12.221 * [backup-simplify]: Simplify 1 into 1 12.221 * [backup-simplify]: Simplify (/ 1 1) into 1 12.221 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.221 * [taylor]: Taking taylor expansion of 2.0 in k 12.221 * [backup-simplify]: Simplify 2.0 into 2.0 12.222 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.222 * [backup-simplify]: Simplify (- 1) into -1 12.222 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.222 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.223 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 12.223 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 12.223 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 12.223 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 12.223 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 12.223 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.223 * [taylor]: Taking taylor expansion of 0.5 in k 12.224 * [backup-simplify]: Simplify 0.5 into 0.5 12.224 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.224 * [taylor]: Taking taylor expansion of 1.0 in k 12.224 * [backup-simplify]: Simplify 1.0 into 1.0 12.224 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.224 * [taylor]: Taking taylor expansion of k in k 12.224 * [backup-simplify]: Simplify 0 into 0 12.224 * [backup-simplify]: Simplify 1 into 1 12.224 * [backup-simplify]: Simplify (/ 1 1) into 1 12.224 * [taylor]: Taking taylor expansion of (log PI) in k 12.224 * [taylor]: Taking taylor expansion of PI in k 12.224 * [backup-simplify]: Simplify PI into PI 12.224 * [backup-simplify]: Simplify (log PI) into (log PI) 12.224 * [backup-simplify]: Simplify (- 1) into -1 12.225 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.225 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.226 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 12.226 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 12.227 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) 12.228 * [backup-simplify]: Simplify (* 0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into 0 12.229 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.229 * [backup-simplify]: Simplify 0 into 0 12.230 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))) into 0 12.231 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.233 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.234 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.236 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))) into 0 12.239 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.241 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.244 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.245 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.247 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))))) into 0 12.251 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.258 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.259 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.263 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 3)))))))) 12.264 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (* (pow 2.0 (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)))) into (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) 12.264 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k) around 0 12.264 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 12.264 * [taylor]: Taking taylor expansion of 1.0 in k 12.264 * [backup-simplify]: Simplify 1.0 into 1.0 12.264 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 12.264 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 12.264 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 12.264 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 12.264 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 12.265 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.265 * [taylor]: Taking taylor expansion of 0.5 in k 12.265 * [backup-simplify]: Simplify 0.5 into 0.5 12.265 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.265 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.265 * [taylor]: Taking taylor expansion of k in k 12.265 * [backup-simplify]: Simplify 0 into 0 12.265 * [backup-simplify]: Simplify 1 into 1 12.265 * [backup-simplify]: Simplify (/ 1 1) into 1 12.265 * [taylor]: Taking taylor expansion of 1.0 in k 12.265 * [backup-simplify]: Simplify 1.0 into 1.0 12.265 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.265 * [taylor]: Taking taylor expansion of 2.0 in k 12.265 * [backup-simplify]: Simplify 2.0 into 2.0 12.266 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.266 * [backup-simplify]: Simplify (+ 1 0) into 1 12.267 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.268 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 12.268 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 12.268 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 12.268 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 12.268 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 12.268 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.268 * [taylor]: Taking taylor expansion of 0.5 in k 12.268 * [backup-simplify]: Simplify 0.5 into 0.5 12.268 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.268 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.268 * [taylor]: Taking taylor expansion of k in k 12.268 * [backup-simplify]: Simplify 0 into 0 12.269 * [backup-simplify]: Simplify 1 into 1 12.269 * [backup-simplify]: Simplify (/ 1 1) into 1 12.269 * [taylor]: Taking taylor expansion of 1.0 in k 12.269 * [backup-simplify]: Simplify 1.0 into 1.0 12.269 * [taylor]: Taking taylor expansion of (log PI) in k 12.269 * [taylor]: Taking taylor expansion of PI in k 12.269 * [backup-simplify]: Simplify PI into PI 12.270 * [backup-simplify]: Simplify (log PI) into (log PI) 12.270 * [backup-simplify]: Simplify (+ 1 0) into 1 12.271 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.272 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.273 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 12.273 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.273 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.273 * [taylor]: Taking taylor expansion of -1 in k 12.273 * [backup-simplify]: Simplify -1 into -1 12.273 * [taylor]: Taking taylor expansion of k in k 12.273 * [backup-simplify]: Simplify 0 into 0 12.273 * [backup-simplify]: Simplify 1 into 1 12.273 * [backup-simplify]: Simplify (/ -1 1) into -1 12.274 * [backup-simplify]: Simplify (sqrt 0) into 0 12.275 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.276 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 12.277 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.278 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 12.278 * [taylor]: Taking taylor expansion of 1.0 in k 12.278 * [backup-simplify]: Simplify 1.0 into 1.0 12.278 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 12.278 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 12.278 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 12.278 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 12.278 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 12.278 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.278 * [taylor]: Taking taylor expansion of 0.5 in k 12.278 * [backup-simplify]: Simplify 0.5 into 0.5 12.278 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.278 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.278 * [taylor]: Taking taylor expansion of k in k 12.278 * [backup-simplify]: Simplify 0 into 0 12.278 * [backup-simplify]: Simplify 1 into 1 12.278 * [backup-simplify]: Simplify (/ 1 1) into 1 12.278 * [taylor]: Taking taylor expansion of 1.0 in k 12.279 * [backup-simplify]: Simplify 1.0 into 1.0 12.279 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.279 * [taylor]: Taking taylor expansion of 2.0 in k 12.279 * [backup-simplify]: Simplify 2.0 into 2.0 12.279 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.279 * [backup-simplify]: Simplify (+ 1 0) into 1 12.280 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.281 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 12.281 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 12.281 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 12.281 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 12.281 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 12.281 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.282 * [taylor]: Taking taylor expansion of 0.5 in k 12.282 * [backup-simplify]: Simplify 0.5 into 0.5 12.282 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.282 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.282 * [taylor]: Taking taylor expansion of k in k 12.282 * [backup-simplify]: Simplify 0 into 0 12.282 * [backup-simplify]: Simplify 1 into 1 12.282 * [backup-simplify]: Simplify (/ 1 1) into 1 12.282 * [taylor]: Taking taylor expansion of 1.0 in k 12.282 * [backup-simplify]: Simplify 1.0 into 1.0 12.282 * [taylor]: Taking taylor expansion of (log PI) in k 12.282 * [taylor]: Taking taylor expansion of PI in k 12.282 * [backup-simplify]: Simplify PI into PI 12.283 * [backup-simplify]: Simplify (log PI) into (log PI) 12.283 * [backup-simplify]: Simplify (+ 1 0) into 1 12.283 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.284 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.285 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 12.285 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.285 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.285 * [taylor]: Taking taylor expansion of -1 in k 12.285 * [backup-simplify]: Simplify -1 into -1 12.285 * [taylor]: Taking taylor expansion of k in k 12.285 * [backup-simplify]: Simplify 0 into 0 12.285 * [backup-simplify]: Simplify 1 into 1 12.286 * [backup-simplify]: Simplify (/ -1 1) into -1 12.286 * [backup-simplify]: Simplify (sqrt 0) into 0 12.287 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.288 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 12.290 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.291 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.292 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.293 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))))) into 0 12.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.297 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.299 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.302 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.303 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.304 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))))) into 0 12.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.306 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.309 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.311 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.311 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.314 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (/ 1 (- k))) (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))))))) into (- (+ (* +nan.0 (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2)))))))) 12.314 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 12.314 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 12.314 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 12.314 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.314 * [taylor]: Taking taylor expansion of 1.0 in k 12.314 * [backup-simplify]: Simplify 1.0 into 1.0 12.314 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.314 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.314 * [taylor]: Taking taylor expansion of k in k 12.314 * [backup-simplify]: Simplify 0 into 0 12.314 * [backup-simplify]: Simplify 1 into 1 12.315 * [backup-simplify]: Simplify (/ 1 1) into 1 12.315 * [backup-simplify]: Simplify (sqrt 0) into 0 12.316 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.316 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.316 * [taylor]: Taking taylor expansion of 1.0 in k 12.316 * [backup-simplify]: Simplify 1.0 into 1.0 12.316 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.316 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.316 * [taylor]: Taking taylor expansion of k in k 12.316 * [backup-simplify]: Simplify 0 into 0 12.316 * [backup-simplify]: Simplify 1 into 1 12.316 * [backup-simplify]: Simplify (/ 1 1) into 1 12.316 * [backup-simplify]: Simplify (sqrt 0) into 0 12.317 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.317 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.317 * [backup-simplify]: Simplify 0 into 0 12.318 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.318 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.321 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.328 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.328 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.332 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.334 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.335 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.336 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 12.336 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 12.336 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 12.336 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 12.336 * [taylor]: Taking taylor expansion of 1.0 in k 12.336 * [backup-simplify]: Simplify 1.0 into 1.0 12.337 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.337 * [taylor]: Taking taylor expansion of k in k 12.337 * [backup-simplify]: Simplify 0 into 0 12.337 * [backup-simplify]: Simplify 1 into 1 12.337 * [backup-simplify]: Simplify (sqrt 0) into 0 12.338 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.338 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 12.338 * [taylor]: Taking taylor expansion of 1.0 in k 12.338 * [backup-simplify]: Simplify 1.0 into 1.0 12.338 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.338 * [taylor]: Taking taylor expansion of k in k 12.339 * [backup-simplify]: Simplify 0 into 0 12.339 * [backup-simplify]: Simplify 1 into 1 12.339 * [backup-simplify]: Simplify (sqrt 0) into 0 12.340 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.341 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.341 * [backup-simplify]: Simplify 0 into 0 12.342 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.342 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.346 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.347 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.347 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.351 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.351 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.352 * [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)))))))) 12.352 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 12.352 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 12.352 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.352 * [taylor]: Taking taylor expansion of 1.0 in k 12.352 * [backup-simplify]: Simplify 1.0 into 1.0 12.352 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.352 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.352 * [taylor]: Taking taylor expansion of -1 in k 12.352 * [backup-simplify]: Simplify -1 into -1 12.352 * [taylor]: Taking taylor expansion of k in k 12.352 * [backup-simplify]: Simplify 0 into 0 12.352 * [backup-simplify]: Simplify 1 into 1 12.353 * [backup-simplify]: Simplify (/ -1 1) into -1 12.353 * [backup-simplify]: Simplify (sqrt 0) into 0 12.354 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.354 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.354 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.354 * [taylor]: Taking taylor expansion of 1.0 in k 12.354 * [backup-simplify]: Simplify 1.0 into 1.0 12.354 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.354 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.354 * [taylor]: Taking taylor expansion of -1 in k 12.354 * [backup-simplify]: Simplify -1 into -1 12.354 * [taylor]: Taking taylor expansion of k in k 12.354 * [backup-simplify]: Simplify 0 into 0 12.354 * [backup-simplify]: Simplify 1 into 1 12.354 * [backup-simplify]: Simplify (/ -1 1) into -1 12.355 * [backup-simplify]: Simplify (sqrt 0) into 0 12.355 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.356 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.356 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.358 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.359 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 12.360 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.362 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.365 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 12.365 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.366 * [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))))) 12.366 * * * [progress]: simplifying candidates 12.369 * [simplify]: Simplifying: (* (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)) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI 1) (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (exp (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow 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2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 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)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2)))))))) (- (+ (* +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))))) 12.374 * * [simplify]: Extracting # 0 : cost 0 12.374 * * [simplify]: Extracting # 1 : cost 0 12.375 * * [simplify]: Extracting # 2 : cost 0 12.375 * * [simplify]: Extracting # 3 : cost 0 12.376 * * [simplify]: Extracting # 4 : cost 0 12.376 * * [simplify]: Extracting # 5 : cost 0 12.377 * * [simplify]: Extracting # 6 : cost 0 12.377 * * [simplify]: Extracting # 7 : cost 0 12.378 * * [simplify]: Extracting # 8 : cost 0 12.378 * * [simplify]: Extracting # 9 : cost 0 12.379 * * [simplify]: Extracting # 10 : cost 0 12.379 * * [simplify]: Extracting # 11 : cost 0 12.380 * * [simplify]: Extracting # 12 : cost 0 12.380 * * [simplify]: Extracting # 13 : cost 0 12.381 * * [simplify]: Extracting # 14 : cost 0 12.381 * * [simplify]: Extracting # 15 : cost 0 12.382 * * [simplify]: Extracting # 16 : cost 0 12.383 * * [simplify]: Extracting # 17 : cost 0 12.383 * * [simplify]: Extracting # 18 : cost 0 12.384 * * [simplify]: Extracting # 19 : cost 0 12.384 * * [simplify]: Extracting # 20 : cost 0 12.385 * * [simplify]: Extracting # 21 : cost 0 12.385 * * [simplify]: Extracting # 22 : cost 0 12.386 * * [simplify]: Extracting # 23 : cost 0 12.386 * * [simplify]: Extracting # 24 : cost 0 12.387 * * [simplify]: Extracting # 25 : cost 0 12.387 * * [simplify]: Extracting # 26 : cost 0 12.388 * * [simplify]: Extracting # 27 : cost 0 12.389 * * [simplify]: Extracting # 28 : cost 0 12.389 * * [simplify]: Extracting # 29 : cost 0 12.390 * * [simplify]: Extracting # 30 : cost 0 12.390 * * [simplify]: Extracting # 31 : cost 0 12.391 * * [simplify]: Extracting # 32 : cost 0 12.391 * * [simplify]: iteration 0 : 376 enodes (cost 3141 ) 12.566 * * [simplify]: Extracting # 0 : cost 0 12.569 * * [simplify]: Extracting # 1 : cost 0 12.572 * * [simplify]: Extracting # 2 : cost 0 12.575 * * [simplify]: Extracting # 3 : cost 0 12.578 * * [simplify]: Extracting # 4 : cost 0 12.581 * * [simplify]: Extracting # 5 : cost 0 12.583 * * [simplify]: Extracting # 6 : cost 0 12.586 * * [simplify]: iteration 1 : 1009 enodes (cost 2818 ) 13.211 * * [simplify]: Extracting # 0 : cost 0 13.218 * * [simplify]: Extracting # 1 : cost 0 13.224 * * [simplify]: Extracting # 2 : cost 0 13.229 * * [simplify]: Extracting # 3 : cost 0 13.233 * * [simplify]: Extracting # 4 : cost 0 13.237 * * [simplify]: Extracting # 5 : cost 0 13.241 * * [simplify]: iteration 2 : 3212 enodes (cost 2638 ) 14.423 * * [simplify]: Extracting # 0 : cost 0 14.429 * * [simplify]: Extracting # 1 : cost 0 14.443 * * [simplify]: Extracting # 2 : cost 0 14.454 * * [simplify]: Extracting # 3 : cost 0 14.467 * * [simplify]: Extracting # 4 : cost 0 14.479 * * [simplify]: iteration done: 5001 enodes (cost 2624 ) 14.482 * [simplify]: Simplified to: (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 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2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 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(/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (pow (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) 3) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (pow PI (/ k 2.0))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow 2.0 (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (/ (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (sqrt k)) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (exp (* 0.5 (- 1.0 k))) (+ 0 (log n))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (pow PI (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k))) (- (+ (- (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (- (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* +nan.0 (- (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))) (+ (/ (* (* (pow (pow 2.0 (- 1.0 k)) 0.5) (pow PI (* 0.5 (- 1.0 k)))) (- +nan.0)) (* k k)) (* +nan.0 (- (/ (* (pow (pow 2.0 (- 1.0 k)) 0.5) (pow PI (* 0.5 (- 1.0 k)))) k) (/ (* (pow (pow 2.0 (- 1.0 k)) 0.5) (pow PI (* 0.5 (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (* (pow (pow 2.0 (- 1.0 k)) 0.5) (pow PI (* 0.5 (- 1.0 k)))) k) (* (/ (pow PI (* 0.5 (- 1.0 k))) k) (/ (pow (pow 2.0 (- 1.0 k)) 0.5) k)))) (* (* (pow (pow 2.0 (- 1.0 k)) 0.5) (pow PI (* 0.5 (- 1.0 k)))) (- +nan.0))) (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0))) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (- (/ +nan.0 k) +nan.0) (/ (- +nan.0) (pow k 2))) 14.484 * * * [progress]: adding candidates to table 15.508 * * [progress]: iteration 4 / 4 15.508 * * * [progress]: picking best candidate 15.528 * * * * [pick]: Picked # 15.529 * * * [progress]: localizing error 15.562 * * * [progress]: generating rewritten candidates 15.562 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 15.570 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 15.584 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 15.612 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 15.720 * * * [progress]: generating series expansions 15.720 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 15.720 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 15.721 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 15.721 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 15.721 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 15.721 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 15.721 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 15.721 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 15.721 * [taylor]: Taking taylor expansion of 0.5 in k 15.721 * [backup-simplify]: Simplify 0.5 into 0.5 15.721 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.721 * [taylor]: Taking taylor expansion of 1.0 in k 15.721 * [backup-simplify]: Simplify 1.0 into 1.0 15.721 * [taylor]: Taking taylor expansion of k in k 15.721 * [backup-simplify]: Simplify 0 into 0 15.721 * [backup-simplify]: Simplify 1 into 1 15.721 * [taylor]: Taking taylor expansion of (log n) in k 15.721 * [taylor]: Taking taylor expansion of n in k 15.721 * [backup-simplify]: Simplify n into n 15.721 * [backup-simplify]: Simplify (log n) into (log n) 15.721 * [backup-simplify]: Simplify (- 0) into 0 15.722 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.722 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 15.722 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 15.722 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 15.722 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 15.722 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 15.722 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 15.722 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 15.722 * [taylor]: Taking taylor expansion of 0.5 in n 15.722 * [backup-simplify]: Simplify 0.5 into 0.5 15.722 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.722 * [taylor]: Taking taylor expansion of 1.0 in n 15.722 * [backup-simplify]: Simplify 1.0 into 1.0 15.722 * [taylor]: Taking taylor expansion of k in n 15.722 * [backup-simplify]: Simplify k into k 15.722 * [taylor]: Taking taylor expansion of (log n) in n 15.723 * [taylor]: Taking taylor expansion of n in n 15.723 * [backup-simplify]: Simplify 0 into 0 15.723 * [backup-simplify]: Simplify 1 into 1 15.723 * [backup-simplify]: Simplify (log 1) into 0 15.723 * [backup-simplify]: Simplify (- k) into (- k) 15.723 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.723 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 15.723 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.723 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 15.723 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 15.724 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 15.724 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 15.724 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 15.724 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 15.724 * [taylor]: Taking taylor expansion of 0.5 in n 15.724 * [backup-simplify]: Simplify 0.5 into 0.5 15.724 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.724 * [taylor]: Taking taylor expansion of 1.0 in n 15.724 * [backup-simplify]: Simplify 1.0 into 1.0 15.724 * [taylor]: Taking taylor expansion of k in n 15.724 * [backup-simplify]: Simplify k into k 15.724 * [taylor]: Taking taylor expansion of (log n) in n 15.724 * [taylor]: Taking taylor expansion of n in n 15.724 * [backup-simplify]: Simplify 0 into 0 15.724 * [backup-simplify]: Simplify 1 into 1 15.724 * [backup-simplify]: Simplify (log 1) into 0 15.724 * [backup-simplify]: Simplify (- k) into (- k) 15.724 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.724 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 15.724 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.725 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 15.725 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 15.725 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 15.725 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 15.725 * [taylor]: Taking taylor expansion of 0.5 in k 15.725 * [backup-simplify]: Simplify 0.5 into 0.5 15.725 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 15.725 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.725 * [taylor]: Taking taylor expansion of 1.0 in k 15.725 * [backup-simplify]: Simplify 1.0 into 1.0 15.725 * [taylor]: Taking taylor expansion of k in k 15.725 * [backup-simplify]: Simplify 0 into 0 15.725 * [backup-simplify]: Simplify 1 into 1 15.725 * [taylor]: Taking taylor expansion of (log n) in k 15.725 * [taylor]: Taking taylor expansion of n in k 15.725 * [backup-simplify]: Simplify n into n 15.725 * [backup-simplify]: Simplify (log n) into (log n) 15.725 * [backup-simplify]: Simplify (- 0) into 0 15.726 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.726 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.726 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 15.726 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 15.726 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 15.727 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.728 * [backup-simplify]: Simplify (- 0) into 0 15.728 * [backup-simplify]: Simplify (+ 0 0) into 0 15.729 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 15.729 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.729 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 15.731 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.731 * [taylor]: Taking taylor expansion of 0 in k 15.731 * [backup-simplify]: Simplify 0 into 0 15.731 * [backup-simplify]: Simplify 0 into 0 15.732 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 15.733 * [backup-simplify]: Simplify (- 1) into -1 15.733 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.734 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 15.734 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 15.734 * [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))) 15.735 * [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))) 15.738 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.738 * [backup-simplify]: Simplify (- 0) into 0 15.739 * [backup-simplify]: Simplify (+ 0 0) into 0 15.740 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 15.740 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.741 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 15.742 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.743 * [taylor]: Taking taylor expansion of 0 in k 15.743 * [backup-simplify]: Simplify 0 into 0 15.743 * [backup-simplify]: Simplify 0 into 0 15.743 * [backup-simplify]: Simplify 0 into 0 15.745 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 15.745 * [backup-simplify]: Simplify (- 0) into 0 15.745 * [backup-simplify]: Simplify (+ 0 0) into 0 15.746 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 15.747 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 15.748 * [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))) 15.749 * [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))) 15.750 * [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)))) 15.750 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 15.750 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 15.750 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 15.750 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 15.750 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 15.750 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 15.750 * [taylor]: Taking taylor expansion of 0.5 in k 15.750 * [backup-simplify]: Simplify 0.5 into 0.5 15.750 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.750 * [taylor]: Taking taylor expansion of 1.0 in k 15.751 * [backup-simplify]: Simplify 1.0 into 1.0 15.751 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.751 * [taylor]: Taking taylor expansion of k in k 15.751 * [backup-simplify]: Simplify 0 into 0 15.751 * [backup-simplify]: Simplify 1 into 1 15.751 * [backup-simplify]: Simplify (/ 1 1) into 1 15.751 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 15.751 * [taylor]: Taking taylor expansion of (/ 1 n) in k 15.751 * [taylor]: Taking taylor expansion of n in k 15.751 * [backup-simplify]: Simplify n into n 15.751 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.751 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 15.752 * [backup-simplify]: Simplify (- 1) into -1 15.752 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.753 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 15.753 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 15.753 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 15.753 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 15.753 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 15.753 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 15.753 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 15.753 * [taylor]: Taking taylor expansion of 0.5 in n 15.753 * [backup-simplify]: Simplify 0.5 into 0.5 15.753 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.753 * [taylor]: Taking taylor expansion of 1.0 in n 15.753 * [backup-simplify]: Simplify 1.0 into 1.0 15.753 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.753 * [taylor]: Taking taylor expansion of k in n 15.753 * [backup-simplify]: Simplify k into k 15.754 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.754 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.754 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.754 * [taylor]: Taking taylor expansion of n in n 15.754 * [backup-simplify]: Simplify 0 into 0 15.754 * [backup-simplify]: Simplify 1 into 1 15.754 * [backup-simplify]: Simplify (/ 1 1) into 1 15.754 * [backup-simplify]: Simplify (log 1) into 0 15.755 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.755 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.755 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 15.755 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.756 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 15.756 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 15.756 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 15.756 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 15.756 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 15.756 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 15.756 * [taylor]: Taking taylor expansion of 0.5 in n 15.756 * [backup-simplify]: Simplify 0.5 into 0.5 15.756 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.756 * [taylor]: Taking taylor expansion of 1.0 in n 15.756 * [backup-simplify]: Simplify 1.0 into 1.0 15.756 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.756 * [taylor]: Taking taylor expansion of k in n 15.756 * [backup-simplify]: Simplify k into k 15.756 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.756 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.756 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.756 * [taylor]: Taking taylor expansion of n in n 15.756 * [backup-simplify]: Simplify 0 into 0 15.756 * [backup-simplify]: Simplify 1 into 1 15.757 * [backup-simplify]: Simplify (/ 1 1) into 1 15.757 * [backup-simplify]: Simplify (log 1) into 0 15.757 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.757 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.757 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 15.758 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.758 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 15.758 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 15.758 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 15.759 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 15.759 * [taylor]: Taking taylor expansion of -0.5 in k 15.759 * [backup-simplify]: Simplify -0.5 into -0.5 15.759 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 15.759 * [taylor]: Taking taylor expansion of (log n) in k 15.759 * [taylor]: Taking taylor expansion of n in k 15.759 * [backup-simplify]: Simplify n into n 15.759 * [backup-simplify]: Simplify (log n) into (log n) 15.759 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.759 * [taylor]: Taking taylor expansion of 1.0 in k 15.759 * [backup-simplify]: Simplify 1.0 into 1.0 15.759 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.759 * [taylor]: Taking taylor expansion of k in k 15.759 * [backup-simplify]: Simplify 0 into 0 15.759 * [backup-simplify]: Simplify 1 into 1 15.759 * [backup-simplify]: Simplify (/ 1 1) into 1 15.760 * [backup-simplify]: Simplify (- 1) into -1 15.760 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.760 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 15.760 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 15.761 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 15.761 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 15.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.763 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.764 * [backup-simplify]: Simplify (- 0) into 0 15.764 * [backup-simplify]: Simplify (+ 0 0) into 0 15.765 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 15.765 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.765 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 15.766 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.767 * [taylor]: Taking taylor expansion of 0 in k 15.767 * [backup-simplify]: Simplify 0 into 0 15.767 * [backup-simplify]: Simplify 0 into 0 15.767 * [backup-simplify]: Simplify 0 into 0 15.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.771 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.771 * [backup-simplify]: Simplify (- 0) into 0 15.772 * [backup-simplify]: Simplify (+ 0 0) into 0 15.773 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 15.773 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.774 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 15.775 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.775 * [taylor]: Taking taylor expansion of 0 in k 15.775 * [backup-simplify]: Simplify 0 into 0 15.776 * [backup-simplify]: Simplify 0 into 0 15.776 * [backup-simplify]: Simplify 0 into 0 15.776 * [backup-simplify]: Simplify 0 into 0 15.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.781 * [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 15.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.782 * [backup-simplify]: Simplify (- 0) into 0 15.783 * [backup-simplify]: Simplify (+ 0 0) into 0 15.784 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 15.784 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.785 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 15.787 * [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 15.788 * [taylor]: Taking taylor expansion of 0 in k 15.788 * [backup-simplify]: Simplify 0 into 0 15.788 * [backup-simplify]: Simplify 0 into 0 15.788 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 15.788 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 15.788 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 15.788 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 15.788 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 15.789 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 15.789 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 15.789 * [taylor]: Taking taylor expansion of 0.5 in k 15.789 * [backup-simplify]: Simplify 0.5 into 0.5 15.789 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.789 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.789 * [taylor]: Taking taylor expansion of k in k 15.789 * [backup-simplify]: Simplify 0 into 0 15.789 * [backup-simplify]: Simplify 1 into 1 15.789 * [backup-simplify]: Simplify (/ 1 1) into 1 15.789 * [taylor]: Taking taylor expansion of 1.0 in k 15.789 * [backup-simplify]: Simplify 1.0 into 1.0 15.789 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 15.789 * [taylor]: Taking taylor expansion of (/ -1 n) in k 15.789 * [taylor]: Taking taylor expansion of -1 in k 15.789 * [backup-simplify]: Simplify -1 into -1 15.790 * [taylor]: Taking taylor expansion of n in k 15.790 * [backup-simplify]: Simplify n into n 15.790 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 15.790 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 15.790 * [backup-simplify]: Simplify (+ 1 0) into 1 15.791 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.791 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 15.791 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 15.792 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 15.792 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 15.792 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 15.792 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 15.792 * [taylor]: Taking taylor expansion of 0.5 in n 15.792 * [backup-simplify]: Simplify 0.5 into 0.5 15.792 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.792 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.792 * [taylor]: Taking taylor expansion of k in n 15.792 * [backup-simplify]: Simplify k into k 15.792 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.792 * [taylor]: Taking taylor expansion of 1.0 in n 15.792 * [backup-simplify]: Simplify 1.0 into 1.0 15.792 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.792 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.792 * [taylor]: Taking taylor expansion of -1 in n 15.792 * [backup-simplify]: Simplify -1 into -1 15.792 * [taylor]: Taking taylor expansion of n in n 15.792 * [backup-simplify]: Simplify 0 into 0 15.792 * [backup-simplify]: Simplify 1 into 1 15.793 * [backup-simplify]: Simplify (/ -1 1) into -1 15.793 * [backup-simplify]: Simplify (log -1) into (log -1) 15.793 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.793 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 15.795 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.795 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.796 * [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)))) 15.796 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 15.796 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 15.796 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 15.796 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 15.796 * [taylor]: Taking taylor expansion of 0.5 in n 15.796 * [backup-simplify]: Simplify 0.5 into 0.5 15.796 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.796 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.796 * [taylor]: Taking taylor expansion of k in n 15.796 * [backup-simplify]: Simplify k into k 15.796 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.796 * [taylor]: Taking taylor expansion of 1.0 in n 15.797 * [backup-simplify]: Simplify 1.0 into 1.0 15.797 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.797 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.797 * [taylor]: Taking taylor expansion of -1 in n 15.797 * [backup-simplify]: Simplify -1 into -1 15.797 * [taylor]: Taking taylor expansion of n in n 15.797 * [backup-simplify]: Simplify 0 into 0 15.797 * [backup-simplify]: Simplify 1 into 1 15.797 * [backup-simplify]: Simplify (/ -1 1) into -1 15.798 * [backup-simplify]: Simplify (log -1) into (log -1) 15.798 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.798 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 15.799 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.799 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.800 * [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)))) 15.800 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 15.800 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 15.800 * [taylor]: Taking taylor expansion of 0.5 in k 15.800 * [backup-simplify]: Simplify 0.5 into 0.5 15.800 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 15.800 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 15.800 * [taylor]: Taking taylor expansion of (log -1) in k 15.800 * [taylor]: Taking taylor expansion of -1 in k 15.801 * [backup-simplify]: Simplify -1 into -1 15.801 * [backup-simplify]: Simplify (log -1) into (log -1) 15.801 * [taylor]: Taking taylor expansion of (log n) in k 15.801 * [taylor]: Taking taylor expansion of n in k 15.801 * [backup-simplify]: Simplify n into n 15.801 * [backup-simplify]: Simplify (log n) into (log n) 15.801 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.801 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.801 * [taylor]: Taking taylor expansion of k in k 15.801 * [backup-simplify]: Simplify 0 into 0 15.801 * [backup-simplify]: Simplify 1 into 1 15.802 * [backup-simplify]: Simplify (/ 1 1) into 1 15.802 * [taylor]: Taking taylor expansion of 1.0 in k 15.802 * [backup-simplify]: Simplify 1.0 into 1.0 15.802 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 15.802 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 15.803 * [backup-simplify]: Simplify (+ 1 0) into 1 15.803 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 15.804 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 15.804 * [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)))) 15.805 * [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)))) 15.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.809 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 15.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.809 * [backup-simplify]: Simplify (+ 0 0) into 0 15.810 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 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)) 0) (* 0 (- (log -1) (log n)))) into 0 15.813 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.813 * [taylor]: Taking taylor expansion of 0 in k 15.814 * [backup-simplify]: Simplify 0 into 0 15.814 * [backup-simplify]: Simplify 0 into 0 15.814 * [backup-simplify]: Simplify 0 into 0 15.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.816 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 15.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.816 * [backup-simplify]: Simplify (+ 0 0) into 0 15.817 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 15.817 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.818 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 15.819 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.819 * [taylor]: Taking taylor expansion of 0 in k 15.819 * [backup-simplify]: Simplify 0 into 0 15.819 * [backup-simplify]: Simplify 0 into 0 15.819 * [backup-simplify]: Simplify 0 into 0 15.819 * [backup-simplify]: Simplify 0 into 0 15.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.823 * [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 15.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.823 * [backup-simplify]: Simplify (+ 0 0) into 0 15.824 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 15.824 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.825 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 15.826 * [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 15.827 * [taylor]: Taking taylor expansion of 0 in k 15.827 * [backup-simplify]: Simplify 0 into 0 15.827 * [backup-simplify]: Simplify 0 into 0 15.827 * [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)))))) 15.827 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 15.829 * [backup-simplify]: Simplify (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0)))) into (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (* 0.5 k)))))) 15.829 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (* 0.5 k)))))) in (k) around 0 15.829 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (* 0.5 k)))))) in k 15.829 * [taylor]: Taking taylor expansion of 1.0 in k 15.829 * [backup-simplify]: Simplify 1.0 into 1.0 15.829 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (* 0.5 k))))) in k 15.829 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 15.829 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.829 * [taylor]: Taking taylor expansion of k in k 15.829 * [backup-simplify]: Simplify 0 into 0 15.829 * [backup-simplify]: Simplify 1 into 1 15.830 * [backup-simplify]: Simplify (/ 1 1) into 1 15.830 * [backup-simplify]: Simplify (sqrt 0) into 0 15.831 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.831 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (* 0.5 k)))) in k 15.831 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 15.831 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 15.831 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 15.831 * [taylor]: Taking taylor expansion of 0.5 in k 15.831 * [backup-simplify]: Simplify 0.5 into 0.5 15.831 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 15.831 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 15.831 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 15.831 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 15.831 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 15.831 * [taylor]: Taking taylor expansion of 1.0 in k 15.831 * [backup-simplify]: Simplify 1.0 into 1.0 15.831 * [taylor]: Taking taylor expansion of (log 2.0) in k 15.831 * [taylor]: Taking taylor expansion of 2.0 in k 15.831 * [backup-simplify]: Simplify 2.0 into 2.0 15.831 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.832 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 15.833 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 15.833 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 15.833 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 15.833 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 15.833 * [taylor]: Taking taylor expansion of 1.0 in k 15.833 * [backup-simplify]: Simplify 1.0 into 1.0 15.833 * [taylor]: Taking taylor expansion of (log PI) in k 15.833 * [taylor]: Taking taylor expansion of PI in k 15.833 * [backup-simplify]: Simplify PI into PI 15.833 * [backup-simplify]: Simplify (log PI) into (log PI) 15.834 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 15.835 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 15.836 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 15.838 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 15.842 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 15.849 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 15.849 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 PI) (* 0.5 k))) in k 15.849 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 k)) in k 15.849 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 PI)))) in k 15.849 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 PI))) in k 15.849 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 15.849 * [taylor]: Taking taylor expansion of 0.5 in k 15.849 * [backup-simplify]: Simplify 0.5 into 0.5 15.849 * [taylor]: Taking taylor expansion of k in k 15.849 * [backup-simplify]: Simplify 0 into 0 15.849 * [backup-simplify]: Simplify 1 into 1 15.849 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.849 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.849 * [taylor]: Taking taylor expansion of 2.0 in k 15.850 * [backup-simplify]: Simplify 2.0 into 2.0 15.850 * [taylor]: Taking taylor expansion of PI in k 15.850 * [backup-simplify]: Simplify PI into PI 15.850 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.851 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.852 * [backup-simplify]: Simplify (* 0.5 0) into 0 15.861 * [backup-simplify]: Simplify (* 0 (log (* 2.0 PI))) into 0 15.863 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 15.865 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 15.867 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 15.870 * [backup-simplify]: Simplify (+ (* 0 0) (* 0.5 (log (* 2.0 PI)))) into (* 0.5 (log (* 2.0 PI))) 15.870 * [backup-simplify]: Simplify (exp 0) into 1 15.871 * [backup-simplify]: Simplify (/ 1 1) into 1 15.871 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (* 0.5 k)))))) in k 15.871 * [taylor]: Taking taylor expansion of 1.0 in k 15.871 * [backup-simplify]: Simplify 1.0 into 1.0 15.871 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (* 0.5 k))))) in k 15.871 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 15.871 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.871 * [taylor]: Taking taylor expansion of k in k 15.871 * [backup-simplify]: Simplify 0 into 0 15.871 * [backup-simplify]: Simplify 1 into 1 15.872 * [backup-simplify]: Simplify (/ 1 1) into 1 15.872 * [backup-simplify]: Simplify (sqrt 0) into 0 15.874 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.874 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (* 0.5 k)))) in k 15.874 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 15.874 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 15.874 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 15.874 * [taylor]: Taking taylor expansion of 0.5 in k 15.874 * [backup-simplify]: Simplify 0.5 into 0.5 15.874 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 15.874 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 15.874 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 15.874 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 15.874 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 15.874 * [taylor]: Taking taylor expansion of 1.0 in k 15.874 * [backup-simplify]: Simplify 1.0 into 1.0 15.874 * [taylor]: Taking taylor expansion of (log 2.0) in k 15.874 * [taylor]: Taking taylor expansion of 2.0 in k 15.874 * [backup-simplify]: Simplify 2.0 into 2.0 15.875 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.876 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 15.878 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 15.878 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 15.878 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 15.878 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 15.878 * [taylor]: Taking taylor expansion of 1.0 in k 15.878 * [backup-simplify]: Simplify 1.0 into 1.0 15.878 * [taylor]: Taking taylor expansion of (log PI) in k 15.878 * [taylor]: Taking taylor expansion of PI in k 15.878 * [backup-simplify]: Simplify PI into PI 15.878 * [backup-simplify]: Simplify (log PI) into (log PI) 15.879 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 15.880 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 15.881 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 15.884 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 15.888 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 15.894 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 15.894 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 PI) (* 0.5 k))) in k 15.894 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 k)) in k 15.894 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 PI)))) in k 15.894 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 PI))) in k 15.894 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 15.894 * [taylor]: Taking taylor expansion of 0.5 in k 15.894 * [backup-simplify]: Simplify 0.5 into 0.5 15.894 * [taylor]: Taking taylor expansion of k in k 15.894 * [backup-simplify]: Simplify 0 into 0 15.894 * [backup-simplify]: Simplify 1 into 1 15.894 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.895 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.895 * [taylor]: Taking taylor expansion of 2.0 in k 15.895 * [backup-simplify]: Simplify 2.0 into 2.0 15.895 * [taylor]: Taking taylor expansion of PI in k 15.895 * [backup-simplify]: Simplify PI into PI 15.895 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.896 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.896 * [backup-simplify]: Simplify (* 0.5 0) into 0 15.896 * [backup-simplify]: Simplify (* 0 (log (* 2.0 PI))) into 0 15.897 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 15.898 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 15.899 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 15.901 * [backup-simplify]: Simplify (+ (* 0 0) (* 0.5 (log (* 2.0 PI)))) into (* 0.5 (log (* 2.0 PI))) 15.901 * [backup-simplify]: Simplify (exp 0) into 1 15.902 * [backup-simplify]: Simplify (/ 1 1) into 1 15.908 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 1) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) 15.909 * [backup-simplify]: Simplify (* 0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) into 0 15.909 * [backup-simplify]: Simplify (* 1.0 0) into 0 15.909 * [backup-simplify]: Simplify 0 into 0 15.915 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 0.5 (log (* 2.0 PI))) 1) 1)))) into (* 0.5 (log (* 2.0 PI))) 15.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 0.5 (log (* 2.0 PI))) 1)))) into (- (* 0.5 (log (* 2.0 PI)))) 15.924 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 15.925 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 15.926 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 15.928 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 15.929 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 15.930 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 15.932 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (* 0 (pow PI 1.0))) into 0 15.934 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 1) into 0 15.936 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)))) into 0 15.939 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.948 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) (- (* 0.5 (log (* 2.0 PI))))) (* 0 1)) into (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 15.954 * [backup-simplify]: Simplify (+ (* 0 (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 15.959 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 15.969 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 15.970 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 15.973 * [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 15.974 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 15.976 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 0) (* 0 (log (* 2.0 PI))))) into 0 15.998 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 0.5 (log (* 2.0 PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (pow (log (* 2.0 PI)) 2)) 16.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 0.125 (pow (log (* 2.0 PI)) 2)) 1)) (* (- (* 0.5 (log (* 2.0 PI)))) (/ (* 0.5 (log (* 2.0 PI))) 1)))) into (* 0.125 (pow (log (* 2.0 PI)) 2)) 16.021 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 16.022 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log PI)))) into 0 16.025 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.028 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 16.029 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log 2.0)))) into 0 16.031 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.033 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (+ (* 0 0) (* 0 (pow PI 1.0)))) into 0 16.038 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 2) into 0 16.040 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))))) into 0 16.044 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.065 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) (* 0.125 (pow (log (* 2.0 PI)) 2))) (+ (* 0 (- (* 0.5 (log (* 2.0 PI))))) (* 0 1))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 16.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.069 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.094 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (+ (* +nan.0 (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 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 2.0 1.0) (pow PI 1.0)) 0.5))))) 16.124 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0))) 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))))) 16.142 * [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))))) 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))))) 16.144 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.160 * [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 16.161 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.163 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 16.178 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (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)) 16.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 0.020833333333333332 (pow (log (* 2.0 PI)) 3)) 1)) (* (- (* 0.5 (log (* 2.0 PI)))) (/ (* 0.125 (pow (log (* 2.0 PI)) 2)) 1)) (* (* 0.125 (pow (log (* 2.0 PI)) 2)) (/ (* 0.5 (log (* 2.0 PI))) 1)))) into (- (* 0.02083333333333333 (pow (log (* 2.0 PI)) 3))) 16.210 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 16.211 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 16.213 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.216 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2.0 1)))) 6) into 0 16.217 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 16.218 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.219 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 1.0))))) into 0 16.224 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 6) into 0 16.225 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)))))) into 0 16.228 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.245 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) (- (* 0.02083333333333333 (pow (log (* 2.0 PI)) 3)))) (+ (* 0 (* 0.125 (pow (log (* 2.0 PI)) 2))) (+ (* 0 (- (* 0.5 (log (* 2.0 PI))))) (* 0 1)))) into (- (* 0.02083333333333333 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 16.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.250 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.306 * [backup-simplify]: Simplify (+ (* 0 (- (* 0.02083333333333333 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (+ (* +nan.0 (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 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)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 16.362 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +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))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)))) 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)))))))) 16.384 * [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)))))))) 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)))))))) 16.434 * [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)))))))) (pow k 2)) (+ (* (- (+ (* +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))))) k) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 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 PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) 16.438 * [backup-simplify]: Simplify (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (/ (/ 1 k) 2.0)))) into (* 1.0 (* (sqrt k) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (/ 0.5 k)))))) 16.438 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (/ 0.5 k)))))) in (k) around 0 16.438 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (/ 0.5 k)))))) in k 16.438 * [taylor]: Taking taylor expansion of 1.0 in k 16.438 * [backup-simplify]: Simplify 1.0 into 1.0 16.438 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (/ 0.5 k))))) in k 16.438 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.438 * [taylor]: Taking taylor expansion of k in k 16.438 * [backup-simplify]: Simplify 0 into 0 16.438 * [backup-simplify]: Simplify 1 into 1 16.438 * [backup-simplify]: Simplify (sqrt 0) into 0 16.440 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.440 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (/ 0.5 k)))) in k 16.440 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 16.440 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 16.440 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 16.440 * [taylor]: Taking taylor expansion of 0.5 in k 16.440 * [backup-simplify]: Simplify 0.5 into 0.5 16.440 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 16.440 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 16.440 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 16.440 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 16.440 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 16.440 * [taylor]: Taking taylor expansion of 1.0 in k 16.440 * [backup-simplify]: Simplify 1.0 into 1.0 16.440 * [taylor]: Taking taylor expansion of (log 2.0) in k 16.440 * [taylor]: Taking taylor expansion of 2.0 in k 16.440 * [backup-simplify]: Simplify 2.0 into 2.0 16.441 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.442 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.443 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.444 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 16.444 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 16.444 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 16.444 * [taylor]: Taking taylor expansion of 1.0 in k 16.444 * [backup-simplify]: Simplify 1.0 into 1.0 16.444 * [taylor]: Taking taylor expansion of (log PI) in k 16.444 * [taylor]: Taking taylor expansion of PI in k 16.444 * [backup-simplify]: Simplify PI into PI 16.444 * [backup-simplify]: Simplify (log PI) into (log PI) 16.445 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.447 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.448 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 16.452 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 16.461 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 16.472 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 16.472 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 PI) (/ 0.5 k))) in k 16.472 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ 0.5 k)) in k 16.472 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 PI)))) in k 16.472 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 PI))) in k 16.472 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 16.472 * [taylor]: Taking taylor expansion of 0.5 in k 16.472 * [backup-simplify]: Simplify 0.5 into 0.5 16.473 * [taylor]: Taking taylor expansion of k in k 16.473 * [backup-simplify]: Simplify 0 into 0 16.473 * [backup-simplify]: Simplify 1 into 1 16.473 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 16.473 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.473 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.473 * [taylor]: Taking taylor expansion of 2.0 in k 16.473 * [backup-simplify]: Simplify 2.0 into 2.0 16.473 * [taylor]: Taking taylor expansion of PI in k 16.473 * [backup-simplify]: Simplify PI into PI 16.474 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.475 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.476 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 16.478 * [backup-simplify]: Simplify (exp (* (/ 0.5 k) (log (* 2.0 PI)))) into (exp (* 0.5 (/ (log (* 2.0 PI)) k))) 16.479 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) into (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 16.479 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (/ 0.5 k)))))) in k 16.479 * [taylor]: Taking taylor expansion of 1.0 in k 16.479 * [backup-simplify]: Simplify 1.0 into 1.0 16.479 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (/ 0.5 k))))) in k 16.479 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.479 * [taylor]: Taking taylor expansion of k in k 16.479 * [backup-simplify]: Simplify 0 into 0 16.479 * [backup-simplify]: Simplify 1 into 1 16.479 * [backup-simplify]: Simplify (sqrt 0) into 0 16.481 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.481 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (/ 0.5 k)))) in k 16.481 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 16.481 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 16.481 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 16.481 * [taylor]: Taking taylor expansion of 0.5 in k 16.481 * [backup-simplify]: Simplify 0.5 into 0.5 16.481 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 16.481 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 16.481 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 16.481 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 16.481 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 16.481 * [taylor]: Taking taylor expansion of 1.0 in k 16.481 * [backup-simplify]: Simplify 1.0 into 1.0 16.481 * [taylor]: Taking taylor expansion of (log 2.0) in k 16.481 * [taylor]: Taking taylor expansion of 2.0 in k 16.481 * [backup-simplify]: Simplify 2.0 into 2.0 16.481 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.482 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.484 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.484 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 16.484 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 16.484 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 16.484 * [taylor]: Taking taylor expansion of 1.0 in k 16.484 * [backup-simplify]: Simplify 1.0 into 1.0 16.484 * [taylor]: Taking taylor expansion of (log PI) in k 16.484 * [taylor]: Taking taylor expansion of PI in k 16.484 * [backup-simplify]: Simplify PI into PI 16.484 * [backup-simplify]: Simplify (log PI) into (log PI) 16.486 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.487 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.489 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 16.491 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 16.495 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 16.501 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 16.501 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 PI) (/ 0.5 k))) in k 16.501 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ 0.5 k)) in k 16.501 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 PI)))) in k 16.501 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 PI))) in k 16.501 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 16.501 * [taylor]: Taking taylor expansion of 0.5 in k 16.501 * [backup-simplify]: Simplify 0.5 into 0.5 16.501 * [taylor]: Taking taylor expansion of k in k 16.501 * [backup-simplify]: Simplify 0 into 0 16.501 * [backup-simplify]: Simplify 1 into 1 16.501 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 16.501 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.501 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.501 * [taylor]: Taking taylor expansion of 2.0 in k 16.501 * [backup-simplify]: Simplify 2.0 into 2.0 16.501 * [taylor]: Taking taylor expansion of PI in k 16.501 * [backup-simplify]: Simplify PI into PI 16.502 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.502 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.503 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 16.504 * [backup-simplify]: Simplify (exp (* (/ 0.5 k) (log (* 2.0 PI)))) into (exp (* 0.5 (/ (log (* 2.0 PI)) k))) 16.505 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) into (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 16.510 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) into (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) 16.513 * [backup-simplify]: Simplify (* 0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))) into 0 16.513 * [backup-simplify]: Simplify (* 1.0 0) into 0 16.513 * [backup-simplify]: Simplify 0 into 0 16.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 16.516 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 16.516 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 16.517 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 16.518 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 16.519 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 16.520 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 16.521 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (* 0 (pow PI 1.0))) into 0 16.524 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 1) into 0 16.526 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)))) into 0 16.530 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.533 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 0) (* 0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))) into 0 16.538 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 16.543 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) (* 0 0)) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 16.548 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 16.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) (* 0 (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 16.564 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 16.565 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log PI)))) into 0 16.568 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.571 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 16.572 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log 2.0)))) into 0 16.575 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.576 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (+ (* 0 0) (* 0 (pow PI 1.0)))) into 0 16.581 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 2) into 0 16.583 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))))) into 0 16.585 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.588 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 0) (+ (* 0 0) (* 0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 16.590 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 16.598 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) (+ (* 0 (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) (* 0 0))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 16.600 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 16.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) (* 0 (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) (* 0 (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 16.606 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 16.607 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 16.608 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.613 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2.0 1)))) 6) into 0 16.614 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 16.617 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.619 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 1.0))))) into 0 16.627 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 6) into 0 16.629 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)))))) into 0 16.634 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.638 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) into 0 16.643 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.649 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 16.662 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) (+ (* 0 (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) (+ (* 0 (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) (* 0 0)))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 16.666 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 16.680 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) (/ 1 k)))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) (/ 1 k)))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) (/ 1 k)))))))) (/ 1 k)))) into (- (+ (* +nan.0 (* (/ 1 (* (pow k 3) (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 16.683 * [backup-simplify]: Simplify (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt (/ 1 (- k))) (pow (* 2.0 PI) (/ (/ 1 (- k)) 2.0)))) into (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))))) 16.684 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))))) in (k) around 0 16.684 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))))) in k 16.684 * [taylor]: Taking taylor expansion of 1.0 in k 16.684 * [backup-simplify]: Simplify 1.0 into 1.0 16.684 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k))))) in k 16.684 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 16.684 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 16.684 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 16.684 * [taylor]: Taking taylor expansion of 0.5 in k 16.684 * [backup-simplify]: Simplify 0.5 into 0.5 16.684 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 16.684 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 16.684 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 16.684 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 16.684 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 16.684 * [taylor]: Taking taylor expansion of 1.0 in k 16.684 * [backup-simplify]: Simplify 1.0 into 1.0 16.684 * [taylor]: Taking taylor expansion of (log 2.0) in k 16.684 * [taylor]: Taking taylor expansion of 2.0 in k 16.684 * [backup-simplify]: Simplify 2.0 into 2.0 16.685 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.686 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.687 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.687 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 16.687 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 16.687 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 16.687 * [taylor]: Taking taylor expansion of 1.0 in k 16.687 * [backup-simplify]: Simplify 1.0 into 1.0 16.687 * [taylor]: Taking taylor expansion of (log PI) in k 16.687 * [taylor]: Taking taylor expansion of PI in k 16.687 * [backup-simplify]: Simplify PI into PI 16.688 * [backup-simplify]: Simplify (log PI) into (log PI) 16.699 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.701 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.703 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 16.707 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 16.714 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 16.722 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 16.722 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) in k 16.722 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k))) in k 16.722 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.722 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.722 * [taylor]: Taking taylor expansion of -1 in k 16.722 * [backup-simplify]: Simplify -1 into -1 16.722 * [taylor]: Taking taylor expansion of k in k 16.722 * [backup-simplify]: Simplify 0 into 0 16.722 * [backup-simplify]: Simplify 1 into 1 16.722 * [backup-simplify]: Simplify (/ -1 1) into -1 16.723 * [backup-simplify]: Simplify (sqrt 0) into 0 16.724 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.724 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ -0.5 k)) in k 16.724 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* 2.0 PI)))) in k 16.724 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* 2.0 PI))) in k 16.724 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 16.724 * [taylor]: Taking taylor expansion of -0.5 in k 16.724 * [backup-simplify]: Simplify -0.5 into -0.5 16.724 * [taylor]: Taking taylor expansion of k in k 16.724 * [backup-simplify]: Simplify 0 into 0 16.724 * [backup-simplify]: Simplify 1 into 1 16.725 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5 16.725 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.725 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.725 * [taylor]: Taking taylor expansion of 2.0 in k 16.725 * [backup-simplify]: Simplify 2.0 into 2.0 16.725 * [taylor]: Taking taylor expansion of PI in k 16.726 * [backup-simplify]: Simplify PI into PI 16.726 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.727 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.728 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 16.729 * [backup-simplify]: Simplify (exp (* (/ -0.5 k) (log (* 2.0 PI)))) into (exp (* -0.5 (/ (log (* 2.0 PI)) k))) 16.730 * [backup-simplify]: Simplify (* 0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) into 0 16.731 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) into (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 16.732 * [backup-simplify]: Simplify (/ 1 (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (/ +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) 16.732 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))))) in k 16.732 * [taylor]: Taking taylor expansion of 1.0 in k 16.732 * [backup-simplify]: Simplify 1.0 into 1.0 16.732 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k))))) in k 16.732 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 16.732 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 16.732 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 16.732 * [taylor]: Taking taylor expansion of 0.5 in k 16.732 * [backup-simplify]: Simplify 0.5 into 0.5 16.732 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 16.732 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 16.732 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 16.732 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 16.732 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 16.732 * [taylor]: Taking taylor expansion of 1.0 in k 16.732 * [backup-simplify]: Simplify 1.0 into 1.0 16.732 * [taylor]: Taking taylor expansion of (log 2.0) in k 16.732 * [taylor]: Taking taylor expansion of 2.0 in k 16.732 * [backup-simplify]: Simplify 2.0 into 2.0 16.732 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.733 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.734 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.734 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 16.734 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 16.734 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 16.734 * [taylor]: Taking taylor expansion of 1.0 in k 16.734 * [backup-simplify]: Simplify 1.0 into 1.0 16.734 * [taylor]: Taking taylor expansion of (log PI) in k 16.734 * [taylor]: Taking taylor expansion of PI in k 16.734 * [backup-simplify]: Simplify PI into PI 16.735 * [backup-simplify]: Simplify (log PI) into (log PI) 16.735 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.736 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.737 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 16.740 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 16.744 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 16.752 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 16.752 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) in k 16.752 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k))) in k 16.752 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.752 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.752 * [taylor]: Taking taylor expansion of -1 in k 16.752 * [backup-simplify]: Simplify -1 into -1 16.752 * [taylor]: Taking taylor expansion of k in k 16.752 * [backup-simplify]: Simplify 0 into 0 16.752 * [backup-simplify]: Simplify 1 into 1 16.753 * [backup-simplify]: Simplify (/ -1 1) into -1 16.753 * [backup-simplify]: Simplify (sqrt 0) into 0 16.754 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.754 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ -0.5 k)) in k 16.754 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* 2.0 PI)))) in k 16.754 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* 2.0 PI))) in k 16.754 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 16.754 * [taylor]: Taking taylor expansion of -0.5 in k 16.754 * [backup-simplify]: Simplify -0.5 into -0.5 16.754 * [taylor]: Taking taylor expansion of k in k 16.754 * [backup-simplify]: Simplify 0 into 0 16.754 * [backup-simplify]: Simplify 1 into 1 16.755 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5 16.755 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.755 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.755 * [taylor]: Taking taylor expansion of 2.0 in k 16.755 * [backup-simplify]: Simplify 2.0 into 2.0 16.755 * [taylor]: Taking taylor expansion of PI in k 16.755 * [backup-simplify]: Simplify PI into PI 16.756 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.757 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.759 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 16.760 * [backup-simplify]: Simplify (exp (* (/ -0.5 k) (log (* 2.0 PI)))) into (exp (* -0.5 (/ (log (* 2.0 PI)) k))) 16.761 * [backup-simplify]: Simplify (* 0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) into 0 16.763 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) into (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 16.764 * [backup-simplify]: Simplify (/ 1 (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (/ +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) 16.773 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) (/ +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 16.778 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 16.780 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 16.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.783 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.784 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 16.786 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (/ (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))))) into (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 16.787 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 16.787 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 16.788 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 16.789 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 16.790 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 16.791 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 16.791 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (* 0 (pow PI 1.0))) into 0 16.793 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 1) into 0 16.794 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)))) into 0 16.795 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.802 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) (* 0 (/ +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) 16.808 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))))) (* 0 (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) 16.812 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) 16.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.827 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.829 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 16.837 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (/ (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) (* (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) (/ (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))))) into (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 16.840 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 16.842 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log PI)))) into 0 16.843 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.845 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 16.845 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log 2.0)))) into 0 16.847 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.848 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (+ (* 0 0) (* 0 (pow PI 1.0)))) into 0 16.850 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 2) into 0 16.851 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))))) into 0 16.854 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.860 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) (+ (* 0 (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) (* 0 (/ +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) 16.868 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))))) (+ (* 0 (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))))) (* 0 (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) 16.871 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) 16.882 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) (/ 1 (- k))))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) (/ 1 (- k))))))))) (/ 1 (- k))) (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) (/ 1 (- k)))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (* k (log (* 2.0 PI)))))))) (- (+ (* +nan.0 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) 16.882 * * * * [progress]: [ 4 / 4 ] generating series at (2) 16.884 * [backup-simplify]: Simplify (* (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0)))) (pow n (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 16.884 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) in (k n) around 0 16.884 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) in n 16.884 * [taylor]: Taking taylor expansion of 1.0 in n 16.884 * [backup-simplify]: Simplify 1.0 into 1.0 16.884 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in n 16.884 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 16.884 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.884 * [taylor]: Taking taylor expansion of k in n 16.884 * [backup-simplify]: Simplify k into k 16.884 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.884 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 16.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 16.884 * [taylor]: Taking taylor expansion of (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in n 16.884 * [taylor]: Taking taylor expansion of (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) in n 16.884 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 16.884 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 16.885 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 16.885 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 16.885 * [taylor]: Taking taylor expansion of 0.5 in n 16.885 * [backup-simplify]: Simplify 0.5 into 0.5 16.885 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.885 * [taylor]: Taking taylor expansion of 1.0 in n 16.885 * [backup-simplify]: Simplify 1.0 into 1.0 16.885 * [taylor]: Taking taylor expansion of k in n 16.885 * [backup-simplify]: Simplify k into k 16.885 * [taylor]: Taking taylor expansion of (log n) in n 16.885 * [taylor]: Taking taylor expansion of n in n 16.885 * [backup-simplify]: Simplify 0 into 0 16.885 * [backup-simplify]: Simplify 1 into 1 16.885 * [backup-simplify]: Simplify (log 1) into 0 16.885 * [backup-simplify]: Simplify (- k) into (- k) 16.885 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.885 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 16.885 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.885 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 16.886 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 16.886 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 k)) in n 16.886 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 PI)))) in n 16.886 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 PI))) in n 16.886 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 16.886 * [taylor]: Taking taylor expansion of 0.5 in n 16.886 * [backup-simplify]: Simplify 0.5 into 0.5 16.886 * [taylor]: Taking taylor expansion of k in n 16.886 * [backup-simplify]: Simplify k into k 16.886 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 16.886 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 16.886 * [taylor]: Taking taylor expansion of 2.0 in n 16.886 * [backup-simplify]: Simplify 2.0 into 2.0 16.886 * [taylor]: Taking taylor expansion of PI in n 16.886 * [backup-simplify]: Simplify PI into PI 16.886 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.887 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.887 * [backup-simplify]: Simplify (* 0.5 k) into (* 0.5 k) 16.887 * [backup-simplify]: Simplify (* (* 0.5 k) (log (* 2.0 PI))) into (* 0.5 (* k (log (* 2.0 PI)))) 16.888 * [backup-simplify]: Simplify (exp (* 0.5 (* k (log (* 2.0 PI))))) into (exp (* 0.5 (* k (log (* 2.0 PI))))) 16.889 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- 1.0 k) (log n)))) (exp (* 0.5 (* k (log (* 2.0 PI)))))) into (/ (exp (* 0.5 (* (- 1.0 k) (log n)))) (exp (* 0.5 (* k (log (* 2.0 PI)))))) 16.889 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 16.889 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 16.889 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 16.889 * [taylor]: Taking taylor expansion of 0.5 in n 16.889 * [backup-simplify]: Simplify 0.5 into 0.5 16.889 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 16.889 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 16.889 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 16.889 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 16.889 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 16.889 * [taylor]: Taking taylor expansion of 1.0 in n 16.889 * [backup-simplify]: Simplify 1.0 into 1.0 16.889 * [taylor]: Taking taylor expansion of (log PI) in n 16.889 * [taylor]: Taking taylor expansion of PI in n 16.889 * [backup-simplify]: Simplify PI into PI 16.889 * [backup-simplify]: Simplify (log PI) into (log PI) 16.890 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.891 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.891 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 16.891 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 16.891 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 16.891 * [taylor]: Taking taylor expansion of 1.0 in n 16.891 * [backup-simplify]: Simplify 1.0 into 1.0 16.891 * [taylor]: Taking taylor expansion of (log 2.0) in n 16.891 * [taylor]: Taking taylor expansion of 2.0 in n 16.891 * [backup-simplify]: Simplify 2.0 into 2.0 16.891 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.892 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.893 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.894 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 16.896 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 16.900 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 16.905 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 16.905 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) in k 16.905 * [taylor]: Taking taylor expansion of 1.0 in k 16.905 * [backup-simplify]: Simplify 1.0 into 1.0 16.905 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in k 16.905 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 16.905 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.906 * [taylor]: Taking taylor expansion of k in k 16.906 * [backup-simplify]: Simplify 0 into 0 16.906 * [backup-simplify]: Simplify 1 into 1 16.906 * [backup-simplify]: Simplify (/ 1 1) into 1 16.906 * [backup-simplify]: Simplify (sqrt 0) into 0 16.908 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.908 * [taylor]: Taking taylor expansion of (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in k 16.908 * [taylor]: Taking taylor expansion of (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) in k 16.908 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 16.908 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 16.908 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 16.908 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.908 * [taylor]: Taking taylor expansion of 0.5 in k 16.908 * [backup-simplify]: Simplify 0.5 into 0.5 16.908 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.908 * [taylor]: Taking taylor expansion of 1.0 in k 16.908 * [backup-simplify]: Simplify 1.0 into 1.0 16.908 * [taylor]: Taking taylor expansion of k in k 16.908 * [backup-simplify]: Simplify 0 into 0 16.908 * [backup-simplify]: Simplify 1 into 1 16.908 * [taylor]: Taking taylor expansion of (log n) in k 16.908 * [taylor]: Taking taylor expansion of n in k 16.908 * [backup-simplify]: Simplify n into n 16.908 * [backup-simplify]: Simplify (log n) into (log n) 16.908 * [backup-simplify]: Simplify (- 0) into 0 16.909 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.909 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.909 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 16.910 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 16.910 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 k)) in k 16.910 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 PI)))) in k 16.910 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 PI))) in k 16.910 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 16.910 * [taylor]: Taking taylor expansion of 0.5 in k 16.910 * [backup-simplify]: Simplify 0.5 into 0.5 16.910 * [taylor]: Taking taylor expansion of k in k 16.910 * [backup-simplify]: Simplify 0 into 0 16.910 * [backup-simplify]: Simplify 1 into 1 16.910 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.910 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.910 * [taylor]: Taking taylor expansion of 2.0 in k 16.910 * [backup-simplify]: Simplify 2.0 into 2.0 16.910 * [taylor]: Taking taylor expansion of PI in k 16.910 * [backup-simplify]: Simplify PI into PI 16.910 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.911 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.912 * [backup-simplify]: Simplify (* 0.5 0) into 0 16.913 * [backup-simplify]: Simplify (* 0 (log (* 2.0 PI))) into 0 16.913 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.915 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.917 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 16.920 * [backup-simplify]: Simplify (+ (* 0 0) (* 0.5 (log (* 2.0 PI)))) into (* 0.5 (log (* 2.0 PI))) 16.920 * [backup-simplify]: Simplify (exp 0) into 1 16.920 * [backup-simplify]: Simplify (/ (pow n 0.5) 1) into (pow (pow n 1.0) 0.5) 16.920 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 16.920 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 16.920 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 16.920 * [taylor]: Taking taylor expansion of 0.5 in k 16.920 * [backup-simplify]: Simplify 0.5 into 0.5 16.920 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 16.920 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 16.920 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 16.921 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 16.921 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 16.921 * [taylor]: Taking taylor expansion of 1.0 in k 16.921 * [backup-simplify]: Simplify 1.0 into 1.0 16.921 * [taylor]: Taking taylor expansion of (log PI) in k 16.921 * [taylor]: Taking taylor expansion of PI in k 16.921 * [backup-simplify]: Simplify PI into PI 16.921 * [backup-simplify]: Simplify (log PI) into (log PI) 16.922 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.924 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.924 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 16.924 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 16.924 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 16.924 * [taylor]: Taking taylor expansion of 1.0 in k 16.924 * [backup-simplify]: Simplify 1.0 into 1.0 16.924 * [taylor]: Taking taylor expansion of (log 2.0) in k 16.924 * [taylor]: Taking taylor expansion of 2.0 in k 16.924 * [backup-simplify]: Simplify 2.0 into 2.0 16.924 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.925 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.927 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.929 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 16.932 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 16.946 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 16.952 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 16.952 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) in k 16.952 * [taylor]: Taking taylor expansion of 1.0 in k 16.952 * [backup-simplify]: Simplify 1.0 into 1.0 16.953 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in k 16.953 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 16.953 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.953 * [taylor]: Taking taylor expansion of k in k 16.953 * [backup-simplify]: Simplify 0 into 0 16.953 * [backup-simplify]: Simplify 1 into 1 16.953 * [backup-simplify]: Simplify (/ 1 1) into 1 16.953 * [backup-simplify]: Simplify (sqrt 0) into 0 16.954 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.954 * [taylor]: Taking taylor expansion of (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in k 16.954 * [taylor]: Taking taylor expansion of (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) in k 16.954 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 16.954 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 16.954 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 16.954 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.954 * [taylor]: Taking taylor expansion of 0.5 in k 16.954 * [backup-simplify]: Simplify 0.5 into 0.5 16.954 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.954 * [taylor]: Taking taylor expansion of 1.0 in k 16.954 * [backup-simplify]: Simplify 1.0 into 1.0 16.954 * [taylor]: Taking taylor expansion of k in k 16.954 * [backup-simplify]: Simplify 0 into 0 16.954 * [backup-simplify]: Simplify 1 into 1 16.954 * [taylor]: Taking taylor expansion of (log n) in k 16.954 * [taylor]: Taking taylor expansion of n in k 16.954 * [backup-simplify]: Simplify n into n 16.954 * [backup-simplify]: Simplify (log n) into (log n) 16.955 * [backup-simplify]: Simplify (- 0) into 0 16.955 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.955 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.955 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 16.955 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 16.955 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 k)) in k 16.955 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 PI)))) in k 16.955 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 PI))) in k 16.956 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 16.956 * [taylor]: Taking taylor expansion of 0.5 in k 16.956 * [backup-simplify]: Simplify 0.5 into 0.5 16.956 * [taylor]: Taking taylor expansion of k in k 16.956 * [backup-simplify]: Simplify 0 into 0 16.956 * [backup-simplify]: Simplify 1 into 1 16.956 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.956 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.956 * [taylor]: Taking taylor expansion of 2.0 in k 16.956 * [backup-simplify]: Simplify 2.0 into 2.0 16.956 * [taylor]: Taking taylor expansion of PI in k 16.956 * [backup-simplify]: Simplify PI into PI 16.956 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.957 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.957 * [backup-simplify]: Simplify (* 0.5 0) into 0 16.957 * [backup-simplify]: Simplify (* 0 (log (* 2.0 PI))) into 0 16.958 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.960 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 16.962 * [backup-simplify]: Simplify (+ (* 0 0) (* 0.5 (log (* 2.0 PI)))) into (* 0.5 (log (* 2.0 PI))) 16.962 * [backup-simplify]: Simplify (exp 0) into 1 16.962 * [backup-simplify]: Simplify (/ (pow n 0.5) 1) into (pow (pow n 1.0) 0.5) 16.962 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 16.962 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 16.962 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 16.962 * [taylor]: Taking taylor expansion of 0.5 in k 16.962 * [backup-simplify]: Simplify 0.5 into 0.5 16.962 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 16.962 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 16.962 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 16.962 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 16.962 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 16.962 * [taylor]: Taking taylor expansion of 1.0 in k 16.962 * [backup-simplify]: Simplify 1.0 into 1.0 16.962 * [taylor]: Taking taylor expansion of (log PI) in k 16.962 * [taylor]: Taking taylor expansion of PI in k 16.963 * [backup-simplify]: Simplify PI into PI 16.963 * [backup-simplify]: Simplify (log PI) into (log PI) 16.964 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.965 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.965 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 16.965 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 16.965 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 16.965 * [taylor]: Taking taylor expansion of 1.0 in k 16.965 * [backup-simplify]: Simplify 1.0 into 1.0 16.966 * [taylor]: Taking taylor expansion of (log 2.0) in k 16.966 * [taylor]: Taking taylor expansion of 2.0 in k 16.966 * [backup-simplify]: Simplify 2.0 into 2.0 16.966 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.967 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.969 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.970 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 16.974 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 16.981 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 16.991 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 16.999 * [backup-simplify]: Simplify (* (pow (pow n 1.0) 0.5) (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 17.000 * [backup-simplify]: Simplify (* 0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) into 0 17.000 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.000 * [taylor]: Taking taylor expansion of 0 in n 17.000 * [backup-simplify]: Simplify 0 into 0 17.000 * [backup-simplify]: Simplify 0 into 0 17.001 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 17.001 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 17.002 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 17.003 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 17.004 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 17.004 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 17.005 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 17.007 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 1) into 0 17.008 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)))) into 0 17.009 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 17.010 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 17.010 * [backup-simplify]: Simplify (- 1) into -1 17.010 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.011 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 17.012 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 17.012 * [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))) 17.017 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 0.5 (log (* 2.0 PI))) 1) 1)))) into (* 0.5 (log (* 2.0 PI))) 17.019 * [backup-simplify]: Simplify (- (/ (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 1) (+ (* (pow (pow n 1.0) 0.5) (/ (* 0.5 (log (* 2.0 PI))) 1)))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (pow n 1.0) 0.5))) (* 0.5 (* (pow (pow n 1.0) 0.5) (log n))))) 17.025 * [backup-simplify]: Simplify (+ (* (pow (pow n 1.0) 0.5) 0) (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (pow n 1.0) 0.5))) (* 0.5 (* (pow (pow n 1.0) 0.5) (log n))))) (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 17.029 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) (* +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))) 17.030 * [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))) 17.030 * [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 17.030 * [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 17.030 * [taylor]: Taking taylor expansion of +nan.0 in n 17.030 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.030 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 17.030 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 17.030 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 17.031 * [taylor]: Taking taylor expansion of 0.5 in n 17.031 * [backup-simplify]: Simplify 0.5 into 0.5 17.031 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 17.031 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 17.031 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.031 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.031 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.031 * [taylor]: Taking taylor expansion of 1.0 in n 17.031 * [backup-simplify]: Simplify 1.0 into 1.0 17.031 * [taylor]: Taking taylor expansion of (log PI) in n 17.031 * [taylor]: Taking taylor expansion of PI in n 17.031 * [backup-simplify]: Simplify PI into PI 17.031 * [backup-simplify]: Simplify (log PI) into (log PI) 17.032 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.034 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.034 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 17.034 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 17.034 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 17.034 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 17.034 * [taylor]: Taking taylor expansion of 1.0 in n 17.034 * [backup-simplify]: Simplify 1.0 into 1.0 17.034 * [taylor]: Taking taylor expansion of (log n) in n 17.034 * [taylor]: Taking taylor expansion of n in n 17.034 * [backup-simplify]: Simplify 0 into 0 17.034 * [backup-simplify]: Simplify 1 into 1 17.034 * [backup-simplify]: Simplify (log 1) into 0 17.035 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.035 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 17.035 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 17.035 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.035 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.035 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.035 * [taylor]: Taking taylor expansion of 1.0 in n 17.035 * [backup-simplify]: Simplify 1.0 into 1.0 17.035 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.035 * [taylor]: Taking taylor expansion of 2.0 in n 17.035 * [backup-simplify]: Simplify 2.0 into 2.0 17.035 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.036 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.038 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.038 * [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) 17.039 * [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) 17.041 * [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)) 17.042 * [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))) 17.043 * [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) 17.045 * [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)) 17.046 * [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))) 17.047 * [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))) 17.047 * [backup-simplify]: Simplify 0 into 0 17.048 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 17.049 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log 2.0)))) into 0 17.050 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.052 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 17.053 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log PI)))) into 0 17.054 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.061 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (+ (* 0 0) (* 0 (pow 2.0 1.0)))) into 0 17.064 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 2) into 0 17.065 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))))) into 0 17.068 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.069 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 17.069 * [backup-simplify]: Simplify (- 0) into 0 17.070 * [backup-simplify]: Simplify (+ 0 0) into 0 17.070 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 17.071 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 17.072 * [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))) 17.072 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 17.074 * [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 17.075 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 17.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 0) (* 0 (log (* 2.0 PI))))) into 0 17.085 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 0.5 (log (* 2.0 PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (pow (log (* 2.0 PI)) 2)) 17.095 * [backup-simplify]: Simplify (- (/ (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 1) (+ (* (pow (pow n 1.0) 0.5) (/ (* 0.125 (pow (log (* 2.0 PI)) 2)) 1)) (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (pow n 1.0) 0.5))) (* 0.5 (* (pow (pow n 1.0) 0.5) (log n))))) (/ (* 0.5 (log (* 2.0 PI))) 1)))) into (+ (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (pow n 1.0) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (pow n 1.0) 0.5))))) 17.110 * [backup-simplify]: Simplify (+ (* (pow (pow n 1.0) 0.5) 0) (+ (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (pow n 1.0) 0.5))) (* 0.5 (* (pow (pow n 1.0) 0.5) (log n))))) 0) (* (+ (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (pow n 1.0) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (pow n 1.0) 0.5))))) (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5)))) into (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))) 17.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.115 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.126 * [backup-simplify]: Simplify (+ (* 0 (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) (* +nan.0 (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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) 17.130 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) 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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) 17.131 * [taylor]: Taking taylor expansion of (- (+ (* +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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) in n 17.131 * [taylor]: Taking taylor expansion of (+ (* +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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))) in n 17.131 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 17.131 * [taylor]: Taking taylor expansion of +nan.0 in n 17.131 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.131 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 17.131 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 17.131 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 17.131 * [taylor]: Taking taylor expansion of 2.0 in n 17.131 * [backup-simplify]: Simplify 2.0 into 2.0 17.131 * [taylor]: Taking taylor expansion of PI in n 17.131 * [backup-simplify]: Simplify PI into PI 17.131 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.132 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.132 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 17.132 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 17.132 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 17.132 * [taylor]: Taking taylor expansion of 0.5 in n 17.132 * [backup-simplify]: Simplify 0.5 into 0.5 17.132 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 17.132 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 17.132 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.132 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.132 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.132 * [taylor]: Taking taylor expansion of 1.0 in n 17.132 * [backup-simplify]: Simplify 1.0 into 1.0 17.132 * [taylor]: Taking taylor expansion of (log PI) in n 17.132 * [taylor]: Taking taylor expansion of PI in n 17.132 * [backup-simplify]: Simplify PI into PI 17.132 * [backup-simplify]: Simplify (log PI) into (log PI) 17.133 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.134 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.134 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 17.134 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 17.134 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 17.134 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 17.134 * [taylor]: Taking taylor expansion of 1.0 in n 17.134 * [backup-simplify]: Simplify 1.0 into 1.0 17.134 * [taylor]: Taking taylor expansion of (log n) in n 17.134 * [taylor]: Taking taylor expansion of n in n 17.134 * [backup-simplify]: Simplify 0 into 0 17.134 * [backup-simplify]: Simplify 1 into 1 17.134 * [backup-simplify]: Simplify (log 1) into 0 17.135 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.135 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 17.135 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 17.135 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.135 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.135 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.135 * [taylor]: Taking taylor expansion of 1.0 in n 17.135 * [backup-simplify]: Simplify 1.0 into 1.0 17.135 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.135 * [taylor]: Taking taylor expansion of 2.0 in n 17.135 * [backup-simplify]: Simplify 2.0 into 2.0 17.135 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.136 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.137 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.137 * [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) 17.138 * [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) 17.139 * [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)) 17.140 * [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))) 17.141 * [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) 17.141 * [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 n)))))) in n 17.141 * [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 n))))) in n 17.141 * [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 17.141 * [taylor]: Taking taylor expansion of +nan.0 in n 17.141 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.141 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 17.141 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 17.141 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 17.141 * [taylor]: Taking taylor expansion of 0.5 in n 17.141 * [backup-simplify]: Simplify 0.5 into 0.5 17.141 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 17.141 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 17.141 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.141 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.141 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.141 * [taylor]: Taking taylor expansion of 1.0 in n 17.141 * [backup-simplify]: Simplify 1.0 into 1.0 17.141 * [taylor]: Taking taylor expansion of (log PI) in n 17.141 * [taylor]: Taking taylor expansion of PI in n 17.141 * [backup-simplify]: Simplify PI into PI 17.142 * [backup-simplify]: Simplify (log PI) into (log PI) 17.143 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.144 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.144 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 17.144 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 17.144 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 17.144 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 17.144 * [taylor]: Taking taylor expansion of 1.0 in n 17.144 * [backup-simplify]: Simplify 1.0 into 1.0 17.144 * [taylor]: Taking taylor expansion of (log n) in n 17.144 * [taylor]: Taking taylor expansion of n in n 17.144 * [backup-simplify]: Simplify 0 into 0 17.144 * [backup-simplify]: Simplify 1 into 1 17.144 * [backup-simplify]: Simplify (log 1) into 0 17.144 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.144 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 17.144 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 17.144 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.144 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.144 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.145 * [taylor]: Taking taylor expansion of 1.0 in n 17.145 * [backup-simplify]: Simplify 1.0 into 1.0 17.145 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.145 * [taylor]: Taking taylor expansion of 2.0 in n 17.145 * [backup-simplify]: Simplify 2.0 into 2.0 17.145 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.145 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.146 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.147 * [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) 17.148 * [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) 17.148 * [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)) 17.149 * [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))) 17.150 * [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) 17.151 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) in n 17.151 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 17.151 * [taylor]: Taking taylor expansion of +nan.0 in n 17.151 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.151 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 17.151 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 17.151 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 17.151 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 17.151 * [taylor]: Taking taylor expansion of 0.5 in n 17.151 * [backup-simplify]: Simplify 0.5 into 0.5 17.151 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 17.151 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 17.151 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.151 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.151 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.151 * [taylor]: Taking taylor expansion of 1.0 in n 17.151 * [backup-simplify]: Simplify 1.0 into 1.0 17.151 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.151 * [taylor]: Taking taylor expansion of 2.0 in n 17.151 * [backup-simplify]: Simplify 2.0 into 2.0 17.152 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.153 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.154 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.154 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 17.154 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.154 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.155 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.155 * [taylor]: Taking taylor expansion of 1.0 in n 17.155 * [backup-simplify]: Simplify 1.0 into 1.0 17.155 * [taylor]: Taking taylor expansion of (log PI) in n 17.155 * [taylor]: Taking taylor expansion of PI in n 17.155 * [backup-simplify]: Simplify PI into PI 17.155 * [backup-simplify]: Simplify (log PI) into (log PI) 17.156 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.158 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.158 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 17.158 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 17.158 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 17.158 * [taylor]: Taking taylor expansion of 1.0 in n 17.158 * [backup-simplify]: Simplify 1.0 into 1.0 17.158 * [taylor]: Taking taylor expansion of (log n) in n 17.158 * [taylor]: Taking taylor expansion of n in n 17.158 * [backup-simplify]: Simplify 0 into 0 17.158 * [backup-simplify]: Simplify 1 into 1 17.158 * [backup-simplify]: Simplify (log 1) into 0 17.159 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.159 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 17.159 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 17.159 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 17.160 * [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) 17.161 * [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)) 17.162 * [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))) 17.163 * [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) 17.163 * [taylor]: Taking taylor expansion of (log n) in n 17.163 * [taylor]: Taking taylor expansion of n in n 17.163 * [backup-simplify]: Simplify 0 into 0 17.163 * [backup-simplify]: Simplify 1 into 1 17.163 * [backup-simplify]: Simplify (log 1) into 0 17.165 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 17.166 * [backup-simplify]: Simplify (* +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 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 17.167 * [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)) 17.167 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.169 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (log n)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n)) 17.170 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) into (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 17.171 * [backup-simplify]: Simplify (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 17.172 * [backup-simplify]: Simplify (+ (* +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))))) 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)))))) 17.174 * [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))))))) into (- (+ (* +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)))))) 17.185 * [backup-simplify]: Simplify (+ (* +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 (* (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))))))) 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 (* (log n) (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))))))) 17.190 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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 (* 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)))))))) 17.195 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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 (* (log n) (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))))))) 17.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 17.200 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 17.201 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 17.203 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.203 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.204 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 17.205 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 17.206 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 17.207 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 17.207 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 17.208 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 17.209 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 17.210 * [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 17.211 * [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 17.212 * [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 17.214 * [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 17.214 * [backup-simplify]: Simplify (- 0) into 0 17.214 * [backup-simplify]: Simplify 0 into 0 17.214 * [backup-simplify]: Simplify 0 into 0 17.217 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2.0 1)))) 6) into 0 17.218 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 17.219 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.222 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 17.223 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 17.225 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.226 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow 2.0 1.0))))) into 0 17.230 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 6) into 0 17.231 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)))))) into 0 17.234 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.237 * [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 17.237 * [backup-simplify]: Simplify (- 0) into 0 17.238 * [backup-simplify]: Simplify (+ 0 0) into 0 17.239 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 17.240 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log n))))) into 0 17.242 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 3) 6)) (* (/ (pow (- (* 0.5 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (pow n 1.0) 0.5) (pow (log n) 3))) 17.243 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.249 * [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 17.250 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 17.251 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 17.260 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (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)) 17.270 * [backup-simplify]: Simplify (- (/ (* -0.020833333333333332 (* (pow (pow n 1.0) 0.5) (pow (log n) 3))) 1) (+ (* (pow (pow n 1.0) 0.5) (/ (* 0.020833333333333332 (pow (log (* 2.0 PI)) 3)) 1)) (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (pow n 1.0) 0.5))) (* 0.5 (* (pow (pow n 1.0) 0.5) (log n))))) (/ (* 0.125 (pow (log (* 2.0 PI)) 2)) 1)) (* (+ (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (pow n 1.0) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (pow n 1.0) 0.5))))) (/ (* 0.5 (log (* 2.0 PI))) 1)))) into (- (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (pow n 1.0) 0.5))) (+ (* 0.02083333333333333 (* (pow (log (* 2.0 PI)) 3) (pow (pow n 1.0) 0.5))) (+ (* 0.020833333333333332 (* (pow (pow n 1.0) 0.5) (pow (log n) 3))) (* 0.0625 (* (* (log (* 2.0 PI)) (pow (log n) 2)) (pow (pow n 1.0) 0.5))))))) 17.289 * [backup-simplify]: Simplify (+ (* (pow (pow n 1.0) 0.5) 0) (+ (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (pow n 1.0) 0.5))) (* 0.5 (* (pow (pow n 1.0) 0.5) (log n))))) 0) (+ (* (+ (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (pow n 1.0) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (pow n 1.0) 0.5))))) 0) (* (- (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (pow n 1.0) 0.5))) (+ (* 0.02083333333333333 (* (pow (log (* 2.0 PI)) 3) (pow (pow n 1.0) 0.5))) (+ (* 0.020833333333333332 (* (pow (pow n 1.0) 0.5) (pow (log n) 3))) (* 0.0625 (* (* (log (* 2.0 PI)) (pow (log n) 2)) (pow (pow n 1.0) 0.5))))))) (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5))))) into (- (+ (* 0.0625 (* (* (log (* 2.0 PI)) (pow (log n) 2)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (log n) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.02083333333333333 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) 17.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.303 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.321 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.0625 (* (* (log (* 2.0 PI)) (pow (log n) 2)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (log n) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.02083333333333333 (* (pow (log (* 2.0 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 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) (* +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)) (- (+ (* +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 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 17.335 * [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 (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 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))) (+ (* 0 (- (+ (* +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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))))) (+ (* 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 (* (log (* 2.0 PI)) (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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) 17.335 * [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 (* (log (* 2.0 PI)) (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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) in n 17.336 * [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 (* (log (* 2.0 PI)) (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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) in n 17.336 * [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 17.336 * [taylor]: Taking taylor expansion of +nan.0 in n 17.336 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.336 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 17.336 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 17.336 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 17.336 * [taylor]: Taking taylor expansion of 0.5 in n 17.336 * [backup-simplify]: Simplify 0.5 into 0.5 17.336 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 17.336 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 17.336 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.336 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.336 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.336 * [taylor]: Taking taylor expansion of 1.0 in n 17.336 * [backup-simplify]: Simplify 1.0 into 1.0 17.336 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.336 * [taylor]: Taking taylor expansion of 2.0 in n 17.336 * [backup-simplify]: Simplify 2.0 into 2.0 17.336 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.337 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.338 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.338 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 17.338 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 17.338 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 17.338 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 17.338 * [taylor]: Taking taylor expansion of 1.0 in n 17.338 * [backup-simplify]: Simplify 1.0 into 1.0 17.338 * [taylor]: Taking taylor expansion of (log n) in n 17.338 * [taylor]: Taking taylor expansion of n in n 17.338 * [backup-simplify]: Simplify 0 into 0 17.338 * [backup-simplify]: Simplify 1 into 1 17.338 * [backup-simplify]: Simplify (log 1) into 0 17.339 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.339 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 17.339 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 17.339 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.339 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.339 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.339 * [taylor]: Taking taylor expansion of 1.0 in n 17.339 * [backup-simplify]: Simplify 1.0 into 1.0 17.339 * [taylor]: Taking taylor expansion of (log PI) in n 17.339 * [taylor]: Taking taylor expansion of PI in n 17.339 * [backup-simplify]: Simplify PI into PI 17.340 * [backup-simplify]: Simplify (log PI) into (log PI) 17.341 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.342 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.343 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 17.344 * [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) 17.346 * [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)) 17.347 * [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))) 17.348 * [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) 17.349 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) in n 17.349 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 PI)) (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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))) in n 17.349 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 17.349 * [taylor]: Taking taylor expansion of +nan.0 in n 17.349 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.349 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 17.349 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 17.349 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 17.349 * [taylor]: Taking taylor expansion of 2.0 in n 17.349 * [backup-simplify]: Simplify 2.0 into 2.0 17.349 * [taylor]: Taking taylor expansion of PI in n 17.349 * [backup-simplify]: Simplify PI into PI 17.350 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.351 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.351 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 17.351 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 17.351 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 17.351 * [taylor]: Taking taylor expansion of 0.5 in n 17.351 * [backup-simplify]: Simplify 0.5 into 0.5 17.351 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 17.351 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 17.351 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.351 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.351 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.351 * [taylor]: Taking taylor expansion of 1.0 in n 17.351 * [backup-simplify]: Simplify 1.0 into 1.0 17.351 * [taylor]: Taking taylor expansion of (log PI) in n 17.351 * [taylor]: Taking taylor expansion of PI in n 17.351 * [backup-simplify]: Simplify PI into PI 17.352 * [backup-simplify]: Simplify (log PI) into (log PI) 17.353 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.354 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.354 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 17.354 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 17.354 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 17.354 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 17.354 * [taylor]: Taking taylor expansion of 1.0 in n 17.354 * [backup-simplify]: Simplify 1.0 into 1.0 17.354 * [taylor]: Taking taylor expansion of (log n) in n 17.355 * [taylor]: Taking taylor expansion of n in n 17.355 * [backup-simplify]: Simplify 0 into 0 17.355 * [backup-simplify]: Simplify 1 into 1 17.355 * [backup-simplify]: Simplify (log 1) into 0 17.355 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.355 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 17.356 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 17.356 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.356 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.356 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.356 * [taylor]: Taking taylor expansion of 1.0 in n 17.356 * [backup-simplify]: Simplify 1.0 into 1.0 17.356 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.356 * [taylor]: Taking taylor expansion of 2.0 in n 17.356 * [backup-simplify]: Simplify 2.0 into 2.0 17.356 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.357 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.359 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.359 * [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) 17.361 * [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) 17.362 * [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)) 17.363 * [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))) 17.365 * [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) 17.365 * [taylor]: Taking taylor expansion of (- (+ (* +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 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))) in n 17.365 * [taylor]: Taking taylor expansion of (+ (* +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 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))) in n 17.365 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 17.365 * [taylor]: Taking taylor expansion of +nan.0 in n 17.365 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.365 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 17.365 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 17.365 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 17.365 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 17.365 * [taylor]: Taking taylor expansion of 2.0 in n 17.365 * [backup-simplify]: Simplify 2.0 into 2.0 17.365 * [taylor]: Taking taylor expansion of PI in n 17.365 * [backup-simplify]: Simplify PI into PI 17.366 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.367 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.367 * [taylor]: Taking taylor expansion of (log n) in n 17.367 * [taylor]: Taking taylor expansion of n in n 17.367 * [backup-simplify]: Simplify 0 into 0 17.367 * [backup-simplify]: Simplify 1 into 1 17.367 * [backup-simplify]: Simplify (log 1) into 0 17.367 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 17.367 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 17.367 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 17.367 * [taylor]: Taking taylor expansion of 0.5 in n 17.367 * [backup-simplify]: Simplify 0.5 into 0.5 17.367 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 17.367 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 17.367 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.367 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.367 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.367 * [taylor]: Taking taylor expansion of 1.0 in n 17.367 * [backup-simplify]: Simplify 1.0 into 1.0 17.367 * [taylor]: Taking taylor expansion of (log PI) in n 17.367 * [taylor]: Taking taylor expansion of PI in n 17.367 * [backup-simplify]: Simplify PI into PI 17.367 * [backup-simplify]: Simplify (log PI) into (log PI) 17.368 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.369 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.369 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 17.369 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.369 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.369 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.369 * [taylor]: Taking taylor expansion of 1.0 in n 17.369 * [backup-simplify]: Simplify 1.0 into 1.0 17.369 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.369 * [taylor]: Taking taylor expansion of 2.0 in n 17.369 * [backup-simplify]: Simplify 2.0 into 2.0 17.369 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.370 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.371 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.371 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 17.371 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 17.371 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 17.371 * [taylor]: Taking taylor expansion of 1.0 in n 17.371 * [backup-simplify]: Simplify 1.0 into 1.0 17.371 * [taylor]: Taking taylor expansion of (log n) in n 17.371 * [taylor]: Taking taylor expansion of n in n 17.371 * [backup-simplify]: Simplify 0 into 0 17.371 * [backup-simplify]: Simplify 1 into 1 17.372 * [backup-simplify]: Simplify (log 1) into 0 17.372 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.372 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 17.372 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 17.372 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 17.373 * [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) 17.374 * [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)) 17.375 * [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))) 17.376 * [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) 17.376 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) in n 17.376 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) in n 17.376 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 17.376 * [taylor]: Taking taylor expansion of +nan.0 in n 17.376 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.376 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 17.376 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 17.376 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 17.376 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 17.376 * [taylor]: Taking taylor expansion of 0.5 in n 17.376 * [backup-simplify]: Simplify 0.5 into 0.5 17.376 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 17.376 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 17.376 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.376 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.376 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.376 * [taylor]: Taking taylor expansion of 1.0 in n 17.376 * [backup-simplify]: Simplify 1.0 into 1.0 17.376 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.376 * [taylor]: Taking taylor expansion of 2.0 in n 17.376 * [backup-simplify]: Simplify 2.0 into 2.0 17.376 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.377 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.378 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.378 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 17.378 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.378 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.378 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.378 * [taylor]: Taking taylor expansion of 1.0 in n 17.378 * [backup-simplify]: Simplify 1.0 into 1.0 17.378 * [taylor]: Taking taylor expansion of (log PI) in n 17.378 * [taylor]: Taking taylor expansion of PI in n 17.378 * [backup-simplify]: Simplify PI into PI 17.378 * [backup-simplify]: Simplify (log PI) into (log PI) 17.379 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.380 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.380 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 17.380 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 17.380 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 17.380 * [taylor]: Taking taylor expansion of 1.0 in n 17.380 * [backup-simplify]: Simplify 1.0 into 1.0 17.380 * [taylor]: Taking taylor expansion of (log n) in n 17.380 * [taylor]: Taking taylor expansion of n in n 17.380 * [backup-simplify]: Simplify 0 into 0 17.380 * [backup-simplify]: Simplify 1 into 1 17.380 * [backup-simplify]: Simplify (log 1) into 0 17.381 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.381 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 17.381 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 17.381 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 17.382 * [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) 17.383 * [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)) 17.384 * [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))) 17.384 * [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) 17.384 * [taylor]: Taking taylor expansion of (log n) in n 17.385 * [taylor]: Taking taylor expansion of n in n 17.385 * [backup-simplify]: Simplify 0 into 0 17.385 * [backup-simplify]: Simplify 1 into 1 17.385 * [backup-simplify]: Simplify (log 1) into 0 17.385 * [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 n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 17.385 * [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 n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 17.385 * [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 n) 2))) in n 17.385 * [taylor]: Taking taylor expansion of +nan.0 in n 17.385 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.385 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 17.385 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 17.385 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 17.385 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 17.385 * [taylor]: Taking taylor expansion of 0.5 in n 17.385 * [backup-simplify]: Simplify 0.5 into 0.5 17.385 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 17.385 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 17.385 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.385 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.385 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.385 * [taylor]: Taking taylor expansion of 1.0 in n 17.385 * [backup-simplify]: Simplify 1.0 into 1.0 17.385 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.385 * [taylor]: Taking taylor expansion of 2.0 in n 17.385 * [backup-simplify]: Simplify 2.0 into 2.0 17.385 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.386 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.387 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.387 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 17.387 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.387 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.387 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.387 * [taylor]: Taking taylor expansion of 1.0 in n 17.387 * [backup-simplify]: Simplify 1.0 into 1.0 17.387 * [taylor]: Taking taylor expansion of (log PI) in n 17.387 * [taylor]: Taking taylor expansion of PI in n 17.387 * [backup-simplify]: Simplify PI into PI 17.387 * [backup-simplify]: Simplify (log PI) into (log PI) 17.388 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.389 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.389 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 17.389 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 17.389 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 17.389 * [taylor]: Taking taylor expansion of 1.0 in n 17.389 * [backup-simplify]: Simplify 1.0 into 1.0 17.389 * [taylor]: Taking taylor expansion of (log n) in n 17.389 * [taylor]: Taking taylor expansion of n in n 17.389 * [backup-simplify]: Simplify 0 into 0 17.389 * [backup-simplify]: Simplify 1 into 1 17.390 * [backup-simplify]: Simplify (log 1) into 0 17.390 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.390 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 17.390 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 17.390 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 17.391 * [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) 17.392 * [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)) 17.393 * [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))) 17.394 * [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) 17.394 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 17.394 * [taylor]: Taking taylor expansion of (log n) in n 17.394 * [taylor]: Taking taylor expansion of n in n 17.394 * [backup-simplify]: Simplify 0 into 0 17.394 * [backup-simplify]: Simplify 1 into 1 17.394 * [backup-simplify]: Simplify (log 1) into 0 17.394 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.394 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 17.394 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 17.394 * [taylor]: Taking taylor expansion of +nan.0 in n 17.394 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.394 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 17.394 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 17.394 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 17.394 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 17.394 * [taylor]: Taking taylor expansion of 2.0 in n 17.394 * [backup-simplify]: Simplify 2.0 into 2.0 17.395 * [taylor]: Taking taylor expansion of PI in n 17.395 * [backup-simplify]: Simplify PI into PI 17.395 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.395 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.396 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 17.396 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 17.396 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 17.396 * [taylor]: Taking taylor expansion of 0.5 in n 17.396 * [backup-simplify]: Simplify 0.5 into 0.5 17.396 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 17.396 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 17.396 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.396 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.396 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.396 * [taylor]: Taking taylor expansion of 1.0 in n 17.396 * [backup-simplify]: Simplify 1.0 into 1.0 17.396 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.396 * [taylor]: Taking taylor expansion of 2.0 in n 17.396 * [backup-simplify]: Simplify 2.0 into 2.0 17.396 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.397 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.398 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.398 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 17.398 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 17.398 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 17.398 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 17.398 * [taylor]: Taking taylor expansion of 1.0 in n 17.398 * [backup-simplify]: Simplify 1.0 into 1.0 17.398 * [taylor]: Taking taylor expansion of (log n) in n 17.398 * [taylor]: Taking taylor expansion of n in n 17.398 * [backup-simplify]: Simplify 0 into 0 17.398 * [backup-simplify]: Simplify 1 into 1 17.398 * [backup-simplify]: Simplify (log 1) into 0 17.399 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.399 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 17.399 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 17.399 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.399 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.399 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.399 * [taylor]: Taking taylor expansion of 1.0 in n 17.399 * [backup-simplify]: Simplify 1.0 into 1.0 17.399 * [taylor]: Taking taylor expansion of (log PI) in n 17.399 * [taylor]: Taking taylor expansion of PI in n 17.399 * [backup-simplify]: Simplify PI into PI 17.399 * [backup-simplify]: Simplify (log PI) into (log PI) 17.400 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.402 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.403 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 17.404 * [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) 17.406 * [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)) 17.407 * [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))) 17.409 * [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) 17.411 * [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)) 17.414 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 17.427 * [backup-simplify]: Simplify (* +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 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 17.427 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.429 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log n)) into (* (log (* 2.0 PI)) (log n)) 17.433 * [backup-simplify]: Simplify (* (* (log (* 2.0 PI)) (log n)) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) 17.436 * [backup-simplify]: Simplify (* +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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) 17.436 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.438 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (log n)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n)) 17.439 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) into (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 17.440 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.440 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.440 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 17.442 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (log n) 2)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2)) 17.444 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) into (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 17.447 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 17.450 * [backup-simplify]: Simplify (* (pow (log (* 2.0 PI)) 2) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 17.453 * [backup-simplify]: Simplify (* +nan.0 (* (pow (log (* 2.0 PI)) 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)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 17.457 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (log (* 2.0 PI)) 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)))) 17.460 * [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))))) 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 PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 17.463 * [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 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)))))) 17.467 * [backup-simplify]: Simplify (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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))))))) 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 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)))))))) 17.471 * [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 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))))))))) 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 n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 17.477 * [backup-simplify]: Simplify (+ (* +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))) (- (+ (* +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 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 (* (* (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 (* 2.0 PI)) 2) (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)))))))))) 17.485 * [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)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 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 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 (* (* (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)))))))))) 17.499 * [backup-simplify]: Simplify (+ (* +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 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))))))))))) 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 (log (* 2.0 PI)) 2) (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))) (- (+ (* +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)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 17.514 * [backup-simplify]: Simplify (- (- (+ (* +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 (log (* 2.0 PI)) 2) (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))) (- (+ (* +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)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 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)) (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 n) 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)))))))))))) 17.525 * [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 (* 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)) (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 n) 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 (* (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 (* (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 n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) 17.535 * [backup-simplify]: Simplify (- (- (+ (* +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 (* (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 n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (* (* (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 (* 2.0 PI)) 2) (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 (* (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 (* (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)))))))))))))) 17.551 * [backup-simplify]: Simplify (- (+ (* +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 (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 (* (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)))))))))))))) 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 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 n) (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)))))))))))))) 17.577 * [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 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 n) (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)))))))))))))) (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 (* (log n) (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))))))) (* 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)) (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 k 2) (log (* 2.0 PI))) (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 (* (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)))))))))))))))))))))) 17.581 * [backup-simplify]: Simplify (* (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (/ (/ 1 k) 2.0)))) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k)))))) 17.582 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k)))))) in (k n) around 0 17.582 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k)))))) in n 17.582 * [taylor]: Taking taylor expansion of 1.0 in n 17.582 * [backup-simplify]: Simplify 1.0 into 1.0 17.582 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k))))) in n 17.582 * [taylor]: Taking taylor expansion of (sqrt k) in n 17.582 * [taylor]: Taking taylor expansion of k in n 17.582 * [backup-simplify]: Simplify k into k 17.582 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 17.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 17.582 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k)))) in n 17.582 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 17.582 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 17.582 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 17.582 * [taylor]: Taking taylor expansion of 0.5 in n 17.582 * [backup-simplify]: Simplify 0.5 into 0.5 17.582 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 17.582 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 17.582 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.582 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.582 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.582 * [taylor]: Taking taylor expansion of 1.0 in n 17.582 * [backup-simplify]: Simplify 1.0 into 1.0 17.582 * [taylor]: Taking taylor expansion of (log PI) in n 17.583 * [taylor]: Taking taylor expansion of PI in n 17.583 * [backup-simplify]: Simplify PI into PI 17.583 * [backup-simplify]: Simplify (log PI) into (log PI) 17.584 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.586 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.586 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.586 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.586 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.586 * [taylor]: Taking taylor expansion of 1.0 in n 17.586 * [backup-simplify]: Simplify 1.0 into 1.0 17.586 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.586 * [taylor]: Taking taylor expansion of 2.0 in n 17.586 * [backup-simplify]: Simplify 2.0 into 2.0 17.587 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.587 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.589 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.591 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 17.596 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 17.603 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 17.614 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 17.614 * [taylor]: Taking taylor expansion of (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k))) in n 17.614 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 17.614 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 17.614 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 17.614 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 17.614 * [taylor]: Taking taylor expansion of 0.5 in n 17.614 * [backup-simplify]: Simplify 0.5 into 0.5 17.614 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 17.614 * [taylor]: Taking taylor expansion of 1.0 in n 17.614 * [backup-simplify]: Simplify 1.0 into 1.0 17.614 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.614 * [taylor]: Taking taylor expansion of k in n 17.614 * [backup-simplify]: Simplify k into k 17.614 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.614 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 17.614 * [taylor]: Taking taylor expansion of (/ 1 n) in n 17.614 * [taylor]: Taking taylor expansion of n in n 17.614 * [backup-simplify]: Simplify 0 into 0 17.614 * [backup-simplify]: Simplify 1 into 1 17.615 * [backup-simplify]: Simplify (/ 1 1) into 1 17.615 * [backup-simplify]: Simplify (log 1) into 0 17.615 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 17.615 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 17.616 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 17.616 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 17.616 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 17.616 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 17.617 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ 0.5 k)) in n 17.617 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 PI)))) in n 17.617 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 PI))) in n 17.617 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 17.617 * [taylor]: Taking taylor expansion of 0.5 in n 17.617 * [backup-simplify]: Simplify 0.5 into 0.5 17.617 * [taylor]: Taking taylor expansion of k in n 17.617 * [backup-simplify]: Simplify k into k 17.617 * [backup-simplify]: Simplify (/ 0.5 k) into (/ 0.5 k) 17.617 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 17.617 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 17.617 * [taylor]: Taking taylor expansion of 2.0 in n 17.617 * [backup-simplify]: Simplify 2.0 into 2.0 17.617 * [taylor]: Taking taylor expansion of PI in n 17.617 * [backup-simplify]: Simplify PI into PI 17.618 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.619 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.620 * [backup-simplify]: Simplify (* (/ 0.5 k) (log (* 2.0 PI))) into (* 0.5 (/ (log (* 2.0 PI)) k)) 17.621 * [backup-simplify]: Simplify (exp (* 0.5 (/ (log (* 2.0 PI)) k))) into (exp (* 0.5 (/ (log (* 2.0 PI)) k))) 17.623 * [backup-simplify]: Simplify (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 17.623 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k)))))) in k 17.623 * [taylor]: Taking taylor expansion of 1.0 in k 17.623 * [backup-simplify]: Simplify 1.0 into 1.0 17.623 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k))))) in k 17.623 * [taylor]: Taking taylor expansion of (sqrt k) in k 17.623 * [taylor]: Taking taylor expansion of k in k 17.623 * [backup-simplify]: Simplify 0 into 0 17.623 * [backup-simplify]: Simplify 1 into 1 17.624 * [backup-simplify]: Simplify (sqrt 0) into 0 17.625 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.625 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k)))) in k 17.625 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 17.625 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 17.625 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 17.626 * [taylor]: Taking taylor expansion of 0.5 in k 17.626 * [backup-simplify]: Simplify 0.5 into 0.5 17.626 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 17.626 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 17.626 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 17.626 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 17.626 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 17.626 * [taylor]: Taking taylor expansion of 1.0 in k 17.626 * [backup-simplify]: Simplify 1.0 into 1.0 17.626 * [taylor]: Taking taylor expansion of (log PI) in k 17.626 * [taylor]: Taking taylor expansion of PI in k 17.626 * [backup-simplify]: Simplify PI into PI 17.626 * [backup-simplify]: Simplify (log PI) into (log PI) 17.628 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.629 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.630 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 17.630 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 17.630 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 17.630 * [taylor]: Taking taylor expansion of 1.0 in k 17.630 * [backup-simplify]: Simplify 1.0 into 1.0 17.630 * [taylor]: Taking taylor expansion of (log 2.0) in k 17.630 * [taylor]: Taking taylor expansion of 2.0 in k 17.630 * [backup-simplify]: Simplify 2.0 into 2.0 17.630 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.631 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.633 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.635 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 17.639 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 17.647 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 17.659 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 17.659 * [taylor]: Taking taylor expansion of (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k))) in k 17.659 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 17.659 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 17.659 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 17.659 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 17.659 * [taylor]: Taking taylor expansion of 0.5 in k 17.659 * [backup-simplify]: Simplify 0.5 into 0.5 17.659 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 17.659 * [taylor]: Taking taylor expansion of 1.0 in k 17.659 * [backup-simplify]: Simplify 1.0 into 1.0 17.659 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.659 * [taylor]: Taking taylor expansion of k in k 17.659 * [backup-simplify]: Simplify 0 into 0 17.659 * [backup-simplify]: Simplify 1 into 1 17.659 * [backup-simplify]: Simplify (/ 1 1) into 1 17.659 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 17.659 * [taylor]: Taking taylor expansion of (/ 1 n) in k 17.660 * [taylor]: Taking taylor expansion of n in k 17.660 * [backup-simplify]: Simplify n into n 17.660 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 17.660 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 17.660 * [backup-simplify]: Simplify (- 1) into -1 17.660 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.661 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 17.661 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 17.661 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 17.661 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ 0.5 k)) in k 17.661 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 PI)))) in k 17.661 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 PI))) in k 17.661 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 17.661 * [taylor]: Taking taylor expansion of 0.5 in k 17.661 * [backup-simplify]: Simplify 0.5 into 0.5 17.662 * [taylor]: Taking taylor expansion of k in k 17.662 * [backup-simplify]: Simplify 0 into 0 17.662 * [backup-simplify]: Simplify 1 into 1 17.662 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 17.662 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 17.662 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 17.662 * [taylor]: Taking taylor expansion of 2.0 in k 17.662 * [backup-simplify]: Simplify 2.0 into 2.0 17.662 * [taylor]: Taking taylor expansion of PI in k 17.662 * [backup-simplify]: Simplify PI into PI 17.663 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.664 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.665 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 17.667 * [backup-simplify]: Simplify (exp (* (/ 0.5 k) (log (* 2.0 PI)))) into (exp (* 0.5 (/ (log (* 2.0 PI)) k))) 17.668 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 17.668 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k)))))) in k 17.668 * [taylor]: Taking taylor expansion of 1.0 in k 17.668 * [backup-simplify]: Simplify 1.0 into 1.0 17.668 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k))))) in k 17.668 * [taylor]: Taking taylor expansion of (sqrt k) in k 17.668 * [taylor]: Taking taylor expansion of k in k 17.668 * [backup-simplify]: Simplify 0 into 0 17.668 * [backup-simplify]: Simplify 1 into 1 17.669 * [backup-simplify]: Simplify (sqrt 0) into 0 17.670 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.670 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k)))) in k 17.670 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 17.670 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 17.670 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 17.670 * [taylor]: Taking taylor expansion of 0.5 in k 17.670 * [backup-simplify]: Simplify 0.5 into 0.5 17.670 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 17.670 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 17.670 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 17.670 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 17.670 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 17.670 * [taylor]: Taking taylor expansion of 1.0 in k 17.670 * [backup-simplify]: Simplify 1.0 into 1.0 17.670 * [taylor]: Taking taylor expansion of (log PI) in k 17.670 * [taylor]: Taking taylor expansion of PI in k 17.671 * [backup-simplify]: Simplify PI into PI 17.671 * [backup-simplify]: Simplify (log PI) into (log PI) 17.672 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.673 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.674 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 17.674 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 17.674 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 17.674 * [taylor]: Taking taylor expansion of 1.0 in k 17.674 * [backup-simplify]: Simplify 1.0 into 1.0 17.674 * [taylor]: Taking taylor expansion of (log 2.0) in k 17.674 * [taylor]: Taking taylor expansion of 2.0 in k 17.674 * [backup-simplify]: Simplify 2.0 into 2.0 17.674 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.675 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.676 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.678 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 17.682 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 17.689 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 17.700 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 17.700 * [taylor]: Taking taylor expansion of (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k))) in k 17.700 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 17.700 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 17.701 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 17.701 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 17.701 * [taylor]: Taking taylor expansion of 0.5 in k 17.701 * [backup-simplify]: Simplify 0.5 into 0.5 17.701 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 17.701 * [taylor]: Taking taylor expansion of 1.0 in k 17.701 * [backup-simplify]: Simplify 1.0 into 1.0 17.701 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.701 * [taylor]: Taking taylor expansion of k in k 17.701 * [backup-simplify]: Simplify 0 into 0 17.701 * [backup-simplify]: Simplify 1 into 1 17.701 * [backup-simplify]: Simplify (/ 1 1) into 1 17.701 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 17.701 * [taylor]: Taking taylor expansion of (/ 1 n) in k 17.701 * [taylor]: Taking taylor expansion of n in k 17.701 * [backup-simplify]: Simplify n into n 17.702 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 17.702 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 17.702 * [backup-simplify]: Simplify (- 1) into -1 17.703 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.703 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 17.703 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 17.703 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 17.703 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ 0.5 k)) in k 17.703 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 PI)))) in k 17.703 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 PI))) in k 17.704 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 17.704 * [taylor]: Taking taylor expansion of 0.5 in k 17.704 * [backup-simplify]: Simplify 0.5 into 0.5 17.704 * [taylor]: Taking taylor expansion of k in k 17.704 * [backup-simplify]: Simplify 0 into 0 17.704 * [backup-simplify]: Simplify 1 into 1 17.704 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 17.704 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 17.704 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 17.704 * [taylor]: Taking taylor expansion of 2.0 in k 17.704 * [backup-simplify]: Simplify 2.0 into 2.0 17.704 * [taylor]: Taking taylor expansion of PI in k 17.704 * [backup-simplify]: Simplify PI into PI 17.705 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.706 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.708 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 17.709 * [backup-simplify]: Simplify (exp (* (/ 0.5 k) (log (* 2.0 PI)))) into (exp (* 0.5 (/ (log (* 2.0 PI)) k))) 17.720 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 17.734 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) into (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) 17.739 * [backup-simplify]: Simplify (* 0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into 0 17.739 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.739 * [taylor]: Taking taylor expansion of 0 in n 17.739 * [backup-simplify]: Simplify 0 into 0 17.739 * [backup-simplify]: Simplify 0 into 0 17.743 * [backup-simplify]: Simplify (- (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (+ (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 17.744 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 17.745 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 17.747 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 17.748 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 17.749 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 17.751 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 17.752 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 17.755 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 1) into 0 17.756 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)))) into 0 17.759 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 17.763 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 0) (* 0 (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))) into 0 17.768 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 17.773 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (* 0 0)) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 17.773 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) in n 17.773 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) in n 17.773 * [taylor]: Taking taylor expansion of +nan.0 in n 17.773 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.773 * [taylor]: Taking taylor expansion of (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) in n 17.773 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) in n 17.773 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 17.773 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 17.773 * [taylor]: Taking taylor expansion of 0.5 in n 17.773 * [backup-simplify]: Simplify 0.5 into 0.5 17.773 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 17.773 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 17.773 * [taylor]: Taking taylor expansion of (/ 1 n) in n 17.773 * [taylor]: Taking taylor expansion of n in n 17.773 * [backup-simplify]: Simplify 0 into 0 17.773 * [backup-simplify]: Simplify 1 into 1 17.774 * [backup-simplify]: Simplify (/ 1 1) into 1 17.774 * [backup-simplify]: Simplify (log 1) into 0 17.774 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 17.774 * [taylor]: Taking taylor expansion of 1.0 in n 17.774 * [backup-simplify]: Simplify 1.0 into 1.0 17.774 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.774 * [taylor]: Taking taylor expansion of k in n 17.774 * [backup-simplify]: Simplify k into k 17.774 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.775 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 17.775 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 17.775 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 17.775 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 17.776 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 17.776 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 17.776 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 PI)) k))) in n 17.776 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 PI)) k)) in n 17.776 * [taylor]: Taking taylor expansion of 0.5 in n 17.776 * [backup-simplify]: Simplify 0.5 into 0.5 17.776 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 PI)) k) in n 17.776 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 17.776 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 17.776 * [taylor]: Taking taylor expansion of 2.0 in n 17.776 * [backup-simplify]: Simplify 2.0 into 2.0 17.776 * [taylor]: Taking taylor expansion of PI in n 17.776 * [backup-simplify]: Simplify PI into PI 17.777 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.778 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.778 * [taylor]: Taking taylor expansion of k in n 17.778 * [backup-simplify]: Simplify k into k 17.779 * [backup-simplify]: Simplify (/ (log (* 2.0 PI)) k) into (/ (log (* 2.0 PI)) k) 17.780 * [backup-simplify]: Simplify (* 0.5 (/ (log (* 2.0 PI)) k)) into (* 0.5 (/ (log (* 2.0 PI)) k)) 17.781 * [backup-simplify]: Simplify (exp (* 0.5 (/ (log (* 2.0 PI)) k))) into (exp (* 0.5 (/ (log (* 2.0 PI)) k))) 17.783 * [backup-simplify]: Simplify (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 17.783 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 17.783 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 17.783 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 17.783 * [taylor]: Taking taylor expansion of 0.5 in n 17.783 * [backup-simplify]: Simplify 0.5 into 0.5 17.783 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 17.783 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 17.783 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.783 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.783 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.783 * [taylor]: Taking taylor expansion of 1.0 in n 17.783 * [backup-simplify]: Simplify 1.0 into 1.0 17.783 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.783 * [taylor]: Taking taylor expansion of 2.0 in n 17.783 * [backup-simplify]: Simplify 2.0 into 2.0 17.783 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.784 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.786 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.786 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.786 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.786 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.786 * [taylor]: Taking taylor expansion of 1.0 in n 17.786 * [backup-simplify]: Simplify 1.0 into 1.0 17.786 * [taylor]: Taking taylor expansion of (log PI) in n 17.786 * [taylor]: Taking taylor expansion of PI in n 17.786 * [backup-simplify]: Simplify PI into PI 17.787 * [backup-simplify]: Simplify (log PI) into (log PI) 17.788 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.789 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.791 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 17.796 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 17.802 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 17.812 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 17.825 * [backup-simplify]: Simplify (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) 17.829 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 17.833 * [backup-simplify]: Simplify (- (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (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) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 17.838 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 17.838 * [backup-simplify]: Simplify 0 into 0 17.843 * [backup-simplify]: Simplify (- (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (+ (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) (* 0 (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 17.846 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 17.847 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log 2.0)))) into 0 17.849 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.853 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 17.854 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log PI)))) into 0 17.856 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.858 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (+ (* 0 0) (* 0 (pow 2.0 1.0)))) into 0 17.863 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 2) into 0 17.865 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))))) into 0 17.869 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.884 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 0) (+ (* 0 0) (* 0 (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 17.887 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 17.896 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (+ (* 0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (* 0 0))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 17.896 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) in n 17.896 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) in n 17.896 * [taylor]: Taking taylor expansion of +nan.0 in n 17.896 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.896 * [taylor]: Taking taylor expansion of (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) in n 17.896 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) in n 17.896 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 17.896 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 17.896 * [taylor]: Taking taylor expansion of 0.5 in n 17.896 * [backup-simplify]: Simplify 0.5 into 0.5 17.896 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 17.896 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 17.896 * [taylor]: Taking taylor expansion of (/ 1 n) in n 17.896 * [taylor]: Taking taylor expansion of n in n 17.896 * [backup-simplify]: Simplify 0 into 0 17.896 * [backup-simplify]: Simplify 1 into 1 17.897 * [backup-simplify]: Simplify (/ 1 1) into 1 17.897 * [backup-simplify]: Simplify (log 1) into 0 17.897 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 17.897 * [taylor]: Taking taylor expansion of 1.0 in n 17.897 * [backup-simplify]: Simplify 1.0 into 1.0 17.897 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.897 * [taylor]: Taking taylor expansion of k in n 17.897 * [backup-simplify]: Simplify k into k 17.897 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.897 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 17.897 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 17.897 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 17.898 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 17.898 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 17.898 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 17.898 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 PI)) k))) in n 17.898 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 PI)) k)) in n 17.898 * [taylor]: Taking taylor expansion of 0.5 in n 17.898 * [backup-simplify]: Simplify 0.5 into 0.5 17.898 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 PI)) k) in n 17.898 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 17.898 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 17.898 * [taylor]: Taking taylor expansion of 2.0 in n 17.898 * [backup-simplify]: Simplify 2.0 into 2.0 17.898 * [taylor]: Taking taylor expansion of PI in n 17.898 * [backup-simplify]: Simplify PI into PI 17.898 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.899 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.899 * [taylor]: Taking taylor expansion of k in n 17.899 * [backup-simplify]: Simplify k into k 17.900 * [backup-simplify]: Simplify (/ (log (* 2.0 PI)) k) into (/ (log (* 2.0 PI)) k) 17.900 * [backup-simplify]: Simplify (* 0.5 (/ (log (* 2.0 PI)) k)) into (* 0.5 (/ (log (* 2.0 PI)) k)) 17.901 * [backup-simplify]: Simplify (exp (* 0.5 (/ (log (* 2.0 PI)) k))) into (exp (* 0.5 (/ (log (* 2.0 PI)) k))) 17.902 * [backup-simplify]: Simplify (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 17.902 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 17.902 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 17.902 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 17.902 * [taylor]: Taking taylor expansion of 0.5 in n 17.902 * [backup-simplify]: Simplify 0.5 into 0.5 17.902 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 17.902 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 17.902 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.902 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.902 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.902 * [taylor]: Taking taylor expansion of 1.0 in n 17.902 * [backup-simplify]: Simplify 1.0 into 1.0 17.902 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.902 * [taylor]: Taking taylor expansion of 2.0 in n 17.902 * [backup-simplify]: Simplify 2.0 into 2.0 17.902 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.903 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.904 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.904 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.904 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.904 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.904 * [taylor]: Taking taylor expansion of 1.0 in n 17.904 * [backup-simplify]: Simplify 1.0 into 1.0 17.904 * [taylor]: Taking taylor expansion of (log PI) in n 17.904 * [taylor]: Taking taylor expansion of PI in n 17.904 * [backup-simplify]: Simplify PI into PI 17.904 * [backup-simplify]: Simplify (log PI) into (log PI) 17.905 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.906 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.908 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 17.912 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 17.919 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 17.926 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 17.931 * [backup-simplify]: Simplify (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) 17.934 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 17.936 * [backup-simplify]: Simplify (- (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (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) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 17.939 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 17.940 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 17.941 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 17.942 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 17.943 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 17.943 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 17.944 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 17.945 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (* 0 (pow PI 1.0))) into 0 17.946 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 1) into 0 17.947 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)))) into 0 17.949 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 17.949 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 17.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 17.950 * [backup-simplify]: Simplify (- 0) into 0 17.950 * [backup-simplify]: Simplify (+ 0 0) into 0 17.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.952 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.952 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 17.953 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 17.954 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.955 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 17.956 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 17.958 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ (log (* 2.0 PI)) k) (/ 0 k)))) into 0 17.959 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (log (* 2.0 PI)) k))) into 0 17.961 * [backup-simplify]: Simplify (* (exp (* 0.5 (/ (log (* 2.0 PI)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 17.965 * [backup-simplify]: Simplify (- (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (+ (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 17.967 * [backup-simplify]: Simplify (+ (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 0) (* 0 (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 17.970 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 17.970 * [backup-simplify]: Simplify (- 0) into 0 17.971 * [backup-simplify]: Simplify 0 into 0 17.971 * [backup-simplify]: Simplify 0 into 0 17.974 * [backup-simplify]: Simplify (- (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (+ (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) (* 0 (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) (* 0 (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 17.977 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2.0 1)))) 6) into 0 17.978 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 17.980 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.983 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 17.983 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 17.985 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.986 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow 2.0 1.0))))) into 0 17.999 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 6) into 0 18.002 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)))))) into 0 18.007 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 18.012 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) into 0 18.016 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 18.019 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 18.028 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (+ (* 0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (+ (* 0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (* 0 0)))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 18.028 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) in n 18.028 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) in n 18.028 * [taylor]: Taking taylor expansion of +nan.0 in n 18.028 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.028 * [taylor]: Taking taylor expansion of (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) in n 18.028 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) in n 18.028 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 18.028 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 18.028 * [taylor]: Taking taylor expansion of 0.5 in n 18.028 * [backup-simplify]: Simplify 0.5 into 0.5 18.028 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 18.028 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 18.028 * [taylor]: Taking taylor expansion of (/ 1 n) in n 18.029 * [taylor]: Taking taylor expansion of n in n 18.029 * [backup-simplify]: Simplify 0 into 0 18.029 * [backup-simplify]: Simplify 1 into 1 18.029 * [backup-simplify]: Simplify (/ 1 1) into 1 18.029 * [backup-simplify]: Simplify (log 1) into 0 18.029 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 18.029 * [taylor]: Taking taylor expansion of 1.0 in n 18.029 * [backup-simplify]: Simplify 1.0 into 1.0 18.029 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.029 * [taylor]: Taking taylor expansion of k in n 18.029 * [backup-simplify]: Simplify k into k 18.029 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.029 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 18.030 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 18.030 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 18.030 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 18.030 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 18.030 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 18.030 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 PI)) k))) in n 18.030 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 PI)) k)) in n 18.030 * [taylor]: Taking taylor expansion of 0.5 in n 18.030 * [backup-simplify]: Simplify 0.5 into 0.5 18.030 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 PI)) k) in n 18.030 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.030 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.030 * [taylor]: Taking taylor expansion of 2.0 in n 18.030 * [backup-simplify]: Simplify 2.0 into 2.0 18.030 * [taylor]: Taking taylor expansion of PI in n 18.030 * [backup-simplify]: Simplify PI into PI 18.030 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.031 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.031 * [taylor]: Taking taylor expansion of k in n 18.031 * [backup-simplify]: Simplify k into k 18.032 * [backup-simplify]: Simplify (/ (log (* 2.0 PI)) k) into (/ (log (* 2.0 PI)) k) 18.032 * [backup-simplify]: Simplify (* 0.5 (/ (log (* 2.0 PI)) k)) into (* 0.5 (/ (log (* 2.0 PI)) k)) 18.033 * [backup-simplify]: Simplify (exp (* 0.5 (/ (log (* 2.0 PI)) k))) into (exp (* 0.5 (/ (log (* 2.0 PI)) k))) 18.034 * [backup-simplify]: Simplify (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 18.034 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 18.034 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 18.034 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 18.034 * [taylor]: Taking taylor expansion of 0.5 in n 18.034 * [backup-simplify]: Simplify 0.5 into 0.5 18.034 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 18.034 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 18.034 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.034 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.034 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.034 * [taylor]: Taking taylor expansion of 1.0 in n 18.034 * [backup-simplify]: Simplify 1.0 into 1.0 18.034 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.034 * [taylor]: Taking taylor expansion of 2.0 in n 18.034 * [backup-simplify]: Simplify 2.0 into 2.0 18.035 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.035 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.036 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.036 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.036 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.036 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.036 * [taylor]: Taking taylor expansion of 1.0 in n 18.036 * [backup-simplify]: Simplify 1.0 into 1.0 18.036 * [taylor]: Taking taylor expansion of (log PI) in n 18.036 * [taylor]: Taking taylor expansion of PI in n 18.036 * [backup-simplify]: Simplify PI into PI 18.037 * [backup-simplify]: Simplify (log PI) into (log PI) 18.037 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.038 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.039 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 18.042 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 18.046 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 18.054 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 18.060 * [backup-simplify]: Simplify (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) 18.062 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 18.065 * [backup-simplify]: Simplify (- (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (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) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 18.068 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 18.077 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (/ (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (/ (log (* 2.0 PI)) (/ 1 k))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (/ (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (/ (log (* 2.0 PI)) (/ 1 k))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (/ (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (/ (log (* 2.0 PI)) (/ 1 k))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (* (/ (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (* k (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (/ (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (* (pow k 2) (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (/ (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (* (pow k 3) (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) 18.079 * [backup-simplify]: Simplify (* (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt (/ 1 (- k))) (pow (* 2.0 PI) (/ (/ 1 (- k)) 2.0)))) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (* (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 18.079 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in (k n) around 0 18.079 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in n 18.079 * [taylor]: Taking taylor expansion of 1.0 in n 18.079 * [backup-simplify]: Simplify 1.0 into 1.0 18.079 * [taylor]: Taking taylor expansion of (* (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in n 18.079 * [taylor]: Taking taylor expansion of (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) in n 18.079 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 18.079 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 18.079 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 18.079 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 18.079 * [taylor]: Taking taylor expansion of 0.5 in n 18.079 * [backup-simplify]: Simplify 0.5 into 0.5 18.080 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 18.080 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.080 * [taylor]: Taking taylor expansion of k in n 18.080 * [backup-simplify]: Simplify k into k 18.080 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.080 * [taylor]: Taking taylor expansion of 1.0 in n 18.080 * [backup-simplify]: Simplify 1.0 into 1.0 18.080 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 18.080 * [taylor]: Taking taylor expansion of (/ -1 n) in n 18.080 * [taylor]: Taking taylor expansion of -1 in n 18.080 * [backup-simplify]: Simplify -1 into -1 18.080 * [taylor]: Taking taylor expansion of n in n 18.080 * [backup-simplify]: Simplify 0 into 0 18.080 * [backup-simplify]: Simplify 1 into 1 18.080 * [backup-simplify]: Simplify (/ -1 1) into -1 18.080 * [backup-simplify]: Simplify (log -1) into (log -1) 18.080 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 18.080 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 18.081 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 18.081 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 18.082 * [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)))) 18.082 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k))) in n 18.082 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 18.082 * [taylor]: Taking taylor expansion of (/ -1 k) in n 18.082 * [taylor]: Taking taylor expansion of -1 in n 18.082 * [backup-simplify]: Simplify -1 into -1 18.082 * [taylor]: Taking taylor expansion of k in n 18.082 * [backup-simplify]: Simplify k into k 18.082 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 18.082 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 18.082 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 18.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 18.082 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ -0.5 k)) in n 18.082 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* 2.0 PI)))) in n 18.082 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* 2.0 PI))) in n 18.083 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 18.083 * [taylor]: Taking taylor expansion of -0.5 in n 18.083 * [backup-simplify]: Simplify -0.5 into -0.5 18.083 * [taylor]: Taking taylor expansion of k in n 18.083 * [backup-simplify]: Simplify k into k 18.083 * [backup-simplify]: Simplify (/ -0.5 k) into (/ -0.5 k) 18.083 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.083 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.083 * [taylor]: Taking taylor expansion of 2.0 in n 18.083 * [backup-simplify]: Simplify 2.0 into 2.0 18.083 * [taylor]: Taking taylor expansion of PI in n 18.083 * [backup-simplify]: Simplify PI into PI 18.083 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.085 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.086 * [backup-simplify]: Simplify (* (/ -0.5 k) (log (* 2.0 PI))) into (* -0.5 (/ (log (* 2.0 PI)) k)) 18.087 * [backup-simplify]: Simplify (exp (* -0.5 (/ (log (* 2.0 PI)) k))) into (exp (* -0.5 (/ (log (* 2.0 PI)) k))) 18.088 * [backup-simplify]: Simplify (* (sqrt (/ -1 k)) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) into (* (sqrt (/ -1 k)) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) 18.090 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (* (sqrt (/ -1 k)) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) into (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (* (sqrt (/ -1 k)) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 18.090 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 18.090 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 18.090 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 18.090 * [taylor]: Taking taylor expansion of 0.5 in n 18.090 * [backup-simplify]: Simplify 0.5 into 0.5 18.090 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 18.090 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 18.090 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.090 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.091 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.091 * [taylor]: Taking taylor expansion of 1.0 in n 18.091 * [backup-simplify]: Simplify 1.0 into 1.0 18.091 * [taylor]: Taking taylor expansion of (log PI) in n 18.091 * [taylor]: Taking taylor expansion of PI in n 18.091 * [backup-simplify]: Simplify PI into PI 18.091 * [backup-simplify]: Simplify (log PI) into (log PI) 18.092 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.094 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.094 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.094 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.094 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.094 * [taylor]: Taking taylor expansion of 1.0 in n 18.094 * [backup-simplify]: Simplify 1.0 into 1.0 18.094 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.094 * [taylor]: Taking taylor expansion of 2.0 in n 18.094 * [backup-simplify]: Simplify 2.0 into 2.0 18.095 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.096 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.097 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.099 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 18.103 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 18.110 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 18.131 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 18.131 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in k 18.131 * [taylor]: Taking taylor expansion of 1.0 in k 18.131 * [backup-simplify]: Simplify 1.0 into 1.0 18.131 * [taylor]: Taking taylor expansion of (* (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in k 18.131 * [taylor]: Taking taylor expansion of (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) in k 18.131 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 18.131 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 18.131 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 18.131 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 18.131 * [taylor]: Taking taylor expansion of 0.5 in k 18.132 * [backup-simplify]: Simplify 0.5 into 0.5 18.132 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 18.132 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.132 * [taylor]: Taking taylor expansion of k in k 18.132 * [backup-simplify]: Simplify 0 into 0 18.132 * [backup-simplify]: Simplify 1 into 1 18.132 * [backup-simplify]: Simplify (/ 1 1) into 1 18.132 * [taylor]: Taking taylor expansion of 1.0 in k 18.132 * [backup-simplify]: Simplify 1.0 into 1.0 18.132 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 18.132 * [taylor]: Taking taylor expansion of (/ -1 n) in k 18.132 * [taylor]: Taking taylor expansion of -1 in k 18.132 * [backup-simplify]: Simplify -1 into -1 18.132 * [taylor]: Taking taylor expansion of n in k 18.132 * [backup-simplify]: Simplify n into n 18.132 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 18.133 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 18.133 * [backup-simplify]: Simplify (+ 1 0) into 1 18.133 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 18.134 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 18.134 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 18.134 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k))) in k 18.134 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 18.134 * [taylor]: Taking taylor expansion of (/ -1 k) in k 18.134 * [taylor]: Taking taylor expansion of -1 in k 18.134 * [backup-simplify]: Simplify -1 into -1 18.134 * [taylor]: Taking taylor expansion of k in k 18.134 * [backup-simplify]: Simplify 0 into 0 18.134 * [backup-simplify]: Simplify 1 into 1 18.135 * [backup-simplify]: Simplify (/ -1 1) into -1 18.135 * [backup-simplify]: Simplify (sqrt 0) into 0 18.136 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 18.136 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ -0.5 k)) in k 18.136 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* 2.0 PI)))) in k 18.136 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* 2.0 PI))) in k 18.137 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 18.137 * [taylor]: Taking taylor expansion of -0.5 in k 18.137 * [backup-simplify]: Simplify -0.5 into -0.5 18.137 * [taylor]: Taking taylor expansion of k in k 18.137 * [backup-simplify]: Simplify 0 into 0 18.137 * [backup-simplify]: Simplify 1 into 1 18.137 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5 18.137 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 18.137 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 18.137 * [taylor]: Taking taylor expansion of 2.0 in k 18.137 * [backup-simplify]: Simplify 2.0 into 2.0 18.137 * [taylor]: Taking taylor expansion of PI in k 18.137 * [backup-simplify]: Simplify PI into PI 18.138 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.139 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.140 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 18.141 * [backup-simplify]: Simplify (exp (* (/ -0.5 k) (log (* 2.0 PI)))) into (exp (* -0.5 (/ (log (* 2.0 PI)) k))) 18.142 * [backup-simplify]: Simplify (* 0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) into 0 18.143 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) into (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 18.144 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 18.144 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 18.144 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 18.144 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 18.144 * [taylor]: Taking taylor expansion of 0.5 in k 18.144 * [backup-simplify]: Simplify 0.5 into 0.5 18.144 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 18.144 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 18.144 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 18.144 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 18.144 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 18.144 * [taylor]: Taking taylor expansion of 1.0 in k 18.144 * [backup-simplify]: Simplify 1.0 into 1.0 18.144 * [taylor]: Taking taylor expansion of (log PI) in k 18.145 * [taylor]: Taking taylor expansion of PI in k 18.145 * [backup-simplify]: Simplify PI into PI 18.145 * [backup-simplify]: Simplify (log PI) into (log PI) 18.145 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.147 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.147 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 18.147 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 18.147 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 18.147 * [taylor]: Taking taylor expansion of 1.0 in k 18.147 * [backup-simplify]: Simplify 1.0 into 1.0 18.147 * [taylor]: Taking taylor expansion of (log 2.0) in k 18.147 * [taylor]: Taking taylor expansion of 2.0 in k 18.147 * [backup-simplify]: Simplify 2.0 into 2.0 18.147 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.148 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.149 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.150 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 18.152 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 18.156 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 18.161 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 18.161 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in k 18.161 * [taylor]: Taking taylor expansion of 1.0 in k 18.161 * [backup-simplify]: Simplify 1.0 into 1.0 18.161 * [taylor]: Taking taylor expansion of (* (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in k 18.161 * [taylor]: Taking taylor expansion of (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) in k 18.161 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 18.162 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 18.162 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 18.162 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 18.162 * [taylor]: Taking taylor expansion of 0.5 in k 18.162 * [backup-simplify]: Simplify 0.5 into 0.5 18.162 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 18.162 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.162 * [taylor]: Taking taylor expansion of k in k 18.162 * [backup-simplify]: Simplify 0 into 0 18.162 * [backup-simplify]: Simplify 1 into 1 18.162 * [backup-simplify]: Simplify (/ 1 1) into 1 18.162 * [taylor]: Taking taylor expansion of 1.0 in k 18.162 * [backup-simplify]: Simplify 1.0 into 1.0 18.162 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 18.162 * [taylor]: Taking taylor expansion of (/ -1 n) in k 18.162 * [taylor]: Taking taylor expansion of -1 in k 18.162 * [backup-simplify]: Simplify -1 into -1 18.162 * [taylor]: Taking taylor expansion of n in k 18.162 * [backup-simplify]: Simplify n into n 18.162 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 18.162 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 18.162 * [backup-simplify]: Simplify (+ 1 0) into 1 18.163 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 18.163 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 18.163 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 18.163 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k))) in k 18.163 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 18.163 * [taylor]: Taking taylor expansion of (/ -1 k) in k 18.163 * [taylor]: Taking taylor expansion of -1 in k 18.163 * [backup-simplify]: Simplify -1 into -1 18.163 * [taylor]: Taking taylor expansion of k in k 18.163 * [backup-simplify]: Simplify 0 into 0 18.163 * [backup-simplify]: Simplify 1 into 1 18.163 * [backup-simplify]: Simplify (/ -1 1) into -1 18.164 * [backup-simplify]: Simplify (sqrt 0) into 0 18.164 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 18.164 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ -0.5 k)) in k 18.164 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* 2.0 PI)))) in k 18.164 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* 2.0 PI))) in k 18.164 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 18.165 * [taylor]: Taking taylor expansion of -0.5 in k 18.165 * [backup-simplify]: Simplify -0.5 into -0.5 18.165 * [taylor]: Taking taylor expansion of k in k 18.165 * [backup-simplify]: Simplify 0 into 0 18.165 * [backup-simplify]: Simplify 1 into 1 18.165 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5 18.165 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 18.165 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 18.165 * [taylor]: Taking taylor expansion of 2.0 in k 18.165 * [backup-simplify]: Simplify 2.0 into 2.0 18.165 * [taylor]: Taking taylor expansion of PI in k 18.165 * [backup-simplify]: Simplify PI into PI 18.165 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.166 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.167 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 18.168 * [backup-simplify]: Simplify (exp (* (/ -0.5 k) (log (* 2.0 PI)))) into (exp (* -0.5 (/ (log (* 2.0 PI)) k))) 18.169 * [backup-simplify]: Simplify (* 0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) into 0 18.170 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) into (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 18.171 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 18.171 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 18.171 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 18.171 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 18.171 * [taylor]: Taking taylor expansion of 0.5 in k 18.171 * [backup-simplify]: Simplify 0.5 into 0.5 18.171 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 18.171 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 18.171 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 18.171 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 18.171 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 18.171 * [taylor]: Taking taylor expansion of 1.0 in k 18.171 * [backup-simplify]: Simplify 1.0 into 1.0 18.171 * [taylor]: Taking taylor expansion of (log PI) in k 18.171 * [taylor]: Taking taylor expansion of PI in k 18.171 * [backup-simplify]: Simplify PI into PI 18.172 * [backup-simplify]: Simplify (log PI) into (log PI) 18.173 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.175 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.175 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 18.175 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 18.175 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 18.175 * [taylor]: Taking taylor expansion of 1.0 in k 18.175 * [backup-simplify]: Simplify 1.0 into 1.0 18.175 * [taylor]: Taking taylor expansion of (log 2.0) in k 18.175 * [taylor]: Taking taylor expansion of 2.0 in k 18.175 * [backup-simplify]: Simplify 2.0 into 2.0 18.175 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.177 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.178 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.180 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 18.184 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 18.191 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 18.201 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 18.211 * [backup-simplify]: Simplify (* (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (pow (pow (pow (pow (pow (* (pow PI 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 2.0 1.0)) 0.5) (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 18.217 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 18.218 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in n 18.218 * [taylor]: Taking taylor expansion of +nan.0 in n 18.218 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.218 * [taylor]: Taking taylor expansion of (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in n 18.218 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) in n 18.218 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 18.218 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 18.218 * [taylor]: Taking taylor expansion of 0.5 in n 18.218 * [backup-simplify]: Simplify 0.5 into 0.5 18.218 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 18.218 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 18.218 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.218 * [taylor]: Taking taylor expansion of k in n 18.218 * [backup-simplify]: Simplify k into k 18.218 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.218 * [taylor]: Taking taylor expansion of 1.0 in n 18.218 * [backup-simplify]: Simplify 1.0 into 1.0 18.218 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 18.218 * [taylor]: Taking taylor expansion of (/ -1 n) in n 18.218 * [taylor]: Taking taylor expansion of -1 in n 18.218 * [backup-simplify]: Simplify -1 into -1 18.218 * [taylor]: Taking taylor expansion of n in n 18.218 * [backup-simplify]: Simplify 0 into 0 18.218 * [backup-simplify]: Simplify 1 into 1 18.219 * [backup-simplify]: Simplify (/ -1 1) into -1 18.219 * [backup-simplify]: Simplify (log -1) into (log -1) 18.219 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 18.220 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 18.221 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 18.221 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 18.222 * [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)))) 18.222 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* 2.0 PI)) k))) in n 18.222 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* 2.0 PI)) k)) in n 18.222 * [taylor]: Taking taylor expansion of -0.5 in n 18.222 * [backup-simplify]: Simplify -0.5 into -0.5 18.222 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 PI)) k) in n 18.222 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.222 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.222 * [taylor]: Taking taylor expansion of 2.0 in n 18.222 * [backup-simplify]: Simplify 2.0 into 2.0 18.222 * [taylor]: Taking taylor expansion of PI in n 18.222 * [backup-simplify]: Simplify PI into PI 18.223 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.224 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.224 * [taylor]: Taking taylor expansion of k in n 18.224 * [backup-simplify]: Simplify k into k 18.225 * [backup-simplify]: Simplify (/ (log (* 2.0 PI)) k) into (/ (log (* 2.0 PI)) k) 18.226 * [backup-simplify]: Simplify (* -0.5 (/ (log (* 2.0 PI)) k)) into (* -0.5 (/ (log (* 2.0 PI)) k)) 18.227 * [backup-simplify]: Simplify (exp (* -0.5 (/ (log (* 2.0 PI)) k))) into (exp (* -0.5 (/ (log (* 2.0 PI)) k))) 18.228 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) 18.228 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 18.228 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 18.228 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 18.228 * [taylor]: Taking taylor expansion of 0.5 in n 18.228 * [backup-simplify]: Simplify 0.5 into 0.5 18.228 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 18.228 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 18.228 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.228 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.228 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.228 * [taylor]: Taking taylor expansion of 1.0 in n 18.228 * [backup-simplify]: Simplify 1.0 into 1.0 18.228 * [taylor]: Taking taylor expansion of (log PI) in n 18.228 * [taylor]: Taking taylor expansion of PI in n 18.228 * [backup-simplify]: Simplify PI into PI 18.228 * [backup-simplify]: Simplify (log PI) into (log PI) 18.229 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.230 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.230 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.230 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.230 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.230 * [taylor]: Taking taylor expansion of 1.0 in n 18.230 * [backup-simplify]: Simplify 1.0 into 1.0 18.230 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.230 * [taylor]: Taking taylor expansion of 2.0 in n 18.230 * [backup-simplify]: Simplify 2.0 into 2.0 18.230 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.231 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.232 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.233 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 18.235 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 18.239 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 18.245 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 18.259 * [backup-simplify]: Simplify (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 18.264 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 18.269 * [backup-simplify]: Simplify (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 18.271 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 18.272 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 18.273 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 18.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 18.276 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 18.278 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 18.279 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 18.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 1) into 0 18.284 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)))) into 0 18.287 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 18.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.292 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 18.294 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 18.299 * [backup-simplify]: Simplify (- (/ 0 (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) (+ (* (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (/ (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))))) into (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 18.307 * [backup-simplify]: Simplify (+ (* (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 0) (* (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 18.313 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (* 0 (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 18.313 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) in n 18.313 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in n 18.313 * [taylor]: Taking taylor expansion of +nan.0 in n 18.313 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.313 * [taylor]: Taking taylor expansion of (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in n 18.313 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) in n 18.313 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 18.313 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 18.313 * [taylor]: Taking taylor expansion of 0.5 in n 18.313 * [backup-simplify]: Simplify 0.5 into 0.5 18.313 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 18.313 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 18.313 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.313 * [taylor]: Taking taylor expansion of k in n 18.313 * [backup-simplify]: Simplify k into k 18.313 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.313 * [taylor]: Taking taylor expansion of 1.0 in n 18.313 * [backup-simplify]: Simplify 1.0 into 1.0 18.313 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 18.313 * [taylor]: Taking taylor expansion of (/ -1 n) in n 18.313 * [taylor]: Taking taylor expansion of -1 in n 18.313 * [backup-simplify]: Simplify -1 into -1 18.313 * [taylor]: Taking taylor expansion of n in n 18.313 * [backup-simplify]: Simplify 0 into 0 18.313 * [backup-simplify]: Simplify 1 into 1 18.313 * [backup-simplify]: Simplify (/ -1 1) into -1 18.314 * [backup-simplify]: Simplify (log -1) into (log -1) 18.314 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 18.314 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 18.315 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 18.315 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 18.315 * [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)))) 18.315 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* 2.0 PI)) k))) in n 18.315 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* 2.0 PI)) k)) in n 18.315 * [taylor]: Taking taylor expansion of -0.5 in n 18.315 * [backup-simplify]: Simplify -0.5 into -0.5 18.315 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 PI)) k) in n 18.315 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.315 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.315 * [taylor]: Taking taylor expansion of 2.0 in n 18.315 * [backup-simplify]: Simplify 2.0 into 2.0 18.316 * [taylor]: Taking taylor expansion of PI in n 18.316 * [backup-simplify]: Simplify PI into PI 18.316 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.316 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.317 * [taylor]: Taking taylor expansion of k in n 18.317 * [backup-simplify]: Simplify k into k 18.317 * [backup-simplify]: Simplify (/ (log (* 2.0 PI)) k) into (/ (log (* 2.0 PI)) k) 18.318 * [backup-simplify]: Simplify (* -0.5 (/ (log (* 2.0 PI)) k)) into (* -0.5 (/ (log (* 2.0 PI)) k)) 18.319 * [backup-simplify]: Simplify (exp (* -0.5 (/ (log (* 2.0 PI)) k))) into (exp (* -0.5 (/ (log (* 2.0 PI)) k))) 18.320 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) 18.320 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 18.320 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 18.320 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 18.320 * [taylor]: Taking taylor expansion of 0.5 in n 18.320 * [backup-simplify]: Simplify 0.5 into 0.5 18.320 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 18.320 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 18.320 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.320 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.320 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.320 * [taylor]: Taking taylor expansion of 1.0 in n 18.320 * [backup-simplify]: Simplify 1.0 into 1.0 18.320 * [taylor]: Taking taylor expansion of (log PI) in n 18.320 * [taylor]: Taking taylor expansion of PI in n 18.320 * [backup-simplify]: Simplify PI into PI 18.320 * [backup-simplify]: Simplify (log PI) into (log PI) 18.321 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.322 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.322 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.322 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.322 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.322 * [taylor]: Taking taylor expansion of 1.0 in n 18.322 * [backup-simplify]: Simplify 1.0 into 1.0 18.322 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.322 * [taylor]: Taking taylor expansion of 2.0 in n 18.322 * [backup-simplify]: Simplify 2.0 into 2.0 18.322 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.323 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.324 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.325 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 18.327 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 18.331 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 18.337 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 18.347 * [backup-simplify]: Simplify (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 18.352 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 18.357 * [backup-simplify]: Simplify (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 18.362 * [backup-simplify]: Simplify (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 18.364 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 18.365 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 18.367 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 18.368 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 18.369 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 18.371 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 18.372 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 18.375 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 1) into 0 18.377 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)))) into 0 18.380 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 18.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.383 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 18.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 18.383 * [backup-simplify]: Simplify (+ 0 0) into 0 18.395 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 18.396 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 18.397 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 18.399 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 18.399 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 18.401 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 18.403 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ (log (* 2.0 PI)) k) (/ 0 k)))) into 0 18.404 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 (/ (log (* 2.0 PI)) k))) into 0 18.406 * [backup-simplify]: Simplify (* (exp (* -0.5 (/ (log (* 2.0 PI)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 18.411 * [backup-simplify]: Simplify (- (/ 0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (+ (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (/ 0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into 0 18.415 * [backup-simplify]: Simplify (+ (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) 0) (* 0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 18.420 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into 0 18.420 * [backup-simplify]: Simplify 0 into 0 18.424 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 18.425 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log 2.0)))) into 0 18.427 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.430 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 18.432 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log PI)))) into 0 18.434 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.436 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (+ (* 0 0) (* 0 (pow 2.0 1.0)))) into 0 18.441 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 2) into 0 18.444 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))))) into 0 18.449 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.454 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 18.456 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 18.461 * [backup-simplify]: Simplify (- (/ 0 (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) (+ (* (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (/ (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) (* (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) (/ (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))))) into (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 18.469 * [backup-simplify]: Simplify (+ (* (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 0) (+ (* (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 0) (* (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5)))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 18.477 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (+ (* 0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (* 0 (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 18.477 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) in n 18.477 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in n 18.477 * [taylor]: Taking taylor expansion of +nan.0 in n 18.477 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.477 * [taylor]: Taking taylor expansion of (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in n 18.477 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) in n 18.477 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 18.477 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 18.477 * [taylor]: Taking taylor expansion of 0.5 in n 18.477 * [backup-simplify]: Simplify 0.5 into 0.5 18.477 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 18.477 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 18.477 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.477 * [taylor]: Taking taylor expansion of k in n 18.477 * [backup-simplify]: Simplify k into k 18.477 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.477 * [taylor]: Taking taylor expansion of 1.0 in n 18.477 * [backup-simplify]: Simplify 1.0 into 1.0 18.477 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 18.477 * [taylor]: Taking taylor expansion of (/ -1 n) in n 18.477 * [taylor]: Taking taylor expansion of -1 in n 18.477 * [backup-simplify]: Simplify -1 into -1 18.477 * [taylor]: Taking taylor expansion of n in n 18.477 * [backup-simplify]: Simplify 0 into 0 18.477 * [backup-simplify]: Simplify 1 into 1 18.478 * [backup-simplify]: Simplify (/ -1 1) into -1 18.478 * [backup-simplify]: Simplify (log -1) into (log -1) 18.478 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 18.479 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 18.479 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 18.479 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 18.480 * [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)))) 18.480 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* 2.0 PI)) k))) in n 18.480 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* 2.0 PI)) k)) in n 18.480 * [taylor]: Taking taylor expansion of -0.5 in n 18.480 * [backup-simplify]: Simplify -0.5 into -0.5 18.480 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 PI)) k) in n 18.480 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.480 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.480 * [taylor]: Taking taylor expansion of 2.0 in n 18.480 * [backup-simplify]: Simplify 2.0 into 2.0 18.480 * [taylor]: Taking taylor expansion of PI in n 18.480 * [backup-simplify]: Simplify PI into PI 18.480 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.481 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.481 * [taylor]: Taking taylor expansion of k in n 18.481 * [backup-simplify]: Simplify k into k 18.482 * [backup-simplify]: Simplify (/ (log (* 2.0 PI)) k) into (/ (log (* 2.0 PI)) k) 18.482 * [backup-simplify]: Simplify (* -0.5 (/ (log (* 2.0 PI)) k)) into (* -0.5 (/ (log (* 2.0 PI)) k)) 18.483 * [backup-simplify]: Simplify (exp (* -0.5 (/ (log (* 2.0 PI)) k))) into (exp (* -0.5 (/ (log (* 2.0 PI)) k))) 18.484 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) 18.484 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 18.484 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 18.484 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 18.484 * [taylor]: Taking taylor expansion of 0.5 in n 18.484 * [backup-simplify]: Simplify 0.5 into 0.5 18.484 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 18.484 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 18.484 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.484 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.484 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.484 * [taylor]: Taking taylor expansion of 1.0 in n 18.484 * [backup-simplify]: Simplify 1.0 into 1.0 18.484 * [taylor]: Taking taylor expansion of (log PI) in n 18.484 * [taylor]: Taking taylor expansion of PI in n 18.484 * [backup-simplify]: Simplify PI into PI 18.485 * [backup-simplify]: Simplify (log PI) into (log PI) 18.485 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.486 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.486 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.486 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.486 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.486 * [taylor]: Taking taylor expansion of 1.0 in n 18.486 * [backup-simplify]: Simplify 1.0 into 1.0 18.486 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.487 * [taylor]: Taking taylor expansion of 2.0 in n 18.487 * [backup-simplify]: Simplify 2.0 into 2.0 18.487 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.487 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.488 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.490 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 18.493 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 18.501 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 18.511 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 18.522 * [backup-simplify]: Simplify (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 18.527 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 18.543 * [backup-simplify]: Simplify (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 18.547 * [backup-simplify]: Simplify (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 18.557 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) (/ 1 (- k)))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) (/ 1 (- k)))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) (/ 1 (- k)))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* k (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* (pow k 2) (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* k (log (* 2.0 PI)))))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 18.557 * * * [progress]: simplifying candidates 18.561 * [simplify]: Simplifying: (* (+ (log 2.0) (log PI)) (/ 1.0 2.0)) (* (log (* 2.0 PI)) (/ 1.0 2.0)) (* (log (* 2.0 PI)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* 2.0 PI) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* 2.0 PI) (sqrt (/ 1.0 2.0))) (pow (* 2.0 PI) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* 2.0 PI) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt 1.0) 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) (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)) (log (pow (* 2.0 PI) (/ 1.0 2.0))) (exp (pow (* 2.0 PI) (/ 1.0 2.0))) (* (cbrt (pow (* 2.0 PI) (/ 1.0 2.0))) (cbrt (pow (* 2.0 PI) (/ 1.0 2.0)))) (cbrt (pow (* 2.0 PI) (/ 1.0 2.0))) (* (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0))) (pow (* 2.0 PI) (/ 1.0 2.0))) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0))) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0))) (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2)) (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2)) (* (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)) (- (+ (log 1.0) (* (+ (log 2.0) (log PI)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log 2.0) (log PI)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log 2.0) (log PI)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* 2.0 PI)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log 2.0) (log PI)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* 2.0 PI)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log 2.0) (log PI)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* 2.0 PI) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log 2.0) (log PI)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* 2.0 PI)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log 2.0) (log PI)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* 2.0 PI)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* 2.0 PI)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* 2.0 PI)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* 2.0 PI)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* 2.0 PI)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* 2.0 PI) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* 2.0 PI)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* 2.0 PI)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log 2.0) (log PI)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* 2.0 PI)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* 2.0 PI)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* 2.0 PI)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* 2.0 PI)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* 2.0 PI)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* 2.0 PI) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* 2.0 PI)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* 2.0 PI) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log 2.0) (log PI)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* 2.0 PI) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* 2.0 PI)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* 2.0 PI) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* 2.0 PI)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* 2.0 PI) (/ 1.0 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(- (+ (* +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* (pow k 2) (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* k (log (* 2.0 PI)))))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 18.570 * * [simplify]: Extracting # 0 : cost 0 18.570 * * [simplify]: Extracting # 1 : cost 0 18.570 * * [simplify]: Extracting # 2 : cost 0 18.571 * * [simplify]: Extracting # 3 : cost 0 18.571 * * [simplify]: Extracting # 4 : cost 0 18.572 * * [simplify]: Extracting # 5 : cost 0 18.572 * * [simplify]: Extracting # 6 : cost 0 18.573 * * [simplify]: Extracting # 7 : cost 0 18.573 * * [simplify]: Extracting # 8 : cost 0 18.574 * * [simplify]: Extracting # 9 : cost 0 18.575 * * [simplify]: Extracting # 10 : cost 0 18.575 * * [simplify]: Extracting # 11 : cost 0 18.576 * * [simplify]: Extracting # 12 : cost 0 18.576 * * [simplify]: Extracting # 13 : cost 0 18.577 * * [simplify]: Extracting # 14 : cost 0 18.578 * * [simplify]: Extracting # 15 : cost 0 18.578 * * [simplify]: Extracting # 16 : cost 0 18.579 * * [simplify]: Extracting # 17 : cost 0 18.580 * * [simplify]: Extracting # 18 : cost 0 18.580 * * [simplify]: Extracting # 19 : cost 0 18.581 * * [simplify]: Extracting # 20 : cost 0 18.581 * * [simplify]: Extracting # 21 : cost 0 18.582 * * [simplify]: Extracting # 22 : cost 0 18.583 * * [simplify]: Extracting # 23 : cost 0 18.585 * * [simplify]: Extracting # 24 : cost 0 18.586 * * [simplify]: Extracting # 25 : cost 0 18.587 * * [simplify]: Extracting # 26 : cost 0 18.589 * * [simplify]: Extracting # 27 : cost 0 18.590 * * [simplify]: Extracting # 28 : cost 0 18.591 * * [simplify]: Extracting # 29 : cost 0 18.593 * * [simplify]: Extracting # 30 : cost 0 18.594 * * [simplify]: Extracting # 31 : cost 0 18.595 * * [simplify]: Extracting # 32 : cost 0 18.597 * * [simplify]: Extracting # 33 : cost 0 18.598 * * [simplify]: Extracting # 34 : cost 0 18.599 * * [simplify]: Extracting # 35 : cost 0 18.601 * * [simplify]: Extracting # 36 : cost 0 18.602 * * [simplify]: iteration 0 : 422 enodes (cost 6480 ) 18.740 * * [simplify]: Extracting # 0 : cost 0 18.741 * * [simplify]: Extracting # 1 : cost 0 18.743 * * [simplify]: Extracting # 2 : cost 0 18.745 * * [simplify]: Extracting # 3 : cost 0 18.746 * * [simplify]: Extracting # 4 : cost 0 18.748 * * [simplify]: Extracting # 5 : cost 0 18.749 * * [simplify]: Extracting # 6 : cost 0 18.751 * * [simplify]: iteration 1 : 1169 enodes (cost 5849 ) 19.378 * * [simplify]: Extracting # 0 : cost 0 19.385 * * [simplify]: Extracting # 1 : cost 0 19.390 * * [simplify]: Extracting # 2 : cost 0 19.398 * * [simplify]: Extracting # 3 : cost 0 19.408 * * [simplify]: Extracting # 4 : cost 0 19.419 * * [simplify]: Extracting # 5 : cost 0 19.432 * * [simplify]: Extracting # 6 : cost 0 19.444 * * [simplify]: iteration 2 : 4404 enodes (cost 5400 ) 21.056 * * [simplify]: Extracting # 0 : cost 0 21.068 * * [simplify]: Extracting # 1 : cost 0 21.080 * * [simplify]: Extracting # 2 : cost 0 21.092 * * [simplify]: Extracting # 3 : cost 0 21.103 * * [simplify]: Extracting # 4 : cost 0 21.119 * * [simplify]: iteration done: 5000 enodes (cost 5378 ) 21.121 * [simplify]: Simplified to: (log (pow (* 2.0 PI) (/ 1.0 2.0))) (log (pow (* 2.0 PI) (/ 1.0 2.0))) (log (pow (* 2.0 PI) (/ 1.0 2.0))) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* 2.0 PI) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* 2.0 PI) (sqrt (/ 1.0 2.0))) (pow (* 2.0 PI) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* 2.0 PI) (* (cbrt 1.0) (cbrt 1.0))) (pow (* 2.0 PI) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* 2.0 PI) (sqrt 1.0)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (* 2.0 PI) (pow (* 2.0 PI) 1.0) (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)) (log (pow (* 2.0 PI) (/ 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PI 1.0) (pow 2.0 1.0)) 0.5) (- +nan.0 (* +nan.0 k))))))) (+ (* (/ (/ (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow k 3)) (pow (* 2.0 PI) (* 0.5 k))) (- +nan.0)) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (- (* +nan.0 (/ (pow (pow (* 2.0 PI) k) (- 0.5)) (pow k 2))) (* (/ (pow (pow (* 2.0 PI) k) (- 0.5)) k) +nan.0)))) (+ (* +nan.0 (- (/ (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (* 2.0 PI) (* 0.5 k))))) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (- (* +nan.0 (/ (pow (pow (* 2.0 PI) k) (- 0.5)) (pow k 2))) (* (/ (pow (pow (* 2.0 PI) k) (- 0.5)) 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)) (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 k 2) (log (* 2.0 PI))) (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 (- (* (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))))))))))) (+ (- (* (* (/ (pow (pow (/ 1 n) (- 1.0 k)) -0.5) (pow (* 2.0 PI) (* 0.5 k))) (/ (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) k)) +nan.0)) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (- (* +nan.0 (/ (/ (pow (pow (/ 1 n) (- 1.0 k)) -0.5) (pow (* 2.0 PI) (* 0.5 k))) (pow k 2))) (* (/ (pow (pow (/ 1 n) (- 1.0 k)) -0.5) (* (pow k 3) (pow (* 2.0 PI) (* 0.5 k)))) +nan.0)))) (+ (* (* (exp (* 0.5 (- (* (- 1.0 k) (- (log -1) (log (/ -1 n)))) (* k (log (* 2.0 PI)))))) (/ (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) k)) (- +nan.0)) (* +nan.0 (- (* (exp (* 0.5 (- (* (- 1.0 k) (- (log -1) (log (/ -1 n)))) (* k (log (* 2.0 PI)))))) (/ (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow k 2))) (* (exp (* 0.5 (- (* (- 1.0 k) (- (log -1) (log (/ -1 n)))) (* k (log (* 2.0 PI)))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 21.123 * * * [progress]: adding candidates to table 21.817 * [progress]: [Phase 3 of 3] Extracting. 21.817 * * [regime]: Finding splitpoints for: (# # # # # #) 21.820 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 21.820 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # #) 21.875 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # #) 21.916 * * * * [regimes]: Trying to branch on n from (# # # # # #) 21.944 * * * * [regimes]: Trying to branch on k from (# # # # # #) 21.998 * * * [regime]: Found split indices: #