17.094 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.091 * * * [progress]: [2/2] Setting up program. 0.093 * [progress]: [Phase 2 of 3] Improving. 0.094 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.094 * * [simplify]: Extracting # 0 : cost 0 0.094 * * [simplify]: Extracting # 1 : cost 0 0.094 * * [simplify]: Extracting # 2 : cost 0 0.094 * * [simplify]: Extracting # 3 : cost 0 0.094 * * [simplify]: Extracting # 4 : cost 0 0.094 * * [simplify]: Extracting # 5 : cost 0 0.094 * * [simplify]: Extracting # 6 : cost 0 0.094 * * [simplify]: Extracting # 7 : cost 0 0.094 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.097 * * [simplify]: Extracting # 0 : cost 0 0.097 * * [simplify]: Extracting # 1 : cost 0 0.097 * * [simplify]: Extracting # 2 : cost 0 0.097 * * [simplify]: Extracting # 3 : cost 0 0.097 * * [simplify]: Extracting # 4 : cost 0 0.097 * * [simplify]: Extracting # 5 : cost 0 0.097 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.103 * * [simplify]: Extracting # 0 : cost 0 0.103 * * [simplify]: Extracting # 1 : cost 0 0.103 * * [simplify]: Extracting # 2 : cost 0 0.103 * * [simplify]: Extracting # 3 : cost 0 0.103 * * [simplify]: Extracting # 4 : cost 0 0.103 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.114 * * [simplify]: Extracting # 0 : cost 0 0.114 * * [simplify]: Extracting # 1 : cost 0 0.114 * * [simplify]: Extracting # 2 : cost 0 0.115 * * [simplify]: Extracting # 3 : cost 0 0.115 * * [simplify]: Extracting # 4 : cost 0 0.115 * * [simplify]: iteration 3 : 119 enodes (cost 16 ) 0.147 * * [simplify]: Extracting # 0 : cost 0 0.148 * * [simplify]: Extracting # 1 : cost 0 0.148 * * [simplify]: Extracting # 2 : cost 0 0.148 * * [simplify]: Extracting # 3 : cost 0 0.149 * * [simplify]: Extracting # 4 : cost 0 0.149 * * [simplify]: iteration 4 : 313 enodes (cost 16 ) 0.290 * * [simplify]: Extracting # 0 : cost 0 0.291 * * [simplify]: Extracting # 1 : cost 0 0.291 * * [simplify]: Extracting # 2 : cost 0 0.292 * * [simplify]: Extracting # 3 : cost 0 0.293 * * [simplify]: Extracting # 4 : cost 0 0.293 * * [simplify]: iteration 5 : 843 enodes (cost 16 ) 1.462 * * [simplify]: Extracting # 0 : cost 0 1.466 * * [simplify]: Extracting # 1 : cost 0 1.469 * * [simplify]: Extracting # 2 : cost 0 1.472 * * [simplify]: Extracting # 3 : cost 0 1.478 * * [simplify]: Extracting # 4 : cost 0 1.481 * * [simplify]: iteration 6 : 3221 enodes (cost 16 ) 2.530 * * [simplify]: Extracting # 0 : cost 0 2.536 * * [simplify]: Extracting # 1 : cost 0 2.540 * * [simplify]: Extracting # 2 : cost 0 2.545 * * [simplify]: Extracting # 3 : cost 0 2.549 * * [simplify]: Extracting # 4 : cost 0 2.554 * * [simplify]: iteration done: 5001 enodes (cost 16 ) 2.554 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 2.554 * * [progress]: iteration 1 / 4 2.555 * * * [progress]: picking best candidate 2.557 * * * * [pick]: Picked # 2.557 * * * [progress]: localizing error 2.574 * * * [progress]: generating rewritten candidates 2.574 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.594 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.611 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.617 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.661 * * * [progress]: generating series expansions 2.661 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.662 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 2.662 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.662 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.662 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.662 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.662 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.663 * [taylor]: Taking taylor expansion of 0.5 in k 2.663 * [backup-simplify]: Simplify 0.5 into 0.5 2.663 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.663 * [taylor]: Taking taylor expansion of 1.0 in k 2.663 * [backup-simplify]: Simplify 1.0 into 1.0 2.663 * [taylor]: Taking taylor expansion of k in k 2.663 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify 1 into 1 2.663 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.663 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.663 * [taylor]: Taking taylor expansion of 2.0 in k 2.663 * [backup-simplify]: Simplify 2.0 into 2.0 2.663 * [taylor]: Taking taylor expansion of (* n PI) in k 2.663 * [taylor]: Taking taylor expansion of n in k 2.663 * [backup-simplify]: Simplify n into n 2.663 * [taylor]: Taking taylor expansion of PI in k 2.663 * [backup-simplify]: Simplify PI into PI 2.663 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.663 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.663 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.663 * [backup-simplify]: Simplify (- 0) into 0 2.664 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.664 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.664 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.664 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.664 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.664 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.664 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.664 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.664 * [taylor]: Taking taylor expansion of 0.5 in n 2.664 * [backup-simplify]: Simplify 0.5 into 0.5 2.664 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.664 * [taylor]: Taking taylor expansion of 1.0 in n 2.664 * [backup-simplify]: Simplify 1.0 into 1.0 2.664 * [taylor]: Taking taylor expansion of k in n 2.664 * [backup-simplify]: Simplify k into k 2.664 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.664 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.664 * [taylor]: Taking taylor expansion of 2.0 in n 2.664 * [backup-simplify]: Simplify 2.0 into 2.0 2.664 * [taylor]: Taking taylor expansion of (* n PI) in n 2.664 * [taylor]: Taking taylor expansion of n in n 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify 1 into 1 2.664 * [taylor]: Taking taylor expansion of PI in n 2.664 * [backup-simplify]: Simplify PI into PI 2.665 * [backup-simplify]: Simplify (* 0 PI) into 0 2.665 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.666 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.667 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.668 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.668 * [backup-simplify]: Simplify (- k) into (- k) 2.668 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.668 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.669 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.669 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 2.670 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2.670 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.670 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.670 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.670 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.670 * [taylor]: Taking taylor expansion of 0.5 in n 2.670 * [backup-simplify]: Simplify 0.5 into 0.5 2.670 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.670 * [taylor]: Taking taylor expansion of 1.0 in n 2.670 * [backup-simplify]: Simplify 1.0 into 1.0 2.670 * [taylor]: Taking taylor expansion of k in n 2.670 * [backup-simplify]: Simplify k into k 2.670 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.670 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.670 * [taylor]: Taking taylor expansion of 2.0 in n 2.670 * [backup-simplify]: Simplify 2.0 into 2.0 2.670 * [taylor]: Taking taylor expansion of (* n PI) in n 2.670 * [taylor]: Taking taylor expansion of n in n 2.670 * [backup-simplify]: Simplify 0 into 0 2.670 * [backup-simplify]: Simplify 1 into 1 2.670 * [taylor]: Taking taylor expansion of PI in n 2.670 * [backup-simplify]: Simplify PI into PI 2.671 * [backup-simplify]: Simplify (* 0 PI) into 0 2.671 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.672 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.672 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.673 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.673 * [backup-simplify]: Simplify (- k) into (- k) 2.673 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.673 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.674 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.675 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 2.675 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2.675 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.675 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.675 * [taylor]: Taking taylor expansion of 0.5 in k 2.675 * [backup-simplify]: Simplify 0.5 into 0.5 2.675 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.676 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.676 * [taylor]: Taking taylor expansion of 1.0 in k 2.676 * [backup-simplify]: Simplify 1.0 into 1.0 2.676 * [taylor]: Taking taylor expansion of k in k 2.676 * [backup-simplify]: Simplify 0 into 0 2.676 * [backup-simplify]: Simplify 1 into 1 2.676 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.676 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.676 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.676 * [taylor]: Taking taylor expansion of 2.0 in k 2.676 * [backup-simplify]: Simplify 2.0 into 2.0 2.676 * [taylor]: Taking taylor expansion of PI in k 2.676 * [backup-simplify]: Simplify PI into PI 2.676 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.677 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.677 * [taylor]: Taking taylor expansion of (log n) in k 2.677 * [taylor]: Taking taylor expansion of n in k 2.677 * [backup-simplify]: Simplify n into n 2.677 * [backup-simplify]: Simplify (log n) into (log n) 2.677 * [backup-simplify]: Simplify (- 0) into 0 2.677 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.678 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 2.678 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 2.679 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 2.680 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.680 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.681 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.681 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.682 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.683 * [backup-simplify]: Simplify (- 0) into 0 2.683 * [backup-simplify]: Simplify (+ 0 0) into 0 2.683 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 2.684 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.685 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 2.686 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.686 * [taylor]: Taking taylor expansion of 0 in k 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.687 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.688 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 2.688 * [backup-simplify]: Simplify (+ 0 0) into 0 2.688 * [backup-simplify]: Simplify (- 1) into -1 2.688 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.689 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 2.690 * [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)))) 2.692 * [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)))))) 2.694 * [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)))))) 2.695 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.695 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.697 * [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 2.697 * [backup-simplify]: Simplify (- 0) into 0 2.697 * [backup-simplify]: Simplify (+ 0 0) into 0 2.698 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 2.699 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.700 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.701 * [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 2.701 * [taylor]: Taking taylor expansion of 0 in k 2.701 * [backup-simplify]: Simplify 0 into 0 2.701 * [backup-simplify]: Simplify 0 into 0 2.701 * [backup-simplify]: Simplify 0 into 0 2.702 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.707 * [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 2.709 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 2.709 * [backup-simplify]: Simplify (+ 0 0) into 0 2.709 * [backup-simplify]: Simplify (- 0) into 0 2.709 * [backup-simplify]: Simplify (+ 0 0) into 0 2.710 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.712 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 2.714 * [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)))))) 2.717 * [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)))))) 2.723 * [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)))))) 2.723 * [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)))) 2.723 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.723 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.723 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.723 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.723 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.723 * [taylor]: Taking taylor expansion of 0.5 in k 2.723 * [backup-simplify]: Simplify 0.5 into 0.5 2.723 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.723 * [taylor]: Taking taylor expansion of 1.0 in k 2.723 * [backup-simplify]: Simplify 1.0 into 1.0 2.723 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.723 * [taylor]: Taking taylor expansion of k in k 2.723 * [backup-simplify]: Simplify 0 into 0 2.724 * [backup-simplify]: Simplify 1 into 1 2.724 * [backup-simplify]: Simplify (/ 1 1) into 1 2.724 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.724 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.724 * [taylor]: Taking taylor expansion of 2.0 in k 2.724 * [backup-simplify]: Simplify 2.0 into 2.0 2.724 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.724 * [taylor]: Taking taylor expansion of PI in k 2.724 * [backup-simplify]: Simplify PI into PI 2.724 * [taylor]: Taking taylor expansion of n in k 2.724 * [backup-simplify]: Simplify n into n 2.724 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.724 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.724 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.724 * [backup-simplify]: Simplify (- 1) into -1 2.724 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.725 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.725 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.725 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2.725 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.725 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.725 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.725 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.725 * [taylor]: Taking taylor expansion of 0.5 in n 2.725 * [backup-simplify]: Simplify 0.5 into 0.5 2.725 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.725 * [taylor]: Taking taylor expansion of 1.0 in n 2.725 * [backup-simplify]: Simplify 1.0 into 1.0 2.725 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.725 * [taylor]: Taking taylor expansion of k in n 2.725 * [backup-simplify]: Simplify k into k 2.725 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.725 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.725 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.725 * [taylor]: Taking taylor expansion of 2.0 in n 2.725 * [backup-simplify]: Simplify 2.0 into 2.0 2.725 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.725 * [taylor]: Taking taylor expansion of PI in n 2.725 * [backup-simplify]: Simplify PI into PI 2.725 * [taylor]: Taking taylor expansion of n in n 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify 1 into 1 2.726 * [backup-simplify]: Simplify (/ PI 1) into PI 2.726 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.727 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.727 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.727 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.727 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.728 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.728 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.729 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.729 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.729 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.729 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.729 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.729 * [taylor]: Taking taylor expansion of 0.5 in n 2.729 * [backup-simplify]: Simplify 0.5 into 0.5 2.729 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.729 * [taylor]: Taking taylor expansion of 1.0 in n 2.729 * [backup-simplify]: Simplify 1.0 into 1.0 2.729 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.729 * [taylor]: Taking taylor expansion of k in n 2.729 * [backup-simplify]: Simplify k into k 2.729 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.729 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.729 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.729 * [taylor]: Taking taylor expansion of 2.0 in n 2.729 * [backup-simplify]: Simplify 2.0 into 2.0 2.729 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.729 * [taylor]: Taking taylor expansion of PI in n 2.729 * [backup-simplify]: Simplify PI into PI 2.729 * [taylor]: Taking taylor expansion of n in n 2.729 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify 1 into 1 2.730 * [backup-simplify]: Simplify (/ PI 1) into PI 2.730 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.730 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.731 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.731 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.731 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.731 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.732 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.733 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.733 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.733 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.733 * [taylor]: Taking taylor expansion of 0.5 in k 2.733 * [backup-simplify]: Simplify 0.5 into 0.5 2.733 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.733 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.733 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.733 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.733 * [taylor]: Taking taylor expansion of 2.0 in k 2.733 * [backup-simplify]: Simplify 2.0 into 2.0 2.733 * [taylor]: Taking taylor expansion of PI in k 2.733 * [backup-simplify]: Simplify PI into PI 2.733 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.734 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.734 * [taylor]: Taking taylor expansion of (log n) in k 2.734 * [taylor]: Taking taylor expansion of n in k 2.734 * [backup-simplify]: Simplify n into n 2.734 * [backup-simplify]: Simplify (log n) into (log n) 2.734 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.734 * [taylor]: Taking taylor expansion of 1.0 in k 2.734 * [backup-simplify]: Simplify 1.0 into 1.0 2.734 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.734 * [taylor]: Taking taylor expansion of k in k 2.734 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify 1 into 1 2.734 * [backup-simplify]: Simplify (/ 1 1) into 1 2.734 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.735 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 2.735 * [backup-simplify]: Simplify (- 1) into -1 2.736 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.736 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 2.737 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 2.737 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.738 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.739 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.740 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.740 * [backup-simplify]: Simplify (- 0) into 0 2.741 * [backup-simplify]: Simplify (+ 0 0) into 0 2.741 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 2.742 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.742 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 2.743 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.743 * [taylor]: Taking taylor expansion of 0 in k 2.743 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.745 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.746 * [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 2.746 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.747 * [backup-simplify]: Simplify (- 0) into 0 2.747 * [backup-simplify]: Simplify (+ 0 0) into 0 2.747 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 2.748 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.749 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 2.750 * [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 2.750 * [taylor]: Taking taylor expansion of 0 in k 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.752 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.754 * [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 2.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.755 * [backup-simplify]: Simplify (- 0) into 0 2.755 * [backup-simplify]: Simplify (+ 0 0) into 0 2.756 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 2.757 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.758 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 2.759 * [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 2.759 * [taylor]: Taking taylor expansion of 0 in k 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify 0 into 0 2.760 * [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)))) 2.760 * [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))) 2.760 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.760 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.760 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.760 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.760 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.760 * [taylor]: Taking taylor expansion of 0.5 in k 2.760 * [backup-simplify]: Simplify 0.5 into 0.5 2.761 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.761 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.761 * [taylor]: Taking taylor expansion of k in k 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 1 into 1 2.761 * [backup-simplify]: Simplify (/ 1 1) into 1 2.761 * [taylor]: Taking taylor expansion of 1.0 in k 2.761 * [backup-simplify]: Simplify 1.0 into 1.0 2.761 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.761 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.761 * [taylor]: Taking taylor expansion of -2.0 in k 2.761 * [backup-simplify]: Simplify -2.0 into -2.0 2.761 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.761 * [taylor]: Taking taylor expansion of PI in k 2.761 * [backup-simplify]: Simplify PI into PI 2.761 * [taylor]: Taking taylor expansion of n in k 2.761 * [backup-simplify]: Simplify n into n 2.761 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.761 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.761 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.761 * [backup-simplify]: Simplify (+ 1 0) into 1 2.762 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.762 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.762 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2.762 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.762 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.762 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.762 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.762 * [taylor]: Taking taylor expansion of 0.5 in n 2.762 * [backup-simplify]: Simplify 0.5 into 0.5 2.762 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.762 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.762 * [taylor]: Taking taylor expansion of k in n 2.762 * [backup-simplify]: Simplify k into k 2.762 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.762 * [taylor]: Taking taylor expansion of 1.0 in n 2.762 * [backup-simplify]: Simplify 1.0 into 1.0 2.762 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.762 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.762 * [taylor]: Taking taylor expansion of -2.0 in n 2.762 * [backup-simplify]: Simplify -2.0 into -2.0 2.762 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.762 * [taylor]: Taking taylor expansion of PI in n 2.762 * [backup-simplify]: Simplify PI into PI 2.762 * [taylor]: Taking taylor expansion of n in n 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify 1 into 1 2.763 * [backup-simplify]: Simplify (/ PI 1) into PI 2.763 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.763 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.763 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.764 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.764 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.765 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.766 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.766 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.766 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.766 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.766 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.766 * [taylor]: Taking taylor expansion of 0.5 in n 2.766 * [backup-simplify]: Simplify 0.5 into 0.5 2.766 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.766 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.766 * [taylor]: Taking taylor expansion of k in n 2.766 * [backup-simplify]: Simplify k into k 2.766 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.766 * [taylor]: Taking taylor expansion of 1.0 in n 2.766 * [backup-simplify]: Simplify 1.0 into 1.0 2.766 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.766 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.766 * [taylor]: Taking taylor expansion of -2.0 in n 2.766 * [backup-simplify]: Simplify -2.0 into -2.0 2.766 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.766 * [taylor]: Taking taylor expansion of PI in n 2.766 * [backup-simplify]: Simplify PI into PI 2.766 * [taylor]: Taking taylor expansion of n in n 2.766 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify 1 into 1 2.767 * [backup-simplify]: Simplify (/ PI 1) into PI 2.767 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.768 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.768 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.768 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.769 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.769 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.770 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.770 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.770 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.770 * [taylor]: Taking taylor expansion of 0.5 in k 2.770 * [backup-simplify]: Simplify 0.5 into 0.5 2.770 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.770 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.770 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.770 * [taylor]: Taking taylor expansion of k in k 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify 1 into 1 2.771 * [backup-simplify]: Simplify (/ 1 1) into 1 2.771 * [taylor]: Taking taylor expansion of 1.0 in k 2.771 * [backup-simplify]: Simplify 1.0 into 1.0 2.771 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.771 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.771 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.771 * [taylor]: Taking taylor expansion of -2.0 in k 2.771 * [backup-simplify]: Simplify -2.0 into -2.0 2.771 * [taylor]: Taking taylor expansion of PI in k 2.771 * [backup-simplify]: Simplify PI into PI 2.771 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.772 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.772 * [taylor]: Taking taylor expansion of (log n) in k 2.772 * [taylor]: Taking taylor expansion of n in k 2.772 * [backup-simplify]: Simplify n into n 2.772 * [backup-simplify]: Simplify (log n) into (log n) 2.772 * [backup-simplify]: Simplify (+ 1 0) into 1 2.772 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.773 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 2.773 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 2.774 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 2.775 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.775 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.776 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.777 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 2.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.778 * [backup-simplify]: Simplify (+ 0 0) into 0 2.778 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 2.779 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.779 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 2.781 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.781 * [taylor]: Taking taylor expansion of 0 in k 2.781 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.782 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.783 * [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 2.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.784 * [backup-simplify]: Simplify (+ 0 0) into 0 2.784 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 2.785 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.786 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 2.787 * [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 2.787 * [taylor]: Taking taylor expansion of 0 in k 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.789 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.791 * [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 2.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.792 * [backup-simplify]: Simplify (+ 0 0) into 0 2.792 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 2.797 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.798 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 2.799 * [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 2.799 * [taylor]: Taking taylor expansion of 0 in k 2.799 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify 0 into 0 2.800 * [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)))))) 2.800 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.801 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 2.801 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.801 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.801 * [taylor]: Taking taylor expansion of 2.0 in n 2.801 * [backup-simplify]: Simplify 2.0 into 2.0 2.801 * [taylor]: Taking taylor expansion of (* n PI) in n 2.801 * [taylor]: Taking taylor expansion of n in n 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify 1 into 1 2.801 * [taylor]: Taking taylor expansion of PI in n 2.801 * [backup-simplify]: Simplify PI into PI 2.801 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.801 * [taylor]: Taking taylor expansion of 2.0 in n 2.801 * [backup-simplify]: Simplify 2.0 into 2.0 2.801 * [taylor]: Taking taylor expansion of (* n PI) in n 2.801 * [taylor]: Taking taylor expansion of n in n 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify 1 into 1 2.801 * [taylor]: Taking taylor expansion of PI in n 2.801 * [backup-simplify]: Simplify PI into PI 2.801 * [backup-simplify]: Simplify (* 0 PI) into 0 2.801 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.801 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.803 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.803 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.804 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.805 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.806 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.807 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.807 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.809 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.809 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.810 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 2.810 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.812 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 2.812 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 2.813 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 2.813 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.813 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.813 * [taylor]: Taking taylor expansion of 2.0 in n 2.813 * [backup-simplify]: Simplify 2.0 into 2.0 2.813 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.813 * [taylor]: Taking taylor expansion of PI in n 2.813 * [backup-simplify]: Simplify PI into PI 2.813 * [taylor]: Taking taylor expansion of n in n 2.813 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify 1 into 1 2.813 * [backup-simplify]: Simplify (/ PI 1) into PI 2.813 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.813 * [taylor]: Taking taylor expansion of 2.0 in n 2.813 * [backup-simplify]: Simplify 2.0 into 2.0 2.813 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.813 * [taylor]: Taking taylor expansion of PI in n 2.813 * [backup-simplify]: Simplify PI into PI 2.814 * [taylor]: Taking taylor expansion of n in n 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify 1 into 1 2.814 * [backup-simplify]: Simplify (/ PI 1) into PI 2.814 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.814 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.816 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.817 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.818 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.819 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.819 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.820 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.820 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.822 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.822 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 2.823 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 2.823 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.823 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.823 * [taylor]: Taking taylor expansion of -2.0 in n 2.823 * [backup-simplify]: Simplify -2.0 into -2.0 2.823 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.823 * [taylor]: Taking taylor expansion of PI in n 2.823 * [backup-simplify]: Simplify PI into PI 2.823 * [taylor]: Taking taylor expansion of n in n 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 1 into 1 2.823 * [backup-simplify]: Simplify (/ PI 1) into PI 2.823 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.823 * [taylor]: Taking taylor expansion of -2.0 in n 2.823 * [backup-simplify]: Simplify -2.0 into -2.0 2.823 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.823 * [taylor]: Taking taylor expansion of PI in n 2.823 * [backup-simplify]: Simplify PI into PI 2.823 * [taylor]: Taking taylor expansion of n in n 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 1 into 1 2.823 * [backup-simplify]: Simplify (/ PI 1) into PI 2.824 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.824 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.825 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.825 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.826 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.826 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.827 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.827 * [backup-simplify]: Simplify 0 into 0 2.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.828 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.830 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.831 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.831 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 2.832 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.832 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 2.832 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.832 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.832 * [taylor]: Taking taylor expansion of 1.0 in k 2.832 * [backup-simplify]: Simplify 1.0 into 1.0 2.832 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.832 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.832 * [taylor]: Taking taylor expansion of k in k 2.832 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify 1 into 1 2.832 * [backup-simplify]: Simplify (/ 1 1) into 1 2.832 * [backup-simplify]: Simplify (sqrt 0) into 0 2.833 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.833 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.833 * [taylor]: Taking taylor expansion of 1.0 in k 2.833 * [backup-simplify]: Simplify 1.0 into 1.0 2.833 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.833 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.833 * [taylor]: Taking taylor expansion of k in k 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify 1 into 1 2.834 * [backup-simplify]: Simplify (/ 1 1) into 1 2.834 * [backup-simplify]: Simplify (sqrt 0) into 0 2.834 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.835 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.835 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.836 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.838 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.839 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.839 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.842 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.843 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.843 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.844 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 2.844 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 2.844 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.844 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.844 * [taylor]: Taking taylor expansion of 1.0 in k 2.844 * [backup-simplify]: Simplify 1.0 into 1.0 2.844 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.844 * [taylor]: Taking taylor expansion of k in k 2.844 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify 1 into 1 2.844 * [backup-simplify]: Simplify (sqrt 0) into 0 2.845 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.845 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.845 * [taylor]: Taking taylor expansion of 1.0 in k 2.845 * [backup-simplify]: Simplify 1.0 into 1.0 2.845 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.845 * [taylor]: Taking taylor expansion of k in k 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 1 into 1 2.845 * [backup-simplify]: Simplify (sqrt 0) into 0 2.846 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.846 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.846 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.847 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.849 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.850 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.850 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.852 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.853 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.854 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.855 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 2.855 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 2.855 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.855 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.855 * [taylor]: Taking taylor expansion of 1.0 in k 2.855 * [backup-simplify]: Simplify 1.0 into 1.0 2.855 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.855 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.855 * [taylor]: Taking taylor expansion of -1 in k 2.855 * [backup-simplify]: Simplify -1 into -1 2.855 * [taylor]: Taking taylor expansion of k in k 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify 1 into 1 2.855 * [backup-simplify]: Simplify (/ -1 1) into -1 2.855 * [backup-simplify]: Simplify (sqrt 0) into 0 2.856 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.856 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.856 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.856 * [taylor]: Taking taylor expansion of 1.0 in k 2.856 * [backup-simplify]: Simplify 1.0 into 1.0 2.856 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.856 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.856 * [taylor]: Taking taylor expansion of -1 in k 2.856 * [backup-simplify]: Simplify -1 into -1 2.856 * [taylor]: Taking taylor expansion of k in k 2.857 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify 1 into 1 2.857 * [backup-simplify]: Simplify (/ -1 1) into -1 2.857 * [backup-simplify]: Simplify (sqrt 0) into 0 2.858 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.858 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.858 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.860 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.861 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.862 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.864 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.867 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.867 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.868 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 2.868 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.868 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) 2.868 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 2.868 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 2.868 * [taylor]: Taking taylor expansion of 1.0 in n 2.868 * [backup-simplify]: Simplify 1.0 into 1.0 2.868 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.868 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.868 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.868 * [taylor]: Taking taylor expansion of k in n 2.868 * [backup-simplify]: Simplify k into k 2.868 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.868 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 2.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 2.869 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.869 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.869 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.869 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.869 * [taylor]: Taking taylor expansion of 0.5 in n 2.869 * [backup-simplify]: Simplify 0.5 into 0.5 2.869 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.869 * [taylor]: Taking taylor expansion of 1.0 in n 2.869 * [backup-simplify]: Simplify 1.0 into 1.0 2.869 * [taylor]: Taking taylor expansion of k in n 2.869 * [backup-simplify]: Simplify k into k 2.869 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.869 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.869 * [taylor]: Taking taylor expansion of 2.0 in n 2.869 * [backup-simplify]: Simplify 2.0 into 2.0 2.869 * [taylor]: Taking taylor expansion of (* n PI) in n 2.869 * [taylor]: Taking taylor expansion of n in n 2.869 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify 1 into 1 2.869 * [taylor]: Taking taylor expansion of PI in n 2.869 * [backup-simplify]: Simplify PI into PI 2.869 * [backup-simplify]: Simplify (* 0 PI) into 0 2.869 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.870 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.871 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.872 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.872 * [backup-simplify]: Simplify (- k) into (- k) 2.872 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.872 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.873 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.874 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 2.875 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2.875 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.875 * [taylor]: Taking taylor expansion of 1.0 in k 2.875 * [backup-simplify]: Simplify 1.0 into 1.0 2.875 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.875 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.875 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.875 * [taylor]: Taking taylor expansion of k in k 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify 1 into 1 2.875 * [backup-simplify]: Simplify (/ 1 1) into 1 2.875 * [backup-simplify]: Simplify (sqrt 0) into 0 2.876 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.876 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.876 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.876 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.876 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.876 * [taylor]: Taking taylor expansion of 0.5 in k 2.876 * [backup-simplify]: Simplify 0.5 into 0.5 2.876 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.876 * [taylor]: Taking taylor expansion of 1.0 in k 2.876 * [backup-simplify]: Simplify 1.0 into 1.0 2.876 * [taylor]: Taking taylor expansion of k in k 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify 1 into 1 2.876 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.876 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.876 * [taylor]: Taking taylor expansion of 2.0 in k 2.876 * [backup-simplify]: Simplify 2.0 into 2.0 2.876 * [taylor]: Taking taylor expansion of (* n PI) in k 2.876 * [taylor]: Taking taylor expansion of n in k 2.876 * [backup-simplify]: Simplify n into n 2.876 * [taylor]: Taking taylor expansion of PI in k 2.876 * [backup-simplify]: Simplify PI into PI 2.876 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.877 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.877 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.877 * [backup-simplify]: Simplify (- 0) into 0 2.877 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.877 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.877 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.877 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.877 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.878 * [taylor]: Taking taylor expansion of 1.0 in k 2.878 * [backup-simplify]: Simplify 1.0 into 1.0 2.878 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.878 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.878 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.878 * [taylor]: Taking taylor expansion of k in k 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify 1 into 1 2.878 * [backup-simplify]: Simplify (/ 1 1) into 1 2.878 * [backup-simplify]: Simplify (sqrt 0) into 0 2.879 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.879 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.879 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.879 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.879 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.879 * [taylor]: Taking taylor expansion of 0.5 in k 2.879 * [backup-simplify]: Simplify 0.5 into 0.5 2.879 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.879 * [taylor]: Taking taylor expansion of 1.0 in k 2.879 * [backup-simplify]: Simplify 1.0 into 1.0 2.879 * [taylor]: Taking taylor expansion of k in k 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify 1 into 1 2.879 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.879 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.879 * [taylor]: Taking taylor expansion of 2.0 in k 2.879 * [backup-simplify]: Simplify 2.0 into 2.0 2.879 * [taylor]: Taking taylor expansion of (* n PI) in k 2.879 * [taylor]: Taking taylor expansion of n in k 2.879 * [backup-simplify]: Simplify n into n 2.879 * [taylor]: Taking taylor expansion of PI in k 2.879 * [backup-simplify]: Simplify PI into PI 2.879 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.879 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.879 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.880 * [backup-simplify]: Simplify (- 0) into 0 2.880 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.880 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.880 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.880 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.880 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 2.881 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.881 * [taylor]: Taking taylor expansion of 0 in n 2.881 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 2.881 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 2.882 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 2.882 * [backup-simplify]: Simplify (- 1) into -1 2.882 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.887 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 2.887 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 2.887 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.888 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 2.890 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.890 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.890 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.890 * [taylor]: Taking taylor expansion of +nan.0 in n 2.890 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.890 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.890 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.890 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.890 * [taylor]: Taking taylor expansion of 0.5 in n 2.890 * [backup-simplify]: Simplify 0.5 into 0.5 2.890 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.890 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.890 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.890 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.890 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.890 * [taylor]: Taking taylor expansion of 1.0 in n 2.890 * [backup-simplify]: Simplify 1.0 into 1.0 2.890 * [taylor]: Taking taylor expansion of (log PI) in n 2.890 * [taylor]: Taking taylor expansion of PI in n 2.890 * [backup-simplify]: Simplify PI into PI 2.890 * [backup-simplify]: Simplify (log PI) into (log PI) 2.891 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.892 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.892 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.892 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.892 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.892 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.892 * [taylor]: Taking taylor expansion of 1.0 in n 2.892 * [backup-simplify]: Simplify 1.0 into 1.0 2.892 * [taylor]: Taking taylor expansion of (log n) in n 2.892 * [taylor]: Taking taylor expansion of n in n 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 1 into 1 2.892 * [backup-simplify]: Simplify (log 1) into 0 2.892 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.892 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.892 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.892 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.892 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.892 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.892 * [taylor]: Taking taylor expansion of 1.0 in n 2.892 * [backup-simplify]: Simplify 1.0 into 1.0 2.892 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.892 * [taylor]: Taking taylor expansion of 2.0 in n 2.892 * [backup-simplify]: Simplify 2.0 into 2.0 2.893 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.893 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.894 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.894 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 2.895 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 2.896 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 2.897 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 2.897 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.898 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 2.899 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 2.900 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 2.901 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 2.902 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0 2.902 * [backup-simplify]: Simplify (- 0) into 0 2.902 * [backup-simplify]: Simplify (+ 0 0) into 0 2.903 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 2.904 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 2.904 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.906 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.908 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5)))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 2.911 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 2.911 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 2.911 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 2.911 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.911 * [taylor]: Taking taylor expansion of +nan.0 in n 2.911 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.911 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.911 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.911 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.911 * [taylor]: Taking taylor expansion of 0.5 in n 2.911 * [backup-simplify]: Simplify 0.5 into 0.5 2.911 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.911 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.911 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.911 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.911 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.911 * [taylor]: Taking taylor expansion of 1.0 in n 2.911 * [backup-simplify]: Simplify 1.0 into 1.0 2.911 * [taylor]: Taking taylor expansion of (log PI) in n 2.911 * [taylor]: Taking taylor expansion of PI in n 2.911 * [backup-simplify]: Simplify PI into PI 2.912 * [backup-simplify]: Simplify (log PI) into (log PI) 2.912 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.913 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.913 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.913 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.913 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.913 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.913 * [taylor]: Taking taylor expansion of 1.0 in n 2.913 * [backup-simplify]: Simplify 1.0 into 1.0 2.913 * [taylor]: Taking taylor expansion of (log n) in n 2.913 * [taylor]: Taking taylor expansion of n in n 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 1 into 1 2.914 * [backup-simplify]: Simplify (log 1) into 0 2.914 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.914 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.914 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.914 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.914 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.914 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.914 * [taylor]: Taking taylor expansion of 1.0 in n 2.914 * [backup-simplify]: Simplify 1.0 into 1.0 2.914 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.914 * [taylor]: Taking taylor expansion of 2.0 in n 2.914 * [backup-simplify]: Simplify 2.0 into 2.0 2.914 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.915 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.916 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.916 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 2.917 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 2.918 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 2.918 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 2.919 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.919 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 2.919 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.919 * [taylor]: Taking taylor expansion of +nan.0 in n 2.920 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.920 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.920 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.920 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.920 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.920 * [taylor]: Taking taylor expansion of 0.5 in n 2.920 * [backup-simplify]: Simplify 0.5 into 0.5 2.920 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.920 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.920 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.920 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.920 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.920 * [taylor]: Taking taylor expansion of 1.0 in n 2.920 * [backup-simplify]: Simplify 1.0 into 1.0 2.920 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.920 * [taylor]: Taking taylor expansion of 2.0 in n 2.920 * [backup-simplify]: Simplify 2.0 into 2.0 2.920 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.921 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.921 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.921 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.921 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.921 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.921 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.921 * [taylor]: Taking taylor expansion of 1.0 in n 2.922 * [backup-simplify]: Simplify 1.0 into 1.0 2.922 * [taylor]: Taking taylor expansion of (log PI) in n 2.922 * [taylor]: Taking taylor expansion of PI in n 2.922 * [backup-simplify]: Simplify PI into PI 2.922 * [backup-simplify]: Simplify (log PI) into (log PI) 2.922 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.923 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.923 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.923 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.923 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.923 * [taylor]: Taking taylor expansion of 1.0 in n 2.923 * [backup-simplify]: Simplify 1.0 into 1.0 2.923 * [taylor]: Taking taylor expansion of (log n) in n 2.923 * [taylor]: Taking taylor expansion of n in n 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify 1 into 1 2.924 * [backup-simplify]: Simplify (log 1) into 0 2.924 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.924 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.924 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.924 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.925 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.926 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.927 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.927 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.927 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.927 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.928 * [taylor]: Taking taylor expansion of 2.0 in n 2.928 * [backup-simplify]: Simplify 2.0 into 2.0 2.928 * [taylor]: Taking taylor expansion of (* n PI) in n 2.928 * [taylor]: Taking taylor expansion of n in n 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 1 into 1 2.928 * [taylor]: Taking taylor expansion of PI in n 2.928 * [backup-simplify]: Simplify PI into PI 2.928 * [backup-simplify]: Simplify (* 0 PI) into 0 2.928 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.929 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.930 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.930 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.931 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 2.932 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.934 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 2.935 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.936 * [backup-simplify]: Simplify (- (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 2.940 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 2.943 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 2.946 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 2.947 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 2.948 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 2.948 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 2.949 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.949 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.950 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 2.950 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 2.951 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 2.951 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 2.952 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 2.953 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 2.953 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 2.955 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0 2.956 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0 2.957 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.958 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 2.958 * [backup-simplify]: Simplify (- 0) into 0 2.958 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.959 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 2.961 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0 2.961 * [backup-simplify]: Simplify (- 0) into 0 2.962 * [backup-simplify]: Simplify (+ 0 0) into 0 2.962 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 2.963 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 2.964 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.967 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.970 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 2.979 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 2.979 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 2.979 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 2.979 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.979 * [taylor]: Taking taylor expansion of +nan.0 in n 2.979 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.979 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.979 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.979 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.979 * [taylor]: Taking taylor expansion of 0.5 in n 2.979 * [backup-simplify]: Simplify 0.5 into 0.5 2.979 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.980 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.980 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.980 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.980 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.980 * [taylor]: Taking taylor expansion of 1.0 in n 2.980 * [backup-simplify]: Simplify 1.0 into 1.0 2.980 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.980 * [taylor]: Taking taylor expansion of 2.0 in n 2.980 * [backup-simplify]: Simplify 2.0 into 2.0 2.980 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.981 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.981 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.981 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.981 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.981 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.981 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.981 * [taylor]: Taking taylor expansion of 1.0 in n 2.981 * [backup-simplify]: Simplify 1.0 into 1.0 2.982 * [taylor]: Taking taylor expansion of (log n) in n 2.982 * [taylor]: Taking taylor expansion of n in n 2.982 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify 1 into 1 2.982 * [backup-simplify]: Simplify (log 1) into 0 2.982 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.982 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.982 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.982 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.982 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.982 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.982 * [taylor]: Taking taylor expansion of 1.0 in n 2.982 * [backup-simplify]: Simplify 1.0 into 1.0 2.982 * [taylor]: Taking taylor expansion of (log PI) in n 2.982 * [taylor]: Taking taylor expansion of PI in n 2.982 * [backup-simplify]: Simplify PI into PI 2.983 * [backup-simplify]: Simplify (log PI) into (log PI) 2.983 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.984 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.984 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.985 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.986 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.987 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.987 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.987 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 2.988 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 2.988 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.988 * [taylor]: Taking taylor expansion of +nan.0 in n 2.988 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.988 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.988 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.988 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.988 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.988 * [taylor]: Taking taylor expansion of 0.5 in n 2.988 * [backup-simplify]: Simplify 0.5 into 0.5 2.988 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.988 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.988 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.988 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.988 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.988 * [taylor]: Taking taylor expansion of 1.0 in n 2.988 * [backup-simplify]: Simplify 1.0 into 1.0 2.988 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.988 * [taylor]: Taking taylor expansion of 2.0 in n 2.988 * [backup-simplify]: Simplify 2.0 into 2.0 2.988 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.989 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.990 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.990 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.990 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.990 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.990 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.990 * [taylor]: Taking taylor expansion of 1.0 in n 2.990 * [backup-simplify]: Simplify 1.0 into 1.0 2.990 * [taylor]: Taking taylor expansion of (log PI) in n 2.990 * [taylor]: Taking taylor expansion of PI in n 2.990 * [backup-simplify]: Simplify PI into PI 2.990 * [backup-simplify]: Simplify (log PI) into (log PI) 2.991 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.991 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.991 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.991 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.991 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.991 * [taylor]: Taking taylor expansion of 1.0 in n 2.992 * [backup-simplify]: Simplify 1.0 into 1.0 2.992 * [taylor]: Taking taylor expansion of (log n) in n 2.992 * [taylor]: Taking taylor expansion of n in n 2.992 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify 1 into 1 2.992 * [backup-simplify]: Simplify (log 1) into 0 2.992 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.992 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.992 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.993 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.993 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.994 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.995 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.996 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.996 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.996 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.996 * [taylor]: Taking taylor expansion of 2.0 in n 2.996 * [backup-simplify]: Simplify 2.0 into 2.0 2.996 * [taylor]: Taking taylor expansion of (* n PI) in n 2.996 * [taylor]: Taking taylor expansion of n in n 2.996 * [backup-simplify]: Simplify 0 into 0 2.996 * [backup-simplify]: Simplify 1 into 1 2.996 * [taylor]: Taking taylor expansion of PI in n 2.996 * [backup-simplify]: Simplify PI into PI 2.996 * [backup-simplify]: Simplify (* 0 PI) into 0 2.996 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.997 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.998 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.999 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.999 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 2.999 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 2.999 * [taylor]: Taking taylor expansion of +nan.0 in n 2.999 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.999 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 2.999 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.999 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.999 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.999 * [taylor]: Taking taylor expansion of 0.5 in n 2.999 * [backup-simplify]: Simplify 0.5 into 0.5 2.999 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.999 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.999 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.999 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.999 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.999 * [taylor]: Taking taylor expansion of 1.0 in n 2.999 * [backup-simplify]: Simplify 1.0 into 1.0 2.999 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.999 * [taylor]: Taking taylor expansion of 2.0 in n 2.999 * [backup-simplify]: Simplify 2.0 into 2.0 2.999 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.000 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.001 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.001 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.001 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.001 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.001 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.001 * [taylor]: Taking taylor expansion of 1.0 in n 3.001 * [backup-simplify]: Simplify 1.0 into 1.0 3.001 * [taylor]: Taking taylor expansion of (log PI) in n 3.001 * [taylor]: Taking taylor expansion of PI in n 3.001 * [backup-simplify]: Simplify PI into PI 3.001 * [backup-simplify]: Simplify (log PI) into (log PI) 3.001 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.002 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.002 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.002 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.002 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.002 * [taylor]: Taking taylor expansion of 1.0 in n 3.002 * [backup-simplify]: Simplify 1.0 into 1.0 3.002 * [taylor]: Taking taylor expansion of (log n) in n 3.002 * [taylor]: Taking taylor expansion of n in n 3.003 * [backup-simplify]: Simplify 0 into 0 3.003 * [backup-simplify]: Simplify 1 into 1 3.003 * [backup-simplify]: Simplify (log 1) into 0 3.003 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.003 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.003 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.004 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 3.004 * [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) 3.005 * [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)) 3.006 * [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))) 3.007 * [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) 3.007 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.007 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.007 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.007 * [taylor]: Taking taylor expansion of 2.0 in n 3.007 * [backup-simplify]: Simplify 2.0 into 2.0 3.007 * [taylor]: Taking taylor expansion of (* n PI) in n 3.007 * [taylor]: Taking taylor expansion of n in n 3.007 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify 1 into 1 3.007 * [taylor]: Taking taylor expansion of PI in n 3.007 * [backup-simplify]: Simplify PI into PI 3.007 * [backup-simplify]: Simplify (* 0 PI) into 0 3.007 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.008 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.009 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.010 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.010 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.011 * [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)) 3.012 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.014 * [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)) 3.015 * [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))) 3.016 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.017 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.018 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 3.020 * [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)) 3.021 * [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))) 3.023 * [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)))))))) 3.029 * [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)))))))))))) 3.037 * [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)))))))))))) 3.046 * [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)))))))))))))) 3.055 * [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)))))))))))))) 3.063 * [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)))))))))))))) 3.081 * [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)))))))))))))))))))))) 3.082 * [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)))))) 3.082 * [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 3.082 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 3.082 * [taylor]: Taking taylor expansion of 1.0 in n 3.082 * [backup-simplify]: Simplify 1.0 into 1.0 3.082 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 3.082 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.082 * [taylor]: Taking taylor expansion of k in n 3.082 * [backup-simplify]: Simplify k into k 3.082 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 3.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 3.082 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.082 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.082 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.082 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.082 * [taylor]: Taking taylor expansion of 0.5 in n 3.082 * [backup-simplify]: Simplify 0.5 into 0.5 3.082 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.082 * [taylor]: Taking taylor expansion of 1.0 in n 3.082 * [backup-simplify]: Simplify 1.0 into 1.0 3.082 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.082 * [taylor]: Taking taylor expansion of k in n 3.082 * [backup-simplify]: Simplify k into k 3.082 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.082 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.082 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.082 * [taylor]: Taking taylor expansion of 2.0 in n 3.082 * [backup-simplify]: Simplify 2.0 into 2.0 3.082 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.082 * [taylor]: Taking taylor expansion of PI in n 3.082 * [backup-simplify]: Simplify PI into PI 3.082 * [taylor]: Taking taylor expansion of n in n 3.082 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify 1 into 1 3.083 * [backup-simplify]: Simplify (/ PI 1) into PI 3.083 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.084 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.084 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.084 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.084 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.085 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.085 * [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)))) 3.086 * [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))))) 3.086 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.086 * [taylor]: Taking taylor expansion of 1.0 in k 3.086 * [backup-simplify]: Simplify 1.0 into 1.0 3.086 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.086 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.086 * [taylor]: Taking taylor expansion of k in k 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [backup-simplify]: Simplify (sqrt 0) into 0 3.087 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.087 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.087 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.087 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.087 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.087 * [taylor]: Taking taylor expansion of 0.5 in k 3.087 * [backup-simplify]: Simplify 0.5 into 0.5 3.087 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.087 * [taylor]: Taking taylor expansion of 1.0 in k 3.087 * [backup-simplify]: Simplify 1.0 into 1.0 3.087 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.087 * [taylor]: Taking taylor expansion of k in k 3.087 * [backup-simplify]: Simplify 0 into 0 3.087 * [backup-simplify]: Simplify 1 into 1 3.088 * [backup-simplify]: Simplify (/ 1 1) into 1 3.088 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.088 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.088 * [taylor]: Taking taylor expansion of 2.0 in k 3.088 * [backup-simplify]: Simplify 2.0 into 2.0 3.088 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.088 * [taylor]: Taking taylor expansion of PI in k 3.088 * [backup-simplify]: Simplify PI into PI 3.088 * [taylor]: Taking taylor expansion of n in k 3.088 * [backup-simplify]: Simplify n into n 3.088 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.088 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.088 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.088 * [backup-simplify]: Simplify (- 1) into -1 3.088 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.089 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.089 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.089 * [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))))) 3.089 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.089 * [taylor]: Taking taylor expansion of 1.0 in k 3.089 * [backup-simplify]: Simplify 1.0 into 1.0 3.089 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.089 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.089 * [taylor]: Taking taylor expansion of k in k 3.089 * [backup-simplify]: Simplify 0 into 0 3.089 * [backup-simplify]: Simplify 1 into 1 3.089 * [backup-simplify]: Simplify (sqrt 0) into 0 3.090 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.090 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.090 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.090 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.090 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.090 * [taylor]: Taking taylor expansion of 0.5 in k 3.090 * [backup-simplify]: Simplify 0.5 into 0.5 3.090 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.090 * [taylor]: Taking taylor expansion of 1.0 in k 3.090 * [backup-simplify]: Simplify 1.0 into 1.0 3.090 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.090 * [taylor]: Taking taylor expansion of k in k 3.090 * [backup-simplify]: Simplify 0 into 0 3.090 * [backup-simplify]: Simplify 1 into 1 3.091 * [backup-simplify]: Simplify (/ 1 1) into 1 3.091 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.091 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.091 * [taylor]: Taking taylor expansion of 2.0 in k 3.091 * [backup-simplify]: Simplify 2.0 into 2.0 3.091 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.091 * [taylor]: Taking taylor expansion of PI in k 3.091 * [backup-simplify]: Simplify PI into PI 3.091 * [taylor]: Taking taylor expansion of n in k 3.091 * [backup-simplify]: Simplify n into n 3.091 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.091 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.091 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.091 * [backup-simplify]: Simplify (- 1) into -1 3.091 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.092 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.092 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.092 * [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))))) 3.092 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 3.092 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.092 * [taylor]: Taking taylor expansion of 0 in n 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify 0 into 0 3.093 * [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))))))) 3.093 * [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))))))) 3.093 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.093 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.093 * [taylor]: Taking taylor expansion of +nan.0 in n 3.093 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.093 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.093 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.093 * [taylor]: Taking taylor expansion of 0.5 in n 3.093 * [backup-simplify]: Simplify 0.5 into 0.5 3.093 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.093 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.093 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.093 * [taylor]: Taking taylor expansion of 2.0 in n 3.093 * [backup-simplify]: Simplify 2.0 into 2.0 3.093 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.093 * [taylor]: Taking taylor expansion of PI in n 3.094 * [backup-simplify]: Simplify PI into PI 3.094 * [taylor]: Taking taylor expansion of n in n 3.094 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify 1 into 1 3.094 * [backup-simplify]: Simplify (/ PI 1) into PI 3.094 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.095 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.095 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.095 * [taylor]: Taking taylor expansion of 1.0 in n 3.095 * [backup-simplify]: Simplify 1.0 into 1.0 3.095 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.095 * [taylor]: Taking taylor expansion of k in n 3.095 * [backup-simplify]: Simplify k into k 3.095 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.096 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.096 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.096 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.096 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 3.097 * [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)))) 3.098 * [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))))) 3.099 * [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)))))) 3.099 * [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))))))) 3.100 * [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))))))) 3.100 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.102 * [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))))))) 3.103 * [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))))))) 3.103 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.103 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.103 * [taylor]: Taking taylor expansion of +nan.0 in n 3.103 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.103 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.103 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.103 * [taylor]: Taking taylor expansion of 0.5 in n 3.103 * [backup-simplify]: Simplify 0.5 into 0.5 3.103 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.103 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.103 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.103 * [taylor]: Taking taylor expansion of 2.0 in n 3.103 * [backup-simplify]: Simplify 2.0 into 2.0 3.103 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.103 * [taylor]: Taking taylor expansion of PI in n 3.103 * [backup-simplify]: Simplify PI into PI 3.103 * [taylor]: Taking taylor expansion of n in n 3.103 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify 1 into 1 3.104 * [backup-simplify]: Simplify (/ PI 1) into PI 3.104 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.104 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.104 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.104 * [taylor]: Taking taylor expansion of 1.0 in n 3.104 * [backup-simplify]: Simplify 1.0 into 1.0 3.104 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.105 * [taylor]: Taking taylor expansion of k in n 3.105 * [backup-simplify]: Simplify k into k 3.105 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.105 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.105 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.106 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.106 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 3.107 * [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)))) 3.108 * [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))))) 3.108 * [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)))))) 3.109 * [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))))))) 3.110 * [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))))))) 3.111 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.111 * [backup-simplify]: Simplify (- 0) into 0 3.111 * [backup-simplify]: Simplify (+ 0 0) into 0 3.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.112 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.113 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.114 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 3.115 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 3.116 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.117 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 3.117 * [backup-simplify]: Simplify (- 0) into 0 3.117 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.120 * [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))))))) 3.121 * [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))))))) 3.121 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.121 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.121 * [taylor]: Taking taylor expansion of +nan.0 in n 3.121 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.121 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.121 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.121 * [taylor]: Taking taylor expansion of 0.5 in n 3.121 * [backup-simplify]: Simplify 0.5 into 0.5 3.121 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.121 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.121 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.121 * [taylor]: Taking taylor expansion of 2.0 in n 3.121 * [backup-simplify]: Simplify 2.0 into 2.0 3.121 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.121 * [taylor]: Taking taylor expansion of PI in n 3.121 * [backup-simplify]: Simplify PI into PI 3.121 * [taylor]: Taking taylor expansion of n in n 3.121 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify 1 into 1 3.122 * [backup-simplify]: Simplify (/ PI 1) into PI 3.122 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.123 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.123 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.123 * [taylor]: Taking taylor expansion of 1.0 in n 3.123 * [backup-simplify]: Simplify 1.0 into 1.0 3.123 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.123 * [taylor]: Taking taylor expansion of k in n 3.123 * [backup-simplify]: Simplify k into k 3.123 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.124 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.124 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.124 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.124 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 3.125 * [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)))) 3.126 * [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))))) 3.126 * [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)))))) 3.127 * [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))))))) 3.128 * [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))))))) 3.131 * [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)))))))) 3.131 * [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)))) 3.131 * [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 3.131 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 3.131 * [taylor]: Taking taylor expansion of 1.0 in n 3.131 * [backup-simplify]: Simplify 1.0 into 1.0 3.131 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 3.131 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.131 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.132 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.132 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.132 * [taylor]: Taking taylor expansion of 0.5 in n 3.132 * [backup-simplify]: Simplify 0.5 into 0.5 3.132 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.132 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.132 * [taylor]: Taking taylor expansion of k in n 3.132 * [backup-simplify]: Simplify k into k 3.132 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.132 * [taylor]: Taking taylor expansion of 1.0 in n 3.132 * [backup-simplify]: Simplify 1.0 into 1.0 3.132 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.132 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.132 * [taylor]: Taking taylor expansion of -2.0 in n 3.132 * [backup-simplify]: Simplify -2.0 into -2.0 3.132 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.132 * [taylor]: Taking taylor expansion of PI in n 3.132 * [backup-simplify]: Simplify PI into PI 3.132 * [taylor]: Taking taylor expansion of n in n 3.132 * [backup-simplify]: Simplify 0 into 0 3.132 * [backup-simplify]: Simplify 1 into 1 3.132 * [backup-simplify]: Simplify (/ PI 1) into PI 3.132 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.133 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.133 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.133 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.134 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.135 * [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)))) 3.135 * [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))))) 3.135 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.135 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.135 * [taylor]: Taking taylor expansion of -1 in n 3.135 * [backup-simplify]: Simplify -1 into -1 3.135 * [taylor]: Taking taylor expansion of k in n 3.135 * [backup-simplify]: Simplify k into k 3.135 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 3.136 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 3.136 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 3.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 3.136 * [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))) 3.136 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.136 * [taylor]: Taking taylor expansion of 1.0 in k 3.136 * [backup-simplify]: Simplify 1.0 into 1.0 3.136 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.137 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.137 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.137 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.137 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.137 * [taylor]: Taking taylor expansion of 0.5 in k 3.137 * [backup-simplify]: Simplify 0.5 into 0.5 3.137 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.137 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.137 * [taylor]: Taking taylor expansion of k in k 3.137 * [backup-simplify]: Simplify 0 into 0 3.137 * [backup-simplify]: Simplify 1 into 1 3.137 * [backup-simplify]: Simplify (/ 1 1) into 1 3.137 * [taylor]: Taking taylor expansion of 1.0 in k 3.137 * [backup-simplify]: Simplify 1.0 into 1.0 3.137 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.137 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.137 * [taylor]: Taking taylor expansion of -2.0 in k 3.137 * [backup-simplify]: Simplify -2.0 into -2.0 3.137 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.137 * [taylor]: Taking taylor expansion of PI in k 3.137 * [backup-simplify]: Simplify PI into PI 3.137 * [taylor]: Taking taylor expansion of n in k 3.137 * [backup-simplify]: Simplify n into n 3.137 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.137 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 3.137 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 3.137 * [backup-simplify]: Simplify (+ 1 0) into 1 3.138 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.138 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 3.138 * [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)))))) 3.138 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.138 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.138 * [taylor]: Taking taylor expansion of -1 in k 3.138 * [backup-simplify]: Simplify -1 into -1 3.138 * [taylor]: Taking taylor expansion of k in k 3.138 * [backup-simplify]: Simplify 0 into 0 3.138 * [backup-simplify]: Simplify 1 into 1 3.138 * [backup-simplify]: Simplify (/ -1 1) into -1 3.139 * [backup-simplify]: Simplify (sqrt 0) into 0 3.139 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.139 * [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))))))) 3.140 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.140 * [taylor]: Taking taylor expansion of 1.0 in k 3.140 * [backup-simplify]: Simplify 1.0 into 1.0 3.140 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.140 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.140 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.140 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.140 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.140 * [taylor]: Taking taylor expansion of 0.5 in k 3.140 * [backup-simplify]: Simplify 0.5 into 0.5 3.140 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.140 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.140 * [taylor]: Taking taylor expansion of k in k 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 1 into 1 3.140 * [backup-simplify]: Simplify (/ 1 1) into 1 3.140 * [taylor]: Taking taylor expansion of 1.0 in k 3.140 * [backup-simplify]: Simplify 1.0 into 1.0 3.140 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.140 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.140 * [taylor]: Taking taylor expansion of -2.0 in k 3.140 * [backup-simplify]: Simplify -2.0 into -2.0 3.140 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.140 * [taylor]: Taking taylor expansion of PI in k 3.140 * [backup-simplify]: Simplify PI into PI 3.140 * [taylor]: Taking taylor expansion of n in k 3.140 * [backup-simplify]: Simplify n into n 3.140 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.140 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 3.140 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 3.141 * [backup-simplify]: Simplify (+ 1 0) into 1 3.141 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.141 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 3.141 * [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)))))) 3.141 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.141 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.141 * [taylor]: Taking taylor expansion of -1 in k 3.141 * [backup-simplify]: Simplify -1 into -1 3.141 * [taylor]: Taking taylor expansion of k in k 3.141 * [backup-simplify]: Simplify 0 into 0 3.141 * [backup-simplify]: Simplify 1 into 1 3.141 * [backup-simplify]: Simplify (/ -1 1) into -1 3.142 * [backup-simplify]: Simplify (sqrt 0) into 0 3.142 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.143 * [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))))))) 3.143 * [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))))))) 3.143 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.143 * [taylor]: Taking taylor expansion of +nan.0 in n 3.143 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.143 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.143 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.143 * [taylor]: Taking taylor expansion of 0.5 in n 3.143 * [backup-simplify]: Simplify 0.5 into 0.5 3.143 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.143 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.143 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.143 * [taylor]: Taking taylor expansion of k in n 3.143 * [backup-simplify]: Simplify k into k 3.143 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.143 * [taylor]: Taking taylor expansion of 1.0 in n 3.143 * [backup-simplify]: Simplify 1.0 into 1.0 3.143 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.143 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.143 * [taylor]: Taking taylor expansion of -2.0 in n 3.143 * [backup-simplify]: Simplify -2.0 into -2.0 3.143 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.143 * [taylor]: Taking taylor expansion of PI in n 3.143 * [backup-simplify]: Simplify PI into PI 3.143 * [taylor]: Taking taylor expansion of n in n 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify 1 into 1 3.143 * [backup-simplify]: Simplify (/ PI 1) into PI 3.144 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.144 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.144 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.145 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.146 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 3.147 * [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)))) 3.147 * [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))))) 3.148 * [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)))))) 3.149 * [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)))))) 3.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.151 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.151 * [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)))))))) 3.152 * [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)))))))) 3.152 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.152 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.152 * [taylor]: Taking taylor expansion of +nan.0 in n 3.152 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.152 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.152 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.152 * [taylor]: Taking taylor expansion of 0.5 in n 3.152 * [backup-simplify]: Simplify 0.5 into 0.5 3.152 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.152 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.152 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.152 * [taylor]: Taking taylor expansion of k in n 3.152 * [backup-simplify]: Simplify k into k 3.152 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.152 * [taylor]: Taking taylor expansion of 1.0 in n 3.152 * [backup-simplify]: Simplify 1.0 into 1.0 3.152 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.152 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.152 * [taylor]: Taking taylor expansion of -2.0 in n 3.152 * [backup-simplify]: Simplify -2.0 into -2.0 3.152 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.152 * [taylor]: Taking taylor expansion of PI in n 3.152 * [backup-simplify]: Simplify PI into PI 3.152 * [taylor]: Taking taylor expansion of n in n 3.152 * [backup-simplify]: Simplify 0 into 0 3.152 * [backup-simplify]: Simplify 1 into 1 3.153 * [backup-simplify]: Simplify (/ PI 1) into PI 3.153 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.153 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.154 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.154 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.155 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 3.156 * [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)))) 3.156 * [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))))) 3.157 * [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)))))) 3.158 * [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))))))) 3.159 * [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))))))) 3.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.160 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 3.161 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 3.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.161 * [backup-simplify]: Simplify (+ 0 0) into 0 3.165 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.166 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 3.167 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 3.168 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.169 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 3.169 * [backup-simplify]: Simplify 0 into 0 3.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.172 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.173 * [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)))))))) 3.173 * [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)))))))) 3.173 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.173 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.173 * [taylor]: Taking taylor expansion of +nan.0 in n 3.173 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.173 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.173 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.173 * [taylor]: Taking taylor expansion of 0.5 in n 3.173 * [backup-simplify]: Simplify 0.5 into 0.5 3.173 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.173 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.173 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.173 * [taylor]: Taking taylor expansion of k in n 3.173 * [backup-simplify]: Simplify k into k 3.173 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.173 * [taylor]: Taking taylor expansion of 1.0 in n 3.174 * [backup-simplify]: Simplify 1.0 into 1.0 3.174 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.174 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.174 * [taylor]: Taking taylor expansion of -2.0 in n 3.174 * [backup-simplify]: Simplify -2.0 into -2.0 3.174 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.174 * [taylor]: Taking taylor expansion of PI in n 3.174 * [backup-simplify]: Simplify PI into PI 3.174 * [taylor]: Taking taylor expansion of n in n 3.174 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify 1 into 1 3.174 * [backup-simplify]: Simplify (/ PI 1) into PI 3.174 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.175 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.175 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.176 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.176 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 3.177 * [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)))) 3.178 * [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))))) 3.179 * [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)))))) 3.179 * [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))))))) 3.180 * [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))))))) 3.183 * [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)))))))))))) 3.183 * * * [progress]: simplifying candidates 3.185 * [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))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 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) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 3.190 * * [simplify]: Extracting # 0 : cost 0 3.190 * * [simplify]: Extracting # 1 : cost 0 3.190 * * [simplify]: Extracting # 2 : cost 0 3.190 * * [simplify]: Extracting # 3 : cost 0 3.191 * * [simplify]: Extracting # 4 : cost 0 3.191 * * [simplify]: Extracting # 5 : cost 0 3.192 * * [simplify]: Extracting # 6 : cost 0 3.192 * * [simplify]: Extracting # 7 : cost 0 3.193 * * [simplify]: Extracting # 8 : cost 0 3.193 * * [simplify]: Extracting # 9 : cost 0 3.194 * * [simplify]: Extracting # 10 : cost 0 3.194 * * [simplify]: Extracting # 11 : cost 0 3.195 * * [simplify]: Extracting # 12 : cost 0 3.195 * * [simplify]: Extracting # 13 : cost 0 3.196 * * [simplify]: Extracting # 14 : cost 0 3.196 * * [simplify]: Extracting # 15 : cost 0 3.197 * * [simplify]: Extracting # 16 : cost 0 3.197 * * [simplify]: Extracting # 17 : cost 0 3.198 * * [simplify]: Extracting # 18 : cost 0 3.198 * * [simplify]: Extracting # 19 : cost 0 3.199 * * [simplify]: Extracting # 20 : cost 0 3.199 * * [simplify]: Extracting # 21 : cost 0 3.200 * * [simplify]: Extracting # 22 : cost 0 3.200 * * [simplify]: Extracting # 23 : cost 0 3.201 * * [simplify]: Extracting # 24 : cost 0 3.202 * * [simplify]: Extracting # 25 : cost 0 3.202 * * [simplify]: Extracting # 26 : cost 0 3.203 * * [simplify]: Extracting # 27 : cost 0 3.203 * * [simplify]: Extracting # 28 : cost 0 3.204 * * [simplify]: Extracting # 29 : cost 0 3.204 * * [simplify]: Extracting # 30 : cost 0 3.205 * * [simplify]: Extracting # 31 : cost 0 3.205 * * [simplify]: Extracting # 32 : cost 0 3.206 * * [simplify]: iteration 0 : 361 enodes (cost 2800 ) 3.294 * * [simplify]: Extracting # 0 : cost 0 3.295 * * [simplify]: Extracting # 1 : cost 0 3.300 * * [simplify]: Extracting # 2 : cost 0 3.302 * * [simplify]: Extracting # 3 : cost 0 3.303 * * [simplify]: Extracting # 4 : cost 0 3.304 * * [simplify]: Extracting # 5 : cost 0 3.305 * * [simplify]: iteration 1 : 931 enodes (cost 2635 ) 3.652 * * [simplify]: Extracting # 0 : cost 0 3.655 * * [simplify]: Extracting # 1 : cost 0 3.659 * * [simplify]: Extracting # 2 : cost 0 3.667 * * [simplify]: Extracting # 3 : cost 0 3.671 * * [simplify]: Extracting # 4 : cost 0 3.674 * * [simplify]: Extracting # 5 : cost 0 3.678 * * [simplify]: iteration 2 : 3047 enodes (cost 2471 ) 4.397 * * [simplify]: Extracting # 0 : cost 0 4.403 * * [simplify]: Extracting # 1 : cost 0 4.409 * * [simplify]: Extracting # 2 : cost 0 4.415 * * [simplify]: Extracting # 3 : cost 0 4.420 * * [simplify]: Extracting # 4 : cost 0 4.426 * * [simplify]: iteration done: 5000 enodes (cost 2471 ) 4.427 * [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)))) 4.428 * * * [progress]: adding candidates to table 4.822 * * [progress]: iteration 2 / 4 4.822 * * * [progress]: picking best candidate 4.853 * * * * [pick]: Picked # 4.853 * * * [progress]: localizing error 4.869 * * * [progress]: generating rewritten candidates 4.869 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.891 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.914 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 4.931 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 4.968 * * * [progress]: generating series expansions 4.968 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.969 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 4.969 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.969 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.969 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.969 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.969 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.969 * [taylor]: Taking taylor expansion of 0.5 in k 4.969 * [backup-simplify]: Simplify 0.5 into 0.5 4.969 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.969 * [taylor]: Taking taylor expansion of 1.0 in k 4.969 * [backup-simplify]: Simplify 1.0 into 1.0 4.969 * [taylor]: Taking taylor expansion of k in k 4.969 * [backup-simplify]: Simplify 0 into 0 4.969 * [backup-simplify]: Simplify 1 into 1 4.969 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.969 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.969 * [taylor]: Taking taylor expansion of 2.0 in k 4.969 * [backup-simplify]: Simplify 2.0 into 2.0 4.969 * [taylor]: Taking taylor expansion of (* n PI) in k 4.969 * [taylor]: Taking taylor expansion of n in k 4.969 * [backup-simplify]: Simplify n into n 4.969 * [taylor]: Taking taylor expansion of PI in k 4.969 * [backup-simplify]: Simplify PI into PI 4.970 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.970 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.970 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.970 * [backup-simplify]: Simplify (- 0) into 0 4.970 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.970 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.971 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.971 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.971 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.971 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.971 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.971 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.971 * [taylor]: Taking taylor expansion of 0.5 in n 4.971 * [backup-simplify]: Simplify 0.5 into 0.5 4.971 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.971 * [taylor]: Taking taylor expansion of 1.0 in n 4.971 * [backup-simplify]: Simplify 1.0 into 1.0 4.971 * [taylor]: Taking taylor expansion of k in n 4.971 * [backup-simplify]: Simplify k into k 4.971 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.971 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.971 * [taylor]: Taking taylor expansion of 2.0 in n 4.971 * [backup-simplify]: Simplify 2.0 into 2.0 4.971 * [taylor]: Taking taylor expansion of (* n PI) in n 4.971 * [taylor]: Taking taylor expansion of n in n 4.971 * [backup-simplify]: Simplify 0 into 0 4.971 * [backup-simplify]: Simplify 1 into 1 4.971 * [taylor]: Taking taylor expansion of PI in n 4.971 * [backup-simplify]: Simplify PI into PI 4.971 * [backup-simplify]: Simplify (* 0 PI) into 0 4.972 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.972 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.973 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.974 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.974 * [backup-simplify]: Simplify (- k) into (- k) 4.974 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.974 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.975 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.975 * [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)))) 4.976 * [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))))) 4.976 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.976 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.976 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.976 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.976 * [taylor]: Taking taylor expansion of 0.5 in n 4.976 * [backup-simplify]: Simplify 0.5 into 0.5 4.976 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.976 * [taylor]: Taking taylor expansion of 1.0 in n 4.976 * [backup-simplify]: Simplify 1.0 into 1.0 4.976 * [taylor]: Taking taylor expansion of k in n 4.976 * [backup-simplify]: Simplify k into k 4.976 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.976 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.976 * [taylor]: Taking taylor expansion of 2.0 in n 4.976 * [backup-simplify]: Simplify 2.0 into 2.0 4.976 * [taylor]: Taking taylor expansion of (* n PI) in n 4.976 * [taylor]: Taking taylor expansion of n in n 4.976 * [backup-simplify]: Simplify 0 into 0 4.976 * [backup-simplify]: Simplify 1 into 1 4.976 * [taylor]: Taking taylor expansion of PI in n 4.976 * [backup-simplify]: Simplify PI into PI 4.977 * [backup-simplify]: Simplify (* 0 PI) into 0 4.977 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.978 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.979 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.979 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.979 * [backup-simplify]: Simplify (- k) into (- k) 4.979 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.979 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.980 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.981 * [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)))) 4.981 * [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))))) 4.982 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.982 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.982 * [taylor]: Taking taylor expansion of 0.5 in k 4.982 * [backup-simplify]: Simplify 0.5 into 0.5 4.982 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.982 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.982 * [taylor]: Taking taylor expansion of 1.0 in k 4.982 * [backup-simplify]: Simplify 1.0 into 1.0 4.982 * [taylor]: Taking taylor expansion of k in k 4.982 * [backup-simplify]: Simplify 0 into 0 4.982 * [backup-simplify]: Simplify 1 into 1 4.982 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.982 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.982 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.982 * [taylor]: Taking taylor expansion of 2.0 in k 4.982 * [backup-simplify]: Simplify 2.0 into 2.0 4.982 * [taylor]: Taking taylor expansion of PI in k 4.982 * [backup-simplify]: Simplify PI into PI 4.982 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.983 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.983 * [taylor]: Taking taylor expansion of (log n) in k 4.983 * [taylor]: Taking taylor expansion of n in k 4.983 * [backup-simplify]: Simplify n into n 4.983 * [backup-simplify]: Simplify (log n) into (log n) 4.983 * [backup-simplify]: Simplify (- 0) into 0 4.983 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.984 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 4.985 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 4.985 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 4.986 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.986 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.987 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.988 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.989 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.989 * [backup-simplify]: Simplify (- 0) into 0 4.989 * [backup-simplify]: Simplify (+ 0 0) into 0 4.989 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 4.990 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.991 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 4.992 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.992 * [taylor]: Taking taylor expansion of 0 in k 4.992 * [backup-simplify]: Simplify 0 into 0 4.992 * [backup-simplify]: Simplify 0 into 0 4.992 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.993 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.994 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.994 * [backup-simplify]: Simplify (+ 0 0) into 0 4.994 * [backup-simplify]: Simplify (- 1) into -1 4.994 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.995 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 4.997 * [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)))) 4.999 * [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)))))) 5.001 * [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)))))) 5.001 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 5.002 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 5.004 * [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 5.004 * [backup-simplify]: Simplify (- 0) into 0 5.004 * [backup-simplify]: Simplify (+ 0 0) into 0 5.005 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 5.005 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 5.006 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 5.008 * [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 5.008 * [taylor]: Taking taylor expansion of 0 in k 5.008 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.010 * [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 5.011 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 5.011 * [backup-simplify]: Simplify (+ 0 0) into 0 5.011 * [backup-simplify]: Simplify (- 0) into 0 5.012 * [backup-simplify]: Simplify (+ 0 0) into 0 5.013 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 5.014 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 5.016 * [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)))))) 5.025 * [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)))))) 5.031 * [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)))))) 5.032 * [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)))) 5.032 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 5.032 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.032 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.032 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.032 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.032 * [taylor]: Taking taylor expansion of 0.5 in k 5.032 * [backup-simplify]: Simplify 0.5 into 0.5 5.032 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.032 * [taylor]: Taking taylor expansion of 1.0 in k 5.032 * [backup-simplify]: Simplify 1.0 into 1.0 5.032 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.032 * [taylor]: Taking taylor expansion of k in k 5.032 * [backup-simplify]: Simplify 0 into 0 5.032 * [backup-simplify]: Simplify 1 into 1 5.032 * [backup-simplify]: Simplify (/ 1 1) into 1 5.032 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.032 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.032 * [taylor]: Taking taylor expansion of 2.0 in k 5.032 * [backup-simplify]: Simplify 2.0 into 2.0 5.032 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.032 * [taylor]: Taking taylor expansion of PI in k 5.032 * [backup-simplify]: Simplify PI into PI 5.032 * [taylor]: Taking taylor expansion of n in k 5.032 * [backup-simplify]: Simplify n into n 5.032 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.032 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 5.032 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 5.033 * [backup-simplify]: Simplify (- 1) into -1 5.033 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.033 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.033 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 5.033 * [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))))) 5.033 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.033 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.033 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.033 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.033 * [taylor]: Taking taylor expansion of 0.5 in n 5.033 * [backup-simplify]: Simplify 0.5 into 0.5 5.033 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.033 * [taylor]: Taking taylor expansion of 1.0 in n 5.033 * [backup-simplify]: Simplify 1.0 into 1.0 5.033 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.033 * [taylor]: Taking taylor expansion of k in n 5.034 * [backup-simplify]: Simplify k into k 5.034 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.034 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.034 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.034 * [taylor]: Taking taylor expansion of 2.0 in n 5.034 * [backup-simplify]: Simplify 2.0 into 2.0 5.034 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.034 * [taylor]: Taking taylor expansion of PI in n 5.034 * [backup-simplify]: Simplify PI into PI 5.034 * [taylor]: Taking taylor expansion of n in n 5.034 * [backup-simplify]: Simplify 0 into 0 5.034 * [backup-simplify]: Simplify 1 into 1 5.034 * [backup-simplify]: Simplify (/ PI 1) into PI 5.034 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.035 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.035 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.035 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.035 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 5.036 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.036 * [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)))) 5.037 * [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))))) 5.037 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.037 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.037 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.037 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.037 * [taylor]: Taking taylor expansion of 0.5 in n 5.037 * [backup-simplify]: Simplify 0.5 into 0.5 5.037 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.037 * [taylor]: Taking taylor expansion of 1.0 in n 5.037 * [backup-simplify]: Simplify 1.0 into 1.0 5.037 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.037 * [taylor]: Taking taylor expansion of k in n 5.037 * [backup-simplify]: Simplify k into k 5.037 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.037 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.037 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.037 * [taylor]: Taking taylor expansion of 2.0 in n 5.037 * [backup-simplify]: Simplify 2.0 into 2.0 5.038 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.038 * [taylor]: Taking taylor expansion of PI in n 5.038 * [backup-simplify]: Simplify PI into PI 5.038 * [taylor]: Taking taylor expansion of n in n 5.038 * [backup-simplify]: Simplify 0 into 0 5.038 * [backup-simplify]: Simplify 1 into 1 5.038 * [backup-simplify]: Simplify (/ PI 1) into PI 5.038 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.039 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.039 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.039 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.039 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 5.040 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.040 * [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)))) 5.041 * [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))))) 5.041 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.041 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.041 * [taylor]: Taking taylor expansion of 0.5 in k 5.041 * [backup-simplify]: Simplify 0.5 into 0.5 5.041 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.041 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.041 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.041 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.041 * [taylor]: Taking taylor expansion of 2.0 in k 5.041 * [backup-simplify]: Simplify 2.0 into 2.0 5.041 * [taylor]: Taking taylor expansion of PI in k 5.041 * [backup-simplify]: Simplify PI into PI 5.042 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.042 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.042 * [taylor]: Taking taylor expansion of (log n) in k 5.042 * [taylor]: Taking taylor expansion of n in k 5.042 * [backup-simplify]: Simplify n into n 5.042 * [backup-simplify]: Simplify (log n) into (log n) 5.042 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.042 * [taylor]: Taking taylor expansion of 1.0 in k 5.042 * [backup-simplify]: Simplify 1.0 into 1.0 5.042 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.042 * [taylor]: Taking taylor expansion of k in k 5.042 * [backup-simplify]: Simplify 0 into 0 5.042 * [backup-simplify]: Simplify 1 into 1 5.043 * [backup-simplify]: Simplify (/ 1 1) into 1 5.043 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 5.043 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 5.044 * [backup-simplify]: Simplify (- 1) into -1 5.044 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.044 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 5.045 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 5.046 * [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))))) 5.046 * [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))))) 5.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.047 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.048 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 5.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.049 * [backup-simplify]: Simplify (- 0) into 0 5.049 * [backup-simplify]: Simplify (+ 0 0) into 0 5.049 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 5.050 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.051 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 5.052 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.052 * [taylor]: Taking taylor expansion of 0 in k 5.052 * [backup-simplify]: Simplify 0 into 0 5.052 * [backup-simplify]: Simplify 0 into 0 5.052 * [backup-simplify]: Simplify 0 into 0 5.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.053 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.055 * [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 5.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.055 * [backup-simplify]: Simplify (- 0) into 0 5.055 * [backup-simplify]: Simplify (+ 0 0) into 0 5.056 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 5.056 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.057 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 5.059 * [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 5.059 * [taylor]: Taking taylor expansion of 0 in k 5.059 * [backup-simplify]: Simplify 0 into 0 5.059 * [backup-simplify]: Simplify 0 into 0 5.059 * [backup-simplify]: Simplify 0 into 0 5.059 * [backup-simplify]: Simplify 0 into 0 5.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.060 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.063 * [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 5.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.063 * [backup-simplify]: Simplify (- 0) into 0 5.063 * [backup-simplify]: Simplify (+ 0 0) into 0 5.064 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 5.065 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 5.066 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 5.067 * [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 5.067 * [taylor]: Taking taylor expansion of 0 in k 5.068 * [backup-simplify]: Simplify 0 into 0 5.068 * [backup-simplify]: Simplify 0 into 0 5.068 * [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)))) 5.069 * [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))) 5.069 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 5.069 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.069 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.069 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.069 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.069 * [taylor]: Taking taylor expansion of 0.5 in k 5.069 * [backup-simplify]: Simplify 0.5 into 0.5 5.069 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.069 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.069 * [taylor]: Taking taylor expansion of k in k 5.069 * [backup-simplify]: Simplify 0 into 0 5.069 * [backup-simplify]: Simplify 1 into 1 5.069 * [backup-simplify]: Simplify (/ 1 1) into 1 5.069 * [taylor]: Taking taylor expansion of 1.0 in k 5.069 * [backup-simplify]: Simplify 1.0 into 1.0 5.069 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.069 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.069 * [taylor]: Taking taylor expansion of -2.0 in k 5.069 * [backup-simplify]: Simplify -2.0 into -2.0 5.069 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.069 * [taylor]: Taking taylor expansion of PI in k 5.069 * [backup-simplify]: Simplify PI into PI 5.069 * [taylor]: Taking taylor expansion of n in k 5.069 * [backup-simplify]: Simplify n into n 5.069 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.069 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 5.069 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 5.070 * [backup-simplify]: Simplify (+ 1 0) into 1 5.070 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.070 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 5.070 * [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)))))) 5.070 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.070 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.070 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.070 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.070 * [taylor]: Taking taylor expansion of 0.5 in n 5.070 * [backup-simplify]: Simplify 0.5 into 0.5 5.070 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.070 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.070 * [taylor]: Taking taylor expansion of k in n 5.070 * [backup-simplify]: Simplify k into k 5.070 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.070 * [taylor]: Taking taylor expansion of 1.0 in n 5.070 * [backup-simplify]: Simplify 1.0 into 1.0 5.070 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.070 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.071 * [taylor]: Taking taylor expansion of -2.0 in n 5.071 * [backup-simplify]: Simplify -2.0 into -2.0 5.071 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.071 * [taylor]: Taking taylor expansion of PI in n 5.071 * [backup-simplify]: Simplify PI into PI 5.071 * [taylor]: Taking taylor expansion of n in n 5.071 * [backup-simplify]: Simplify 0 into 0 5.071 * [backup-simplify]: Simplify 1 into 1 5.071 * [backup-simplify]: Simplify (/ PI 1) into PI 5.071 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.072 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.072 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.072 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 5.073 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.073 * [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)))) 5.074 * [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))))) 5.074 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.074 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.074 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.074 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.074 * [taylor]: Taking taylor expansion of 0.5 in n 5.074 * [backup-simplify]: Simplify 0.5 into 0.5 5.074 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.074 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.074 * [taylor]: Taking taylor expansion of k in n 5.074 * [backup-simplify]: Simplify k into k 5.074 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.074 * [taylor]: Taking taylor expansion of 1.0 in n 5.074 * [backup-simplify]: Simplify 1.0 into 1.0 5.074 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.074 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.074 * [taylor]: Taking taylor expansion of -2.0 in n 5.074 * [backup-simplify]: Simplify -2.0 into -2.0 5.074 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.074 * [taylor]: Taking taylor expansion of PI in n 5.074 * [backup-simplify]: Simplify PI into PI 5.074 * [taylor]: Taking taylor expansion of n in n 5.074 * [backup-simplify]: Simplify 0 into 0 5.074 * [backup-simplify]: Simplify 1 into 1 5.075 * [backup-simplify]: Simplify (/ PI 1) into PI 5.075 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.076 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.076 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.076 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 5.077 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.077 * [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)))) 5.078 * [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))))) 5.078 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.078 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.078 * [taylor]: Taking taylor expansion of 0.5 in k 5.078 * [backup-simplify]: Simplify 0.5 into 0.5 5.078 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.078 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.078 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.078 * [taylor]: Taking taylor expansion of k in k 5.078 * [backup-simplify]: Simplify 0 into 0 5.078 * [backup-simplify]: Simplify 1 into 1 5.078 * [backup-simplify]: Simplify (/ 1 1) into 1 5.079 * [taylor]: Taking taylor expansion of 1.0 in k 5.079 * [backup-simplify]: Simplify 1.0 into 1.0 5.079 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.079 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.079 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.079 * [taylor]: Taking taylor expansion of -2.0 in k 5.079 * [backup-simplify]: Simplify -2.0 into -2.0 5.079 * [taylor]: Taking taylor expansion of PI in k 5.079 * [backup-simplify]: Simplify PI into PI 5.079 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.080 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.080 * [taylor]: Taking taylor expansion of (log n) in k 5.080 * [taylor]: Taking taylor expansion of n in k 5.080 * [backup-simplify]: Simplify n into n 5.080 * [backup-simplify]: Simplify (log n) into (log n) 5.080 * [backup-simplify]: Simplify (+ 1 0) into 1 5.080 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 5.081 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 5.081 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 5.082 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 5.083 * [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))))) 5.083 * [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))))) 5.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.084 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 5.085 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 5.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.085 * [backup-simplify]: Simplify (+ 0 0) into 0 5.086 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 5.087 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.087 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 5.088 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.088 * [taylor]: Taking taylor expansion of 0 in k 5.088 * [backup-simplify]: Simplify 0 into 0 5.089 * [backup-simplify]: Simplify 0 into 0 5.089 * [backup-simplify]: Simplify 0 into 0 5.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.090 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.091 * [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 5.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.092 * [backup-simplify]: Simplify (+ 0 0) into 0 5.092 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 5.093 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.094 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 5.095 * [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 5.096 * [taylor]: Taking taylor expansion of 0 in k 5.096 * [backup-simplify]: Simplify 0 into 0 5.096 * [backup-simplify]: Simplify 0 into 0 5.096 * [backup-simplify]: Simplify 0 into 0 5.096 * [backup-simplify]: Simplify 0 into 0 5.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.097 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.100 * [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 5.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.100 * [backup-simplify]: Simplify (+ 0 0) into 0 5.101 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 5.102 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.103 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 5.104 * [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 5.104 * [taylor]: Taking taylor expansion of 0 in k 5.104 * [backup-simplify]: Simplify 0 into 0 5.104 * [backup-simplify]: Simplify 0 into 0 5.105 * [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)))))) 5.105 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.105 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) into (* 1.0 (sqrt (/ 1 k))) 5.105 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.105 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.105 * [taylor]: Taking taylor expansion of 1.0 in k 5.105 * [backup-simplify]: Simplify 1.0 into 1.0 5.105 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.105 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.105 * [taylor]: Taking taylor expansion of k in k 5.105 * [backup-simplify]: Simplify 0 into 0 5.105 * [backup-simplify]: Simplify 1 into 1 5.105 * [backup-simplify]: Simplify (/ 1 1) into 1 5.106 * [backup-simplify]: Simplify (sqrt 0) into 0 5.107 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.107 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.107 * [taylor]: Taking taylor expansion of 1.0 in k 5.107 * [backup-simplify]: Simplify 1.0 into 1.0 5.107 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.107 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.107 * [taylor]: Taking taylor expansion of k in k 5.107 * [backup-simplify]: Simplify 0 into 0 5.107 * [backup-simplify]: Simplify 1 into 1 5.107 * [backup-simplify]: Simplify (/ 1 1) into 1 5.107 * [backup-simplify]: Simplify (sqrt 0) into 0 5.108 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.108 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.108 * [backup-simplify]: Simplify 0 into 0 5.109 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 5.109 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.114 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.115 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 5.116 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.118 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.119 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.120 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.120 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 5.121 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt (/ 1 k)))) (sqrt (sqrt (/ 1 k)))) into (* 1.0 (sqrt k)) 5.121 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.121 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.121 * [taylor]: Taking taylor expansion of 1.0 in k 5.121 * [backup-simplify]: Simplify 1.0 into 1.0 5.121 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.121 * [taylor]: Taking taylor expansion of k in k 5.121 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify 1 into 1 5.121 * [backup-simplify]: Simplify (sqrt 0) into 0 5.122 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.122 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.122 * [taylor]: Taking taylor expansion of 1.0 in k 5.122 * [backup-simplify]: Simplify 1.0 into 1.0 5.122 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.122 * [taylor]: Taking taylor expansion of k in k 5.122 * [backup-simplify]: Simplify 0 into 0 5.122 * [backup-simplify]: Simplify 1 into 1 5.122 * [backup-simplify]: Simplify (sqrt 0) into 0 5.123 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.123 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.123 * [backup-simplify]: Simplify 0 into 0 5.124 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 5.124 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.126 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.127 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 5.127 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.130 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.130 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.131 * [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)))))))) 5.132 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt (/ 1 (- k))))) (sqrt (sqrt (/ 1 (- k))))) into (/ 1.0 (sqrt (/ -1 k))) 5.132 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.132 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.132 * [taylor]: Taking taylor expansion of 1.0 in k 5.132 * [backup-simplify]: Simplify 1.0 into 1.0 5.132 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.132 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.132 * [taylor]: Taking taylor expansion of -1 in k 5.132 * [backup-simplify]: Simplify -1 into -1 5.132 * [taylor]: Taking taylor expansion of k in k 5.132 * [backup-simplify]: Simplify 0 into 0 5.132 * [backup-simplify]: Simplify 1 into 1 5.132 * [backup-simplify]: Simplify (/ -1 1) into -1 5.132 * [backup-simplify]: Simplify (sqrt 0) into 0 5.133 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.133 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 5.133 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.133 * [taylor]: Taking taylor expansion of 1.0 in k 5.133 * [backup-simplify]: Simplify 1.0 into 1.0 5.133 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.133 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.133 * [taylor]: Taking taylor expansion of -1 in k 5.133 * [backup-simplify]: Simplify -1 into -1 5.133 * [taylor]: Taking taylor expansion of k in k 5.133 * [backup-simplify]: Simplify 0 into 0 5.133 * [backup-simplify]: Simplify 1 into 1 5.134 * [backup-simplify]: Simplify (/ -1 1) into -1 5.134 * [backup-simplify]: Simplify (sqrt 0) into 0 5.135 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.135 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 5.135 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.137 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.138 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 5.138 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.141 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.143 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 5.144 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.144 * [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))))) 5.144 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.145 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 5.145 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.145 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.145 * [taylor]: Taking taylor expansion of 2.0 in n 5.145 * [backup-simplify]: Simplify 2.0 into 2.0 5.145 * [taylor]: Taking taylor expansion of (* n PI) in n 5.145 * [taylor]: Taking taylor expansion of n in n 5.145 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify 1 into 1 5.145 * [taylor]: Taking taylor expansion of PI in n 5.145 * [backup-simplify]: Simplify PI into PI 5.145 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.145 * [taylor]: Taking taylor expansion of 2.0 in n 5.145 * [backup-simplify]: Simplify 2.0 into 2.0 5.145 * [taylor]: Taking taylor expansion of (* n PI) in n 5.145 * [taylor]: Taking taylor expansion of n in n 5.145 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify 1 into 1 5.145 * [taylor]: Taking taylor expansion of PI in n 5.145 * [backup-simplify]: Simplify PI into PI 5.145 * [backup-simplify]: Simplify (* 0 PI) into 0 5.145 * [backup-simplify]: Simplify (* 2.0 0) into 0 5.146 * [backup-simplify]: Simplify 0 into 0 5.146 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.147 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 5.148 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.148 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 5.149 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 5.149 * [backup-simplify]: Simplify 0 into 0 5.149 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 5.150 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 5.150 * [backup-simplify]: Simplify 0 into 0 5.151 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 5.151 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 5.151 * [backup-simplify]: Simplify 0 into 0 5.152 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 5.153 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 5.153 * [backup-simplify]: Simplify 0 into 0 5.154 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 5.155 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 5.155 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 5.156 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 5.156 * [backup-simplify]: Simplify 0 into 0 5.157 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 5.157 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 5.157 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.157 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.157 * [taylor]: Taking taylor expansion of 2.0 in n 5.157 * [backup-simplify]: Simplify 2.0 into 2.0 5.157 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.157 * [taylor]: Taking taylor expansion of PI in n 5.157 * [backup-simplify]: Simplify PI into PI 5.157 * [taylor]: Taking taylor expansion of n in n 5.157 * [backup-simplify]: Simplify 0 into 0 5.157 * [backup-simplify]: Simplify 1 into 1 5.158 * [backup-simplify]: Simplify (/ PI 1) into PI 5.158 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.158 * [taylor]: Taking taylor expansion of 2.0 in n 5.158 * [backup-simplify]: Simplify 2.0 into 2.0 5.158 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.158 * [taylor]: Taking taylor expansion of PI in n 5.158 * [backup-simplify]: Simplify PI into PI 5.158 * [taylor]: Taking taylor expansion of n in n 5.158 * [backup-simplify]: Simplify 0 into 0 5.158 * [backup-simplify]: Simplify 1 into 1 5.158 * [backup-simplify]: Simplify (/ PI 1) into PI 5.158 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.159 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.160 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.161 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.161 * [backup-simplify]: Simplify 0 into 0 5.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.162 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.162 * [backup-simplify]: Simplify 0 into 0 5.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.163 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 5.163 * [backup-simplify]: Simplify 0 into 0 5.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.164 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 5.164 * [backup-simplify]: Simplify 0 into 0 5.165 * [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 5.166 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 5.166 * [backup-simplify]: Simplify 0 into 0 5.166 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 5.167 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 5.167 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.167 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.167 * [taylor]: Taking taylor expansion of -2.0 in n 5.167 * [backup-simplify]: Simplify -2.0 into -2.0 5.167 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.167 * [taylor]: Taking taylor expansion of PI in n 5.167 * [backup-simplify]: Simplify PI into PI 5.167 * [taylor]: Taking taylor expansion of n in n 5.167 * [backup-simplify]: Simplify 0 into 0 5.167 * [backup-simplify]: Simplify 1 into 1 5.167 * [backup-simplify]: Simplify (/ PI 1) into PI 5.167 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.167 * [taylor]: Taking taylor expansion of -2.0 in n 5.167 * [backup-simplify]: Simplify -2.0 into -2.0 5.167 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.167 * [taylor]: Taking taylor expansion of PI in n 5.167 * [backup-simplify]: Simplify PI into PI 5.167 * [taylor]: Taking taylor expansion of n in n 5.167 * [backup-simplify]: Simplify 0 into 0 5.167 * [backup-simplify]: Simplify 1 into 1 5.168 * [backup-simplify]: Simplify (/ PI 1) into PI 5.168 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.168 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.169 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 5.169 * [backup-simplify]: Simplify 0 into 0 5.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.170 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.170 * [backup-simplify]: Simplify 0 into 0 5.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.171 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.171 * [backup-simplify]: Simplify 0 into 0 5.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.173 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 5.173 * [backup-simplify]: Simplify 0 into 0 5.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.174 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 5.174 * [backup-simplify]: Simplify 0 into 0 5.175 * [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 5.175 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 5.175 * [backup-simplify]: Simplify 0 into 0 5.176 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 5.176 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 5.176 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt k))) into (* 1.0 (pow (/ 1 k) 1/4)) 5.176 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 5.176 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 5.176 * [taylor]: Taking taylor expansion of 1.0 in k 5.176 * [backup-simplify]: Simplify 1.0 into 1.0 5.176 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 5.176 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 5.176 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 5.176 * [taylor]: Taking taylor expansion of 1/4 in k 5.176 * [backup-simplify]: Simplify 1/4 into 1/4 5.176 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 5.176 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.176 * [taylor]: Taking taylor expansion of k in k 5.176 * [backup-simplify]: Simplify 0 into 0 5.176 * [backup-simplify]: Simplify 1 into 1 5.176 * [backup-simplify]: Simplify (/ 1 1) into 1 5.177 * [backup-simplify]: Simplify (log 1) into 0 5.177 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 5.177 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 5.177 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 5.177 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 5.177 * [taylor]: Taking taylor expansion of 1.0 in k 5.177 * [backup-simplify]: Simplify 1.0 into 1.0 5.177 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 5.177 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 5.177 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 5.177 * [taylor]: Taking taylor expansion of 1/4 in k 5.177 * [backup-simplify]: Simplify 1/4 into 1/4 5.177 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 5.177 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.177 * [taylor]: Taking taylor expansion of k in k 5.177 * [backup-simplify]: Simplify 0 into 0 5.177 * [backup-simplify]: Simplify 1 into 1 5.177 * [backup-simplify]: Simplify (/ 1 1) into 1 5.178 * [backup-simplify]: Simplify (log 1) into 0 5.178 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 5.178 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 5.178 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 5.178 * [backup-simplify]: Simplify (* 1.0 (pow k -1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 5.178 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 5.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.180 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.180 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 5.180 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 5.181 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 5.181 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k -1/4))) into 0 5.181 * [backup-simplify]: Simplify 0 into 0 5.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.183 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.183 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 5.184 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 5.185 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.185 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k -1/4)))) into 0 5.185 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.188 * [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 5.189 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 5.189 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 5.190 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.191 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))) into 0 5.191 * [backup-simplify]: Simplify 0 into 0 5.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.200 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.200 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 5.201 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 5.203 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.204 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))) into 0 5.204 * [backup-simplify]: Simplify 0 into 0 5.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.212 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.213 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 5.214 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 5.216 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.217 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))))) into 0 5.217 * [backup-simplify]: Simplify 0 into 0 5.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.232 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.233 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 5.234 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 5.237 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.238 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))))) into 0 5.238 * [backup-simplify]: Simplify 0 into 0 5.239 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 5.239 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 k)))) into (* 1.0 (pow k 1/4)) 5.239 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 5.239 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 5.239 * [taylor]: Taking taylor expansion of 1.0 in k 5.239 * [backup-simplify]: Simplify 1.0 into 1.0 5.239 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 5.239 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 5.239 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 5.239 * [taylor]: Taking taylor expansion of 1/4 in k 5.239 * [backup-simplify]: Simplify 1/4 into 1/4 5.239 * [taylor]: Taking taylor expansion of (log k) in k 5.239 * [taylor]: Taking taylor expansion of k in k 5.239 * [backup-simplify]: Simplify 0 into 0 5.239 * [backup-simplify]: Simplify 1 into 1 5.239 * [backup-simplify]: Simplify (log 1) into 0 5.239 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 5.239 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 5.240 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 5.240 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 5.240 * [taylor]: Taking taylor expansion of 1.0 in k 5.240 * [backup-simplify]: Simplify 1.0 into 1.0 5.240 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 5.240 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 5.240 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 5.240 * [taylor]: Taking taylor expansion of 1/4 in k 5.240 * [backup-simplify]: Simplify 1/4 into 1/4 5.240 * [taylor]: Taking taylor expansion of (log k) in k 5.240 * [taylor]: Taking taylor expansion of k in k 5.240 * [backup-simplify]: Simplify 0 into 0 5.240 * [backup-simplify]: Simplify 1 into 1 5.240 * [backup-simplify]: Simplify (log 1) into 0 5.240 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 5.240 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 5.240 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 5.240 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 5.240 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 5.241 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.242 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 5.242 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 5.242 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 5.243 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k 1/4))) into 0 5.243 * [backup-simplify]: Simplify 0 into 0 5.244 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.244 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 5.245 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 5.246 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.246 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 5.246 * [backup-simplify]: Simplify 0 into 0 5.249 * [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 5.249 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 5.250 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 5.251 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.251 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))) into 0 5.251 * [backup-simplify]: Simplify 0 into 0 5.256 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.257 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 5.258 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 5.259 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.260 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))) into 0 5.260 * [backup-simplify]: Simplify 0 into 0 5.268 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.268 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 5.270 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 5.271 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.273 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))))) into 0 5.273 * [backup-simplify]: Simplify 0 into 0 5.291 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.291 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 5.293 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 5.295 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.297 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))))) into 0 5.297 * [backup-simplify]: Simplify 0 into 0 5.297 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 5.297 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 (- k))))) into (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) 5.297 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 5.297 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 5.297 * [taylor]: Taking taylor expansion of 1.0 in k 5.297 * [backup-simplify]: Simplify 1.0 into 1.0 5.297 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 5.297 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.297 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.297 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.297 * [taylor]: Taking taylor expansion of -1 in k 5.297 * [backup-simplify]: Simplify -1 into -1 5.297 * [taylor]: Taking taylor expansion of k in k 5.297 * [backup-simplify]: Simplify 0 into 0 5.297 * [backup-simplify]: Simplify 1 into 1 5.298 * [backup-simplify]: Simplify (/ -1 1) into -1 5.298 * [backup-simplify]: Simplify (sqrt 0) into 0 5.299 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.299 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 5.299 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 5.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.301 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.302 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 5.304 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 5.304 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 5.304 * [taylor]: Taking taylor expansion of 1.0 in k 5.304 * [backup-simplify]: Simplify 1.0 into 1.0 5.304 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 5.304 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.304 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.304 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.304 * [taylor]: Taking taylor expansion of -1 in k 5.304 * [backup-simplify]: Simplify -1 into -1 5.304 * [taylor]: Taking taylor expansion of k in k 5.304 * [backup-simplify]: Simplify 0 into 0 5.304 * [backup-simplify]: Simplify 1 into 1 5.304 * [backup-simplify]: Simplify (/ -1 1) into -1 5.304 * [backup-simplify]: Simplify (sqrt 0) into 0 5.305 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.305 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 5.305 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 5.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.307 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.308 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 5.310 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 5.310 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 5.311 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 5.312 * [backup-simplify]: Simplify (+ (* 1.0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 5.314 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 5.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.316 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.318 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 5.321 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 5.328 * [backup-simplify]: Simplify (+ (* 1.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) 5.332 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) 5.339 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (sqrt +nan.0)))) (/ 1 (- k))) (* 1.0 (sqrt +nan.0)))) into (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) 5.339 * * * [progress]: simplifying candidates 5.347 * [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))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (- (log 1.0) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (log (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (exp (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (/ 1.0 (sqrt 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(/ 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))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) 5.364 * * [simplify]: Extracting # 0 : cost 0 5.365 * * [simplify]: Extracting # 1 : cost 0 5.366 * * [simplify]: Extracting # 2 : cost 0 5.367 * * [simplify]: Extracting # 3 : cost 0 5.368 * * [simplify]: Extracting # 4 : cost 0 5.369 * * [simplify]: Extracting # 5 : cost 0 5.370 * * [simplify]: Extracting # 6 : cost 0 5.371 * * [simplify]: Extracting # 7 : cost 0 5.372 * * [simplify]: Extracting # 8 : cost 0 5.373 * * [simplify]: Extracting # 9 : cost 0 5.374 * * [simplify]: Extracting # 10 : cost 0 5.375 * * [simplify]: Extracting # 11 : cost 0 5.376 * * [simplify]: Extracting # 12 : cost 0 5.377 * * [simplify]: Extracting # 13 : cost 0 5.378 * * [simplify]: iteration 0 : 558 enodes (cost 8953 ) 5.570 * * [simplify]: Extracting # 0 : cost 0 5.572 * * [simplify]: Extracting # 1 : cost 0 5.574 * * [simplify]: Extracting # 2 : cost 0 5.576 * * [simplify]: Extracting # 3 : cost 0 5.577 * * [simplify]: Extracting # 4 : cost 0 5.579 * * [simplify]: iteration 1 : 1320 enodes (cost 7629 ) 5.948 * * [simplify]: Extracting # 0 : cost 0 5.952 * * [simplify]: Extracting # 1 : cost 0 5.959 * * [simplify]: Extracting # 2 : cost 0 5.963 * * [simplify]: Extracting # 3 : cost 0 5.966 * * [simplify]: Extracting # 4 : cost 0 5.970 * * [simplify]: Extracting # 5 : cost 0 5.973 * * [simplify]: iteration 2 : 3056 enodes (cost 7058 ) 6.666 * * [simplify]: Extracting # 0 : cost 0 6.672 * * [simplify]: Extracting # 1 : cost 0 6.684 * * [simplify]: Extracting # 2 : cost 0 6.690 * * [simplify]: Extracting # 3 : cost 0 6.695 * * [simplify]: Extracting # 4 : cost 0 6.700 * * [simplify]: iteration done: 5001 enodes (cost 6884 ) 6.704 * [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 (* n (* 2.0 PI)) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 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(fabs (cbrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (/ 1 (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (* (fabs (cbrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1.0 (fabs (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt (sqrt k))) 3)) 1.0 (/ 1 (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt (sqrt k))) 3)) 1.0 (/ 1 (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt (sqrt k))) 3)) 1.0 (/ 1 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (sqrt k) 1.0) (/ (/ 1.0 (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (fabs (cbrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (sqrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (pow (sqrt (sqrt (sqrt k))) 3) (cbrt 1.0)) (/ (sqrt k) (cbrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (cbrt 1.0)) (/ (sqrt k) (cbrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (cbrt 1.0)) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (pow (sqrt (sqrt (sqrt k))) 3) (sqrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (sqrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (sqrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt (sqrt k)) (/ 1.0 (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (cbrt k))))) (/ (pow (sqrt (sqrt (sqrt k))) 3) 1.0) (/ (sqrt k) 1.0) (/ (pow (sqrt (sqrt (sqrt k))) 3) 1.0) (/ (sqrt k) 1.0) (/ (pow (sqrt (sqrt (sqrt k))) 3) 1.0) (/ (sqrt k) 1.0) (/ (sqrt k) 1.0) (sqrt k) (sqrt k) (* (* PI n) 2.0) (* (* PI n) 2.0) (log (* n (* 2.0 PI))) (log (* n (* 2.0 PI))) (log (* n (* 2.0 PI))) (exp (* (* 2.0 PI) n)) (pow (* n (* 2.0 PI)) 3) (pow (* n (* 2.0 PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* n (* 2.0 PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ 1.0 (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k)))) (exp (/ 1.0 (sqrt (sqrt k)))) (pow (/ 1.0 (sqrt (sqrt k))) 3) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (cbrt (/ 1.0 (sqrt (sqrt k)))) (pow (/ 1.0 (sqrt (sqrt k))) 3) (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (- 1.0) (- (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) 1.0) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1.0 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ (sqrt (sqrt k)) (cbrt 1.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) 1.0) (- (+ (+ (pow (* n (* 2.0 PI)) 0.5) (* (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* n (* 2.0 PI)) 0.5) (log n)))) (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* n (* 2.0 PI)) 0.5)) (* (pow (log n) 2) (pow (* n (* 2.0 PI)) 0.5))))) (* 0.5 (* k (+ (* (pow (* n (* 2.0 PI)) 0.5) (log (* 2.0 PI))) (* (pow (* n (* 2.0 PI)) 0.5) (log n)))))) (pow (pow (* n (* 2.0 PI)) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (- (* +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))) (* (* PI n) 2.0) (* (* PI n) 2.0) (* (* PI n) 2.0) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (* 1.0 (sqrt +nan.0)) (+ (- (/ +nan.0 (* (sqrt +nan.0) (pow k 2))) (/ +nan.0 (* (sqrt +nan.0) k))) (/ +nan.0 (* (pow (sqrt +nan.0) 3) (pow k 2))))) 6.708 * * * [progress]: adding candidates to table 7.450 * * [progress]: iteration 3 / 4 7.450 * * * [progress]: picking best candidate 7.481 * * * * [pick]: Picked # 7.481 * * * [progress]: localizing error 7.499 * * * [progress]: generating rewritten candidates 7.499 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 7.519 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 7.536 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 7.542 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 7.555 * * * [progress]: generating series expansions 7.555 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 7.556 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 7.556 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 7.556 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 7.556 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 7.556 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 7.556 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.556 * [taylor]: Taking taylor expansion of 0.5 in k 7.556 * [backup-simplify]: Simplify 0.5 into 0.5 7.556 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.556 * [taylor]: Taking taylor expansion of 1.0 in k 7.556 * [backup-simplify]: Simplify 1.0 into 1.0 7.556 * [taylor]: Taking taylor expansion of k in k 7.556 * [backup-simplify]: Simplify 0 into 0 7.556 * [backup-simplify]: Simplify 1 into 1 7.556 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 7.556 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 7.556 * [taylor]: Taking taylor expansion of 2.0 in k 7.556 * [backup-simplify]: Simplify 2.0 into 2.0 7.556 * [taylor]: Taking taylor expansion of (* n PI) in k 7.556 * [taylor]: Taking taylor expansion of n in k 7.556 * [backup-simplify]: Simplify n into n 7.556 * [taylor]: Taking taylor expansion of PI in k 7.556 * [backup-simplify]: Simplify PI into PI 7.556 * [backup-simplify]: Simplify (* n PI) into (* n PI) 7.556 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 7.556 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 7.557 * [backup-simplify]: Simplify (- 0) into 0 7.557 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.557 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.557 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 7.557 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 7.557 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 7.557 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 7.557 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 7.557 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.557 * [taylor]: Taking taylor expansion of 0.5 in n 7.557 * [backup-simplify]: Simplify 0.5 into 0.5 7.557 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.557 * [taylor]: Taking taylor expansion of 1.0 in n 7.558 * [backup-simplify]: Simplify 1.0 into 1.0 7.558 * [taylor]: Taking taylor expansion of k in n 7.558 * [backup-simplify]: Simplify k into k 7.558 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.558 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.558 * [taylor]: Taking taylor expansion of 2.0 in n 7.558 * [backup-simplify]: Simplify 2.0 into 2.0 7.558 * [taylor]: Taking taylor expansion of (* n PI) in n 7.558 * [taylor]: Taking taylor expansion of n in n 7.558 * [backup-simplify]: Simplify 0 into 0 7.558 * [backup-simplify]: Simplify 1 into 1 7.558 * [taylor]: Taking taylor expansion of PI in n 7.558 * [backup-simplify]: Simplify PI into PI 7.558 * [backup-simplify]: Simplify (* 0 PI) into 0 7.558 * [backup-simplify]: Simplify (* 2.0 0) into 0 7.559 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.560 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 7.561 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.561 * [backup-simplify]: Simplify (- k) into (- k) 7.561 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 7.561 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 7.562 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.562 * [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)))) 7.563 * [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))))) 7.563 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 7.563 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 7.563 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 7.563 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.563 * [taylor]: Taking taylor expansion of 0.5 in n 7.563 * [backup-simplify]: Simplify 0.5 into 0.5 7.563 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.563 * [taylor]: Taking taylor expansion of 1.0 in n 7.563 * [backup-simplify]: Simplify 1.0 into 1.0 7.563 * [taylor]: Taking taylor expansion of k in n 7.563 * [backup-simplify]: Simplify k into k 7.563 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.563 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.563 * [taylor]: Taking taylor expansion of 2.0 in n 7.563 * [backup-simplify]: Simplify 2.0 into 2.0 7.563 * [taylor]: Taking taylor expansion of (* n PI) in n 7.563 * [taylor]: Taking taylor expansion of n in n 7.563 * [backup-simplify]: Simplify 0 into 0 7.563 * [backup-simplify]: Simplify 1 into 1 7.563 * [taylor]: Taking taylor expansion of PI in n 7.563 * [backup-simplify]: Simplify PI into PI 7.564 * [backup-simplify]: Simplify (* 0 PI) into 0 7.564 * [backup-simplify]: Simplify (* 2.0 0) into 0 7.565 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.565 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 7.566 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.566 * [backup-simplify]: Simplify (- k) into (- k) 7.566 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 7.566 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 7.567 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.568 * [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)))) 7.568 * [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))))) 7.568 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 7.568 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 7.568 * [taylor]: Taking taylor expansion of 0.5 in k 7.569 * [backup-simplify]: Simplify 0.5 into 0.5 7.569 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 7.569 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.569 * [taylor]: Taking taylor expansion of 1.0 in k 7.569 * [backup-simplify]: Simplify 1.0 into 1.0 7.569 * [taylor]: Taking taylor expansion of k in k 7.569 * [backup-simplify]: Simplify 0 into 0 7.569 * [backup-simplify]: Simplify 1 into 1 7.569 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 7.569 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.569 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.569 * [taylor]: Taking taylor expansion of 2.0 in k 7.569 * [backup-simplify]: Simplify 2.0 into 2.0 7.569 * [taylor]: Taking taylor expansion of PI in k 7.569 * [backup-simplify]: Simplify PI into PI 7.569 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.570 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.570 * [taylor]: Taking taylor expansion of (log n) in k 7.570 * [taylor]: Taking taylor expansion of n in k 7.570 * [backup-simplify]: Simplify n into n 7.570 * [backup-simplify]: Simplify (log n) into (log n) 7.570 * [backup-simplify]: Simplify (- 0) into 0 7.570 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.571 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 7.571 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 7.572 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 7.573 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 7.573 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 7.574 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.575 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 7.576 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.576 * [backup-simplify]: Simplify (- 0) into 0 7.576 * [backup-simplify]: Simplify (+ 0 0) into 0 7.576 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 7.577 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.578 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 7.579 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.579 * [taylor]: Taking taylor expansion of 0 in k 7.579 * [backup-simplify]: Simplify 0 into 0 7.579 * [backup-simplify]: Simplify 0 into 0 7.579 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.580 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.581 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 7.581 * [backup-simplify]: Simplify (+ 0 0) into 0 7.581 * [backup-simplify]: Simplify (- 1) into -1 7.582 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.582 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 7.584 * [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)))) 7.586 * [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)))))) 7.588 * [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)))))) 7.588 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.589 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.591 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 7.591 * [backup-simplify]: Simplify (- 0) into 0 7.591 * [backup-simplify]: Simplify (+ 0 0) into 0 7.591 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 7.592 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.593 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 7.595 * [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 7.595 * [taylor]: Taking taylor expansion of 0 in k 7.595 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify 0 into 0 7.596 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.597 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 7.599 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 7.599 * [backup-simplify]: Simplify (+ 0 0) into 0 7.599 * [backup-simplify]: Simplify (- 0) into 0 7.599 * [backup-simplify]: Simplify (+ 0 0) into 0 7.600 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 7.602 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 7.604 * [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)))))) 7.607 * [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)))))) 7.613 * [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)))))) 7.613 * [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)))) 7.613 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 7.613 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.613 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 7.613 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 7.613 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.613 * [taylor]: Taking taylor expansion of 0.5 in k 7.613 * [backup-simplify]: Simplify 0.5 into 0.5 7.613 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.613 * [taylor]: Taking taylor expansion of 1.0 in k 7.613 * [backup-simplify]: Simplify 1.0 into 1.0 7.613 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.613 * [taylor]: Taking taylor expansion of k in k 7.613 * [backup-simplify]: Simplify 0 into 0 7.614 * [backup-simplify]: Simplify 1 into 1 7.614 * [backup-simplify]: Simplify (/ 1 1) into 1 7.614 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 7.614 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 7.614 * [taylor]: Taking taylor expansion of 2.0 in k 7.614 * [backup-simplify]: Simplify 2.0 into 2.0 7.614 * [taylor]: Taking taylor expansion of (/ PI n) in k 7.614 * [taylor]: Taking taylor expansion of PI in k 7.614 * [backup-simplify]: Simplify PI into PI 7.614 * [taylor]: Taking taylor expansion of n in k 7.614 * [backup-simplify]: Simplify n into n 7.614 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 7.614 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 7.614 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 7.614 * [backup-simplify]: Simplify (- 1) into -1 7.614 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.615 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.615 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 7.615 * [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))))) 7.615 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.615 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 7.615 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 7.615 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.615 * [taylor]: Taking taylor expansion of 0.5 in n 7.615 * [backup-simplify]: Simplify 0.5 into 0.5 7.615 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.615 * [taylor]: Taking taylor expansion of 1.0 in n 7.615 * [backup-simplify]: Simplify 1.0 into 1.0 7.615 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.615 * [taylor]: Taking taylor expansion of k in n 7.615 * [backup-simplify]: Simplify k into k 7.615 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.615 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.615 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.615 * [taylor]: Taking taylor expansion of 2.0 in n 7.615 * [backup-simplify]: Simplify 2.0 into 2.0 7.615 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.615 * [taylor]: Taking taylor expansion of PI in n 7.615 * [backup-simplify]: Simplify PI into PI 7.615 * [taylor]: Taking taylor expansion of n in n 7.615 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify 1 into 1 7.616 * [backup-simplify]: Simplify (/ PI 1) into PI 7.616 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.617 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.617 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 7.617 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 7.617 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 7.618 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.618 * [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)))) 7.619 * [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))))) 7.619 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.619 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 7.619 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 7.619 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.619 * [taylor]: Taking taylor expansion of 0.5 in n 7.619 * [backup-simplify]: Simplify 0.5 into 0.5 7.619 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.619 * [taylor]: Taking taylor expansion of 1.0 in n 7.619 * [backup-simplify]: Simplify 1.0 into 1.0 7.619 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.619 * [taylor]: Taking taylor expansion of k in n 7.619 * [backup-simplify]: Simplify k into k 7.619 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.619 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.619 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.619 * [taylor]: Taking taylor expansion of 2.0 in n 7.619 * [backup-simplify]: Simplify 2.0 into 2.0 7.619 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.619 * [taylor]: Taking taylor expansion of PI in n 7.619 * [backup-simplify]: Simplify PI into PI 7.619 * [taylor]: Taking taylor expansion of n in n 7.619 * [backup-simplify]: Simplify 0 into 0 7.619 * [backup-simplify]: Simplify 1 into 1 7.620 * [backup-simplify]: Simplify (/ PI 1) into PI 7.620 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.620 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.620 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 7.621 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 7.621 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 7.621 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.622 * [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)))) 7.623 * [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))))) 7.623 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 7.623 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 7.623 * [taylor]: Taking taylor expansion of 0.5 in k 7.623 * [backup-simplify]: Simplify 0.5 into 0.5 7.623 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 7.623 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 7.623 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.623 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.623 * [taylor]: Taking taylor expansion of 2.0 in k 7.623 * [backup-simplify]: Simplify 2.0 into 2.0 7.623 * [taylor]: Taking taylor expansion of PI in k 7.623 * [backup-simplify]: Simplify PI into PI 7.623 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.624 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.624 * [taylor]: Taking taylor expansion of (log n) in k 7.624 * [taylor]: Taking taylor expansion of n in k 7.624 * [backup-simplify]: Simplify n into n 7.624 * [backup-simplify]: Simplify (log n) into (log n) 7.624 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.624 * [taylor]: Taking taylor expansion of 1.0 in k 7.624 * [backup-simplify]: Simplify 1.0 into 1.0 7.624 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.624 * [taylor]: Taking taylor expansion of k in k 7.624 * [backup-simplify]: Simplify 0 into 0 7.624 * [backup-simplify]: Simplify 1 into 1 7.624 * [backup-simplify]: Simplify (/ 1 1) into 1 7.624 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 7.625 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 7.625 * [backup-simplify]: Simplify (- 1) into -1 7.626 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.626 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 7.627 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 7.628 * [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))))) 7.628 * [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))))) 7.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.629 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.630 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.631 * [backup-simplify]: Simplify (- 0) into 0 7.631 * [backup-simplify]: Simplify (+ 0 0) into 0 7.631 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 7.632 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.633 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 7.634 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.634 * [taylor]: Taking taylor expansion of 0 in k 7.634 * [backup-simplify]: Simplify 0 into 0 7.634 * [backup-simplify]: Simplify 0 into 0 7.634 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.635 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.641 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 7.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.641 * [backup-simplify]: Simplify (- 0) into 0 7.642 * [backup-simplify]: Simplify (+ 0 0) into 0 7.642 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 7.643 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.644 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 7.645 * [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 7.645 * [taylor]: Taking taylor expansion of 0 in k 7.645 * [backup-simplify]: Simplify 0 into 0 7.645 * [backup-simplify]: Simplify 0 into 0 7.645 * [backup-simplify]: Simplify 0 into 0 7.645 * [backup-simplify]: Simplify 0 into 0 7.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.647 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.650 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 7.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.650 * [backup-simplify]: Simplify (- 0) into 0 7.650 * [backup-simplify]: Simplify (+ 0 0) into 0 7.651 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 7.652 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.653 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 7.654 * [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 7.654 * [taylor]: Taking taylor expansion of 0 in k 7.654 * [backup-simplify]: Simplify 0 into 0 7.654 * [backup-simplify]: Simplify 0 into 0 7.655 * [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)))) 7.656 * [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))) 7.656 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 7.656 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.656 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 7.656 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 7.656 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.656 * [taylor]: Taking taylor expansion of 0.5 in k 7.656 * [backup-simplify]: Simplify 0.5 into 0.5 7.656 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.656 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.656 * [taylor]: Taking taylor expansion of k in k 7.656 * [backup-simplify]: Simplify 0 into 0 7.656 * [backup-simplify]: Simplify 1 into 1 7.656 * [backup-simplify]: Simplify (/ 1 1) into 1 7.656 * [taylor]: Taking taylor expansion of 1.0 in k 7.656 * [backup-simplify]: Simplify 1.0 into 1.0 7.656 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 7.656 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 7.656 * [taylor]: Taking taylor expansion of -2.0 in k 7.656 * [backup-simplify]: Simplify -2.0 into -2.0 7.656 * [taylor]: Taking taylor expansion of (/ PI n) in k 7.656 * [taylor]: Taking taylor expansion of PI in k 7.656 * [backup-simplify]: Simplify PI into PI 7.656 * [taylor]: Taking taylor expansion of n in k 7.656 * [backup-simplify]: Simplify n into n 7.656 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 7.656 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 7.656 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 7.657 * [backup-simplify]: Simplify (+ 1 0) into 1 7.657 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.657 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 7.657 * [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)))))) 7.657 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 7.657 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 7.657 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 7.657 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 7.657 * [taylor]: Taking taylor expansion of 0.5 in n 7.657 * [backup-simplify]: Simplify 0.5 into 0.5 7.657 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.657 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.657 * [taylor]: Taking taylor expansion of k in n 7.657 * [backup-simplify]: Simplify k into k 7.657 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.657 * [taylor]: Taking taylor expansion of 1.0 in n 7.657 * [backup-simplify]: Simplify 1.0 into 1.0 7.657 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.657 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.657 * [taylor]: Taking taylor expansion of -2.0 in n 7.657 * [backup-simplify]: Simplify -2.0 into -2.0 7.657 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.657 * [taylor]: Taking taylor expansion of PI in n 7.657 * [backup-simplify]: Simplify PI into PI 7.657 * [taylor]: Taking taylor expansion of n in n 7.657 * [backup-simplify]: Simplify 0 into 0 7.657 * [backup-simplify]: Simplify 1 into 1 7.658 * [backup-simplify]: Simplify (/ PI 1) into PI 7.658 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 7.659 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 7.659 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 7.659 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 7.660 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.660 * [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)))) 7.661 * [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))))) 7.661 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 7.661 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 7.661 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 7.661 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 7.661 * [taylor]: Taking taylor expansion of 0.5 in n 7.661 * [backup-simplify]: Simplify 0.5 into 0.5 7.661 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.661 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.661 * [taylor]: Taking taylor expansion of k in n 7.661 * [backup-simplify]: Simplify k into k 7.661 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.661 * [taylor]: Taking taylor expansion of 1.0 in n 7.661 * [backup-simplify]: Simplify 1.0 into 1.0 7.661 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.661 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.661 * [taylor]: Taking taylor expansion of -2.0 in n 7.661 * [backup-simplify]: Simplify -2.0 into -2.0 7.661 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.661 * [taylor]: Taking taylor expansion of PI in n 7.661 * [backup-simplify]: Simplify PI into PI 7.661 * [taylor]: Taking taylor expansion of n in n 7.661 * [backup-simplify]: Simplify 0 into 0 7.661 * [backup-simplify]: Simplify 1 into 1 7.662 * [backup-simplify]: Simplify (/ PI 1) into PI 7.662 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 7.663 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 7.663 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 7.663 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 7.664 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.664 * [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)))) 7.665 * [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))))) 7.665 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 7.665 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 7.665 * [taylor]: Taking taylor expansion of 0.5 in k 7.665 * [backup-simplify]: Simplify 0.5 into 0.5 7.665 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 7.665 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.665 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.665 * [taylor]: Taking taylor expansion of k in k 7.665 * [backup-simplify]: Simplify 0 into 0 7.665 * [backup-simplify]: Simplify 1 into 1 7.665 * [backup-simplify]: Simplify (/ 1 1) into 1 7.665 * [taylor]: Taking taylor expansion of 1.0 in k 7.665 * [backup-simplify]: Simplify 1.0 into 1.0 7.665 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 7.665 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 7.665 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 7.666 * [taylor]: Taking taylor expansion of -2.0 in k 7.666 * [backup-simplify]: Simplify -2.0 into -2.0 7.666 * [taylor]: Taking taylor expansion of PI in k 7.666 * [backup-simplify]: Simplify PI into PI 7.666 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 7.666 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 7.666 * [taylor]: Taking taylor expansion of (log n) in k 7.666 * [taylor]: Taking taylor expansion of n in k 7.666 * [backup-simplify]: Simplify n into n 7.667 * [backup-simplify]: Simplify (log n) into (log n) 7.667 * [backup-simplify]: Simplify (+ 1 0) into 1 7.667 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 7.667 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 7.668 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 7.669 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 7.669 * [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))))) 7.670 * [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))))) 7.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.671 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 7.672 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 7.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.672 * [backup-simplify]: Simplify (+ 0 0) into 0 7.673 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 7.673 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.674 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 7.675 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.675 * [taylor]: Taking taylor expansion of 0 in k 7.675 * [backup-simplify]: Simplify 0 into 0 7.675 * [backup-simplify]: Simplify 0 into 0 7.675 * [backup-simplify]: Simplify 0 into 0 7.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.676 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.678 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 7.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.678 * [backup-simplify]: Simplify (+ 0 0) into 0 7.679 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 7.680 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.681 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 7.682 * [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 7.682 * [taylor]: Taking taylor expansion of 0 in k 7.682 * [backup-simplify]: Simplify 0 into 0 7.682 * [backup-simplify]: Simplify 0 into 0 7.682 * [backup-simplify]: Simplify 0 into 0 7.682 * [backup-simplify]: Simplify 0 into 0 7.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.683 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.686 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 7.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.687 * [backup-simplify]: Simplify (+ 0 0) into 0 7.688 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 7.689 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.690 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 7.691 * [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 7.691 * [taylor]: Taking taylor expansion of 0 in k 7.691 * [backup-simplify]: Simplify 0 into 0 7.691 * [backup-simplify]: Simplify 0 into 0 7.692 * [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)))))) 7.692 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 7.693 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 7.693 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 7.693 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.693 * [taylor]: Taking taylor expansion of 2.0 in n 7.693 * [backup-simplify]: Simplify 2.0 into 2.0 7.693 * [taylor]: Taking taylor expansion of (* n PI) in n 7.693 * [taylor]: Taking taylor expansion of n in n 7.693 * [backup-simplify]: Simplify 0 into 0 7.693 * [backup-simplify]: Simplify 1 into 1 7.693 * [taylor]: Taking taylor expansion of PI in n 7.693 * [backup-simplify]: Simplify PI into PI 7.693 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.693 * [taylor]: Taking taylor expansion of 2.0 in n 7.693 * [backup-simplify]: Simplify 2.0 into 2.0 7.693 * [taylor]: Taking taylor expansion of (* n PI) in n 7.693 * [taylor]: Taking taylor expansion of n in n 7.693 * [backup-simplify]: Simplify 0 into 0 7.693 * [backup-simplify]: Simplify 1 into 1 7.693 * [taylor]: Taking taylor expansion of PI in n 7.693 * [backup-simplify]: Simplify PI into PI 7.693 * [backup-simplify]: Simplify (* 0 PI) into 0 7.693 * [backup-simplify]: Simplify (* 2.0 0) into 0 7.693 * [backup-simplify]: Simplify 0 into 0 7.694 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.695 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 7.695 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.697 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 7.697 * [backup-simplify]: Simplify 0 into 0 7.697 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.698 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.698 * [backup-simplify]: Simplify 0 into 0 7.699 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.699 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 7.699 * [backup-simplify]: Simplify 0 into 0 7.700 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 7.701 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 7.701 * [backup-simplify]: Simplify 0 into 0 7.702 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 7.703 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 7.703 * [backup-simplify]: Simplify 0 into 0 7.704 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 7.704 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 7.704 * [backup-simplify]: Simplify 0 into 0 7.705 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 7.705 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 7.705 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 7.705 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.705 * [taylor]: Taking taylor expansion of 2.0 in n 7.705 * [backup-simplify]: Simplify 2.0 into 2.0 7.705 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.705 * [taylor]: Taking taylor expansion of PI in n 7.705 * [backup-simplify]: Simplify PI into PI 7.705 * [taylor]: Taking taylor expansion of n in n 7.705 * [backup-simplify]: Simplify 0 into 0 7.705 * [backup-simplify]: Simplify 1 into 1 7.706 * [backup-simplify]: Simplify (/ PI 1) into PI 7.706 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.706 * [taylor]: Taking taylor expansion of 2.0 in n 7.706 * [backup-simplify]: Simplify 2.0 into 2.0 7.706 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.706 * [taylor]: Taking taylor expansion of PI in n 7.706 * [backup-simplify]: Simplify PI into PI 7.706 * [taylor]: Taking taylor expansion of n in n 7.706 * [backup-simplify]: Simplify 0 into 0 7.706 * [backup-simplify]: Simplify 1 into 1 7.706 * [backup-simplify]: Simplify (/ PI 1) into PI 7.706 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.707 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.708 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.708 * [backup-simplify]: Simplify 0 into 0 7.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.709 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.709 * [backup-simplify]: Simplify 0 into 0 7.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.710 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.710 * [backup-simplify]: Simplify 0 into 0 7.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.711 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.711 * [backup-simplify]: Simplify 0 into 0 7.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.713 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 7.713 * [backup-simplify]: Simplify 0 into 0 7.713 * [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 7.714 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 7.714 * [backup-simplify]: Simplify 0 into 0 7.715 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 7.715 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 7.715 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 7.715 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.715 * [taylor]: Taking taylor expansion of -2.0 in n 7.715 * [backup-simplify]: Simplify -2.0 into -2.0 7.715 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.715 * [taylor]: Taking taylor expansion of PI in n 7.715 * [backup-simplify]: Simplify PI into PI 7.715 * [taylor]: Taking taylor expansion of n in n 7.715 * [backup-simplify]: Simplify 0 into 0 7.715 * [backup-simplify]: Simplify 1 into 1 7.715 * [backup-simplify]: Simplify (/ PI 1) into PI 7.715 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.715 * [taylor]: Taking taylor expansion of -2.0 in n 7.715 * [backup-simplify]: Simplify -2.0 into -2.0 7.715 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.715 * [taylor]: Taking taylor expansion of PI in n 7.715 * [backup-simplify]: Simplify PI into PI 7.715 * [taylor]: Taking taylor expansion of n in n 7.715 * [backup-simplify]: Simplify 0 into 0 7.715 * [backup-simplify]: Simplify 1 into 1 7.716 * [backup-simplify]: Simplify (/ PI 1) into PI 7.716 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 7.716 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 7.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.717 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 7.717 * [backup-simplify]: Simplify 0 into 0 7.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.718 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.718 * [backup-simplify]: Simplify 0 into 0 7.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.720 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.720 * [backup-simplify]: Simplify 0 into 0 7.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.721 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.721 * [backup-simplify]: Simplify 0 into 0 7.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.722 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 7.722 * [backup-simplify]: Simplify 0 into 0 7.723 * [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 7.724 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 7.724 * [backup-simplify]: Simplify 0 into 0 7.724 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 7.724 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 7.724 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 7.724 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 7.724 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 7.724 * [taylor]: Taking taylor expansion of 1.0 in k 7.724 * [backup-simplify]: Simplify 1.0 into 1.0 7.724 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.724 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.724 * [taylor]: Taking taylor expansion of k in k 7.724 * [backup-simplify]: Simplify 0 into 0 7.724 * [backup-simplify]: Simplify 1 into 1 7.725 * [backup-simplify]: Simplify (/ 1 1) into 1 7.725 * [backup-simplify]: Simplify (sqrt 0) into 0 7.726 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.726 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 7.726 * [taylor]: Taking taylor expansion of 1.0 in k 7.726 * [backup-simplify]: Simplify 1.0 into 1.0 7.726 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.726 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.726 * [taylor]: Taking taylor expansion of k in k 7.726 * [backup-simplify]: Simplify 0 into 0 7.726 * [backup-simplify]: Simplify 1 into 1 7.726 * [backup-simplify]: Simplify (/ 1 1) into 1 7.726 * [backup-simplify]: Simplify (sqrt 0) into 0 7.733 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.734 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.734 * [backup-simplify]: Simplify 0 into 0 7.735 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 7.735 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.737 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.738 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 7.739 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.741 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.742 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 7.742 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.743 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 7.743 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 7.743 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 7.743 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 7.743 * [taylor]: Taking taylor expansion of 1.0 in k 7.743 * [backup-simplify]: Simplify 1.0 into 1.0 7.743 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.743 * [taylor]: Taking taylor expansion of k in k 7.743 * [backup-simplify]: Simplify 0 into 0 7.744 * [backup-simplify]: Simplify 1 into 1 7.744 * [backup-simplify]: Simplify (sqrt 0) into 0 7.744 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.744 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 7.744 * [taylor]: Taking taylor expansion of 1.0 in k 7.745 * [backup-simplify]: Simplify 1.0 into 1.0 7.745 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.745 * [taylor]: Taking taylor expansion of k in k 7.745 * [backup-simplify]: Simplify 0 into 0 7.745 * [backup-simplify]: Simplify 1 into 1 7.745 * [backup-simplify]: Simplify (sqrt 0) into 0 7.745 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.746 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.746 * [backup-simplify]: Simplify 0 into 0 7.747 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 7.747 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.748 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.750 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 7.750 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.752 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.753 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 7.753 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.754 * [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)))))))) 7.754 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 7.754 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 7.754 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 7.754 * [taylor]: Taking taylor expansion of 1.0 in k 7.754 * [backup-simplify]: Simplify 1.0 into 1.0 7.754 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.754 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.754 * [taylor]: Taking taylor expansion of -1 in k 7.754 * [backup-simplify]: Simplify -1 into -1 7.754 * [taylor]: Taking taylor expansion of k in k 7.754 * [backup-simplify]: Simplify 0 into 0 7.754 * [backup-simplify]: Simplify 1 into 1 7.755 * [backup-simplify]: Simplify (/ -1 1) into -1 7.755 * [backup-simplify]: Simplify (sqrt 0) into 0 7.756 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.756 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 7.756 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 7.756 * [taylor]: Taking taylor expansion of 1.0 in k 7.756 * [backup-simplify]: Simplify 1.0 into 1.0 7.756 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.756 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.756 * [taylor]: Taking taylor expansion of -1 in k 7.756 * [backup-simplify]: Simplify -1 into -1 7.756 * [taylor]: Taking taylor expansion of k in k 7.756 * [backup-simplify]: Simplify 0 into 0 7.756 * [backup-simplify]: Simplify 1 into 1 7.756 * [backup-simplify]: Simplify (/ -1 1) into -1 7.756 * [backup-simplify]: Simplify (sqrt 0) into 0 7.757 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.757 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 7.758 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.760 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.761 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 7.761 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.764 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.766 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 7.766 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.767 * [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))))) 7.767 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 7.767 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 7.767 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 7.767 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 7.767 * [taylor]: Taking taylor expansion of 1.0 in k 7.767 * [backup-simplify]: Simplify 1.0 into 1.0 7.767 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.767 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.767 * [taylor]: Taking taylor expansion of k in k 7.767 * [backup-simplify]: Simplify 0 into 0 7.767 * [backup-simplify]: Simplify 1 into 1 7.767 * [backup-simplify]: Simplify (/ 1 1) into 1 7.768 * [backup-simplify]: Simplify (sqrt 0) into 0 7.768 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.768 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 7.768 * [taylor]: Taking taylor expansion of 1.0 in k 7.768 * [backup-simplify]: Simplify 1.0 into 1.0 7.768 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.768 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.768 * [taylor]: Taking taylor expansion of k in k 7.768 * [backup-simplify]: Simplify 0 into 0 7.769 * [backup-simplify]: Simplify 1 into 1 7.769 * [backup-simplify]: Simplify (/ 1 1) into 1 7.769 * [backup-simplify]: Simplify (sqrt 0) into 0 7.770 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.770 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.770 * [backup-simplify]: Simplify 0 into 0 7.771 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 7.771 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.773 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.774 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 7.774 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.777 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.778 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 7.778 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.779 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 7.779 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 7.779 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 7.779 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 7.779 * [taylor]: Taking taylor expansion of 1.0 in k 7.779 * [backup-simplify]: Simplify 1.0 into 1.0 7.779 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.779 * [taylor]: Taking taylor expansion of k in k 7.779 * [backup-simplify]: Simplify 0 into 0 7.779 * [backup-simplify]: Simplify 1 into 1 7.779 * [backup-simplify]: Simplify (sqrt 0) into 0 7.780 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.780 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 7.780 * [taylor]: Taking taylor expansion of 1.0 in k 7.780 * [backup-simplify]: Simplify 1.0 into 1.0 7.780 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.780 * [taylor]: Taking taylor expansion of k in k 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [backup-simplify]: Simplify 1 into 1 7.781 * [backup-simplify]: Simplify (sqrt 0) into 0 7.781 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.782 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.782 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 7.783 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.784 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.785 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 7.786 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.788 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.789 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 7.789 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.790 * [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)))))))) 7.790 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 7.790 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 7.790 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 7.790 * [taylor]: Taking taylor expansion of 1.0 in k 7.790 * [backup-simplify]: Simplify 1.0 into 1.0 7.790 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.790 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.790 * [taylor]: Taking taylor expansion of -1 in k 7.790 * [backup-simplify]: Simplify -1 into -1 7.790 * [taylor]: Taking taylor expansion of k in k 7.790 * [backup-simplify]: Simplify 0 into 0 7.790 * [backup-simplify]: Simplify 1 into 1 7.791 * [backup-simplify]: Simplify (/ -1 1) into -1 7.791 * [backup-simplify]: Simplify (sqrt 0) into 0 7.792 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.792 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 7.792 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 7.792 * [taylor]: Taking taylor expansion of 1.0 in k 7.792 * [backup-simplify]: Simplify 1.0 into 1.0 7.792 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.792 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.792 * [taylor]: Taking taylor expansion of -1 in k 7.792 * [backup-simplify]: Simplify -1 into -1 7.792 * [taylor]: Taking taylor expansion of k in k 7.792 * [backup-simplify]: Simplify 0 into 0 7.792 * [backup-simplify]: Simplify 1 into 1 7.792 * [backup-simplify]: Simplify (/ -1 1) into -1 7.793 * [backup-simplify]: Simplify (sqrt 0) into 0 7.793 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.794 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 7.794 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.796 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.797 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 7.797 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.800 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.802 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 7.802 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.803 * [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))))) 7.803 * * * [progress]: simplifying candidates 7.805 * [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))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 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) (- (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 (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 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))))) 7.808 * * [simplify]: Extracting # 0 : cost 0 7.808 * * [simplify]: Extracting # 1 : cost 0 7.808 * * [simplify]: Extracting # 2 : cost 0 7.808 * * [simplify]: Extracting # 3 : cost 0 7.809 * * [simplify]: Extracting # 4 : cost 0 7.809 * * [simplify]: Extracting # 5 : cost 0 7.809 * * [simplify]: Extracting # 6 : cost 0 7.809 * * [simplify]: Extracting # 7 : cost 0 7.810 * * [simplify]: Extracting # 8 : cost 0 7.810 * * [simplify]: Extracting # 9 : cost 0 7.810 * * [simplify]: Extracting # 10 : cost 0 7.811 * * [simplify]: Extracting # 11 : cost 0 7.811 * * [simplify]: Extracting # 12 : cost 0 7.811 * * [simplify]: Extracting # 13 : cost 0 7.811 * * [simplify]: iteration 0 : 234 enodes (cost 1642 ) 7.871 * * [simplify]: Extracting # 0 : cost 0 7.872 * * [simplify]: Extracting # 1 : cost 0 7.873 * * [simplify]: Extracting # 2 : cost 0 7.873 * * [simplify]: Extracting # 3 : cost 0 7.874 * * [simplify]: Extracting # 4 : cost 0 7.875 * * [simplify]: Extracting # 5 : cost 0 7.875 * * [simplify]: iteration 1 : 555 enodes (cost 1507 ) 8.061 * * [simplify]: Extracting # 0 : cost 0 8.063 * * [simplify]: Extracting # 1 : cost 0 8.065 * * [simplify]: Extracting # 2 : cost 0 8.067 * * [simplify]: Extracting # 3 : cost 0 8.069 * * [simplify]: Extracting # 4 : cost 0 8.071 * * [simplify]: iteration 2 : 1707 enodes (cost 1401 ) 8.575 * * [simplify]: Extracting # 0 : cost 0 8.581 * * [simplify]: Extracting # 1 : cost 0 8.587 * * [simplify]: Extracting # 2 : cost 0 8.594 * * [simplify]: Extracting # 3 : cost 0 8.600 * * [simplify]: Extracting # 4 : cost 0 8.610 * * [simplify]: iteration done: 5000 enodes (cost 1380 ) 8.611 * [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 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* 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))) (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) (- (+ (+ (pow (* (* 2.0 PI) n) 0.5) (* (* 0.25 (pow k 2)) (* (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5)) (log n)))) (* (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (+ (pow (log (* 2.0 PI)) 2) (pow (log n) 2)))) (* 0.5 (* (* k (pow (* (* 2.0 PI) n) 0.5)) (log (* (* 2.0 PI) 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)))))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (- (+ (* +nan.0 (- k (pow k 2))) +nan.0)) (- (+ (- (/ (/ +nan.0 k) k) (/ +nan.0 k)) (/ +nan.0 (pow k 3)))) (- (- (/ (/ +nan.0 k) k) (- (/ +nan.0 k) +nan.0))) (- (+ (* +nan.0 (- k (pow k 2))) +nan.0)) (- (+ (- (/ (/ +nan.0 k) k) (/ +nan.0 k)) (/ +nan.0 (pow k 3)))) (- (- (/ (/ +nan.0 k) k) (- (/ +nan.0 k) +nan.0))) 8.612 * * * [progress]: adding candidates to table 9.040 * * [progress]: iteration 4 / 4 9.040 * * * [progress]: picking best candidate 9.071 * * * * [pick]: Picked # 9.071 * * * [progress]: localizing error 9.096 * * * [progress]: generating rewritten candidates 9.096 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 9.116 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 9.140 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 9.160 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 9.196 * * * [progress]: generating series expansions 9.196 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 9.196 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 9.196 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 9.197 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 9.197 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 9.197 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 9.197 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.197 * [taylor]: Taking taylor expansion of 0.5 in k 9.197 * [backup-simplify]: Simplify 0.5 into 0.5 9.197 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.197 * [taylor]: Taking taylor expansion of 1.0 in k 9.197 * [backup-simplify]: Simplify 1.0 into 1.0 9.197 * [taylor]: Taking taylor expansion of k in k 9.197 * [backup-simplify]: Simplify 0 into 0 9.197 * [backup-simplify]: Simplify 1 into 1 9.197 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 9.197 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 9.197 * [taylor]: Taking taylor expansion of 2.0 in k 9.197 * [backup-simplify]: Simplify 2.0 into 2.0 9.197 * [taylor]: Taking taylor expansion of (* n PI) in k 9.197 * [taylor]: Taking taylor expansion of n in k 9.197 * [backup-simplify]: Simplify n into n 9.197 * [taylor]: Taking taylor expansion of PI in k 9.197 * [backup-simplify]: Simplify PI into PI 9.197 * [backup-simplify]: Simplify (* n PI) into (* n PI) 9.197 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 9.197 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 9.197 * [backup-simplify]: Simplify (- 0) into 0 9.198 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.198 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.198 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 9.198 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 9.198 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 9.198 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 9.198 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 9.198 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 9.198 * [taylor]: Taking taylor expansion of 0.5 in n 9.198 * [backup-simplify]: Simplify 0.5 into 0.5 9.198 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.198 * [taylor]: Taking taylor expansion of 1.0 in n 9.198 * [backup-simplify]: Simplify 1.0 into 1.0 9.198 * [taylor]: Taking taylor expansion of k in n 9.198 * [backup-simplify]: Simplify k into k 9.198 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.198 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.198 * [taylor]: Taking taylor expansion of 2.0 in n 9.198 * [backup-simplify]: Simplify 2.0 into 2.0 9.198 * [taylor]: Taking taylor expansion of (* n PI) in n 9.198 * [taylor]: Taking taylor expansion of n in n 9.198 * [backup-simplify]: Simplify 0 into 0 9.198 * [backup-simplify]: Simplify 1 into 1 9.198 * [taylor]: Taking taylor expansion of PI in n 9.198 * [backup-simplify]: Simplify PI into PI 9.199 * [backup-simplify]: Simplify (* 0 PI) into 0 9.199 * [backup-simplify]: Simplify (* 2.0 0) into 0 9.200 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.201 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 9.201 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.201 * [backup-simplify]: Simplify (- k) into (- k) 9.201 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 9.201 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 9.202 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.203 * [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)))) 9.204 * [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))))) 9.204 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 9.204 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 9.204 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 9.204 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 9.204 * [taylor]: Taking taylor expansion of 0.5 in n 9.204 * [backup-simplify]: Simplify 0.5 into 0.5 9.204 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.204 * [taylor]: Taking taylor expansion of 1.0 in n 9.204 * [backup-simplify]: Simplify 1.0 into 1.0 9.204 * [taylor]: Taking taylor expansion of k in n 9.204 * [backup-simplify]: Simplify k into k 9.204 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.204 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.204 * [taylor]: Taking taylor expansion of 2.0 in n 9.204 * [backup-simplify]: Simplify 2.0 into 2.0 9.204 * [taylor]: Taking taylor expansion of (* n PI) in n 9.204 * [taylor]: Taking taylor expansion of n in n 9.204 * [backup-simplify]: Simplify 0 into 0 9.204 * [backup-simplify]: Simplify 1 into 1 9.204 * [taylor]: Taking taylor expansion of PI in n 9.204 * [backup-simplify]: Simplify PI into PI 9.204 * [backup-simplify]: Simplify (* 0 PI) into 0 9.204 * [backup-simplify]: Simplify (* 2.0 0) into 0 9.205 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.206 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 9.207 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.207 * [backup-simplify]: Simplify (- k) into (- k) 9.207 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 9.207 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 9.208 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.208 * [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)))) 9.209 * [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))))) 9.209 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 9.209 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 9.209 * [taylor]: Taking taylor expansion of 0.5 in k 9.209 * [backup-simplify]: Simplify 0.5 into 0.5 9.209 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 9.209 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.209 * [taylor]: Taking taylor expansion of 1.0 in k 9.209 * [backup-simplify]: Simplify 1.0 into 1.0 9.209 * [taylor]: Taking taylor expansion of k in k 9.209 * [backup-simplify]: Simplify 0 into 0 9.209 * [backup-simplify]: Simplify 1 into 1 9.209 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 9.209 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.209 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.209 * [taylor]: Taking taylor expansion of 2.0 in k 9.209 * [backup-simplify]: Simplify 2.0 into 2.0 9.209 * [taylor]: Taking taylor expansion of PI in k 9.209 * [backup-simplify]: Simplify PI into PI 9.210 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.210 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.210 * [taylor]: Taking taylor expansion of (log n) in k 9.210 * [taylor]: Taking taylor expansion of n in k 9.210 * [backup-simplify]: Simplify n into n 9.210 * [backup-simplify]: Simplify (log n) into (log n) 9.211 * [backup-simplify]: Simplify (- 0) into 0 9.211 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.219 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 9.220 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 9.220 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 9.221 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 9.222 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 9.222 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.223 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 9.224 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.224 * [backup-simplify]: Simplify (- 0) into 0 9.224 * [backup-simplify]: Simplify (+ 0 0) into 0 9.224 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 9.225 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.226 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 9.227 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.227 * [taylor]: Taking taylor expansion of 0 in k 9.227 * [backup-simplify]: Simplify 0 into 0 9.227 * [backup-simplify]: Simplify 0 into 0 9.228 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.229 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.229 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 9.229 * [backup-simplify]: Simplify (+ 0 0) into 0 9.230 * [backup-simplify]: Simplify (- 1) into -1 9.230 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.231 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 9.232 * [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)))) 9.234 * [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)))))) 9.236 * [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)))))) 9.236 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.237 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.239 * [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 9.239 * [backup-simplify]: Simplify (- 0) into 0 9.239 * [backup-simplify]: Simplify (+ 0 0) into 0 9.240 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 9.240 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.241 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 9.243 * [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 9.243 * [taylor]: Taking taylor expansion of 0 in k 9.243 * [backup-simplify]: Simplify 0 into 0 9.243 * [backup-simplify]: Simplify 0 into 0 9.243 * [backup-simplify]: Simplify 0 into 0 9.244 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.245 * [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 9.246 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 9.247 * [backup-simplify]: Simplify (+ 0 0) into 0 9.247 * [backup-simplify]: Simplify (- 0) into 0 9.247 * [backup-simplify]: Simplify (+ 0 0) into 0 9.248 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 9.250 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 9.252 * [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)))))) 9.255 * [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)))))) 9.260 * [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)))))) 9.261 * [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)))) 9.261 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 9.261 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.261 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 9.261 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 9.261 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.261 * [taylor]: Taking taylor expansion of 0.5 in k 9.261 * [backup-simplify]: Simplify 0.5 into 0.5 9.261 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.261 * [taylor]: Taking taylor expansion of 1.0 in k 9.261 * [backup-simplify]: Simplify 1.0 into 1.0 9.261 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.261 * [taylor]: Taking taylor expansion of k in k 9.261 * [backup-simplify]: Simplify 0 into 0 9.261 * [backup-simplify]: Simplify 1 into 1 9.261 * [backup-simplify]: Simplify (/ 1 1) into 1 9.261 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 9.261 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 9.261 * [taylor]: Taking taylor expansion of 2.0 in k 9.262 * [backup-simplify]: Simplify 2.0 into 2.0 9.262 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.262 * [taylor]: Taking taylor expansion of PI in k 9.262 * [backup-simplify]: Simplify PI into PI 9.262 * [taylor]: Taking taylor expansion of n in k 9.262 * [backup-simplify]: Simplify n into n 9.262 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 9.262 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 9.262 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 9.262 * [backup-simplify]: Simplify (- 1) into -1 9.262 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.262 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.263 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 9.263 * [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))))) 9.263 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 9.263 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 9.263 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 9.263 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 9.263 * [taylor]: Taking taylor expansion of 0.5 in n 9.263 * [backup-simplify]: Simplify 0.5 into 0.5 9.263 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.263 * [taylor]: Taking taylor expansion of 1.0 in n 9.263 * [backup-simplify]: Simplify 1.0 into 1.0 9.263 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.263 * [taylor]: Taking taylor expansion of k in n 9.263 * [backup-simplify]: Simplify k into k 9.263 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.263 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.263 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.263 * [taylor]: Taking taylor expansion of 2.0 in n 9.263 * [backup-simplify]: Simplify 2.0 into 2.0 9.263 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.263 * [taylor]: Taking taylor expansion of PI in n 9.263 * [backup-simplify]: Simplify PI into PI 9.263 * [taylor]: Taking taylor expansion of n in n 9.263 * [backup-simplify]: Simplify 0 into 0 9.263 * [backup-simplify]: Simplify 1 into 1 9.263 * [backup-simplify]: Simplify (/ PI 1) into PI 9.264 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.264 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.264 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.264 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.264 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 9.265 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.266 * [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)))) 9.267 * [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))))) 9.267 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 9.267 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 9.267 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 9.267 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 9.267 * [taylor]: Taking taylor expansion of 0.5 in n 9.267 * [backup-simplify]: Simplify 0.5 into 0.5 9.267 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.267 * [taylor]: Taking taylor expansion of 1.0 in n 9.267 * [backup-simplify]: Simplify 1.0 into 1.0 9.267 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.267 * [taylor]: Taking taylor expansion of k in n 9.267 * [backup-simplify]: Simplify k into k 9.267 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.267 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.267 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.267 * [taylor]: Taking taylor expansion of 2.0 in n 9.267 * [backup-simplify]: Simplify 2.0 into 2.0 9.267 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.267 * [taylor]: Taking taylor expansion of PI in n 9.267 * [backup-simplify]: Simplify PI into PI 9.267 * [taylor]: Taking taylor expansion of n in n 9.267 * [backup-simplify]: Simplify 0 into 0 9.267 * [backup-simplify]: Simplify 1 into 1 9.267 * [backup-simplify]: Simplify (/ PI 1) into PI 9.268 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.268 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.268 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.268 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.268 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 9.269 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.270 * [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)))) 9.271 * [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))))) 9.271 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 9.271 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 9.271 * [taylor]: Taking taylor expansion of 0.5 in k 9.271 * [backup-simplify]: Simplify 0.5 into 0.5 9.271 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 9.271 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 9.271 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.271 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.271 * [taylor]: Taking taylor expansion of 2.0 in k 9.271 * [backup-simplify]: Simplify 2.0 into 2.0 9.271 * [taylor]: Taking taylor expansion of PI in k 9.271 * [backup-simplify]: Simplify PI into PI 9.271 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.272 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.272 * [taylor]: Taking taylor expansion of (log n) in k 9.272 * [taylor]: Taking taylor expansion of n in k 9.272 * [backup-simplify]: Simplify n into n 9.272 * [backup-simplify]: Simplify (log n) into (log n) 9.272 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.272 * [taylor]: Taking taylor expansion of 1.0 in k 9.272 * [backup-simplify]: Simplify 1.0 into 1.0 9.272 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.272 * [taylor]: Taking taylor expansion of k in k 9.272 * [backup-simplify]: Simplify 0 into 0 9.272 * [backup-simplify]: Simplify 1 into 1 9.272 * [backup-simplify]: Simplify (/ 1 1) into 1 9.272 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 9.273 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 9.273 * [backup-simplify]: Simplify (- 1) into -1 9.273 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.274 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 9.275 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 9.275 * [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))))) 9.276 * [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))))) 9.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.277 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.278 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.278 * [backup-simplify]: Simplify (- 0) into 0 9.278 * [backup-simplify]: Simplify (+ 0 0) into 0 9.279 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 9.280 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.280 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 9.281 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.281 * [taylor]: Taking taylor expansion of 0 in k 9.281 * [backup-simplify]: Simplify 0 into 0 9.281 * [backup-simplify]: Simplify 0 into 0 9.281 * [backup-simplify]: Simplify 0 into 0 9.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.283 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.284 * [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 9.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.285 * [backup-simplify]: Simplify (- 0) into 0 9.285 * [backup-simplify]: Simplify (+ 0 0) into 0 9.285 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 9.286 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.287 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 9.288 * [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 9.288 * [taylor]: Taking taylor expansion of 0 in k 9.288 * [backup-simplify]: Simplify 0 into 0 9.288 * [backup-simplify]: Simplify 0 into 0 9.288 * [backup-simplify]: Simplify 0 into 0 9.289 * [backup-simplify]: Simplify 0 into 0 9.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.290 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.292 * [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 9.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.293 * [backup-simplify]: Simplify (- 0) into 0 9.293 * [backup-simplify]: Simplify (+ 0 0) into 0 9.294 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 9.295 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.296 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 9.297 * [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 9.297 * [taylor]: Taking taylor expansion of 0 in k 9.297 * [backup-simplify]: Simplify 0 into 0 9.297 * [backup-simplify]: Simplify 0 into 0 9.298 * [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)))) 9.299 * [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))) 9.299 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 9.299 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.299 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 9.299 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 9.299 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.299 * [taylor]: Taking taylor expansion of 0.5 in k 9.299 * [backup-simplify]: Simplify 0.5 into 0.5 9.299 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.299 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.299 * [taylor]: Taking taylor expansion of k in k 9.299 * [backup-simplify]: Simplify 0 into 0 9.299 * [backup-simplify]: Simplify 1 into 1 9.299 * [backup-simplify]: Simplify (/ 1 1) into 1 9.299 * [taylor]: Taking taylor expansion of 1.0 in k 9.299 * [backup-simplify]: Simplify 1.0 into 1.0 9.299 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 9.299 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 9.299 * [taylor]: Taking taylor expansion of -2.0 in k 9.299 * [backup-simplify]: Simplify -2.0 into -2.0 9.299 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.299 * [taylor]: Taking taylor expansion of PI in k 9.299 * [backup-simplify]: Simplify PI into PI 9.299 * [taylor]: Taking taylor expansion of n in k 9.299 * [backup-simplify]: Simplify n into n 9.299 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 9.299 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 9.299 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 9.300 * [backup-simplify]: Simplify (+ 1 0) into 1 9.300 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.300 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 9.300 * [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)))))) 9.300 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 9.300 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 9.300 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 9.300 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 9.300 * [taylor]: Taking taylor expansion of 0.5 in n 9.300 * [backup-simplify]: Simplify 0.5 into 0.5 9.300 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.300 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.300 * [taylor]: Taking taylor expansion of k in n 9.300 * [backup-simplify]: Simplify k into k 9.300 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.300 * [taylor]: Taking taylor expansion of 1.0 in n 9.300 * [backup-simplify]: Simplify 1.0 into 1.0 9.300 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.300 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.301 * [taylor]: Taking taylor expansion of -2.0 in n 9.301 * [backup-simplify]: Simplify -2.0 into -2.0 9.301 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.301 * [taylor]: Taking taylor expansion of PI in n 9.301 * [backup-simplify]: Simplify PI into PI 9.301 * [taylor]: Taking taylor expansion of n in n 9.301 * [backup-simplify]: Simplify 0 into 0 9.301 * [backup-simplify]: Simplify 1 into 1 9.301 * [backup-simplify]: Simplify (/ PI 1) into PI 9.301 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.302 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.302 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.302 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 9.303 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.303 * [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)))) 9.304 * [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))))) 9.304 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 9.304 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 9.304 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 9.304 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 9.304 * [taylor]: Taking taylor expansion of 0.5 in n 9.304 * [backup-simplify]: Simplify 0.5 into 0.5 9.304 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.304 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.304 * [taylor]: Taking taylor expansion of k in n 9.304 * [backup-simplify]: Simplify k into k 9.304 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.304 * [taylor]: Taking taylor expansion of 1.0 in n 9.304 * [backup-simplify]: Simplify 1.0 into 1.0 9.304 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.304 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.304 * [taylor]: Taking taylor expansion of -2.0 in n 9.304 * [backup-simplify]: Simplify -2.0 into -2.0 9.304 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.304 * [taylor]: Taking taylor expansion of PI in n 9.305 * [backup-simplify]: Simplify PI into PI 9.305 * [taylor]: Taking taylor expansion of n in n 9.305 * [backup-simplify]: Simplify 0 into 0 9.305 * [backup-simplify]: Simplify 1 into 1 9.305 * [backup-simplify]: Simplify (/ PI 1) into PI 9.305 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.306 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.306 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.306 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 9.312 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.313 * [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)))) 9.314 * [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))))) 9.314 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 9.314 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 9.314 * [taylor]: Taking taylor expansion of 0.5 in k 9.314 * [backup-simplify]: Simplify 0.5 into 0.5 9.314 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 9.314 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.314 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.314 * [taylor]: Taking taylor expansion of k in k 9.314 * [backup-simplify]: Simplify 0 into 0 9.314 * [backup-simplify]: Simplify 1 into 1 9.314 * [backup-simplify]: Simplify (/ 1 1) into 1 9.314 * [taylor]: Taking taylor expansion of 1.0 in k 9.314 * [backup-simplify]: Simplify 1.0 into 1.0 9.314 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 9.314 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 9.314 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 9.314 * [taylor]: Taking taylor expansion of -2.0 in k 9.314 * [backup-simplify]: Simplify -2.0 into -2.0 9.314 * [taylor]: Taking taylor expansion of PI in k 9.314 * [backup-simplify]: Simplify PI into PI 9.315 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.315 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.315 * [taylor]: Taking taylor expansion of (log n) in k 9.315 * [taylor]: Taking taylor expansion of n in k 9.315 * [backup-simplify]: Simplify n into n 9.315 * [backup-simplify]: Simplify (log n) into (log n) 9.316 * [backup-simplify]: Simplify (+ 1 0) into 1 9.316 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 9.316 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 9.317 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 9.318 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 9.318 * [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))))) 9.319 * [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))))) 9.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.320 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 9.321 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 9.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.321 * [backup-simplify]: Simplify (+ 0 0) into 0 9.322 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 9.322 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.323 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 9.324 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.324 * [taylor]: Taking taylor expansion of 0 in k 9.324 * [backup-simplify]: Simplify 0 into 0 9.324 * [backup-simplify]: Simplify 0 into 0 9.324 * [backup-simplify]: Simplify 0 into 0 9.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.326 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.327 * [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 9.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.328 * [backup-simplify]: Simplify (+ 0 0) into 0 9.328 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 9.329 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.330 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 9.332 * [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 9.332 * [taylor]: Taking taylor expansion of 0 in k 9.332 * [backup-simplify]: Simplify 0 into 0 9.332 * [backup-simplify]: Simplify 0 into 0 9.332 * [backup-simplify]: Simplify 0 into 0 9.332 * [backup-simplify]: Simplify 0 into 0 9.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.333 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.336 * [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 9.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.336 * [backup-simplify]: Simplify (+ 0 0) into 0 9.337 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 9.338 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.339 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 9.341 * [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 9.341 * [taylor]: Taking taylor expansion of 0 in k 9.341 * [backup-simplify]: Simplify 0 into 0 9.341 * [backup-simplify]: Simplify 0 into 0 9.341 * [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)))))) 9.341 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 9.342 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) into (* 1.0 (sqrt (/ 1 k))) 9.342 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 9.342 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.342 * [taylor]: Taking taylor expansion of 1.0 in k 9.342 * [backup-simplify]: Simplify 1.0 into 1.0 9.342 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.342 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.342 * [taylor]: Taking taylor expansion of k in k 9.342 * [backup-simplify]: Simplify 0 into 0 9.342 * [backup-simplify]: Simplify 1 into 1 9.342 * [backup-simplify]: Simplify (/ 1 1) into 1 9.342 * [backup-simplify]: Simplify (sqrt 0) into 0 9.343 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.343 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.343 * [taylor]: Taking taylor expansion of 1.0 in k 9.343 * [backup-simplify]: Simplify 1.0 into 1.0 9.343 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.343 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.343 * [taylor]: Taking taylor expansion of k in k 9.343 * [backup-simplify]: Simplify 0 into 0 9.343 * [backup-simplify]: Simplify 1 into 1 9.344 * [backup-simplify]: Simplify (/ 1 1) into 1 9.344 * [backup-simplify]: Simplify (sqrt 0) into 0 9.345 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.345 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.345 * [backup-simplify]: Simplify 0 into 0 9.346 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 9.346 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.348 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.349 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 9.350 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.352 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.353 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.353 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.354 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 9.354 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt (/ 1 k)))) (sqrt (sqrt (/ 1 k)))) into (* 1.0 (sqrt k)) 9.354 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 9.354 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.355 * [taylor]: Taking taylor expansion of 1.0 in k 9.355 * [backup-simplify]: Simplify 1.0 into 1.0 9.355 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.355 * [taylor]: Taking taylor expansion of k in k 9.355 * [backup-simplify]: Simplify 0 into 0 9.355 * [backup-simplify]: Simplify 1 into 1 9.355 * [backup-simplify]: Simplify (sqrt 0) into 0 9.356 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.356 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.356 * [taylor]: Taking taylor expansion of 1.0 in k 9.356 * [backup-simplify]: Simplify 1.0 into 1.0 9.356 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.356 * [taylor]: Taking taylor expansion of k in k 9.356 * [backup-simplify]: Simplify 0 into 0 9.356 * [backup-simplify]: Simplify 1 into 1 9.356 * [backup-simplify]: Simplify (sqrt 0) into 0 9.357 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.357 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.357 * [backup-simplify]: Simplify 0 into 0 9.358 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 9.358 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.360 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.361 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 9.361 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.364 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.364 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.366 * [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)))))))) 9.366 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt (/ 1 (- k))))) (sqrt (sqrt (/ 1 (- k))))) into (/ 1.0 (sqrt (/ -1 k))) 9.366 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 9.366 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.366 * [taylor]: Taking taylor expansion of 1.0 in k 9.366 * [backup-simplify]: Simplify 1.0 into 1.0 9.366 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.366 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.366 * [taylor]: Taking taylor expansion of -1 in k 9.366 * [backup-simplify]: Simplify -1 into -1 9.366 * [taylor]: Taking taylor expansion of k in k 9.366 * [backup-simplify]: Simplify 0 into 0 9.366 * [backup-simplify]: Simplify 1 into 1 9.366 * [backup-simplify]: Simplify (/ -1 1) into -1 9.367 * [backup-simplify]: Simplify (sqrt 0) into 0 9.367 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.367 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 9.368 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.368 * [taylor]: Taking taylor expansion of 1.0 in k 9.368 * [backup-simplify]: Simplify 1.0 into 1.0 9.368 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.368 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.368 * [taylor]: Taking taylor expansion of -1 in k 9.368 * [backup-simplify]: Simplify -1 into -1 9.368 * [taylor]: Taking taylor expansion of k in k 9.368 * [backup-simplify]: Simplify 0 into 0 9.368 * [backup-simplify]: Simplify 1 into 1 9.368 * [backup-simplify]: Simplify (/ -1 1) into -1 9.368 * [backup-simplify]: Simplify (sqrt 0) into 0 9.369 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.369 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 9.369 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.371 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.373 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.373 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.376 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.378 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.378 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.379 * [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))))) 9.379 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 9.379 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 9.379 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 9.379 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.379 * [taylor]: Taking taylor expansion of 2.0 in n 9.379 * [backup-simplify]: Simplify 2.0 into 2.0 9.379 * [taylor]: Taking taylor expansion of (* n PI) in n 9.379 * [taylor]: Taking taylor expansion of n in n 9.379 * [backup-simplify]: Simplify 0 into 0 9.379 * [backup-simplify]: Simplify 1 into 1 9.379 * [taylor]: Taking taylor expansion of PI in n 9.379 * [backup-simplify]: Simplify PI into PI 9.379 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.379 * [taylor]: Taking taylor expansion of 2.0 in n 9.379 * [backup-simplify]: Simplify 2.0 into 2.0 9.379 * [taylor]: Taking taylor expansion of (* n PI) in n 9.379 * [taylor]: Taking taylor expansion of n in n 9.380 * [backup-simplify]: Simplify 0 into 0 9.380 * [backup-simplify]: Simplify 1 into 1 9.380 * [taylor]: Taking taylor expansion of PI in n 9.380 * [backup-simplify]: Simplify PI into PI 9.380 * [backup-simplify]: Simplify (* 0 PI) into 0 9.380 * [backup-simplify]: Simplify (* 2.0 0) into 0 9.380 * [backup-simplify]: Simplify 0 into 0 9.381 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.382 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 9.382 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.383 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.383 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 9.383 * [backup-simplify]: Simplify 0 into 0 9.384 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.385 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.385 * [backup-simplify]: Simplify 0 into 0 9.385 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.386 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 9.386 * [backup-simplify]: Simplify 0 into 0 9.387 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 9.388 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 9.388 * [backup-simplify]: Simplify 0 into 0 9.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 9.389 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 9.389 * [backup-simplify]: Simplify 0 into 0 9.390 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 9.391 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 9.391 * [backup-simplify]: Simplify 0 into 0 9.392 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 9.392 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 9.392 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 9.392 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.392 * [taylor]: Taking taylor expansion of 2.0 in n 9.392 * [backup-simplify]: Simplify 2.0 into 2.0 9.392 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.392 * [taylor]: Taking taylor expansion of PI in n 9.392 * [backup-simplify]: Simplify PI into PI 9.392 * [taylor]: Taking taylor expansion of n in n 9.392 * [backup-simplify]: Simplify 0 into 0 9.392 * [backup-simplify]: Simplify 1 into 1 9.392 * [backup-simplify]: Simplify (/ PI 1) into PI 9.392 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.392 * [taylor]: Taking taylor expansion of 2.0 in n 9.392 * [backup-simplify]: Simplify 2.0 into 2.0 9.392 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.392 * [taylor]: Taking taylor expansion of PI in n 9.392 * [backup-simplify]: Simplify PI into PI 9.392 * [taylor]: Taking taylor expansion of n in n 9.392 * [backup-simplify]: Simplify 0 into 0 9.392 * [backup-simplify]: Simplify 1 into 1 9.393 * [backup-simplify]: Simplify (/ PI 1) into PI 9.393 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.393 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.395 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.395 * [backup-simplify]: Simplify 0 into 0 9.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.396 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.396 * [backup-simplify]: Simplify 0 into 0 9.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.397 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.397 * [backup-simplify]: Simplify 0 into 0 9.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.398 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.398 * [backup-simplify]: Simplify 0 into 0 9.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.406 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 9.406 * [backup-simplify]: Simplify 0 into 0 9.407 * [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 9.408 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 9.408 * [backup-simplify]: Simplify 0 into 0 9.408 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 9.408 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 9.408 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 9.408 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.409 * [taylor]: Taking taylor expansion of -2.0 in n 9.409 * [backup-simplify]: Simplify -2.0 into -2.0 9.409 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.409 * [taylor]: Taking taylor expansion of PI in n 9.409 * [backup-simplify]: Simplify PI into PI 9.409 * [taylor]: Taking taylor expansion of n in n 9.409 * [backup-simplify]: Simplify 0 into 0 9.409 * [backup-simplify]: Simplify 1 into 1 9.409 * [backup-simplify]: Simplify (/ PI 1) into PI 9.409 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.409 * [taylor]: Taking taylor expansion of -2.0 in n 9.409 * [backup-simplify]: Simplify -2.0 into -2.0 9.409 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.409 * [taylor]: Taking taylor expansion of PI in n 9.409 * [backup-simplify]: Simplify PI into PI 9.409 * [taylor]: Taking taylor expansion of n in n 9.409 * [backup-simplify]: Simplify 0 into 0 9.409 * [backup-simplify]: Simplify 1 into 1 9.409 * [backup-simplify]: Simplify (/ PI 1) into PI 9.410 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.410 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.411 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 9.411 * [backup-simplify]: Simplify 0 into 0 9.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.412 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.412 * [backup-simplify]: Simplify 0 into 0 9.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.413 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.413 * [backup-simplify]: Simplify 0 into 0 9.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.415 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.415 * [backup-simplify]: Simplify 0 into 0 9.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.416 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 9.416 * [backup-simplify]: Simplify 0 into 0 9.417 * [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 9.418 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 9.418 * [backup-simplify]: Simplify 0 into 0 9.418 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 9.418 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 9.418 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt k))) into (* 1.0 (pow (/ 1 k) 1/4)) 9.418 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 9.418 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 9.418 * [taylor]: Taking taylor expansion of 1.0 in k 9.418 * [backup-simplify]: Simplify 1.0 into 1.0 9.418 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 9.418 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 9.418 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 9.418 * [taylor]: Taking taylor expansion of 1/4 in k 9.418 * [backup-simplify]: Simplify 1/4 into 1/4 9.418 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 9.418 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.418 * [taylor]: Taking taylor expansion of k in k 9.418 * [backup-simplify]: Simplify 0 into 0 9.418 * [backup-simplify]: Simplify 1 into 1 9.419 * [backup-simplify]: Simplify (/ 1 1) into 1 9.419 * [backup-simplify]: Simplify (log 1) into 0 9.419 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.419 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 9.419 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 9.419 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 9.419 * [taylor]: Taking taylor expansion of 1.0 in k 9.419 * [backup-simplify]: Simplify 1.0 into 1.0 9.419 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 9.419 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 9.419 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 9.419 * [taylor]: Taking taylor expansion of 1/4 in k 9.419 * [backup-simplify]: Simplify 1/4 into 1/4 9.419 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 9.419 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.419 * [taylor]: Taking taylor expansion of k in k 9.419 * [backup-simplify]: Simplify 0 into 0 9.419 * [backup-simplify]: Simplify 1 into 1 9.420 * [backup-simplify]: Simplify (/ 1 1) into 1 9.420 * [backup-simplify]: Simplify (log 1) into 0 9.420 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.420 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 9.420 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 9.420 * [backup-simplify]: Simplify (* 1.0 (pow k -1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 9.421 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 9.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.422 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.422 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.422 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 9.423 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 9.423 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k -1/4))) into 0 9.423 * [backup-simplify]: Simplify 0 into 0 9.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.425 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.425 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.426 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 9.426 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.427 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k -1/4)))) into 0 9.427 * [backup-simplify]: Simplify 0 into 0 9.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.430 * [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 9.430 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.431 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 9.432 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.433 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))) into 0 9.433 * [backup-simplify]: Simplify 0 into 0 9.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.438 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 9.439 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.440 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 9.441 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.442 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))) into 0 9.442 * [backup-simplify]: Simplify 0 into 0 9.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.451 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 9.452 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.453 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 9.455 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.456 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))))) into 0 9.456 * [backup-simplify]: Simplify 0 into 0 9.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.472 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 9.472 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 9.473 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 9.476 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.478 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))))) into 0 9.478 * [backup-simplify]: Simplify 0 into 0 9.478 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 9.478 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 k)))) into (* 1.0 (pow k 1/4)) 9.478 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 9.478 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 9.478 * [taylor]: Taking taylor expansion of 1.0 in k 9.478 * [backup-simplify]: Simplify 1.0 into 1.0 9.478 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 9.478 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 9.478 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 9.478 * [taylor]: Taking taylor expansion of 1/4 in k 9.478 * [backup-simplify]: Simplify 1/4 into 1/4 9.478 * [taylor]: Taking taylor expansion of (log k) in k 9.478 * [taylor]: Taking taylor expansion of k in k 9.478 * [backup-simplify]: Simplify 0 into 0 9.478 * [backup-simplify]: Simplify 1 into 1 9.479 * [backup-simplify]: Simplify (log 1) into 0 9.479 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 9.479 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 9.479 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 9.479 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 9.479 * [taylor]: Taking taylor expansion of 1.0 in k 9.479 * [backup-simplify]: Simplify 1.0 into 1.0 9.479 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 9.479 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 9.479 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 9.479 * [taylor]: Taking taylor expansion of 1/4 in k 9.479 * [backup-simplify]: Simplify 1/4 into 1/4 9.479 * [taylor]: Taking taylor expansion of (log k) in k 9.479 * [taylor]: Taking taylor expansion of k in k 9.479 * [backup-simplify]: Simplify 0 into 0 9.479 * [backup-simplify]: Simplify 1 into 1 9.479 * [backup-simplify]: Simplify (log 1) into 0 9.480 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 9.480 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 9.480 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 9.480 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 9.480 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 9.481 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.481 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 9.481 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 9.482 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 9.482 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k 1/4))) into 0 9.482 * [backup-simplify]: Simplify 0 into 0 9.484 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.484 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 9.484 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 9.485 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.486 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 9.486 * [backup-simplify]: Simplify 0 into 0 9.495 * [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 9.495 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 9.496 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 9.497 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.498 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))) into 0 9.498 * [backup-simplify]: Simplify 0 into 0 9.503 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 9.503 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 9.504 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 9.506 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.507 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))) into 0 9.507 * [backup-simplify]: Simplify 0 into 0 9.515 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 9.515 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 9.516 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 9.518 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.520 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))))) into 0 9.520 * [backup-simplify]: Simplify 0 into 0 9.534 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 9.534 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 9.536 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 9.539 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.540 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))))) into 0 9.540 * [backup-simplify]: Simplify 0 into 0 9.540 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 9.541 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 (- k))))) into (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) 9.541 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 9.541 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 9.541 * [taylor]: Taking taylor expansion of 1.0 in k 9.541 * [backup-simplify]: Simplify 1.0 into 1.0 9.541 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 9.541 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 9.541 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.541 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.541 * [taylor]: Taking taylor expansion of -1 in k 9.541 * [backup-simplify]: Simplify -1 into -1 9.541 * [taylor]: Taking taylor expansion of k in k 9.541 * [backup-simplify]: Simplify 0 into 0 9.541 * [backup-simplify]: Simplify 1 into 1 9.541 * [backup-simplify]: Simplify (/ -1 1) into -1 9.541 * [backup-simplify]: Simplify (sqrt 0) into 0 9.542 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.542 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.543 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 9.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.545 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.546 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.547 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 9.547 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 9.547 * [taylor]: Taking taylor expansion of 1.0 in k 9.547 * [backup-simplify]: Simplify 1.0 into 1.0 9.547 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 9.547 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 9.547 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.547 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.547 * [taylor]: Taking taylor expansion of -1 in k 9.547 * [backup-simplify]: Simplify -1 into -1 9.547 * [taylor]: Taking taylor expansion of k in k 9.547 * [backup-simplify]: Simplify 0 into 0 9.547 * [backup-simplify]: Simplify 1 into 1 9.548 * [backup-simplify]: Simplify (/ -1 1) into -1 9.548 * [backup-simplify]: Simplify (sqrt 0) into 0 9.549 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.549 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.549 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 9.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.551 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.552 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.553 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 9.554 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 9.554 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 9.556 * [backup-simplify]: Simplify (+ (* 1.0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 9.557 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 9.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.560 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.562 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.565 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 9.578 * [backup-simplify]: Simplify (+ (* 1.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) 9.582 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) 9.589 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (sqrt +nan.0)))) (/ 1 (- k))) (* 1.0 (sqrt +nan.0)))) into (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) 9.589 * * * [progress]: simplifying candidates 9.597 * [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))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (- (log 1.0) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (log (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (exp (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (- (/ 1.0 (sqrt (sqrt k)))) (- (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt 1)) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) 1) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt 1)) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) 1) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) 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(* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +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))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) 9.610 * * [simplify]: Extracting # 0 : cost 0 9.610 * * [simplify]: Extracting # 1 : cost 0 9.611 * * [simplify]: Extracting # 2 : cost 0 9.612 * * [simplify]: Extracting # 3 : cost 0 9.613 * * [simplify]: Extracting # 4 : cost 0 9.614 * * [simplify]: Extracting # 5 : cost 0 9.616 * * [simplify]: Extracting # 6 : cost 0 9.617 * * [simplify]: Extracting # 7 : cost 0 9.618 * * [simplify]: Extracting # 8 : cost 0 9.619 * * [simplify]: Extracting # 9 : cost 0 9.620 * * [simplify]: Extracting # 10 : cost 0 9.621 * * [simplify]: Extracting # 11 : cost 0 9.622 * * [simplify]: Extracting # 12 : cost 0 9.623 * * [simplify]: Extracting # 13 : cost 0 9.624 * * [simplify]: iteration 0 : 558 enodes (cost 8953 ) 9.820 * * [simplify]: Extracting # 0 : cost 0 9.822 * * [simplify]: Extracting # 1 : cost 0 9.824 * * [simplify]: Extracting # 2 : cost 0 9.826 * * [simplify]: Extracting # 3 : cost 0 9.828 * * [simplify]: Extracting # 4 : cost 0 9.829 * * [simplify]: iteration 1 : 1320 enodes (cost 7629 ) 10.202 * * [simplify]: Extracting # 0 : cost 0 10.206 * * [simplify]: Extracting # 1 : cost 0 10.210 * * [simplify]: Extracting # 2 : cost 0 10.213 * * [simplify]: Extracting # 3 : cost 0 10.217 * * [simplify]: Extracting # 4 : cost 0 10.221 * * [simplify]: Extracting # 5 : cost 0 10.224 * * [simplify]: iteration 2 : 3056 enodes (cost 7058 ) 10.941 * * [simplify]: Extracting # 0 : cost 0 10.947 * * [simplify]: Extracting # 1 : cost 0 10.953 * * [simplify]: Extracting # 2 : cost 0 10.959 * * [simplify]: Extracting # 3 : cost 0 10.964 * * [simplify]: Extracting # 4 : cost 0 10.970 * * [simplify]: iteration done: 5001 enodes (cost 6884 ) 10.973 * [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) 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1.0) (/ (sqrt k) 1.0) (/ (pow (sqrt (sqrt (sqrt k))) 3) 1.0) (/ (sqrt k) 1.0) (/ (pow (sqrt (sqrt (sqrt k))) 3) 1.0) (/ (sqrt k) 1.0) (/ (sqrt k) 1.0) (sqrt k) (sqrt k) (* (* PI n) 2.0) (* (* PI n) 2.0) (log (* n (* 2.0 PI))) (log (* n (* 2.0 PI))) (log (* n (* 2.0 PI))) (exp (* (* 2.0 PI) n)) (pow (* n (* 2.0 PI)) 3) (pow (* n (* 2.0 PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* n (* 2.0 PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ 1.0 (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k)))) (exp (/ 1.0 (sqrt (sqrt k)))) (pow (/ 1.0 (sqrt (sqrt k))) 3) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (cbrt (/ 1.0 (sqrt (sqrt k)))) (pow (/ 1.0 (sqrt (sqrt k))) 3) (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (- 1.0) (- (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) 1.0) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1.0 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ (sqrt (sqrt k)) (cbrt 1.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) 1.0) (- (+ (+ (pow (* n (* 2.0 PI)) 0.5) (* (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* n (* 2.0 PI)) 0.5) (log n)))) (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* n (* 2.0 PI)) 0.5)) (* (pow (log n) 2) (pow (* n (* 2.0 PI)) 0.5))))) (* 0.5 (* k (+ (* (pow (* n (* 2.0 PI)) 0.5) (log (* 2.0 PI))) (* (pow (* n (* 2.0 PI)) 0.5) (log n)))))) (pow (pow (* n (* 2.0 PI)) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (- (* +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))) (* (* PI n) 2.0) (* (* PI n) 2.0) (* (* PI n) 2.0) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (* 1.0 (sqrt +nan.0)) (+ (- (/ +nan.0 (* (sqrt +nan.0) (pow k 2))) (/ +nan.0 (* (sqrt +nan.0) k))) (/ +nan.0 (* (pow (sqrt +nan.0) 3) (pow k 2))))) 10.978 * * * [progress]: adding candidates to table 11.891 * [progress]: [Phase 3 of 3] Extracting. 11.892 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 11.895 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 11.895 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 11.946 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 11.995 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 12.043 * * * [regime]: Found split indices: #