0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.246 * * * [progress]: [2/2] Setting up program. 0.252 * [progress]: [Phase 2 of 3] Improving. 0.253 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.253 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 0.253 * * [simplify]: iters left: 6 (13 enodes) 0.261 * * [simplify]: iters left: 5 (57 enodes) 0.304 * * [simplify]: iters left: 4 (96 enodes) 0.323 * * [simplify]: iters left: 3 (172 enodes) 0.364 * * [simplify]: iters left: 2 (338 enodes) 0.529 * * [simplify]: Extracting #0: cost 1 inf + 0 0.529 * * [simplify]: Extracting #1: cost 41 inf + 0 0.530 * * [simplify]: Extracting #2: cost 120 inf + 1 0.531 * * [simplify]: Extracting #3: cost 166 inf + 127 0.532 * * [simplify]: Extracting #4: cost 166 inf + 467 0.536 * * [simplify]: Extracting #5: cost 119 inf + 9856 0.548 * * [simplify]: Extracting #6: cost 46 inf + 40838 0.571 * * [simplify]: Extracting #7: cost 4 inf + 73302 0.595 * * [simplify]: Extracting #8: cost 0 inf + 76897 0.620 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 0.620 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 0.629 * * [progress]: iteration 1 / 4 0.630 * * * [progress]: picking best candidate 0.639 * * * * [pick]: Picked # 0.639 * * * [progress]: localizing error 0.661 * * * [progress]: generating rewritten candidates 0.661 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.679 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.705 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.726 * * * [progress]: generating series expansions 0.726 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.727 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 0.727 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.727 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.727 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.727 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.727 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.727 * [taylor]: Taking taylor expansion of 1/2 in k 0.727 * [backup-simplify]: Simplify 1/2 into 1/2 0.727 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.727 * [taylor]: Taking taylor expansion of 1 in k 0.727 * [backup-simplify]: Simplify 1 into 1 0.727 * [taylor]: Taking taylor expansion of k in k 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 1 into 1 0.727 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.727 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.727 * [taylor]: Taking taylor expansion of 2 in k 0.727 * [backup-simplify]: Simplify 2 into 2 0.727 * [taylor]: Taking taylor expansion of (* n PI) in k 0.727 * [taylor]: Taking taylor expansion of n in k 0.727 * [backup-simplify]: Simplify n into n 0.727 * [taylor]: Taking taylor expansion of PI in k 0.727 * [backup-simplify]: Simplify PI into PI 0.727 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.727 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.727 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.728 * [backup-simplify]: Simplify (- 0) into 0 0.728 * [backup-simplify]: Simplify (+ 1 0) into 1 0.728 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.728 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.728 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.728 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.728 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.728 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.728 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.728 * [taylor]: Taking taylor expansion of 1/2 in n 0.729 * [backup-simplify]: Simplify 1/2 into 1/2 0.729 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.729 * [taylor]: Taking taylor expansion of 1 in n 0.729 * [backup-simplify]: Simplify 1 into 1 0.729 * [taylor]: Taking taylor expansion of k in n 0.729 * [backup-simplify]: Simplify k into k 0.729 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.729 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.729 * [taylor]: Taking taylor expansion of 2 in n 0.729 * [backup-simplify]: Simplify 2 into 2 0.729 * [taylor]: Taking taylor expansion of (* n PI) in n 0.729 * [taylor]: Taking taylor expansion of n in n 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 1 into 1 0.729 * [taylor]: Taking taylor expansion of PI in n 0.729 * [backup-simplify]: Simplify PI into PI 0.729 * [backup-simplify]: Simplify (* 0 PI) into 0 0.729 * [backup-simplify]: Simplify (* 2 0) into 0 0.730 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.731 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.732 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.732 * [backup-simplify]: Simplify (- k) into (- k) 0.732 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.732 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.733 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.734 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.734 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.734 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.734 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.734 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.734 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.734 * [taylor]: Taking taylor expansion of 1/2 in n 0.734 * [backup-simplify]: Simplify 1/2 into 1/2 0.734 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.734 * [taylor]: Taking taylor expansion of 1 in n 0.734 * [backup-simplify]: Simplify 1 into 1 0.735 * [taylor]: Taking taylor expansion of k in n 0.735 * [backup-simplify]: Simplify k into k 0.735 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.735 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.735 * [taylor]: Taking taylor expansion of 2 in n 0.735 * [backup-simplify]: Simplify 2 into 2 0.735 * [taylor]: Taking taylor expansion of (* n PI) in n 0.735 * [taylor]: Taking taylor expansion of n in n 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.735 * [taylor]: Taking taylor expansion of PI in n 0.735 * [backup-simplify]: Simplify PI into PI 0.735 * [backup-simplify]: Simplify (* 0 PI) into 0 0.735 * [backup-simplify]: Simplify (* 2 0) into 0 0.736 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.737 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.738 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.738 * [backup-simplify]: Simplify (- k) into (- k) 0.738 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.738 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.739 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.739 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.740 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.740 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.740 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.740 * [taylor]: Taking taylor expansion of 1/2 in k 0.740 * [backup-simplify]: Simplify 1/2 into 1/2 0.740 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.740 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.740 * [taylor]: Taking taylor expansion of 1 in k 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [taylor]: Taking taylor expansion of k in k 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.740 * [taylor]: Taking taylor expansion of (log n) in k 0.740 * [taylor]: Taking taylor expansion of n in k 0.740 * [backup-simplify]: Simplify n into n 0.741 * [backup-simplify]: Simplify (log n) into (log n) 0.741 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.741 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.741 * [taylor]: Taking taylor expansion of 2 in k 0.741 * [backup-simplify]: Simplify 2 into 2 0.741 * [taylor]: Taking taylor expansion of PI in k 0.741 * [backup-simplify]: Simplify PI into PI 0.741 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.741 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.742 * [backup-simplify]: Simplify (- 0) into 0 0.742 * [backup-simplify]: Simplify (+ 1 0) into 1 0.743 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.743 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.744 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.744 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.745 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.746 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.747 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.749 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.749 * [backup-simplify]: Simplify (- 0) into 0 0.750 * [backup-simplify]: Simplify (+ 0 0) into 0 0.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.752 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.753 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.755 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.755 * [taylor]: Taking taylor expansion of 0 in k 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.757 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.759 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.759 * [backup-simplify]: Simplify (+ 0 0) into 0 0.759 * [backup-simplify]: Simplify (- 1) into -1 0.760 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.761 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.764 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 0.767 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.770 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.772 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.773 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.776 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 0.776 * [backup-simplify]: Simplify (- 0) into 0 0.776 * [backup-simplify]: Simplify (+ 0 0) into 0 0.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.778 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.779 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.780 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.780 * [taylor]: Taking taylor expansion of 0 in k 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.782 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.784 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 0.784 * [backup-simplify]: Simplify (+ 0 0) into 0 0.784 * [backup-simplify]: Simplify (- 0) into 0 0.784 * [backup-simplify]: Simplify (+ 0 0) into 0 0.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.789 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0.792 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0.798 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 0.798 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 0.798 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.799 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.799 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.799 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.799 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.799 * [taylor]: Taking taylor expansion of 1/2 in k 0.799 * [backup-simplify]: Simplify 1/2 into 1/2 0.799 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.799 * [taylor]: Taking taylor expansion of 1 in k 0.799 * [backup-simplify]: Simplify 1 into 1 0.799 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.799 * [taylor]: Taking taylor expansion of k in k 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify 1 into 1 0.799 * [backup-simplify]: Simplify (/ 1 1) into 1 0.799 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.799 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.799 * [taylor]: Taking taylor expansion of 2 in k 0.799 * [backup-simplify]: Simplify 2 into 2 0.799 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.799 * [taylor]: Taking taylor expansion of PI in k 0.799 * [backup-simplify]: Simplify PI into PI 0.799 * [taylor]: Taking taylor expansion of n in k 0.799 * [backup-simplify]: Simplify n into n 0.799 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.799 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 0.799 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 0.799 * [backup-simplify]: Simplify (- 1) into -1 0.800 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.800 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 0.800 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 0.800 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0.800 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.800 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.800 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.800 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.800 * [taylor]: Taking taylor expansion of 1/2 in n 0.800 * [backup-simplify]: Simplify 1/2 into 1/2 0.800 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.800 * [taylor]: Taking taylor expansion of 1 in n 0.800 * [backup-simplify]: Simplify 1 into 1 0.800 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.800 * [taylor]: Taking taylor expansion of k in n 0.801 * [backup-simplify]: Simplify k into k 0.801 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.801 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.801 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.801 * [taylor]: Taking taylor expansion of 2 in n 0.801 * [backup-simplify]: Simplify 2 into 2 0.801 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.801 * [taylor]: Taking taylor expansion of PI in n 0.801 * [backup-simplify]: Simplify PI into PI 0.801 * [taylor]: Taking taylor expansion of n in n 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 1 into 1 0.801 * [backup-simplify]: Simplify (/ PI 1) into PI 0.801 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.802 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.802 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.802 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.802 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.803 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.804 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.804 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0.805 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.805 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.805 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.805 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.805 * [taylor]: Taking taylor expansion of 1/2 in n 0.805 * [backup-simplify]: Simplify 1/2 into 1/2 0.805 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.805 * [taylor]: Taking taylor expansion of 1 in n 0.805 * [backup-simplify]: Simplify 1 into 1 0.805 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.805 * [taylor]: Taking taylor expansion of k in n 0.805 * [backup-simplify]: Simplify k into k 0.805 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.805 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.805 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.805 * [taylor]: Taking taylor expansion of 2 in n 0.805 * [backup-simplify]: Simplify 2 into 2 0.805 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.805 * [taylor]: Taking taylor expansion of PI in n 0.805 * [backup-simplify]: Simplify PI into PI 0.805 * [taylor]: Taking taylor expansion of n in n 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 1 into 1 0.805 * [backup-simplify]: Simplify (/ PI 1) into PI 0.806 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.806 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.806 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.806 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.806 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.808 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.809 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.810 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0.810 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.810 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.810 * [taylor]: Taking taylor expansion of 1/2 in k 0.810 * [backup-simplify]: Simplify 1/2 into 1/2 0.810 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.810 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.810 * [taylor]: Taking taylor expansion of 1 in k 0.810 * [backup-simplify]: Simplify 1 into 1 0.810 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.810 * [taylor]: Taking taylor expansion of k in k 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 1 into 1 0.811 * [backup-simplify]: Simplify (/ 1 1) into 1 0.811 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.811 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.811 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.811 * [taylor]: Taking taylor expansion of 2 in k 0.811 * [backup-simplify]: Simplify 2 into 2 0.811 * [taylor]: Taking taylor expansion of PI in k 0.811 * [backup-simplify]: Simplify PI into PI 0.811 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.813 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.813 * [taylor]: Taking taylor expansion of (log n) in k 0.813 * [taylor]: Taking taylor expansion of n in k 0.813 * [backup-simplify]: Simplify n into n 0.813 * [backup-simplify]: Simplify (log n) into (log n) 0.813 * [backup-simplify]: Simplify (- 1) into -1 0.814 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.814 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.815 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 0.816 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 0.817 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 0.818 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0.819 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.821 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.823 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.823 * [backup-simplify]: Simplify (- 0) into 0 0.824 * [backup-simplify]: Simplify (+ 0 0) into 0 0.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 0.825 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.826 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 0.828 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.828 * [taylor]: Taking taylor expansion of 0 in k 0.828 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.831 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.838 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 0.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.838 * [backup-simplify]: Simplify (- 0) into 0 0.839 * [backup-simplify]: Simplify (+ 0 0) into 0 0.840 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 0.841 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.843 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 0.845 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.845 * [taylor]: Taking taylor expansion of 0 in k 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.848 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.852 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 0.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.853 * [backup-simplify]: Simplify (- 0) into 0 0.853 * [backup-simplify]: Simplify (+ 0 0) into 0 0.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 0.854 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.855 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 0.857 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.857 * [taylor]: Taking taylor expansion of 0 in k 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 0.858 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 0.858 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.858 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.858 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.858 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.858 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.858 * [taylor]: Taking taylor expansion of 1/2 in k 0.858 * [backup-simplify]: Simplify 1/2 into 1/2 0.858 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.858 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.858 * [taylor]: Taking taylor expansion of k in k 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 1 into 1 0.859 * [backup-simplify]: Simplify (/ 1 1) into 1 0.859 * [taylor]: Taking taylor expansion of 1 in k 0.859 * [backup-simplify]: Simplify 1 into 1 0.859 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.859 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.859 * [taylor]: Taking taylor expansion of -2 in k 0.859 * [backup-simplify]: Simplify -2 into -2 0.859 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.859 * [taylor]: Taking taylor expansion of PI in k 0.859 * [backup-simplify]: Simplify PI into PI 0.859 * [taylor]: Taking taylor expansion of n in k 0.859 * [backup-simplify]: Simplify n into n 0.859 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.859 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 0.859 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 0.859 * [backup-simplify]: Simplify (+ 1 0) into 1 0.859 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.860 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 0.860 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 0.860 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.860 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.860 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.860 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.860 * [taylor]: Taking taylor expansion of 1/2 in n 0.860 * [backup-simplify]: Simplify 1/2 into 1/2 0.860 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.860 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.860 * [taylor]: Taking taylor expansion of k in n 0.860 * [backup-simplify]: Simplify k into k 0.860 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.860 * [taylor]: Taking taylor expansion of 1 in n 0.860 * [backup-simplify]: Simplify 1 into 1 0.860 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.860 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.860 * [taylor]: Taking taylor expansion of -2 in n 0.860 * [backup-simplify]: Simplify -2 into -2 0.860 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.860 * [taylor]: Taking taylor expansion of PI in n 0.860 * [backup-simplify]: Simplify PI into PI 0.860 * [taylor]: Taking taylor expansion of n in n 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 1 into 1 0.860 * [backup-simplify]: Simplify (/ PI 1) into PI 0.861 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.861 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.861 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.861 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.862 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.863 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.864 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0.864 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.864 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.864 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.864 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.864 * [taylor]: Taking taylor expansion of 1/2 in n 0.864 * [backup-simplify]: Simplify 1/2 into 1/2 0.864 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.864 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.864 * [taylor]: Taking taylor expansion of k in n 0.864 * [backup-simplify]: Simplify k into k 0.864 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.864 * [taylor]: Taking taylor expansion of 1 in n 0.864 * [backup-simplify]: Simplify 1 into 1 0.864 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.864 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.864 * [taylor]: Taking taylor expansion of -2 in n 0.864 * [backup-simplify]: Simplify -2 into -2 0.864 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.864 * [taylor]: Taking taylor expansion of PI in n 0.864 * [backup-simplify]: Simplify PI into PI 0.864 * [taylor]: Taking taylor expansion of n in n 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 1 into 1 0.864 * [backup-simplify]: Simplify (/ PI 1) into PI 0.865 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.865 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.865 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.865 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.867 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.867 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.868 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0.868 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.868 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.868 * [taylor]: Taking taylor expansion of 1/2 in k 0.868 * [backup-simplify]: Simplify 1/2 into 1/2 0.868 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.868 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.868 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.868 * [taylor]: Taking taylor expansion of k in k 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 1 into 1 0.868 * [backup-simplify]: Simplify (/ 1 1) into 1 0.868 * [taylor]: Taking taylor expansion of 1 in k 0.868 * [backup-simplify]: Simplify 1 into 1 0.868 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.868 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.868 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.868 * [taylor]: Taking taylor expansion of -2 in k 0.869 * [backup-simplify]: Simplify -2 into -2 0.869 * [taylor]: Taking taylor expansion of PI in k 0.869 * [backup-simplify]: Simplify PI into PI 0.869 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.869 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.869 * [taylor]: Taking taylor expansion of (log n) in k 0.869 * [taylor]: Taking taylor expansion of n in k 0.870 * [backup-simplify]: Simplify n into n 0.870 * [backup-simplify]: Simplify (log n) into (log n) 0.870 * [backup-simplify]: Simplify (+ 1 0) into 1 0.870 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.870 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 0.871 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 0.872 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 0.872 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0.873 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.874 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.875 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 0.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.876 * [backup-simplify]: Simplify (+ 0 0) into 0 0.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 0.877 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.878 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 0.879 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.879 * [taylor]: Taking taylor expansion of 0 in k 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.881 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.885 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 0.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.886 * [backup-simplify]: Simplify (+ 0 0) into 0 0.887 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 0.888 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.889 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 0.892 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.892 * [taylor]: Taking taylor expansion of 0 in k 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.894 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.900 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 0.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.901 * [backup-simplify]: Simplify (+ 0 0) into 0 0.902 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 0.903 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.905 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 0.908 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.908 * [taylor]: Taking taylor expansion of 0 in k 0.908 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 0.910 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.910 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 0.910 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.910 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.910 * [taylor]: Taking taylor expansion of 2 in n 0.910 * [backup-simplify]: Simplify 2 into 2 0.910 * [taylor]: Taking taylor expansion of (* n PI) in n 0.910 * [taylor]: Taking taylor expansion of n in n 0.911 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify 1 into 1 0.911 * [taylor]: Taking taylor expansion of PI in n 0.911 * [backup-simplify]: Simplify PI into PI 0.911 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.911 * [taylor]: Taking taylor expansion of 2 in n 0.911 * [backup-simplify]: Simplify 2 into 2 0.911 * [taylor]: Taking taylor expansion of (* n PI) in n 0.911 * [taylor]: Taking taylor expansion of n in n 0.911 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify 1 into 1 0.911 * [taylor]: Taking taylor expansion of PI in n 0.911 * [backup-simplify]: Simplify PI into PI 0.911 * [backup-simplify]: Simplify (* 0 PI) into 0 0.912 * [backup-simplify]: Simplify (* 2 0) into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.915 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.915 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.916 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.917 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.917 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.920 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.922 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.925 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.925 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.929 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.929 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.932 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 0.934 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 0.934 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.934 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.934 * [taylor]: Taking taylor expansion of 2 in n 0.934 * [backup-simplify]: Simplify 2 into 2 0.934 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.934 * [taylor]: Taking taylor expansion of PI in n 0.934 * [backup-simplify]: Simplify PI into PI 0.934 * [taylor]: Taking taylor expansion of n in n 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 1 into 1 0.934 * [backup-simplify]: Simplify (/ PI 1) into PI 0.934 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.934 * [taylor]: Taking taylor expansion of 2 in n 0.934 * [backup-simplify]: Simplify 2 into 2 0.934 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.934 * [taylor]: Taking taylor expansion of PI in n 0.934 * [backup-simplify]: Simplify PI into PI 0.934 * [taylor]: Taking taylor expansion of n in n 0.934 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 1 into 1 0.935 * [backup-simplify]: Simplify (/ PI 1) into PI 0.935 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.936 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.938 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.938 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.940 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.940 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.942 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.942 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.944 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.945 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.945 * [backup-simplify]: Simplify 0 into 0 0.946 * [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 0.947 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 0.947 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 0.947 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.947 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.947 * [taylor]: Taking taylor expansion of -2 in n 0.947 * [backup-simplify]: Simplify -2 into -2 0.947 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.947 * [taylor]: Taking taylor expansion of PI in n 0.947 * [backup-simplify]: Simplify PI into PI 0.947 * [taylor]: Taking taylor expansion of n in n 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify 1 into 1 0.948 * [backup-simplify]: Simplify (/ PI 1) into PI 0.948 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.948 * [taylor]: Taking taylor expansion of -2 in n 0.948 * [backup-simplify]: Simplify -2 into -2 0.948 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.948 * [taylor]: Taking taylor expansion of PI in n 0.948 * [backup-simplify]: Simplify PI into PI 0.948 * [taylor]: Taking taylor expansion of n in n 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 1 into 1 0.948 * [backup-simplify]: Simplify (/ PI 1) into PI 0.948 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.949 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.950 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.951 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.951 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.952 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.952 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.954 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.955 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.955 * [backup-simplify]: Simplify 0 into 0 0.957 * [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 0.958 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 0.959 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.959 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 0.959 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 0.959 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.959 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.959 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.959 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.959 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.959 * [taylor]: Taking taylor expansion of 1/2 in k 0.959 * [backup-simplify]: Simplify 1/2 into 1/2 0.959 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.959 * [taylor]: Taking taylor expansion of 1 in k 0.960 * [backup-simplify]: Simplify 1 into 1 0.960 * [taylor]: Taking taylor expansion of k in k 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 1 into 1 0.960 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.960 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.960 * [taylor]: Taking taylor expansion of 2 in k 0.960 * [backup-simplify]: Simplify 2 into 2 0.960 * [taylor]: Taking taylor expansion of (* n PI) in k 0.960 * [taylor]: Taking taylor expansion of n in k 0.960 * [backup-simplify]: Simplify n into n 0.960 * [taylor]: Taking taylor expansion of PI in k 0.960 * [backup-simplify]: Simplify PI into PI 0.960 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.960 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.960 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.960 * [backup-simplify]: Simplify (- 0) into 0 0.960 * [backup-simplify]: Simplify (+ 1 0) into 1 0.961 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.961 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.961 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.961 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.961 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.961 * [taylor]: Taking taylor expansion of k in k 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 1 into 1 0.961 * [backup-simplify]: Simplify (/ 1 1) into 1 0.961 * [backup-simplify]: Simplify (sqrt 0) into 0 0.962 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.962 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.962 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.963 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.963 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.963 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.963 * [taylor]: Taking taylor expansion of 1/2 in n 0.963 * [backup-simplify]: Simplify 1/2 into 1/2 0.963 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.963 * [taylor]: Taking taylor expansion of 1 in n 0.963 * [backup-simplify]: Simplify 1 into 1 0.963 * [taylor]: Taking taylor expansion of k in n 0.963 * [backup-simplify]: Simplify k into k 0.963 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.963 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.963 * [taylor]: Taking taylor expansion of 2 in n 0.963 * [backup-simplify]: Simplify 2 into 2 0.963 * [taylor]: Taking taylor expansion of (* n PI) in n 0.963 * [taylor]: Taking taylor expansion of n in n 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 1 into 1 0.963 * [taylor]: Taking taylor expansion of PI in n 0.963 * [backup-simplify]: Simplify PI into PI 0.963 * [backup-simplify]: Simplify (* 0 PI) into 0 0.963 * [backup-simplify]: Simplify (* 2 0) into 0 0.964 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.965 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.966 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.966 * [backup-simplify]: Simplify (- k) into (- k) 0.966 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.966 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.967 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.967 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.968 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.968 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.968 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.968 * [taylor]: Taking taylor expansion of k in n 0.968 * [backup-simplify]: Simplify k into k 0.968 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.968 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.968 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.968 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.968 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.968 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.968 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.968 * [taylor]: Taking taylor expansion of 1/2 in n 0.968 * [backup-simplify]: Simplify 1/2 into 1/2 0.968 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.968 * [taylor]: Taking taylor expansion of 1 in n 0.968 * [backup-simplify]: Simplify 1 into 1 0.968 * [taylor]: Taking taylor expansion of k in n 0.968 * [backup-simplify]: Simplify k into k 0.968 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.968 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.968 * [taylor]: Taking taylor expansion of 2 in n 0.968 * [backup-simplify]: Simplify 2 into 2 0.968 * [taylor]: Taking taylor expansion of (* n PI) in n 0.968 * [taylor]: Taking taylor expansion of n in n 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 1 into 1 0.969 * [taylor]: Taking taylor expansion of PI in n 0.969 * [backup-simplify]: Simplify PI into PI 0.969 * [backup-simplify]: Simplify (* 0 PI) into 0 0.969 * [backup-simplify]: Simplify (* 2 0) into 0 0.970 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.971 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.972 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.972 * [backup-simplify]: Simplify (- k) into (- k) 0.972 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.972 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.974 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.975 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.976 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.976 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.976 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.976 * [taylor]: Taking taylor expansion of k in n 0.976 * [backup-simplify]: Simplify k into k 0.976 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.976 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.978 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) 0.978 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 0.978 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.978 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.978 * [taylor]: Taking taylor expansion of 1/2 in k 0.978 * [backup-simplify]: Simplify 1/2 into 1/2 0.978 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.978 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.978 * [taylor]: Taking taylor expansion of 1 in k 0.978 * [backup-simplify]: Simplify 1 into 1 0.978 * [taylor]: Taking taylor expansion of k in k 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify 1 into 1 0.978 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.978 * [taylor]: Taking taylor expansion of (log n) in k 0.978 * [taylor]: Taking taylor expansion of n in k 0.978 * [backup-simplify]: Simplify n into n 0.978 * [backup-simplify]: Simplify (log n) into (log n) 0.978 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.978 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.978 * [taylor]: Taking taylor expansion of 2 in k 0.978 * [backup-simplify]: Simplify 2 into 2 0.978 * [taylor]: Taking taylor expansion of PI in k 0.978 * [backup-simplify]: Simplify PI into PI 0.979 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.980 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.980 * [backup-simplify]: Simplify (- 0) into 0 0.980 * [backup-simplify]: Simplify (+ 1 0) into 1 0.981 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.983 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.984 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.985 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.985 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.985 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.985 * [taylor]: Taking taylor expansion of k in k 0.985 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify 1 into 1 0.985 * [backup-simplify]: Simplify (/ 1 1) into 1 0.986 * [backup-simplify]: Simplify (sqrt 0) into 0 0.987 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.988 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 0.988 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.990 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.992 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.992 * [backup-simplify]: Simplify (- 0) into 0 0.993 * [backup-simplify]: Simplify (+ 0 0) into 0 0.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.995 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.996 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.998 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.999 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 0.999 * [taylor]: Taking taylor expansion of 0 in k 0.999 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1.000 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.002 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.003 * [backup-simplify]: Simplify (+ 0 0) into 0 1.003 * [backup-simplify]: Simplify (- 1) into -1 1.003 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.005 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 1.007 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1.009 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1.012 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1.012 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.013 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1.014 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.015 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.016 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1.017 * [backup-simplify]: Simplify (- 0) into 0 1.017 * [backup-simplify]: Simplify (+ 0 0) into 0 1.017 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 1.018 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.019 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.020 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.021 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1.021 * [taylor]: Taking taylor expansion of 0 in k 1.021 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.024 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.025 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.025 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.027 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1.028 * [backup-simplify]: Simplify (+ 0 0) into 0 1.028 * [backup-simplify]: Simplify (- 0) into 0 1.028 * [backup-simplify]: Simplify (+ 0 0) into 0 1.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.031 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.033 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 1.041 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 1.045 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 1.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.047 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.049 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.055 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1.056 * [backup-simplify]: Simplify (- 0) into 0 1.056 * [backup-simplify]: Simplify (+ 0 0) into 0 1.057 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 1.059 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.060 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.063 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.065 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1.065 * [taylor]: Taking taylor expansion of 0 in k 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.072 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 1.073 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.076 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1.077 * [backup-simplify]: Simplify (+ 0 0) into 0 1.077 * [backup-simplify]: Simplify (- 0) into 0 1.077 * [backup-simplify]: Simplify (+ 0 0) into 0 1.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.084 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1.100 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 1.111 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 1.129 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 1.130 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 1.130 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 1.130 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.130 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.131 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.131 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.131 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.131 * [taylor]: Taking taylor expansion of 1/2 in k 1.131 * [backup-simplify]: Simplify 1/2 into 1/2 1.131 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.131 * [taylor]: Taking taylor expansion of 1 in k 1.131 * [backup-simplify]: Simplify 1 into 1 1.131 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.131 * [taylor]: Taking taylor expansion of k in k 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [backup-simplify]: Simplify 1 into 1 1.131 * [backup-simplify]: Simplify (/ 1 1) into 1 1.131 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.131 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.131 * [taylor]: Taking taylor expansion of 2 in k 1.131 * [backup-simplify]: Simplify 2 into 2 1.131 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.131 * [taylor]: Taking taylor expansion of PI in k 1.131 * [backup-simplify]: Simplify PI into PI 1.132 * [taylor]: Taking taylor expansion of n in k 1.132 * [backup-simplify]: Simplify n into n 1.132 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.132 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.132 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.132 * [backup-simplify]: Simplify (- 1) into -1 1.133 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.133 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.133 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.133 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.133 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.133 * [taylor]: Taking taylor expansion of k in k 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify 1 into 1 1.134 * [backup-simplify]: Simplify (sqrt 0) into 0 1.135 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.135 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.136 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.136 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.136 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.136 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.136 * [taylor]: Taking taylor expansion of 1/2 in n 1.136 * [backup-simplify]: Simplify 1/2 into 1/2 1.136 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.136 * [taylor]: Taking taylor expansion of 1 in n 1.136 * [backup-simplify]: Simplify 1 into 1 1.136 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.136 * [taylor]: Taking taylor expansion of k in n 1.136 * [backup-simplify]: Simplify k into k 1.136 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.136 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.136 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.136 * [taylor]: Taking taylor expansion of 2 in n 1.136 * [backup-simplify]: Simplify 2 into 2 1.136 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.136 * [taylor]: Taking taylor expansion of PI in n 1.136 * [backup-simplify]: Simplify PI into PI 1.136 * [taylor]: Taking taylor expansion of n in n 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify 1 into 1 1.137 * [backup-simplify]: Simplify (/ PI 1) into PI 1.137 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.138 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.138 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.138 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.139 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.140 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.141 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.142 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1.142 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.142 * [taylor]: Taking taylor expansion of k in n 1.142 * [backup-simplify]: Simplify k into k 1.142 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.142 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.143 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.143 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.143 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.143 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.143 * [taylor]: Taking taylor expansion of 1/2 in n 1.143 * [backup-simplify]: Simplify 1/2 into 1/2 1.143 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.143 * [taylor]: Taking taylor expansion of 1 in n 1.143 * [backup-simplify]: Simplify 1 into 1 1.143 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.143 * [taylor]: Taking taylor expansion of k in n 1.143 * [backup-simplify]: Simplify k into k 1.143 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.143 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.143 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.143 * [taylor]: Taking taylor expansion of 2 in n 1.143 * [backup-simplify]: Simplify 2 into 2 1.143 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.143 * [taylor]: Taking taylor expansion of PI in n 1.143 * [backup-simplify]: Simplify PI into PI 1.143 * [taylor]: Taking taylor expansion of n in n 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 1 into 1 1.144 * [backup-simplify]: Simplify (/ PI 1) into PI 1.144 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.145 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.145 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.145 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.145 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.147 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.148 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.149 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1.149 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.149 * [taylor]: Taking taylor expansion of k in n 1.149 * [backup-simplify]: Simplify k into k 1.150 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.151 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) 1.151 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 1.151 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1.151 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1.151 * [taylor]: Taking taylor expansion of 1/2 in k 1.151 * [backup-simplify]: Simplify 1/2 into 1/2 1.151 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1.151 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.151 * [taylor]: Taking taylor expansion of 1 in k 1.151 * [backup-simplify]: Simplify 1 into 1 1.151 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.151 * [taylor]: Taking taylor expansion of k in k 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify 1 into 1 1.152 * [backup-simplify]: Simplify (/ 1 1) into 1 1.152 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.152 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.152 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.152 * [taylor]: Taking taylor expansion of 2 in k 1.152 * [backup-simplify]: Simplify 2 into 2 1.152 * [taylor]: Taking taylor expansion of PI in k 1.152 * [backup-simplify]: Simplify PI into PI 1.152 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.153 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.153 * [taylor]: Taking taylor expansion of (log n) in k 1.153 * [taylor]: Taking taylor expansion of n in k 1.153 * [backup-simplify]: Simplify n into n 1.154 * [backup-simplify]: Simplify (log n) into (log n) 1.154 * [backup-simplify]: Simplify (- 1) into -1 1.154 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.154 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.155 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1.156 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1.157 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1.159 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1.159 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.159 * [taylor]: Taking taylor expansion of k in k 1.159 * [backup-simplify]: Simplify 0 into 0 1.159 * [backup-simplify]: Simplify 1 into 1 1.159 * [backup-simplify]: Simplify (sqrt 0) into 0 1.160 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.161 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 1.161 * [backup-simplify]: Simplify 0 into 0 1.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.163 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.165 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.166 * [backup-simplify]: Simplify (- 0) into 0 1.166 * [backup-simplify]: Simplify (+ 0 0) into 0 1.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1.168 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.169 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.171 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.172 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 1.172 * [taylor]: Taking taylor expansion of 0 in k 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.175 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.176 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.178 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.181 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.182 * [backup-simplify]: Simplify (- 0) into 0 1.182 * [backup-simplify]: Simplify (+ 0 0) into 0 1.183 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1.185 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.186 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1.189 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.190 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1.190 * [taylor]: Taking taylor expansion of 0 in k 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify 0 into 0 1.193 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.195 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.196 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.202 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.208 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.209 * [backup-simplify]: Simplify (- 0) into 0 1.209 * [backup-simplify]: Simplify (+ 0 0) into 0 1.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1.212 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.214 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1.216 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.218 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1.218 * [taylor]: Taking taylor expansion of 0 in k 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.225 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.226 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.230 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 1.230 * [backup-simplify]: Simplify (/ (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 1.230 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 1.230 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.231 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.231 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.231 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.231 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.231 * [taylor]: Taking taylor expansion of 1/2 in k 1.231 * [backup-simplify]: Simplify 1/2 into 1/2 1.231 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.231 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.231 * [taylor]: Taking taylor expansion of k in k 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify 1 into 1 1.231 * [backup-simplify]: Simplify (/ 1 1) into 1 1.231 * [taylor]: Taking taylor expansion of 1 in k 1.231 * [backup-simplify]: Simplify 1 into 1 1.231 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.231 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.231 * [taylor]: Taking taylor expansion of -2 in k 1.231 * [backup-simplify]: Simplify -2 into -2 1.231 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.231 * [taylor]: Taking taylor expansion of PI in k 1.231 * [backup-simplify]: Simplify PI into PI 1.231 * [taylor]: Taking taylor expansion of n in k 1.231 * [backup-simplify]: Simplify n into n 1.232 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.232 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.232 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.232 * [backup-simplify]: Simplify (+ 1 0) into 1 1.233 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.233 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.233 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.233 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.233 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.233 * [taylor]: Taking taylor expansion of -1 in k 1.233 * [backup-simplify]: Simplify -1 into -1 1.233 * [taylor]: Taking taylor expansion of k in k 1.233 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify 1 into 1 1.233 * [backup-simplify]: Simplify (/ -1 1) into -1 1.234 * [backup-simplify]: Simplify (sqrt 0) into 0 1.235 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.235 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 1.236 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.236 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.236 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.236 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.236 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.236 * [taylor]: Taking taylor expansion of 1/2 in n 1.236 * [backup-simplify]: Simplify 1/2 into 1/2 1.236 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.236 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.236 * [taylor]: Taking taylor expansion of k in n 1.236 * [backup-simplify]: Simplify k into k 1.236 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.236 * [taylor]: Taking taylor expansion of 1 in n 1.236 * [backup-simplify]: Simplify 1 into 1 1.236 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.236 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.236 * [taylor]: Taking taylor expansion of -2 in n 1.236 * [backup-simplify]: Simplify -2 into -2 1.236 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.236 * [taylor]: Taking taylor expansion of PI in n 1.236 * [backup-simplify]: Simplify PI into PI 1.236 * [taylor]: Taking taylor expansion of n in n 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify 1 into 1 1.237 * [backup-simplify]: Simplify (/ PI 1) into PI 1.237 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.238 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.238 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.238 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.239 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.240 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.240 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1.240 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.240 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.241 * [taylor]: Taking taylor expansion of -1 in n 1.241 * [backup-simplify]: Simplify -1 into -1 1.241 * [taylor]: Taking taylor expansion of k in n 1.241 * [backup-simplify]: Simplify k into k 1.241 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.241 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.241 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.241 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) 1.241 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.242 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.242 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.242 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.242 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.242 * [taylor]: Taking taylor expansion of 1/2 in n 1.242 * [backup-simplify]: Simplify 1/2 into 1/2 1.242 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.242 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.242 * [taylor]: Taking taylor expansion of k in n 1.242 * [backup-simplify]: Simplify k into k 1.242 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.242 * [taylor]: Taking taylor expansion of 1 in n 1.242 * [backup-simplify]: Simplify 1 into 1 1.242 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.242 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.242 * [taylor]: Taking taylor expansion of -2 in n 1.242 * [backup-simplify]: Simplify -2 into -2 1.242 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.242 * [taylor]: Taking taylor expansion of PI in n 1.242 * [backup-simplify]: Simplify PI into PI 1.242 * [taylor]: Taking taylor expansion of n in n 1.242 * [backup-simplify]: Simplify 0 into 0 1.242 * [backup-simplify]: Simplify 1 into 1 1.242 * [backup-simplify]: Simplify (/ PI 1) into PI 1.242 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.243 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.243 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.243 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.244 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.245 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.246 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1.246 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.246 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.246 * [taylor]: Taking taylor expansion of -1 in n 1.246 * [backup-simplify]: Simplify -1 into -1 1.246 * [taylor]: Taking taylor expansion of k in n 1.246 * [backup-simplify]: Simplify k into k 1.246 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.246 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.246 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.247 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) 1.247 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.247 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.247 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.247 * [taylor]: Taking taylor expansion of 1/2 in k 1.247 * [backup-simplify]: Simplify 1/2 into 1/2 1.247 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.247 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.247 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.247 * [taylor]: Taking taylor expansion of k in k 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify 1 into 1 1.247 * [backup-simplify]: Simplify (/ 1 1) into 1 1.247 * [taylor]: Taking taylor expansion of 1 in k 1.247 * [backup-simplify]: Simplify 1 into 1 1.247 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.247 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.247 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.247 * [taylor]: Taking taylor expansion of -2 in k 1.247 * [backup-simplify]: Simplify -2 into -2 1.247 * [taylor]: Taking taylor expansion of PI in k 1.248 * [backup-simplify]: Simplify PI into PI 1.248 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.248 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.249 * [taylor]: Taking taylor expansion of (log n) in k 1.249 * [taylor]: Taking taylor expansion of n in k 1.249 * [backup-simplify]: Simplify n into n 1.249 * [backup-simplify]: Simplify (log n) into (log n) 1.249 * [backup-simplify]: Simplify (+ 1 0) into 1 1.249 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.250 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1.250 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1.251 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1.252 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1.252 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.252 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.252 * [taylor]: Taking taylor expansion of -1 in k 1.252 * [backup-simplify]: Simplify -1 into -1 1.252 * [taylor]: Taking taylor expansion of k in k 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify 1 into 1 1.252 * [backup-simplify]: Simplify (/ -1 1) into -1 1.252 * [backup-simplify]: Simplify (sqrt 0) into 0 1.253 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.254 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 1.254 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 1.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.255 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.257 * [backup-simplify]: Simplify (+ 0 0) into 0 1.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1.258 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.259 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1.260 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.260 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1.260 * [taylor]: Taking taylor expansion of 0 in k 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.263 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.264 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.265 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.266 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.269 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 1.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.270 * [backup-simplify]: Simplify (+ 0 0) into 0 1.271 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1.272 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.274 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1.276 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.277 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.277 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1.279 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1.279 * [taylor]: Taking taylor expansion of 0 in k 1.279 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.284 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.288 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.289 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.293 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1.293 * * * [progress]: simplifying candidates 1.293 * * * * [progress]: [ 1 / 133 ] simplifiying candidate # 1.293 * * * * [progress]: [ 2 / 133 ] simplifiying candidate # 1.293 * * * * [progress]: [ 3 / 133 ] simplifiying candidate # 1.294 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 1.294 * * [simplify]: iters left: 6 (13 enodes) 1.301 * * [simplify]: iters left: 5 (54 enodes) 1.319 * * [simplify]: iters left: 4 (97 enodes) 1.356 * * [simplify]: iters left: 3 (250 enodes) 1.437 * * [simplify]: Extracting #0: cost 1 inf + 0 1.438 * * [simplify]: Extracting #1: cost 34 inf + 0 1.438 * * [simplify]: Extracting #2: cost 100 inf + 73 1.440 * * [simplify]: Extracting #3: cost 126 inf + 1867 1.446 * * [simplify]: Extracting #4: cost 46 inf + 20363 1.453 * * [simplify]: Extracting #5: cost 5 inf + 31901 1.460 * * [simplify]: Extracting #6: cost 0 inf + 33789 1.467 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 1.467 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (sqrt k))) 1.467 * * * * [progress]: [ 4 / 133 ] simplifiying candidate # 1.467 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 1.467 * * [simplify]: iters left: 6 (12 enodes) 1.471 * * [simplify]: iters left: 5 (52 enodes) 1.485 * * [simplify]: iters left: 4 (90 enodes) 1.522 * * [simplify]: iters left: 3 (207 enodes) 1.585 * * [simplify]: Extracting #0: cost 1 inf + 0 1.585 * * [simplify]: Extracting #1: cost 29 inf + 0 1.585 * * [simplify]: Extracting #2: cost 88 inf + 73 1.585 * * [simplify]: Extracting #3: cost 117 inf + 443 1.586 * * [simplify]: Extracting #4: cost 77 inf + 5789 1.590 * * [simplify]: Extracting #5: cost 28 inf + 17508 1.595 * * [simplify]: Extracting #6: cost 0 inf + 26056 1.603 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 1.603 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k))) 1.604 * * * * [progress]: [ 5 / 133 ] simplifiying candidate # 1.604 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 1.604 * * [simplify]: iters left: 6 (11 enodes) 1.611 * * [simplify]: iters left: 5 (51 enodes) 1.629 * * [simplify]: iters left: 4 (97 enodes) 1.663 * * [simplify]: iters left: 3 (201 enodes) 1.744 * * [simplify]: Extracting #0: cost 1 inf + 0 1.745 * * [simplify]: Extracting #1: cost 31 inf + 0 1.745 * * [simplify]: Extracting #2: cost 94 inf + 2 1.745 * * [simplify]: Extracting #3: cost 127 inf + 355 1.747 * * [simplify]: Extracting #4: cost 75 inf + 7402 1.749 * * [simplify]: Extracting #5: cost 31 inf + 16283 1.754 * * [simplify]: Extracting #6: cost 3 inf + 23308 1.765 * * [simplify]: Extracting #7: cost 0 inf + 24140 1.775 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 1.775 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k))) 1.776 * * * * [progress]: [ 6 / 133 ] simplifiying candidate # 1.776 * * * * [progress]: [ 7 / 133 ] simplifiying candidate # 1.776 * [simplify]: Simplifying (* n (* 2 PI)) 1.776 * * [simplify]: iters left: 4 (5 enodes) 1.779 * * [simplify]: iters left: 3 (19 enodes) 1.785 * * [simplify]: iters left: 2 (27 enodes) 1.794 * * [simplify]: iters left: 1 (32 enodes) 1.802 * * [simplify]: Extracting #0: cost 1 inf + 0 1.802 * * [simplify]: Extracting #1: cost 8 inf + 0 1.802 * * [simplify]: Extracting #2: cost 7 inf + 45 1.802 * * [simplify]: Extracting #3: cost 0 inf + 421 1.802 * [simplify]: Simplified to (* (* PI 2) n) 1.802 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.803 * * * * [progress]: [ 8 / 133 ] simplifiying candidate # 1.803 * [simplify]: Simplifying (* n (* 2 PI)) 1.803 * * [simplify]: iters left: 4 (5 enodes) 1.806 * * [simplify]: iters left: 3 (19 enodes) 1.811 * * [simplify]: iters left: 2 (27 enodes) 1.818 * * [simplify]: iters left: 1 (32 enodes) 1.822 * * [simplify]: Extracting #0: cost 1 inf + 0 1.822 * * [simplify]: Extracting #1: cost 8 inf + 0 1.822 * * [simplify]: Extracting #2: cost 7 inf + 45 1.822 * * [simplify]: Extracting #3: cost 0 inf + 421 1.823 * [simplify]: Simplified to (* (* PI 2) n) 1.823 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.823 * * * * [progress]: [ 9 / 133 ] simplifiying candidate # 1.823 * [simplify]: Simplifying (* n (* 2 PI)) 1.823 * * [simplify]: iters left: 4 (5 enodes) 1.824 * * [simplify]: iters left: 3 (19 enodes) 1.827 * * [simplify]: iters left: 2 (27 enodes) 1.831 * * [simplify]: iters left: 1 (32 enodes) 1.835 * * [simplify]: Extracting #0: cost 1 inf + 0 1.835 * * [simplify]: Extracting #1: cost 8 inf + 0 1.835 * * [simplify]: Extracting #2: cost 7 inf + 45 1.836 * * [simplify]: Extracting #3: cost 0 inf + 421 1.836 * [simplify]: Simplified to (* (* PI 2) n) 1.836 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.836 * * * * [progress]: [ 10 / 133 ] simplifiying candidate # 1.836 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 1.836 * * [simplify]: iters left: 5 (8 enodes) 1.838 * * [simplify]: iters left: 4 (31 enodes) 1.848 * * [simplify]: iters left: 3 (51 enodes) 1.864 * * [simplify]: iters left: 2 (85 enodes) 1.878 * * [simplify]: iters left: 1 (152 enodes) 1.922 * * [simplify]: Extracting #0: cost 1 inf + 0 1.922 * * [simplify]: Extracting #1: cost 13 inf + 0 1.923 * * [simplify]: Extracting #2: cost 59 inf + 1 1.923 * * [simplify]: Extracting #3: cost 76 inf + 9 1.924 * * [simplify]: Extracting #4: cost 41 inf + 3303 1.927 * * [simplify]: Extracting #5: cost 16 inf + 10676 1.932 * * [simplify]: Extracting #6: cost 0 inf + 21028 1.938 * * [simplify]: Extracting #7: cost 0 inf + 20456 1.943 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 1.944 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) 1.944 * * * * [progress]: [ 11 / 133 ] simplifiying candidate # 1.944 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 1.944 * * [simplify]: iters left: 5 (6 enodes) 1.948 * * [simplify]: iters left: 4 (26 enodes) 1.956 * * [simplify]: iters left: 3 (35 enodes) 1.967 * * [simplify]: Extracting #0: cost 1 inf + 0 1.967 * * [simplify]: Extracting #1: cost 3 inf + 0 1.967 * * [simplify]: Extracting #2: cost 8 inf + 0 1.967 * * [simplify]: Extracting #3: cost 11 inf + 2 1.967 * * [simplify]: Extracting #4: cost 8 inf + 87 1.967 * * [simplify]: Extracting #5: cost 2 inf + 500 1.967 * * [simplify]: Extracting #6: cost 0 inf + 746 1.968 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 1.968 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k))) 1.968 * * * * [progress]: [ 12 / 133 ] simplifiying candidate # 1.968 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 1.968 * * [simplify]: iters left: 5 (6 enodes) 1.972 * * [simplify]: iters left: 4 (26 enodes) 1.981 * * [simplify]: iters left: 3 (35 enodes) 1.991 * * [simplify]: Extracting #0: cost 1 inf + 0 1.992 * * [simplify]: Extracting #1: cost 3 inf + 0 1.992 * * [simplify]: Extracting #2: cost 8 inf + 0 1.992 * * [simplify]: Extracting #3: cost 11 inf + 2 1.992 * * [simplify]: Extracting #4: cost 8 inf + 87 1.992 * * [simplify]: Extracting #5: cost 2 inf + 460 1.992 * * [simplify]: Extracting #6: cost 0 inf + 666 1.993 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 1.993 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k))) 1.993 * * * * [progress]: [ 13 / 133 ] simplifiying candidate # 1.993 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 1.993 * * [simplify]: iters left: 5 (7 enodes) 1.998 * * [simplify]: iters left: 4 (25 enodes) 2.006 * * [simplify]: iters left: 3 (30 enodes) 2.015 * * [simplify]: Extracting #0: cost 1 inf + 0 2.015 * * [simplify]: Extracting #1: cost 4 inf + 0 2.015 * * [simplify]: Extracting #2: cost 8 inf + 0 2.015 * * [simplify]: Extracting #3: cost 10 inf + 82 2.016 * * [simplify]: Extracting #4: cost 7 inf + 206 2.016 * * [simplify]: Extracting #5: cost 2 inf + 575 2.016 * * [simplify]: Extracting #6: cost 1 inf + 818 2.016 * * [simplify]: Extracting #7: cost 0 inf + 1061 2.017 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 2.017 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k))) 2.017 * * * * [progress]: [ 14 / 133 ] simplifiying candidate # 2.017 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 2.018 * * [simplify]: iters left: 5 (7 enodes) 2.022 * * [simplify]: iters left: 4 (25 enodes) 2.030 * * [simplify]: iters left: 3 (30 enodes) 2.039 * * [simplify]: Extracting #0: cost 1 inf + 0 2.039 * * [simplify]: Extracting #1: cost 4 inf + 0 2.040 * * [simplify]: Extracting #2: cost 8 inf + 0 2.040 * * [simplify]: Extracting #3: cost 10 inf + 42 2.040 * * [simplify]: Extracting #4: cost 7 inf + 126 2.040 * * [simplify]: Extracting #5: cost 2 inf + 495 2.040 * * [simplify]: Extracting #6: cost 1 inf + 698 2.041 * * [simplify]: Extracting #7: cost 0 inf + 901 2.041 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 2.041 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k))) 2.041 * * * * [progress]: [ 15 / 133 ] simplifiying candidate # 2.042 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 2.042 * * [simplify]: iters left: 5 (6 enodes) 2.045 * * [simplify]: iters left: 4 (22 enodes) 2.052 * * [simplify]: iters left: 3 (27 enodes) 2.063 * * [simplify]: Extracting #0: cost 1 inf + 0 2.063 * * [simplify]: Extracting #1: cost 4 inf + 0 2.063 * * [simplify]: Extracting #2: cost 5 inf + 1 2.063 * * [simplify]: Extracting #3: cost 9 inf + 1 2.064 * * [simplify]: Extracting #4: cost 8 inf + 3 2.064 * * [simplify]: Extracting #5: cost 4 inf + 169 2.064 * * [simplify]: Extracting #6: cost 1 inf + 576 2.064 * * [simplify]: Extracting #7: cost 0 inf + 739 2.064 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 2.065 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (sqrt k))) 2.065 * * * * [progress]: [ 16 / 133 ] simplifiying candidate # 2.065 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 2.065 * * [simplify]: iters left: 5 (7 enodes) 2.069 * * [simplify]: iters left: 4 (25 enodes) 2.078 * * [simplify]: iters left: 3 (30 enodes) 2.087 * * [simplify]: Extracting #0: cost 1 inf + 0 2.087 * * [simplify]: Extracting #1: cost 4 inf + 0 2.087 * * [simplify]: Extracting #2: cost 8 inf + 0 2.087 * * [simplify]: Extracting #3: cost 10 inf + 82 2.087 * * [simplify]: Extracting #4: cost 7 inf + 206 2.088 * * [simplify]: Extracting #5: cost 2 inf + 495 2.088 * * [simplify]: Extracting #6: cost 1 inf + 698 2.088 * * [simplify]: Extracting #7: cost 0 inf + 901 2.089 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 2.089 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k))) 2.089 * * * * [progress]: [ 17 / 133 ] simplifiying candidate # 2.089 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 2.089 * * [simplify]: iters left: 5 (7 enodes) 2.093 * * [simplify]: iters left: 4 (25 enodes) 2.102 * * [simplify]: iters left: 3 (30 enodes) 2.111 * * [simplify]: Extracting #0: cost 1 inf + 0 2.111 * * [simplify]: Extracting #1: cost 4 inf + 0 2.111 * * [simplify]: Extracting #2: cost 8 inf + 0 2.111 * * [simplify]: Extracting #3: cost 10 inf + 42 2.112 * * [simplify]: Extracting #4: cost 7 inf + 126 2.112 * * [simplify]: Extracting #5: cost 2 inf + 415 2.112 * * [simplify]: Extracting #6: cost 1 inf + 578 2.112 * * [simplify]: Extracting #7: cost 0 inf + 741 2.113 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 2.113 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k))) 2.113 * * * * [progress]: [ 18 / 133 ] simplifiying candidate # 2.113 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 2.113 * * [simplify]: iters left: 5 (6 enodes) 2.117 * * [simplify]: iters left: 4 (22 enodes) 2.124 * * [simplify]: iters left: 3 (27 enodes) 2.132 * * [simplify]: Extracting #0: cost 1 inf + 0 2.132 * * [simplify]: Extracting #1: cost 4 inf + 0 2.132 * * [simplify]: Extracting #2: cost 5 inf + 1 2.132 * * [simplify]: Extracting #3: cost 9 inf + 1 2.132 * * [simplify]: Extracting #4: cost 8 inf + 3 2.132 * * [simplify]: Extracting #5: cost 4 inf + 169 2.133 * * [simplify]: Extracting #6: cost 1 inf + 456 2.133 * * [simplify]: Extracting #7: cost 0 inf + 579 2.133 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 2.133 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k))) 2.133 * * * * [progress]: [ 19 / 133 ] simplifiying candidate # 2.134 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.134 * * [simplify]: iters left: 4 (6 enodes) 2.137 * * [simplify]: iters left: 3 (25 enodes) 2.146 * * [simplify]: iters left: 2 (36 enodes) 2.158 * * [simplify]: iters left: 1 (40 enodes) 2.170 * * [simplify]: Extracting #0: cost 1 inf + 0 2.170 * * [simplify]: Extracting #1: cost 7 inf + 0 2.170 * * [simplify]: Extracting #2: cost 16 inf + 0 2.170 * * [simplify]: Extracting #3: cost 13 inf + 44 2.170 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.171 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.171 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.171 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k))) 2.171 * * * * [progress]: [ 20 / 133 ] simplifiying candidate # 2.172 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.172 * * [simplify]: iters left: 4 (6 enodes) 2.176 * * [simplify]: iters left: 3 (25 enodes) 2.181 * * [simplify]: iters left: 2 (36 enodes) 2.187 * * [simplify]: iters left: 1 (40 enodes) 2.193 * * [simplify]: Extracting #0: cost 1 inf + 0 2.193 * * [simplify]: Extracting #1: cost 7 inf + 0 2.193 * * [simplify]: Extracting #2: cost 16 inf + 0 2.193 * * [simplify]: Extracting #3: cost 13 inf + 44 2.193 * * [simplify]: Extracting #4: cost 3 inf + 823 2.194 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.194 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.194 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.194 * * * * [progress]: [ 21 / 133 ] simplifiying candidate # 2.194 * [simplify]: Simplifying (/ (- 1 k) 2) 2.194 * * [simplify]: iters left: 4 (5 enodes) 2.198 * * [simplify]: iters left: 3 (23 enodes) 2.202 * * [simplify]: iters left: 2 (32 enodes) 2.206 * * [simplify]: Extracting #0: cost 1 inf + 0 2.206 * * [simplify]: Extracting #1: cost 6 inf + 0 2.206 * * [simplify]: Extracting #2: cost 9 inf + 2 2.207 * * [simplify]: Extracting #3: cost 6 inf + 87 2.207 * * [simplify]: Extracting #4: cost 0 inf + 420 2.207 * [simplify]: Simplified to (/ (- 1 k) 2) 2.207 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.207 * * * * [progress]: [ 22 / 133 ] simplifiying candidate # 2.208 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2.208 * * [simplify]: iters left: 5 (8 enodes) 2.213 * * [simplify]: iters left: 4 (31 enodes) 2.223 * * [simplify]: iters left: 3 (45 enodes) 2.235 * * [simplify]: iters left: 2 (51 enodes) 2.249 * * [simplify]: iters left: 1 (52 enodes) 2.263 * * [simplify]: Extracting #0: cost 1 inf + 0 2.263 * * [simplify]: Extracting #1: cost 8 inf + 0 2.263 * * [simplify]: Extracting #2: cost 18 inf + 0 2.263 * * [simplify]: Extracting #3: cost 19 inf + 2 2.263 * * [simplify]: Extracting #4: cost 9 inf + 977 2.264 * * [simplify]: Extracting #5: cost 2 inf + 1790 2.265 * * [simplify]: Extracting #6: cost 0 inf + 2195 2.265 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.265 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 2.266 * * * * [progress]: [ 23 / 133 ] simplifiying candidate # 2.266 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2.266 * * [simplify]: iters left: 5 (8 enodes) 2.271 * * [simplify]: iters left: 4 (31 enodes) 2.282 * * [simplify]: iters left: 3 (45 enodes) 2.294 * * [simplify]: iters left: 2 (51 enodes) 2.303 * * [simplify]: iters left: 1 (52 enodes) 2.310 * * [simplify]: Extracting #0: cost 1 inf + 0 2.310 * * [simplify]: Extracting #1: cost 8 inf + 0 2.310 * * [simplify]: Extracting #2: cost 18 inf + 0 2.310 * * [simplify]: Extracting #3: cost 19 inf + 2 2.311 * * [simplify]: Extracting #4: cost 9 inf + 697 2.311 * * [simplify]: Extracting #5: cost 2 inf + 1390 2.311 * * [simplify]: Extracting #6: cost 0 inf + 1715 2.311 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.312 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 2.312 * * * * [progress]: [ 24 / 133 ] simplifiying candidate # 2.312 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 2.312 * * [simplify]: iters left: 5 (7 enodes) 2.315 * * [simplify]: iters left: 4 (29 enodes) 2.321 * * [simplify]: iters left: 3 (43 enodes) 2.327 * * [simplify]: iters left: 2 (47 enodes) 2.334 * * [simplify]: Extracting #0: cost 1 inf + 0 2.334 * * [simplify]: Extracting #1: cost 7 inf + 0 2.334 * * [simplify]: Extracting #2: cost 11 inf + 2 2.334 * * [simplify]: Extracting #3: cost 13 inf + 3 2.334 * * [simplify]: Extracting #4: cost 11 inf + 45 2.334 * * [simplify]: Extracting #5: cost 0 inf + 1066 2.334 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.334 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 2.335 * * * * [progress]: [ 25 / 133 ] simplifiying candidate # 2.335 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 2.335 * * [simplify]: iters left: 5 (7 enodes) 2.337 * * [simplify]: iters left: 4 (28 enodes) 2.342 * * [simplify]: iters left: 3 (39 enodes) 2.350 * * [simplify]: iters left: 2 (43 enodes) 2.357 * * [simplify]: Extracting #0: cost 1 inf + 0 2.357 * * [simplify]: Extracting #1: cost 7 inf + 0 2.357 * * [simplify]: Extracting #2: cost 16 inf + 0 2.357 * * [simplify]: Extracting #3: cost 15 inf + 164 2.357 * * [simplify]: Extracting #4: cost 13 inf + 287 2.357 * * [simplify]: Extracting #5: cost 5 inf + 1180 2.357 * * [simplify]: Extracting #6: cost 0 inf + 1951 2.358 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.358 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 2.358 * * * * [progress]: [ 26 / 133 ] simplifiying candidate # 2.358 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 2.358 * * [simplify]: iters left: 5 (7 enodes) 2.360 * * [simplify]: iters left: 4 (28 enodes) 2.365 * * [simplify]: iters left: 3 (39 enodes) 2.371 * * [simplify]: iters left: 2 (43 enodes) 2.380 * * [simplify]: Extracting #0: cost 1 inf + 0 2.380 * * [simplify]: Extracting #1: cost 7 inf + 0 2.380 * * [simplify]: Extracting #2: cost 16 inf + 0 2.380 * * [simplify]: Extracting #3: cost 15 inf + 84 2.380 * * [simplify]: Extracting #4: cost 13 inf + 167 2.380 * * [simplify]: Extracting #5: cost 5 inf + 900 2.381 * * [simplify]: Extracting #6: cost 0 inf + 1551 2.381 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.381 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 2.382 * * * * [progress]: [ 27 / 133 ] simplifiying candidate # 2.382 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 2.382 * * [simplify]: iters left: 5 (6 enodes) 2.386 * * [simplify]: iters left: 4 (26 enodes) 2.395 * * [simplify]: iters left: 3 (35 enodes) 2.405 * * [simplify]: Extracting #0: cost 1 inf + 0 2.405 * * [simplify]: Extracting #1: cost 6 inf + 0 2.405 * * [simplify]: Extracting #2: cost 9 inf + 2 2.405 * * [simplify]: Extracting #3: cost 11 inf + 3 2.405 * * [simplify]: Extracting #4: cost 10 inf + 4 2.405 * * [simplify]: Extracting #5: cost 3 inf + 535 2.406 * * [simplify]: Extracting #6: cost 0 inf + 822 2.406 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.406 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 2.406 * * * * [progress]: [ 28 / 133 ] simplifiying candidate # 2.406 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.406 * * [simplify]: iters left: 4 (6 enodes) 2.410 * * [simplify]: iters left: 3 (25 enodes) 2.419 * * [simplify]: iters left: 2 (36 enodes) 2.433 * * [simplify]: iters left: 1 (40 enodes) 2.445 * * [simplify]: Extracting #0: cost 1 inf + 0 2.446 * * [simplify]: Extracting #1: cost 7 inf + 0 2.446 * * [simplify]: Extracting #2: cost 16 inf + 0 2.446 * * [simplify]: Extracting #3: cost 13 inf + 44 2.446 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.447 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.447 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.447 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k))) 2.447 * * * * [progress]: [ 29 / 133 ] simplifiying candidate # 2.448 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.448 * * [simplify]: iters left: 4 (6 enodes) 2.452 * * [simplify]: iters left: 3 (25 enodes) 2.461 * * [simplify]: iters left: 2 (36 enodes) 2.472 * * [simplify]: iters left: 1 (40 enodes) 2.484 * * [simplify]: Extracting #0: cost 1 inf + 0 2.484 * * [simplify]: Extracting #1: cost 7 inf + 0 2.484 * * [simplify]: Extracting #2: cost 16 inf + 0 2.484 * * [simplify]: Extracting #3: cost 13 inf + 44 2.484 * * [simplify]: Extracting #4: cost 3 inf + 823 2.485 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.485 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.485 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.485 * * * * [progress]: [ 30 / 133 ] simplifiying candidate # 2.486 * [simplify]: Simplifying (/ (- 1 k) 2) 2.486 * * [simplify]: iters left: 4 (5 enodes) 2.490 * * [simplify]: iters left: 3 (23 enodes) 2.498 * * [simplify]: iters left: 2 (32 enodes) 2.508 * * [simplify]: Extracting #0: cost 1 inf + 0 2.508 * * [simplify]: Extracting #1: cost 6 inf + 0 2.508 * * [simplify]: Extracting #2: cost 9 inf + 2 2.508 * * [simplify]: Extracting #3: cost 6 inf + 87 2.508 * * [simplify]: Extracting #4: cost 0 inf + 420 2.508 * [simplify]: Simplified to (/ (- 1 k) 2) 2.508 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.508 * * * * [progress]: [ 31 / 133 ] simplifiying candidate # 2.509 * [simplify]: Simplifying (/ (- 1 k) 2) 2.509 * * [simplify]: iters left: 4 (5 enodes) 2.513 * * [simplify]: iters left: 3 (23 enodes) 2.518 * * [simplify]: iters left: 2 (32 enodes) 2.523 * * [simplify]: Extracting #0: cost 1 inf + 0 2.523 * * [simplify]: Extracting #1: cost 6 inf + 0 2.523 * * [simplify]: Extracting #2: cost 9 inf + 2 2.523 * * [simplify]: Extracting #3: cost 6 inf + 87 2.523 * * [simplify]: Extracting #4: cost 0 inf + 420 2.523 * [simplify]: Simplified to (/ (- 1 k) 2) 2.524 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k))) 2.524 * * * * [progress]: [ 32 / 133 ] simplifiying candidate # 2.524 * [simplify]: Simplifying (/ 1 2) 2.524 * * [simplify]: iters left: 2 (3 enodes) 2.526 * * [simplify]: iters left: 1 (12 enodes) 2.528 * * [simplify]: Extracting #0: cost 1 inf + 0 2.528 * * [simplify]: Extracting #1: cost 0 inf + 1 2.528 * [simplify]: Simplified to 1/2 2.528 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (sqrt k))) 2.528 * * * * [progress]: [ 33 / 133 ] simplifiying candidate # 2.528 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 2.528 * * [simplify]: iters left: 5 (7 enodes) 2.531 * * [simplify]: iters left: 4 (32 enodes) 2.537 * * [simplify]: iters left: 3 (57 enodes) 2.546 * * [simplify]: iters left: 2 (88 enodes) 2.579 * * [simplify]: iters left: 1 (156 enodes) 2.622 * * [simplify]: Extracting #0: cost 1 inf + 0 2.622 * * [simplify]: Extracting #1: cost 13 inf + 0 2.622 * * [simplify]: Extracting #2: cost 49 inf + 2 2.622 * * [simplify]: Extracting #3: cost 80 inf + 6 2.623 * * [simplify]: Extracting #4: cost 58 inf + 1840 2.624 * * [simplify]: Extracting #5: cost 22 inf + 9206 2.627 * * [simplify]: Extracting #6: cost 1 inf + 20886 2.630 * * [simplify]: Extracting #7: cost 0 inf + 21301 2.635 * * [simplify]: Extracting #8: cost 0 inf + 21130 2.640 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 2.641 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 2.641 * * * * [progress]: [ 34 / 133 ] simplifiying candidate # 2.641 * * * * [progress]: [ 35 / 133 ] simplifiying candidate # 2.641 * * * * [progress]: [ 36 / 133 ] simplifiying candidate # 2.641 * * * * [progress]: [ 37 / 133 ] simplifiying candidate # 2.641 * * * * [progress]: [ 38 / 133 ] simplifiying candidate # 2.641 * * * * [progress]: [ 39 / 133 ] simplifiying candidate # 2.641 * * * * [progress]: [ 40 / 133 ] simplifiying candidate # 2.641 * * * * [progress]: [ 41 / 133 ] simplifiying candidate # 2.641 * * * * [progress]: [ 42 / 133 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))> 2.641 * * * * [progress]: [ 43 / 133 ] simplifiying candidate # 2.641 * * * * [progress]: [ 44 / 133 ] simplifiying candidate # 2.641 * * * * [progress]: [ 45 / 133 ] simplifiying candidate # 2.642 * [simplify]: Simplifying (* n (* 2 PI)) 2.642 * * [simplify]: iters left: 4 (5 enodes) 2.644 * * [simplify]: iters left: 3 (19 enodes) 2.650 * * [simplify]: iters left: 2 (27 enodes) 2.658 * * [simplify]: iters left: 1 (32 enodes) 2.666 * * [simplify]: Extracting #0: cost 1 inf + 0 2.666 * * [simplify]: Extracting #1: cost 8 inf + 0 2.666 * * [simplify]: Extracting #2: cost 7 inf + 45 2.666 * * [simplify]: Extracting #3: cost 0 inf + 421 2.667 * [simplify]: Simplified to (* (* PI 2) n) 2.667 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 2.667 * * * * [progress]: [ 46 / 133 ] simplifiying candidate # 2.667 * [simplify]: Simplifying (* n (* 2 PI)) 2.667 * * [simplify]: iters left: 4 (5 enodes) 2.670 * * [simplify]: iters left: 3 (19 enodes) 2.679 * * [simplify]: iters left: 2 (27 enodes) 2.686 * * [simplify]: iters left: 1 (32 enodes) 2.694 * * [simplify]: Extracting #0: cost 1 inf + 0 2.694 * * [simplify]: Extracting #1: cost 8 inf + 0 2.695 * * [simplify]: Extracting #2: cost 7 inf + 45 2.695 * * [simplify]: Extracting #3: cost 0 inf + 421 2.695 * [simplify]: Simplified to (* (* PI 2) n) 2.695 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 2.695 * * * * [progress]: [ 47 / 133 ] simplifiying candidate # 2.695 * * * * [progress]: [ 48 / 133 ] simplifiying candidate # 2.696 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 2.696 * * [simplify]: iters left: 5 (8 enodes) 2.700 * * [simplify]: iters left: 4 (28 enodes) 2.710 * * [simplify]: iters left: 3 (36 enodes) 2.720 * * [simplify]: iters left: 2 (42 enodes) 2.732 * * [simplify]: Extracting #0: cost 1 inf + 0 2.732 * * [simplify]: Extracting #1: cost 8 inf + 0 2.732 * * [simplify]: Extracting #2: cost 17 inf + 0 2.732 * * [simplify]: Extracting #3: cost 12 inf + 145 2.732 * * [simplify]: Extracting #4: cost 5 inf + 1197 2.733 * * [simplify]: Extracting #5: cost 1 inf + 1925 2.733 * * [simplify]: Extracting #6: cost 0 inf + 2107 2.734 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 2.734 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k))) 2.734 * * * * [progress]: [ 49 / 133 ] simplifiying candidate # 2.735 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 2.735 * * [simplify]: iters left: 5 (7 enodes) 2.739 * * [simplify]: iters left: 4 (26 enodes) 2.747 * * [simplify]: iters left: 3 (35 enodes) 2.758 * * [simplify]: iters left: 2 (44 enodes) 2.770 * * [simplify]: Extracting #0: cost 1 inf + 0 2.770 * * [simplify]: Extracting #1: cost 8 inf + 0 2.770 * * [simplify]: Extracting #2: cost 18 inf + 0 2.770 * * [simplify]: Extracting #3: cost 15 inf + 74 2.770 * * [simplify]: Extracting #4: cost 8 inf + 554 2.771 * * [simplify]: Extracting #5: cost 0 inf + 1911 2.771 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 2.771 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 2.771 * * * * [progress]: [ 50 / 133 ] simplifiying candidate # 2.771 * * * * [progress]: [ 51 / 133 ] simplifiying candidate # 2.772 * * * * [progress]: [ 52 / 133 ] simplifiying candidate # 2.772 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 2.772 * * [simplify]: iters left: 6 (11 enodes) 2.780 * * [simplify]: iters left: 5 (48 enodes) 2.798 * * [simplify]: iters left: 4 (121 enodes) 2.841 * * [simplify]: iters left: 3 (348 enodes) 3.073 * * [simplify]: Extracting #0: cost 1 inf + 0 3.074 * * [simplify]: Extracting #1: cost 67 inf + 0 3.074 * * [simplify]: Extracting #2: cost 165 inf + 786 3.080 * * [simplify]: Extracting #3: cost 85 inf + 10177 3.086 * * [simplify]: Extracting #4: cost 9 inf + 26399 3.093 * * [simplify]: Extracting #5: cost 0 inf + 28546 3.106 * * [simplify]: Extracting #6: cost 0 inf + 28506 3.119 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 3.119 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt k))) 3.119 * * * * [progress]: [ 53 / 133 ] simplifiying candidate # 3.120 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 3.120 * * [simplify]: iters left: 6 (9 enodes) 3.126 * * [simplify]: iters left: 5 (45 enodes) 3.144 * * [simplify]: iters left: 4 (117 enodes) 3.201 * * [simplify]: iters left: 3 (374 enodes) 3.480 * * [simplify]: Extracting #0: cost 1 inf + 0 3.480 * * [simplify]: Extracting #1: cost 77 inf + 0 3.485 * * [simplify]: Extracting #2: cost 184 inf + 984 3.488 * * [simplify]: Extracting #3: cost 106 inf + 11690 3.497 * * [simplify]: Extracting #4: cost 6 inf + 30376 3.506 * * [simplify]: Extracting #5: cost 0 inf + 31644 3.515 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 3.515 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (sqrt k))) 3.515 * * * * [progress]: [ 54 / 133 ] simplifiying candidate # 3.516 * * * * [progress]: [ 55 / 133 ] simplifiying candidate # 3.516 * * * * [progress]: [ 56 / 133 ] simplifiying candidate # 3.516 * * * * [progress]: [ 57 / 133 ] simplifiying candidate # 3.516 * * * * [progress]: [ 58 / 133 ] simplifiying candidate # 3.516 * * * * [progress]: [ 59 / 133 ] simplifiying candidate # 3.516 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 3.516 * * [simplify]: iters left: 3 (3 enodes) 3.517 * * [simplify]: iters left: 2 (9 enodes) 3.518 * * [simplify]: Extracting #0: cost 1 inf + 0 3.518 * * [simplify]: Extracting #1: cost 3 inf + 0 3.518 * * [simplify]: Extracting #2: cost 5 inf + 0 3.518 * * [simplify]: Extracting #3: cost 4 inf + 1 3.518 * * [simplify]: Extracting #4: cost 0 inf + 405 3.518 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 3.518 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 3.518 * * * * [progress]: [ 60 / 133 ] simplifiying candidate # 3.518 * [simplify]: Simplifying (sqrt n) 3.518 * * [simplify]: iters left: 1 (2 enodes) 3.519 * * [simplify]: Extracting #0: cost 1 inf + 0 3.519 * * [simplify]: Extracting #1: cost 3 inf + 0 3.519 * * [simplify]: Extracting #2: cost 2 inf + 1 3.519 * * [simplify]: Extracting #3: cost 0 inf + 83 3.519 * [simplify]: Simplified to (sqrt n) 3.519 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 3.519 * * * * [progress]: [ 61 / 133 ] simplifiying candidate # 3.519 * * * * [progress]: [ 62 / 133 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))> 3.519 * * * * [progress]: [ 63 / 133 ] simplifiying candidate # 3.519 * * * * [progress]: [ 64 / 133 ] simplifiying candidate # 3.519 * * * * [progress]: [ 65 / 133 ] simplifiying candidate # 3.519 * * * * [progress]: [ 66 / 133 ] simplifiying candidate # 3.519 * * * * [progress]: [ 67 / 133 ] simplifiying candidate # 3.519 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.520 * * [simplify]: iters left: 6 (16 enodes) 3.526 * * [simplify]: iters left: 5 (66 enodes) 3.544 * * [simplify]: iters left: 4 (113 enodes) 3.573 * * [simplify]: iters left: 3 (306 enodes) 3.701 * * [simplify]: Extracting #0: cost 1 inf + 0 3.701 * * [simplify]: Extracting #1: cost 33 inf + 0 3.702 * * [simplify]: Extracting #2: cost 89 inf + 0 3.703 * * [simplify]: Extracting #3: cost 132 inf + 603 3.707 * * [simplify]: Extracting #4: cost 115 inf + 7823 3.721 * * [simplify]: Extracting #5: cost 21 inf + 36693 3.737 * * [simplify]: Extracting #6: cost 0 inf + 43786 3.746 * * [simplify]: Extracting #7: cost 0 inf + 43785 3.758 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))) 3.758 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))))) 3.758 * * * * [progress]: [ 68 / 133 ] simplifiying candidate # 3.758 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.758 * * [simplify]: iters left: 6 (15 enodes) 3.766 * * [simplify]: iters left: 5 (64 enodes) 3.787 * * [simplify]: iters left: 4 (106 enodes) 3.807 * * [simplify]: iters left: 3 (247 enodes) 3.919 * * [simplify]: Extracting #0: cost 1 inf + 0 3.919 * * [simplify]: Extracting #1: cost 29 inf + 0 3.919 * * [simplify]: Extracting #2: cost 82 inf + 0 3.920 * * [simplify]: Extracting #3: cost 122 inf + 147 3.922 * * [simplify]: Extracting #4: cost 128 inf + 2275 3.929 * * [simplify]: Extracting #5: cost 42 inf + 21718 3.942 * * [simplify]: Extracting #6: cost 4 inf + 33778 3.958 * * [simplify]: Extracting #7: cost 0 inf + 35144 4.371 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 4.372 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 4.372 * * * * [progress]: [ 69 / 133 ] simplifiying candidate # 4.372 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.372 * * [simplify]: iters left: 6 (14 enodes) 4.377 * * [simplify]: iters left: 5 (63 enodes) 4.393 * * [simplify]: iters left: 4 (113 enodes) 4.431 * * [simplify]: iters left: 3 (229 enodes) 4.547 * * [simplify]: Extracting #0: cost 1 inf + 0 4.547 * * [simplify]: Extracting #1: cost 23 inf + 0 4.548 * * [simplify]: Extracting #2: cost 83 inf + 0 4.548 * * [simplify]: Extracting #3: cost 120 inf + 284 4.551 * * [simplify]: Extracting #4: cost 111 inf + 4879 4.559 * * [simplify]: Extracting #5: cost 26 inf + 24636 4.572 * * [simplify]: Extracting #6: cost 0 inf + 31546 4.586 * * [simplify]: Extracting #7: cost 0 inf + 31046 4.599 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.599 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.600 * * * * [progress]: [ 70 / 133 ] simplifiying candidate # 4.600 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.600 * * [simplify]: iters left: 6 (14 enodes) 4.608 * * [simplify]: iters left: 5 (63 enodes) 4.632 * * [simplify]: iters left: 4 (113 enodes) 4.666 * * [simplify]: iters left: 3 (229 enodes) 4.747 * * [simplify]: Extracting #0: cost 1 inf + 0 4.747 * * [simplify]: Extracting #1: cost 23 inf + 0 4.747 * * [simplify]: Extracting #2: cost 83 inf + 0 4.748 * * [simplify]: Extracting #3: cost 120 inf + 284 4.749 * * [simplify]: Extracting #4: cost 111 inf + 4879 4.753 * * [simplify]: Extracting #5: cost 26 inf + 24636 4.759 * * [simplify]: Extracting #6: cost 0 inf + 31546 4.766 * * [simplify]: Extracting #7: cost 0 inf + 31046 4.772 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.773 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.773 * * * * [progress]: [ 71 / 133 ] simplifiying candidate # 4.773 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 4.773 * * [simplify]: iters left: 6 (14 enodes) 4.777 * * [simplify]: iters left: 5 (61 enodes) 4.787 * * [simplify]: iters left: 4 (112 enodes) 4.810 * * [simplify]: iters left: 3 (219 enodes) 4.873 * * [simplify]: Extracting #0: cost 1 inf + 0 4.873 * * [simplify]: Extracting #1: cost 24 inf + 0 4.874 * * [simplify]: Extracting #2: cost 109 inf + 0 4.875 * * [simplify]: Extracting #3: cost 171 inf + 75 4.876 * * [simplify]: Extracting #4: cost 167 inf + 904 4.880 * * [simplify]: Extracting #5: cost 91 inf + 14562 4.892 * * [simplify]: Extracting #6: cost 10 inf + 36286 4.906 * * [simplify]: Extracting #7: cost 0 inf + 40306 4.923 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))) 4.923 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 4.923 * * * * [progress]: [ 72 / 133 ] simplifiying candidate # 4.924 * * * * [progress]: [ 73 / 133 ] simplifiying candidate # 4.924 * * * * [progress]: [ 74 / 133 ] simplifiying candidate # 4.924 * [simplify]: Simplifying (/ (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 4.924 * * [simplify]: iters left: 6 (16 enodes) 4.930 * * [simplify]: iters left: 5 (72 enodes) 4.944 * * [simplify]: iters left: 4 (165 enodes) 5.009 * * [simplify]: iters left: 3 (474 enodes) 5.366 * * [simplify]: Extracting #0: cost 1 inf + 0 5.367 * * [simplify]: Extracting #1: cost 172 inf + 0 5.369 * * [simplify]: Extracting #2: cost 449 inf + 1 5.373 * * [simplify]: Extracting #3: cost 500 inf + 248 5.378 * * [simplify]: Extracting #4: cost 485 inf + 2081 5.392 * * [simplify]: Extracting #5: cost 365 inf + 63723 5.433 * * [simplify]: Extracting #6: cost 66 inf + 281431 5.519 * * [simplify]: Extracting #7: cost 0 inf + 324121 5.590 * * [simplify]: Extracting #8: cost 0 inf + 321869 5.687 * [simplify]: Simplified to (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 5.687 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 5.687 * * * * [progress]: [ 75 / 133 ] simplifiying candidate # 5.687 * * * * [progress]: [ 76 / 133 ] simplifiying candidate # 5.687 * * * * [progress]: [ 77 / 133 ] simplifiying candidate # 5.687 * * * * [progress]: [ 78 / 133 ] simplifiying candidate # 5.687 * * * * [progress]: [ 79 / 133 ] simplifiying candidate # 5.688 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.688 * * [simplify]: iters left: 6 (11 enodes) 5.694 * * [simplify]: iters left: 5 (46 enodes) 5.710 * * [simplify]: iters left: 4 (79 enodes) 5.727 * * [simplify]: iters left: 3 (135 enodes) 5.759 * * [simplify]: iters left: 2 (270 enodes) 5.850 * * [simplify]: Extracting #0: cost 1 inf + 0 5.850 * * [simplify]: Extracting #1: cost 56 inf + 0 5.850 * * [simplify]: Extracting #2: cost 151 inf + 0 5.851 * * [simplify]: Extracting #3: cost 211 inf + 3 5.852 * * [simplify]: Extracting #4: cost 182 inf + 8248 5.857 * * [simplify]: Extracting #5: cost 108 inf + 32321 5.866 * * [simplify]: Extracting #6: cost 40 inf + 73343 5.892 * * [simplify]: Extracting #7: cost 0 inf + 103841 5.917 * * [simplify]: Extracting #8: cost 0 inf + 103639 5.944 * * [simplify]: Extracting #9: cost 0 inf + 103517 5.969 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.969 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 5.970 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 5.970 * * [simplify]: iters left: 6 (11 enodes) 5.973 * * [simplify]: iters left: 5 (45 enodes) 5.980 * * [simplify]: iters left: 4 (68 enodes) 5.992 * * [simplify]: iters left: 3 (110 enodes) 6.030 * * [simplify]: iters left: 2 (217 enodes) 6.093 * * [simplify]: iters left: 1 (458 enodes) 6.271 * * [simplify]: Extracting #0: cost 1 inf + 0 6.271 * * [simplify]: Extracting #1: cost 45 inf + 0 6.271 * * [simplify]: Extracting #2: cost 132 inf + 0 6.272 * * [simplify]: Extracting #3: cost 212 inf + 3 6.273 * * [simplify]: Extracting #4: cost 213 inf + 801 6.276 * * [simplify]: Extracting #5: cost 140 inf + 15314 6.288 * * [simplify]: Extracting #6: cost 26 inf + 94405 6.309 * * [simplify]: Extracting #7: cost 0 inf + 113797 6.345 * * [simplify]: Extracting #8: cost 0 inf + 112990 6.377 * * [simplify]: Extracting #9: cost 0 inf + 111447 6.409 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))) 6.409 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))))) 6.410 * * * * [progress]: [ 80 / 133 ] simplifiying candidate # 6.410 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 6.410 * * [simplify]: iters left: 6 (11 enodes) 6.416 * * [simplify]: iters left: 5 (45 enodes) 6.432 * * [simplify]: iters left: 4 (72 enodes) 6.455 * * [simplify]: iters left: 3 (113 enodes) 6.496 * * [simplify]: iters left: 2 (202 enodes) 6.573 * * [simplify]: iters left: 1 (423 enodes) 6.799 * * [simplify]: Extracting #0: cost 1 inf + 0 6.799 * * [simplify]: Extracting #1: cost 45 inf + 0 6.800 * * [simplify]: Extracting #2: cost 135 inf + 0 6.801 * * [simplify]: Extracting #3: cost 200 inf + 4 6.804 * * [simplify]: Extracting #4: cost 178 inf + 4357 6.814 * * [simplify]: Extracting #5: cost 104 inf + 31155 6.832 * * [simplify]: Extracting #6: cost 30 inf + 80538 6.861 * * [simplify]: Extracting #7: cost 0 inf + 106837 6.886 * * [simplify]: Extracting #8: cost 0 inf + 104726 6.913 * * [simplify]: Extracting #9: cost 0 inf + 104144 6.938 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 6.938 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 6.939 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 6.939 * * [simplify]: iters left: 6 (11 enodes) 6.942 * * [simplify]: iters left: 5 (45 enodes) 6.950 * * [simplify]: iters left: 4 (68 enodes) 6.962 * * [simplify]: iters left: 3 (110 enodes) 7.000 * * [simplify]: iters left: 2 (217 enodes) 7.053 * * [simplify]: iters left: 1 (458 enodes) 7.253 * * [simplify]: Extracting #0: cost 1 inf + 0 7.253 * * [simplify]: Extracting #1: cost 45 inf + 0 7.254 * * [simplify]: Extracting #2: cost 132 inf + 0 7.256 * * [simplify]: Extracting #3: cost 212 inf + 3 7.258 * * [simplify]: Extracting #4: cost 213 inf + 841 7.265 * * [simplify]: Extracting #5: cost 140 inf + 15394 7.277 * * [simplify]: Extracting #6: cost 26 inf + 94485 7.293 * * [simplify]: Extracting #7: cost 0 inf + 113877 7.312 * * [simplify]: Extracting #8: cost 0 inf + 113070 7.340 * * [simplify]: Extracting #9: cost 0 inf + 111527 7.357 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))) 7.357 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))))) 7.357 * * * * [progress]: [ 81 / 133 ] simplifiying candidate # 7.358 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.358 * * [simplify]: iters left: 6 (10 enodes) 7.361 * * [simplify]: iters left: 5 (41 enodes) 7.368 * * [simplify]: iters left: 4 (68 enodes) 7.383 * * [simplify]: iters left: 3 (109 enodes) 7.404 * * [simplify]: iters left: 2 (194 enodes) 7.452 * * [simplify]: iters left: 1 (414 enodes) 7.660 * * [simplify]: Extracting #0: cost 1 inf + 0 7.660 * * [simplify]: Extracting #1: cost 45 inf + 0 7.661 * * [simplify]: Extracting #2: cost 141 inf + 0 7.662 * * [simplify]: Extracting #3: cost 206 inf + 4 7.665 * * [simplify]: Extracting #4: cost 180 inf + 9439 7.675 * * [simplify]: Extracting #5: cost 108 inf + 27286 7.694 * * [simplify]: Extracting #6: cost 36 inf + 72454 7.709 * * [simplify]: Extracting #7: cost 0 inf + 101831 7.731 * * [simplify]: Extracting #8: cost 0 inf + 101671 7.764 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.765 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 7.765 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.765 * * [simplify]: iters left: 6 (11 enodes) 7.772 * * [simplify]: iters left: 5 (45 enodes) 7.787 * * [simplify]: iters left: 4 (68 enodes) 7.805 * * [simplify]: iters left: 3 (110 enodes) 7.827 * * [simplify]: iters left: 2 (217 enodes) 7.877 * * [simplify]: iters left: 1 (458 enodes) 8.114 * * [simplify]: Extracting #0: cost 1 inf + 0 8.114 * * [simplify]: Extracting #1: cost 45 inf + 0 8.115 * * [simplify]: Extracting #2: cost 132 inf + 0 8.116 * * [simplify]: Extracting #3: cost 212 inf + 3 8.118 * * [simplify]: Extracting #4: cost 213 inf + 761 8.123 * * [simplify]: Extracting #5: cost 140 inf + 15034 8.135 * * [simplify]: Extracting #6: cost 26 inf + 92245 8.152 * * [simplify]: Extracting #7: cost 0 inf + 111037 8.184 * * [simplify]: Extracting #8: cost 0 inf + 110230 8.220 * * [simplify]: Extracting #9: cost 0 inf + 108687 8.252 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 8.252 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 8.252 * * * * [progress]: [ 82 / 133 ] simplifiying candidate # 8.252 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 8.252 * * [simplify]: iters left: 6 (9 enodes) 8.258 * * [simplify]: iters left: 5 (38 enodes) 8.272 * * [simplify]: iters left: 4 (63 enodes) 8.293 * * [simplify]: iters left: 3 (100 enodes) 8.327 * * [simplify]: iters left: 2 (175 enodes) 8.399 * * [simplify]: iters left: 1 (360 enodes) 8.567 * * [simplify]: Extracting #0: cost 1 inf + 0 8.567 * * [simplify]: Extracting #1: cost 52 inf + 0 8.568 * * [simplify]: Extracting #2: cost 150 inf + 3 8.569 * * [simplify]: Extracting #3: cost 190 inf + 8 8.571 * * [simplify]: Extracting #4: cost 161 inf + 3039 8.577 * * [simplify]: Extracting #5: cost 116 inf + 9850 8.591 * * [simplify]: Extracting #6: cost 35 inf + 60283 8.614 * * [simplify]: Extracting #7: cost 2 inf + 86206 8.637 * * [simplify]: Extracting #8: cost 0 inf + 87719 8.663 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 8.663 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 8.666 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 8.666 * * [simplify]: iters left: 6 (10 enodes) 8.672 * * [simplify]: iters left: 5 (42 enodes) 8.686 * * [simplify]: iters left: 4 (65 enodes) 8.707 * * [simplify]: iters left: 3 (104 enodes) 8.747 * * [simplify]: iters left: 2 (206 enodes) 8.795 * * [simplify]: iters left: 1 (435 enodes) 8.963 * * [simplify]: Extracting #0: cost 1 inf + 0 8.963 * * [simplify]: Extracting #1: cost 47 inf + 0 8.964 * * [simplify]: Extracting #2: cost 137 inf + 0 8.965 * * [simplify]: Extracting #3: cost 210 inf + 45 8.967 * * [simplify]: Extracting #4: cost 204 inf + 1134 8.972 * * [simplify]: Extracting #5: cost 148 inf + 9351 8.987 * * [simplify]: Extracting #6: cost 67 inf + 53607 9.015 * * [simplify]: Extracting #7: cost 1 inf + 112920 9.045 * * [simplify]: Extracting #8: cost 0 inf + 111430 9.068 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 9.068 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 9.068 * * * * [progress]: [ 83 / 133 ] simplifiying candidate # 9.068 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.068 * * [simplify]: iters left: 6 (10 enodes) 9.071 * * [simplify]: iters left: 5 (41 enodes) 9.081 * * [simplify]: iters left: 4 (68 enodes) 9.093 * * [simplify]: iters left: 3 (109 enodes) 9.124 * * [simplify]: iters left: 2 (194 enodes) 9.204 * * [simplify]: iters left: 1 (414 enodes) 9.380 * * [simplify]: Extracting #0: cost 1 inf + 0 9.380 * * [simplify]: Extracting #1: cost 45 inf + 0 9.381 * * [simplify]: Extracting #2: cost 141 inf + 0 9.382 * * [simplify]: Extracting #3: cost 206 inf + 4 9.385 * * [simplify]: Extracting #4: cost 180 inf + 9439 9.395 * * [simplify]: Extracting #5: cost 108 inf + 27286 9.418 * * [simplify]: Extracting #6: cost 36 inf + 72454 9.441 * * [simplify]: Extracting #7: cost 0 inf + 101831 9.456 * * [simplify]: Extracting #8: cost 0 inf + 101671 9.482 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.482 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 9.482 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.482 * * [simplify]: iters left: 6 (11 enodes) 9.488 * * [simplify]: iters left: 5 (45 enodes) 9.498 * * [simplify]: iters left: 4 (68 enodes) 9.510 * * [simplify]: iters left: 3 (110 enodes) 9.547 * * [simplify]: iters left: 2 (217 enodes) 9.601 * * [simplify]: iters left: 1 (458 enodes) 9.793 * * [simplify]: Extracting #0: cost 1 inf + 0 9.793 * * [simplify]: Extracting #1: cost 45 inf + 0 9.794 * * [simplify]: Extracting #2: cost 132 inf + 0 9.795 * * [simplify]: Extracting #3: cost 212 inf + 3 9.798 * * [simplify]: Extracting #4: cost 213 inf + 761 9.803 * * [simplify]: Extracting #5: cost 140 inf + 15034 9.817 * * [simplify]: Extracting #6: cost 26 inf + 92245 9.833 * * [simplify]: Extracting #7: cost 0 inf + 111037 9.864 * * [simplify]: Extracting #8: cost 0 inf + 110230 9.888 * * [simplify]: Extracting #9: cost 0 inf + 108687 9.904 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 9.905 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 9.905 * * * * [progress]: [ 84 / 133 ] simplifiying candidate # 9.905 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 9.905 * * [simplify]: iters left: 6 (8 enodes) 9.908 * * [simplify]: iters left: 5 (33 enodes) 9.919 * * [simplify]: iters left: 4 (56 enodes) 9.937 * * [simplify]: iters left: 3 (98 enodes) 9.957 * * [simplify]: iters left: 2 (203 enodes) 10.025 * * [simplify]: iters left: 1 (443 enodes) 10.275 * * [simplify]: Extracting #0: cost 1 inf + 0 10.275 * * [simplify]: Extracting #1: cost 47 inf + 0 10.276 * * [simplify]: Extracting #2: cost 155 inf + 3 10.277 * * [simplify]: Extracting #3: cost 207 inf + 8 10.278 * * [simplify]: Extracting #4: cost 189 inf + 2296 10.281 * * [simplify]: Extracting #5: cost 112 inf + 20090 10.292 * * [simplify]: Extracting #6: cost 19 inf + 81064 10.315 * * [simplify]: Extracting #7: cost 0 inf + 94833 10.346 * * [simplify]: Extracting #8: cost 0 inf + 93433 10.366 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 10.366 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 10.366 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 10.366 * * [simplify]: iters left: 6 (10 enodes) 10.369 * * [simplify]: iters left: 5 (42 enodes) 10.378 * * [simplify]: iters left: 4 (65 enodes) 10.399 * * [simplify]: iters left: 3 (104 enodes) 10.437 * * [simplify]: iters left: 2 (206 enodes) 10.516 * * [simplify]: iters left: 1 (435 enodes) 10.669 * * [simplify]: Extracting #0: cost 1 inf + 0 10.670 * * [simplify]: Extracting #1: cost 47 inf + 0 10.670 * * [simplify]: Extracting #2: cost 137 inf + 0 10.671 * * [simplify]: Extracting #3: cost 210 inf + 45 10.672 * * [simplify]: Extracting #4: cost 204 inf + 1134 10.674 * * [simplify]: Extracting #5: cost 148 inf + 9351 10.681 * * [simplify]: Extracting #6: cost 67 inf + 53607 10.696 * * [simplify]: Extracting #7: cost 1 inf + 112920 10.720 * * [simplify]: Extracting #8: cost 0 inf + 111430 10.744 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 10.744 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 10.744 * * * * [progress]: [ 85 / 133 ] simplifiying candidate # 10.745 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 10.745 * * [simplify]: iters left: 6 (16 enodes) 10.751 * * [simplify]: iters left: 5 (69 enodes) 10.763 * * [simplify]: iters left: 4 (117 enodes) 10.791 * * [simplify]: iters left: 3 (164 enodes) 10.841 * * [simplify]: iters left: 2 (236 enodes) 10.924 * * [simplify]: iters left: 1 (387 enodes) 11.093 * * [simplify]: Extracting #0: cost 1 inf + 0 11.093 * * [simplify]: Extracting #1: cost 11 inf + 0 11.093 * * [simplify]: Extracting #2: cost 22 inf + 0 11.093 * * [simplify]: Extracting #3: cost 48 inf + 0 11.094 * * [simplify]: Extracting #4: cost 120 inf + 2 11.094 * * [simplify]: Extracting #5: cost 150 inf + 787 11.096 * * [simplify]: Extracting #6: cost 110 inf + 5219 11.100 * * [simplify]: Extracting #7: cost 48 inf + 27777 11.111 * * [simplify]: Extracting #8: cost 12 inf + 58840 11.121 * * [simplify]: Extracting #9: cost 0 inf + 68408 11.133 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 11.134 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 11.134 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 11.134 * * [simplify]: iters left: 6 (14 enodes) 11.142 * * [simplify]: iters left: 5 (57 enodes) 11.161 * * [simplify]: iters left: 4 (90 enodes) 11.182 * * [simplify]: iters left: 3 (127 enodes) 11.203 * * [simplify]: iters left: 2 (195 enodes) 11.270 * * [simplify]: iters left: 1 (356 enodes) 11.402 * * [simplify]: Extracting #0: cost 1 inf + 0 11.402 * * [simplify]: Extracting #1: cost 4 inf + 0 11.402 * * [simplify]: Extracting #2: cost 8 inf + 0 11.402 * * [simplify]: Extracting #3: cost 34 inf + 0 11.406 * * [simplify]: Extracting #4: cost 107 inf + 164 11.407 * * [simplify]: Extracting #5: cost 148 inf + 585 11.408 * * [simplify]: Extracting #6: cost 109 inf + 5352 11.412 * * [simplify]: Extracting #7: cost 45 inf + 27047 11.422 * * [simplify]: Extracting #8: cost 6 inf + 58672 11.442 * * [simplify]: Extracting #9: cost 0 inf + 62696 11.464 * * [simplify]: Extracting #10: cost 0 inf + 62192 11.485 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 11.485 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 11.485 * * * * [progress]: [ 86 / 133 ] simplifiying candidate # 11.486 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) 11.486 * * [simplify]: iters left: 6 (16 enodes) 11.495 * * [simplify]: iters left: 5 (66 enodes) 11.507 * * [simplify]: iters left: 4 (103 enodes) 11.525 * * [simplify]: iters left: 3 (142 enodes) 11.548 * * [simplify]: iters left: 2 (210 enodes) 11.586 * * [simplify]: iters left: 1 (370 enodes) 11.687 * * [simplify]: Extracting #0: cost 1 inf + 0 11.687 * * [simplify]: Extracting #1: cost 7 inf + 0 11.687 * * [simplify]: Extracting #2: cost 15 inf + 0 11.687 * * [simplify]: Extracting #3: cost 43 inf + 0 11.687 * * [simplify]: Extracting #4: cost 113 inf + 204 11.688 * * [simplify]: Extracting #5: cost 145 inf + 907 11.689 * * [simplify]: Extracting #6: cost 114 inf + 4465 11.693 * * [simplify]: Extracting #7: cost 52 inf + 23940 11.701 * * [simplify]: Extracting #8: cost 13 inf + 52482 11.710 * * [simplify]: Extracting #9: cost 0 inf + 63276 11.720 * * [simplify]: Extracting #10: cost 0 inf + 62983 11.730 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) 11.730 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 11.730 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 11.730 * * [simplify]: iters left: 6 (14 enodes) 11.738 * * [simplify]: iters left: 5 (57 enodes) 11.761 * * [simplify]: iters left: 4 (90 enodes) 11.790 * * [simplify]: iters left: 3 (127 enodes) 11.830 * * [simplify]: iters left: 2 (195 enodes) 11.900 * * [simplify]: iters left: 1 (356 enodes) 12.018 * * [simplify]: Extracting #0: cost 1 inf + 0 12.018 * * [simplify]: Extracting #1: cost 4 inf + 0 12.018 * * [simplify]: Extracting #2: cost 8 inf + 0 12.018 * * [simplify]: Extracting #3: cost 34 inf + 0 12.019 * * [simplify]: Extracting #4: cost 107 inf + 204 12.019 * * [simplify]: Extracting #5: cost 148 inf + 665 12.021 * * [simplify]: Extracting #6: cost 109 inf + 5432 12.025 * * [simplify]: Extracting #7: cost 45 inf + 27127 12.042 * * [simplify]: Extracting #8: cost 6 inf + 58752 12.053 * * [simplify]: Extracting #9: cost 0 inf + 62776 12.067 * * [simplify]: Extracting #10: cost 0 inf + 62272 12.080 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 12.080 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 12.080 * * * * [progress]: [ 87 / 133 ] simplifiying candidate # 12.080 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 12.080 * * [simplify]: iters left: 6 (15 enodes) 12.084 * * [simplify]: iters left: 5 (62 enodes) 12.095 * * [simplify]: iters left: 4 (99 enodes) 12.117 * * [simplify]: iters left: 3 (142 enodes) 12.159 * * [simplify]: iters left: 2 (215 enodes) 12.210 * * [simplify]: iters left: 1 (364 enodes) 12.335 * * [simplify]: Extracting #0: cost 1 inf + 0 12.335 * * [simplify]: Extracting #1: cost 7 inf + 0 12.335 * * [simplify]: Extracting #2: cost 14 inf + 0 12.335 * * [simplify]: Extracting #3: cost 41 inf + 0 12.336 * * [simplify]: Extracting #4: cost 107 inf + 165 12.337 * * [simplify]: Extracting #5: cost 134 inf + 713 12.341 * * [simplify]: Extracting #6: cost 89 inf + 7533 12.355 * * [simplify]: Extracting #7: cost 28 inf + 38261 12.372 * * [simplify]: Extracting #8: cost 0 inf + 60484 12.389 * * [simplify]: Extracting #9: cost 0 inf + 60062 12.398 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 12.399 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 12.399 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 12.399 * * [simplify]: iters left: 6 (14 enodes) 12.403 * * [simplify]: iters left: 5 (57 enodes) 12.413 * * [simplify]: iters left: 4 (90 enodes) 12.435 * * [simplify]: iters left: 3 (127 enodes) 12.478 * * [simplify]: iters left: 2 (195 enodes) 12.527 * * [simplify]: iters left: 1 (356 enodes) 12.679 * * [simplify]: Extracting #0: cost 1 inf + 0 12.679 * * [simplify]: Extracting #1: cost 4 inf + 0 12.679 * * [simplify]: Extracting #2: cost 8 inf + 0 12.679 * * [simplify]: Extracting #3: cost 34 inf + 0 12.680 * * [simplify]: Extracting #4: cost 107 inf + 124 12.680 * * [simplify]: Extracting #5: cost 148 inf + 505 12.682 * * [simplify]: Extracting #6: cost 109 inf + 5272 12.686 * * [simplify]: Extracting #7: cost 45 inf + 26887 12.695 * * [simplify]: Extracting #8: cost 6 inf + 58512 12.710 * * [simplify]: Extracting #9: cost 0 inf + 62536 12.731 * * [simplify]: Extracting #10: cost 0 inf + 62032 12.752 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 12.752 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 12.753 * * * * [progress]: [ 88 / 133 ] simplifiying candidate # 12.753 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 12.753 * * [simplify]: iters left: 6 (14 enodes) 12.762 * * [simplify]: iters left: 5 (59 enodes) 12.781 * * [simplify]: iters left: 4 (96 enodes) 12.813 * * [simplify]: iters left: 3 (136 enodes) 12.837 * * [simplify]: iters left: 2 (205 enodes) 12.874 * * [simplify]: iters left: 1 (370 enodes) 13.008 * * [simplify]: Extracting #0: cost 1 inf + 0 13.008 * * [simplify]: Extracting #1: cost 5 inf + 0 13.008 * * [simplify]: Extracting #2: cost 7 inf + 1 13.009 * * [simplify]: Extracting #3: cost 31 inf + 1 13.009 * * [simplify]: Extracting #4: cost 103 inf + 2 13.010 * * [simplify]: Extracting #5: cost 150 inf + 218 13.012 * * [simplify]: Extracting #6: cost 149 inf + 478 13.015 * * [simplify]: Extracting #7: cost 93 inf + 8914 13.031 * * [simplify]: Extracting #8: cost 27 inf + 33526 13.049 * * [simplify]: Extracting #9: cost 0 inf + 51357 13.063 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 13.063 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 13.063 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 13.063 * * [simplify]: iters left: 6 (13 enodes) 13.067 * * [simplify]: iters left: 5 (54 enodes) 13.079 * * [simplify]: iters left: 4 (87 enodes) 13.111 * * [simplify]: iters left: 3 (128 enodes) 13.141 * * [simplify]: iters left: 2 (197 enodes) 13.176 * * [simplify]: iters left: 1 (354 enodes) 13.304 * * [simplify]: Extracting #0: cost 1 inf + 0 13.304 * * [simplify]: Extracting #1: cost 4 inf + 0 13.305 * * [simplify]: Extracting #2: cost 8 inf + 0 13.305 * * [simplify]: Extracting #3: cost 28 inf + 83 13.305 * * [simplify]: Extracting #4: cost 105 inf + 84 13.306 * * [simplify]: Extracting #5: cost 139 inf + 384 13.309 * * [simplify]: Extracting #6: cost 103 inf + 5239 13.315 * * [simplify]: Extracting #7: cost 50 inf + 20824 13.329 * * [simplify]: Extracting #8: cost 15 inf + 47877 13.341 * * [simplify]: Extracting #9: cost 0 inf + 59693 13.350 * * [simplify]: Extracting #10: cost 0 inf + 59363 13.359 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 13.359 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 13.360 * * * * [progress]: [ 89 / 133 ] simplifiying candidate # 13.360 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 13.360 * * [simplify]: iters left: 6 (15 enodes) 13.365 * * [simplify]: iters left: 5 (62 enodes) 13.389 * * [simplify]: iters left: 4 (99 enodes) 13.421 * * [simplify]: iters left: 3 (142 enodes) 13.444 * * [simplify]: iters left: 2 (215 enodes) 13.484 * * [simplify]: iters left: 1 (364 enodes) 13.629 * * [simplify]: Extracting #0: cost 1 inf + 0 13.629 * * [simplify]: Extracting #1: cost 7 inf + 0 13.629 * * [simplify]: Extracting #2: cost 14 inf + 0 13.629 * * [simplify]: Extracting #3: cost 41 inf + 0 13.629 * * [simplify]: Extracting #4: cost 107 inf + 165 13.630 * * [simplify]: Extracting #5: cost 134 inf + 713 13.632 * * [simplify]: Extracting #6: cost 89 inf + 7533 13.637 * * [simplify]: Extracting #7: cost 28 inf + 38261 13.649 * * [simplify]: Extracting #8: cost 0 inf + 60484 13.667 * * [simplify]: Extracting #9: cost 0 inf + 60062 13.688 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 13.688 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 13.689 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 13.689 * * [simplify]: iters left: 6 (14 enodes) 13.697 * * [simplify]: iters left: 5 (57 enodes) 13.716 * * [simplify]: iters left: 4 (90 enodes) 13.736 * * [simplify]: iters left: 3 (127 enodes) 13.757 * * [simplify]: iters left: 2 (195 enodes) 13.796 * * [simplify]: iters left: 1 (356 enodes) 13.893 * * [simplify]: Extracting #0: cost 1 inf + 0 13.893 * * [simplify]: Extracting #1: cost 4 inf + 0 13.893 * * [simplify]: Extracting #2: cost 8 inf + 0 13.893 * * [simplify]: Extracting #3: cost 34 inf + 0 13.894 * * [simplify]: Extracting #4: cost 107 inf + 124 13.894 * * [simplify]: Extracting #5: cost 148 inf + 505 13.896 * * [simplify]: Extracting #6: cost 109 inf + 5272 13.900 * * [simplify]: Extracting #7: cost 45 inf + 26887 13.912 * * [simplify]: Extracting #8: cost 6 inf + 58512 13.923 * * [simplify]: Extracting #9: cost 0 inf + 62536 13.933 * * [simplify]: Extracting #10: cost 0 inf + 62032 13.945 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 13.945 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 13.945 * * * * [progress]: [ 90 / 133 ] simplifiying candidate # 13.945 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 13.945 * * [simplify]: iters left: 6 (13 enodes) 13.949 * * [simplify]: iters left: 5 (54 enodes) 13.963 * * [simplify]: iters left: 4 (95 enodes) 13.978 * * [simplify]: iters left: 3 (137 enodes) 14.010 * * [simplify]: iters left: 2 (206 enodes) 14.073 * * [simplify]: iters left: 1 (362 enodes) 14.200 * * [simplify]: Extracting #0: cost 1 inf + 0 14.200 * * [simplify]: Extracting #1: cost 5 inf + 0 14.200 * * [simplify]: Extracting #2: cost 7 inf + 1 14.200 * * [simplify]: Extracting #3: cost 32 inf + 1 14.201 * * [simplify]: Extracting #4: cost 110 inf + 2 14.201 * * [simplify]: Extracting #5: cost 158 inf + 176 14.202 * * [simplify]: Extracting #6: cost 151 inf + 644 14.205 * * [simplify]: Extracting #7: cost 91 inf + 10513 14.211 * * [simplify]: Extracting #8: cost 37 inf + 29756 14.232 * * [simplify]: Extracting #9: cost 0 inf + 59764 14.244 * * [simplify]: Extracting #10: cost 0 inf + 58856 14.255 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 14.255 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 14.256 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 14.256 * * [simplify]: iters left: 6 (13 enodes) 14.260 * * [simplify]: iters left: 5 (54 enodes) 14.270 * * [simplify]: iters left: 4 (87 enodes) 14.284 * * [simplify]: iters left: 3 (128 enodes) 14.308 * * [simplify]: iters left: 2 (197 enodes) 14.358 * * [simplify]: iters left: 1 (354 enodes) 14.495 * * [simplify]: Extracting #0: cost 1 inf + 0 14.495 * * [simplify]: Extracting #1: cost 4 inf + 0 14.495 * * [simplify]: Extracting #2: cost 8 inf + 0 14.495 * * [simplify]: Extracting #3: cost 28 inf + 83 14.496 * * [simplify]: Extracting #4: cost 105 inf + 84 14.496 * * [simplify]: Extracting #5: cost 139 inf + 384 14.497 * * [simplify]: Extracting #6: cost 103 inf + 5239 14.501 * * [simplify]: Extracting #7: cost 50 inf + 20824 14.511 * * [simplify]: Extracting #8: cost 15 inf + 47877 14.526 * * [simplify]: Extracting #9: cost 0 inf + 59693 14.540 * * [simplify]: Extracting #10: cost 0 inf + 59363 14.550 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 14.550 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 14.550 * * * * [progress]: [ 91 / 133 ] simplifiying candidate # 14.550 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 14.550 * * [simplify]: iters left: 6 (15 enodes) 14.555 * * [simplify]: iters left: 5 (62 enodes) 14.566 * * [simplify]: iters left: 4 (98 enodes) 14.600 * * [simplify]: iters left: 3 (134 enodes) 14.623 * * [simplify]: iters left: 2 (202 enodes) 14.668 * * [simplify]: iters left: 1 (362 enodes) 14.797 * * [simplify]: Extracting #0: cost 1 inf + 0 14.797 * * [simplify]: Extracting #1: cost 6 inf + 0 14.797 * * [simplify]: Extracting #2: cost 13 inf + 0 14.797 * * [simplify]: Extracting #3: cost 43 inf + 0 14.798 * * [simplify]: Extracting #4: cost 120 inf + 285 14.798 * * [simplify]: Extracting #5: cost 141 inf + 1984 14.802 * * [simplify]: Extracting #6: cost 72 inf + 21416 14.809 * * [simplify]: Extracting #7: cost 23 inf + 42391 14.825 * * [simplify]: Extracting #8: cost 0 inf + 61728 14.843 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 14.843 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 14.844 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 14.844 * * [simplify]: iters left: 6 (14 enodes) 14.851 * * [simplify]: iters left: 5 (57 enodes) 14.867 * * [simplify]: iters left: 4 (91 enodes) 14.885 * * [simplify]: iters left: 3 (127 enodes) 14.915 * * [simplify]: iters left: 2 (195 enodes) 14.960 * * [simplify]: iters left: 1 (354 enodes) 15.084 * * [simplify]: Extracting #0: cost 1 inf + 0 15.084 * * [simplify]: Extracting #1: cost 4 inf + 0 15.084 * * [simplify]: Extracting #2: cost 9 inf + 0 15.084 * * [simplify]: Extracting #3: cost 36 inf + 0 15.085 * * [simplify]: Extracting #4: cost 113 inf + 205 15.086 * * [simplify]: Extracting #5: cost 131 inf + 2415 15.091 * * [simplify]: Extracting #6: cost 45 inf + 33802 15.102 * * [simplify]: Extracting #7: cost 2 inf + 54796 15.121 * * [simplify]: Extracting #8: cost 0 inf + 53175 15.138 * * [simplify]: Extracting #9: cost 0 inf + 52741 15.155 * * [simplify]: Extracting #10: cost 0 inf + 52079 15.181 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 15.181 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 15.181 * * * * [progress]: [ 92 / 133 ] simplifiying candidate # 15.182 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) 15.182 * * [simplify]: iters left: 6 (15 enodes) 15.190 * * [simplify]: iters left: 5 (61 enodes) 15.200 * * [simplify]: iters left: 4 (95 enodes) 15.214 * * [simplify]: iters left: 3 (131 enodes) 15.251 * * [simplify]: iters left: 2 (199 enodes) 15.301 * * [simplify]: iters left: 1 (362 enodes) 15.427 * * [simplify]: Extracting #0: cost 1 inf + 0 15.427 * * [simplify]: Extracting #1: cost 4 inf + 0 15.427 * * [simplify]: Extracting #2: cost 10 inf + 0 15.427 * * [simplify]: Extracting #3: cost 41 inf + 0 15.428 * * [simplify]: Extracting #4: cost 124 inf + 325 15.430 * * [simplify]: Extracting #5: cost 146 inf + 2066 15.434 * * [simplify]: Extracting #6: cost 94 inf + 10304 15.452 * * [simplify]: Extracting #7: cost 23 inf + 47402 15.472 * * [simplify]: Extracting #8: cost 0 inf + 67276 15.491 * * [simplify]: Extracting #9: cost 0 inf + 66421 15.511 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) 15.511 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 15.512 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 15.512 * * [simplify]: iters left: 6 (14 enodes) 15.520 * * [simplify]: iters left: 5 (57 enodes) 15.539 * * [simplify]: iters left: 4 (91 enodes) 15.566 * * [simplify]: iters left: 3 (127 enodes) 15.609 * * [simplify]: iters left: 2 (195 enodes) 15.668 * * [simplify]: iters left: 1 (354 enodes) 15.806 * * [simplify]: Extracting #0: cost 1 inf + 0 15.806 * * [simplify]: Extracting #1: cost 4 inf + 0 15.806 * * [simplify]: Extracting #2: cost 9 inf + 0 15.806 * * [simplify]: Extracting #3: cost 36 inf + 0 15.807 * * [simplify]: Extracting #4: cost 113 inf + 285 15.808 * * [simplify]: Extracting #5: cost 131 inf + 2495 15.816 * * [simplify]: Extracting #6: cost 45 inf + 33882 15.828 * * [simplify]: Extracting #7: cost 2 inf + 54876 15.841 * * [simplify]: Extracting #8: cost 0 inf + 53255 15.869 * * [simplify]: Extracting #9: cost 0 inf + 52821 15.897 * * [simplify]: Extracting #10: cost 0 inf + 52159 15.926 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 15.926 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 15.926 * * * * [progress]: [ 93 / 133 ] simplifiying candidate # 15.927 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 15.927 * * [simplify]: iters left: 6 (14 enodes) 15.934 * * [simplify]: iters left: 5 (57 enodes) 15.953 * * [simplify]: iters left: 4 (91 enodes) 15.978 * * [simplify]: iters left: 3 (127 enodes) 15.998 * * [simplify]: iters left: 2 (195 enodes) 16.040 * * [simplify]: iters left: 1 (354 enodes) 16.187 * * [simplify]: Extracting #0: cost 1 inf + 0 16.187 * * [simplify]: Extracting #1: cost 4 inf + 0 16.187 * * [simplify]: Extracting #2: cost 9 inf + 0 16.187 * * [simplify]: Extracting #3: cost 36 inf + 0 16.188 * * [simplify]: Extracting #4: cost 113 inf + 165 16.189 * * [simplify]: Extracting #5: cost 131 inf + 2335 16.199 * * [simplify]: Extracting #6: cost 45 inf + 33642 16.221 * * [simplify]: Extracting #7: cost 2 inf + 54636 16.248 * * [simplify]: Extracting #8: cost 0 inf + 53015 16.264 * * [simplify]: Extracting #9: cost 0 inf + 52581 16.281 * * [simplify]: Extracting #10: cost 0 inf + 51919 16.296 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.296 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 16.296 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.297 * * [simplify]: iters left: 6 (14 enodes) 16.301 * * [simplify]: iters left: 5 (57 enodes) 16.313 * * [simplify]: iters left: 4 (91 enodes) 16.338 * * [simplify]: iters left: 3 (127 enodes) 16.358 * * [simplify]: iters left: 2 (195 enodes) 16.427 * * [simplify]: iters left: 1 (354 enodes) 16.582 * * [simplify]: Extracting #0: cost 1 inf + 0 16.582 * * [simplify]: Extracting #1: cost 4 inf + 0 16.582 * * [simplify]: Extracting #2: cost 9 inf + 0 16.583 * * [simplify]: Extracting #3: cost 36 inf + 0 16.583 * * [simplify]: Extracting #4: cost 113 inf + 165 16.585 * * [simplify]: Extracting #5: cost 131 inf + 2335 16.594 * * [simplify]: Extracting #6: cost 45 inf + 33642 16.620 * * [simplify]: Extracting #7: cost 2 inf + 54636 16.641 * * [simplify]: Extracting #8: cost 0 inf + 53015 16.655 * * [simplify]: Extracting #9: cost 0 inf + 52581 16.670 * * [simplify]: Extracting #10: cost 0 inf + 51919 16.684 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.685 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 16.685 * * * * [progress]: [ 94 / 133 ] simplifiying candidate # 16.685 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 16.685 * * [simplify]: iters left: 6 (13 enodes) 16.689 * * [simplify]: iters left: 5 (54 enodes) 16.698 * * [simplify]: iters left: 4 (88 enodes) 16.721 * * [simplify]: iters left: 3 (127 enodes) 16.762 * * [simplify]: iters left: 2 (196 enodes) 16.834 * * [simplify]: iters left: 1 (362 enodes) 16.980 * * [simplify]: Extracting #0: cost 1 inf + 0 16.980 * * [simplify]: Extracting #1: cost 5 inf + 0 16.980 * * [simplify]: Extracting #2: cost 27 inf + 1 16.980 * * [simplify]: Extracting #3: cost 103 inf + 2 16.981 * * [simplify]: Extracting #4: cost 147 inf + 177 16.982 * * [simplify]: Extracting #5: cost 138 inf + 686 16.983 * * [simplify]: Extracting #6: cost 90 inf + 5192 16.988 * * [simplify]: Extracting #7: cost 29 inf + 34526 16.996 * * [simplify]: Extracting #8: cost 3 inf + 53567 17.005 * * [simplify]: Extracting #9: cost 0 inf + 55996 17.023 * * [simplify]: Extracting #10: cost 0 inf + 55520 17.038 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 17.039 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 17.039 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 17.039 * * [simplify]: iters left: 6 (13 enodes) 17.043 * * [simplify]: iters left: 5 (54 enodes) 17.053 * * [simplify]: iters left: 4 (88 enodes) 17.069 * * [simplify]: iters left: 3 (125 enodes) 17.095 * * [simplify]: iters left: 2 (193 enodes) 17.130 * * [simplify]: iters left: 1 (356 enodes) 17.258 * * [simplify]: Extracting #0: cost 1 inf + 0 17.258 * * [simplify]: Extracting #1: cost 4 inf + 0 17.258 * * [simplify]: Extracting #2: cost 9 inf + 0 17.258 * * [simplify]: Extracting #3: cost 32 inf + 1 17.259 * * [simplify]: Extracting #4: cost 105 inf + 84 17.260 * * [simplify]: Extracting #5: cost 125 inf + 1632 17.266 * * [simplify]: Extracting #6: cost 73 inf + 13139 17.283 * * [simplify]: Extracting #7: cost 9 inf + 42244 17.308 * * [simplify]: Extracting #8: cost 0 inf + 47700 17.335 * * [simplify]: Extracting #9: cost 0 inf + 47090 17.348 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 17.348 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 17.348 * * * * [progress]: [ 95 / 133 ] simplifiying candidate # 17.348 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.349 * * [simplify]: iters left: 6 (14 enodes) 17.355 * * [simplify]: iters left: 5 (57 enodes) 17.364 * * [simplify]: iters left: 4 (91 enodes) 17.389 * * [simplify]: iters left: 3 (127 enodes) 17.429 * * [simplify]: iters left: 2 (195 enodes) 17.503 * * [simplify]: iters left: 1 (354 enodes) 17.658 * * [simplify]: Extracting #0: cost 1 inf + 0 17.658 * * [simplify]: Extracting #1: cost 4 inf + 0 17.658 * * [simplify]: Extracting #2: cost 9 inf + 0 17.658 * * [simplify]: Extracting #3: cost 36 inf + 0 17.659 * * [simplify]: Extracting #4: cost 113 inf + 165 17.660 * * [simplify]: Extracting #5: cost 131 inf + 2335 17.669 * * [simplify]: Extracting #6: cost 45 inf + 33642 17.692 * * [simplify]: Extracting #7: cost 2 inf + 54636 17.722 * * [simplify]: Extracting #8: cost 0 inf + 53015 17.748 * * [simplify]: Extracting #9: cost 0 inf + 52581 17.763 * * [simplify]: Extracting #10: cost 0 inf + 51919 17.777 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.778 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 17.778 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.778 * * [simplify]: iters left: 6 (14 enodes) 17.785 * * [simplify]: iters left: 5 (57 enodes) 17.803 * * [simplify]: iters left: 4 (91 enodes) 17.830 * * [simplify]: iters left: 3 (127 enodes) 17.871 * * [simplify]: iters left: 2 (195 enodes) 17.922 * * [simplify]: iters left: 1 (354 enodes) 18.086 * * [simplify]: Extracting #0: cost 1 inf + 0 18.086 * * [simplify]: Extracting #1: cost 4 inf + 0 18.086 * * [simplify]: Extracting #2: cost 9 inf + 0 18.086 * * [simplify]: Extracting #3: cost 36 inf + 0 18.086 * * [simplify]: Extracting #4: cost 113 inf + 165 18.087 * * [simplify]: Extracting #5: cost 131 inf + 2335 18.092 * * [simplify]: Extracting #6: cost 45 inf + 33642 18.107 * * [simplify]: Extracting #7: cost 2 inf + 54636 18.132 * * [simplify]: Extracting #8: cost 0 inf + 53015 18.147 * * [simplify]: Extracting #9: cost 0 inf + 52581 18.162 * * [simplify]: Extracting #10: cost 0 inf + 51919 18.189 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.189 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 18.189 * * * * [progress]: [ 96 / 133 ] simplifiying candidate # 18.190 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 18.190 * * [simplify]: iters left: 6 (12 enodes) 18.196 * * [simplify]: iters left: 5 (49 enodes) 18.213 * * [simplify]: iters left: 4 (83 enodes) 18.241 * * [simplify]: iters left: 3 (124 enodes) 18.281 * * [simplify]: iters left: 2 (197 enodes) 18.351 * * [simplify]: iters left: 1 (352 enodes) 18.496 * * [simplify]: Extracting #0: cost 1 inf + 0 18.496 * * [simplify]: Extracting #1: cost 5 inf + 0 18.496 * * [simplify]: Extracting #2: cost 27 inf + 1 18.497 * * [simplify]: Extracting #3: cost 107 inf + 2 18.498 * * [simplify]: Extracting #4: cost 136 inf + 177 18.499 * * [simplify]: Extracting #5: cost 129 inf + 724 18.503 * * [simplify]: Extracting #6: cost 68 inf + 10028 18.514 * * [simplify]: Extracting #7: cost 27 inf + 32706 18.531 * * [simplify]: Extracting #8: cost 0 inf + 57385 18.549 * * [simplify]: Extracting #9: cost 0 inf + 56670 18.567 * * [simplify]: Extracting #10: cost 0 inf + 56408 18.588 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 18.588 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 18.589 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 18.589 * * [simplify]: iters left: 6 (13 enodes) 18.596 * * [simplify]: iters left: 5 (54 enodes) 18.614 * * [simplify]: iters left: 4 (88 enodes) 18.642 * * [simplify]: iters left: 3 (125 enodes) 18.681 * * [simplify]: iters left: 2 (193 enodes) 18.734 * * [simplify]: iters left: 1 (356 enodes) 18.897 * * [simplify]: Extracting #0: cost 1 inf + 0 18.897 * * [simplify]: Extracting #1: cost 4 inf + 0 18.897 * * [simplify]: Extracting #2: cost 9 inf + 0 18.897 * * [simplify]: Extracting #3: cost 32 inf + 1 18.898 * * [simplify]: Extracting #4: cost 105 inf + 84 18.899 * * [simplify]: Extracting #5: cost 125 inf + 1632 18.905 * * [simplify]: Extracting #6: cost 73 inf + 13139 18.922 * * [simplify]: Extracting #7: cost 9 inf + 42244 18.951 * * [simplify]: Extracting #8: cost 0 inf + 47700 18.968 * * [simplify]: Extracting #9: cost 0 inf + 47090 18.982 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 18.982 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 18.982 * * * * [progress]: [ 97 / 133 ] simplifiying candidate # 18.982 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 18.983 * * [simplify]: iters left: 6 (6 enodes) 18.984 * * [simplify]: iters left: 5 (22 enodes) 18.989 * * [simplify]: iters left: 4 (26 enodes) 18.996 * * [simplify]: Extracting #0: cost 1 inf + 0 18.996 * * [simplify]: Extracting #1: cost 6 inf + 0 18.996 * * [simplify]: Extracting #2: cost 9 inf + 1 18.996 * * [simplify]: Extracting #3: cost 11 inf + 1 18.997 * * [simplify]: Extracting #4: cost 8 inf + 84 18.997 * * [simplify]: Extracting #5: cost 2 inf + 1013 18.997 * * [simplify]: Extracting #6: cost 0 inf + 1376 18.998 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 18.998 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 18.998 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 18.998 * * [simplify]: iters left: 6 (13 enodes) 19.005 * * [simplify]: iters left: 5 (54 enodes) 19.023 * * [simplify]: iters left: 4 (89 enodes) 19.051 * * [simplify]: iters left: 3 (136 enodes) 19.075 * * [simplify]: iters left: 2 (221 enodes) 19.128 * * [simplify]: iters left: 1 (444 enodes) 19.301 * * [simplify]: Extracting #0: cost 1 inf + 0 19.301 * * [simplify]: Extracting #1: cost 51 inf + 0 19.302 * * [simplify]: Extracting #2: cost 141 inf + 0 19.302 * * [simplify]: Extracting #3: cost 217 inf + 3 19.304 * * [simplify]: Extracting #4: cost 206 inf + 1256 19.315 * * [simplify]: Extracting #5: cost 128 inf + 22660 19.343 * * [simplify]: Extracting #6: cost 23 inf + 103572 19.380 * * [simplify]: Extracting #7: cost 0 inf + 122695 19.418 * * [simplify]: Extracting #8: cost 0 inf + 120000 19.456 * * [simplify]: Extracting #9: cost 0 inf + 119244 19.493 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 19.493 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 19.494 * * * * [progress]: [ 98 / 133 ] simplifiying candidate # 19.494 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 19.494 * * [simplify]: iters left: 6 (6 enodes) 19.497 * * [simplify]: iters left: 5 (21 enodes) 19.504 * * [simplify]: iters left: 4 (23 enodes) 19.510 * * [simplify]: Extracting #0: cost 1 inf + 0 19.511 * * [simplify]: Extracting #1: cost 4 inf + 0 19.511 * * [simplify]: Extracting #2: cost 6 inf + 1 19.511 * * [simplify]: Extracting #3: cost 9 inf + 1 19.511 * * [simplify]: Extracting #4: cost 8 inf + 2 19.511 * * [simplify]: Extracting #5: cost 1 inf + 810 19.511 * * [simplify]: Extracting #6: cost 0 inf + 972 19.511 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 19.511 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 19.512 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 19.512 * * [simplify]: iters left: 6 (13 enodes) 19.519 * * [simplify]: iters left: 5 (54 enodes) 19.537 * * [simplify]: iters left: 4 (89 enodes) 19.552 * * [simplify]: iters left: 3 (136 enodes) 19.574 * * [simplify]: iters left: 2 (221 enodes) 19.633 * * [simplify]: iters left: 1 (444 enodes) 19.832 * * [simplify]: Extracting #0: cost 1 inf + 0 19.832 * * [simplify]: Extracting #1: cost 51 inf + 0 19.833 * * [simplify]: Extracting #2: cost 141 inf + 0 19.833 * * [simplify]: Extracting #3: cost 217 inf + 3 19.835 * * [simplify]: Extracting #4: cost 206 inf + 1296 19.838 * * [simplify]: Extracting #5: cost 128 inf + 22740 19.852 * * [simplify]: Extracting #6: cost 23 inf + 103652 19.878 * * [simplify]: Extracting #7: cost 0 inf + 122775 19.915 * * [simplify]: Extracting #8: cost 0 inf + 120080 19.942 * * [simplify]: Extracting #9: cost 0 inf + 119324 19.961 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 19.961 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 19.961 * * * * [progress]: [ 99 / 133 ] simplifiying candidate # 19.961 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 19.961 * * [simplify]: iters left: 4 (5 enodes) 19.963 * * [simplify]: iters left: 3 (17 enodes) 19.968 * * [simplify]: iters left: 2 (19 enodes) 19.974 * * [simplify]: Extracting #0: cost 1 inf + 0 19.974 * * [simplify]: Extracting #1: cost 4 inf + 0 19.974 * * [simplify]: Extracting #2: cost 5 inf + 1 19.974 * * [simplify]: Extracting #3: cost 7 inf + 1 19.974 * * [simplify]: Extracting #4: cost 0 inf + 490 19.975 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.975 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 19.975 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 19.975 * * [simplify]: iters left: 6 (13 enodes) 19.982 * * [simplify]: iters left: 5 (54 enodes) 20.001 * * [simplify]: iters left: 4 (89 enodes) 20.016 * * [simplify]: iters left: 3 (136 enodes) 20.053 * * [simplify]: iters left: 2 (221 enodes) 20.139 * * [simplify]: iters left: 1 (444 enodes) 20.303 * * [simplify]: Extracting #0: cost 1 inf + 0 20.303 * * [simplify]: Extracting #1: cost 51 inf + 0 20.303 * * [simplify]: Extracting #2: cost 141 inf + 0 20.304 * * [simplify]: Extracting #3: cost 217 inf + 3 20.305 * * [simplify]: Extracting #4: cost 206 inf + 1176 20.310 * * [simplify]: Extracting #5: cost 128 inf + 22380 20.339 * * [simplify]: Extracting #6: cost 23 inf + 101172 20.377 * * [simplify]: Extracting #7: cost 0 inf + 119655 20.419 * * [simplify]: Extracting #8: cost 0 inf + 116960 20.455 * * [simplify]: Extracting #9: cost 0 inf + 116204 20.474 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 20.474 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 20.475 * * * * [progress]: [ 100 / 133 ] simplifiying candidate # 20.475 * [simplify]: Simplifying (/ 1 (sqrt 1)) 20.475 * * [simplify]: iters left: 3 (3 enodes) 20.478 * * [simplify]: iters left: 2 (11 enodes) 20.480 * * [simplify]: iters left: 1 (13 enodes) 20.482 * * [simplify]: Extracting #0: cost 1 inf + 0 20.482 * * [simplify]: Extracting #1: cost 0 inf + 1 20.482 * [simplify]: Simplified to 1 20.482 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 20.482 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 20.482 * * [simplify]: iters left: 6 (12 enodes) 20.489 * * [simplify]: iters left: 5 (51 enodes) 20.505 * * [simplify]: iters left: 4 (86 enodes) 20.532 * * [simplify]: iters left: 3 (133 enodes) 20.568 * * [simplify]: iters left: 2 (218 enodes) 20.625 * * [simplify]: iters left: 1 (444 enodes) 20.781 * * [simplify]: Extracting #0: cost 1 inf + 0 20.781 * * [simplify]: Extracting #1: cost 39 inf + 0 20.781 * * [simplify]: Extracting #2: cost 126 inf + 0 20.782 * * [simplify]: Extracting #3: cost 201 inf + 4 20.783 * * [simplify]: Extracting #4: cost 191 inf + 1382 20.786 * * [simplify]: Extracting #5: cost 133 inf + 10319 20.798 * * [simplify]: Extracting #6: cost 56 inf + 58095 20.812 * * [simplify]: Extracting #7: cost 0 inf + 104434 20.838 * * [simplify]: Extracting #8: cost 0 inf + 104433 20.869 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 20.869 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 20.869 * * * * [progress]: [ 101 / 133 ] simplifiying candidate # 20.869 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 20.869 * * [simplify]: iters left: 4 (5 enodes) 20.872 * * [simplify]: iters left: 3 (17 enodes) 20.877 * * [simplify]: iters left: 2 (19 enodes) 20.883 * * [simplify]: Extracting #0: cost 1 inf + 0 20.883 * * [simplify]: Extracting #1: cost 4 inf + 0 20.883 * * [simplify]: Extracting #2: cost 5 inf + 1 20.883 * * [simplify]: Extracting #3: cost 7 inf + 1 20.883 * * [simplify]: Extracting #4: cost 0 inf + 490 20.884 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 20.884 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 20.884 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 20.884 * * [simplify]: iters left: 6 (13 enodes) 20.891 * * [simplify]: iters left: 5 (54 enodes) 20.911 * * [simplify]: iters left: 4 (89 enodes) 20.941 * * [simplify]: iters left: 3 (136 enodes) 20.985 * * [simplify]: iters left: 2 (221 enodes) 21.043 * * [simplify]: iters left: 1 (444 enodes) 21.250 * * [simplify]: Extracting #0: cost 1 inf + 0 21.250 * * [simplify]: Extracting #1: cost 51 inf + 0 21.251 * * [simplify]: Extracting #2: cost 141 inf + 0 21.251 * * [simplify]: Extracting #3: cost 217 inf + 3 21.252 * * [simplify]: Extracting #4: cost 206 inf + 1176 21.256 * * [simplify]: Extracting #5: cost 128 inf + 22380 21.271 * * [simplify]: Extracting #6: cost 23 inf + 101172 21.289 * * [simplify]: Extracting #7: cost 0 inf + 119655 21.327 * * [simplify]: Extracting #8: cost 0 inf + 116960 21.367 * * [simplify]: Extracting #9: cost 0 inf + 116204 21.405 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 21.405 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 21.405 * * * * [progress]: [ 102 / 133 ] simplifiying candidate # 21.406 * [simplify]: Simplifying (/ 1 1) 21.406 * * [simplify]: iters left: 2 (2 enodes) 21.407 * * [simplify]: iters left: 1 (6 enodes) 21.409 * * [simplify]: Extracting #0: cost 1 inf + 0 21.410 * * [simplify]: Extracting #1: cost 0 inf + 1 21.410 * [simplify]: Simplified to 1 21.410 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 21.410 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 21.410 * * [simplify]: iters left: 6 (12 enodes) 21.417 * * [simplify]: iters left: 5 (51 enodes) 21.432 * * [simplify]: iters left: 4 (86 enodes) 21.447 * * [simplify]: iters left: 3 (133 enodes) 21.470 * * [simplify]: iters left: 2 (218 enodes) 21.550 * * [simplify]: iters left: 1 (444 enodes) 21.766 * * [simplify]: Extracting #0: cost 1 inf + 0 21.766 * * [simplify]: Extracting #1: cost 39 inf + 0 21.767 * * [simplify]: Extracting #2: cost 126 inf + 0 21.769 * * [simplify]: Extracting #3: cost 201 inf + 4 21.771 * * [simplify]: Extracting #4: cost 191 inf + 1382 21.775 * * [simplify]: Extracting #5: cost 133 inf + 10319 21.790 * * [simplify]: Extracting #6: cost 56 inf + 58095 21.824 * * [simplify]: Extracting #7: cost 0 inf + 104434 21.851 * * [simplify]: Extracting #8: cost 0 inf + 104433 21.867 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 21.867 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 21.867 * * * * [progress]: [ 103 / 133 ] simplifiying candidate # 21.867 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 21.867 * * [simplify]: iters left: 6 (15 enodes) 21.872 * * [simplify]: iters left: 5 (65 enodes) 21.883 * * [simplify]: iters left: 4 (109 enodes) 21.901 * * [simplify]: iters left: 3 (185 enodes) 21.968 * * [simplify]: iters left: 2 (368 enodes) 22.101 * * [simplify]: Extracting #0: cost 1 inf + 0 22.101 * * [simplify]: Extracting #1: cost 54 inf + 0 22.102 * * [simplify]: Extracting #2: cost 144 inf + 0 22.103 * * [simplify]: Extracting #3: cost 223 inf + 2 22.104 * * [simplify]: Extracting #4: cost 205 inf + 3811 22.108 * * [simplify]: Extracting #5: cost 131 inf + 29200 22.122 * * [simplify]: Extracting #6: cost 16 inf + 109445 22.158 * * [simplify]: Extracting #7: cost 0 inf + 122156 22.192 * * [simplify]: Extracting #8: cost 0 inf + 122025 22.224 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 22.224 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))))) 22.225 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))) 22.225 * * [simplify]: iters left: 6 (14 enodes) 22.233 * * [simplify]: iters left: 5 (60 enodes) 22.253 * * [simplify]: iters left: 4 (98 enodes) 22.284 * * [simplify]: iters left: 3 (157 enodes) 22.342 * * [simplify]: iters left: 2 (290 enodes) 22.417 * * [simplify]: Extracting #0: cost 1 inf + 0 22.417 * * [simplify]: Extracting #1: cost 30 inf + 0 22.417 * * [simplify]: Extracting #2: cost 72 inf + 0 22.417 * * [simplify]: Extracting #3: cost 138 inf + 2 22.418 * * [simplify]: Extracting #4: cost 143 inf + 890 22.420 * * [simplify]: Extracting #5: cost 80 inf + 17711 22.427 * * [simplify]: Extracting #6: cost 8 inf + 48515 22.436 * * [simplify]: Extracting #7: cost 0 inf + 53624 22.450 * * [simplify]: Extracting #8: cost 0 inf + 53424 22.467 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 22.467 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))))) 22.467 * * * * [progress]: [ 104 / 133 ] simplifiying candidate # 22.467 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) 22.467 * * [simplify]: iters left: 6 (15 enodes) 22.476 * * [simplify]: iters left: 5 (64 enodes) 22.491 * * [simplify]: iters left: 4 (102 enodes) 22.511 * * [simplify]: iters left: 3 (161 enodes) 22.560 * * [simplify]: iters left: 2 (288 enodes) 22.622 * * [simplify]: Extracting #0: cost 1 inf + 0 22.622 * * [simplify]: Extracting #1: cost 30 inf + 0 22.623 * * [simplify]: Extracting #2: cost 73 inf + 0 22.623 * * [simplify]: Extracting #3: cost 138 inf + 2 22.624 * * [simplify]: Extracting #4: cost 143 inf + 389 22.627 * * [simplify]: Extracting #5: cost 103 inf + 4729 22.635 * * [simplify]: Extracting #6: cost 27 inf + 38097 22.650 * * [simplify]: Extracting #7: cost 0 inf + 59534 22.665 * * [simplify]: Extracting #8: cost 0 inf + 59452 22.681 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 22.681 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))))) 22.681 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))) 22.681 * * [simplify]: iters left: 6 (14 enodes) 22.689 * * [simplify]: iters left: 5 (60 enodes) 22.708 * * [simplify]: iters left: 4 (98 enodes) 22.727 * * [simplify]: iters left: 3 (157 enodes) 22.767 * * [simplify]: iters left: 2 (290 enodes) 22.831 * * [simplify]: Extracting #0: cost 1 inf + 0 22.831 * * [simplify]: Extracting #1: cost 30 inf + 0 22.831 * * [simplify]: Extracting #2: cost 72 inf + 0 22.832 * * [simplify]: Extracting #3: cost 138 inf + 2 22.833 * * [simplify]: Extracting #4: cost 143 inf + 890 22.838 * * [simplify]: Extracting #5: cost 80 inf + 17791 22.851 * * [simplify]: Extracting #6: cost 8 inf + 48595 22.868 * * [simplify]: Extracting #7: cost 0 inf + 53704 22.885 * * [simplify]: Extracting #8: cost 0 inf + 53504 22.901 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 22.902 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))))) 22.902 * * * * [progress]: [ 105 / 133 ] simplifiying candidate # 22.902 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 22.902 * * [simplify]: iters left: 6 (14 enodes) 22.908 * * [simplify]: iters left: 5 (60 enodes) 22.919 * * [simplify]: iters left: 4 (98 enodes) 22.937 * * [simplify]: iters left: 3 (157 enodes) 22.967 * * [simplify]: iters left: 2 (290 enodes) 23.033 * * [simplify]: Extracting #0: cost 1 inf + 0 23.034 * * [simplify]: Extracting #1: cost 30 inf + 0 23.034 * * [simplify]: Extracting #2: cost 72 inf + 0 23.035 * * [simplify]: Extracting #3: cost 138 inf + 2 23.036 * * [simplify]: Extracting #4: cost 143 inf + 890 23.040 * * [simplify]: Extracting #5: cost 80 inf + 17431 23.046 * * [simplify]: Extracting #6: cost 8 inf + 47315 23.055 * * [simplify]: Extracting #7: cost 0 inf + 52144 23.063 * * [simplify]: Extracting #8: cost 0 inf + 51944 23.077 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 23.077 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 23.077 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 23.077 * * [simplify]: iters left: 6 (14 enodes) 23.085 * * [simplify]: iters left: 5 (60 enodes) 23.105 * * [simplify]: iters left: 4 (98 enodes) 23.122 * * [simplify]: iters left: 3 (157 enodes) 23.158 * * [simplify]: iters left: 2 (290 enodes) 23.244 * * [simplify]: Extracting #0: cost 1 inf + 0 23.245 * * [simplify]: Extracting #1: cost 30 inf + 0 23.245 * * [simplify]: Extracting #2: cost 72 inf + 0 23.245 * * [simplify]: Extracting #3: cost 138 inf + 2 23.246 * * [simplify]: Extracting #4: cost 143 inf + 890 23.249 * * [simplify]: Extracting #5: cost 80 inf + 17431 23.256 * * [simplify]: Extracting #6: cost 8 inf + 47315 23.264 * * [simplify]: Extracting #7: cost 0 inf + 52144 23.273 * * [simplify]: Extracting #8: cost 0 inf + 51944 23.288 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 23.288 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 23.288 * * * * [progress]: [ 106 / 133 ] simplifiying candidate # 23.288 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 23.288 * * [simplify]: iters left: 6 (13 enodes) 23.297 * * [simplify]: iters left: 5 (57 enodes) 23.320 * * [simplify]: iters left: 4 (93 enodes) 23.340 * * [simplify]: iters left: 3 (148 enodes) 23.368 * * [simplify]: iters left: 2 (271 enodes) 23.432 * * [simplify]: iters left: 1 (497 enodes) 23.663 * * [simplify]: Extracting #0: cost 1 inf + 0 23.663 * * [simplify]: Extracting #1: cost 54 inf + 0 23.663 * * [simplify]: Extracting #2: cost 165 inf + 2 23.664 * * [simplify]: Extracting #3: cost 238 inf + 220 23.666 * * [simplify]: Extracting #4: cost 231 inf + 855 23.669 * * [simplify]: Extracting #5: cost 139 inf + 14771 23.694 * * [simplify]: Extracting #6: cost 27 inf + 65033 23.734 * * [simplify]: Extracting #7: cost 0 inf + 84937 23.773 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 23.773 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 23.773 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 23.773 * * [simplify]: iters left: 6 (13 enodes) 23.781 * * [simplify]: iters left: 5 (57 enodes) 23.791 * * [simplify]: iters left: 4 (95 enodes) 23.809 * * [simplify]: iters left: 3 (154 enodes) 23.856 * * [simplify]: iters left: 2 (287 enodes) 23.932 * * [simplify]: Extracting #0: cost 1 inf + 0 23.932 * * [simplify]: Extracting #1: cost 30 inf + 0 23.933 * * [simplify]: Extracting #2: cost 73 inf + 0 23.933 * * [simplify]: Extracting #3: cost 136 inf + 3 23.935 * * [simplify]: Extracting #4: cost 130 inf + 1385 23.939 * * [simplify]: Extracting #5: cost 76 inf + 14535 23.951 * * [simplify]: Extracting #6: cost 5 inf + 50457 23.967 * * [simplify]: Extracting #7: cost 0 inf + 54374 23.978 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 23.978 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)))) 23.978 * * * * [progress]: [ 107 / 133 ] simplifiying candidate # 23.978 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 23.978 * * [simplify]: iters left: 6 (14 enodes) 23.983 * * [simplify]: iters left: 5 (60 enodes) 23.994 * * [simplify]: iters left: 4 (98 enodes) 24.020 * * [simplify]: iters left: 3 (157 enodes) 24.057 * * [simplify]: iters left: 2 (290 enodes) 24.141 * * [simplify]: Extracting #0: cost 1 inf + 0 24.141 * * [simplify]: Extracting #1: cost 30 inf + 0 24.142 * * [simplify]: Extracting #2: cost 72 inf + 0 24.143 * * [simplify]: Extracting #3: cost 138 inf + 2 24.144 * * [simplify]: Extracting #4: cost 143 inf + 890 24.149 * * [simplify]: Extracting #5: cost 80 inf + 17431 24.160 * * [simplify]: Extracting #6: cost 8 inf + 47315 24.169 * * [simplify]: Extracting #7: cost 0 inf + 52144 24.177 * * [simplify]: Extracting #8: cost 0 inf + 51944 24.186 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 24.186 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 24.186 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 24.186 * * [simplify]: iters left: 6 (14 enodes) 24.194 * * [simplify]: iters left: 5 (60 enodes) 24.213 * * [simplify]: iters left: 4 (98 enodes) 24.232 * * [simplify]: iters left: 3 (157 enodes) 24.275 * * [simplify]: iters left: 2 (290 enodes) 24.345 * * [simplify]: Extracting #0: cost 1 inf + 0 24.345 * * [simplify]: Extracting #1: cost 30 inf + 0 24.345 * * [simplify]: Extracting #2: cost 72 inf + 0 24.346 * * [simplify]: Extracting #3: cost 138 inf + 2 24.347 * * [simplify]: Extracting #4: cost 143 inf + 890 24.352 * * [simplify]: Extracting #5: cost 80 inf + 17431 24.360 * * [simplify]: Extracting #6: cost 8 inf + 47315 24.368 * * [simplify]: Extracting #7: cost 0 inf + 52144 24.376 * * [simplify]: Extracting #8: cost 0 inf + 51944 24.387 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 24.387 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 24.387 * * * * [progress]: [ 108 / 133 ] simplifiying candidate # 24.388 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 24.388 * * [simplify]: iters left: 6 (12 enodes) 24.396 * * [simplify]: iters left: 5 (52 enodes) 24.409 * * [simplify]: iters left: 4 (90 enodes) 24.425 * * [simplify]: iters left: 3 (151 enodes) 24.479 * * [simplify]: iters left: 2 (287 enodes) 24.562 * * [simplify]: Extracting #0: cost 1 inf + 0 24.563 * * [simplify]: Extracting #1: cost 31 inf + 0 24.563 * * [simplify]: Extracting #2: cost 99 inf + 2 24.564 * * [simplify]: Extracting #3: cost 141 inf + 219 24.565 * * [simplify]: Extracting #4: cost 139 inf + 807 24.568 * * [simplify]: Extracting #5: cost 85 inf + 6440 24.575 * * [simplify]: Extracting #6: cost 41 inf + 22533 24.588 * * [simplify]: Extracting #7: cost 3 inf + 47776 24.601 * * [simplify]: Extracting #8: cost 0 inf + 50387 24.615 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 24.615 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 24.616 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 24.616 * * [simplify]: iters left: 6 (13 enodes) 24.624 * * [simplify]: iters left: 5 (57 enodes) 24.643 * * [simplify]: iters left: 4 (95 enodes) 24.658 * * [simplify]: iters left: 3 (154 enodes) 24.686 * * [simplify]: iters left: 2 (287 enodes) 24.747 * * [simplify]: Extracting #0: cost 1 inf + 0 24.747 * * [simplify]: Extracting #1: cost 30 inf + 0 24.748 * * [simplify]: Extracting #2: cost 73 inf + 0 24.748 * * [simplify]: Extracting #3: cost 136 inf + 3 24.750 * * [simplify]: Extracting #4: cost 130 inf + 1385 24.755 * * [simplify]: Extracting #5: cost 76 inf + 14535 24.766 * * [simplify]: Extracting #6: cost 5 inf + 50457 24.774 * * [simplify]: Extracting #7: cost 0 inf + 54374 24.781 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 24.781 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)))) 24.781 * * * * [progress]: [ 109 / 133 ] simplifiying candidate # 24.781 * * * * [progress]: [ 110 / 133 ] simplifiying candidate # 24.781 * * * * [progress]: [ 111 / 133 ] simplifiying candidate # 24.781 * * * * [progress]: [ 112 / 133 ] simplifiying candidate # 24.782 * [simplify]: Simplifying (cbrt (sqrt k)) 24.782 * * [simplify]: iters left: 2 (3 enodes) 24.782 * * [simplify]: iters left: 1 (9 enodes) 24.783 * * [simplify]: Extracting #0: cost 1 inf + 0 24.783 * * [simplify]: Extracting #1: cost 3 inf + 0 24.784 * * [simplify]: Extracting #2: cost 5 inf + 0 24.784 * * [simplify]: Extracting #3: cost 4 inf + 1 24.784 * * [simplify]: Extracting #4: cost 0 inf + 325 24.784 * [simplify]: Simplified to (cbrt (sqrt k)) 24.784 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 24.784 * * * * [progress]: [ 113 / 133 ] simplifiying candidate # 24.784 * [simplify]: Simplifying (sqrt (cbrt k)) 24.784 * * [simplify]: iters left: 2 (3 enodes) 24.784 * * [simplify]: iters left: 1 (9 enodes) 24.786 * * [simplify]: Extracting #0: cost 1 inf + 0 24.786 * * [simplify]: Extracting #1: cost 3 inf + 0 24.786 * * [simplify]: Extracting #2: cost 5 inf + 0 24.786 * * [simplify]: Extracting #3: cost 4 inf + 1 24.786 * * [simplify]: Extracting #4: cost 0 inf + 405 24.786 * [simplify]: Simplified to (sqrt (cbrt k)) 24.786 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) 24.786 * * * * [progress]: [ 114 / 133 ] simplifiying candidate # 24.786 * [simplify]: Simplifying (sqrt (sqrt k)) 24.786 * * [simplify]: iters left: 2 (3 enodes) 24.787 * * [simplify]: iters left: 1 (9 enodes) 24.788 * * [simplify]: Extracting #0: cost 1 inf + 0 24.788 * * [simplify]: Extracting #1: cost 3 inf + 0 24.788 * * [simplify]: Extracting #2: cost 5 inf + 0 24.788 * * [simplify]: Extracting #3: cost 4 inf + 1 24.788 * * [simplify]: Extracting #4: cost 0 inf + 245 24.788 * [simplify]: Simplified to (sqrt (sqrt k)) 24.788 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 24.788 * * * * [progress]: [ 115 / 133 ] simplifiying candidate # 24.788 * [simplify]: Simplifying (sqrt k) 24.788 * * [simplify]: iters left: 1 (2 enodes) 24.789 * * [simplify]: Extracting #0: cost 1 inf + 0 24.789 * * [simplify]: Extracting #1: cost 3 inf + 0 24.789 * * [simplify]: Extracting #2: cost 2 inf + 1 24.789 * * [simplify]: Extracting #3: cost 0 inf + 83 24.789 * [simplify]: Simplified to (sqrt k) 24.789 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k))) 24.789 * * * * [progress]: [ 116 / 133 ] simplifiying candidate # 24.789 * [simplify]: Simplifying (sqrt (sqrt k)) 24.789 * * [simplify]: iters left: 2 (3 enodes) 24.790 * * [simplify]: iters left: 1 (9 enodes) 24.791 * * [simplify]: Extracting #0: cost 1 inf + 0 24.791 * * [simplify]: Extracting #1: cost 3 inf + 0 24.791 * * [simplify]: Extracting #2: cost 5 inf + 0 24.791 * * [simplify]: Extracting #3: cost 4 inf + 1 24.791 * * [simplify]: Extracting #4: cost 0 inf + 245 24.791 * [simplify]: Simplified to (sqrt (sqrt k)) 24.791 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 24.791 * * * * [progress]: [ 117 / 133 ] simplifiying candidate # 24.791 * [simplify]: Simplifying (sqrt k) 24.791 * * [simplify]: iters left: 1 (2 enodes) 24.792 * * [simplify]: Extracting #0: cost 1 inf + 0 24.792 * * [simplify]: Extracting #1: cost 3 inf + 0 24.792 * * [simplify]: Extracting #2: cost 2 inf + 1 24.792 * * [simplify]: Extracting #3: cost 0 inf + 83 24.792 * [simplify]: Simplified to (sqrt k) 24.792 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k))) 24.792 * * * * [progress]: [ 118 / 133 ] simplifiying candidate # 24.792 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 24.792 * * [simplify]: iters left: 5 (7 enodes) 24.797 * * [simplify]: iters left: 4 (32 enodes) 24.807 * * [simplify]: iters left: 3 (57 enodes) 24.826 * * [simplify]: iters left: 2 (88 enodes) 24.843 * * [simplify]: iters left: 1 (156 enodes) 24.875 * * [simplify]: Extracting #0: cost 1 inf + 0 24.875 * * [simplify]: Extracting #1: cost 13 inf + 0 24.875 * * [simplify]: Extracting #2: cost 49 inf + 2 24.875 * * [simplify]: Extracting #3: cost 80 inf + 6 24.876 * * [simplify]: Extracting #4: cost 58 inf + 1840 24.877 * * [simplify]: Extracting #5: cost 22 inf + 9206 24.880 * * [simplify]: Extracting #6: cost 1 inf + 20886 24.884 * * [simplify]: Extracting #7: cost 0 inf + 21301 24.887 * * [simplify]: Extracting #8: cost 0 inf + 21130 24.890 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 24.890 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 24.891 * * * * [progress]: [ 119 / 133 ] simplifiying candidate # 24.891 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 24.891 * * [simplify]: iters left: 6 (12 enodes) 24.895 * * [simplify]: iters left: 5 (51 enodes) 24.904 * * [simplify]: iters left: 4 (84 enodes) 24.920 * * [simplify]: iters left: 3 (125 enodes) 24.940 * * [simplify]: iters left: 2 (198 enodes) 25.012 * * [simplify]: iters left: 1 (353 enodes) 25.163 * * [simplify]: Extracting #0: cost 1 inf + 0 25.163 * * [simplify]: Extracting #1: cost 3 inf + 0 25.163 * * [simplify]: Extracting #2: cost 5 inf + 0 25.163 * * [simplify]: Extracting #3: cost 28 inf + 0 25.163 * * [simplify]: Extracting #4: cost 101 inf + 1 25.164 * * [simplify]: Extracting #5: cost 136 inf + 176 25.165 * * [simplify]: Extracting #6: cost 126 inf + 1348 25.167 * * [simplify]: Extracting #7: cost 70 inf + 12457 25.177 * * [simplify]: Extracting #8: cost 19 inf + 42176 25.197 * * [simplify]: Extracting #9: cost 0 inf + 57297 25.215 * * [simplify]: Extracting #10: cost 0 inf + 56855 25.234 * * [simplify]: Extracting #11: cost 0 inf + 56816 25.253 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 25.253 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 25.253 * * * * [progress]: [ 120 / 133 ] simplifiying candidate # 25.254 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 25.254 * * [simplify]: iters left: 6 (11 enodes) 25.260 * * [simplify]: iters left: 5 (48 enodes) 25.277 * * [simplify]: iters left: 4 (78 enodes) 25.302 * * [simplify]: iters left: 3 (120 enodes) 25.330 * * [simplify]: iters left: 2 (211 enodes) 25.389 * * [simplify]: iters left: 1 (380 enodes) 25.536 * * [simplify]: Extracting #0: cost 1 inf + 0 25.536 * * [simplify]: Extracting #1: cost 4 inf + 0 25.536 * * [simplify]: Extracting #2: cost 29 inf + 0 25.536 * * [simplify]: Extracting #3: cost 113 inf + 1 25.538 * * [simplify]: Extracting #4: cost 155 inf + 220 25.539 * * [simplify]: Extracting #5: cost 153 inf + 561 25.541 * * [simplify]: Extracting #6: cost 121 inf + 2833 25.546 * * [simplify]: Extracting #7: cost 68 inf + 14038 25.554 * * [simplify]: Extracting #8: cost 15 inf + 50044 25.565 * * [simplify]: Extracting #9: cost 0 inf + 59395 25.575 * * [simplify]: Extracting #10: cost 0 inf + 59194 25.592 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 25.592 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 25.592 * * * * [progress]: [ 121 / 133 ] simplifiying candidate # 25.592 * * * * [progress]: [ 122 / 133 ] simplifiying candidate # 25.593 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 25.593 * * [simplify]: iters left: 6 (11 enodes) 25.600 * * [simplify]: iters left: 5 (51 enodes) 25.617 * * [simplify]: iters left: 4 (87 enodes) 25.649 * * [simplify]: iters left: 3 (143 enodes) 25.698 * * [simplify]: iters left: 2 (259 enodes) 25.765 * * [simplify]: iters left: 1 (469 enodes) 25.982 * * [simplify]: Extracting #0: cost 1 inf + 0 25.982 * * [simplify]: Extracting #1: cost 24 inf + 0 25.983 * * [simplify]: Extracting #2: cost 110 inf + 1 25.984 * * [simplify]: Extracting #3: cost 192 inf + 178 25.986 * * [simplify]: Extracting #4: cost 178 inf + 1845 25.993 * * [simplify]: Extracting #5: cost 89 inf + 12477 26.004 * * [simplify]: Extracting #6: cost 41 inf + 28219 26.023 * * [simplify]: Extracting #7: cost 4 inf + 58625 26.044 * * [simplify]: Extracting #8: cost 0 inf + 62670 26.067 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 26.068 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 26.068 * * * * [progress]: [ 123 / 133 ] simplifiying candidate # 26.068 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 26.068 * * [simplify]: iters left: 5 (8 enodes) 26.074 * * [simplify]: iters left: 4 (35 enodes) 26.089 * * [simplify]: iters left: 3 (63 enodes) 26.114 * * [simplify]: iters left: 2 (108 enodes) 26.145 * * [simplify]: iters left: 1 (162 enodes) 26.198 * * [simplify]: Extracting #0: cost 1 inf + 0 26.198 * * [simplify]: Extracting #1: cost 12 inf + 0 26.198 * * [simplify]: Extracting #2: cost 40 inf + 2 26.199 * * [simplify]: Extracting #3: cost 40 inf + 9 26.199 * * [simplify]: Extracting #4: cost 25 inf + 2233 26.201 * * [simplify]: Extracting #5: cost 10 inf + 8991 26.204 * * [simplify]: Extracting #6: cost 0 inf + 14572 26.207 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 26.207 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2))))) 26.208 * * * * [progress]: [ 124 / 133 ] simplifiying candidate #real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))> 26.208 * * * * [progress]: [ 125 / 133 ] simplifiying candidate # 26.208 * [simplify]: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 26.209 * * [simplify]: iters left: 6 (37 enodes) 26.227 * * [simplify]: iters left: 5 (190 enodes) 26.281 * * [simplify]: Extracting #0: cost 1 inf + 0 26.281 * * [simplify]: Extracting #1: cost 22 inf + 0 26.282 * * [simplify]: Extracting #2: cost 108 inf + 1 26.282 * * [simplify]: Extracting #3: cost 171 inf + 46 26.284 * * [simplify]: Extracting #4: cost 189 inf + 427 26.288 * * [simplify]: Extracting #5: cost 128 inf + 16032 26.305 * * [simplify]: Extracting #6: cost 29 inf + 57153 26.333 * * [simplify]: Extracting #7: cost 4 inf + 75884 26.349 * * [simplify]: Extracting #8: cost 0 inf + 78767 26.372 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) 26.372 * [simplify]: Simplified (2 1) to (λ (k n) (/ (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) (sqrt k))) 26.372 * * * * [progress]: [ 126 / 133 ] simplifiying candidate # 26.372 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 26.373 * * [simplify]: iters left: 6 (15 enodes) 26.382 * * [simplify]: iters left: 5 (65 enodes) 26.398 * * [simplify]: iters left: 4 (123 enodes) 26.435 * * [simplify]: iters left: 3 (367 enodes) 26.661 * * [simplify]: Extracting #0: cost 1 inf + 0 26.661 * * [simplify]: Extracting #1: cost 37 inf + 0 26.662 * * [simplify]: Extracting #2: cost 216 inf + 72 26.663 * * [simplify]: Extracting #3: cost 356 inf + 1622 26.668 * * [simplify]: Extracting #4: cost 219 inf + 28945 26.691 * * [simplify]: Extracting #5: cost 21 inf + 83197 26.710 * * [simplify]: Extracting #6: cost 0 inf + 89881 26.726 * * [simplify]: Extracting #7: cost 0 inf + 89729 26.757 * * [simplify]: Extracting #8: cost 0 inf + 89726 26.790 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 26.790 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k))) 26.790 * * * * [progress]: [ 127 / 133 ] simplifiying candidate # 26.790 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 26.790 * * [simplify]: iters left: 6 (16 enodes) 26.800 * * [simplify]: iters left: 5 (67 enodes) 26.825 * * [simplify]: iters left: 4 (134 enodes) 26.866 * * [simplify]: iters left: 3 (413 enodes) 27.104 * * [simplify]: Extracting #0: cost 1 inf + 0 27.104 * * [simplify]: Extracting #1: cost 39 inf + 0 27.104 * * [simplify]: Extracting #2: cost 241 inf + 72 27.106 * * [simplify]: Extracting #3: cost 450 inf + 903 27.109 * * [simplify]: Extracting #4: cost 376 inf + 10375 27.119 * * [simplify]: Extracting #5: cost 158 inf + 67083 27.157 * * [simplify]: Extracting #6: cost 12 inf + 118840 27.207 * * [simplify]: Extracting #7: cost 0 inf + 121984 27.252 * * [simplify]: Extracting #8: cost 0 inf + 121983 27.284 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 27.285 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (sqrt k))) 27.285 * * * * [progress]: [ 128 / 133 ] simplifiying candidate # 27.285 * [simplify]: Simplifying (* 2 (* n PI)) 27.285 * * [simplify]: iters left: 4 (5 enodes) 27.288 * * [simplify]: iters left: 3 (19 enodes) 27.294 * * [simplify]: iters left: 2 (27 enodes) 27.302 * * [simplify]: iters left: 1 (32 enodes) 27.312 * * [simplify]: Extracting #0: cost 1 inf + 0 27.312 * * [simplify]: Extracting #1: cost 8 inf + 0 27.312 * * [simplify]: Extracting #2: cost 7 inf + 45 27.312 * * [simplify]: Extracting #3: cost 0 inf + 421 27.312 * [simplify]: Simplified to (* (* PI n) 2) 27.312 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 27.313 * * * * [progress]: [ 129 / 133 ] simplifiying candidate # 27.313 * [simplify]: Simplifying (* 2 (* n PI)) 27.313 * * [simplify]: iters left: 4 (5 enodes) 27.316 * * [simplify]: iters left: 3 (19 enodes) 27.322 * * [simplify]: iters left: 2 (27 enodes) 27.329 * * [simplify]: iters left: 1 (32 enodes) 27.333 * * [simplify]: Extracting #0: cost 1 inf + 0 27.333 * * [simplify]: Extracting #1: cost 8 inf + 0 27.333 * * [simplify]: Extracting #2: cost 7 inf + 45 27.333 * * [simplify]: Extracting #3: cost 0 inf + 421 27.333 * [simplify]: Simplified to (* (* PI n) 2) 27.333 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 27.333 * * * * [progress]: [ 130 / 133 ] simplifiying candidate # 27.333 * [simplify]: Simplifying (* 2 (* n PI)) 27.333 * * [simplify]: iters left: 4 (5 enodes) 27.335 * * [simplify]: iters left: 3 (19 enodes) 27.338 * * [simplify]: iters left: 2 (27 enodes) 27.342 * * [simplify]: iters left: 1 (32 enodes) 27.346 * * [simplify]: Extracting #0: cost 1 inf + 0 27.346 * * [simplify]: Extracting #1: cost 8 inf + 0 27.346 * * [simplify]: Extracting #2: cost 7 inf + 45 27.346 * * [simplify]: Extracting #3: cost 0 inf + 421 27.346 * [simplify]: Simplified to (* (* PI n) 2) 27.346 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 27.347 * * * * [progress]: [ 131 / 133 ] simplifiying candidate # 27.347 * [simplify]: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 27.347 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 27.347 * * * * [progress]: [ 132 / 133 ] simplifiying candidate # 27.348 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 27.348 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 27.348 * * * * [progress]: [ 133 / 133 ] simplifiying candidate # 27.348 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 27.348 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 27.349 * * * [progress]: adding candidates to table 28.850 * * [progress]: iteration 2 / 4 28.850 * * * [progress]: picking best candidate 28.913 * * * * [pick]: Picked # 28.913 * * * [progress]: localizing error 28.939 * * * [progress]: generating rewritten candidates 28.939 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 28.953 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 28.967 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 28.972 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 29.014 * * * [progress]: generating series expansions 29.014 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 29.015 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 29.015 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 29.015 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 29.015 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 29.015 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 29.015 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 29.015 * [taylor]: Taking taylor expansion of 1/2 in k 29.015 * [backup-simplify]: Simplify 1/2 into 1/2 29.015 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.015 * [taylor]: Taking taylor expansion of 1 in k 29.015 * [backup-simplify]: Simplify 1 into 1 29.015 * [taylor]: Taking taylor expansion of k in k 29.015 * [backup-simplify]: Simplify 0 into 0 29.015 * [backup-simplify]: Simplify 1 into 1 29.015 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 29.015 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 29.015 * [taylor]: Taking taylor expansion of 2 in k 29.015 * [backup-simplify]: Simplify 2 into 2 29.015 * [taylor]: Taking taylor expansion of (* n PI) in k 29.015 * [taylor]: Taking taylor expansion of n in k 29.015 * [backup-simplify]: Simplify n into n 29.015 * [taylor]: Taking taylor expansion of PI in k 29.015 * [backup-simplify]: Simplify PI into PI 29.015 * [backup-simplify]: Simplify (* n PI) into (* n PI) 29.016 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 29.016 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 29.016 * [backup-simplify]: Simplify (- 0) into 0 29.016 * [backup-simplify]: Simplify (+ 1 0) into 1 29.016 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.016 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 29.016 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 29.017 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 29.017 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 29.017 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 29.017 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 29.017 * [taylor]: Taking taylor expansion of 1/2 in n 29.017 * [backup-simplify]: Simplify 1/2 into 1/2 29.017 * [taylor]: Taking taylor expansion of (- 1 k) in n 29.017 * [taylor]: Taking taylor expansion of 1 in n 29.017 * [backup-simplify]: Simplify 1 into 1 29.017 * [taylor]: Taking taylor expansion of k in n 29.017 * [backup-simplify]: Simplify k into k 29.017 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.017 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.017 * [taylor]: Taking taylor expansion of 2 in n 29.017 * [backup-simplify]: Simplify 2 into 2 29.017 * [taylor]: Taking taylor expansion of (* n PI) in n 29.017 * [taylor]: Taking taylor expansion of n in n 29.017 * [backup-simplify]: Simplify 0 into 0 29.017 * [backup-simplify]: Simplify 1 into 1 29.017 * [taylor]: Taking taylor expansion of PI in n 29.017 * [backup-simplify]: Simplify PI into PI 29.017 * [backup-simplify]: Simplify (* 0 PI) into 0 29.017 * [backup-simplify]: Simplify (* 2 0) into 0 29.018 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.019 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.020 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.020 * [backup-simplify]: Simplify (- k) into (- k) 29.020 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 29.020 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 29.021 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.022 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 29.022 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 29.022 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 29.022 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 29.022 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 29.022 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 29.022 * [taylor]: Taking taylor expansion of 1/2 in n 29.022 * [backup-simplify]: Simplify 1/2 into 1/2 29.022 * [taylor]: Taking taylor expansion of (- 1 k) in n 29.022 * [taylor]: Taking taylor expansion of 1 in n 29.022 * [backup-simplify]: Simplify 1 into 1 29.023 * [taylor]: Taking taylor expansion of k in n 29.023 * [backup-simplify]: Simplify k into k 29.023 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.023 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.023 * [taylor]: Taking taylor expansion of 2 in n 29.023 * [backup-simplify]: Simplify 2 into 2 29.023 * [taylor]: Taking taylor expansion of (* n PI) in n 29.023 * [taylor]: Taking taylor expansion of n in n 29.023 * [backup-simplify]: Simplify 0 into 0 29.023 * [backup-simplify]: Simplify 1 into 1 29.023 * [taylor]: Taking taylor expansion of PI in n 29.023 * [backup-simplify]: Simplify PI into PI 29.023 * [backup-simplify]: Simplify (* 0 PI) into 0 29.023 * [backup-simplify]: Simplify (* 2 0) into 0 29.024 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.025 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.026 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.026 * [backup-simplify]: Simplify (- k) into (- k) 29.026 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 29.026 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 29.027 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.027 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 29.028 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 29.028 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 29.028 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 29.028 * [taylor]: Taking taylor expansion of 1/2 in k 29.028 * [backup-simplify]: Simplify 1/2 into 1/2 29.028 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 29.028 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.028 * [taylor]: Taking taylor expansion of 1 in k 29.028 * [backup-simplify]: Simplify 1 into 1 29.028 * [taylor]: Taking taylor expansion of k in k 29.028 * [backup-simplify]: Simplify 0 into 0 29.028 * [backup-simplify]: Simplify 1 into 1 29.028 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 29.028 * [taylor]: Taking taylor expansion of (log n) in k 29.028 * [taylor]: Taking taylor expansion of n in k 29.028 * [backup-simplify]: Simplify n into n 29.028 * [backup-simplify]: Simplify (log n) into (log n) 29.028 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.028 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.028 * [taylor]: Taking taylor expansion of 2 in k 29.028 * [backup-simplify]: Simplify 2 into 2 29.028 * [taylor]: Taking taylor expansion of PI in k 29.028 * [backup-simplify]: Simplify PI into PI 29.029 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.029 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.029 * [backup-simplify]: Simplify (- 0) into 0 29.030 * [backup-simplify]: Simplify (+ 1 0) into 1 29.030 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.031 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 29.031 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 29.032 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 29.033 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 29.033 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.034 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 29.035 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.035 * [backup-simplify]: Simplify (- 0) into 0 29.036 * [backup-simplify]: Simplify (+ 0 0) into 0 29.036 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 29.037 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.038 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 29.039 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.039 * [taylor]: Taking taylor expansion of 0 in k 29.039 * [backup-simplify]: Simplify 0 into 0 29.039 * [backup-simplify]: Simplify 0 into 0 29.040 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 29.040 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.041 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.041 * [backup-simplify]: Simplify (+ 0 0) into 0 29.042 * [backup-simplify]: Simplify (- 1) into -1 29.042 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.043 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 29.044 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 29.046 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.047 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 29.049 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 29.051 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.051 * [backup-simplify]: Simplify (- 0) into 0 29.051 * [backup-simplify]: Simplify (+ 0 0) into 0 29.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 29.053 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.053 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.055 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.055 * [taylor]: Taking taylor expansion of 0 in k 29.055 * [backup-simplify]: Simplify 0 into 0 29.055 * [backup-simplify]: Simplify 0 into 0 29.055 * [backup-simplify]: Simplify 0 into 0 29.056 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 29.056 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.058 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.059 * [backup-simplify]: Simplify (+ 0 0) into 0 29.059 * [backup-simplify]: Simplify (- 0) into 0 29.059 * [backup-simplify]: Simplify (+ 0 0) into 0 29.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.067 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 29.072 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 29.082 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 29.083 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 29.083 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 29.083 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 29.083 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 29.083 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 29.083 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 29.083 * [taylor]: Taking taylor expansion of 1/2 in k 29.083 * [backup-simplify]: Simplify 1/2 into 1/2 29.083 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.083 * [taylor]: Taking taylor expansion of 1 in k 29.083 * [backup-simplify]: Simplify 1 into 1 29.083 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.083 * [taylor]: Taking taylor expansion of k in k 29.083 * [backup-simplify]: Simplify 0 into 0 29.083 * [backup-simplify]: Simplify 1 into 1 29.083 * [backup-simplify]: Simplify (/ 1 1) into 1 29.083 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 29.084 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 29.084 * [taylor]: Taking taylor expansion of 2 in k 29.084 * [backup-simplify]: Simplify 2 into 2 29.084 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.084 * [taylor]: Taking taylor expansion of PI in k 29.084 * [backup-simplify]: Simplify PI into PI 29.084 * [taylor]: Taking taylor expansion of n in k 29.084 * [backup-simplify]: Simplify n into n 29.084 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.084 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 29.084 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 29.084 * [backup-simplify]: Simplify (- 1) into -1 29.085 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.085 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 29.085 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 29.085 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 29.086 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 29.086 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 29.086 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 29.086 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 29.086 * [taylor]: Taking taylor expansion of 1/2 in n 29.086 * [backup-simplify]: Simplify 1/2 into 1/2 29.086 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.086 * [taylor]: Taking taylor expansion of 1 in n 29.086 * [backup-simplify]: Simplify 1 into 1 29.086 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.086 * [taylor]: Taking taylor expansion of k in n 29.086 * [backup-simplify]: Simplify k into k 29.086 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.086 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.086 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.086 * [taylor]: Taking taylor expansion of 2 in n 29.086 * [backup-simplify]: Simplify 2 into 2 29.086 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.086 * [taylor]: Taking taylor expansion of PI in n 29.086 * [backup-simplify]: Simplify PI into PI 29.086 * [taylor]: Taking taylor expansion of n in n 29.086 * [backup-simplify]: Simplify 0 into 0 29.086 * [backup-simplify]: Simplify 1 into 1 29.087 * [backup-simplify]: Simplify (/ PI 1) into PI 29.087 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.093 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.093 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.093 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.093 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 29.095 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.096 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.097 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.097 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 29.097 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 29.097 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 29.097 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 29.097 * [taylor]: Taking taylor expansion of 1/2 in n 29.097 * [backup-simplify]: Simplify 1/2 into 1/2 29.097 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.097 * [taylor]: Taking taylor expansion of 1 in n 29.097 * [backup-simplify]: Simplify 1 into 1 29.097 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.097 * [taylor]: Taking taylor expansion of k in n 29.097 * [backup-simplify]: Simplify k into k 29.097 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.097 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.097 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.097 * [taylor]: Taking taylor expansion of 2 in n 29.097 * [backup-simplify]: Simplify 2 into 2 29.097 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.097 * [taylor]: Taking taylor expansion of PI in n 29.097 * [backup-simplify]: Simplify PI into PI 29.097 * [taylor]: Taking taylor expansion of n in n 29.098 * [backup-simplify]: Simplify 0 into 0 29.098 * [backup-simplify]: Simplify 1 into 1 29.098 * [backup-simplify]: Simplify (/ PI 1) into PI 29.098 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.099 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.100 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.100 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.100 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 29.101 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.102 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.103 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.103 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 29.103 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 29.104 * [taylor]: Taking taylor expansion of 1/2 in k 29.104 * [backup-simplify]: Simplify 1/2 into 1/2 29.104 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 29.104 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.104 * [taylor]: Taking taylor expansion of 1 in k 29.104 * [backup-simplify]: Simplify 1 into 1 29.104 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.104 * [taylor]: Taking taylor expansion of k in k 29.104 * [backup-simplify]: Simplify 0 into 0 29.104 * [backup-simplify]: Simplify 1 into 1 29.104 * [backup-simplify]: Simplify (/ 1 1) into 1 29.104 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 29.104 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.104 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.104 * [taylor]: Taking taylor expansion of 2 in k 29.104 * [backup-simplify]: Simplify 2 into 2 29.104 * [taylor]: Taking taylor expansion of PI in k 29.104 * [backup-simplify]: Simplify PI into PI 29.105 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.106 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.106 * [taylor]: Taking taylor expansion of (log n) in k 29.106 * [taylor]: Taking taylor expansion of n in k 29.106 * [backup-simplify]: Simplify n into n 29.106 * [backup-simplify]: Simplify (log n) into (log n) 29.106 * [backup-simplify]: Simplify (- 1) into -1 29.107 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.107 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.108 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 29.109 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 29.110 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 29.112 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.113 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.115 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.116 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.117 * [backup-simplify]: Simplify (- 0) into 0 29.117 * [backup-simplify]: Simplify (+ 0 0) into 0 29.118 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 29.120 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.121 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 29.123 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.123 * [taylor]: Taking taylor expansion of 0 in k 29.123 * [backup-simplify]: Simplify 0 into 0 29.123 * [backup-simplify]: Simplify 0 into 0 29.123 * [backup-simplify]: Simplify 0 into 0 29.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.125 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.129 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.130 * [backup-simplify]: Simplify (- 0) into 0 29.130 * [backup-simplify]: Simplify (+ 0 0) into 0 29.131 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 29.132 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.134 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 29.136 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.136 * [taylor]: Taking taylor expansion of 0 in k 29.136 * [backup-simplify]: Simplify 0 into 0 29.136 * [backup-simplify]: Simplify 0 into 0 29.136 * [backup-simplify]: Simplify 0 into 0 29.136 * [backup-simplify]: Simplify 0 into 0 29.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.139 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.145 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 29.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.145 * [backup-simplify]: Simplify (- 0) into 0 29.146 * [backup-simplify]: Simplify (+ 0 0) into 0 29.147 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 29.148 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.150 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 29.153 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 29.153 * [taylor]: Taking taylor expansion of 0 in k 29.153 * [backup-simplify]: Simplify 0 into 0 29.153 * [backup-simplify]: Simplify 0 into 0 29.154 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 29.155 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 29.155 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 29.155 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 29.155 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 29.155 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 29.155 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 29.155 * [taylor]: Taking taylor expansion of 1/2 in k 29.155 * [backup-simplify]: Simplify 1/2 into 1/2 29.155 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.155 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.155 * [taylor]: Taking taylor expansion of k in k 29.155 * [backup-simplify]: Simplify 0 into 0 29.155 * [backup-simplify]: Simplify 1 into 1 29.156 * [backup-simplify]: Simplify (/ 1 1) into 1 29.156 * [taylor]: Taking taylor expansion of 1 in k 29.156 * [backup-simplify]: Simplify 1 into 1 29.156 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 29.156 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 29.156 * [taylor]: Taking taylor expansion of -2 in k 29.156 * [backup-simplify]: Simplify -2 into -2 29.156 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.156 * [taylor]: Taking taylor expansion of PI in k 29.156 * [backup-simplify]: Simplify PI into PI 29.156 * [taylor]: Taking taylor expansion of n in k 29.156 * [backup-simplify]: Simplify n into n 29.156 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.156 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 29.156 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 29.157 * [backup-simplify]: Simplify (+ 1 0) into 1 29.157 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.157 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 29.158 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 29.158 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 29.158 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 29.158 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 29.158 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 29.158 * [taylor]: Taking taylor expansion of 1/2 in n 29.158 * [backup-simplify]: Simplify 1/2 into 1/2 29.158 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.158 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.158 * [taylor]: Taking taylor expansion of k in n 29.158 * [backup-simplify]: Simplify k into k 29.158 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.158 * [taylor]: Taking taylor expansion of 1 in n 29.158 * [backup-simplify]: Simplify 1 into 1 29.158 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.158 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.158 * [taylor]: Taking taylor expansion of -2 in n 29.158 * [backup-simplify]: Simplify -2 into -2 29.158 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.158 * [taylor]: Taking taylor expansion of PI in n 29.158 * [backup-simplify]: Simplify PI into PI 29.158 * [taylor]: Taking taylor expansion of n in n 29.158 * [backup-simplify]: Simplify 0 into 0 29.158 * [backup-simplify]: Simplify 1 into 1 29.159 * [backup-simplify]: Simplify (/ PI 1) into PI 29.159 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.160 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.160 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.161 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 29.162 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.163 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.164 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.164 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 29.164 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 29.164 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 29.164 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 29.164 * [taylor]: Taking taylor expansion of 1/2 in n 29.164 * [backup-simplify]: Simplify 1/2 into 1/2 29.164 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.164 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.164 * [taylor]: Taking taylor expansion of k in n 29.164 * [backup-simplify]: Simplify k into k 29.164 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.164 * [taylor]: Taking taylor expansion of 1 in n 29.165 * [backup-simplify]: Simplify 1 into 1 29.165 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.165 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.165 * [taylor]: Taking taylor expansion of -2 in n 29.165 * [backup-simplify]: Simplify -2 into -2 29.165 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.165 * [taylor]: Taking taylor expansion of PI in n 29.165 * [backup-simplify]: Simplify PI into PI 29.165 * [taylor]: Taking taylor expansion of n in n 29.165 * [backup-simplify]: Simplify 0 into 0 29.165 * [backup-simplify]: Simplify 1 into 1 29.165 * [backup-simplify]: Simplify (/ PI 1) into PI 29.166 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.167 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.167 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.167 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 29.168 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.169 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.170 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.170 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 29.171 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 29.171 * [taylor]: Taking taylor expansion of 1/2 in k 29.171 * [backup-simplify]: Simplify 1/2 into 1/2 29.171 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 29.171 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.171 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.171 * [taylor]: Taking taylor expansion of k in k 29.171 * [backup-simplify]: Simplify 0 into 0 29.171 * [backup-simplify]: Simplify 1 into 1 29.171 * [backup-simplify]: Simplify (/ 1 1) into 1 29.171 * [taylor]: Taking taylor expansion of 1 in k 29.171 * [backup-simplify]: Simplify 1 into 1 29.171 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 29.171 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 29.171 * [taylor]: Taking taylor expansion of (* -2 PI) in k 29.171 * [taylor]: Taking taylor expansion of -2 in k 29.171 * [backup-simplify]: Simplify -2 into -2 29.171 * [taylor]: Taking taylor expansion of PI in k 29.171 * [backup-simplify]: Simplify PI into PI 29.172 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.173 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.173 * [taylor]: Taking taylor expansion of (log n) in k 29.173 * [taylor]: Taking taylor expansion of n in k 29.173 * [backup-simplify]: Simplify n into n 29.173 * [backup-simplify]: Simplify (log n) into (log n) 29.173 * [backup-simplify]: Simplify (+ 1 0) into 1 29.173 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.174 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 29.175 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 29.176 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 29.176 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.177 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.178 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 29.179 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 29.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.179 * [backup-simplify]: Simplify (+ 0 0) into 0 29.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 29.181 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.182 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 29.183 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.183 * [taylor]: Taking taylor expansion of 0 in k 29.183 * [backup-simplify]: Simplify 0 into 0 29.183 * [backup-simplify]: Simplify 0 into 0 29.183 * [backup-simplify]: Simplify 0 into 0 29.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.184 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 29.186 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 29.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.187 * [backup-simplify]: Simplify (+ 0 0) into 0 29.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 29.188 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.189 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 29.191 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.191 * [taylor]: Taking taylor expansion of 0 in k 29.191 * [backup-simplify]: Simplify 0 into 0 29.191 * [backup-simplify]: Simplify 0 into 0 29.191 * [backup-simplify]: Simplify 0 into 0 29.191 * [backup-simplify]: Simplify 0 into 0 29.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.192 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.195 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 29.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.196 * [backup-simplify]: Simplify (+ 0 0) into 0 29.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 29.197 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.198 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 29.200 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 29.200 * [taylor]: Taking taylor expansion of 0 in k 29.200 * [backup-simplify]: Simplify 0 into 0 29.200 * [backup-simplify]: Simplify 0 into 0 29.201 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 29.201 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 29.201 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 29.201 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 29.201 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.201 * [taylor]: Taking taylor expansion of 2 in n 29.201 * [backup-simplify]: Simplify 2 into 2 29.201 * [taylor]: Taking taylor expansion of (* n PI) in n 29.201 * [taylor]: Taking taylor expansion of n in n 29.201 * [backup-simplify]: Simplify 0 into 0 29.201 * [backup-simplify]: Simplify 1 into 1 29.201 * [taylor]: Taking taylor expansion of PI in n 29.201 * [backup-simplify]: Simplify PI into PI 29.201 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.201 * [taylor]: Taking taylor expansion of 2 in n 29.201 * [backup-simplify]: Simplify 2 into 2 29.201 * [taylor]: Taking taylor expansion of (* n PI) in n 29.201 * [taylor]: Taking taylor expansion of n in n 29.201 * [backup-simplify]: Simplify 0 into 0 29.201 * [backup-simplify]: Simplify 1 into 1 29.201 * [taylor]: Taking taylor expansion of PI in n 29.202 * [backup-simplify]: Simplify PI into PI 29.202 * [backup-simplify]: Simplify (* 0 PI) into 0 29.202 * [backup-simplify]: Simplify (* 2 0) into 0 29.202 * [backup-simplify]: Simplify 0 into 0 29.203 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.204 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.204 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.206 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 29.206 * [backup-simplify]: Simplify 0 into 0 29.206 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 29.207 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 29.207 * [backup-simplify]: Simplify 0 into 0 29.208 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.209 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 29.209 * [backup-simplify]: Simplify 0 into 0 29.210 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 29.210 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 29.210 * [backup-simplify]: Simplify 0 into 0 29.215 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 29.216 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 29.216 * [backup-simplify]: Simplify 0 into 0 29.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 29.218 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 29.218 * [backup-simplify]: Simplify 0 into 0 29.218 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 29.219 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 29.219 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 29.219 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.219 * [taylor]: Taking taylor expansion of 2 in n 29.219 * [backup-simplify]: Simplify 2 into 2 29.219 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.219 * [taylor]: Taking taylor expansion of PI in n 29.219 * [backup-simplify]: Simplify PI into PI 29.219 * [taylor]: Taking taylor expansion of n in n 29.219 * [backup-simplify]: Simplify 0 into 0 29.219 * [backup-simplify]: Simplify 1 into 1 29.219 * [backup-simplify]: Simplify (/ PI 1) into PI 29.219 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.219 * [taylor]: Taking taylor expansion of 2 in n 29.219 * [backup-simplify]: Simplify 2 into 2 29.219 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.219 * [taylor]: Taking taylor expansion of PI in n 29.219 * [backup-simplify]: Simplify PI into PI 29.219 * [taylor]: Taking taylor expansion of n in n 29.219 * [backup-simplify]: Simplify 0 into 0 29.219 * [backup-simplify]: Simplify 1 into 1 29.220 * [backup-simplify]: Simplify (/ PI 1) into PI 29.220 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.220 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.221 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.221 * [backup-simplify]: Simplify 0 into 0 29.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.223 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.223 * [backup-simplify]: Simplify 0 into 0 29.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.224 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.224 * [backup-simplify]: Simplify 0 into 0 29.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.225 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.225 * [backup-simplify]: Simplify 0 into 0 29.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.227 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 29.227 * [backup-simplify]: Simplify 0 into 0 29.227 * [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 29.228 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 29.228 * [backup-simplify]: Simplify 0 into 0 29.229 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 29.229 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 29.229 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 29.229 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.229 * [taylor]: Taking taylor expansion of -2 in n 29.229 * [backup-simplify]: Simplify -2 into -2 29.229 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.229 * [taylor]: Taking taylor expansion of PI in n 29.229 * [backup-simplify]: Simplify PI into PI 29.229 * [taylor]: Taking taylor expansion of n in n 29.229 * [backup-simplify]: Simplify 0 into 0 29.229 * [backup-simplify]: Simplify 1 into 1 29.230 * [backup-simplify]: Simplify (/ PI 1) into PI 29.230 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.230 * [taylor]: Taking taylor expansion of -2 in n 29.230 * [backup-simplify]: Simplify -2 into -2 29.230 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.230 * [taylor]: Taking taylor expansion of PI in n 29.230 * [backup-simplify]: Simplify PI into PI 29.230 * [taylor]: Taking taylor expansion of n in n 29.230 * [backup-simplify]: Simplify 0 into 0 29.230 * [backup-simplify]: Simplify 1 into 1 29.230 * [backup-simplify]: Simplify (/ PI 1) into PI 29.230 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.231 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.232 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 29.232 * [backup-simplify]: Simplify 0 into 0 29.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.234 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 29.235 * [backup-simplify]: Simplify 0 into 0 29.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.237 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.237 * [backup-simplify]: Simplify 0 into 0 29.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.239 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.239 * [backup-simplify]: Simplify 0 into 0 29.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.242 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 29.242 * [backup-simplify]: Simplify 0 into 0 29.244 * [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 29.245 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 29.245 * [backup-simplify]: Simplify 0 into 0 29.246 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 29.246 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 29.246 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 29.246 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 29.246 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.246 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.246 * [taylor]: Taking taylor expansion of k in k 29.246 * [backup-simplify]: Simplify 0 into 0 29.246 * [backup-simplify]: Simplify 1 into 1 29.247 * [backup-simplify]: Simplify (/ 1 1) into 1 29.247 * [backup-simplify]: Simplify (sqrt 0) into 0 29.249 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.249 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.249 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.249 * [taylor]: Taking taylor expansion of k in k 29.249 * [backup-simplify]: Simplify 0 into 0 29.249 * [backup-simplify]: Simplify 1 into 1 29.249 * [backup-simplify]: Simplify (/ 1 1) into 1 29.250 * [backup-simplify]: Simplify (sqrt 0) into 0 29.251 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.251 * [backup-simplify]: Simplify 0 into 0 29.251 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.255 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.255 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.260 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.260 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.260 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 29.261 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 29.261 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 29.261 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.261 * [taylor]: Taking taylor expansion of k in k 29.261 * [backup-simplify]: Simplify 0 into 0 29.261 * [backup-simplify]: Simplify 1 into 1 29.261 * [backup-simplify]: Simplify (sqrt 0) into 0 29.262 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.262 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.262 * [taylor]: Taking taylor expansion of k in k 29.262 * [backup-simplify]: Simplify 0 into 0 29.262 * [backup-simplify]: Simplify 1 into 1 29.263 * [backup-simplify]: Simplify (sqrt 0) into 0 29.265 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.265 * [backup-simplify]: Simplify 0 into 0 29.265 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.268 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.268 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.272 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.272 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.273 * [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)))))))) 29.273 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 29.273 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 29.273 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 29.273 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.273 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.273 * [taylor]: Taking taylor expansion of -1 in k 29.273 * [backup-simplify]: Simplify -1 into -1 29.273 * [taylor]: Taking taylor expansion of k in k 29.273 * [backup-simplify]: Simplify 0 into 0 29.273 * [backup-simplify]: Simplify 1 into 1 29.273 * [backup-simplify]: Simplify (/ -1 1) into -1 29.274 * [backup-simplify]: Simplify (sqrt 0) into 0 29.275 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.276 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 29.276 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 29.276 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.276 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.276 * [taylor]: Taking taylor expansion of -1 in k 29.276 * [backup-simplify]: Simplify -1 into -1 29.276 * [taylor]: Taking taylor expansion of k in k 29.276 * [backup-simplify]: Simplify 0 into 0 29.276 * [backup-simplify]: Simplify 1 into 1 29.276 * [backup-simplify]: Simplify (/ -1 1) into -1 29.277 * [backup-simplify]: Simplify (sqrt 0) into 0 29.278 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.278 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 29.279 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 29.282 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.284 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 29.285 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.294 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 29.294 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.295 * [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))))) 29.295 * * * * [progress]: [ 4 / 4 ] generating series at (2) 29.296 * [backup-simplify]: Simplify (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 29.296 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 29.296 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 29.296 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 29.296 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 29.296 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 29.296 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 29.296 * [taylor]: Taking taylor expansion of 1/2 in k 29.296 * [backup-simplify]: Simplify 1/2 into 1/2 29.296 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.296 * [taylor]: Taking taylor expansion of 1 in k 29.296 * [backup-simplify]: Simplify 1 into 1 29.296 * [taylor]: Taking taylor expansion of k in k 29.296 * [backup-simplify]: Simplify 0 into 0 29.296 * [backup-simplify]: Simplify 1 into 1 29.296 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 29.296 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 29.296 * [taylor]: Taking taylor expansion of 2 in k 29.296 * [backup-simplify]: Simplify 2 into 2 29.296 * [taylor]: Taking taylor expansion of (* n PI) in k 29.296 * [taylor]: Taking taylor expansion of n in k 29.296 * [backup-simplify]: Simplify n into n 29.296 * [taylor]: Taking taylor expansion of PI in k 29.296 * [backup-simplify]: Simplify PI into PI 29.296 * [backup-simplify]: Simplify (* n PI) into (* n PI) 29.297 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 29.297 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 29.297 * [backup-simplify]: Simplify (- 0) into 0 29.297 * [backup-simplify]: Simplify (+ 1 0) into 1 29.298 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.298 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 29.298 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 29.298 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.298 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.298 * [taylor]: Taking taylor expansion of k in k 29.298 * [backup-simplify]: Simplify 0 into 0 29.298 * [backup-simplify]: Simplify 1 into 1 29.299 * [backup-simplify]: Simplify (/ 1 1) into 1 29.299 * [backup-simplify]: Simplify (sqrt 0) into 0 29.301 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.301 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 29.301 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 29.301 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 29.301 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 29.301 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 29.301 * [taylor]: Taking taylor expansion of 1/2 in n 29.301 * [backup-simplify]: Simplify 1/2 into 1/2 29.301 * [taylor]: Taking taylor expansion of (- 1 k) in n 29.301 * [taylor]: Taking taylor expansion of 1 in n 29.301 * [backup-simplify]: Simplify 1 into 1 29.301 * [taylor]: Taking taylor expansion of k in n 29.301 * [backup-simplify]: Simplify k into k 29.301 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.301 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.301 * [taylor]: Taking taylor expansion of 2 in n 29.301 * [backup-simplify]: Simplify 2 into 2 29.301 * [taylor]: Taking taylor expansion of (* n PI) in n 29.301 * [taylor]: Taking taylor expansion of n in n 29.301 * [backup-simplify]: Simplify 0 into 0 29.301 * [backup-simplify]: Simplify 1 into 1 29.301 * [taylor]: Taking taylor expansion of PI in n 29.301 * [backup-simplify]: Simplify PI into PI 29.302 * [backup-simplify]: Simplify (* 0 PI) into 0 29.302 * [backup-simplify]: Simplify (* 2 0) into 0 29.304 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.305 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.306 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.306 * [backup-simplify]: Simplify (- k) into (- k) 29.306 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 29.307 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 29.308 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.309 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 29.311 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 29.311 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 29.311 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.311 * [taylor]: Taking taylor expansion of k in n 29.311 * [backup-simplify]: Simplify k into k 29.311 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.311 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 29.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 29.311 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 29.311 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 29.311 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 29.311 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 29.311 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 29.311 * [taylor]: Taking taylor expansion of 1/2 in n 29.311 * [backup-simplify]: Simplify 1/2 into 1/2 29.311 * [taylor]: Taking taylor expansion of (- 1 k) in n 29.311 * [taylor]: Taking taylor expansion of 1 in n 29.311 * [backup-simplify]: Simplify 1 into 1 29.311 * [taylor]: Taking taylor expansion of k in n 29.311 * [backup-simplify]: Simplify k into k 29.311 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.311 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.312 * [taylor]: Taking taylor expansion of 2 in n 29.312 * [backup-simplify]: Simplify 2 into 2 29.312 * [taylor]: Taking taylor expansion of (* n PI) in n 29.312 * [taylor]: Taking taylor expansion of n in n 29.312 * [backup-simplify]: Simplify 0 into 0 29.312 * [backup-simplify]: Simplify 1 into 1 29.312 * [taylor]: Taking taylor expansion of PI in n 29.312 * [backup-simplify]: Simplify PI into PI 29.312 * [backup-simplify]: Simplify (* 0 PI) into 0 29.313 * [backup-simplify]: Simplify (* 2 0) into 0 29.314 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.316 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.317 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.317 * [backup-simplify]: Simplify (- k) into (- k) 29.317 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 29.317 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 29.318 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.319 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 29.320 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 29.320 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 29.321 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.321 * [taylor]: Taking taylor expansion of k in n 29.321 * [backup-simplify]: Simplify k into k 29.321 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.321 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 29.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 29.322 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) 29.322 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 29.322 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 29.322 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 29.322 * [taylor]: Taking taylor expansion of 1/2 in k 29.322 * [backup-simplify]: Simplify 1/2 into 1/2 29.322 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 29.322 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.322 * [taylor]: Taking taylor expansion of 1 in k 29.322 * [backup-simplify]: Simplify 1 into 1 29.322 * [taylor]: Taking taylor expansion of k in k 29.322 * [backup-simplify]: Simplify 0 into 0 29.323 * [backup-simplify]: Simplify 1 into 1 29.323 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 29.323 * [taylor]: Taking taylor expansion of (log n) in k 29.323 * [taylor]: Taking taylor expansion of n in k 29.323 * [backup-simplify]: Simplify n into n 29.323 * [backup-simplify]: Simplify (log n) into (log n) 29.323 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.323 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.323 * [taylor]: Taking taylor expansion of 2 in k 29.323 * [backup-simplify]: Simplify 2 into 2 29.323 * [taylor]: Taking taylor expansion of PI in k 29.323 * [backup-simplify]: Simplify PI into PI 29.323 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.324 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.325 * [backup-simplify]: Simplify (- 0) into 0 29.325 * [backup-simplify]: Simplify (+ 1 0) into 1 29.326 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.327 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 29.328 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 29.329 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 29.329 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.329 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.329 * [taylor]: Taking taylor expansion of k in k 29.329 * [backup-simplify]: Simplify 0 into 0 29.329 * [backup-simplify]: Simplify 1 into 1 29.330 * [backup-simplify]: Simplify (/ 1 1) into 1 29.330 * [backup-simplify]: Simplify (sqrt 0) into 0 29.331 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.332 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 29.332 * [backup-simplify]: Simplify 0 into 0 29.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.335 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 29.336 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.337 * [backup-simplify]: Simplify (- 0) into 0 29.337 * [backup-simplify]: Simplify (+ 0 0) into 0 29.338 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 29.339 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.340 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 29.342 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.343 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 29.343 * [taylor]: Taking taylor expansion of 0 in k 29.343 * [backup-simplify]: Simplify 0 into 0 29.344 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 29.345 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.346 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.347 * [backup-simplify]: Simplify (+ 0 0) into 0 29.347 * [backup-simplify]: Simplify (- 1) into -1 29.348 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.355 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 29.357 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 29.360 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.364 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.365 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.366 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 29.367 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 29.368 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 29.372 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.372 * [backup-simplify]: Simplify (- 0) into 0 29.372 * [backup-simplify]: Simplify (+ 0 0) into 0 29.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 29.375 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.376 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.378 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.380 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 29.380 * [taylor]: Taking taylor expansion of 0 in k 29.380 * [backup-simplify]: Simplify 0 into 0 29.380 * [backup-simplify]: Simplify 0 into 0 29.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.384 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.386 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 29.387 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.391 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.391 * [backup-simplify]: Simplify (+ 0 0) into 0 29.392 * [backup-simplify]: Simplify (- 0) into 0 29.392 * [backup-simplify]: Simplify (+ 0 0) into 0 29.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.397 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.399 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 29.405 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 29.407 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 29.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.408 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 29.409 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.410 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 29.413 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 29.414 * [backup-simplify]: Simplify (- 0) into 0 29.414 * [backup-simplify]: Simplify (+ 0 0) into 0 29.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 29.416 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.417 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 29.419 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 29.420 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 29.420 * [taylor]: Taking taylor expansion of 0 in k 29.420 * [backup-simplify]: Simplify 0 into 0 29.420 * [backup-simplify]: Simplify 0 into 0 29.420 * [backup-simplify]: Simplify 0 into 0 29.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.423 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.425 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 29.425 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.430 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 29.431 * [backup-simplify]: Simplify (+ 0 0) into 0 29.431 * [backup-simplify]: Simplify (- 0) into 0 29.432 * [backup-simplify]: Simplify (+ 0 0) into 0 29.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 29.437 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 29.443 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.452 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 29.459 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 29.474 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 29.475 * [backup-simplify]: Simplify (* (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (/ 1 (sqrt (/ 1 k)))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 29.475 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 29.475 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 29.475 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 29.475 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 29.476 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 29.476 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 29.476 * [taylor]: Taking taylor expansion of 1/2 in k 29.476 * [backup-simplify]: Simplify 1/2 into 1/2 29.476 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.476 * [taylor]: Taking taylor expansion of 1 in k 29.476 * [backup-simplify]: Simplify 1 into 1 29.476 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.476 * [taylor]: Taking taylor expansion of k in k 29.476 * [backup-simplify]: Simplify 0 into 0 29.476 * [backup-simplify]: Simplify 1 into 1 29.476 * [backup-simplify]: Simplify (/ 1 1) into 1 29.476 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 29.476 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 29.476 * [taylor]: Taking taylor expansion of 2 in k 29.476 * [backup-simplify]: Simplify 2 into 2 29.476 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.476 * [taylor]: Taking taylor expansion of PI in k 29.476 * [backup-simplify]: Simplify PI into PI 29.476 * [taylor]: Taking taylor expansion of n in k 29.476 * [backup-simplify]: Simplify n into n 29.476 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.476 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 29.477 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 29.477 * [backup-simplify]: Simplify (- 1) into -1 29.477 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.478 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 29.478 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 29.478 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 29.478 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.478 * [taylor]: Taking taylor expansion of k in k 29.478 * [backup-simplify]: Simplify 0 into 0 29.478 * [backup-simplify]: Simplify 1 into 1 29.479 * [backup-simplify]: Simplify (sqrt 0) into 0 29.480 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.480 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 29.480 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 29.480 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 29.480 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 29.481 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 29.481 * [taylor]: Taking taylor expansion of 1/2 in n 29.481 * [backup-simplify]: Simplify 1/2 into 1/2 29.481 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.481 * [taylor]: Taking taylor expansion of 1 in n 29.481 * [backup-simplify]: Simplify 1 into 1 29.481 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.481 * [taylor]: Taking taylor expansion of k in n 29.481 * [backup-simplify]: Simplify k into k 29.481 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.481 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.481 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.481 * [taylor]: Taking taylor expansion of 2 in n 29.481 * [backup-simplify]: Simplify 2 into 2 29.481 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.481 * [taylor]: Taking taylor expansion of PI in n 29.481 * [backup-simplify]: Simplify PI into PI 29.481 * [taylor]: Taking taylor expansion of n in n 29.481 * [backup-simplify]: Simplify 0 into 0 29.481 * [backup-simplify]: Simplify 1 into 1 29.481 * [backup-simplify]: Simplify (/ PI 1) into PI 29.482 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.483 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.483 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.483 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.483 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 29.485 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.486 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.487 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.487 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.487 * [taylor]: Taking taylor expansion of k in n 29.487 * [backup-simplify]: Simplify k into k 29.487 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.487 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 29.487 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 29.487 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 29.487 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 29.487 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 29.487 * [taylor]: Taking taylor expansion of 1/2 in n 29.487 * [backup-simplify]: Simplify 1/2 into 1/2 29.487 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.487 * [taylor]: Taking taylor expansion of 1 in n 29.487 * [backup-simplify]: Simplify 1 into 1 29.487 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.487 * [taylor]: Taking taylor expansion of k in n 29.487 * [backup-simplify]: Simplify k into k 29.487 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.487 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.487 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.487 * [taylor]: Taking taylor expansion of 2 in n 29.487 * [backup-simplify]: Simplify 2 into 2 29.487 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.488 * [taylor]: Taking taylor expansion of PI in n 29.488 * [backup-simplify]: Simplify PI into PI 29.488 * [taylor]: Taking taylor expansion of n in n 29.488 * [backup-simplify]: Simplify 0 into 0 29.488 * [backup-simplify]: Simplify 1 into 1 29.488 * [backup-simplify]: Simplify (/ PI 1) into PI 29.489 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.489 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.490 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.490 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.490 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 29.491 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.491 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.492 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.492 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.492 * [taylor]: Taking taylor expansion of k in n 29.492 * [backup-simplify]: Simplify k into k 29.492 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.493 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) 29.493 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 29.493 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 29.493 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 29.493 * [taylor]: Taking taylor expansion of 1/2 in k 29.493 * [backup-simplify]: Simplify 1/2 into 1/2 29.493 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 29.493 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.493 * [taylor]: Taking taylor expansion of 1 in k 29.493 * [backup-simplify]: Simplify 1 into 1 29.493 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.493 * [taylor]: Taking taylor expansion of k in k 29.493 * [backup-simplify]: Simplify 0 into 0 29.493 * [backup-simplify]: Simplify 1 into 1 29.494 * [backup-simplify]: Simplify (/ 1 1) into 1 29.494 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 29.494 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.494 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.494 * [taylor]: Taking taylor expansion of 2 in k 29.494 * [backup-simplify]: Simplify 2 into 2 29.494 * [taylor]: Taking taylor expansion of PI in k 29.494 * [backup-simplify]: Simplify PI into PI 29.494 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.495 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.495 * [taylor]: Taking taylor expansion of (log n) in k 29.495 * [taylor]: Taking taylor expansion of n in k 29.495 * [backup-simplify]: Simplify n into n 29.495 * [backup-simplify]: Simplify (log n) into (log n) 29.495 * [backup-simplify]: Simplify (- 1) into -1 29.495 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.495 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.496 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 29.496 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 29.497 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 29.498 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.498 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.498 * [taylor]: Taking taylor expansion of k in k 29.498 * [backup-simplify]: Simplify 0 into 0 29.498 * [backup-simplify]: Simplify 1 into 1 29.498 * [backup-simplify]: Simplify (sqrt 0) into 0 29.499 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.500 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 29.500 * [backup-simplify]: Simplify 0 into 0 29.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.501 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.502 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.502 * [backup-simplify]: Simplify (- 0) into 0 29.502 * [backup-simplify]: Simplify (+ 0 0) into 0 29.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 29.503 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.504 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 29.505 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.506 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 29.506 * [taylor]: Taking taylor expansion of 0 in k 29.506 * [backup-simplify]: Simplify 0 into 0 29.506 * [backup-simplify]: Simplify 0 into 0 29.507 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.508 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.508 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 29.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.509 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.511 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.511 * [backup-simplify]: Simplify (- 0) into 0 29.512 * [backup-simplify]: Simplify (+ 0 0) into 0 29.512 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 29.513 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.514 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 29.515 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.516 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 29.516 * [taylor]: Taking taylor expansion of 0 in k 29.516 * [backup-simplify]: Simplify 0 into 0 29.516 * [backup-simplify]: Simplify 0 into 0 29.517 * [backup-simplify]: Simplify 0 into 0 29.518 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.520 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.521 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.523 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 29.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.525 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.531 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 29.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.532 * [backup-simplify]: Simplify (- 0) into 0 29.532 * [backup-simplify]: Simplify (+ 0 0) into 0 29.533 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 29.535 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.537 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 29.539 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 29.541 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 29.541 * [taylor]: Taking taylor expansion of 0 in k 29.541 * [backup-simplify]: Simplify 0 into 0 29.542 * [backup-simplify]: Simplify 0 into 0 29.542 * [backup-simplify]: Simplify 0 into 0 29.542 * [backup-simplify]: Simplify 0 into 0 29.546 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.548 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.549 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.553 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 29.554 * [backup-simplify]: Simplify (* (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (/ 1 (sqrt (/ 1 (- k))))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 29.554 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 29.554 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 29.554 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 29.554 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 29.554 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 29.554 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 29.554 * [taylor]: Taking taylor expansion of 1/2 in k 29.554 * [backup-simplify]: Simplify 1/2 into 1/2 29.554 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.554 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.554 * [taylor]: Taking taylor expansion of k in k 29.554 * [backup-simplify]: Simplify 0 into 0 29.554 * [backup-simplify]: Simplify 1 into 1 29.554 * [backup-simplify]: Simplify (/ 1 1) into 1 29.555 * [taylor]: Taking taylor expansion of 1 in k 29.555 * [backup-simplify]: Simplify 1 into 1 29.555 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 29.555 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 29.555 * [taylor]: Taking taylor expansion of -2 in k 29.555 * [backup-simplify]: Simplify -2 into -2 29.555 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.555 * [taylor]: Taking taylor expansion of PI in k 29.555 * [backup-simplify]: Simplify PI into PI 29.555 * [taylor]: Taking taylor expansion of n in k 29.555 * [backup-simplify]: Simplify n into n 29.555 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.555 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 29.555 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 29.555 * [backup-simplify]: Simplify (+ 1 0) into 1 29.556 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.556 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 29.556 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 29.556 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.556 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.556 * [taylor]: Taking taylor expansion of -1 in k 29.556 * [backup-simplify]: Simplify -1 into -1 29.556 * [taylor]: Taking taylor expansion of k in k 29.556 * [backup-simplify]: Simplify 0 into 0 29.556 * [backup-simplify]: Simplify 1 into 1 29.557 * [backup-simplify]: Simplify (/ -1 1) into -1 29.557 * [backup-simplify]: Simplify (sqrt 0) into 0 29.559 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.559 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 29.559 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 29.559 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 29.559 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 29.559 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 29.559 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 29.559 * [taylor]: Taking taylor expansion of 1/2 in n 29.559 * [backup-simplify]: Simplify 1/2 into 1/2 29.559 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.559 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.559 * [taylor]: Taking taylor expansion of k in n 29.559 * [backup-simplify]: Simplify k into k 29.559 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.560 * [taylor]: Taking taylor expansion of 1 in n 29.560 * [backup-simplify]: Simplify 1 into 1 29.560 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.560 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.560 * [taylor]: Taking taylor expansion of -2 in n 29.560 * [backup-simplify]: Simplify -2 into -2 29.560 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.560 * [taylor]: Taking taylor expansion of PI in n 29.560 * [backup-simplify]: Simplify PI into PI 29.560 * [taylor]: Taking taylor expansion of n in n 29.560 * [backup-simplify]: Simplify 0 into 0 29.560 * [backup-simplify]: Simplify 1 into 1 29.560 * [backup-simplify]: Simplify (/ PI 1) into PI 29.561 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.562 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.562 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.562 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 29.563 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.564 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.565 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.565 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 29.566 * [taylor]: Taking taylor expansion of (/ -1 k) in n 29.566 * [taylor]: Taking taylor expansion of -1 in n 29.566 * [backup-simplify]: Simplify -1 into -1 29.566 * [taylor]: Taking taylor expansion of k in n 29.566 * [backup-simplify]: Simplify k into k 29.566 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 29.566 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 29.566 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 29.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 29.567 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) 29.567 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 29.567 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 29.567 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 29.567 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 29.567 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 29.567 * [taylor]: Taking taylor expansion of 1/2 in n 29.568 * [backup-simplify]: Simplify 1/2 into 1/2 29.568 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.568 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.568 * [taylor]: Taking taylor expansion of k in n 29.568 * [backup-simplify]: Simplify k into k 29.568 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.568 * [taylor]: Taking taylor expansion of 1 in n 29.568 * [backup-simplify]: Simplify 1 into 1 29.568 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.568 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.568 * [taylor]: Taking taylor expansion of -2 in n 29.568 * [backup-simplify]: Simplify -2 into -2 29.568 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.568 * [taylor]: Taking taylor expansion of PI in n 29.568 * [backup-simplify]: Simplify PI into PI 29.568 * [taylor]: Taking taylor expansion of n in n 29.568 * [backup-simplify]: Simplify 0 into 0 29.568 * [backup-simplify]: Simplify 1 into 1 29.569 * [backup-simplify]: Simplify (/ PI 1) into PI 29.569 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.570 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.570 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.570 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 29.572 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.573 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.574 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.574 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 29.574 * [taylor]: Taking taylor expansion of (/ -1 k) in n 29.574 * [taylor]: Taking taylor expansion of -1 in n 29.574 * [backup-simplify]: Simplify -1 into -1 29.574 * [taylor]: Taking taylor expansion of k in n 29.574 * [backup-simplify]: Simplify k into k 29.574 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 29.574 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 29.574 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 29.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 29.576 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) 29.576 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 29.576 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 29.576 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 29.576 * [taylor]: Taking taylor expansion of 1/2 in k 29.576 * [backup-simplify]: Simplify 1/2 into 1/2 29.576 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 29.576 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.576 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.576 * [taylor]: Taking taylor expansion of k in k 29.576 * [backup-simplify]: Simplify 0 into 0 29.576 * [backup-simplify]: Simplify 1 into 1 29.577 * [backup-simplify]: Simplify (/ 1 1) into 1 29.577 * [taylor]: Taking taylor expansion of 1 in k 29.577 * [backup-simplify]: Simplify 1 into 1 29.577 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 29.577 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 29.577 * [taylor]: Taking taylor expansion of (* -2 PI) in k 29.577 * [taylor]: Taking taylor expansion of -2 in k 29.577 * [backup-simplify]: Simplify -2 into -2 29.577 * [taylor]: Taking taylor expansion of PI in k 29.577 * [backup-simplify]: Simplify PI into PI 29.577 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.578 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.578 * [taylor]: Taking taylor expansion of (log n) in k 29.578 * [taylor]: Taking taylor expansion of n in k 29.578 * [backup-simplify]: Simplify n into n 29.578 * [backup-simplify]: Simplify (log n) into (log n) 29.579 * [backup-simplify]: Simplify (+ 1 0) into 1 29.579 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.586 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 29.588 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 29.589 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 29.590 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.590 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.590 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.590 * [taylor]: Taking taylor expansion of -1 in k 29.590 * [backup-simplify]: Simplify -1 into -1 29.590 * [taylor]: Taking taylor expansion of k in k 29.590 * [backup-simplify]: Simplify 0 into 0 29.590 * [backup-simplify]: Simplify 1 into 1 29.590 * [backup-simplify]: Simplify (/ -1 1) into -1 29.591 * [backup-simplify]: Simplify (sqrt 0) into 0 29.592 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.593 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 29.594 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 29.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.596 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 29.598 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 29.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.598 * [backup-simplify]: Simplify (+ 0 0) into 0 29.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 29.600 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.601 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 29.603 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.604 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 29.604 * [taylor]: Taking taylor expansion of 0 in k 29.604 * [backup-simplify]: Simplify 0 into 0 29.604 * [backup-simplify]: Simplify 0 into 0 29.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 29.608 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.610 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 29.611 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 29.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.613 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 29.617 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 29.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.618 * [backup-simplify]: Simplify (+ 0 0) into 0 29.618 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 29.619 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.620 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 29.622 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.622 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.622 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 29.623 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 29.623 * [taylor]: Taking taylor expansion of 0 in k 29.623 * [backup-simplify]: Simplify 0 into 0 29.623 * [backup-simplify]: Simplify 0 into 0 29.623 * [backup-simplify]: Simplify 0 into 0 29.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.626 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.628 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 29.629 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 29.631 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 29.631 * * * [progress]: simplifying candidates 29.631 * * * * [progress]: [ 1 / 197 ] simplifiying candidate # 29.632 * * * * [progress]: [ 2 / 197 ] simplifiying candidate # 29.632 * * * * [progress]: [ 3 / 197 ] simplifiying candidate # 29.632 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 29.632 * * [simplify]: iters left: 6 (13 enodes) 29.636 * * [simplify]: iters left: 5 (54 enodes) 29.645 * * [simplify]: iters left: 4 (97 enodes) 29.682 * * [simplify]: iters left: 3 (250 enodes) 29.793 * * [simplify]: Extracting #0: cost 1 inf + 0 29.793 * * [simplify]: Extracting #1: cost 34 inf + 0 29.794 * * [simplify]: Extracting #2: cost 100 inf + 73 29.794 * * [simplify]: Extracting #3: cost 126 inf + 1867 29.797 * * [simplify]: Extracting #4: cost 46 inf + 20363 29.804 * * [simplify]: Extracting #5: cost 5 inf + 31901 29.811 * * [simplify]: Extracting #6: cost 0 inf + 33789 29.821 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 29.821 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (/ 1 (sqrt k)))) 29.822 * * * * [progress]: [ 4 / 197 ] simplifiying candidate # 29.822 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 29.822 * * [simplify]: iters left: 6 (12 enodes) 29.829 * * [simplify]: iters left: 5 (52 enodes) 29.847 * * [simplify]: iters left: 4 (90 enodes) 29.869 * * [simplify]: iters left: 3 (207 enodes) 29.963 * * [simplify]: Extracting #0: cost 1 inf + 0 29.963 * * [simplify]: Extracting #1: cost 29 inf + 0 29.963 * * [simplify]: Extracting #2: cost 88 inf + 73 29.964 * * [simplify]: Extracting #3: cost 117 inf + 443 29.967 * * [simplify]: Extracting #4: cost 77 inf + 5789 29.973 * * [simplify]: Extracting #5: cost 28 inf + 17508 29.984 * * [simplify]: Extracting #6: cost 0 inf + 26056 29.995 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 29.995 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (/ 1 (sqrt k)))) 29.996 * * * * [progress]: [ 5 / 197 ] simplifiying candidate # 29.996 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 29.996 * * [simplify]: iters left: 6 (11 enodes) 30.002 * * [simplify]: iters left: 5 (51 enodes) 30.025 * * [simplify]: iters left: 4 (97 enodes) 30.059 * * [simplify]: iters left: 3 (201 enodes) 30.139 * * [simplify]: Extracting #0: cost 1 inf + 0 30.139 * * [simplify]: Extracting #1: cost 31 inf + 0 30.139 * * [simplify]: Extracting #2: cost 94 inf + 2 30.140 * * [simplify]: Extracting #3: cost 127 inf + 355 30.143 * * [simplify]: Extracting #4: cost 75 inf + 7402 30.149 * * [simplify]: Extracting #5: cost 31 inf + 16283 30.159 * * [simplify]: Extracting #6: cost 3 inf + 23308 30.169 * * [simplify]: Extracting #7: cost 0 inf + 24140 30.181 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 30.181 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (/ 1 (sqrt k)))) 30.181 * * * * [progress]: [ 6 / 197 ] simplifiying candidate # 30.181 * * * * [progress]: [ 7 / 197 ] simplifiying candidate # 30.182 * [simplify]: Simplifying (* n (* 2 PI)) 30.182 * * [simplify]: iters left: 4 (5 enodes) 30.185 * * [simplify]: iters left: 3 (19 enodes) 30.191 * * [simplify]: iters left: 2 (27 enodes) 30.199 * * [simplify]: iters left: 1 (32 enodes) 30.207 * * [simplify]: Extracting #0: cost 1 inf + 0 30.207 * * [simplify]: Extracting #1: cost 8 inf + 0 30.207 * * [simplify]: Extracting #2: cost 7 inf + 45 30.207 * * [simplify]: Extracting #3: cost 0 inf + 421 30.208 * [simplify]: Simplified to (* (* PI 2) n) 30.208 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 30.208 * * * * [progress]: [ 8 / 197 ] simplifiying candidate # 30.208 * [simplify]: Simplifying (* n (* 2 PI)) 30.208 * * [simplify]: iters left: 4 (5 enodes) 30.211 * * [simplify]: iters left: 3 (19 enodes) 30.217 * * [simplify]: iters left: 2 (27 enodes) 30.225 * * [simplify]: iters left: 1 (32 enodes) 30.233 * * [simplify]: Extracting #0: cost 1 inf + 0 30.233 * * [simplify]: Extracting #1: cost 8 inf + 0 30.233 * * [simplify]: Extracting #2: cost 7 inf + 45 30.233 * * [simplify]: Extracting #3: cost 0 inf + 421 30.233 * [simplify]: Simplified to (* (* PI 2) n) 30.233 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 30.234 * * * * [progress]: [ 9 / 197 ] simplifiying candidate # 30.234 * [simplify]: Simplifying (* n (* 2 PI)) 30.234 * * [simplify]: iters left: 4 (5 enodes) 30.237 * * [simplify]: iters left: 3 (19 enodes) 30.243 * * [simplify]: iters left: 2 (27 enodes) 30.251 * * [simplify]: iters left: 1 (32 enodes) 30.258 * * [simplify]: Extracting #0: cost 1 inf + 0 30.259 * * [simplify]: Extracting #1: cost 8 inf + 0 30.259 * * [simplify]: Extracting #2: cost 7 inf + 45 30.259 * * [simplify]: Extracting #3: cost 0 inf + 421 30.259 * [simplify]: Simplified to (* (* PI 2) n) 30.259 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 30.259 * * * * [progress]: [ 10 / 197 ] simplifiying candidate # 30.260 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 30.260 * * [simplify]: iters left: 5 (8 enodes) 30.263 * * [simplify]: iters left: 4 (31 enodes) 30.276 * * [simplify]: iters left: 3 (51 enodes) 30.292 * * [simplify]: iters left: 2 (85 enodes) 30.320 * * [simplify]: iters left: 1 (152 enodes) 30.355 * * [simplify]: Extracting #0: cost 1 inf + 0 30.355 * * [simplify]: Extracting #1: cost 13 inf + 0 30.355 * * [simplify]: Extracting #2: cost 59 inf + 1 30.355 * * [simplify]: Extracting #3: cost 76 inf + 9 30.356 * * [simplify]: Extracting #4: cost 41 inf + 3303 30.357 * * [simplify]: Extracting #5: cost 16 inf + 10676 30.360 * * [simplify]: Extracting #6: cost 0 inf + 21028 30.363 * * [simplify]: Extracting #7: cost 0 inf + 20456 30.365 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 30.365 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (/ 1 (sqrt k)))) 30.365 * * * * [progress]: [ 11 / 197 ] simplifiying candidate # 30.366 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 30.366 * * [simplify]: iters left: 5 (6 enodes) 30.368 * * [simplify]: iters left: 4 (26 enodes) 30.372 * * [simplify]: iters left: 3 (35 enodes) 30.380 * * [simplify]: Extracting #0: cost 1 inf + 0 30.380 * * [simplify]: Extracting #1: cost 3 inf + 0 30.380 * * [simplify]: Extracting #2: cost 8 inf + 0 30.380 * * [simplify]: Extracting #3: cost 11 inf + 2 30.380 * * [simplify]: Extracting #4: cost 8 inf + 87 30.380 * * [simplify]: Extracting #5: cost 2 inf + 500 30.380 * * [simplify]: Extracting #6: cost 0 inf + 746 30.380 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 30.380 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 30.380 * * * * [progress]: [ 12 / 197 ] simplifiying candidate # 30.381 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 30.381 * * [simplify]: iters left: 5 (6 enodes) 30.383 * * [simplify]: iters left: 4 (26 enodes) 30.388 * * [simplify]: iters left: 3 (35 enodes) 30.398 * * [simplify]: Extracting #0: cost 1 inf + 0 30.398 * * [simplify]: Extracting #1: cost 3 inf + 0 30.398 * * [simplify]: Extracting #2: cost 8 inf + 0 30.398 * * [simplify]: Extracting #3: cost 11 inf + 2 30.398 * * [simplify]: Extracting #4: cost 8 inf + 87 30.398 * * [simplify]: Extracting #5: cost 2 inf + 460 30.399 * * [simplify]: Extracting #6: cost 0 inf + 666 30.399 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 30.399 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 30.399 * * * * [progress]: [ 13 / 197 ] simplifiying candidate # 30.400 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 30.400 * * [simplify]: iters left: 5 (7 enodes) 30.404 * * [simplify]: iters left: 4 (25 enodes) 30.413 * * [simplify]: iters left: 3 (30 enodes) 30.423 * * [simplify]: Extracting #0: cost 1 inf + 0 30.423 * * [simplify]: Extracting #1: cost 4 inf + 0 30.423 * * [simplify]: Extracting #2: cost 8 inf + 0 30.423 * * [simplify]: Extracting #3: cost 10 inf + 82 30.423 * * [simplify]: Extracting #4: cost 7 inf + 206 30.423 * * [simplify]: Extracting #5: cost 2 inf + 575 30.424 * * [simplify]: Extracting #6: cost 1 inf + 818 30.424 * * [simplify]: Extracting #7: cost 0 inf + 1061 30.424 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 30.424 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (/ 1 (sqrt k)))) 30.424 * * * * [progress]: [ 14 / 197 ] simplifiying candidate # 30.425 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 30.425 * * [simplify]: iters left: 5 (7 enodes) 30.430 * * [simplify]: iters left: 4 (25 enodes) 30.439 * * [simplify]: iters left: 3 (30 enodes) 30.448 * * [simplify]: Extracting #0: cost 1 inf + 0 30.448 * * [simplify]: Extracting #1: cost 4 inf + 0 30.448 * * [simplify]: Extracting #2: cost 8 inf + 0 30.448 * * [simplify]: Extracting #3: cost 10 inf + 42 30.448 * * [simplify]: Extracting #4: cost 7 inf + 126 30.449 * * [simplify]: Extracting #5: cost 2 inf + 495 30.449 * * [simplify]: Extracting #6: cost 1 inf + 698 30.449 * * [simplify]: Extracting #7: cost 0 inf + 901 30.449 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 30.449 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (/ 1 (sqrt k)))) 30.450 * * * * [progress]: [ 15 / 197 ] simplifiying candidate # 30.450 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 30.450 * * [simplify]: iters left: 5 (6 enodes) 30.453 * * [simplify]: iters left: 4 (22 enodes) 30.460 * * [simplify]: iters left: 3 (27 enodes) 30.469 * * [simplify]: Extracting #0: cost 1 inf + 0 30.469 * * [simplify]: Extracting #1: cost 4 inf + 0 30.469 * * [simplify]: Extracting #2: cost 5 inf + 1 30.469 * * [simplify]: Extracting #3: cost 9 inf + 1 30.469 * * [simplify]: Extracting #4: cost 8 inf + 3 30.469 * * [simplify]: Extracting #5: cost 4 inf + 169 30.469 * * [simplify]: Extracting #6: cost 1 inf + 576 30.470 * * [simplify]: Extracting #7: cost 0 inf + 739 30.470 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 30.470 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (/ 1 (sqrt k)))) 30.470 * * * * [progress]: [ 16 / 197 ] simplifiying candidate # 30.470 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 30.470 * * [simplify]: iters left: 5 (7 enodes) 30.474 * * [simplify]: iters left: 4 (25 enodes) 30.483 * * [simplify]: iters left: 3 (30 enodes) 30.492 * * [simplify]: Extracting #0: cost 1 inf + 0 30.492 * * [simplify]: Extracting #1: cost 4 inf + 0 30.492 * * [simplify]: Extracting #2: cost 8 inf + 0 30.492 * * [simplify]: Extracting #3: cost 10 inf + 82 30.492 * * [simplify]: Extracting #4: cost 7 inf + 206 30.493 * * [simplify]: Extracting #5: cost 2 inf + 495 30.493 * * [simplify]: Extracting #6: cost 1 inf + 698 30.493 * * [simplify]: Extracting #7: cost 0 inf + 901 30.493 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 30.493 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (/ 1 (sqrt k)))) 30.494 * * * * [progress]: [ 17 / 197 ] simplifiying candidate # 30.494 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 30.494 * * [simplify]: iters left: 5 (7 enodes) 30.498 * * [simplify]: iters left: 4 (25 enodes) 30.506 * * [simplify]: iters left: 3 (30 enodes) 30.515 * * [simplify]: Extracting #0: cost 1 inf + 0 30.515 * * [simplify]: Extracting #1: cost 4 inf + 0 30.515 * * [simplify]: Extracting #2: cost 8 inf + 0 30.516 * * [simplify]: Extracting #3: cost 10 inf + 42 30.516 * * [simplify]: Extracting #4: cost 7 inf + 126 30.516 * * [simplify]: Extracting #5: cost 2 inf + 415 30.516 * * [simplify]: Extracting #6: cost 1 inf + 578 30.516 * * [simplify]: Extracting #7: cost 0 inf + 741 30.517 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 30.517 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (/ 1 (sqrt k)))) 30.517 * * * * [progress]: [ 18 / 197 ] simplifiying candidate # 30.517 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 30.517 * * [simplify]: iters left: 5 (6 enodes) 30.524 * * [simplify]: iters left: 4 (22 enodes) 30.531 * * [simplify]: iters left: 3 (27 enodes) 30.539 * * [simplify]: Extracting #0: cost 1 inf + 0 30.539 * * [simplify]: Extracting #1: cost 4 inf + 0 30.539 * * [simplify]: Extracting #2: cost 5 inf + 1 30.539 * * [simplify]: Extracting #3: cost 9 inf + 1 30.539 * * [simplify]: Extracting #4: cost 8 inf + 3 30.540 * * [simplify]: Extracting #5: cost 4 inf + 169 30.540 * * [simplify]: Extracting #6: cost 1 inf + 456 30.540 * * [simplify]: Extracting #7: cost 0 inf + 579 30.540 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 30.540 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (/ 1 (sqrt k)))) 30.541 * * * * [progress]: [ 19 / 197 ] simplifiying candidate # 30.541 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 30.541 * * [simplify]: iters left: 4 (6 enodes) 30.545 * * [simplify]: iters left: 3 (25 enodes) 30.553 * * [simplify]: iters left: 2 (36 enodes) 30.564 * * [simplify]: iters left: 1 (40 enodes) 30.570 * * [simplify]: Extracting #0: cost 1 inf + 0 30.570 * * [simplify]: Extracting #1: cost 7 inf + 0 30.570 * * [simplify]: Extracting #2: cost 16 inf + 0 30.570 * * [simplify]: Extracting #3: cost 13 inf + 44 30.570 * * [simplify]: Extracting #4: cost 3 inf + 1103 30.570 * * [simplify]: Extracting #5: cost 0 inf + 1469 30.571 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 30.571 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k)))) 30.571 * * * * [progress]: [ 20 / 197 ] simplifiying candidate # 30.571 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 30.571 * * [simplify]: iters left: 4 (6 enodes) 30.573 * * [simplify]: iters left: 3 (25 enodes) 30.578 * * [simplify]: iters left: 2 (36 enodes) 30.584 * * [simplify]: iters left: 1 (40 enodes) 30.589 * * [simplify]: Extracting #0: cost 1 inf + 0 30.590 * * [simplify]: Extracting #1: cost 7 inf + 0 30.590 * * [simplify]: Extracting #2: cost 16 inf + 0 30.590 * * [simplify]: Extracting #3: cost 13 inf + 44 30.590 * * [simplify]: Extracting #4: cost 3 inf + 823 30.590 * * [simplify]: Extracting #5: cost 0 inf + 1069 30.590 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 30.590 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k)))) 30.590 * * * * [progress]: [ 21 / 197 ] simplifiying candidate # 30.591 * [simplify]: Simplifying (/ (- 1 k) 2) 30.591 * * [simplify]: iters left: 4 (5 enodes) 30.593 * * [simplify]: iters left: 3 (23 enodes) 30.596 * * [simplify]: iters left: 2 (32 enodes) 30.601 * * [simplify]: Extracting #0: cost 1 inf + 0 30.601 * * [simplify]: Extracting #1: cost 6 inf + 0 30.601 * * [simplify]: Extracting #2: cost 9 inf + 2 30.601 * * [simplify]: Extracting #3: cost 6 inf + 87 30.602 * * [simplify]: Extracting #4: cost 0 inf + 420 30.602 * [simplify]: Simplified to (/ (- 1 k) 2) 30.602 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 30.602 * * * * [progress]: [ 22 / 197 ] simplifiying candidate # 30.602 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 30.602 * * [simplify]: iters left: 5 (8 enodes) 30.605 * * [simplify]: iters left: 4 (31 enodes) 30.610 * * [simplify]: iters left: 3 (45 enodes) 30.617 * * [simplify]: iters left: 2 (51 enodes) 30.626 * * [simplify]: iters left: 1 (52 enodes) 30.640 * * [simplify]: Extracting #0: cost 1 inf + 0 30.640 * * [simplify]: Extracting #1: cost 8 inf + 0 30.640 * * [simplify]: Extracting #2: cost 18 inf + 0 30.640 * * [simplify]: Extracting #3: cost 19 inf + 2 30.640 * * [simplify]: Extracting #4: cost 9 inf + 977 30.641 * * [simplify]: Extracting #5: cost 2 inf + 1790 30.641 * * [simplify]: Extracting #6: cost 0 inf + 2195 30.642 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 30.642 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k)))) 30.642 * * * * [progress]: [ 23 / 197 ] simplifiying candidate # 30.643 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 30.643 * * [simplify]: iters left: 5 (8 enodes) 30.648 * * [simplify]: iters left: 4 (31 enodes) 30.658 * * [simplify]: iters left: 3 (45 enodes) 30.670 * * [simplify]: iters left: 2 (51 enodes) 30.684 * * [simplify]: iters left: 1 (52 enodes) 30.694 * * [simplify]: Extracting #0: cost 1 inf + 0 30.694 * * [simplify]: Extracting #1: cost 8 inf + 0 30.694 * * [simplify]: Extracting #2: cost 18 inf + 0 30.695 * * [simplify]: Extracting #3: cost 19 inf + 2 30.695 * * [simplify]: Extracting #4: cost 9 inf + 697 30.695 * * [simplify]: Extracting #5: cost 2 inf + 1390 30.695 * * [simplify]: Extracting #6: cost 0 inf + 1715 30.696 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 30.696 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k)))) 30.696 * * * * [progress]: [ 24 / 197 ] simplifiying candidate # 30.696 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 30.696 * * [simplify]: iters left: 5 (7 enodes) 30.699 * * [simplify]: iters left: 4 (29 enodes) 30.703 * * [simplify]: iters left: 3 (43 enodes) 30.709 * * [simplify]: iters left: 2 (47 enodes) 30.715 * * [simplify]: Extracting #0: cost 1 inf + 0 30.715 * * [simplify]: Extracting #1: cost 7 inf + 0 30.715 * * [simplify]: Extracting #2: cost 11 inf + 2 30.715 * * [simplify]: Extracting #3: cost 13 inf + 3 30.715 * * [simplify]: Extracting #4: cost 11 inf + 45 30.715 * * [simplify]: Extracting #5: cost 0 inf + 1066 30.716 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 30.716 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 30.716 * * * * [progress]: [ 25 / 197 ] simplifiying candidate # 30.716 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 30.716 * * [simplify]: iters left: 5 (7 enodes) 30.718 * * [simplify]: iters left: 4 (28 enodes) 30.723 * * [simplify]: iters left: 3 (39 enodes) 30.735 * * [simplify]: iters left: 2 (43 enodes) 30.751 * * [simplify]: Extracting #0: cost 1 inf + 0 30.751 * * [simplify]: Extracting #1: cost 7 inf + 0 30.751 * * [simplify]: Extracting #2: cost 16 inf + 0 30.751 * * [simplify]: Extracting #3: cost 15 inf + 164 30.751 * * [simplify]: Extracting #4: cost 13 inf + 287 30.751 * * [simplify]: Extracting #5: cost 5 inf + 1180 30.752 * * [simplify]: Extracting #6: cost 0 inf + 1951 30.752 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 30.752 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k)))) 30.753 * * * * [progress]: [ 26 / 197 ] simplifiying candidate # 30.753 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 30.753 * * [simplify]: iters left: 5 (7 enodes) 30.757 * * [simplify]: iters left: 4 (28 enodes) 30.766 * * [simplify]: iters left: 3 (39 enodes) 30.778 * * [simplify]: iters left: 2 (43 enodes) 30.791 * * [simplify]: Extracting #0: cost 1 inf + 0 30.791 * * [simplify]: Extracting #1: cost 7 inf + 0 30.791 * * [simplify]: Extracting #2: cost 16 inf + 0 30.792 * * [simplify]: Extracting #3: cost 15 inf + 84 30.792 * * [simplify]: Extracting #4: cost 13 inf + 167 30.792 * * [simplify]: Extracting #5: cost 5 inf + 900 30.793 * * [simplify]: Extracting #6: cost 0 inf + 1551 30.793 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 30.793 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k)))) 30.793 * * * * [progress]: [ 27 / 197 ] simplifiying candidate # 30.794 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 30.794 * * [simplify]: iters left: 5 (6 enodes) 30.798 * * [simplify]: iters left: 4 (26 enodes) 30.806 * * [simplify]: iters left: 3 (35 enodes) 30.816 * * [simplify]: Extracting #0: cost 1 inf + 0 30.816 * * [simplify]: Extracting #1: cost 6 inf + 0 30.816 * * [simplify]: Extracting #2: cost 9 inf + 2 30.816 * * [simplify]: Extracting #3: cost 11 inf + 3 30.816 * * [simplify]: Extracting #4: cost 10 inf + 4 30.816 * * [simplify]: Extracting #5: cost 3 inf + 535 30.817 * * [simplify]: Extracting #6: cost 0 inf + 822 30.817 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 30.817 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 30.817 * * * * [progress]: [ 28 / 197 ] simplifiying candidate # 30.818 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 30.818 * * [simplify]: iters left: 4 (6 enodes) 30.822 * * [simplify]: iters left: 3 (25 enodes) 30.830 * * [simplify]: iters left: 2 (36 enodes) 30.841 * * [simplify]: iters left: 1 (40 enodes) 30.853 * * [simplify]: Extracting #0: cost 1 inf + 0 30.853 * * [simplify]: Extracting #1: cost 7 inf + 0 30.853 * * [simplify]: Extracting #2: cost 16 inf + 0 30.853 * * [simplify]: Extracting #3: cost 13 inf + 44 30.854 * * [simplify]: Extracting #4: cost 3 inf + 1103 30.854 * * [simplify]: Extracting #5: cost 0 inf + 1469 30.855 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 30.855 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k)))) 30.855 * * * * [progress]: [ 29 / 197 ] simplifiying candidate # 30.855 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 30.855 * * [simplify]: iters left: 4 (6 enodes) 30.859 * * [simplify]: iters left: 3 (25 enodes) 30.867 * * [simplify]: iters left: 2 (36 enodes) 30.878 * * [simplify]: iters left: 1 (40 enodes) 30.891 * * [simplify]: Extracting #0: cost 1 inf + 0 30.891 * * [simplify]: Extracting #1: cost 7 inf + 0 30.891 * * [simplify]: Extracting #2: cost 16 inf + 0 30.891 * * [simplify]: Extracting #3: cost 13 inf + 44 30.891 * * [simplify]: Extracting #4: cost 3 inf + 823 30.892 * * [simplify]: Extracting #5: cost 0 inf + 1069 30.892 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 30.892 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k)))) 30.893 * * * * [progress]: [ 30 / 197 ] simplifiying candidate # 30.893 * [simplify]: Simplifying (/ (- 1 k) 2) 30.893 * * [simplify]: iters left: 4 (5 enodes) 30.896 * * [simplify]: iters left: 3 (23 enodes) 30.908 * * [simplify]: iters left: 2 (32 enodes) 30.917 * * [simplify]: Extracting #0: cost 1 inf + 0 30.917 * * [simplify]: Extracting #1: cost 6 inf + 0 30.917 * * [simplify]: Extracting #2: cost 9 inf + 2 30.917 * * [simplify]: Extracting #3: cost 6 inf + 87 30.918 * * [simplify]: Extracting #4: cost 0 inf + 420 30.918 * [simplify]: Simplified to (/ (- 1 k) 2) 30.918 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 30.918 * * * * [progress]: [ 31 / 197 ] simplifiying candidate # 30.918 * [simplify]: Simplifying (/ (- 1 k) 2) 30.918 * * [simplify]: iters left: 4 (5 enodes) 30.922 * * [simplify]: iters left: 3 (23 enodes) 30.930 * * [simplify]: iters left: 2 (32 enodes) 30.939 * * [simplify]: Extracting #0: cost 1 inf + 0 30.939 * * [simplify]: Extracting #1: cost 6 inf + 0 30.940 * * [simplify]: Extracting #2: cost 9 inf + 2 30.940 * * [simplify]: Extracting #3: cost 6 inf + 87 30.940 * * [simplify]: Extracting #4: cost 0 inf + 420 30.940 * [simplify]: Simplified to (/ (- 1 k) 2) 30.940 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 30.940 * * * * [progress]: [ 32 / 197 ] simplifiying candidate # 30.941 * [simplify]: Simplifying (/ 1 2) 30.941 * * [simplify]: iters left: 2 (3 enodes) 30.944 * * [simplify]: iters left: 1 (12 enodes) 30.948 * * [simplify]: Extracting #0: cost 1 inf + 0 30.948 * * [simplify]: Extracting #1: cost 0 inf + 1 30.948 * [simplify]: Simplified to 1/2 30.948 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (/ 1 (sqrt k)))) 30.948 * * * * [progress]: [ 33 / 197 ] simplifiying candidate # 30.948 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 30.948 * * [simplify]: iters left: 5 (7 enodes) 30.953 * * [simplify]: iters left: 4 (32 enodes) 30.965 * * [simplify]: iters left: 3 (57 enodes) 30.983 * * [simplify]: iters left: 2 (88 enodes) 31.000 * * [simplify]: iters left: 1 (156 enodes) 31.052 * * [simplify]: Extracting #0: cost 1 inf + 0 31.052 * * [simplify]: Extracting #1: cost 13 inf + 0 31.052 * * [simplify]: Extracting #2: cost 49 inf + 2 31.053 * * [simplify]: Extracting #3: cost 80 inf + 6 31.053 * * [simplify]: Extracting #4: cost 58 inf + 1840 31.055 * * [simplify]: Extracting #5: cost 22 inf + 9206 31.057 * * [simplify]: Extracting #6: cost 1 inf + 20886 31.060 * * [simplify]: Extracting #7: cost 0 inf + 21301 31.064 * * [simplify]: Extracting #8: cost 0 inf + 21130 31.067 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 31.067 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 31.067 * * * * [progress]: [ 34 / 197 ] simplifiying candidate # 31.067 * * * * [progress]: [ 35 / 197 ] simplifiying candidate # 31.067 * * * * [progress]: [ 36 / 197 ] simplifiying candidate # 31.067 * * * * [progress]: [ 37 / 197 ] simplifiying candidate # 31.067 * * * * [progress]: [ 38 / 197 ] simplifiying candidate # 31.067 * * * * [progress]: [ 39 / 197 ] simplifiying candidate # 31.067 * * * * [progress]: [ 40 / 197 ] simplifiying candidate # 31.067 * * * * [progress]: [ 41 / 197 ] simplifiying candidate # 31.067 * * * * [progress]: [ 42 / 197 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (sqrt k))))> 31.067 * * * * [progress]: [ 43 / 197 ] simplifiying candidate # 31.067 * * * * [progress]: [ 44 / 197 ] simplifiying candidate # 31.067 * * * * [progress]: [ 45 / 197 ] simplifiying candidate # 31.068 * [simplify]: Simplifying (* n (* 2 PI)) 31.068 * * [simplify]: iters left: 4 (5 enodes) 31.069 * * [simplify]: iters left: 3 (19 enodes) 31.072 * * [simplify]: iters left: 2 (27 enodes) 31.078 * * [simplify]: iters left: 1 (32 enodes) 31.086 * * [simplify]: Extracting #0: cost 1 inf + 0 31.086 * * [simplify]: Extracting #1: cost 8 inf + 0 31.086 * * [simplify]: Extracting #2: cost 7 inf + 45 31.087 * * [simplify]: Extracting #3: cost 0 inf + 421 31.087 * [simplify]: Simplified to (* (* PI 2) n) 31.087 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 31.087 * * * * [progress]: [ 46 / 197 ] simplifiying candidate # 31.087 * [simplify]: Simplifying (* n (* 2 PI)) 31.087 * * [simplify]: iters left: 4 (5 enodes) 31.090 * * [simplify]: iters left: 3 (19 enodes) 31.096 * * [simplify]: iters left: 2 (27 enodes) 31.105 * * [simplify]: iters left: 1 (32 enodes) 31.112 * * [simplify]: Extracting #0: cost 1 inf + 0 31.112 * * [simplify]: Extracting #1: cost 8 inf + 0 31.112 * * [simplify]: Extracting #2: cost 7 inf + 45 31.112 * * [simplify]: Extracting #3: cost 0 inf + 421 31.112 * [simplify]: Simplified to (* (* PI 2) n) 31.112 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 31.112 * * * * [progress]: [ 47 / 197 ] simplifiying candidate # 31.112 * * * * [progress]: [ 48 / 197 ] simplifiying candidate # 31.113 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 31.113 * * [simplify]: iters left: 5 (8 enodes) 31.115 * * [simplify]: iters left: 4 (28 enodes) 31.120 * * [simplify]: iters left: 3 (36 enodes) 31.125 * * [simplify]: iters left: 2 (42 enodes) 31.131 * * [simplify]: Extracting #0: cost 1 inf + 0 31.131 * * [simplify]: Extracting #1: cost 8 inf + 0 31.131 * * [simplify]: Extracting #2: cost 17 inf + 0 31.131 * * [simplify]: Extracting #3: cost 12 inf + 145 31.132 * * [simplify]: Extracting #4: cost 5 inf + 1197 31.132 * * [simplify]: Extracting #5: cost 1 inf + 1925 31.132 * * [simplify]: Extracting #6: cost 0 inf + 2107 31.132 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 31.132 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 31.133 * * * * [progress]: [ 49 / 197 ] simplifiying candidate # 31.133 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 31.133 * * [simplify]: iters left: 5 (7 enodes) 31.137 * * [simplify]: iters left: 4 (26 enodes) 31.142 * * [simplify]: iters left: 3 (35 enodes) 31.151 * * [simplify]: iters left: 2 (44 enodes) 31.157 * * [simplify]: Extracting #0: cost 1 inf + 0 31.157 * * [simplify]: Extracting #1: cost 8 inf + 0 31.157 * * [simplify]: Extracting #2: cost 18 inf + 0 31.157 * * [simplify]: Extracting #3: cost 15 inf + 74 31.157 * * [simplify]: Extracting #4: cost 8 inf + 554 31.158 * * [simplify]: Extracting #5: cost 0 inf + 1911 31.158 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 31.158 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 31.158 * * * * [progress]: [ 50 / 197 ] simplifiying candidate # 31.158 * * * * [progress]: [ 51 / 197 ] simplifiying candidate # 31.158 * * * * [progress]: [ 52 / 197 ] simplifiying candidate # 31.158 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 31.158 * * [simplify]: iters left: 6 (11 enodes) 31.163 * * [simplify]: iters left: 5 (48 enodes) 31.172 * * [simplify]: iters left: 4 (121 enodes) 31.223 * * [simplify]: iters left: 3 (348 enodes) 31.390 * * [simplify]: Extracting #0: cost 1 inf + 0 31.391 * * [simplify]: Extracting #1: cost 67 inf + 0 31.392 * * [simplify]: Extracting #2: cost 165 inf + 786 31.397 * * [simplify]: Extracting #3: cost 85 inf + 10177 31.409 * * [simplify]: Extracting #4: cost 9 inf + 26399 31.422 * * [simplify]: Extracting #5: cost 0 inf + 28546 31.431 * * [simplify]: Extracting #6: cost 0 inf + 28506 31.437 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 31.437 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 31.437 * * * * [progress]: [ 53 / 197 ] simplifiying candidate # 31.438 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 31.438 * * [simplify]: iters left: 6 (9 enodes) 31.444 * * [simplify]: iters left: 5 (45 enodes) 31.458 * * [simplify]: iters left: 4 (117 enodes) 31.521 * * [simplify]: iters left: 3 (374 enodes) 32.154 * * [simplify]: Extracting #0: cost 1 inf + 0 32.155 * * [simplify]: Extracting #1: cost 77 inf + 0 32.156 * * [simplify]: Extracting #2: cost 184 inf + 984 32.159 * * [simplify]: Extracting #3: cost 106 inf + 11690 32.173 * * [simplify]: Extracting #4: cost 6 inf + 30376 32.191 * * [simplify]: Extracting #5: cost 0 inf + 31644 32.213 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 32.213 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 32.213 * * * * [progress]: [ 54 / 197 ] simplifiying candidate # 32.213 * * * * [progress]: [ 55 / 197 ] simplifiying candidate # 32.214 * * * * [progress]: [ 56 / 197 ] simplifiying candidate # 32.214 * * * * [progress]: [ 57 / 197 ] simplifiying candidate # 32.214 * * * * [progress]: [ 58 / 197 ] simplifiying candidate # 32.214 * * * * [progress]: [ 59 / 197 ] simplifiying candidate # 32.214 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 32.214 * * [simplify]: iters left: 3 (3 enodes) 32.215 * * [simplify]: iters left: 2 (9 enodes) 32.218 * * [simplify]: Extracting #0: cost 1 inf + 0 32.218 * * [simplify]: Extracting #1: cost 3 inf + 0 32.218 * * [simplify]: Extracting #2: cost 5 inf + 0 32.218 * * [simplify]: Extracting #3: cost 4 inf + 1 32.218 * * [simplify]: Extracting #4: cost 0 inf + 405 32.218 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 32.218 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 32.219 * * * * [progress]: [ 60 / 197 ] simplifiying candidate # 32.219 * [simplify]: Simplifying (sqrt n) 32.219 * * [simplify]: iters left: 1 (2 enodes) 32.220 * * [simplify]: Extracting #0: cost 1 inf + 0 32.220 * * [simplify]: Extracting #1: cost 3 inf + 0 32.220 * * [simplify]: Extracting #2: cost 2 inf + 1 32.220 * * [simplify]: Extracting #3: cost 0 inf + 83 32.220 * [simplify]: Simplified to (sqrt n) 32.220 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 32.220 * * * * [progress]: [ 61 / 197 ] simplifiying candidate # 32.220 * * * * [progress]: [ 62 / 197 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))> 32.220 * * * * [progress]: [ 63 / 197 ] simplifiying candidate # 32.220 * * * * [progress]: [ 64 / 197 ] simplifiying candidate # 32.220 * * * * [progress]: [ 65 / 197 ] simplifiying candidate # 32.220 * * * * [progress]: [ 66 / 197 ] simplifiying candidate # 32.220 * * * * [progress]: [ 67 / 197 ] simplifiying candidate # 32.221 * [simplify]: Simplifying (- 1/2) 32.221 * * [simplify]: iters left: 2 (2 enodes) 32.223 * * [simplify]: iters left: 1 (7 enodes) 32.225 * * [simplify]: Extracting #0: cost 1 inf + 0 32.226 * * [simplify]: Extracting #1: cost 0 inf + 1 32.226 * [simplify]: Simplified to -1/2 32.226 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 32.226 * * * * [progress]: [ 68 / 197 ] simplifiying candidate # 32.226 * [simplify]: Simplifying (- 1) 32.226 * * [simplify]: iters left: 2 (2 enodes) 32.228 * * [simplify]: iters left: 1 (9 enodes) 32.231 * * [simplify]: Extracting #0: cost 1 inf + 0 32.231 * * [simplify]: Extracting #1: cost 0 inf + 1 32.231 * [simplify]: Simplified to -1 32.231 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (sqrt k) -1))) 32.232 * * * * [progress]: [ 69 / 197 ] simplifiying candidate # 32.232 * [simplify]: Simplifying (- (/ 1 2)) 32.232 * * [simplify]: iters left: 4 (4 enodes) 32.236 * * [simplify]: iters left: 3 (19 enodes) 32.243 * * [simplify]: iters left: 2 (23 enodes) 32.250 * * [simplify]: Extracting #0: cost 1 inf + 0 32.250 * * [simplify]: Extracting #1: cost 0 inf + 1 32.250 * [simplify]: Simplified to -1/2 32.250 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 32.250 * * * * [progress]: [ 70 / 197 ] simplifiying candidate # 32.250 * * * * [progress]: [ 71 / 197 ] simplifiying candidate # 32.250 * * * * [progress]: [ 72 / 197 ] simplifiying candidate # 32.250 * [simplify]: Simplifying (- 0 (log (sqrt k))) 32.250 * * [simplify]: iters left: 4 (5 enodes) 32.253 * * [simplify]: iters left: 3 (17 enodes) 32.259 * * [simplify]: iters left: 2 (21 enodes) 32.265 * * [simplify]: iters left: 1 (23 enodes) 32.271 * * [simplify]: Extracting #0: cost 1 inf + 0 32.271 * * [simplify]: Extracting #1: cost 4 inf + 0 32.272 * * [simplify]: Extracting #2: cost 5 inf + 1 32.272 * * [simplify]: Extracting #3: cost 7 inf + 1 32.272 * * [simplify]: Extracting #4: cost 0 inf + 608 32.272 * [simplify]: Simplified to (- (log (sqrt k))) 32.272 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k)))))) 32.272 * * * * [progress]: [ 73 / 197 ] simplifiying candidate # 32.272 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 32.272 * * [simplify]: iters left: 4 (6 enodes) 32.276 * * [simplify]: iters left: 3 (22 enodes) 32.282 * * [simplify]: Extracting #0: cost 1 inf + 0 32.282 * * [simplify]: Extracting #1: cost 4 inf + 0 32.282 * * [simplify]: Extracting #2: cost 5 inf + 1 32.282 * * [simplify]: Extracting #3: cost 7 inf + 1 32.282 * * [simplify]: Extracting #4: cost 6 inf + 2 32.283 * * [simplify]: Extracting #5: cost 1 inf + 457 32.283 * * [simplify]: Extracting #6: cost 0 inf + 608 32.283 * [simplify]: Simplified to (- (log (sqrt k))) 32.283 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k)))))) 32.283 * * * * [progress]: [ 74 / 197 ] simplifiying candidate # 32.283 * * * * [progress]: [ 75 / 197 ] simplifiying candidate # 32.283 * * * * [progress]: [ 76 / 197 ] simplifiying candidate # 32.284 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 32.284 * * [simplify]: iters left: 6 (8 enodes) 32.288 * * [simplify]: iters left: 5 (26 enodes) 32.295 * * [simplify]: iters left: 4 (43 enodes) 32.308 * * [simplify]: iters left: 3 (59 enodes) 32.324 * * [simplify]: iters left: 2 (67 enodes) 32.341 * * [simplify]: iters left: 1 (69 enodes) 32.360 * * [simplify]: Extracting #0: cost 1 inf + 0 32.360 * * [simplify]: Extracting #1: cost 14 inf + 0 32.360 * * [simplify]: Extracting #2: cost 18 inf + 2 32.361 * * [simplify]: Extracting #3: cost 7 inf + 701 32.361 * * [simplify]: Extracting #4: cost 0 inf + 1234 32.362 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 32.362 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (/ (/ 1 k) (sqrt k))))) 32.362 * * * * [progress]: [ 77 / 197 ] simplifiying candidate # 32.362 * * * * [progress]: [ 78 / 197 ] simplifiying candidate # 32.362 * * * * [progress]: [ 79 / 197 ] simplifiying candidate # 32.363 * * * * [progress]: [ 80 / 197 ] simplifiying candidate # 32.363 * * * * [progress]: [ 81 / 197 ] simplifiying candidate # 32.363 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 32.363 * * [simplify]: iters left: 6 (8 enodes) 32.368 * * [simplify]: iters left: 5 (32 enodes) 32.378 * * [simplify]: iters left: 4 (48 enodes) 32.393 * * [simplify]: iters left: 3 (76 enodes) 32.415 * * [simplify]: iters left: 2 (81 enodes) 32.423 * * [simplify]: Extracting #0: cost 1 inf + 0 32.423 * * [simplify]: Extracting #1: cost 6 inf + 0 32.423 * * [simplify]: Extracting #2: cost 9 inf + 1 32.423 * * [simplify]: Extracting #3: cost 11 inf + 1 32.423 * * [simplify]: Extracting #4: cost 2 inf + 1052 32.423 * * [simplify]: Extracting #5: cost 0 inf + 1376 32.424 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 32.424 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))))) 32.424 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 32.424 * * [simplify]: iters left: 4 (6 enodes) 32.426 * * [simplify]: iters left: 3 (20 enodes) 32.429 * * [simplify]: iters left: 2 (22 enodes) 32.432 * * [simplify]: Extracting #0: cost 1 inf + 0 32.432 * * [simplify]: Extracting #1: cost 4 inf + 0 32.432 * * [simplify]: Extracting #2: cost 5 inf + 1 32.432 * * [simplify]: Extracting #3: cost 7 inf + 1 32.432 * * [simplify]: Extracting #4: cost 1 inf + 488 32.432 * * [simplify]: Extracting #5: cost 0 inf + 650 32.432 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 32.432 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 32.432 * * * * [progress]: [ 82 / 197 ] simplifiying candidate # 32.433 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 32.433 * * [simplify]: iters left: 6 (8 enodes) 32.436 * * [simplify]: iters left: 5 (29 enodes) 32.440 * * [simplify]: iters left: 4 (31 enodes) 32.444 * * [simplify]: Extracting #0: cost 1 inf + 0 32.444 * * [simplify]: Extracting #1: cost 4 inf + 0 32.444 * * [simplify]: Extracting #2: cost 6 inf + 1 32.444 * * [simplify]: Extracting #3: cost 9 inf + 1 32.444 * * [simplify]: Extracting #4: cost 8 inf + 2 32.444 * * [simplify]: Extracting #5: cost 2 inf + 729 32.445 * * [simplify]: Extracting #6: cost 0 inf + 972 32.445 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 32.445 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k)))))) 32.445 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 32.445 * * [simplify]: iters left: 4 (6 enodes) 32.447 * * [simplify]: iters left: 3 (20 enodes) 32.450 * * [simplify]: iters left: 2 (22 enodes) 32.453 * * [simplify]: Extracting #0: cost 1 inf + 0 32.453 * * [simplify]: Extracting #1: cost 4 inf + 0 32.453 * * [simplify]: Extracting #2: cost 5 inf + 1 32.453 * * [simplify]: Extracting #3: cost 7 inf + 1 32.453 * * [simplify]: Extracting #4: cost 1 inf + 568 32.453 * * [simplify]: Extracting #5: cost 0 inf + 730 32.453 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 32.453 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 32.453 * * * * [progress]: [ 83 / 197 ] simplifiying candidate # 32.454 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 32.454 * * [simplify]: iters left: 5 (7 enodes) 32.458 * * [simplify]: iters left: 4 (25 enodes) 32.466 * * [simplify]: iters left: 3 (27 enodes) 32.475 * * [simplify]: Extracting #0: cost 1 inf + 0 32.475 * * [simplify]: Extracting #1: cost 4 inf + 0 32.475 * * [simplify]: Extracting #2: cost 5 inf + 1 32.475 * * [simplify]: Extracting #3: cost 7 inf + 1 32.475 * * [simplify]: Extracting #4: cost 6 inf + 2 32.475 * * [simplify]: Extracting #5: cost 2 inf + 368 32.475 * * [simplify]: Extracting #6: cost 0 inf + 490 32.475 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.475 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))))) 32.476 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 32.476 * * [simplify]: iters left: 4 (6 enodes) 32.480 * * [simplify]: iters left: 3 (20 enodes) 32.484 * * [simplify]: iters left: 2 (22 enodes) 32.488 * * [simplify]: Extracting #0: cost 1 inf + 0 32.488 * * [simplify]: Extracting #1: cost 4 inf + 0 32.488 * * [simplify]: Extracting #2: cost 5 inf + 1 32.488 * * [simplify]: Extracting #3: cost 7 inf + 1 32.488 * * [simplify]: Extracting #4: cost 1 inf + 368 32.488 * * [simplify]: Extracting #5: cost 0 inf + 490 32.488 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.488 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 32.488 * * * * [progress]: [ 84 / 197 ] simplifiying candidate # 32.488 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 32.488 * * [simplify]: iters left: 5 (5 enodes) 32.494 * * [simplify]: iters left: 4 (19 enodes) 32.496 * * [simplify]: iters left: 3 (21 enodes) 32.499 * * [simplify]: Extracting #0: cost 1 inf + 0 32.499 * * [simplify]: Extracting #1: cost 0 inf + 1 32.499 * [simplify]: Simplified to 1 32.499 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (cbrt 1) (sqrt k))))) 32.499 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 32.499 * * [simplify]: iters left: 3 (5 enodes) 32.502 * * [simplify]: iters left: 2 (17 enodes) 32.505 * * [simplify]: iters left: 1 (19 enodes) 32.507 * * [simplify]: Extracting #0: cost 1 inf + 0 32.507 * * [simplify]: Extracting #1: cost 4 inf + 0 32.507 * * [simplify]: Extracting #2: cost 5 inf + 1 32.507 * * [simplify]: Extracting #3: cost 0 inf + 248 32.507 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.507 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 32.508 * * * * [progress]: [ 85 / 197 ] simplifiying candidate # 32.508 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 32.508 * * [simplify]: iters left: 5 (7 enodes) 32.510 * * [simplify]: iters left: 4 (25 enodes) 32.519 * * [simplify]: iters left: 3 (27 enodes) 32.525 * * [simplify]: Extracting #0: cost 1 inf + 0 32.525 * * [simplify]: Extracting #1: cost 4 inf + 0 32.526 * * [simplify]: Extracting #2: cost 5 inf + 1 32.526 * * [simplify]: Extracting #3: cost 7 inf + 1 32.526 * * [simplify]: Extracting #4: cost 6 inf + 2 32.526 * * [simplify]: Extracting #5: cost 2 inf + 368 32.526 * * [simplify]: Extracting #6: cost 0 inf + 490 32.526 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.526 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))))) 32.526 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 32.527 * * [simplify]: iters left: 4 (6 enodes) 32.529 * * [simplify]: iters left: 3 (20 enodes) 32.532 * * [simplify]: iters left: 2 (22 enodes) 32.535 * * [simplify]: Extracting #0: cost 1 inf + 0 32.535 * * [simplify]: Extracting #1: cost 4 inf + 0 32.535 * * [simplify]: Extracting #2: cost 5 inf + 1 32.535 * * [simplify]: Extracting #3: cost 7 inf + 1 32.535 * * [simplify]: Extracting #4: cost 1 inf + 368 32.535 * * [simplify]: Extracting #5: cost 0 inf + 490 32.535 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.535 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 32.535 * * * * [progress]: [ 86 / 197 ] simplifiying candidate # 32.535 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 32.536 * * [simplify]: iters left: 5 (4 enodes) 32.540 * * [simplify]: iters left: 4 (14 enodes) 32.541 * * [simplify]: iters left: 3 (16 enodes) 32.543 * * [simplify]: Extracting #0: cost 1 inf + 0 32.543 * * [simplify]: Extracting #1: cost 0 inf + 1 32.543 * [simplify]: Simplified to 1 32.543 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (cbrt 1) (sqrt k))))) 32.544 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 32.544 * * [simplify]: iters left: 3 (5 enodes) 32.546 * * [simplify]: iters left: 2 (17 enodes) 32.548 * * [simplify]: iters left: 1 (19 enodes) 32.551 * * [simplify]: Extracting #0: cost 1 inf + 0 32.551 * * [simplify]: Extracting #1: cost 4 inf + 0 32.551 * * [simplify]: Extracting #2: cost 5 inf + 1 32.551 * * [simplify]: Extracting #3: cost 0 inf + 248 32.551 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.551 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 32.551 * * * * [progress]: [ 87 / 197 ] simplifiying candidate # 32.551 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 32.552 * * [simplify]: iters left: 6 (7 enodes) 32.554 * * [simplify]: iters left: 5 (25 enodes) 32.561 * * [simplify]: iters left: 4 (32 enodes) 32.570 * * [simplify]: iters left: 3 (34 enodes) 32.582 * * [simplify]: Extracting #0: cost 1 inf + 0 32.582 * * [simplify]: Extracting #1: cost 7 inf + 0 32.582 * * [simplify]: Extracting #2: cost 11 inf + 1 32.582 * * [simplify]: Extracting #3: cost 13 inf + 1 32.582 * * [simplify]: Extracting #4: cost 10 inf + 84 32.582 * * [simplify]: Extracting #5: cost 4 inf + 1014 32.583 * * [simplify]: Extracting #6: cost 1 inf + 1498 32.583 * * [simplify]: Extracting #7: cost 0 inf + 1700 32.584 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 32.584 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k)))))) 32.584 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 32.584 * * [simplify]: iters left: 4 (6 enodes) 32.588 * * [simplify]: iters left: 3 (20 enodes) 32.593 * * [simplify]: iters left: 2 (22 enodes) 32.599 * * [simplify]: Extracting #0: cost 1 inf + 0 32.599 * * [simplify]: Extracting #1: cost 4 inf + 0 32.599 * * [simplify]: Extracting #2: cost 5 inf + 1 32.599 * * [simplify]: Extracting #3: cost 7 inf + 1 32.599 * * [simplify]: Extracting #4: cost 1 inf + 488 32.600 * * [simplify]: Extracting #5: cost 0 inf + 650 32.600 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 32.600 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 32.600 * * * * [progress]: [ 88 / 197 ] simplifiying candidate # 32.600 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 32.601 * * [simplify]: iters left: 6 (7 enodes) 32.605 * * [simplify]: iters left: 5 (24 enodes) 32.612 * * [simplify]: iters left: 4 (26 enodes) 32.615 * * [simplify]: Extracting #0: cost 1 inf + 0 32.615 * * [simplify]: Extracting #1: cost 4 inf + 0 32.615 * * [simplify]: Extracting #2: cost 6 inf + 1 32.615 * * [simplify]: Extracting #3: cost 9 inf + 1 32.616 * * [simplify]: Extracting #4: cost 8 inf + 2 32.616 * * [simplify]: Extracting #5: cost 2 inf + 730 32.616 * * [simplify]: Extracting #6: cost 0 inf + 972 32.616 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 32.616 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k)))))) 32.616 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 32.616 * * [simplify]: iters left: 4 (6 enodes) 32.618 * * [simplify]: iters left: 3 (20 enodes) 32.621 * * [simplify]: iters left: 2 (22 enodes) 32.624 * * [simplify]: Extracting #0: cost 1 inf + 0 32.624 * * [simplify]: Extracting #1: cost 4 inf + 0 32.624 * * [simplify]: Extracting #2: cost 5 inf + 1 32.624 * * [simplify]: Extracting #3: cost 7 inf + 1 32.624 * * [simplify]: Extracting #4: cost 1 inf + 568 32.625 * * [simplify]: Extracting #5: cost 0 inf + 730 32.625 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 32.625 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 32.625 * * * * [progress]: [ 89 / 197 ] simplifiying candidate # 32.625 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 32.625 * * [simplify]: iters left: 4 (6 enodes) 32.627 * * [simplify]: iters left: 3 (20 enodes) 32.630 * * [simplify]: iters left: 2 (22 enodes) 32.634 * * [simplify]: Extracting #0: cost 1 inf + 0 32.634 * * [simplify]: Extracting #1: cost 4 inf + 0 32.634 * * [simplify]: Extracting #2: cost 5 inf + 1 32.634 * * [simplify]: Extracting #3: cost 7 inf + 1 32.634 * * [simplify]: Extracting #4: cost 1 inf + 368 32.634 * * [simplify]: Extracting #5: cost 0 inf + 490 32.634 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.634 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))))) 32.634 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 32.634 * * [simplify]: iters left: 4 (6 enodes) 32.636 * * [simplify]: iters left: 3 (20 enodes) 32.639 * * [simplify]: iters left: 2 (22 enodes) 32.642 * * [simplify]: Extracting #0: cost 1 inf + 0 32.642 * * [simplify]: Extracting #1: cost 4 inf + 0 32.642 * * [simplify]: Extracting #2: cost 5 inf + 1 32.642 * * [simplify]: Extracting #3: cost 7 inf + 1 32.642 * * [simplify]: Extracting #4: cost 1 inf + 368 32.642 * * [simplify]: Extracting #5: cost 0 inf + 490 32.642 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.643 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 32.643 * * * * [progress]: [ 90 / 197 ] simplifiying candidate # 32.643 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 32.643 * * [simplify]: iters left: 3 (3 enodes) 32.645 * * [simplify]: iters left: 2 (9 enodes) 32.646 * * [simplify]: iters left: 1 (11 enodes) 32.648 * * [simplify]: Extracting #0: cost 1 inf + 0 32.648 * * [simplify]: Extracting #1: cost 0 inf + 1 32.648 * [simplify]: Simplified to 1 32.648 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (sqrt 1) (sqrt k))))) 32.648 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 32.648 * * [simplify]: iters left: 3 (5 enodes) 32.650 * * [simplify]: iters left: 2 (17 enodes) 32.653 * * [simplify]: iters left: 1 (19 enodes) 32.656 * * [simplify]: Extracting #0: cost 1 inf + 0 32.656 * * [simplify]: Extracting #1: cost 4 inf + 0 32.656 * * [simplify]: Extracting #2: cost 5 inf + 1 32.656 * * [simplify]: Extracting #3: cost 0 inf + 248 32.656 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.656 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 32.656 * * * * [progress]: [ 91 / 197 ] simplifiying candidate # 32.656 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 32.656 * * [simplify]: iters left: 4 (6 enodes) 32.658 * * [simplify]: iters left: 3 (20 enodes) 32.661 * * [simplify]: iters left: 2 (22 enodes) 32.666 * * [simplify]: Extracting #0: cost 1 inf + 0 32.667 * * [simplify]: Extracting #1: cost 4 inf + 0 32.667 * * [simplify]: Extracting #2: cost 5 inf + 1 32.667 * * [simplify]: Extracting #3: cost 7 inf + 1 32.667 * * [simplify]: Extracting #4: cost 1 inf + 368 32.667 * * [simplify]: Extracting #5: cost 0 inf + 490 32.667 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.667 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))))) 32.668 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 32.668 * * [simplify]: iters left: 4 (6 enodes) 32.671 * * [simplify]: iters left: 3 (20 enodes) 32.677 * * [simplify]: iters left: 2 (22 enodes) 32.683 * * [simplify]: Extracting #0: cost 1 inf + 0 32.683 * * [simplify]: Extracting #1: cost 4 inf + 0 32.683 * * [simplify]: Extracting #2: cost 5 inf + 1 32.684 * * [simplify]: Extracting #3: cost 7 inf + 1 32.684 * * [simplify]: Extracting #4: cost 1 inf + 368 32.684 * * [simplify]: Extracting #5: cost 0 inf + 490 32.684 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.684 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 32.684 * * * * [progress]: [ 92 / 197 ] simplifiying candidate # 32.685 * [simplify]: Simplifying (/ (sqrt 1) 1) 32.685 * * [simplify]: iters left: 3 (3 enodes) 32.688 * * [simplify]: iters left: 2 (9 enodes) 32.693 * * [simplify]: iters left: 1 (11 enodes) 32.695 * * [simplify]: Extracting #0: cost 1 inf + 0 32.695 * * [simplify]: Extracting #1: cost 0 inf + 1 32.695 * [simplify]: Simplified to 1 32.695 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (sqrt 1) (sqrt k))))) 32.696 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 32.696 * * [simplify]: iters left: 3 (5 enodes) 32.700 * * [simplify]: iters left: 2 (17 enodes) 32.705 * * [simplify]: iters left: 1 (19 enodes) 32.710 * * [simplify]: Extracting #0: cost 1 inf + 0 32.710 * * [simplify]: Extracting #1: cost 4 inf + 0 32.711 * * [simplify]: Extracting #2: cost 5 inf + 1 32.711 * * [simplify]: Extracting #3: cost 0 inf + 248 32.711 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.711 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 32.711 * * * * [progress]: [ 93 / 197 ] simplifiying candidate # 32.711 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 32.711 * * [simplify]: iters left: 6 (6 enodes) 32.715 * * [simplify]: iters left: 5 (22 enodes) 32.720 * * [simplify]: iters left: 4 (26 enodes) 32.724 * * [simplify]: Extracting #0: cost 1 inf + 0 32.724 * * [simplify]: Extracting #1: cost 6 inf + 0 32.724 * * [simplify]: Extracting #2: cost 9 inf + 1 32.724 * * [simplify]: Extracting #3: cost 11 inf + 1 32.724 * * [simplify]: Extracting #4: cost 8 inf + 84 32.725 * * [simplify]: Extracting #5: cost 2 inf + 1013 32.725 * * [simplify]: Extracting #6: cost 0 inf + 1376 32.725 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 32.725 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 32.725 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 32.725 * * [simplify]: iters left: 4 (5 enodes) 32.727 * * [simplify]: iters left: 3 (17 enodes) 32.729 * * [simplify]: iters left: 2 (19 enodes) 32.732 * * [simplify]: Extracting #0: cost 1 inf + 0 32.732 * * [simplify]: Extracting #1: cost 4 inf + 0 32.732 * * [simplify]: Extracting #2: cost 5 inf + 1 32.732 * * [simplify]: Extracting #3: cost 7 inf + 1 32.732 * * [simplify]: Extracting #4: cost 0 inf + 650 32.732 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 32.732 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 32.732 * * * * [progress]: [ 94 / 197 ] simplifiying candidate # 32.732 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 32.733 * * [simplify]: iters left: 6 (6 enodes) 32.734 * * [simplify]: iters left: 5 (21 enodes) 32.737 * * [simplify]: iters left: 4 (23 enodes) 32.740 * * [simplify]: Extracting #0: cost 1 inf + 0 32.740 * * [simplify]: Extracting #1: cost 4 inf + 0 32.740 * * [simplify]: Extracting #2: cost 6 inf + 1 32.740 * * [simplify]: Extracting #3: cost 9 inf + 1 32.740 * * [simplify]: Extracting #4: cost 8 inf + 2 32.741 * * [simplify]: Extracting #5: cost 1 inf + 810 32.741 * * [simplify]: Extracting #6: cost 0 inf + 972 32.741 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 32.741 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 32.741 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 32.741 * * [simplify]: iters left: 4 (5 enodes) 32.742 * * [simplify]: iters left: 3 (17 enodes) 32.745 * * [simplify]: iters left: 2 (19 enodes) 32.748 * * [simplify]: Extracting #0: cost 1 inf + 0 32.748 * * [simplify]: Extracting #1: cost 4 inf + 0 32.748 * * [simplify]: Extracting #2: cost 5 inf + 1 32.748 * * [simplify]: Extracting #3: cost 7 inf + 1 32.748 * * [simplify]: Extracting #4: cost 0 inf + 730 32.748 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 32.748 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 32.748 * * * * [progress]: [ 95 / 197 ] simplifiying candidate # 32.748 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 32.748 * * [simplify]: iters left: 4 (5 enodes) 32.750 * * [simplify]: iters left: 3 (17 enodes) 32.752 * * [simplify]: iters left: 2 (19 enodes) 32.755 * * [simplify]: Extracting #0: cost 1 inf + 0 32.755 * * [simplify]: Extracting #1: cost 4 inf + 0 32.755 * * [simplify]: Extracting #2: cost 5 inf + 1 32.755 * * [simplify]: Extracting #3: cost 7 inf + 1 32.755 * * [simplify]: Extracting #4: cost 0 inf + 490 32.756 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.756 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 32.756 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 32.756 * * [simplify]: iters left: 4 (5 enodes) 32.758 * * [simplify]: iters left: 3 (17 enodes) 32.764 * * [simplify]: iters left: 2 (19 enodes) 32.769 * * [simplify]: Extracting #0: cost 1 inf + 0 32.769 * * [simplify]: Extracting #1: cost 4 inf + 0 32.769 * * [simplify]: Extracting #2: cost 5 inf + 1 32.769 * * [simplify]: Extracting #3: cost 7 inf + 1 32.769 * * [simplify]: Extracting #4: cost 0 inf + 490 32.770 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.770 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 32.770 * * * * [progress]: [ 96 / 197 ] simplifiying candidate # 32.770 * [simplify]: Simplifying (/ 1 (sqrt 1)) 32.770 * * [simplify]: iters left: 3 (3 enodes) 32.776 * * [simplify]: iters left: 2 (11 enodes) 32.779 * * [simplify]: iters left: 1 (13 enodes) 32.782 * * [simplify]: Extracting #0: cost 1 inf + 0 32.782 * * [simplify]: Extracting #1: cost 0 inf + 1 32.782 * [simplify]: Simplified to 1 32.782 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 32.782 * [simplify]: Simplifying (/ 1 (sqrt k)) 32.782 * * [simplify]: iters left: 3 (4 enodes) 32.785 * * [simplify]: iters left: 2 (14 enodes) 32.789 * * [simplify]: iters left: 1 (16 enodes) 32.794 * * [simplify]: Extracting #0: cost 1 inf + 0 32.794 * * [simplify]: Extracting #1: cost 4 inf + 0 32.795 * * [simplify]: Extracting #2: cost 5 inf + 1 32.795 * * [simplify]: Extracting #3: cost 3 inf + 43 32.795 * * [simplify]: Extracting #4: cost 1 inf + 166 32.795 * * [simplify]: Extracting #5: cost 0 inf + 248 32.795 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.795 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 32.795 * * * * [progress]: [ 97 / 197 ] simplifiying candidate # 32.795 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 32.796 * * [simplify]: iters left: 4 (5 enodes) 32.798 * * [simplify]: iters left: 3 (17 enodes) 32.803 * * [simplify]: iters left: 2 (19 enodes) 32.811 * * [simplify]: Extracting #0: cost 1 inf + 0 32.811 * * [simplify]: Extracting #1: cost 4 inf + 0 32.811 * * [simplify]: Extracting #2: cost 5 inf + 1 32.811 * * [simplify]: Extracting #3: cost 7 inf + 1 32.811 * * [simplify]: Extracting #4: cost 0 inf + 490 32.812 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.812 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 32.812 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 32.812 * * [simplify]: iters left: 4 (5 enodes) 32.815 * * [simplify]: iters left: 3 (17 enodes) 32.818 * * [simplify]: iters left: 2 (19 enodes) 32.820 * * [simplify]: Extracting #0: cost 1 inf + 0 32.821 * * [simplify]: Extracting #1: cost 4 inf + 0 32.821 * * [simplify]: Extracting #2: cost 5 inf + 1 32.821 * * [simplify]: Extracting #3: cost 7 inf + 1 32.821 * * [simplify]: Extracting #4: cost 0 inf + 490 32.821 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.821 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 32.821 * * * * [progress]: [ 98 / 197 ] simplifiying candidate # 32.821 * [simplify]: Simplifying (/ 1 1) 32.821 * * [simplify]: iters left: 2 (2 enodes) 32.822 * * [simplify]: iters left: 1 (6 enodes) 32.823 * * [simplify]: Extracting #0: cost 1 inf + 0 32.823 * * [simplify]: Extracting #1: cost 0 inf + 1 32.823 * [simplify]: Simplified to 1 32.823 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 32.823 * [simplify]: Simplifying (/ 1 (sqrt k)) 32.823 * * [simplify]: iters left: 3 (4 enodes) 32.824 * * [simplify]: iters left: 2 (14 enodes) 32.826 * * [simplify]: iters left: 1 (16 enodes) 32.829 * * [simplify]: Extracting #0: cost 1 inf + 0 32.829 * * [simplify]: Extracting #1: cost 4 inf + 0 32.829 * * [simplify]: Extracting #2: cost 5 inf + 1 32.829 * * [simplify]: Extracting #3: cost 3 inf + 43 32.829 * * [simplify]: Extracting #4: cost 1 inf + 166 32.829 * * [simplify]: Extracting #5: cost 0 inf + 248 32.829 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.829 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 32.829 * * * * [progress]: [ 99 / 197 ] simplifiying candidate # 32.829 * * * * [progress]: [ 100 / 197 ] simplifiying candidate # 32.829 * * * * [progress]: [ 101 / 197 ] simplifiying candidate # 32.829 * * * * [progress]: [ 102 / 197 ] simplifiying candidate # 32.830 * [simplify]: Simplifying (cbrt (sqrt k)) 32.830 * * [simplify]: iters left: 2 (3 enodes) 32.830 * * [simplify]: iters left: 1 (9 enodes) 32.832 * * [simplify]: Extracting #0: cost 1 inf + 0 32.832 * * [simplify]: Extracting #1: cost 3 inf + 0 32.832 * * [simplify]: Extracting #2: cost 5 inf + 0 32.832 * * [simplify]: Extracting #3: cost 4 inf + 1 32.832 * * [simplify]: Extracting #4: cost 0 inf + 325 32.832 * [simplify]: Simplified to (cbrt (sqrt k)) 32.832 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 32.832 * * * * [progress]: [ 103 / 197 ] simplifiying candidate # 32.832 * [simplify]: Simplifying (sqrt (cbrt k)) 32.832 * * [simplify]: iters left: 2 (3 enodes) 32.833 * * [simplify]: iters left: 1 (9 enodes) 32.834 * * [simplify]: Extracting #0: cost 1 inf + 0 32.834 * * [simplify]: Extracting #1: cost 3 inf + 0 32.834 * * [simplify]: Extracting #2: cost 5 inf + 0 32.834 * * [simplify]: Extracting #3: cost 4 inf + 1 32.834 * * [simplify]: Extracting #4: cost 0 inf + 405 32.834 * [simplify]: Simplified to (sqrt (cbrt k)) 32.834 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))) 32.834 * * * * [progress]: [ 104 / 197 ] simplifiying candidate # 32.834 * [simplify]: Simplifying (sqrt (sqrt k)) 32.834 * * [simplify]: iters left: 2 (3 enodes) 32.835 * * [simplify]: iters left: 1 (9 enodes) 32.836 * * [simplify]: Extracting #0: cost 1 inf + 0 32.836 * * [simplify]: Extracting #1: cost 3 inf + 0 32.836 * * [simplify]: Extracting #2: cost 5 inf + 0 32.836 * * [simplify]: Extracting #3: cost 4 inf + 1 32.836 * * [simplify]: Extracting #4: cost 0 inf + 245 32.836 * [simplify]: Simplified to (sqrt (sqrt k)) 32.836 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 32.836 * * * * [progress]: [ 105 / 197 ] simplifiying candidate # 32.836 * [simplify]: Simplifying (sqrt k) 32.837 * * [simplify]: iters left: 1 (2 enodes) 32.837 * * [simplify]: Extracting #0: cost 1 inf + 0 32.837 * * [simplify]: Extracting #1: cost 3 inf + 0 32.837 * * [simplify]: Extracting #2: cost 2 inf + 1 32.837 * * [simplify]: Extracting #3: cost 0 inf + 83 32.837 * [simplify]: Simplified to (sqrt k) 32.837 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt 1)) (sqrt k)))) 32.837 * * * * [progress]: [ 106 / 197 ] simplifiying candidate # 32.837 * [simplify]: Simplifying (sqrt (sqrt k)) 32.837 * * [simplify]: iters left: 2 (3 enodes) 32.838 * * [simplify]: iters left: 1 (9 enodes) 32.839 * * [simplify]: Extracting #0: cost 1 inf + 0 32.839 * * [simplify]: Extracting #1: cost 3 inf + 0 32.839 * * [simplify]: Extracting #2: cost 5 inf + 0 32.839 * * [simplify]: Extracting #3: cost 4 inf + 1 32.839 * * [simplify]: Extracting #4: cost 0 inf + 245 32.839 * [simplify]: Simplified to (sqrt (sqrt k)) 32.839 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 32.839 * * * * [progress]: [ 107 / 197 ] simplifiying candidate # 32.839 * [simplify]: Simplifying (sqrt k) 32.839 * * [simplify]: iters left: 1 (2 enodes) 32.840 * * [simplify]: Extracting #0: cost 1 inf + 0 32.840 * * [simplify]: Extracting #1: cost 3 inf + 0 32.840 * * [simplify]: Extracting #2: cost 2 inf + 1 32.840 * * [simplify]: Extracting #3: cost 0 inf + 83 32.840 * [simplify]: Simplified to (sqrt k) 32.840 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 1) (sqrt k)))) 32.840 * * * * [progress]: [ 108 / 197 ] simplifiying candidate # 32.840 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 32.840 * * [simplify]: iters left: 3 (3 enodes) 32.845 * * [simplify]: iters left: 2 (11 enodes) 32.848 * * [simplify]: iters left: 1 (13 enodes) 32.851 * * [simplify]: Extracting #0: cost 1 inf + 0 32.851 * * [simplify]: Extracting #1: cost 0 inf + 1 32.851 * [simplify]: Simplified to 1 32.851 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (cbrt 1))))) 32.851 * * * * [progress]: [ 109 / 197 ] simplifiying candidate # 32.851 * [simplify]: Simplifying (sqrt 1) 32.851 * * [simplify]: iters left: 1 (2 enodes) 32.854 * * [simplify]: Extracting #0: cost 1 inf + 0 32.854 * * [simplify]: Extracting #1: cost 0 inf + 1 32.854 * [simplify]: Simplified to 1 32.854 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (sqrt 1))))) 32.854 * * * * [progress]: [ 110 / 197 ] simplifiying candidate # 32.855 * * * * [progress]: [ 111 / 197 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k))))))> 32.855 * * * * [progress]: [ 112 / 197 ] simplifiying candidate # 32.855 * * * * [progress]: [ 113 / 197 ] simplifiying candidate # 32.855 * * * * [progress]: [ 114 / 197 ] simplifiying candidate # 32.855 * * * * [progress]: [ 115 / 197 ] simplifiying candidate # 32.855 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 32.855 * * [simplify]: iters left: 6 (17 enodes) 32.864 * * [simplify]: iters left: 5 (69 enodes) 32.887 * * [simplify]: iters left: 4 (113 enodes) 32.938 * * [simplify]: iters left: 3 (306 enodes) 33.089 * * [simplify]: Extracting #0: cost 1 inf + 0 33.089 * * [simplify]: Extracting #1: cost 34 inf + 0 33.090 * * [simplify]: Extracting #2: cost 91 inf + 0 33.091 * * [simplify]: Extracting #3: cost 140 inf + 147 33.094 * * [simplify]: Extracting #4: cost 120 inf + 7792 33.107 * * [simplify]: Extracting #5: cost 19 inf + 37202 33.126 * * [simplify]: Extracting #6: cost 0 inf + 44869 33.145 * * [simplify]: Extracting #7: cost 0 inf + 44867 33.163 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 33.163 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))))) 33.163 * * * * [progress]: [ 116 / 197 ] simplifiying candidate # 33.164 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 33.164 * * [simplify]: iters left: 6 (18 enodes) 33.179 * * [simplify]: iters left: 5 (74 enodes) 33.204 * * [simplify]: iters left: 4 (131 enodes) 33.262 * * [simplify]: iters left: 3 (343 enodes) 33.420 * * [simplify]: Extracting #0: cost 1 inf + 0 33.420 * * [simplify]: Extracting #1: cost 36 inf + 0 33.420 * * [simplify]: Extracting #2: cost 135 inf + 1 33.421 * * [simplify]: Extracting #3: cost 182 inf + 442 33.423 * * [simplify]: Extracting #4: cost 152 inf + 12475 33.433 * * [simplify]: Extracting #5: cost 17 inf + 54342 33.448 * * [simplify]: Extracting #6: cost 0 inf + 60687 33.464 * * [simplify]: Extracting #7: cost 0 inf + 60680 33.481 * * [simplify]: Extracting #8: cost 0 inf + 60677 33.502 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 33.502 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))))) 33.502 * * * * [progress]: [ 117 / 197 ] simplifiying candidate # 33.502 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 33.502 * * [simplify]: iters left: 6 (18 enodes) 33.508 * * [simplify]: iters left: 5 (75 enodes) 33.520 * * [simplify]: iters left: 4 (121 enodes) 33.559 * * [simplify]: iters left: 3 (324 enodes) 33.697 * * [simplify]: Extracting #0: cost 1 inf + 0 33.697 * * [simplify]: Extracting #1: cost 53 inf + 0 33.698 * * [simplify]: Extracting #2: cost 117 inf + 1 33.698 * * [simplify]: Extracting #3: cost 165 inf + 401 33.700 * * [simplify]: Extracting #4: cost 136 inf + 12136 33.708 * * [simplify]: Extracting #5: cost 31 inf + 46348 33.725 * * [simplify]: Extracting #6: cost 0 inf + 57454 33.744 * * [simplify]: Extracting #7: cost 0 inf + 57352 33.755 * * [simplify]: Extracting #8: cost 0 inf + 57351 33.767 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 33.767 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))))) 33.767 * * * * [progress]: [ 118 / 197 ] simplifiying candidate # 33.767 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 33.767 * * [simplify]: iters left: 6 (17 enodes) 33.773 * * [simplify]: iters left: 5 (72 enodes) 33.795 * * [simplify]: iters left: 4 (119 enodes) 33.824 * * [simplify]: iters left: 3 (314 enodes) 33.971 * * [simplify]: Extracting #0: cost 1 inf + 0 33.971 * * [simplify]: Extracting #1: cost 35 inf + 0 33.971 * * [simplify]: Extracting #2: cost 106 inf + 1 33.972 * * [simplify]: Extracting #3: cost 150 inf + 331 33.974 * * [simplify]: Extracting #4: cost 128 inf + 9031 33.981 * * [simplify]: Extracting #5: cost 15 inf + 44365 33.992 * * [simplify]: Extracting #6: cost 0 inf + 50212 34.009 * * [simplify]: Extracting #7: cost 0 inf + 50196 34.029 * [simplify]: Simplified to (- (/ (- (+ (log 2) (+ (log n) (log PI))) (* k (+ (log 2) (+ (log n) (log PI))))) 2) (log (sqrt k))) 34.029 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log 2) (+ (log n) (log PI))) (* k (+ (log 2) (+ (log n) (log PI))))) 2) (log (sqrt k))))) 34.029 * * * * [progress]: [ 119 / 197 ] simplifiying candidate # 34.030 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 34.030 * * [simplify]: iters left: 6 (16 enodes) 34.038 * * [simplify]: iters left: 5 (67 enodes) 34.060 * * [simplify]: iters left: 4 (106 enodes) 34.099 * * [simplify]: iters left: 3 (247 enodes) 34.201 * * [simplify]: Extracting #0: cost 1 inf + 0 34.201 * * [simplify]: Extracting #1: cost 29 inf + 0 34.201 * * [simplify]: Extracting #2: cost 82 inf + 0 34.202 * * [simplify]: Extracting #3: cost 116 inf + 575 34.205 * * [simplify]: Extracting #4: cost 103 inf + 6299 34.214 * * [simplify]: Extracting #5: cost 33 inf + 25185 34.228 * * [simplify]: Extracting #6: cost 3 inf + 34801 34.246 * * [simplify]: Extracting #7: cost 0 inf + 35420 34.262 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 34.262 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 34.262 * * * * [progress]: [ 120 / 197 ] simplifiying candidate # 34.263 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 34.263 * * [simplify]: iters left: 6 (17 enodes) 34.272 * * [simplify]: iters left: 5 (72 enodes) 34.288 * * [simplify]: iters left: 4 (124 enodes) 34.320 * * [simplify]: iters left: 3 (283 enodes) 34.462 * * [simplify]: Extracting #0: cost 1 inf + 0 34.462 * * [simplify]: Extracting #1: cost 31 inf + 0 34.463 * * [simplify]: Extracting #2: cost 118 inf + 1 34.464 * * [simplify]: Extracting #3: cost 160 inf + 261 34.468 * * [simplify]: Extracting #4: cost 133 inf + 9328 34.480 * * [simplify]: Extracting #5: cost 43 inf + 34393 34.498 * * [simplify]: Extracting #6: cost 9 inf + 45459 34.510 * * [simplify]: Extracting #7: cost 0 inf + 48148 34.521 * * [simplify]: Extracting #8: cost 0 inf + 47906 34.533 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 34.533 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 34.534 * * * * [progress]: [ 121 / 197 ] simplifiying candidate # 34.534 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 34.534 * * [simplify]: iters left: 6 (17 enodes) 34.544 * * [simplify]: iters left: 5 (73 enodes) 34.568 * * [simplify]: iters left: 4 (114 enodes) 34.591 * * [simplify]: iters left: 3 (265 enodes) 34.705 * * [simplify]: Extracting #0: cost 1 inf + 0 34.705 * * [simplify]: Extracting #1: cost 42 inf + 0 34.705 * * [simplify]: Extracting #2: cost 100 inf + 1 34.706 * * [simplify]: Extracting #3: cost 136 inf + 386 34.707 * * [simplify]: Extracting #4: cost 124 inf + 5458 34.712 * * [simplify]: Extracting #5: cost 38 inf + 29744 34.720 * * [simplify]: Extracting #6: cost 3 inf + 41290 34.736 * * [simplify]: Extracting #7: cost 0 inf + 42504 34.749 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 34.749 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 34.749 * * * * [progress]: [ 122 / 197 ] simplifiying candidate # 34.749 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 34.749 * * [simplify]: iters left: 6 (16 enodes) 34.754 * * [simplify]: iters left: 5 (70 enodes) 34.765 * * [simplify]: iters left: 4 (112 enodes) 34.805 * * [simplify]: iters left: 3 (256 enodes) 34.913 * * [simplify]: Extracting #0: cost 1 inf + 0 34.914 * * [simplify]: Extracting #1: cost 31 inf + 0 34.914 * * [simplify]: Extracting #2: cost 94 inf + 1 34.914 * * [simplify]: Extracting #3: cost 133 inf + 314 34.916 * * [simplify]: Extracting #4: cost 118 inf + 5137 34.920 * * [simplify]: Extracting #5: cost 41 inf + 26009 34.927 * * [simplify]: Extracting #6: cost 8 inf + 36688 34.945 * * [simplify]: Extracting #7: cost 1 inf + 39032 34.961 * * [simplify]: Extracting #8: cost 0 inf + 39377 34.978 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 34.978 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 34.979 * * * * [progress]: [ 123 / 197 ] simplifiying candidate # 34.979 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 34.979 * * [simplify]: iters left: 6 (15 enodes) 34.987 * * [simplify]: iters left: 5 (66 enodes) 35.008 * * [simplify]: iters left: 4 (113 enodes) 35.047 * * [simplify]: iters left: 3 (229 enodes) 35.111 * * [simplify]: Extracting #0: cost 1 inf + 0 35.111 * * [simplify]: Extracting #1: cost 23 inf + 0 35.111 * * [simplify]: Extracting #2: cost 83 inf + 0 35.112 * * [simplify]: Extracting #3: cost 122 inf + 130 35.114 * * [simplify]: Extracting #4: cost 122 inf + 3176 35.119 * * [simplify]: Extracting #5: cost 40 inf + 21068 35.125 * * [simplify]: Extracting #6: cost 2 inf + 30658 35.131 * * [simplify]: Extracting #7: cost 0 inf + 30886 35.140 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 35.140 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 35.140 * * * * [progress]: [ 124 / 197 ] simplifiying candidate # 35.140 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 35.140 * * [simplify]: iters left: 6 (16 enodes) 35.145 * * [simplify]: iters left: 5 (71 enodes) 35.168 * * [simplify]: iters left: 4 (131 enodes) 35.198 * * [simplify]: iters left: 3 (262 enodes) 35.290 * * [simplify]: Extracting #0: cost 1 inf + 0 35.290 * * [simplify]: Extracting #1: cost 27 inf + 0 35.290 * * [simplify]: Extracting #2: cost 112 inf + 1 35.291 * * [simplify]: Extracting #3: cost 151 inf + 302 35.292 * * [simplify]: Extracting #4: cost 142 inf + 5480 35.296 * * [simplify]: Extracting #5: cost 72 inf + 21099 35.303 * * [simplify]: Extracting #6: cost 16 inf + 35543 35.321 * * [simplify]: Extracting #7: cost 0 inf + 40340 35.331 * * [simplify]: Extracting #8: cost 0 inf + 40337 35.340 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 35.340 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 35.340 * * * * [progress]: [ 125 / 197 ] simplifiying candidate # 35.341 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 35.341 * * [simplify]: iters left: 6 (16 enodes) 35.346 * * [simplify]: iters left: 5 (72 enodes) 35.364 * * [simplify]: iters left: 4 (121 enodes) 35.403 * * [simplify]: iters left: 3 (247 enodes) 35.512 * * [simplify]: Extracting #0: cost 1 inf + 0 35.513 * * [simplify]: Extracting #1: cost 33 inf + 0 35.513 * * [simplify]: Extracting #2: cost 97 inf + 1 35.514 * * [simplify]: Extracting #3: cost 133 inf + 373 35.516 * * [simplify]: Extracting #4: cost 123 inf + 5352 35.523 * * [simplify]: Extracting #5: cost 38 inf + 24521 35.538 * * [simplify]: Extracting #6: cost 3 inf + 35147 35.551 * * [simplify]: Extracting #7: cost 0 inf + 35848 35.560 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 35.560 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 35.560 * * * * [progress]: [ 126 / 197 ] simplifiying candidate # 35.560 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 35.561 * * [simplify]: iters left: 6 (15 enodes) 35.565 * * [simplify]: iters left: 5 (69 enodes) 35.576 * * [simplify]: iters left: 4 (119 enodes) 35.611 * * [simplify]: iters left: 3 (239 enodes) 35.731 * * [simplify]: Extracting #0: cost 1 inf + 0 35.731 * * [simplify]: Extracting #1: cost 25 inf + 0 35.732 * * [simplify]: Extracting #2: cost 94 inf + 1 35.732 * * [simplify]: Extracting #3: cost 132 inf + 273 35.734 * * [simplify]: Extracting #4: cost 115 inf + 6476 35.739 * * [simplify]: Extracting #5: cost 12 inf + 31154 35.746 * * [simplify]: Extracting #6: cost 0 inf + 34674 35.756 * * [simplify]: Extracting #7: cost 0 inf + 34574 35.768 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 35.768 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 35.768 * * * * [progress]: [ 127 / 197 ] simplifiying candidate # 35.769 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 35.769 * * [simplify]: iters left: 6 (15 enodes) 35.773 * * [simplify]: iters left: 5 (66 enodes) 35.784 * * [simplify]: iters left: 4 (113 enodes) 35.805 * * [simplify]: iters left: 3 (229 enodes) 35.863 * * [simplify]: Extracting #0: cost 1 inf + 0 35.863 * * [simplify]: Extracting #1: cost 23 inf + 0 35.863 * * [simplify]: Extracting #2: cost 83 inf + 0 35.863 * * [simplify]: Extracting #3: cost 122 inf + 130 35.864 * * [simplify]: Extracting #4: cost 122 inf + 3176 35.867 * * [simplify]: Extracting #5: cost 40 inf + 21068 35.873 * * [simplify]: Extracting #6: cost 2 inf + 30658 35.880 * * [simplify]: Extracting #7: cost 0 inf + 30886 35.887 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 35.887 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 35.887 * * * * [progress]: [ 128 / 197 ] simplifiying candidate # 35.887 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 35.888 * * [simplify]: iters left: 6 (16 enodes) 35.892 * * [simplify]: iters left: 5 (71 enodes) 35.907 * * [simplify]: iters left: 4 (131 enodes) 35.940 * * [simplify]: iters left: 3 (262 enodes) 36.068 * * [simplify]: Extracting #0: cost 1 inf + 0 36.068 * * [simplify]: Extracting #1: cost 27 inf + 0 36.068 * * [simplify]: Extracting #2: cost 112 inf + 1 36.069 * * [simplify]: Extracting #3: cost 151 inf + 302 36.072 * * [simplify]: Extracting #4: cost 142 inf + 5480 36.080 * * [simplify]: Extracting #5: cost 72 inf + 21099 36.094 * * [simplify]: Extracting #6: cost 16 inf + 35543 36.111 * * [simplify]: Extracting #7: cost 0 inf + 40340 36.120 * * [simplify]: Extracting #8: cost 0 inf + 40337 36.133 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 36.133 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 36.133 * * * * [progress]: [ 129 / 197 ] simplifiying candidate # 36.133 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 36.133 * * [simplify]: iters left: 6 (16 enodes) 36.139 * * [simplify]: iters left: 5 (72 enodes) 36.150 * * [simplify]: iters left: 4 (121 enodes) 36.194 * * [simplify]: iters left: 3 (247 enodes) 36.283 * * [simplify]: Extracting #0: cost 1 inf + 0 36.284 * * [simplify]: Extracting #1: cost 33 inf + 0 36.284 * * [simplify]: Extracting #2: cost 97 inf + 1 36.285 * * [simplify]: Extracting #3: cost 133 inf + 373 36.287 * * [simplify]: Extracting #4: cost 123 inf + 5352 36.295 * * [simplify]: Extracting #5: cost 38 inf + 24521 36.302 * * [simplify]: Extracting #6: cost 3 inf + 35147 36.310 * * [simplify]: Extracting #7: cost 0 inf + 35848 36.320 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 36.320 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 36.320 * * * * [progress]: [ 130 / 197 ] simplifiying candidate # 36.321 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 36.321 * * [simplify]: iters left: 6 (15 enodes) 36.326 * * [simplify]: iters left: 5 (69 enodes) 36.343 * * [simplify]: iters left: 4 (119 enodes) 36.385 * * [simplify]: iters left: 3 (239 enodes) 36.508 * * [simplify]: Extracting #0: cost 1 inf + 0 36.508 * * [simplify]: Extracting #1: cost 25 inf + 0 36.509 * * [simplify]: Extracting #2: cost 94 inf + 1 36.510 * * [simplify]: Extracting #3: cost 132 inf + 273 36.512 * * [simplify]: Extracting #4: cost 115 inf + 6476 36.523 * * [simplify]: Extracting #5: cost 12 inf + 31154 36.534 * * [simplify]: Extracting #6: cost 0 inf + 34674 36.541 * * [simplify]: Extracting #7: cost 0 inf + 34574 36.548 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 36.549 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 36.549 * * * * [progress]: [ 131 / 197 ] simplifiying candidate # 36.549 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log (sqrt k)))) 36.549 * * [simplify]: iters left: 6 (15 enodes) 36.556 * * [simplify]: iters left: 5 (64 enodes) 36.568 * * [simplify]: iters left: 4 (112 enodes) 36.599 * * [simplify]: iters left: 3 (215 enodes) 36.671 * * [simplify]: Extracting #0: cost 1 inf + 0 36.671 * * [simplify]: Extracting #1: cost 24 inf + 0 36.671 * * [simplify]: Extracting #2: cost 109 inf + 0 36.672 * * [simplify]: Extracting #3: cost 173 inf + 4 36.674 * * [simplify]: Extracting #4: cost 159 inf + 2128 36.679 * * [simplify]: Extracting #5: cost 86 inf + 16632 36.685 * * [simplify]: Extracting #6: cost 2 inf + 39628 36.692 * * [simplify]: Extracting #7: cost 0 inf + 39658 36.699 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))) 36.699 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 36.699 * * * * [progress]: [ 132 / 197 ] simplifiying candidate # 36.699 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- 0 (log (sqrt k)))) 36.700 * * [simplify]: iters left: 6 (16 enodes) 36.704 * * [simplify]: iters left: 5 (69 enodes) 36.716 * * [simplify]: iters left: 4 (129 enodes) 36.749 * * [simplify]: iters left: 3 (250 enodes) 36.848 * * [simplify]: Extracting #0: cost 1 inf + 0 36.849 * * [simplify]: Extracting #1: cost 28 inf + 0 36.849 * * [simplify]: Extracting #2: cost 142 inf + 1 36.850 * * [simplify]: Extracting #3: cost 208 inf + 5 36.853 * * [simplify]: Extracting #4: cost 168 inf + 5893 36.861 * * [simplify]: Extracting #5: cost 44 inf + 35824 36.870 * * [simplify]: Extracting #6: cost 2 inf + 50163 36.878 * * [simplify]: Extracting #7: cost 0 inf + 51246 36.891 * [simplify]: Simplified to (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))) 36.891 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))))) 36.891 * * * * [progress]: [ 133 / 197 ] simplifiying candidate # 36.892 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log 1) (log (sqrt k)))) 36.892 * * [simplify]: iters left: 6 (16 enodes) 36.901 * * [simplify]: iters left: 5 (70 enodes) 36.924 * * [simplify]: iters left: 4 (119 enodes) 36.947 * * [simplify]: iters left: 3 (239 enodes) 37.016 * * [simplify]: Extracting #0: cost 1 inf + 0 37.016 * * [simplify]: Extracting #1: cost 34 inf + 0 37.017 * * [simplify]: Extracting #2: cost 124 inf + 1 37.018 * * [simplify]: Extracting #3: cost 187 inf + 5 37.020 * * [simplify]: Extracting #4: cost 147 inf + 6512 37.030 * * [simplify]: Extracting #5: cost 34 inf + 32936 37.046 * * [simplify]: Extracting #6: cost 0 inf + 45571 37.065 * * [simplify]: Extracting #7: cost 0 inf + 45374 37.081 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))) 37.081 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))))) 37.081 * * * * [progress]: [ 134 / 197 ] simplifiying candidate # 37.082 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (/ 1 (sqrt k)))) 37.082 * * [simplify]: iters left: 6 (15 enodes) 37.090 * * [simplify]: iters left: 5 (67 enodes) 37.113 * * [simplify]: iters left: 4 (118 enodes) 37.142 * * [simplify]: iters left: 3 (225 enodes) 37.200 * * [simplify]: Extracting #0: cost 1 inf + 0 37.200 * * [simplify]: Extracting #1: cost 26 inf + 0 37.201 * * [simplify]: Extracting #2: cost 121 inf + 1 37.202 * * [simplify]: Extracting #3: cost 186 inf + 5 37.204 * * [simplify]: Extracting #4: cost 155 inf + 4693 37.212 * * [simplify]: Extracting #5: cost 39 inf + 29468 37.227 * * [simplify]: Extracting #6: cost 3 inf + 42209 37.242 * * [simplify]: Extracting #7: cost 0 inf + 44155 37.257 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))) 37.257 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))))) 37.258 * * * * [progress]: [ 135 / 197 ] simplifiying candidate # 37.258 * * * * [progress]: [ 136 / 197 ] simplifiying candidate # 37.258 * * * * [progress]: [ 137 / 197 ] simplifiying candidate # 37.258 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 37.259 * * [simplify]: iters left: 6 (19 enodes) 37.269 * * [simplify]: iters left: 5 (80 enodes) 37.301 * * [simplify]: iters left: 4 (188 enodes) 37.376 * * [simplify]: Extracting #0: cost 1 inf + 0 37.377 * * [simplify]: Extracting #1: cost 50 inf + 0 37.378 * * [simplify]: Extracting #2: cost 145 inf + 206 37.379 * * [simplify]: Extracting #3: cost 157 inf + 1393 37.381 * * [simplify]: Extracting #4: cost 146 inf + 2848 37.391 * * [simplify]: Extracting #5: cost 56 inf + 40587 37.411 * * [simplify]: Extracting #6: cost 0 inf + 73945 37.431 * * [simplify]: Extracting #7: cost 0 inf + 73750 37.451 * [simplify]: Simplified to (/ (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) 2)) 3) (sqrt k)) k) 37.451 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) 2)) 3) (sqrt k)) k))) 37.451 * * * * [progress]: [ 138 / 197 ] simplifiying candidate # 37.451 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) 37.452 * * [simplify]: iters left: 6 (17 enodes) 37.460 * * [simplify]: iters left: 5 (81 enodes) 37.475 * * [simplify]: iters left: 4 (174 enodes) 37.555 * * [simplify]: iters left: 3 (492 enodes) 37.876 * * [simplify]: Extracting #0: cost 1 inf + 0 37.876 * * [simplify]: Extracting #1: cost 79 inf + 0 37.878 * * [simplify]: Extracting #2: cost 422 inf + 45 37.880 * * [simplify]: Extracting #3: cost 467 inf + 1578 37.882 * * [simplify]: Extracting #4: cost 451 inf + 4029 37.903 * * [simplify]: Extracting #5: cost 241 inf + 124146 37.965 * * [simplify]: Extracting #6: cost 11 inf + 301244 38.021 * * [simplify]: Extracting #7: cost 0 inf + 301839 38.101 * * [simplify]: Extracting #8: cost 0 inf + 300567 38.156 * [simplify]: Simplified to (/ (* (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (* (sqrt k) k)) 38.156 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (* (sqrt k) k)))) 38.156 * * * * [progress]: [ 139 / 197 ] simplifiying candidate # 38.156 * * * * [progress]: [ 140 / 197 ] simplifiying candidate # 38.156 * * * * [progress]: [ 141 / 197 ] simplifiying candidate # 38.156 * * * * [progress]: [ 142 / 197 ] simplifiying candidate # 38.157 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) 1) 38.157 * * [simplify]: iters left: 6 (9 enodes) 38.160 * * [simplify]: iters left: 5 (37 enodes) 38.171 * * [simplify]: iters left: 4 (66 enodes) 38.185 * * [simplify]: iters left: 3 (106 enodes) 38.206 * * [simplify]: iters left: 2 (160 enodes) 38.254 * * [simplify]: iters left: 1 (277 enodes) 38.357 * * [simplify]: Extracting #0: cost 1 inf + 0 38.357 * * [simplify]: Extracting #1: cost 18 inf + 0 38.357 * * [simplify]: Extracting #2: cost 67 inf + 3 38.358 * * [simplify]: Extracting #3: cost 72 inf + 11 38.359 * * [simplify]: Extracting #4: cost 58 inf + 2363 38.366 * * [simplify]: Extracting #5: cost 25 inf + 17516 38.375 * * [simplify]: Extracting #6: cost 1 inf + 34423 38.383 * * [simplify]: Extracting #7: cost 0 inf + 35219 38.387 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 38.387 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k)))) 38.387 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k)) 38.387 * * [simplify]: iters left: 6 (10 enodes) 38.390 * * [simplify]: iters left: 5 (38 enodes) 38.396 * * [simplify]: iters left: 4 (62 enodes) 38.406 * * [simplify]: iters left: 3 (104 enodes) 38.439 * * [simplify]: iters left: 2 (207 enodes) 38.524 * * [simplify]: iters left: 1 (463 enodes) 38.847 * * [simplify]: Extracting #0: cost 1 inf + 0 38.847 * * [simplify]: Extracting #1: cost 54 inf + 0 38.848 * * [simplify]: Extracting #2: cost 171 inf + 0 38.850 * * [simplify]: Extracting #3: cost 210 inf + 45 38.853 * * [simplify]: Extracting #4: cost 181 inf + 4887 38.858 * * [simplify]: Extracting #5: cost 140 inf + 13636 38.876 * * [simplify]: Extracting #6: cost 43 inf + 93420 38.893 * * [simplify]: Extracting #7: cost 0 inf + 133565 38.921 * * [simplify]: Extracting #8: cost 0 inf + 131993 38.960 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (* 1/2 k)) (sqrt k)) 38.960 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (pow (* (* PI 2) n) (* 1/2 k)) (sqrt k)))) 38.960 * * * * [progress]: [ 143 / 197 ] simplifiying candidate # 38.960 * * * * [progress]: [ 144 / 197 ] simplifiying candidate # 38.961 * [simplify]: Simplifying (sqrt k) 38.961 * * [simplify]: iters left: 1 (2 enodes) 38.961 * * [simplify]: Extracting #0: cost 1 inf + 0 38.961 * * [simplify]: Extracting #1: cost 3 inf + 0 38.961 * * [simplify]: Extracting #2: cost 2 inf + 1 38.961 * * [simplify]: Extracting #3: cost 0 inf + 83 38.961 * [simplify]: Simplified to (sqrt k) 38.961 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 38.961 * * * * [progress]: [ 145 / 197 ] simplifiying candidate # 38.962 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 38.962 * * [simplify]: iters left: 6 (15 enodes) 38.966 * * [simplify]: iters left: 5 (61 enodes) 38.976 * * [simplify]: iters left: 4 (95 enodes) 38.992 * * [simplify]: iters left: 3 (135 enodes) 39.030 * * [simplify]: iters left: 2 (208 enodes) 39.099 * * [simplify]: iters left: 1 (367 enodes) 39.242 * * [simplify]: Extracting #0: cost 1 inf + 0 39.242 * * [simplify]: Extracting #1: cost 4 inf + 0 39.242 * * [simplify]: Extracting #2: cost 9 inf + 0 39.242 * * [simplify]: Extracting #3: cost 40 inf + 0 39.243 * * [simplify]: Extracting #4: cost 123 inf + 2 39.243 * * [simplify]: Extracting #5: cost 149 inf + 428 39.245 * * [simplify]: Extracting #6: cost 95 inf + 7564 39.249 * * [simplify]: Extracting #7: cost 43 inf + 25541 39.260 * * [simplify]: Extracting #8: cost 5 inf + 57306 39.269 * * [simplify]: Extracting #9: cost 0 inf + 61577 39.278 * * [simplify]: Extracting #10: cost 0 inf + 61496 39.288 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k)))) 39.288 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))))) 39.288 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 39.289 * * [simplify]: iters left: 6 (15 enodes) 39.293 * * [simplify]: iters left: 5 (61 enodes) 39.303 * * [simplify]: iters left: 4 (95 enodes) 39.327 * * [simplify]: iters left: 3 (135 enodes) 39.373 * * [simplify]: iters left: 2 (208 enodes) 39.432 * * [simplify]: iters left: 1 (367 enodes) 39.538 * * [simplify]: Extracting #0: cost 1 inf + 0 39.538 * * [simplify]: Extracting #1: cost 4 inf + 0 39.539 * * [simplify]: Extracting #2: cost 9 inf + 0 39.539 * * [simplify]: Extracting #3: cost 40 inf + 0 39.539 * * [simplify]: Extracting #4: cost 123 inf + 2 39.540 * * [simplify]: Extracting #5: cost 149 inf + 428 39.544 * * [simplify]: Extracting #6: cost 95 inf + 7564 39.552 * * [simplify]: Extracting #7: cost 43 inf + 25541 39.569 * * [simplify]: Extracting #8: cost 5 inf + 57306 39.588 * * [simplify]: Extracting #9: cost 0 inf + 61577 39.606 * * [simplify]: Extracting #10: cost 0 inf + 61496 39.621 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k)))) 39.621 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k)))))) 39.621 * * * * [progress]: [ 146 / 197 ] simplifiying candidate # 39.621 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 39.621 * * [simplify]: iters left: 6 (16 enodes) 39.626 * * [simplify]: iters left: 5 (66 enodes) 39.637 * * [simplify]: iters left: 4 (106 enodes) 39.662 * * [simplify]: iters left: 3 (151 enodes) 39.696 * * [simplify]: iters left: 2 (225 enodes) 39.744 * * [simplify]: iters left: 1 (378 enodes) 39.878 * * [simplify]: Extracting #0: cost 1 inf + 0 39.878 * * [simplify]: Extracting #1: cost 7 inf + 0 39.878 * * [simplify]: Extracting #2: cost 13 inf + 1 39.878 * * [simplify]: Extracting #3: cost 42 inf + 1 39.879 * * [simplify]: Extracting #4: cost 113 inf + 125 39.879 * * [simplify]: Extracting #5: cost 140 inf + 1039 39.881 * * [simplify]: Extracting #6: cost 89 inf + 7670 39.890 * * [simplify]: Extracting #7: cost 37 inf + 28450 39.907 * * [simplify]: Extracting #8: cost 2 inf + 56186 39.927 * * [simplify]: Extracting #9: cost 0 inf + 57532 39.946 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 39.946 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))))) 39.947 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 39.947 * * [simplify]: iters left: 6 (16 enodes) 39.958 * * [simplify]: iters left: 5 (66 enodes) 39.984 * * [simplify]: iters left: 4 (106 enodes) 40.012 * * [simplify]: iters left: 3 (151 enodes) 40.034 * * [simplify]: iters left: 2 (225 enodes) 40.091 * * [simplify]: iters left: 1 (378 enodes) 40.227 * * [simplify]: Extracting #0: cost 1 inf + 0 40.227 * * [simplify]: Extracting #1: cost 7 inf + 0 40.227 * * [simplify]: Extracting #2: cost 13 inf + 1 40.227 * * [simplify]: Extracting #3: cost 42 inf + 1 40.227 * * [simplify]: Extracting #4: cost 113 inf + 125 40.228 * * [simplify]: Extracting #5: cost 140 inf + 1039 40.230 * * [simplify]: Extracting #6: cost 89 inf + 7670 40.235 * * [simplify]: Extracting #7: cost 37 inf + 28450 40.244 * * [simplify]: Extracting #8: cost 2 inf + 56186 40.253 * * [simplify]: Extracting #9: cost 0 inf + 57532 40.263 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 40.263 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 40.263 * * * * [progress]: [ 147 / 197 ] simplifiying candidate # 40.263 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 40.264 * * [simplify]: iters left: 6 (16 enodes) 40.272 * * [simplify]: iters left: 5 (66 enodes) 40.282 * * [simplify]: iters left: 4 (106 enodes) 40.308 * * [simplify]: iters left: 3 (151 enodes) 40.334 * * [simplify]: iters left: 2 (225 enodes) 40.404 * * [simplify]: iters left: 1 (378 enodes) 40.530 * * [simplify]: Extracting #0: cost 1 inf + 0 40.530 * * [simplify]: Extracting #1: cost 7 inf + 0 40.530 * * [simplify]: Extracting #2: cost 13 inf + 1 40.530 * * [simplify]: Extracting #3: cost 42 inf + 1 40.530 * * [simplify]: Extracting #4: cost 113 inf + 125 40.531 * * [simplify]: Extracting #5: cost 140 inf + 1039 40.533 * * [simplify]: Extracting #6: cost 89 inf + 7670 40.538 * * [simplify]: Extracting #7: cost 37 inf + 28450 40.547 * * [simplify]: Extracting #8: cost 2 inf + 56186 40.557 * * [simplify]: Extracting #9: cost 0 inf + 57532 40.569 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 40.569 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))))) 40.569 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 40.569 * * [simplify]: iters left: 6 (16 enodes) 40.575 * * [simplify]: iters left: 5 (66 enodes) 40.588 * * [simplify]: iters left: 4 (106 enodes) 40.621 * * [simplify]: iters left: 3 (151 enodes) 40.657 * * [simplify]: iters left: 2 (225 enodes) 40.699 * * [simplify]: iters left: 1 (378 enodes) 40.807 * * [simplify]: Extracting #0: cost 1 inf + 0 40.807 * * [simplify]: Extracting #1: cost 7 inf + 0 40.807 * * [simplify]: Extracting #2: cost 13 inf + 1 40.807 * * [simplify]: Extracting #3: cost 42 inf + 1 40.808 * * [simplify]: Extracting #4: cost 113 inf + 125 40.809 * * [simplify]: Extracting #5: cost 140 inf + 1039 40.813 * * [simplify]: Extracting #6: cost 89 inf + 7670 40.823 * * [simplify]: Extracting #7: cost 37 inf + 28450 40.843 * * [simplify]: Extracting #8: cost 2 inf + 56186 40.862 * * [simplify]: Extracting #9: cost 0 inf + 57532 40.881 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 40.881 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 40.882 * * * * [progress]: [ 148 / 197 ] simplifiying candidate # 40.882 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 40.882 * * [simplify]: iters left: 6 (15 enodes) 40.890 * * [simplify]: iters left: 5 (63 enodes) 40.912 * * [simplify]: iters left: 4 (101 enodes) 40.944 * * [simplify]: iters left: 3 (147 enodes) 40.989 * * [simplify]: iters left: 2 (218 enodes) 41.038 * * [simplify]: iters left: 1 (379 enodes) 41.143 * * [simplify]: Extracting #0: cost 1 inf + 0 41.144 * * [simplify]: Extracting #1: cost 7 inf + 0 41.144 * * [simplify]: Extracting #2: cost 13 inf + 1 41.144 * * [simplify]: Extracting #3: cost 42 inf + 1 41.144 * * [simplify]: Extracting #4: cost 116 inf + 369 41.145 * * [simplify]: Extracting #5: cost 131 inf + 1622 41.150 * * [simplify]: Extracting #6: cost 72 inf + 13805 41.157 * * [simplify]: Extracting #7: cost 15 inf + 47860 41.167 * * [simplify]: Extracting #8: cost 0 inf + 61860 41.177 * * [simplify]: Extracting #9: cost 0 inf + 60325 41.188 * * [simplify]: Extracting #10: cost 0 inf + 58429 41.208 * * [simplify]: Extracting #11: cost 0 inf + 57511 41.229 * * [simplify]: Extracting #12: cost 0 inf + 57420 41.250 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 41.250 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))))) 41.250 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 41.250 * * [simplify]: iters left: 6 (15 enodes) 41.259 * * [simplify]: iters left: 5 (63 enodes) 41.281 * * [simplify]: iters left: 4 (101 enodes) 41.312 * * [simplify]: iters left: 3 (147 enodes) 41.357 * * [simplify]: iters left: 2 (218 enodes) 41.436 * * [simplify]: iters left: 1 (379 enodes) 41.599 * * [simplify]: Extracting #0: cost 1 inf + 0 41.599 * * [simplify]: Extracting #1: cost 7 inf + 0 41.599 * * [simplify]: Extracting #2: cost 13 inf + 1 41.599 * * [simplify]: Extracting #3: cost 42 inf + 1 41.599 * * [simplify]: Extracting #4: cost 116 inf + 369 41.600 * * [simplify]: Extracting #5: cost 131 inf + 1622 41.602 * * [simplify]: Extracting #6: cost 72 inf + 13805 41.613 * * [simplify]: Extracting #7: cost 15 inf + 47860 41.633 * * [simplify]: Extracting #8: cost 0 inf + 61860 41.653 * * [simplify]: Extracting #9: cost 0 inf + 60325 41.676 * * [simplify]: Extracting #10: cost 0 inf + 58429 41.694 * * [simplify]: Extracting #11: cost 0 inf + 57511 41.704 * * [simplify]: Extracting #12: cost 0 inf + 57420 41.715 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 41.715 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 41.715 * * * * [progress]: [ 149 / 197 ] simplifiying candidate # 41.715 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 41.716 * * [simplify]: iters left: 6 (15 enodes) 41.720 * * [simplify]: iters left: 5 (63 enodes) 41.733 * * [simplify]: iters left: 4 (101 enodes) 41.765 * * [simplify]: iters left: 3 (147 enodes) 41.801 * * [simplify]: iters left: 2 (218 enodes) 41.846 * * [simplify]: iters left: 1 (379 enodes) 41.991 * * [simplify]: Extracting #0: cost 1 inf + 0 41.991 * * [simplify]: Extracting #1: cost 7 inf + 0 41.991 * * [simplify]: Extracting #2: cost 13 inf + 1 41.992 * * [simplify]: Extracting #3: cost 42 inf + 1 41.992 * * [simplify]: Extracting #4: cost 116 inf + 369 41.993 * * [simplify]: Extracting #5: cost 131 inf + 1622 41.995 * * [simplify]: Extracting #6: cost 72 inf + 13805 42.003 * * [simplify]: Extracting #7: cost 15 inf + 47860 42.013 * * [simplify]: Extracting #8: cost 0 inf + 61860 42.024 * * [simplify]: Extracting #9: cost 0 inf + 60325 42.034 * * [simplify]: Extracting #10: cost 0 inf + 58429 42.045 * * [simplify]: Extracting #11: cost 0 inf + 57511 42.056 * * [simplify]: Extracting #12: cost 0 inf + 57420 42.079 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 42.079 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))))) 42.080 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 42.080 * * [simplify]: iters left: 6 (15 enodes) 42.088 * * [simplify]: iters left: 5 (63 enodes) 42.110 * * [simplify]: iters left: 4 (101 enodes) 42.127 * * [simplify]: iters left: 3 (147 enodes) 42.153 * * [simplify]: iters left: 2 (218 enodes) 42.196 * * [simplify]: iters left: 1 (379 enodes) 42.349 * * [simplify]: Extracting #0: cost 1 inf + 0 42.349 * * [simplify]: Extracting #1: cost 7 inf + 0 42.349 * * [simplify]: Extracting #2: cost 13 inf + 1 42.349 * * [simplify]: Extracting #3: cost 42 inf + 1 42.349 * * [simplify]: Extracting #4: cost 116 inf + 369 42.350 * * [simplify]: Extracting #5: cost 131 inf + 1622 42.353 * * [simplify]: Extracting #6: cost 72 inf + 13805 42.361 * * [simplify]: Extracting #7: cost 15 inf + 47860 42.380 * * [simplify]: Extracting #8: cost 0 inf + 61860 42.395 * * [simplify]: Extracting #9: cost 0 inf + 60325 42.405 * * [simplify]: Extracting #10: cost 0 inf + 58429 42.417 * * [simplify]: Extracting #11: cost 0 inf + 57511 42.437 * * [simplify]: Extracting #12: cost 0 inf + 57420 42.458 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 42.458 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 42.458 * * * * [progress]: [ 150 / 197 ] simplifiying candidate # 42.459 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) 42.459 * * [simplify]: iters left: 6 (15 enodes) 42.467 * * [simplify]: iters left: 5 (64 enodes) 42.479 * * [simplify]: iters left: 4 (104 enodes) 42.502 * * [simplify]: iters left: 3 (167 enodes) 42.564 * * [simplify]: iters left: 2 (322 enodes) 42.674 * * [simplify]: Extracting #0: cost 1 inf + 0 42.674 * * [simplify]: Extracting #1: cost 34 inf + 0 42.675 * * [simplify]: Extracting #2: cost 104 inf + 0 42.675 * * [simplify]: Extracting #3: cost 158 inf + 2 42.676 * * [simplify]: Extracting #4: cost 169 inf + 181 42.677 * * [simplify]: Extracting #5: cost 138 inf + 4240 42.679 * * [simplify]: Extracting #6: cost 86 inf + 12902 42.691 * * [simplify]: Extracting #7: cost 20 inf + 56686 42.711 * * [simplify]: Extracting #8: cost 0 inf + 73863 42.732 * * [simplify]: Extracting #9: cost 0 inf + 73230 42.756 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) 42.756 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))))) 42.757 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) 42.757 * * [simplify]: iters left: 6 (15 enodes) 42.766 * * [simplify]: iters left: 5 (64 enodes) 42.787 * * [simplify]: iters left: 4 (104 enodes) 42.820 * * [simplify]: iters left: 3 (167 enodes) 42.854 * * [simplify]: iters left: 2 (322 enodes) 42.976 * * [simplify]: Extracting #0: cost 1 inf + 0 42.976 * * [simplify]: Extracting #1: cost 34 inf + 0 42.976 * * [simplify]: Extracting #2: cost 104 inf + 0 42.977 * * [simplify]: Extracting #3: cost 158 inf + 2 42.980 * * [simplify]: Extracting #4: cost 169 inf + 181 42.982 * * [simplify]: Extracting #5: cost 138 inf + 4240 42.984 * * [simplify]: Extracting #6: cost 86 inf + 12902 42.992 * * [simplify]: Extracting #7: cost 20 inf + 56686 43.011 * * [simplify]: Extracting #8: cost 0 inf + 73863 43.032 * * [simplify]: Extracting #9: cost 0 inf + 73230 43.053 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) 43.053 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))))) 43.054 * * * * [progress]: [ 151 / 197 ] simplifiying candidate # 43.054 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 43.054 * * [simplify]: iters left: 6 (16 enodes) 43.060 * * [simplify]: iters left: 5 (69 enodes) 43.071 * * [simplify]: iters left: 4 (113 enodes) 43.097 * * [simplify]: iters left: 3 (191 enodes) 43.166 * * [simplify]: iters left: 2 (381 enodes) 43.276 * * [simplify]: Extracting #0: cost 1 inf + 0 43.276 * * [simplify]: Extracting #1: cost 36 inf + 0 43.276 * * [simplify]: Extracting #2: cost 108 inf + 1 43.277 * * [simplify]: Extracting #3: cost 166 inf + 2 43.278 * * [simplify]: Extracting #4: cost 168 inf + 639 43.279 * * [simplify]: Extracting #5: cost 117 inf + 7263 43.285 * * [simplify]: Extracting #6: cost 47 inf + 36706 43.302 * * [simplify]: Extracting #7: cost 3 inf + 72435 43.320 * * [simplify]: Extracting #8: cost 0 inf + 75548 43.332 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 43.332 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))))) 43.333 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 43.333 * * [simplify]: iters left: 6 (16 enodes) 43.338 * * [simplify]: iters left: 5 (69 enodes) 43.356 * * [simplify]: iters left: 4 (113 enodes) 43.387 * * [simplify]: iters left: 3 (191 enodes) 43.425 * * [simplify]: iters left: 2 (381 enodes) 43.556 * * [simplify]: Extracting #0: cost 1 inf + 0 43.557 * * [simplify]: Extracting #1: cost 36 inf + 0 43.557 * * [simplify]: Extracting #2: cost 108 inf + 1 43.558 * * [simplify]: Extracting #3: cost 166 inf + 2 43.560 * * [simplify]: Extracting #4: cost 168 inf + 639 43.563 * * [simplify]: Extracting #5: cost 117 inf + 7263 43.575 * * [simplify]: Extracting #6: cost 47 inf + 36706 43.597 * * [simplify]: Extracting #7: cost 3 inf + 72435 43.609 * * [simplify]: Extracting #8: cost 0 inf + 75548 43.621 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 43.621 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 43.621 * * * * [progress]: [ 152 / 197 ] simplifiying candidate # 43.622 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 43.622 * * [simplify]: iters left: 6 (16 enodes) 43.627 * * [simplify]: iters left: 5 (69 enodes) 43.639 * * [simplify]: iters left: 4 (113 enodes) 43.663 * * [simplify]: iters left: 3 (191 enodes) 43.705 * * [simplify]: iters left: 2 (381 enodes) 43.837 * * [simplify]: Extracting #0: cost 1 inf + 0 43.837 * * [simplify]: Extracting #1: cost 36 inf + 0 43.837 * * [simplify]: Extracting #2: cost 108 inf + 1 43.838 * * [simplify]: Extracting #3: cost 166 inf + 2 43.838 * * [simplify]: Extracting #4: cost 168 inf + 639 43.840 * * [simplify]: Extracting #5: cost 117 inf + 7263 43.846 * * [simplify]: Extracting #6: cost 47 inf + 36706 43.858 * * [simplify]: Extracting #7: cost 3 inf + 72435 43.880 * * [simplify]: Extracting #8: cost 0 inf + 75548 43.892 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 43.892 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))))) 43.892 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 43.892 * * [simplify]: iters left: 6 (16 enodes) 43.897 * * [simplify]: iters left: 5 (69 enodes) 43.909 * * [simplify]: iters left: 4 (113 enodes) 43.939 * * [simplify]: iters left: 3 (191 enodes) 43.996 * * [simplify]: iters left: 2 (381 enodes) 44.097 * * [simplify]: Extracting #0: cost 1 inf + 0 44.097 * * [simplify]: Extracting #1: cost 36 inf + 0 44.098 * * [simplify]: Extracting #2: cost 108 inf + 1 44.098 * * [simplify]: Extracting #3: cost 166 inf + 2 44.099 * * [simplify]: Extracting #4: cost 168 inf + 639 44.101 * * [simplify]: Extracting #5: cost 117 inf + 7263 44.106 * * [simplify]: Extracting #6: cost 47 inf + 36706 44.117 * * [simplify]: Extracting #7: cost 3 inf + 72435 44.135 * * [simplify]: Extracting #8: cost 0 inf + 75548 44.156 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 44.156 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 44.157 * * * * [progress]: [ 153 / 197 ] simplifiying candidate # 44.157 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 44.157 * * [simplify]: iters left: 6 (15 enodes) 44.162 * * [simplify]: iters left: 5 (66 enodes) 44.174 * * [simplify]: iters left: 4 (112 enodes) 44.206 * * [simplify]: iters left: 3 (196 enodes) 44.288 * * [simplify]: iters left: 2 (392 enodes) 44.465 * * [simplify]: Extracting #0: cost 1 inf + 0 44.465 * * [simplify]: Extracting #1: cost 39 inf + 0 44.466 * * [simplify]: Extracting #2: cost 125 inf + 1 44.467 * * [simplify]: Extracting #3: cost 179 inf + 3 44.469 * * [simplify]: Extracting #4: cost 182 inf + 432 44.472 * * [simplify]: Extracting #5: cost 135 inf + 7467 44.485 * * [simplify]: Extracting #6: cost 58 inf + 40786 44.511 * * [simplify]: Extracting #7: cost 2 inf + 84070 44.541 * * [simplify]: Extracting #8: cost 0 inf + 84912 44.569 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 44.569 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))))) 44.570 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 44.570 * * [simplify]: iters left: 6 (15 enodes) 44.579 * * [simplify]: iters left: 5 (66 enodes) 44.601 * * [simplify]: iters left: 4 (112 enodes) 44.638 * * [simplify]: iters left: 3 (196 enodes) 44.713 * * [simplify]: iters left: 2 (392 enodes) 44.867 * * [simplify]: Extracting #0: cost 1 inf + 0 44.867 * * [simplify]: Extracting #1: cost 39 inf + 0 44.867 * * [simplify]: Extracting #2: cost 125 inf + 1 44.868 * * [simplify]: Extracting #3: cost 179 inf + 3 44.869 * * [simplify]: Extracting #4: cost 182 inf + 432 44.871 * * [simplify]: Extracting #5: cost 135 inf + 7467 44.880 * * [simplify]: Extracting #6: cost 58 inf + 40786 44.898 * * [simplify]: Extracting #7: cost 2 inf + 84070 44.912 * * [simplify]: Extracting #8: cost 0 inf + 84912 44.930 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 44.930 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 44.930 * * * * [progress]: [ 154 / 197 ] simplifiying candidate # 44.931 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 44.931 * * [simplify]: iters left: 6 (15 enodes) 44.935 * * [simplify]: iters left: 5 (66 enodes) 44.952 * * [simplify]: iters left: 4 (112 enodes) 44.992 * * [simplify]: iters left: 3 (196 enodes) 45.053 * * [simplify]: iters left: 2 (392 enodes) 45.211 * * [simplify]: Extracting #0: cost 1 inf + 0 45.211 * * [simplify]: Extracting #1: cost 39 inf + 0 45.211 * * [simplify]: Extracting #2: cost 125 inf + 1 45.212 * * [simplify]: Extracting #3: cost 179 inf + 3 45.213 * * [simplify]: Extracting #4: cost 182 inf + 432 45.214 * * [simplify]: Extracting #5: cost 135 inf + 7467 45.220 * * [simplify]: Extracting #6: cost 58 inf + 40786 45.233 * * [simplify]: Extracting #7: cost 2 inf + 84070 45.261 * * [simplify]: Extracting #8: cost 0 inf + 84912 45.287 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 45.288 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))))) 45.288 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 45.288 * * [simplify]: iters left: 6 (15 enodes) 45.296 * * [simplify]: iters left: 5 (66 enodes) 45.318 * * [simplify]: iters left: 4 (112 enodes) 45.359 * * [simplify]: iters left: 3 (196 enodes) 45.442 * * [simplify]: iters left: 2 (392 enodes) 45.562 * * [simplify]: Extracting #0: cost 1 inf + 0 45.563 * * [simplify]: Extracting #1: cost 39 inf + 0 45.563 * * [simplify]: Extracting #2: cost 125 inf + 1 45.564 * * [simplify]: Extracting #3: cost 179 inf + 3 45.564 * * [simplify]: Extracting #4: cost 182 inf + 432 45.566 * * [simplify]: Extracting #5: cost 135 inf + 7467 45.572 * * [simplify]: Extracting #6: cost 58 inf + 40786 45.585 * * [simplify]: Extracting #7: cost 2 inf + 84070 45.599 * * [simplify]: Extracting #8: cost 0 inf + 84912 45.619 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 45.619 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 45.619 * * * * [progress]: [ 155 / 197 ] simplifiying candidate # 45.620 * [simplify]: Simplifying (cbrt (/ 1 (sqrt k))) 45.620 * * [simplify]: iters left: 4 (5 enodes) 45.623 * * [simplify]: iters left: 3 (17 enodes) 45.628 * * [simplify]: iters left: 2 (19 enodes) 45.633 * * [simplify]: Extracting #0: cost 1 inf + 0 45.633 * * [simplify]: Extracting #1: cost 3 inf + 0 45.633 * * [simplify]: Extracting #2: cost 6 inf + 0 45.633 * * [simplify]: Extracting #3: cost 7 inf + 1 45.634 * * [simplify]: Extracting #4: cost 0 inf + 572 45.634 * [simplify]: Simplified to (cbrt (/ 1 (sqrt k))) 45.634 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) (cbrt (/ 1 (sqrt k))))) 45.634 * * * * [progress]: [ 156 / 197 ] simplifiying candidate # 45.634 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 45.634 * * [simplify]: iters left: 4 (5 enodes) 45.637 * * [simplify]: iters left: 3 (17 enodes) 45.642 * * [simplify]: iters left: 2 (19 enodes) 45.650 * * [simplify]: Extracting #0: cost 1 inf + 0 45.650 * * [simplify]: Extracting #1: cost 3 inf + 0 45.651 * * [simplify]: Extracting #2: cost 6 inf + 0 45.651 * * [simplify]: Extracting #3: cost 7 inf + 1 45.651 * * [simplify]: Extracting #4: cost 0 inf + 492 45.651 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 45.651 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (/ 1 (sqrt k)))) (sqrt (/ 1 (sqrt k))))) 45.651 * * * * [progress]: [ 157 / 197 ] simplifiying candidate # 45.651 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 45.651 * * [simplify]: iters left: 4 (6 enodes) 45.654 * * [simplify]: iters left: 3 (20 enodes) 45.657 * * [simplify]: iters left: 2 (22 enodes) 45.660 * * [simplify]: Extracting #0: cost 1 inf + 0 45.660 * * [simplify]: Extracting #1: cost 4 inf + 0 45.660 * * [simplify]: Extracting #2: cost 5 inf + 1 45.660 * * [simplify]: Extracting #3: cost 7 inf + 1 45.660 * * [simplify]: Extracting #4: cost 1 inf + 488 45.660 * * [simplify]: Extracting #5: cost 0 inf + 650 45.660 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 45.660 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k))))) 45.660 * * * * [progress]: [ 158 / 197 ] simplifiying candidate # 45.660 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 45.660 * * [simplify]: iters left: 4 (6 enodes) 45.662 * * [simplify]: iters left: 3 (20 enodes) 45.665 * * [simplify]: iters left: 2 (22 enodes) 45.668 * * [simplify]: Extracting #0: cost 1 inf + 0 45.668 * * [simplify]: Extracting #1: cost 4 inf + 0 45.668 * * [simplify]: Extracting #2: cost 5 inf + 1 45.668 * * [simplify]: Extracting #3: cost 7 inf + 1 45.668 * * [simplify]: Extracting #4: cost 1 inf + 568 45.668 * * [simplify]: Extracting #5: cost 0 inf + 730 45.669 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 45.669 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k))))) 45.669 * * * * [progress]: [ 159 / 197 ] simplifiying candidate # 45.669 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 45.669 * * [simplify]: iters left: 4 (6 enodes) 45.671 * * [simplify]: iters left: 3 (20 enodes) 45.674 * * [simplify]: iters left: 2 (22 enodes) 45.677 * * [simplify]: Extracting #0: cost 1 inf + 0 45.677 * * [simplify]: Extracting #1: cost 4 inf + 0 45.677 * * [simplify]: Extracting #2: cost 5 inf + 1 45.677 * * [simplify]: Extracting #3: cost 7 inf + 1 45.677 * * [simplify]: Extracting #4: cost 1 inf + 368 45.677 * * [simplify]: Extracting #5: cost 0 inf + 490 45.677 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 45.677 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 45.677 * * * * [progress]: [ 160 / 197 ] simplifiying candidate # 45.677 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 45.677 * * [simplify]: iters left: 3 (5 enodes) 45.680 * * [simplify]: iters left: 2 (17 enodes) 45.682 * * [simplify]: iters left: 1 (19 enodes) 45.687 * * [simplify]: Extracting #0: cost 1 inf + 0 45.687 * * [simplify]: Extracting #1: cost 4 inf + 0 45.687 * * [simplify]: Extracting #2: cost 5 inf + 1 45.687 * * [simplify]: Extracting #3: cost 0 inf + 248 45.687 * [simplify]: Simplified to (/ 1 (sqrt k)) 45.687 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))) (/ 1 (sqrt k)))) 45.687 * * * * [progress]: [ 161 / 197 ] simplifiying candidate # 45.688 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 45.688 * * [simplify]: iters left: 4 (6 enodes) 45.691 * * [simplify]: iters left: 3 (20 enodes) 45.696 * * [simplify]: iters left: 2 (22 enodes) 45.700 * * [simplify]: Extracting #0: cost 1 inf + 0 45.701 * * [simplify]: Extracting #1: cost 4 inf + 0 45.701 * * [simplify]: Extracting #2: cost 5 inf + 1 45.701 * * [simplify]: Extracting #3: cost 7 inf + 1 45.701 * * [simplify]: Extracting #4: cost 1 inf + 368 45.701 * * [simplify]: Extracting #5: cost 0 inf + 490 45.701 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 45.701 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 45.701 * * * * [progress]: [ 162 / 197 ] simplifiying candidate # 45.701 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 45.701 * * [simplify]: iters left: 3 (5 enodes) 45.704 * * [simplify]: iters left: 2 (17 enodes) 45.707 * * [simplify]: iters left: 1 (19 enodes) 45.709 * * [simplify]: Extracting #0: cost 1 inf + 0 45.710 * * [simplify]: Extracting #1: cost 4 inf + 0 45.710 * * [simplify]: Extracting #2: cost 5 inf + 1 45.710 * * [simplify]: Extracting #3: cost 0 inf + 248 45.710 * [simplify]: Simplified to (/ 1 (sqrt k)) 45.710 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ 1 (sqrt k)))) 45.710 * * * * [progress]: [ 163 / 197 ] simplifiying candidate # 45.710 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 45.710 * * [simplify]: iters left: 4 (6 enodes) 45.712 * * [simplify]: iters left: 3 (20 enodes) 45.715 * * [simplify]: iters left: 2 (22 enodes) 45.718 * * [simplify]: Extracting #0: cost 1 inf + 0 45.718 * * [simplify]: Extracting #1: cost 4 inf + 0 45.718 * * [simplify]: Extracting #2: cost 5 inf + 1 45.718 * * [simplify]: Extracting #3: cost 7 inf + 1 45.718 * * [simplify]: Extracting #4: cost 1 inf + 488 45.718 * * [simplify]: Extracting #5: cost 0 inf + 650 45.718 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 45.718 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k))))) 45.718 * * * * [progress]: [ 164 / 197 ] simplifiying candidate # 45.719 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 45.719 * * [simplify]: iters left: 4 (6 enodes) 45.720 * * [simplify]: iters left: 3 (20 enodes) 45.723 * * [simplify]: iters left: 2 (22 enodes) 45.726 * * [simplify]: Extracting #0: cost 1 inf + 0 45.726 * * [simplify]: Extracting #1: cost 4 inf + 0 45.727 * * [simplify]: Extracting #2: cost 5 inf + 1 45.727 * * [simplify]: Extracting #3: cost 7 inf + 1 45.727 * * [simplify]: Extracting #4: cost 1 inf + 568 45.727 * * [simplify]: Extracting #5: cost 0 inf + 730 45.727 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 45.727 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k))))) 45.727 * * * * [progress]: [ 165 / 197 ] simplifiying candidate # 45.728 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 45.728 * * [simplify]: iters left: 4 (6 enodes) 45.731 * * [simplify]: iters left: 3 (20 enodes) 45.737 * * [simplify]: iters left: 2 (22 enodes) 45.745 * * [simplify]: Extracting #0: cost 1 inf + 0 45.746 * * [simplify]: Extracting #1: cost 4 inf + 0 45.746 * * [simplify]: Extracting #2: cost 5 inf + 1 45.746 * * [simplify]: Extracting #3: cost 7 inf + 1 45.746 * * [simplify]: Extracting #4: cost 1 inf + 368 45.746 * * [simplify]: Extracting #5: cost 0 inf + 490 45.746 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 45.746 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 45.746 * * * * [progress]: [ 166 / 197 ] simplifiying candidate # 45.747 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 45.747 * * [simplify]: iters left: 3 (5 enodes) 45.751 * * [simplify]: iters left: 2 (17 enodes) 45.756 * * [simplify]: iters left: 1 (19 enodes) 45.762 * * [simplify]: Extracting #0: cost 1 inf + 0 45.762 * * [simplify]: Extracting #1: cost 4 inf + 0 45.762 * * [simplify]: Extracting #2: cost 5 inf + 1 45.762 * * [simplify]: Extracting #3: cost 0 inf + 248 45.762 * [simplify]: Simplified to (/ 1 (sqrt k)) 45.762 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt 1))) (/ 1 (sqrt k)))) 45.762 * * * * [progress]: [ 167 / 197 ] simplifiying candidate # 45.763 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 45.763 * * [simplify]: iters left: 4 (6 enodes) 45.766 * * [simplify]: iters left: 3 (20 enodes) 45.772 * * [simplify]: iters left: 2 (22 enodes) 45.778 * * [simplify]: Extracting #0: cost 1 inf + 0 45.778 * * [simplify]: Extracting #1: cost 4 inf + 0 45.778 * * [simplify]: Extracting #2: cost 5 inf + 1 45.778 * * [simplify]: Extracting #3: cost 7 inf + 1 45.778 * * [simplify]: Extracting #4: cost 1 inf + 368 45.778 * * [simplify]: Extracting #5: cost 0 inf + 490 45.779 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 45.779 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 45.779 * * * * [progress]: [ 168 / 197 ] simplifiying candidate # 45.779 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 45.779 * * [simplify]: iters left: 3 (5 enodes) 45.783 * * [simplify]: iters left: 2 (17 enodes) 45.788 * * [simplify]: iters left: 1 (19 enodes) 45.793 * * [simplify]: Extracting #0: cost 1 inf + 0 45.793 * * [simplify]: Extracting #1: cost 4 inf + 0 45.793 * * [simplify]: Extracting #2: cost 5 inf + 1 45.794 * * [simplify]: Extracting #3: cost 0 inf + 248 45.794 * [simplify]: Simplified to (/ 1 (sqrt k)) 45.794 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) 1)) (/ 1 (sqrt k)))) 45.794 * * * * [progress]: [ 169 / 197 ] simplifiying candidate # 45.794 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 45.794 * * [simplify]: iters left: 4 (5 enodes) 45.797 * * [simplify]: iters left: 3 (17 enodes) 45.802 * * [simplify]: iters left: 2 (19 enodes) 45.807 * * [simplify]: Extracting #0: cost 1 inf + 0 45.807 * * [simplify]: Extracting #1: cost 4 inf + 0 45.807 * * [simplify]: Extracting #2: cost 5 inf + 1 45.807 * * [simplify]: Extracting #3: cost 7 inf + 1 45.808 * * [simplify]: Extracting #4: cost 0 inf + 650 45.808 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 45.808 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k))))) 45.808 * * * * [progress]: [ 170 / 197 ] simplifiying candidate # 45.808 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 45.808 * * [simplify]: iters left: 4 (5 enodes) 45.811 * * [simplify]: iters left: 3 (17 enodes) 45.816 * * [simplify]: iters left: 2 (19 enodes) 45.821 * * [simplify]: Extracting #0: cost 1 inf + 0 45.821 * * [simplify]: Extracting #1: cost 4 inf + 0 45.821 * * [simplify]: Extracting #2: cost 5 inf + 1 45.822 * * [simplify]: Extracting #3: cost 7 inf + 1 45.822 * * [simplify]: Extracting #4: cost 0 inf + 730 45.822 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 45.822 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k))))) 45.822 * * * * [progress]: [ 171 / 197 ] simplifiying candidate # 45.823 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 45.823 * * [simplify]: iters left: 4 (5 enodes) 45.825 * * [simplify]: iters left: 3 (17 enodes) 45.830 * * [simplify]: iters left: 2 (19 enodes) 45.836 * * [simplify]: Extracting #0: cost 1 inf + 0 45.836 * * [simplify]: Extracting #1: cost 4 inf + 0 45.836 * * [simplify]: Extracting #2: cost 5 inf + 1 45.836 * * [simplify]: Extracting #3: cost 7 inf + 1 45.836 * * [simplify]: Extracting #4: cost 0 inf + 490 45.836 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 45.836 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 45.836 * * * * [progress]: [ 172 / 197 ] simplifiying candidate # 45.837 * [simplify]: Simplifying (/ 1 (sqrt k)) 45.837 * * [simplify]: iters left: 3 (4 enodes) 45.839 * * [simplify]: iters left: 2 (14 enodes) 45.844 * * [simplify]: iters left: 1 (16 enodes) 45.850 * * [simplify]: Extracting #0: cost 1 inf + 0 45.850 * * [simplify]: Extracting #1: cost 4 inf + 0 45.850 * * [simplify]: Extracting #2: cost 5 inf + 1 45.850 * * [simplify]: Extracting #3: cost 3 inf + 43 45.850 * * [simplify]: Extracting #4: cost 1 inf + 166 45.850 * * [simplify]: Extracting #5: cost 0 inf + 248 45.850 * [simplify]: Simplified to (/ 1 (sqrt k)) 45.850 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt 1))) (/ 1 (sqrt k)))) 45.850 * * * * [progress]: [ 173 / 197 ] simplifiying candidate # 45.851 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 45.851 * * [simplify]: iters left: 4 (5 enodes) 45.854 * * [simplify]: iters left: 3 (17 enodes) 45.860 * * [simplify]: iters left: 2 (19 enodes) 45.866 * * [simplify]: Extracting #0: cost 1 inf + 0 45.866 * * [simplify]: Extracting #1: cost 4 inf + 0 45.866 * * [simplify]: Extracting #2: cost 5 inf + 1 45.866 * * [simplify]: Extracting #3: cost 7 inf + 1 45.866 * * [simplify]: Extracting #4: cost 0 inf + 490 45.866 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 45.866 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 45.867 * * * * [progress]: [ 174 / 197 ] simplifiying candidate # 45.867 * [simplify]: Simplifying (/ 1 (sqrt k)) 45.867 * * [simplify]: iters left: 3 (4 enodes) 45.869 * * [simplify]: iters left: 2 (14 enodes) 45.874 * * [simplify]: iters left: 1 (16 enodes) 45.879 * * [simplify]: Extracting #0: cost 1 inf + 0 45.879 * * [simplify]: Extracting #1: cost 4 inf + 0 45.879 * * [simplify]: Extracting #2: cost 5 inf + 1 45.879 * * [simplify]: Extracting #3: cost 3 inf + 43 45.879 * * [simplify]: Extracting #4: cost 1 inf + 166 45.879 * * [simplify]: Extracting #5: cost 0 inf + 248 45.879 * [simplify]: Simplified to (/ 1 (sqrt k)) 45.879 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 1)) (/ 1 (sqrt k)))) 45.879 * * * * [progress]: [ 175 / 197 ] simplifiying candidate # 45.880 * [simplify]: Simplifying (/ 1 (sqrt k)) 45.880 * * [simplify]: iters left: 3 (4 enodes) 45.882 * * [simplify]: iters left: 2 (14 enodes) 45.887 * * [simplify]: iters left: 1 (16 enodes) 45.892 * * [simplify]: Extracting #0: cost 1 inf + 0 45.892 * * [simplify]: Extracting #1: cost 4 inf + 0 45.892 * * [simplify]: Extracting #2: cost 5 inf + 1 45.892 * * [simplify]: Extracting #3: cost 3 inf + 43 45.892 * * [simplify]: Extracting #4: cost 1 inf + 166 45.892 * * [simplify]: Extracting #5: cost 0 inf + 248 45.893 * [simplify]: Simplified to (/ 1 (sqrt k)) 45.893 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (/ 1 (sqrt k)))) 45.893 * * * * [progress]: [ 176 / 197 ] simplifiying candidate # 45.893 * [simplify]: Simplifying (/ 1 (sqrt k)) 45.893 * * [simplify]: iters left: 3 (4 enodes) 45.896 * * [simplify]: iters left: 2 (14 enodes) 45.900 * * [simplify]: iters left: 1 (16 enodes) 45.908 * * [simplify]: Extracting #0: cost 1 inf + 0 45.908 * * [simplify]: Extracting #1: cost 4 inf + 0 45.908 * * [simplify]: Extracting #2: cost 5 inf + 1 45.908 * * [simplify]: Extracting #3: cost 3 inf + 43 45.908 * * [simplify]: Extracting #4: cost 1 inf + 166 45.908 * * [simplify]: Extracting #5: cost 0 inf + 248 45.908 * [simplify]: Simplified to (/ 1 (sqrt k)) 45.909 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (/ 1 (sqrt k)))) 45.909 * * * * [progress]: [ 177 / 197 ] simplifiying candidate # 45.909 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 45.909 * * [simplify]: iters left: 5 (7 enodes) 45.914 * * [simplify]: iters left: 4 (32 enodes) 45.925 * * [simplify]: iters left: 3 (57 enodes) 45.934 * * [simplify]: iters left: 2 (88 enodes) 45.953 * * [simplify]: iters left: 1 (156 enodes) 46.014 * * [simplify]: Extracting #0: cost 1 inf + 0 46.014 * * [simplify]: Extracting #1: cost 13 inf + 0 46.014 * * [simplify]: Extracting #2: cost 49 inf + 2 46.015 * * [simplify]: Extracting #3: cost 80 inf + 6 46.015 * * [simplify]: Extracting #4: cost 58 inf + 1840 46.018 * * [simplify]: Extracting #5: cost 22 inf + 9206 46.023 * * [simplify]: Extracting #6: cost 1 inf + 20886 46.032 * * [simplify]: Extracting #7: cost 0 inf + 21301 46.036 * * [simplify]: Extracting #8: cost 0 inf + 21130 46.039 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 46.039 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ 1 (sqrt k))))) 46.039 * * * * [progress]: [ 178 / 197 ] simplifiying candidate # 46.040 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 46.040 * * [simplify]: iters left: 6 (12 enodes) 46.044 * * [simplify]: iters left: 5 (51 enodes) 46.053 * * [simplify]: iters left: 4 (84 enodes) 46.067 * * [simplify]: iters left: 3 (125 enodes) 46.107 * * [simplify]: iters left: 2 (198 enodes) 46.169 * * [simplify]: iters left: 1 (353 enodes) 46.291 * * [simplify]: Extracting #0: cost 1 inf + 0 46.291 * * [simplify]: Extracting #1: cost 3 inf + 0 46.291 * * [simplify]: Extracting #2: cost 5 inf + 0 46.291 * * [simplify]: Extracting #3: cost 28 inf + 0 46.292 * * [simplify]: Extracting #4: cost 101 inf + 1 46.292 * * [simplify]: Extracting #5: cost 136 inf + 176 46.293 * * [simplify]: Extracting #6: cost 126 inf + 1348 46.295 * * [simplify]: Extracting #7: cost 70 inf + 12457 46.304 * * [simplify]: Extracting #8: cost 19 inf + 42176 46.314 * * [simplify]: Extracting #9: cost 0 inf + 57297 46.328 * * [simplify]: Extracting #10: cost 0 inf + 56855 46.348 * * [simplify]: Extracting #11: cost 0 inf + 56816 46.367 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 46.367 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt k))))) 46.367 * * * * [progress]: [ 179 / 197 ] simplifiying candidate # 46.368 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 46.368 * * [simplify]: iters left: 6 (11 enodes) 46.374 * * [simplify]: iters left: 5 (48 enodes) 46.384 * * [simplify]: iters left: 4 (78 enodes) 46.397 * * [simplify]: iters left: 3 (120 enodes) 46.429 * * [simplify]: iters left: 2 (211 enodes) 46.505 * * [simplify]: iters left: 1 (380 enodes) 46.640 * * [simplify]: Extracting #0: cost 1 inf + 0 46.640 * * [simplify]: Extracting #1: cost 4 inf + 0 46.640 * * [simplify]: Extracting #2: cost 29 inf + 0 46.641 * * [simplify]: Extracting #3: cost 113 inf + 1 46.642 * * [simplify]: Extracting #4: cost 155 inf + 220 46.643 * * [simplify]: Extracting #5: cost 153 inf + 561 46.645 * * [simplify]: Extracting #6: cost 121 inf + 2833 46.651 * * [simplify]: Extracting #7: cost 68 inf + 14038 46.666 * * [simplify]: Extracting #8: cost 15 inf + 50044 46.686 * * [simplify]: Extracting #9: cost 0 inf + 59395 46.703 * * [simplify]: Extracting #10: cost 0 inf + 59194 46.713 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 46.713 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt k))))) 46.713 * * * * [progress]: [ 180 / 197 ] simplifiying candidate # 46.713 * * * * [progress]: [ 181 / 197 ] simplifiying candidate # 46.714 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 46.714 * * [simplify]: iters left: 6 (11 enodes) 46.718 * * [simplify]: iters left: 5 (51 enodes) 46.726 * * [simplify]: iters left: 4 (87 enodes) 46.752 * * [simplify]: iters left: 3 (143 enodes) 46.782 * * [simplify]: iters left: 2 (259 enodes) 46.853 * * [simplify]: iters left: 1 (469 enodes) 47.044 * * [simplify]: Extracting #0: cost 1 inf + 0 47.044 * * [simplify]: Extracting #1: cost 24 inf + 0 47.044 * * [simplify]: Extracting #2: cost 110 inf + 1 47.045 * * [simplify]: Extracting #3: cost 192 inf + 178 47.046 * * [simplify]: Extracting #4: cost 178 inf + 1845 47.049 * * [simplify]: Extracting #5: cost 89 inf + 12477 47.055 * * [simplify]: Extracting #6: cost 41 inf + 28219 47.066 * * [simplify]: Extracting #7: cost 4 inf + 58625 47.087 * * [simplify]: Extracting #8: cost 0 inf + 62670 47.111 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 47.111 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt k))))) 47.111 * * * * [progress]: [ 182 / 197 ] simplifiying candidate # 47.112 * [simplify]: Simplifying (sqrt k) 47.112 * * [simplify]: iters left: 1 (2 enodes) 47.113 * * [simplify]: Extracting #0: cost 1 inf + 0 47.113 * * [simplify]: Extracting #1: cost 3 inf + 0 47.113 * * [simplify]: Extracting #2: cost 2 inf + 1 47.113 * * [simplify]: Extracting #3: cost 0 inf + 83 47.113 * [simplify]: Simplified to (sqrt k) 47.113 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k))) 47.113 * * * * [progress]: [ 183 / 197 ] simplifiying candidate # 47.113 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) (/ 1 (sqrt k))) 47.114 * * [simplify]: iters left: 6 (12 enodes) 47.122 * * [simplify]: iters left: 5 (50 enodes) 47.141 * * [simplify]: iters left: 4 (88 enodes) 47.179 * * [simplify]: iters left: 3 (169 enodes) 47.240 * * [simplify]: iters left: 2 (291 enodes) 47.381 * * [simplify]: Extracting #0: cost 1 inf + 0 47.381 * * [simplify]: Extracting #1: cost 31 inf + 0 47.382 * * [simplify]: Extracting #2: cost 95 inf + 1 47.382 * * [simplify]: Extracting #3: cost 95 inf + 50 47.383 * * [simplify]: Extracting #4: cost 85 inf + 844 47.385 * * [simplify]: Extracting #5: cost 34 inf + 22508 47.391 * * [simplify]: Extracting #6: cost 0 inf + 45097 47.397 * * [simplify]: Extracting #7: cost 0 inf + 44362 47.404 * [simplify]: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt k)) 47.404 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (sqrt k)) (pow (* n (* 2 PI)) (/ k 2)))) 47.404 * * * * [progress]: [ 184 / 197 ] simplifiying candidate #real (real->posit16 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))> 47.404 * * * * [progress]: [ 185 / 197 ] simplifiying candidate # 47.404 * * * * [progress]: [ 186 / 197 ] simplifiying candidate # 47.404 * [simplify]: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 47.404 * * [simplify]: iters left: 6 (37 enodes) 47.415 * * [simplify]: iters left: 5 (190 enodes) 47.488 * * [simplify]: Extracting #0: cost 1 inf + 0 47.488 * * [simplify]: Extracting #1: cost 22 inf + 0 47.488 * * [simplify]: Extracting #2: cost 108 inf + 1 47.489 * * [simplify]: Extracting #3: cost 171 inf + 46 47.491 * * [simplify]: Extracting #4: cost 189 inf + 427 47.495 * * [simplify]: Extracting #5: cost 128 inf + 16032 47.512 * * [simplify]: Extracting #6: cost 29 inf + 57153 47.540 * * [simplify]: Extracting #7: cost 4 inf + 75884 47.567 * * [simplify]: Extracting #8: cost 0 inf + 78767 47.586 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) 47.586 * [simplify]: Simplified (2 1) to (λ (k n) (* (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) (/ 1 (sqrt k)))) 47.586 * * * * [progress]: [ 187 / 197 ] simplifiying candidate # 47.586 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 47.586 * * [simplify]: iters left: 6 (15 enodes) 47.591 * * [simplify]: iters left: 5 (65 enodes) 47.602 * * [simplify]: iters left: 4 (123 enodes) 47.658 * * [simplify]: iters left: 3 (367 enodes) 47.864 * * [simplify]: Extracting #0: cost 1 inf + 0 47.864 * * [simplify]: Extracting #1: cost 37 inf + 0 47.865 * * [simplify]: Extracting #2: cost 216 inf + 72 47.868 * * [simplify]: Extracting #3: cost 356 inf + 1622 47.877 * * [simplify]: Extracting #4: cost 219 inf + 28945 47.903 * * [simplify]: Extracting #5: cost 21 inf + 83197 47.940 * * [simplify]: Extracting #6: cost 0 inf + 89881 47.972 * * [simplify]: Extracting #7: cost 0 inf + 89729 48.004 * * [simplify]: Extracting #8: cost 0 inf + 89726 48.037 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 48.037 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (/ 1 (sqrt k)))) 48.037 * * * * [progress]: [ 188 / 197 ] simplifiying candidate # 48.038 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 48.038 * * [simplify]: iters left: 6 (16 enodes) 48.048 * * [simplify]: iters left: 5 (67 enodes) 48.063 * * [simplify]: iters left: 4 (134 enodes) 48.102 * * [simplify]: iters left: 3 (413 enodes) 48.291 * * [simplify]: Extracting #0: cost 1 inf + 0 48.291 * * [simplify]: Extracting #1: cost 39 inf + 0 48.292 * * [simplify]: Extracting #2: cost 241 inf + 72 48.293 * * [simplify]: Extracting #3: cost 450 inf + 903 48.298 * * [simplify]: Extracting #4: cost 376 inf + 10375 48.317 * * [simplify]: Extracting #5: cost 158 inf + 67083 48.353 * * [simplify]: Extracting #6: cost 12 inf + 118840 48.380 * * [simplify]: Extracting #7: cost 0 inf + 121984 48.407 * * [simplify]: Extracting #8: cost 0 inf + 121983 48.453 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 48.453 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (/ 1 (sqrt k)))) 48.453 * * * * [progress]: [ 189 / 197 ] simplifiying candidate # 48.454 * [simplify]: Simplifying (* 2 (* n PI)) 48.454 * * [simplify]: iters left: 4 (5 enodes) 48.457 * * [simplify]: iters left: 3 (19 enodes) 48.463 * * [simplify]: iters left: 2 (27 enodes) 48.471 * * [simplify]: iters left: 1 (32 enodes) 48.479 * * [simplify]: Extracting #0: cost 1 inf + 0 48.479 * * [simplify]: Extracting #1: cost 8 inf + 0 48.480 * * [simplify]: Extracting #2: cost 7 inf + 45 48.480 * * [simplify]: Extracting #3: cost 0 inf + 421 48.480 * [simplify]: Simplified to (* (* PI n) 2) 48.480 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 48.480 * * * * [progress]: [ 190 / 197 ] simplifiying candidate # 48.481 * [simplify]: Simplifying (* 2 (* n PI)) 48.481 * * [simplify]: iters left: 4 (5 enodes) 48.484 * * [simplify]: iters left: 3 (19 enodes) 48.489 * * [simplify]: iters left: 2 (27 enodes) 48.497 * * [simplify]: iters left: 1 (32 enodes) 48.505 * * [simplify]: Extracting #0: cost 1 inf + 0 48.505 * * [simplify]: Extracting #1: cost 8 inf + 0 48.505 * * [simplify]: Extracting #2: cost 7 inf + 45 48.506 * * [simplify]: Extracting #3: cost 0 inf + 421 48.506 * [simplify]: Simplified to (* (* PI n) 2) 48.506 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 48.506 * * * * [progress]: [ 191 / 197 ] simplifiying candidate # 48.507 * [simplify]: Simplifying (* 2 (* n PI)) 48.507 * * [simplify]: iters left: 4 (5 enodes) 48.510 * * [simplify]: iters left: 3 (19 enodes) 48.516 * * [simplify]: iters left: 2 (27 enodes) 48.524 * * [simplify]: iters left: 1 (32 enodes) 48.534 * * [simplify]: Extracting #0: cost 1 inf + 0 48.534 * * [simplify]: Extracting #1: cost 8 inf + 0 48.534 * * [simplify]: Extracting #2: cost 7 inf + 45 48.534 * * [simplify]: Extracting #3: cost 0 inf + 421 48.534 * [simplify]: Simplified to (* (* PI n) 2) 48.534 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 48.535 * * * * [progress]: [ 192 / 197 ] simplifiying candidate # 48.535 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 48.535 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 48.535 * * * * [progress]: [ 193 / 197 ] simplifiying candidate # 48.535 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 48.535 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 48.536 * * * * [progress]: [ 194 / 197 ] simplifiying candidate # 48.536 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 48.536 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 48.536 * * * * [progress]: [ 195 / 197 ] simplifiying candidate # 48.536 * [simplify]: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 48.536 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 48.537 * * * * [progress]: [ 196 / 197 ] simplifiying candidate # 48.537 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 48.537 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 48.538 * * * * [progress]: [ 197 / 197 ] simplifiying candidate # 48.538 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 48.538 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 48.538 * * * [progress]: adding candidates to table 50.568 * * [progress]: iteration 3 / 4 50.568 * * * [progress]: picking best candidate 50.596 * * * * [pick]: Picked # 50.596 * * * [progress]: localizing error 50.640 * * * [progress]: generating rewritten candidates 50.641 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 50.673 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 50.698 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 50.746 * * * [progress]: generating series expansions 50.746 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 50.747 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 50.747 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 50.747 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 50.747 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 50.747 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 50.747 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 50.747 * [taylor]: Taking taylor expansion of 1/2 in k 50.747 * [backup-simplify]: Simplify 1/2 into 1/2 50.747 * [taylor]: Taking taylor expansion of (- 1 k) in k 50.747 * [taylor]: Taking taylor expansion of 1 in k 50.747 * [backup-simplify]: Simplify 1 into 1 50.747 * [taylor]: Taking taylor expansion of k in k 50.747 * [backup-simplify]: Simplify 0 into 0 50.747 * [backup-simplify]: Simplify 1 into 1 50.747 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 50.747 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 50.747 * [taylor]: Taking taylor expansion of 2 in k 50.747 * [backup-simplify]: Simplify 2 into 2 50.747 * [taylor]: Taking taylor expansion of (* n PI) in k 50.747 * [taylor]: Taking taylor expansion of n in k 50.747 * [backup-simplify]: Simplify n into n 50.747 * [taylor]: Taking taylor expansion of PI in k 50.747 * [backup-simplify]: Simplify PI into PI 50.747 * [backup-simplify]: Simplify (* n PI) into (* n PI) 50.747 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 50.748 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 50.748 * [backup-simplify]: Simplify (- 0) into 0 50.748 * [backup-simplify]: Simplify (+ 1 0) into 1 50.749 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 50.749 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 50.749 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 50.749 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 50.749 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 50.749 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 50.749 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 50.749 * [taylor]: Taking taylor expansion of 1/2 in n 50.749 * [backup-simplify]: Simplify 1/2 into 1/2 50.749 * [taylor]: Taking taylor expansion of (- 1 k) in n 50.749 * [taylor]: Taking taylor expansion of 1 in n 50.749 * [backup-simplify]: Simplify 1 into 1 50.749 * [taylor]: Taking taylor expansion of k in n 50.749 * [backup-simplify]: Simplify k into k 50.749 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 50.749 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 50.749 * [taylor]: Taking taylor expansion of 2 in n 50.749 * [backup-simplify]: Simplify 2 into 2 50.749 * [taylor]: Taking taylor expansion of (* n PI) in n 50.750 * [taylor]: Taking taylor expansion of n in n 50.750 * [backup-simplify]: Simplify 0 into 0 50.750 * [backup-simplify]: Simplify 1 into 1 50.750 * [taylor]: Taking taylor expansion of PI in n 50.750 * [backup-simplify]: Simplify PI into PI 50.750 * [backup-simplify]: Simplify (* 0 PI) into 0 50.750 * [backup-simplify]: Simplify (* 2 0) into 0 50.752 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 50.753 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 50.754 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 50.754 * [backup-simplify]: Simplify (- k) into (- k) 50.755 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 50.755 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 50.756 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 50.757 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 50.758 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 50.758 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 50.758 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 50.758 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 50.758 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 50.758 * [taylor]: Taking taylor expansion of 1/2 in n 50.758 * [backup-simplify]: Simplify 1/2 into 1/2 50.758 * [taylor]: Taking taylor expansion of (- 1 k) in n 50.758 * [taylor]: Taking taylor expansion of 1 in n 50.758 * [backup-simplify]: Simplify 1 into 1 50.758 * [taylor]: Taking taylor expansion of k in n 50.758 * [backup-simplify]: Simplify k into k 50.758 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 50.758 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 50.758 * [taylor]: Taking taylor expansion of 2 in n 50.759 * [backup-simplify]: Simplify 2 into 2 50.759 * [taylor]: Taking taylor expansion of (* n PI) in n 50.759 * [taylor]: Taking taylor expansion of n in n 50.759 * [backup-simplify]: Simplify 0 into 0 50.759 * [backup-simplify]: Simplify 1 into 1 50.759 * [taylor]: Taking taylor expansion of PI in n 50.759 * [backup-simplify]: Simplify PI into PI 50.759 * [backup-simplify]: Simplify (* 0 PI) into 0 50.760 * [backup-simplify]: Simplify (* 2 0) into 0 50.761 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 50.763 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 50.764 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 50.764 * [backup-simplify]: Simplify (- k) into (- k) 50.764 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 50.764 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 50.765 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 50.766 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 50.767 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 50.768 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 50.768 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 50.768 * [taylor]: Taking taylor expansion of 1/2 in k 50.768 * [backup-simplify]: Simplify 1/2 into 1/2 50.768 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 50.768 * [taylor]: Taking taylor expansion of (- 1 k) in k 50.768 * [taylor]: Taking taylor expansion of 1 in k 50.768 * [backup-simplify]: Simplify 1 into 1 50.768 * [taylor]: Taking taylor expansion of k in k 50.768 * [backup-simplify]: Simplify 0 into 0 50.768 * [backup-simplify]: Simplify 1 into 1 50.768 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 50.768 * [taylor]: Taking taylor expansion of (log n) in k 50.768 * [taylor]: Taking taylor expansion of n in k 50.768 * [backup-simplify]: Simplify n into n 50.768 * [backup-simplify]: Simplify (log n) into (log n) 50.768 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 50.768 * [taylor]: Taking taylor expansion of (* 2 PI) in k 50.768 * [taylor]: Taking taylor expansion of 2 in k 50.768 * [backup-simplify]: Simplify 2 into 2 50.768 * [taylor]: Taking taylor expansion of PI in k 50.768 * [backup-simplify]: Simplify PI into PI 50.769 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 50.769 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 50.770 * [backup-simplify]: Simplify (- 0) into 0 50.770 * [backup-simplify]: Simplify (+ 1 0) into 1 50.772 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 50.774 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 50.775 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 50.776 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 50.777 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 50.778 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 50.779 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 50.781 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 50.781 * [backup-simplify]: Simplify (- 0) into 0 50.781 * [backup-simplify]: Simplify (+ 0 0) into 0 50.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 50.786 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 50.787 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 50.789 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 50.789 * [taylor]: Taking taylor expansion of 0 in k 50.789 * [backup-simplify]: Simplify 0 into 0 50.789 * [backup-simplify]: Simplify 0 into 0 50.790 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 50.791 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 50.793 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 50.793 * [backup-simplify]: Simplify (+ 0 0) into 0 50.793 * [backup-simplify]: Simplify (- 1) into -1 50.794 * [backup-simplify]: Simplify (+ 0 -1) into -1 50.795 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 50.797 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 50.801 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 50.803 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 50.805 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 50.806 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 50.809 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 50.809 * [backup-simplify]: Simplify (- 0) into 0 50.810 * [backup-simplify]: Simplify (+ 0 0) into 0 50.811 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 50.812 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 50.814 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 50.816 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.816 * [taylor]: Taking taylor expansion of 0 in k 50.816 * [backup-simplify]: Simplify 0 into 0 50.816 * [backup-simplify]: Simplify 0 into 0 50.816 * [backup-simplify]: Simplify 0 into 0 50.818 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 50.819 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 50.822 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 50.822 * [backup-simplify]: Simplify (+ 0 0) into 0 50.823 * [backup-simplify]: Simplify (- 0) into 0 50.823 * [backup-simplify]: Simplify (+ 0 0) into 0 50.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 50.828 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 50.831 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 50.834 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 50.840 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 50.840 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 50.840 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 50.840 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 50.840 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 50.840 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 50.840 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 50.840 * [taylor]: Taking taylor expansion of 1/2 in k 50.840 * [backup-simplify]: Simplify 1/2 into 1/2 50.840 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 50.840 * [taylor]: Taking taylor expansion of 1 in k 50.840 * [backup-simplify]: Simplify 1 into 1 50.840 * [taylor]: Taking taylor expansion of (/ 1 k) in k 50.840 * [taylor]: Taking taylor expansion of k in k 50.840 * [backup-simplify]: Simplify 0 into 0 50.840 * [backup-simplify]: Simplify 1 into 1 50.841 * [backup-simplify]: Simplify (/ 1 1) into 1 50.841 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 50.841 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 50.841 * [taylor]: Taking taylor expansion of 2 in k 50.841 * [backup-simplify]: Simplify 2 into 2 50.841 * [taylor]: Taking taylor expansion of (/ PI n) in k 50.841 * [taylor]: Taking taylor expansion of PI in k 50.841 * [backup-simplify]: Simplify PI into PI 50.841 * [taylor]: Taking taylor expansion of n in k 50.841 * [backup-simplify]: Simplify n into n 50.841 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 50.841 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 50.841 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 50.841 * [backup-simplify]: Simplify (- 1) into -1 50.841 * [backup-simplify]: Simplify (+ 0 -1) into -1 50.842 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 50.842 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 50.842 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 50.842 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 50.842 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 50.842 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 50.842 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 50.842 * [taylor]: Taking taylor expansion of 1/2 in n 50.842 * [backup-simplify]: Simplify 1/2 into 1/2 50.842 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 50.842 * [taylor]: Taking taylor expansion of 1 in n 50.842 * [backup-simplify]: Simplify 1 into 1 50.842 * [taylor]: Taking taylor expansion of (/ 1 k) in n 50.842 * [taylor]: Taking taylor expansion of k in n 50.842 * [backup-simplify]: Simplify k into k 50.842 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 50.842 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 50.842 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 50.842 * [taylor]: Taking taylor expansion of 2 in n 50.842 * [backup-simplify]: Simplify 2 into 2 50.842 * [taylor]: Taking taylor expansion of (/ PI n) in n 50.842 * [taylor]: Taking taylor expansion of PI in n 50.842 * [backup-simplify]: Simplify PI into PI 50.842 * [taylor]: Taking taylor expansion of n in n 50.842 * [backup-simplify]: Simplify 0 into 0 50.842 * [backup-simplify]: Simplify 1 into 1 50.843 * [backup-simplify]: Simplify (/ PI 1) into PI 50.843 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 50.843 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 50.843 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 50.844 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 50.844 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 50.844 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 50.845 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 50.846 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 50.846 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 50.846 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 50.846 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 50.846 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 50.846 * [taylor]: Taking taylor expansion of 1/2 in n 50.846 * [backup-simplify]: Simplify 1/2 into 1/2 50.846 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 50.846 * [taylor]: Taking taylor expansion of 1 in n 50.846 * [backup-simplify]: Simplify 1 into 1 50.846 * [taylor]: Taking taylor expansion of (/ 1 k) in n 50.846 * [taylor]: Taking taylor expansion of k in n 50.846 * [backup-simplify]: Simplify k into k 50.846 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 50.846 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 50.846 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 50.846 * [taylor]: Taking taylor expansion of 2 in n 50.846 * [backup-simplify]: Simplify 2 into 2 50.846 * [taylor]: Taking taylor expansion of (/ PI n) in n 50.846 * [taylor]: Taking taylor expansion of PI in n 50.846 * [backup-simplify]: Simplify PI into PI 50.846 * [taylor]: Taking taylor expansion of n in n 50.846 * [backup-simplify]: Simplify 0 into 0 50.846 * [backup-simplify]: Simplify 1 into 1 50.847 * [backup-simplify]: Simplify (/ PI 1) into PI 50.847 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 50.847 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 50.847 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 50.848 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 50.848 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 50.848 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 50.849 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 50.850 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 50.850 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 50.850 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 50.850 * [taylor]: Taking taylor expansion of 1/2 in k 50.850 * [backup-simplify]: Simplify 1/2 into 1/2 50.850 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 50.850 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 50.850 * [taylor]: Taking taylor expansion of 1 in k 50.850 * [backup-simplify]: Simplify 1 into 1 50.850 * [taylor]: Taking taylor expansion of (/ 1 k) in k 50.850 * [taylor]: Taking taylor expansion of k in k 50.850 * [backup-simplify]: Simplify 0 into 0 50.850 * [backup-simplify]: Simplify 1 into 1 50.850 * [backup-simplify]: Simplify (/ 1 1) into 1 50.850 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 50.850 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 50.850 * [taylor]: Taking taylor expansion of (* 2 PI) in k 50.850 * [taylor]: Taking taylor expansion of 2 in k 50.850 * [backup-simplify]: Simplify 2 into 2 50.850 * [taylor]: Taking taylor expansion of PI in k 50.850 * [backup-simplify]: Simplify PI into PI 50.851 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 50.851 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 50.851 * [taylor]: Taking taylor expansion of (log n) in k 50.851 * [taylor]: Taking taylor expansion of n in k 50.851 * [backup-simplify]: Simplify n into n 50.851 * [backup-simplify]: Simplify (log n) into (log n) 50.852 * [backup-simplify]: Simplify (- 1) into -1 50.852 * [backup-simplify]: Simplify (+ 0 -1) into -1 50.852 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 50.852 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 50.853 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 50.854 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 50.854 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 50.855 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 50.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 50.856 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 50.857 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 50.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 50.857 * [backup-simplify]: Simplify (- 0) into 0 50.858 * [backup-simplify]: Simplify (+ 0 0) into 0 50.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 50.859 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 50.860 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 50.861 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 50.861 * [taylor]: Taking taylor expansion of 0 in k 50.861 * [backup-simplify]: Simplify 0 into 0 50.861 * [backup-simplify]: Simplify 0 into 0 50.861 * [backup-simplify]: Simplify 0 into 0 50.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.862 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 50.864 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 50.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 50.864 * [backup-simplify]: Simplify (- 0) into 0 50.864 * [backup-simplify]: Simplify (+ 0 0) into 0 50.865 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 50.866 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 50.867 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 50.869 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.869 * [taylor]: Taking taylor expansion of 0 in k 50.869 * [backup-simplify]: Simplify 0 into 0 50.869 * [backup-simplify]: Simplify 0 into 0 50.869 * [backup-simplify]: Simplify 0 into 0 50.869 * [backup-simplify]: Simplify 0 into 0 50.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.872 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 50.877 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 50.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 50.878 * [backup-simplify]: Simplify (- 0) into 0 50.879 * [backup-simplify]: Simplify (+ 0 0) into 0 50.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 50.881 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 50.883 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 50.886 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 50.886 * [taylor]: Taking taylor expansion of 0 in k 50.886 * [backup-simplify]: Simplify 0 into 0 50.886 * [backup-simplify]: Simplify 0 into 0 50.887 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 50.888 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 50.888 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 50.888 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 50.888 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 50.888 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 50.888 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 50.888 * [taylor]: Taking taylor expansion of 1/2 in k 50.888 * [backup-simplify]: Simplify 1/2 into 1/2 50.888 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 50.888 * [taylor]: Taking taylor expansion of (/ 1 k) in k 50.888 * [taylor]: Taking taylor expansion of k in k 50.888 * [backup-simplify]: Simplify 0 into 0 50.888 * [backup-simplify]: Simplify 1 into 1 50.889 * [backup-simplify]: Simplify (/ 1 1) into 1 50.889 * [taylor]: Taking taylor expansion of 1 in k 50.889 * [backup-simplify]: Simplify 1 into 1 50.889 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 50.889 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 50.889 * [taylor]: Taking taylor expansion of -2 in k 50.889 * [backup-simplify]: Simplify -2 into -2 50.889 * [taylor]: Taking taylor expansion of (/ PI n) in k 50.889 * [taylor]: Taking taylor expansion of PI in k 50.889 * [backup-simplify]: Simplify PI into PI 50.889 * [taylor]: Taking taylor expansion of n in k 50.889 * [backup-simplify]: Simplify n into n 50.889 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 50.889 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 50.889 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 50.890 * [backup-simplify]: Simplify (+ 1 0) into 1 50.890 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 50.890 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 50.891 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 50.891 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 50.891 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 50.891 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 50.891 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 50.891 * [taylor]: Taking taylor expansion of 1/2 in n 50.891 * [backup-simplify]: Simplify 1/2 into 1/2 50.891 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 50.891 * [taylor]: Taking taylor expansion of (/ 1 k) in n 50.891 * [taylor]: Taking taylor expansion of k in n 50.891 * [backup-simplify]: Simplify k into k 50.891 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 50.891 * [taylor]: Taking taylor expansion of 1 in n 50.891 * [backup-simplify]: Simplify 1 into 1 50.891 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 50.891 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 50.891 * [taylor]: Taking taylor expansion of -2 in n 50.891 * [backup-simplify]: Simplify -2 into -2 50.891 * [taylor]: Taking taylor expansion of (/ PI n) in n 50.891 * [taylor]: Taking taylor expansion of PI in n 50.891 * [backup-simplify]: Simplify PI into PI 50.891 * [taylor]: Taking taylor expansion of n in n 50.891 * [backup-simplify]: Simplify 0 into 0 50.891 * [backup-simplify]: Simplify 1 into 1 50.892 * [backup-simplify]: Simplify (/ PI 1) into PI 50.892 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 50.893 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 50.894 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 50.894 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 50.895 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 50.896 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 50.897 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 50.897 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 50.897 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 50.897 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 50.898 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 50.898 * [taylor]: Taking taylor expansion of 1/2 in n 50.898 * [backup-simplify]: Simplify 1/2 into 1/2 50.898 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 50.898 * [taylor]: Taking taylor expansion of (/ 1 k) in n 50.898 * [taylor]: Taking taylor expansion of k in n 50.898 * [backup-simplify]: Simplify k into k 50.898 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 50.898 * [taylor]: Taking taylor expansion of 1 in n 50.898 * [backup-simplify]: Simplify 1 into 1 50.898 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 50.898 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 50.898 * [taylor]: Taking taylor expansion of -2 in n 50.898 * [backup-simplify]: Simplify -2 into -2 50.898 * [taylor]: Taking taylor expansion of (/ PI n) in n 50.898 * [taylor]: Taking taylor expansion of PI in n 50.898 * [backup-simplify]: Simplify PI into PI 50.898 * [taylor]: Taking taylor expansion of n in n 50.898 * [backup-simplify]: Simplify 0 into 0 50.898 * [backup-simplify]: Simplify 1 into 1 50.898 * [backup-simplify]: Simplify (/ PI 1) into PI 50.899 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 50.900 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 50.900 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 50.900 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 50.903 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 50.904 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 50.906 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 50.906 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 50.906 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 50.906 * [taylor]: Taking taylor expansion of 1/2 in k 50.906 * [backup-simplify]: Simplify 1/2 into 1/2 50.906 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 50.906 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 50.906 * [taylor]: Taking taylor expansion of (/ 1 k) in k 50.906 * [taylor]: Taking taylor expansion of k in k 50.906 * [backup-simplify]: Simplify 0 into 0 50.906 * [backup-simplify]: Simplify 1 into 1 50.906 * [backup-simplify]: Simplify (/ 1 1) into 1 50.906 * [taylor]: Taking taylor expansion of 1 in k 50.906 * [backup-simplify]: Simplify 1 into 1 50.906 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 50.906 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 50.906 * [taylor]: Taking taylor expansion of (* -2 PI) in k 50.906 * [taylor]: Taking taylor expansion of -2 in k 50.906 * [backup-simplify]: Simplify -2 into -2 50.906 * [taylor]: Taking taylor expansion of PI in k 50.906 * [backup-simplify]: Simplify PI into PI 50.907 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 50.908 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 50.908 * [taylor]: Taking taylor expansion of (log n) in k 50.908 * [taylor]: Taking taylor expansion of n in k 50.908 * [backup-simplify]: Simplify n into n 50.908 * [backup-simplify]: Simplify (log n) into (log n) 50.908 * [backup-simplify]: Simplify (+ 1 0) into 1 50.909 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 50.909 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 50.910 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 50.912 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 50.913 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 50.914 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 50.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 50.916 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 50.918 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 50.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 50.918 * [backup-simplify]: Simplify (+ 0 0) into 0 50.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 50.920 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 50.921 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 50.923 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 50.923 * [taylor]: Taking taylor expansion of 0 in k 50.923 * [backup-simplify]: Simplify 0 into 0 50.923 * [backup-simplify]: Simplify 0 into 0 50.923 * [backup-simplify]: Simplify 0 into 0 50.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.925 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 50.928 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 50.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 50.929 * [backup-simplify]: Simplify (+ 0 0) into 0 50.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 50.931 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 50.932 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 50.935 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.935 * [taylor]: Taking taylor expansion of 0 in k 50.935 * [backup-simplify]: Simplify 0 into 0 50.935 * [backup-simplify]: Simplify 0 into 0 50.935 * [backup-simplify]: Simplify 0 into 0 50.935 * [backup-simplify]: Simplify 0 into 0 50.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.938 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 50.943 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 50.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 50.943 * [backup-simplify]: Simplify (+ 0 0) into 0 50.945 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 50.946 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 50.948 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 50.951 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 50.951 * [taylor]: Taking taylor expansion of 0 in k 50.951 * [backup-simplify]: Simplify 0 into 0 50.951 * [backup-simplify]: Simplify 0 into 0 50.953 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 50.953 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 50.953 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 50.954 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 50.954 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 50.954 * [taylor]: Taking taylor expansion of 2 in n 50.954 * [backup-simplify]: Simplify 2 into 2 50.954 * [taylor]: Taking taylor expansion of (* n PI) in n 50.954 * [taylor]: Taking taylor expansion of n in n 50.954 * [backup-simplify]: Simplify 0 into 0 50.954 * [backup-simplify]: Simplify 1 into 1 50.954 * [taylor]: Taking taylor expansion of PI in n 50.954 * [backup-simplify]: Simplify PI into PI 50.954 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 50.954 * [taylor]: Taking taylor expansion of 2 in n 50.954 * [backup-simplify]: Simplify 2 into 2 50.954 * [taylor]: Taking taylor expansion of (* n PI) in n 50.954 * [taylor]: Taking taylor expansion of n in n 50.954 * [backup-simplify]: Simplify 0 into 0 50.954 * [backup-simplify]: Simplify 1 into 1 50.954 * [taylor]: Taking taylor expansion of PI in n 50.954 * [backup-simplify]: Simplify PI into PI 50.955 * [backup-simplify]: Simplify (* 0 PI) into 0 50.955 * [backup-simplify]: Simplify (* 2 0) into 0 50.955 * [backup-simplify]: Simplify 0 into 0 50.957 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 50.958 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 50.959 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 50.960 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 50.961 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 50.961 * [backup-simplify]: Simplify 0 into 0 50.962 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 50.964 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 50.964 * [backup-simplify]: Simplify 0 into 0 50.965 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 50.966 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 50.967 * [backup-simplify]: Simplify 0 into 0 50.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 50.969 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 50.970 * [backup-simplify]: Simplify 0 into 0 50.971 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 50.973 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 50.973 * [backup-simplify]: Simplify 0 into 0 50.975 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 50.977 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 50.977 * [backup-simplify]: Simplify 0 into 0 50.978 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 50.978 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 50.978 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 50.978 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 50.978 * [taylor]: Taking taylor expansion of 2 in n 50.978 * [backup-simplify]: Simplify 2 into 2 50.978 * [taylor]: Taking taylor expansion of (/ PI n) in n 50.978 * [taylor]: Taking taylor expansion of PI in n 50.978 * [backup-simplify]: Simplify PI into PI 50.978 * [taylor]: Taking taylor expansion of n in n 50.978 * [backup-simplify]: Simplify 0 into 0 50.978 * [backup-simplify]: Simplify 1 into 1 50.979 * [backup-simplify]: Simplify (/ PI 1) into PI 50.979 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 50.979 * [taylor]: Taking taylor expansion of 2 in n 50.979 * [backup-simplify]: Simplify 2 into 2 50.979 * [taylor]: Taking taylor expansion of (/ PI n) in n 50.979 * [taylor]: Taking taylor expansion of PI in n 50.979 * [backup-simplify]: Simplify PI into PI 50.979 * [taylor]: Taking taylor expansion of n in n 50.979 * [backup-simplify]: Simplify 0 into 0 50.979 * [backup-simplify]: Simplify 1 into 1 50.980 * [backup-simplify]: Simplify (/ PI 1) into PI 50.980 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 50.981 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 50.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 50.982 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 50.982 * [backup-simplify]: Simplify 0 into 0 50.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.984 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 50.984 * [backup-simplify]: Simplify 0 into 0 50.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.986 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 50.986 * [backup-simplify]: Simplify 0 into 0 50.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.989 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 50.989 * [backup-simplify]: Simplify 0 into 0 50.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.991 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 50.991 * [backup-simplify]: Simplify 0 into 0 50.992 * [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 50.994 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 50.994 * [backup-simplify]: Simplify 0 into 0 50.994 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 50.995 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 50.995 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 50.995 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 50.995 * [taylor]: Taking taylor expansion of -2 in n 50.995 * [backup-simplify]: Simplify -2 into -2 50.995 * [taylor]: Taking taylor expansion of (/ PI n) in n 50.995 * [taylor]: Taking taylor expansion of PI in n 50.995 * [backup-simplify]: Simplify PI into PI 50.995 * [taylor]: Taking taylor expansion of n in n 50.995 * [backup-simplify]: Simplify 0 into 0 50.995 * [backup-simplify]: Simplify 1 into 1 50.996 * [backup-simplify]: Simplify (/ PI 1) into PI 50.996 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 50.996 * [taylor]: Taking taylor expansion of -2 in n 50.996 * [backup-simplify]: Simplify -2 into -2 50.996 * [taylor]: Taking taylor expansion of (/ PI n) in n 50.996 * [taylor]: Taking taylor expansion of PI in n 50.996 * [backup-simplify]: Simplify PI into PI 50.996 * [taylor]: Taking taylor expansion of n in n 50.996 * [backup-simplify]: Simplify 0 into 0 50.996 * [backup-simplify]: Simplify 1 into 1 50.997 * [backup-simplify]: Simplify (/ PI 1) into PI 50.997 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 50.997 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 50.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 50.999 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 50.999 * [backup-simplify]: Simplify 0 into 0 51.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.001 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 51.001 * [backup-simplify]: Simplify 0 into 0 51.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.003 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.003 * [backup-simplify]: Simplify 0 into 0 51.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.004 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 51.004 * [backup-simplify]: Simplify 0 into 0 51.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.006 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 51.006 * [backup-simplify]: Simplify 0 into 0 51.006 * [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 51.007 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 51.007 * [backup-simplify]: Simplify 0 into 0 51.008 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 51.008 * * * * [progress]: [ 3 / 3 ] generating series at (2) 51.008 * [backup-simplify]: Simplify (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 51.008 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 51.008 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 51.008 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 51.008 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 51.008 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 51.008 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 51.008 * [taylor]: Taking taylor expansion of 1/2 in k 51.008 * [backup-simplify]: Simplify 1/2 into 1/2 51.008 * [taylor]: Taking taylor expansion of (- 1 k) in k 51.008 * [taylor]: Taking taylor expansion of 1 in k 51.008 * [backup-simplify]: Simplify 1 into 1 51.008 * [taylor]: Taking taylor expansion of k in k 51.008 * [backup-simplify]: Simplify 0 into 0 51.008 * [backup-simplify]: Simplify 1 into 1 51.008 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 51.008 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 51.008 * [taylor]: Taking taylor expansion of 2 in k 51.008 * [backup-simplify]: Simplify 2 into 2 51.008 * [taylor]: Taking taylor expansion of (* n PI) in k 51.008 * [taylor]: Taking taylor expansion of n in k 51.008 * [backup-simplify]: Simplify n into n 51.008 * [taylor]: Taking taylor expansion of PI in k 51.008 * [backup-simplify]: Simplify PI into PI 51.008 * [backup-simplify]: Simplify (* n PI) into (* n PI) 51.008 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 51.009 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 51.009 * [backup-simplify]: Simplify (- 0) into 0 51.009 * [backup-simplify]: Simplify (+ 1 0) into 1 51.009 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 51.009 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 51.009 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 51.009 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 51.009 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.009 * [taylor]: Taking taylor expansion of k in k 51.009 * [backup-simplify]: Simplify 0 into 0 51.010 * [backup-simplify]: Simplify 1 into 1 51.010 * [backup-simplify]: Simplify (/ 1 1) into 1 51.010 * [backup-simplify]: Simplify (sqrt 0) into 0 51.011 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 51.011 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 51.011 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 51.011 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 51.011 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 51.011 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 51.011 * [taylor]: Taking taylor expansion of 1/2 in n 51.011 * [backup-simplify]: Simplify 1/2 into 1/2 51.011 * [taylor]: Taking taylor expansion of (- 1 k) in n 51.011 * [taylor]: Taking taylor expansion of 1 in n 51.011 * [backup-simplify]: Simplify 1 into 1 51.011 * [taylor]: Taking taylor expansion of k in n 51.011 * [backup-simplify]: Simplify k into k 51.011 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 51.011 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.011 * [taylor]: Taking taylor expansion of 2 in n 51.011 * [backup-simplify]: Simplify 2 into 2 51.011 * [taylor]: Taking taylor expansion of (* n PI) in n 51.011 * [taylor]: Taking taylor expansion of n in n 51.011 * [backup-simplify]: Simplify 0 into 0 51.011 * [backup-simplify]: Simplify 1 into 1 51.011 * [taylor]: Taking taylor expansion of PI in n 51.011 * [backup-simplify]: Simplify PI into PI 51.012 * [backup-simplify]: Simplify (* 0 PI) into 0 51.012 * [backup-simplify]: Simplify (* 2 0) into 0 51.013 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.014 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.014 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.014 * [backup-simplify]: Simplify (- k) into (- k) 51.014 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 51.014 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 51.015 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.016 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 51.016 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 51.016 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 51.016 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.016 * [taylor]: Taking taylor expansion of k in n 51.017 * [backup-simplify]: Simplify k into k 51.017 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.017 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 51.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 51.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 51.017 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 51.017 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 51.017 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 51.017 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 51.017 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 51.017 * [taylor]: Taking taylor expansion of 1/2 in n 51.017 * [backup-simplify]: Simplify 1/2 into 1/2 51.017 * [taylor]: Taking taylor expansion of (- 1 k) in n 51.017 * [taylor]: Taking taylor expansion of 1 in n 51.017 * [backup-simplify]: Simplify 1 into 1 51.017 * [taylor]: Taking taylor expansion of k in n 51.017 * [backup-simplify]: Simplify k into k 51.017 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 51.017 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.017 * [taylor]: Taking taylor expansion of 2 in n 51.017 * [backup-simplify]: Simplify 2 into 2 51.017 * [taylor]: Taking taylor expansion of (* n PI) in n 51.017 * [taylor]: Taking taylor expansion of n in n 51.017 * [backup-simplify]: Simplify 0 into 0 51.017 * [backup-simplify]: Simplify 1 into 1 51.017 * [taylor]: Taking taylor expansion of PI in n 51.017 * [backup-simplify]: Simplify PI into PI 51.017 * [backup-simplify]: Simplify (* 0 PI) into 0 51.018 * [backup-simplify]: Simplify (* 2 0) into 0 51.018 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.019 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.020 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.020 * [backup-simplify]: Simplify (- k) into (- k) 51.020 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 51.020 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 51.021 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.022 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 51.022 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 51.022 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 51.022 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.022 * [taylor]: Taking taylor expansion of k in n 51.022 * [backup-simplify]: Simplify k into k 51.022 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.022 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 51.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 51.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 51.023 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) 51.023 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 51.023 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 51.023 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 51.023 * [taylor]: Taking taylor expansion of 1/2 in k 51.023 * [backup-simplify]: Simplify 1/2 into 1/2 51.023 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 51.023 * [taylor]: Taking taylor expansion of (- 1 k) in k 51.023 * [taylor]: Taking taylor expansion of 1 in k 51.023 * [backup-simplify]: Simplify 1 into 1 51.023 * [taylor]: Taking taylor expansion of k in k 51.023 * [backup-simplify]: Simplify 0 into 0 51.023 * [backup-simplify]: Simplify 1 into 1 51.023 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 51.023 * [taylor]: Taking taylor expansion of (log n) in k 51.023 * [taylor]: Taking taylor expansion of n in k 51.023 * [backup-simplify]: Simplify n into n 51.024 * [backup-simplify]: Simplify (log n) into (log n) 51.024 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 51.024 * [taylor]: Taking taylor expansion of (* 2 PI) in k 51.024 * [taylor]: Taking taylor expansion of 2 in k 51.024 * [backup-simplify]: Simplify 2 into 2 51.024 * [taylor]: Taking taylor expansion of PI in k 51.024 * [backup-simplify]: Simplify PI into PI 51.024 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.024 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.025 * [backup-simplify]: Simplify (- 0) into 0 51.025 * [backup-simplify]: Simplify (+ 1 0) into 1 51.026 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.026 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 51.027 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 51.027 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 51.028 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 51.028 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.028 * [taylor]: Taking taylor expansion of k in k 51.028 * [backup-simplify]: Simplify 0 into 0 51.028 * [backup-simplify]: Simplify 1 into 1 51.028 * [backup-simplify]: Simplify (/ 1 1) into 1 51.028 * [backup-simplify]: Simplify (sqrt 0) into 0 51.029 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 51.031 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 51.031 * [backup-simplify]: Simplify 0 into 0 51.032 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 51.033 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 51.035 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 51.035 * [backup-simplify]: Simplify (- 0) into 0 51.035 * [backup-simplify]: Simplify (+ 0 0) into 0 51.036 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 51.037 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.038 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 51.040 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.041 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 51.041 * [taylor]: Taking taylor expansion of 0 in k 51.041 * [backup-simplify]: Simplify 0 into 0 51.042 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 51.043 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 51.045 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 51.045 * [backup-simplify]: Simplify (+ 0 0) into 0 51.046 * [backup-simplify]: Simplify (- 1) into -1 51.046 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.048 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 51.050 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 51.053 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 51.056 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 51.057 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 51.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.058 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 51.060 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 51.061 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 51.064 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 51.065 * [backup-simplify]: Simplify (- 0) into 0 51.065 * [backup-simplify]: Simplify (+ 0 0) into 0 51.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 51.067 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.069 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 51.071 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.073 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 51.073 * [taylor]: Taking taylor expansion of 0 in k 51.073 * [backup-simplify]: Simplify 0 into 0 51.073 * [backup-simplify]: Simplify 0 into 0 51.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 51.077 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 51.078 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 51.079 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 51.082 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 51.083 * [backup-simplify]: Simplify (+ 0 0) into 0 51.083 * [backup-simplify]: Simplify (- 0) into 0 51.083 * [backup-simplify]: Simplify (+ 0 0) into 0 51.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 51.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 51.091 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 51.101 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 51.105 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 51.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.106 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 51.108 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 51.109 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 51.115 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 51.115 * [backup-simplify]: Simplify (- 0) into 0 51.116 * [backup-simplify]: Simplify (+ 0 0) into 0 51.117 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 51.118 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.120 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 51.122 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 51.124 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 51.124 * [taylor]: Taking taylor expansion of 0 in k 51.124 * [backup-simplify]: Simplify 0 into 0 51.124 * [backup-simplify]: Simplify 0 into 0 51.125 * [backup-simplify]: Simplify 0 into 0 51.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 51.132 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 51.133 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.139 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 51.139 * [backup-simplify]: Simplify (+ 0 0) into 0 51.139 * [backup-simplify]: Simplify (- 0) into 0 51.140 * [backup-simplify]: Simplify (+ 0 0) into 0 51.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 51.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 51.151 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 51.169 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 51.181 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 51.199 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 51.200 * [backup-simplify]: Simplify (* (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (pow (/ 1 k) -1/2)) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 51.200 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 51.200 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 51.200 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 51.200 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 51.200 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 51.200 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 51.200 * [taylor]: Taking taylor expansion of 1/2 in k 51.200 * [backup-simplify]: Simplify 1/2 into 1/2 51.200 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 51.200 * [taylor]: Taking taylor expansion of 1 in k 51.200 * [backup-simplify]: Simplify 1 into 1 51.200 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.201 * [taylor]: Taking taylor expansion of k in k 51.201 * [backup-simplify]: Simplify 0 into 0 51.201 * [backup-simplify]: Simplify 1 into 1 51.201 * [backup-simplify]: Simplify (/ 1 1) into 1 51.201 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 51.201 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 51.201 * [taylor]: Taking taylor expansion of 2 in k 51.201 * [backup-simplify]: Simplify 2 into 2 51.201 * [taylor]: Taking taylor expansion of (/ PI n) in k 51.201 * [taylor]: Taking taylor expansion of PI in k 51.201 * [backup-simplify]: Simplify PI into PI 51.201 * [taylor]: Taking taylor expansion of n in k 51.201 * [backup-simplify]: Simplify n into n 51.201 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 51.201 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 51.201 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 51.202 * [backup-simplify]: Simplify (- 1) into -1 51.202 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.203 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 51.203 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 51.203 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 51.203 * [taylor]: Taking taylor expansion of (sqrt k) in k 51.203 * [taylor]: Taking taylor expansion of k in k 51.203 * [backup-simplify]: Simplify 0 into 0 51.203 * [backup-simplify]: Simplify 1 into 1 51.204 * [backup-simplify]: Simplify (sqrt 0) into 0 51.205 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 51.205 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 51.205 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 51.205 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 51.205 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 51.205 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 51.205 * [taylor]: Taking taylor expansion of 1/2 in n 51.205 * [backup-simplify]: Simplify 1/2 into 1/2 51.205 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 51.205 * [taylor]: Taking taylor expansion of 1 in n 51.205 * [backup-simplify]: Simplify 1 into 1 51.206 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.206 * [taylor]: Taking taylor expansion of k in n 51.206 * [backup-simplify]: Simplify k into k 51.206 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.206 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 51.206 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.206 * [taylor]: Taking taylor expansion of 2 in n 51.206 * [backup-simplify]: Simplify 2 into 2 51.206 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.206 * [taylor]: Taking taylor expansion of PI in n 51.206 * [backup-simplify]: Simplify PI into PI 51.206 * [taylor]: Taking taylor expansion of n in n 51.206 * [backup-simplify]: Simplify 0 into 0 51.206 * [backup-simplify]: Simplify 1 into 1 51.207 * [backup-simplify]: Simplify (/ PI 1) into PI 51.207 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.207 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.207 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 51.208 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 51.208 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 51.208 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.209 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 51.210 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 51.210 * [taylor]: Taking taylor expansion of (sqrt k) in n 51.210 * [taylor]: Taking taylor expansion of k in n 51.210 * [backup-simplify]: Simplify k into k 51.210 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 51.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 51.210 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 51.210 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 51.210 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 51.210 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 51.210 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 51.210 * [taylor]: Taking taylor expansion of 1/2 in n 51.210 * [backup-simplify]: Simplify 1/2 into 1/2 51.210 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 51.210 * [taylor]: Taking taylor expansion of 1 in n 51.210 * [backup-simplify]: Simplify 1 into 1 51.210 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.210 * [taylor]: Taking taylor expansion of k in n 51.210 * [backup-simplify]: Simplify k into k 51.210 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.210 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 51.210 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.210 * [taylor]: Taking taylor expansion of 2 in n 51.210 * [backup-simplify]: Simplify 2 into 2 51.210 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.210 * [taylor]: Taking taylor expansion of PI in n 51.210 * [backup-simplify]: Simplify PI into PI 51.210 * [taylor]: Taking taylor expansion of n in n 51.210 * [backup-simplify]: Simplify 0 into 0 51.210 * [backup-simplify]: Simplify 1 into 1 51.211 * [backup-simplify]: Simplify (/ PI 1) into PI 51.211 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.212 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.212 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 51.212 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 51.212 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 51.213 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.214 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 51.214 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 51.214 * [taylor]: Taking taylor expansion of (sqrt k) in n 51.214 * [taylor]: Taking taylor expansion of k in n 51.214 * [backup-simplify]: Simplify k into k 51.214 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 51.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 51.215 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) 51.215 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 51.215 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 51.215 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 51.215 * [taylor]: Taking taylor expansion of 1/2 in k 51.215 * [backup-simplify]: Simplify 1/2 into 1/2 51.215 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 51.215 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 51.215 * [taylor]: Taking taylor expansion of 1 in k 51.215 * [backup-simplify]: Simplify 1 into 1 51.215 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.215 * [taylor]: Taking taylor expansion of k in k 51.215 * [backup-simplify]: Simplify 0 into 0 51.215 * [backup-simplify]: Simplify 1 into 1 51.216 * [backup-simplify]: Simplify (/ 1 1) into 1 51.216 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 51.216 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 51.216 * [taylor]: Taking taylor expansion of (* 2 PI) in k 51.216 * [taylor]: Taking taylor expansion of 2 in k 51.216 * [backup-simplify]: Simplify 2 into 2 51.216 * [taylor]: Taking taylor expansion of PI in k 51.216 * [backup-simplify]: Simplify PI into PI 51.216 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.217 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.217 * [taylor]: Taking taylor expansion of (log n) in k 51.217 * [taylor]: Taking taylor expansion of n in k 51.217 * [backup-simplify]: Simplify n into n 51.217 * [backup-simplify]: Simplify (log n) into (log n) 51.217 * [backup-simplify]: Simplify (- 1) into -1 51.217 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.217 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 51.218 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 51.219 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 51.219 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 51.220 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 51.220 * [taylor]: Taking taylor expansion of (sqrt k) in k 51.220 * [taylor]: Taking taylor expansion of k in k 51.220 * [backup-simplify]: Simplify 0 into 0 51.220 * [backup-simplify]: Simplify 1 into 1 51.220 * [backup-simplify]: Simplify (sqrt 0) into 0 51.221 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 51.222 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 51.222 * [backup-simplify]: Simplify 0 into 0 51.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.223 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 51.224 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 51.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 51.224 * [backup-simplify]: Simplify (- 0) into 0 51.224 * [backup-simplify]: Simplify (+ 0 0) into 0 51.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 51.226 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.226 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 51.228 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.229 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 51.230 * [taylor]: Taking taylor expansion of 0 in k 51.230 * [backup-simplify]: Simplify 0 into 0 51.230 * [backup-simplify]: Simplify 0 into 0 51.231 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 51.232 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 51.233 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 51.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.235 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 51.238 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 51.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.239 * [backup-simplify]: Simplify (- 0) into 0 51.239 * [backup-simplify]: Simplify (+ 0 0) into 0 51.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 51.241 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.243 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 51.245 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.247 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 51.247 * [taylor]: Taking taylor expansion of 0 in k 51.247 * [backup-simplify]: Simplify 0 into 0 51.247 * [backup-simplify]: Simplify 0 into 0 51.247 * [backup-simplify]: Simplify 0 into 0 51.250 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 51.252 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 51.253 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 51.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 51.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.257 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.261 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 51.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.261 * [backup-simplify]: Simplify (- 0) into 0 51.261 * [backup-simplify]: Simplify (+ 0 0) into 0 51.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 51.263 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.264 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 51.266 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 51.267 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 51.267 * [taylor]: Taking taylor expansion of 0 in k 51.267 * [backup-simplify]: Simplify 0 into 0 51.267 * [backup-simplify]: Simplify 0 into 0 51.267 * [backup-simplify]: Simplify 0 into 0 51.267 * [backup-simplify]: Simplify 0 into 0 51.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 51.270 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 51.271 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 51.273 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 51.274 * [backup-simplify]: Simplify (* (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (pow (/ 1 (- k)) -1/2)) into (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) 51.274 * [approximate]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (n k) around 0 51.274 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 51.274 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k 51.274 * [taylor]: Taking taylor expansion of (/ k -1) in k 51.274 * [taylor]: Taking taylor expansion of k in k 51.274 * [backup-simplify]: Simplify 0 into 0 51.274 * [backup-simplify]: Simplify 1 into 1 51.274 * [taylor]: Taking taylor expansion of -1 in k 51.274 * [backup-simplify]: Simplify -1 into -1 51.274 * [backup-simplify]: Simplify (/ 1 -1) into -1 51.275 * [backup-simplify]: Simplify (sqrt 0) into 0 51.275 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 51.275 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 51.276 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 51.276 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 51.276 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 51.276 * [taylor]: Taking taylor expansion of 1/2 in k 51.276 * [backup-simplify]: Simplify 1/2 into 1/2 51.276 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 51.276 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.276 * [taylor]: Taking taylor expansion of k in k 51.276 * [backup-simplify]: Simplify 0 into 0 51.276 * [backup-simplify]: Simplify 1 into 1 51.276 * [backup-simplify]: Simplify (/ 1 1) into 1 51.276 * [taylor]: Taking taylor expansion of 1 in k 51.276 * [backup-simplify]: Simplify 1 into 1 51.276 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 51.276 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 51.276 * [taylor]: Taking taylor expansion of -2 in k 51.276 * [backup-simplify]: Simplify -2 into -2 51.276 * [taylor]: Taking taylor expansion of (/ PI n) in k 51.276 * [taylor]: Taking taylor expansion of PI in k 51.276 * [backup-simplify]: Simplify PI into PI 51.276 * [taylor]: Taking taylor expansion of n in k 51.276 * [backup-simplify]: Simplify n into n 51.276 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 51.276 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 51.276 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 51.276 * [backup-simplify]: Simplify (+ 1 0) into 1 51.277 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 51.277 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 51.277 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 51.277 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 51.277 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n 51.277 * [taylor]: Taking taylor expansion of (/ k -1) in n 51.277 * [taylor]: Taking taylor expansion of k in n 51.277 * [backup-simplify]: Simplify k into k 51.277 * [taylor]: Taking taylor expansion of -1 in n 51.277 * [backup-simplify]: Simplify -1 into -1 51.277 * [backup-simplify]: Simplify (/ k -1) into (* -1 k) 51.277 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k)) 51.278 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0 51.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0 51.278 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 51.278 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 51.278 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 51.278 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 51.278 * [taylor]: Taking taylor expansion of 1/2 in n 51.278 * [backup-simplify]: Simplify 1/2 into 1/2 51.278 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 51.278 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.278 * [taylor]: Taking taylor expansion of k in n 51.278 * [backup-simplify]: Simplify k into k 51.278 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.278 * [taylor]: Taking taylor expansion of 1 in n 51.278 * [backup-simplify]: Simplify 1 into 1 51.278 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 51.278 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.278 * [taylor]: Taking taylor expansion of -2 in n 51.278 * [backup-simplify]: Simplify -2 into -2 51.278 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.278 * [taylor]: Taking taylor expansion of PI in n 51.278 * [backup-simplify]: Simplify PI into PI 51.278 * [taylor]: Taking taylor expansion of n in n 51.278 * [backup-simplify]: Simplify 0 into 0 51.278 * [backup-simplify]: Simplify 1 into 1 51.280 * [backup-simplify]: Simplify (/ PI 1) into PI 51.280 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.281 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 51.281 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 51.281 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 51.282 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.283 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 51.283 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 51.283 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 51.283 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n 51.283 * [taylor]: Taking taylor expansion of (/ k -1) in n 51.283 * [taylor]: Taking taylor expansion of k in n 51.283 * [backup-simplify]: Simplify k into k 51.283 * [taylor]: Taking taylor expansion of -1 in n 51.283 * [backup-simplify]: Simplify -1 into -1 51.283 * [backup-simplify]: Simplify (/ k -1) into (* -1 k) 51.283 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k)) 51.284 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0 51.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0 51.284 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 51.284 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 51.284 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 51.284 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 51.284 * [taylor]: Taking taylor expansion of 1/2 in n 51.284 * [backup-simplify]: Simplify 1/2 into 1/2 51.284 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 51.284 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.284 * [taylor]: Taking taylor expansion of k in n 51.284 * [backup-simplify]: Simplify k into k 51.284 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.284 * [taylor]: Taking taylor expansion of 1 in n 51.284 * [backup-simplify]: Simplify 1 into 1 51.284 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 51.284 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.284 * [taylor]: Taking taylor expansion of -2 in n 51.284 * [backup-simplify]: Simplify -2 into -2 51.284 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.284 * [taylor]: Taking taylor expansion of PI in n 51.284 * [backup-simplify]: Simplify PI into PI 51.284 * [taylor]: Taking taylor expansion of n in n 51.284 * [backup-simplify]: Simplify 0 into 0 51.284 * [backup-simplify]: Simplify 1 into 1 51.285 * [backup-simplify]: Simplify (/ PI 1) into PI 51.285 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.286 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 51.286 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 51.286 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 51.287 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.287 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 51.288 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 51.289 * [backup-simplify]: Simplify (* (sqrt (* -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* (sqrt (* -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 51.289 * [taylor]: Taking taylor expansion of (* (sqrt (* -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) in k 51.289 * [taylor]: Taking taylor expansion of (sqrt (* -1 k)) in k 51.289 * [taylor]: Taking taylor expansion of (* -1 k) in k 51.289 * [taylor]: Taking taylor expansion of -1 in k 51.289 * [backup-simplify]: Simplify -1 into -1 51.289 * [taylor]: Taking taylor expansion of k in k 51.289 * [backup-simplify]: Simplify 0 into 0 51.289 * [backup-simplify]: Simplify 1 into 1 51.289 * [backup-simplify]: Simplify (* -1 0) into 0 51.289 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 51.290 * [backup-simplify]: Simplify (sqrt 0) into 0 51.290 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 51.291 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 51.291 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 51.291 * [taylor]: Taking taylor expansion of 1/2 in k 51.291 * [backup-simplify]: Simplify 1/2 into 1/2 51.291 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 51.291 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 51.291 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.291 * [taylor]: Taking taylor expansion of k in k 51.291 * [backup-simplify]: Simplify 0 into 0 51.291 * [backup-simplify]: Simplify 1 into 1 51.291 * [backup-simplify]: Simplify (/ 1 1) into 1 51.291 * [taylor]: Taking taylor expansion of 1 in k 51.291 * [backup-simplify]: Simplify 1 into 1 51.291 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 51.291 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 51.291 * [taylor]: Taking taylor expansion of (* -2 PI) in k 51.291 * [taylor]: Taking taylor expansion of -2 in k 51.291 * [backup-simplify]: Simplify -2 into -2 51.291 * [taylor]: Taking taylor expansion of PI in k 51.291 * [backup-simplify]: Simplify PI into PI 51.291 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.292 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 51.292 * [taylor]: Taking taylor expansion of (log n) in k 51.292 * [taylor]: Taking taylor expansion of n in k 51.292 * [backup-simplify]: Simplify n into n 51.292 * [backup-simplify]: Simplify (log n) into (log n) 51.292 * [backup-simplify]: Simplify (+ 1 0) into 1 51.292 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 51.293 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 51.293 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 51.294 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 51.295 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 51.296 * [backup-simplify]: Simplify (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into 0 51.296 * [backup-simplify]: Simplify 0 into 0 51.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.298 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 51.300 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 51.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 51.300 * [backup-simplify]: Simplify (+ 0 0) into 0 51.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 51.302 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.303 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 51.305 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.306 * [backup-simplify]: Simplify (+ (* (sqrt (* -1 k)) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 51.306 * [taylor]: Taking taylor expansion of 0 in k 51.306 * [backup-simplify]: Simplify 0 into 0 51.306 * [backup-simplify]: Simplify 0 into 0 51.308 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 51.309 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 51.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.311 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 51.315 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 51.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.316 * [backup-simplify]: Simplify (+ 0 0) into 0 51.316 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 51.318 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.320 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 51.322 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.323 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 51.324 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* -1 k)))) into 0 51.325 * [backup-simplify]: Simplify (+ (* (sqrt (* -1 k)) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into 0 51.325 * [taylor]: Taking taylor expansion of 0 in k 51.325 * [backup-simplify]: Simplify 0 into 0 51.325 * [backup-simplify]: Simplify 0 into 0 51.325 * [backup-simplify]: Simplify 0 into 0 51.325 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 51.327 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 51.328 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 51.329 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 51.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.330 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.333 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 51.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.334 * [backup-simplify]: Simplify (+ 0 0) into 0 51.335 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 51.336 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.337 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 51.338 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 51.339 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 51.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* -1 k)))) into 0 51.341 * [backup-simplify]: Simplify (+ (* (sqrt (* -1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))) into 0 51.341 * [taylor]: Taking taylor expansion of 0 in k 51.341 * [backup-simplify]: Simplify 0 into 0 51.341 * [backup-simplify]: Simplify 0 into 0 51.341 * [backup-simplify]: Simplify 0 into 0 51.341 * [backup-simplify]: Simplify 0 into 0 51.342 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 51.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 51.346 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 51.346 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 51.349 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))))))) 51.349 * * * [progress]: simplifying candidates 51.349 * * * * [progress]: [ 1 / 118 ] simplifiying candidate # 51.349 * * * * [progress]: [ 2 / 118 ] simplifiying candidate # 51.349 * * * * [progress]: [ 3 / 118 ] simplifiying candidate # 51.349 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 51.349 * * [simplify]: iters left: 6 (13 enodes) 51.353 * * [simplify]: iters left: 5 (54 enodes) 51.362 * * [simplify]: iters left: 4 (97 enodes) 51.385 * * [simplify]: iters left: 3 (250 enodes) 51.487 * * [simplify]: Extracting #0: cost 1 inf + 0 51.487 * * [simplify]: Extracting #1: cost 34 inf + 0 51.488 * * [simplify]: Extracting #2: cost 100 inf + 73 51.490 * * [simplify]: Extracting #3: cost 126 inf + 1867 51.495 * * [simplify]: Extracting #4: cost 46 inf + 20363 51.508 * * [simplify]: Extracting #5: cost 5 inf + 31901 51.520 * * [simplify]: Extracting #6: cost 0 inf + 33789 51.527 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 51.527 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (pow k -1/2))) 51.527 * * * * [progress]: [ 4 / 118 ] simplifiying candidate # 51.528 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 51.528 * * [simplify]: iters left: 6 (12 enodes) 51.532 * * [simplify]: iters left: 5 (52 enodes) 51.541 * * [simplify]: iters left: 4 (90 enodes) 51.565 * * [simplify]: iters left: 3 (207 enodes) 51.645 * * [simplify]: Extracting #0: cost 1 inf + 0 51.645 * * [simplify]: Extracting #1: cost 29 inf + 0 51.645 * * [simplify]: Extracting #2: cost 88 inf + 73 51.646 * * [simplify]: Extracting #3: cost 117 inf + 443 51.648 * * [simplify]: Extracting #4: cost 77 inf + 5789 51.658 * * [simplify]: Extracting #5: cost 28 inf + 17508 51.669 * * [simplify]: Extracting #6: cost 0 inf + 26056 51.680 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 51.680 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (pow k -1/2))) 51.681 * * * * [progress]: [ 5 / 118 ] simplifiying candidate # 51.681 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 51.681 * * [simplify]: iters left: 6 (11 enodes) 51.687 * * [simplify]: iters left: 5 (51 enodes) 51.700 * * [simplify]: iters left: 4 (97 enodes) 51.717 * * [simplify]: iters left: 3 (201 enodes) 51.777 * * [simplify]: Extracting #0: cost 1 inf + 0 51.777 * * [simplify]: Extracting #1: cost 31 inf + 0 51.778 * * [simplify]: Extracting #2: cost 94 inf + 2 51.779 * * [simplify]: Extracting #3: cost 127 inf + 355 51.782 * * [simplify]: Extracting #4: cost 75 inf + 7402 51.785 * * [simplify]: Extracting #5: cost 31 inf + 16283 51.790 * * [simplify]: Extracting #6: cost 3 inf + 23308 51.795 * * [simplify]: Extracting #7: cost 0 inf + 24140 51.800 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 51.800 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (pow k -1/2))) 51.801 * * * * [progress]: [ 6 / 118 ] simplifiying candidate # 51.801 * * * * [progress]: [ 7 / 118 ] simplifiying candidate # 51.801 * [simplify]: Simplifying (* n (* 2 PI)) 51.801 * * [simplify]: iters left: 4 (5 enodes) 51.802 * * [simplify]: iters left: 3 (19 enodes) 51.805 * * [simplify]: iters left: 2 (27 enodes) 51.809 * * [simplify]: iters left: 1 (32 enodes) 51.813 * * [simplify]: Extracting #0: cost 1 inf + 0 51.813 * * [simplify]: Extracting #1: cost 8 inf + 0 51.813 * * [simplify]: Extracting #2: cost 7 inf + 45 51.813 * * [simplify]: Extracting #3: cost 0 inf + 421 51.813 * [simplify]: Simplified to (* (* PI 2) n) 51.813 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (pow k -1/2))) 51.813 * * * * [progress]: [ 8 / 118 ] simplifiying candidate # 51.814 * [simplify]: Simplifying (* n (* 2 PI)) 51.814 * * [simplify]: iters left: 4 (5 enodes) 51.815 * * [simplify]: iters left: 3 (19 enodes) 51.821 * * [simplify]: iters left: 2 (27 enodes) 51.829 * * [simplify]: iters left: 1 (32 enodes) 51.839 * * [simplify]: Extracting #0: cost 1 inf + 0 51.839 * * [simplify]: Extracting #1: cost 8 inf + 0 51.839 * * [simplify]: Extracting #2: cost 7 inf + 45 51.840 * * [simplify]: Extracting #3: cost 0 inf + 421 51.840 * [simplify]: Simplified to (* (* PI 2) n) 51.840 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (pow k -1/2))) 51.840 * * * * [progress]: [ 9 / 118 ] simplifiying candidate # 51.840 * [simplify]: Simplifying (* n (* 2 PI)) 51.840 * * [simplify]: iters left: 4 (5 enodes) 51.842 * * [simplify]: iters left: 3 (19 enodes) 51.845 * * [simplify]: iters left: 2 (27 enodes) 51.849 * * [simplify]: iters left: 1 (32 enodes) 51.853 * * [simplify]: Extracting #0: cost 1 inf + 0 51.853 * * [simplify]: Extracting #1: cost 8 inf + 0 51.853 * * [simplify]: Extracting #2: cost 7 inf + 45 51.853 * * [simplify]: Extracting #3: cost 0 inf + 421 51.854 * [simplify]: Simplified to (* (* PI 2) n) 51.854 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (pow k -1/2))) 51.854 * * * * [progress]: [ 10 / 118 ] simplifiying candidate # 51.854 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 51.854 * * [simplify]: iters left: 5 (8 enodes) 51.856 * * [simplify]: iters left: 4 (31 enodes) 51.861 * * [simplify]: iters left: 3 (51 enodes) 51.870 * * [simplify]: iters left: 2 (85 enodes) 51.888 * * [simplify]: iters left: 1 (152 enodes) 51.919 * * [simplify]: Extracting #0: cost 1 inf + 0 51.919 * * [simplify]: Extracting #1: cost 13 inf + 0 51.919 * * [simplify]: Extracting #2: cost 59 inf + 1 51.919 * * [simplify]: Extracting #3: cost 76 inf + 9 51.920 * * [simplify]: Extracting #4: cost 41 inf + 3303 51.921 * * [simplify]: Extracting #5: cost 16 inf + 10676 51.925 * * [simplify]: Extracting #6: cost 0 inf + 21028 51.931 * * [simplify]: Extracting #7: cost 0 inf + 20456 51.936 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 51.936 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (pow k -1/2))) 51.936 * * * * [progress]: [ 11 / 118 ] simplifiying candidate # 51.936 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 51.936 * * [simplify]: iters left: 5 (6 enodes) 51.940 * * [simplify]: iters left: 4 (26 enodes) 51.944 * * [simplify]: iters left: 3 (35 enodes) 51.949 * * [simplify]: Extracting #0: cost 1 inf + 0 51.949 * * [simplify]: Extracting #1: cost 3 inf + 0 51.949 * * [simplify]: Extracting #2: cost 8 inf + 0 51.949 * * [simplify]: Extracting #3: cost 11 inf + 2 51.949 * * [simplify]: Extracting #4: cost 8 inf + 87 51.949 * * [simplify]: Extracting #5: cost 2 inf + 500 51.950 * * [simplify]: Extracting #6: cost 0 inf + 746 51.950 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 51.950 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (pow k -1/2))) 51.950 * * * * [progress]: [ 12 / 118 ] simplifiying candidate # 51.950 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 51.950 * * [simplify]: iters left: 5 (6 enodes) 51.953 * * [simplify]: iters left: 4 (26 enodes) 51.957 * * [simplify]: iters left: 3 (35 enodes) 51.962 * * [simplify]: Extracting #0: cost 1 inf + 0 51.962 * * [simplify]: Extracting #1: cost 3 inf + 0 51.962 * * [simplify]: Extracting #2: cost 8 inf + 0 51.962 * * [simplify]: Extracting #3: cost 11 inf + 2 51.962 * * [simplify]: Extracting #4: cost 8 inf + 87 51.962 * * [simplify]: Extracting #5: cost 2 inf + 460 51.963 * * [simplify]: Extracting #6: cost 0 inf + 666 51.963 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 51.963 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (pow k -1/2))) 51.963 * * * * [progress]: [ 13 / 118 ] simplifiying candidate # 51.963 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 51.963 * * [simplify]: iters left: 5 (7 enodes) 51.966 * * [simplify]: iters left: 4 (25 enodes) 51.973 * * [simplify]: iters left: 3 (30 enodes) 51.981 * * [simplify]: Extracting #0: cost 1 inf + 0 51.981 * * [simplify]: Extracting #1: cost 4 inf + 0 51.981 * * [simplify]: Extracting #2: cost 8 inf + 0 51.981 * * [simplify]: Extracting #3: cost 10 inf + 82 51.981 * * [simplify]: Extracting #4: cost 7 inf + 206 51.981 * * [simplify]: Extracting #5: cost 2 inf + 575 51.981 * * [simplify]: Extracting #6: cost 1 inf + 818 51.981 * * [simplify]: Extracting #7: cost 0 inf + 1061 51.981 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 51.981 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (pow k -1/2))) 51.982 * * * * [progress]: [ 14 / 118 ] simplifiying candidate # 51.982 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 51.982 * * [simplify]: iters left: 5 (7 enodes) 51.984 * * [simplify]: iters left: 4 (25 enodes) 51.988 * * [simplify]: iters left: 3 (30 enodes) 51.993 * * [simplify]: Extracting #0: cost 1 inf + 0 51.993 * * [simplify]: Extracting #1: cost 4 inf + 0 51.993 * * [simplify]: Extracting #2: cost 8 inf + 0 51.993 * * [simplify]: Extracting #3: cost 10 inf + 42 51.993 * * [simplify]: Extracting #4: cost 7 inf + 126 51.993 * * [simplify]: Extracting #5: cost 2 inf + 495 51.993 * * [simplify]: Extracting #6: cost 1 inf + 698 51.994 * * [simplify]: Extracting #7: cost 0 inf + 901 51.994 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 51.994 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (pow k -1/2))) 51.994 * * * * [progress]: [ 15 / 118 ] simplifiying candidate # 51.994 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 51.994 * * [simplify]: iters left: 5 (6 enodes) 51.996 * * [simplify]: iters left: 4 (22 enodes) 52.000 * * [simplify]: iters left: 3 (27 enodes) 52.004 * * [simplify]: Extracting #0: cost 1 inf + 0 52.004 * * [simplify]: Extracting #1: cost 4 inf + 0 52.004 * * [simplify]: Extracting #2: cost 5 inf + 1 52.004 * * [simplify]: Extracting #3: cost 9 inf + 1 52.004 * * [simplify]: Extracting #4: cost 8 inf + 3 52.004 * * [simplify]: Extracting #5: cost 4 inf + 169 52.004 * * [simplify]: Extracting #6: cost 1 inf + 576 52.004 * * [simplify]: Extracting #7: cost 0 inf + 739 52.004 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 52.004 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (pow k -1/2))) 52.004 * * * * [progress]: [ 16 / 118 ] simplifiying candidate # 52.005 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 52.005 * * [simplify]: iters left: 5 (7 enodes) 52.007 * * [simplify]: iters left: 4 (25 enodes) 52.014 * * [simplify]: iters left: 3 (30 enodes) 52.023 * * [simplify]: Extracting #0: cost 1 inf + 0 52.023 * * [simplify]: Extracting #1: cost 4 inf + 0 52.023 * * [simplify]: Extracting #2: cost 8 inf + 0 52.023 * * [simplify]: Extracting #3: cost 10 inf + 82 52.023 * * [simplify]: Extracting #4: cost 7 inf + 206 52.023 * * [simplify]: Extracting #5: cost 2 inf + 495 52.024 * * [simplify]: Extracting #6: cost 1 inf + 698 52.024 * * [simplify]: Extracting #7: cost 0 inf + 901 52.024 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 52.024 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (pow k -1/2))) 52.024 * * * * [progress]: [ 17 / 118 ] simplifiying candidate # 52.025 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 52.025 * * [simplify]: iters left: 5 (7 enodes) 52.029 * * [simplify]: iters left: 4 (25 enodes) 52.037 * * [simplify]: iters left: 3 (30 enodes) 52.046 * * [simplify]: Extracting #0: cost 1 inf + 0 52.046 * * [simplify]: Extracting #1: cost 4 inf + 0 52.046 * * [simplify]: Extracting #2: cost 8 inf + 0 52.046 * * [simplify]: Extracting #3: cost 10 inf + 42 52.046 * * [simplify]: Extracting #4: cost 7 inf + 126 52.047 * * [simplify]: Extracting #5: cost 2 inf + 415 52.047 * * [simplify]: Extracting #6: cost 1 inf + 578 52.047 * * [simplify]: Extracting #7: cost 0 inf + 741 52.048 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 52.048 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (pow k -1/2))) 52.048 * * * * [progress]: [ 18 / 118 ] simplifiying candidate # 52.048 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 52.048 * * [simplify]: iters left: 5 (6 enodes) 52.052 * * [simplify]: iters left: 4 (22 enodes) 52.059 * * [simplify]: iters left: 3 (27 enodes) 52.067 * * [simplify]: Extracting #0: cost 1 inf + 0 52.067 * * [simplify]: Extracting #1: cost 4 inf + 0 52.068 * * [simplify]: Extracting #2: cost 5 inf + 1 52.068 * * [simplify]: Extracting #3: cost 9 inf + 1 52.068 * * [simplify]: Extracting #4: cost 8 inf + 3 52.068 * * [simplify]: Extracting #5: cost 4 inf + 169 52.068 * * [simplify]: Extracting #6: cost 1 inf + 456 52.068 * * [simplify]: Extracting #7: cost 0 inf + 579 52.069 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 52.069 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (pow k -1/2))) 52.069 * * * * [progress]: [ 19 / 118 ] simplifiying candidate # 52.069 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 52.069 * * [simplify]: iters left: 4 (6 enodes) 52.073 * * [simplify]: iters left: 3 (25 enodes) 52.082 * * [simplify]: iters left: 2 (36 enodes) 52.093 * * [simplify]: iters left: 1 (40 enodes) 52.105 * * [simplify]: Extracting #0: cost 1 inf + 0 52.105 * * [simplify]: Extracting #1: cost 7 inf + 0 52.105 * * [simplify]: Extracting #2: cost 16 inf + 0 52.106 * * [simplify]: Extracting #3: cost 13 inf + 44 52.106 * * [simplify]: Extracting #4: cost 3 inf + 1103 52.106 * * [simplify]: Extracting #5: cost 0 inf + 1469 52.107 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 52.107 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (pow k -1/2))) 52.107 * * * * [progress]: [ 20 / 118 ] simplifiying candidate # 52.107 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 52.108 * * [simplify]: iters left: 4 (6 enodes) 52.112 * * [simplify]: iters left: 3 (25 enodes) 52.120 * * [simplify]: iters left: 2 (36 enodes) 52.131 * * [simplify]: iters left: 1 (40 enodes) 52.141 * * [simplify]: Extracting #0: cost 1 inf + 0 52.141 * * [simplify]: Extracting #1: cost 7 inf + 0 52.141 * * [simplify]: Extracting #2: cost 16 inf + 0 52.141 * * [simplify]: Extracting #3: cost 13 inf + 44 52.141 * * [simplify]: Extracting #4: cost 3 inf + 823 52.142 * * [simplify]: Extracting #5: cost 0 inf + 1069 52.142 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 52.142 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (pow k -1/2))) 52.142 * * * * [progress]: [ 21 / 118 ] simplifiying candidate # 52.142 * [simplify]: Simplifying (/ (- 1 k) 2) 52.142 * * [simplify]: iters left: 4 (5 enodes) 52.144 * * [simplify]: iters left: 3 (23 enodes) 52.148 * * [simplify]: iters left: 2 (32 enodes) 52.155 * * [simplify]: Extracting #0: cost 1 inf + 0 52.155 * * [simplify]: Extracting #1: cost 6 inf + 0 52.155 * * [simplify]: Extracting #2: cost 9 inf + 2 52.155 * * [simplify]: Extracting #3: cost 6 inf + 87 52.155 * * [simplify]: Extracting #4: cost 0 inf + 420 52.155 * [simplify]: Simplified to (/ (- 1 k) 2) 52.155 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (pow k -1/2))) 52.155 * * * * [progress]: [ 22 / 118 ] simplifiying candidate # 52.155 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 52.156 * * [simplify]: iters left: 5 (8 enodes) 52.158 * * [simplify]: iters left: 4 (31 enodes) 52.164 * * [simplify]: iters left: 3 (45 enodes) 52.174 * * [simplify]: iters left: 2 (51 enodes) 52.185 * * [simplify]: iters left: 1 (52 enodes) 52.192 * * [simplify]: Extracting #0: cost 1 inf + 0 52.193 * * [simplify]: Extracting #1: cost 8 inf + 0 52.193 * * [simplify]: Extracting #2: cost 18 inf + 0 52.193 * * [simplify]: Extracting #3: cost 19 inf + 2 52.193 * * [simplify]: Extracting #4: cost 9 inf + 977 52.193 * * [simplify]: Extracting #5: cost 2 inf + 1790 52.193 * * [simplify]: Extracting #6: cost 0 inf + 2195 52.194 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 52.194 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (pow k -1/2))) 52.194 * * * * [progress]: [ 23 / 118 ] simplifiying candidate # 52.194 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 52.194 * * [simplify]: iters left: 5 (8 enodes) 52.197 * * [simplify]: iters left: 4 (31 enodes) 52.202 * * [simplify]: iters left: 3 (45 enodes) 52.208 * * [simplify]: iters left: 2 (51 enodes) 52.220 * * [simplify]: iters left: 1 (52 enodes) 52.230 * * [simplify]: Extracting #0: cost 1 inf + 0 52.230 * * [simplify]: Extracting #1: cost 8 inf + 0 52.230 * * [simplify]: Extracting #2: cost 18 inf + 0 52.230 * * [simplify]: Extracting #3: cost 19 inf + 2 52.230 * * [simplify]: Extracting #4: cost 9 inf + 697 52.231 * * [simplify]: Extracting #5: cost 2 inf + 1390 52.231 * * [simplify]: Extracting #6: cost 0 inf + 1715 52.231 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 52.231 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (pow k -1/2))) 52.232 * * * * [progress]: [ 24 / 118 ] simplifiying candidate # 52.232 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 52.232 * * [simplify]: iters left: 5 (7 enodes) 52.234 * * [simplify]: iters left: 4 (29 enodes) 52.239 * * [simplify]: iters left: 3 (43 enodes) 52.245 * * [simplify]: iters left: 2 (47 enodes) 52.253 * * [simplify]: Extracting #0: cost 1 inf + 0 52.253 * * [simplify]: Extracting #1: cost 7 inf + 0 52.253 * * [simplify]: Extracting #2: cost 11 inf + 2 52.253 * * [simplify]: Extracting #3: cost 13 inf + 3 52.253 * * [simplify]: Extracting #4: cost 11 inf + 45 52.253 * * [simplify]: Extracting #5: cost 0 inf + 1066 52.253 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 52.253 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow k -1/2))) 52.253 * * * * [progress]: [ 25 / 118 ] simplifiying candidate # 52.254 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 52.254 * * [simplify]: iters left: 5 (7 enodes) 52.256 * * [simplify]: iters left: 4 (28 enodes) 52.263 * * [simplify]: iters left: 3 (39 enodes) 52.274 * * [simplify]: iters left: 2 (43 enodes) 52.281 * * [simplify]: Extracting #0: cost 1 inf + 0 52.281 * * [simplify]: Extracting #1: cost 7 inf + 0 52.281 * * [simplify]: Extracting #2: cost 16 inf + 0 52.281 * * [simplify]: Extracting #3: cost 15 inf + 164 52.281 * * [simplify]: Extracting #4: cost 13 inf + 287 52.281 * * [simplify]: Extracting #5: cost 5 inf + 1180 52.281 * * [simplify]: Extracting #6: cost 0 inf + 1951 52.282 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 52.282 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (pow k -1/2))) 52.282 * * * * [progress]: [ 26 / 118 ] simplifiying candidate # 52.282 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 52.282 * * [simplify]: iters left: 5 (7 enodes) 52.284 * * [simplify]: iters left: 4 (28 enodes) 52.289 * * [simplify]: iters left: 3 (39 enodes) 52.295 * * [simplify]: iters left: 2 (43 enodes) 52.301 * * [simplify]: Extracting #0: cost 1 inf + 0 52.301 * * [simplify]: Extracting #1: cost 7 inf + 0 52.301 * * [simplify]: Extracting #2: cost 16 inf + 0 52.301 * * [simplify]: Extracting #3: cost 15 inf + 84 52.301 * * [simplify]: Extracting #4: cost 13 inf + 167 52.302 * * [simplify]: Extracting #5: cost 5 inf + 900 52.302 * * [simplify]: Extracting #6: cost 0 inf + 1551 52.302 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 52.302 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (pow k -1/2))) 52.302 * * * * [progress]: [ 27 / 118 ] simplifiying candidate # 52.303 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 52.303 * * [simplify]: iters left: 5 (6 enodes) 52.307 * * [simplify]: iters left: 4 (26 enodes) 52.315 * * [simplify]: iters left: 3 (35 enodes) 52.322 * * [simplify]: Extracting #0: cost 1 inf + 0 52.322 * * [simplify]: Extracting #1: cost 6 inf + 0 52.322 * * [simplify]: Extracting #2: cost 9 inf + 2 52.322 * * [simplify]: Extracting #3: cost 11 inf + 3 52.322 * * [simplify]: Extracting #4: cost 10 inf + 4 52.322 * * [simplify]: Extracting #5: cost 3 inf + 535 52.323 * * [simplify]: Extracting #6: cost 0 inf + 822 52.323 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 52.323 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow k -1/2))) 52.323 * * * * [progress]: [ 28 / 118 ] simplifiying candidate # 52.323 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 52.323 * * [simplify]: iters left: 4 (6 enodes) 52.325 * * [simplify]: iters left: 3 (25 enodes) 52.330 * * [simplify]: iters left: 2 (36 enodes) 52.335 * * [simplify]: iters left: 1 (40 enodes) 52.341 * * [simplify]: Extracting #0: cost 1 inf + 0 52.341 * * [simplify]: Extracting #1: cost 7 inf + 0 52.341 * * [simplify]: Extracting #2: cost 16 inf + 0 52.341 * * [simplify]: Extracting #3: cost 13 inf + 44 52.342 * * [simplify]: Extracting #4: cost 3 inf + 1103 52.342 * * [simplify]: Extracting #5: cost 0 inf + 1469 52.342 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 52.342 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (pow k -1/2))) 52.342 * * * * [progress]: [ 29 / 118 ] simplifiying candidate # 52.342 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 52.342 * * [simplify]: iters left: 4 (6 enodes) 52.346 * * [simplify]: iters left: 3 (25 enodes) 52.350 * * [simplify]: iters left: 2 (36 enodes) 52.362 * * [simplify]: iters left: 1 (40 enodes) 52.374 * * [simplify]: Extracting #0: cost 1 inf + 0 52.374 * * [simplify]: Extracting #1: cost 7 inf + 0 52.374 * * [simplify]: Extracting #2: cost 16 inf + 0 52.374 * * [simplify]: Extracting #3: cost 13 inf + 44 52.374 * * [simplify]: Extracting #4: cost 3 inf + 823 52.375 * * [simplify]: Extracting #5: cost 0 inf + 1069 52.375 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 52.375 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (pow k -1/2))) 52.376 * * * * [progress]: [ 30 / 118 ] simplifiying candidate # 52.376 * [simplify]: Simplifying (/ (- 1 k) 2) 52.376 * * [simplify]: iters left: 4 (5 enodes) 52.380 * * [simplify]: iters left: 3 (23 enodes) 52.387 * * [simplify]: iters left: 2 (32 enodes) 52.397 * * [simplify]: Extracting #0: cost 1 inf + 0 52.397 * * [simplify]: Extracting #1: cost 6 inf + 0 52.397 * * [simplify]: Extracting #2: cost 9 inf + 2 52.397 * * [simplify]: Extracting #3: cost 6 inf + 87 52.398 * * [simplify]: Extracting #4: cost 0 inf + 420 52.398 * [simplify]: Simplified to (/ (- 1 k) 2) 52.398 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (pow k -1/2))) 52.398 * * * * [progress]: [ 31 / 118 ] simplifiying candidate # 52.398 * [simplify]: Simplifying (/ (- 1 k) 2) 52.398 * * [simplify]: iters left: 4 (5 enodes) 52.402 * * [simplify]: iters left: 3 (23 enodes) 52.410 * * [simplify]: iters left: 2 (32 enodes) 52.419 * * [simplify]: Extracting #0: cost 1 inf + 0 52.419 * * [simplify]: Extracting #1: cost 6 inf + 0 52.419 * * [simplify]: Extracting #2: cost 9 inf + 2 52.419 * * [simplify]: Extracting #3: cost 6 inf + 87 52.420 * * [simplify]: Extracting #4: cost 0 inf + 420 52.420 * [simplify]: Simplified to (/ (- 1 k) 2) 52.420 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (pow k -1/2))) 52.420 * * * * [progress]: [ 32 / 118 ] simplifiying candidate # 52.420 * [simplify]: Simplifying (/ 1 2) 52.420 * * [simplify]: iters left: 2 (3 enodes) 52.424 * * [simplify]: iters left: 1 (12 enodes) 52.429 * * [simplify]: Extracting #0: cost 1 inf + 0 52.429 * * [simplify]: Extracting #1: cost 0 inf + 1 52.429 * [simplify]: Simplified to 1/2 52.429 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (pow k -1/2))) 52.429 * * * * [progress]: [ 33 / 118 ] simplifiying candidate # 52.429 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 52.429 * * [simplify]: iters left: 5 (7 enodes) 52.435 * * [simplify]: iters left: 4 (32 enodes) 52.446 * * [simplify]: iters left: 3 (57 enodes) 52.464 * * [simplify]: iters left: 2 (88 enodes) 52.496 * * [simplify]: iters left: 1 (156 enodes) 52.539 * * [simplify]: Extracting #0: cost 1 inf + 0 52.539 * * [simplify]: Extracting #1: cost 13 inf + 0 52.539 * * [simplify]: Extracting #2: cost 49 inf + 2 52.539 * * [simplify]: Extracting #3: cost 80 inf + 6 52.540 * * [simplify]: Extracting #4: cost 58 inf + 1840 52.541 * * [simplify]: Extracting #5: cost 22 inf + 9206 52.544 * * [simplify]: Extracting #6: cost 1 inf + 20886 52.547 * * [simplify]: Extracting #7: cost 0 inf + 21301 52.550 * * [simplify]: Extracting #8: cost 0 inf + 21130 52.553 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 52.553 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow k -1/2))) 52.553 * * * * [progress]: [ 34 / 118 ] simplifiying candidate # 52.553 * * * * [progress]: [ 35 / 118 ] simplifiying candidate # 52.553 * * * * [progress]: [ 36 / 118 ] simplifiying candidate # 52.553 * * * * [progress]: [ 37 / 118 ] simplifiying candidate # 52.554 * * * * [progress]: [ 38 / 118 ] simplifiying candidate # 52.554 * * * * [progress]: [ 39 / 118 ] simplifiying candidate # 52.554 * * * * [progress]: [ 40 / 118 ] simplifiying candidate # 52.554 * * * * [progress]: [ 41 / 118 ] simplifiying candidate # 52.554 * * * * [progress]: [ 42 / 118 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (pow k -1/2)))> 52.554 * * * * [progress]: [ 43 / 118 ] simplifiying candidate # 52.554 * * * * [progress]: [ 44 / 118 ] simplifiying candidate # 52.554 * * * * [progress]: [ 45 / 118 ] simplifiying candidate # 52.554 * [simplify]: Simplifying (* n (* 2 PI)) 52.554 * * [simplify]: iters left: 4 (5 enodes) 52.556 * * [simplify]: iters left: 3 (19 enodes) 52.559 * * [simplify]: iters left: 2 (27 enodes) 52.563 * * [simplify]: iters left: 1 (32 enodes) 52.567 * * [simplify]: Extracting #0: cost 1 inf + 0 52.567 * * [simplify]: Extracting #1: cost 8 inf + 0 52.567 * * [simplify]: Extracting #2: cost 7 inf + 45 52.567 * * [simplify]: Extracting #3: cost 0 inf + 421 52.567 * [simplify]: Simplified to (* (* PI 2) n) 52.567 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (pow k -1/2))) 52.567 * * * * [progress]: [ 46 / 118 ] simplifiying candidate # 52.567 * [simplify]: Simplifying (* n (* 2 PI)) 52.567 * * [simplify]: iters left: 4 (5 enodes) 52.569 * * [simplify]: iters left: 3 (19 enodes) 52.572 * * [simplify]: iters left: 2 (27 enodes) 52.576 * * [simplify]: iters left: 1 (32 enodes) 52.582 * * [simplify]: Extracting #0: cost 1 inf + 0 52.582 * * [simplify]: Extracting #1: cost 8 inf + 0 52.582 * * [simplify]: Extracting #2: cost 7 inf + 45 52.582 * * [simplify]: Extracting #3: cost 0 inf + 421 52.582 * [simplify]: Simplified to (* (* PI 2) n) 52.582 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (pow k -1/2))) 52.582 * * * * [progress]: [ 47 / 118 ] simplifiying candidate # 52.582 * * * * [progress]: [ 48 / 118 ] simplifiying candidate # 52.583 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 52.583 * * [simplify]: iters left: 5 (8 enodes) 52.585 * * [simplify]: iters left: 4 (28 enodes) 52.589 * * [simplify]: iters left: 3 (36 enodes) 52.599 * * [simplify]: iters left: 2 (42 enodes) 52.611 * * [simplify]: Extracting #0: cost 1 inf + 0 52.611 * * [simplify]: Extracting #1: cost 8 inf + 0 52.611 * * [simplify]: Extracting #2: cost 17 inf + 0 52.611 * * [simplify]: Extracting #3: cost 12 inf + 145 52.611 * * [simplify]: Extracting #4: cost 5 inf + 1197 52.612 * * [simplify]: Extracting #5: cost 1 inf + 1925 52.613 * * [simplify]: Extracting #6: cost 0 inf + 2107 52.613 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 52.613 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (pow k -1/2))) 52.613 * * * * [progress]: [ 49 / 118 ] simplifiying candidate # 52.614 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 52.614 * * [simplify]: iters left: 5 (7 enodes) 52.618 * * [simplify]: iters left: 4 (26 enodes) 52.626 * * [simplify]: iters left: 3 (35 enodes) 52.636 * * [simplify]: iters left: 2 (44 enodes) 52.648 * * [simplify]: Extracting #0: cost 1 inf + 0 52.648 * * [simplify]: Extracting #1: cost 8 inf + 0 52.648 * * [simplify]: Extracting #2: cost 18 inf + 0 52.648 * * [simplify]: Extracting #3: cost 15 inf + 74 52.648 * * [simplify]: Extracting #4: cost 8 inf + 554 52.649 * * [simplify]: Extracting #5: cost 0 inf + 1911 52.649 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 52.649 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2))) 52.649 * * * * [progress]: [ 50 / 118 ] simplifiying candidate # 52.649 * * * * [progress]: [ 51 / 118 ] simplifiying candidate # 52.650 * * * * [progress]: [ 52 / 118 ] simplifiying candidate # 52.650 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 52.650 * * [simplify]: iters left: 6 (11 enodes) 52.658 * * [simplify]: iters left: 5 (48 enodes) 52.676 * * [simplify]: iters left: 4 (121 enodes) 52.727 * * [simplify]: iters left: 3 (348 enodes) 52.903 * * [simplify]: Extracting #0: cost 1 inf + 0 52.903 * * [simplify]: Extracting #1: cost 67 inf + 0 52.903 * * [simplify]: Extracting #2: cost 165 inf + 786 52.906 * * [simplify]: Extracting #3: cost 85 inf + 10177 52.921 * * [simplify]: Extracting #4: cost 9 inf + 26399 52.932 * * [simplify]: Extracting #5: cost 0 inf + 28546 52.939 * * [simplify]: Extracting #6: cost 0 inf + 28506 52.945 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 52.945 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (pow k -1/2))) 52.945 * * * * [progress]: [ 53 / 118 ] simplifiying candidate # 52.945 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 52.945 * * [simplify]: iters left: 6 (9 enodes) 52.948 * * [simplify]: iters left: 5 (45 enodes) 52.957 * * [simplify]: iters left: 4 (117 enodes) 52.998 * * [simplify]: iters left: 3 (374 enodes) 53.304 * * [simplify]: Extracting #0: cost 1 inf + 0 53.305 * * [simplify]: Extracting #1: cost 77 inf + 0 53.307 * * [simplify]: Extracting #2: cost 184 inf + 984 53.314 * * [simplify]: Extracting #3: cost 106 inf + 11690 53.327 * * [simplify]: Extracting #4: cost 6 inf + 30376 53.336 * * [simplify]: Extracting #5: cost 0 inf + 31644 53.345 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 53.345 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (pow k -1/2))) 53.345 * * * * [progress]: [ 54 / 118 ] simplifiying candidate # 53.345 * * * * [progress]: [ 55 / 118 ] simplifiying candidate # 53.345 * * * * [progress]: [ 56 / 118 ] simplifiying candidate # 53.345 * * * * [progress]: [ 57 / 118 ] simplifiying candidate # 53.346 * * * * [progress]: [ 58 / 118 ] simplifiying candidate # 53.346 * * * * [progress]: [ 59 / 118 ] simplifiying candidate # 53.346 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 53.346 * * [simplify]: iters left: 3 (3 enodes) 53.346 * * [simplify]: iters left: 2 (9 enodes) 53.348 * * [simplify]: Extracting #0: cost 1 inf + 0 53.348 * * [simplify]: Extracting #1: cost 3 inf + 0 53.348 * * [simplify]: Extracting #2: cost 5 inf + 0 53.348 * * [simplify]: Extracting #3: cost 4 inf + 1 53.348 * * [simplify]: Extracting #4: cost 0 inf + 405 53.348 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 53.348 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (pow k -1/2))) 53.348 * * * * [progress]: [ 60 / 118 ] simplifiying candidate # 53.348 * [simplify]: Simplifying (sqrt n) 53.348 * * [simplify]: iters left: 1 (2 enodes) 53.349 * * [simplify]: Extracting #0: cost 1 inf + 0 53.349 * * [simplify]: Extracting #1: cost 3 inf + 0 53.349 * * [simplify]: Extracting #2: cost 2 inf + 1 53.349 * * [simplify]: Extracting #3: cost 0 inf + 83 53.349 * [simplify]: Simplified to (sqrt n) 53.349 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (pow k -1/2))) 53.349 * * * * [progress]: [ 61 / 118 ] simplifiying candidate # 53.349 * * * * [progress]: [ 62 / 118 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))> 53.349 * * * * [progress]: [ 63 / 118 ] simplifiying candidate # 53.349 * * * * [progress]: [ 64 / 118 ] simplifiying candidate # 53.349 * * * * [progress]: [ 65 / 118 ] simplifiying candidate # 53.349 * * * * [progress]: [ 66 / 118 ] simplifiying candidate # 53.349 * * * * [progress]: [ 67 / 118 ] simplifiying candidate # 53.349 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 53.349 * * [simplify]: iters left: 6 (17 enodes) 53.354 * * [simplify]: iters left: 5 (69 enodes) 53.377 * * [simplify]: iters left: 4 (115 enodes) 53.428 * * [simplify]: iters left: 3 (296 enodes) 53.562 * * [simplify]: Extracting #0: cost 1 inf + 0 53.563 * * [simplify]: Extracting #1: cost 28 inf + 0 53.563 * * [simplify]: Extracting #2: cost 82 inf + 1 53.564 * * [simplify]: Extracting #3: cost 126 inf + 148 53.567 * * [simplify]: Extracting #4: cost 112 inf + 6630 53.580 * * [simplify]: Extracting #5: cost 9 inf + 36683 53.597 * * [simplify]: Extracting #6: cost 0 inf + 39789 53.614 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2)) 53.614 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2)))) 53.614 * * * * [progress]: [ 68 / 118 ] simplifiying candidate # 53.614 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 53.615 * * [simplify]: iters left: 6 (17 enodes) 53.624 * * [simplify]: iters left: 5 (69 enodes) 53.646 * * [simplify]: iters left: 4 (115 enodes) 53.682 * * [simplify]: iters left: 3 (296 enodes) 53.801 * * [simplify]: Extracting #0: cost 1 inf + 0 53.801 * * [simplify]: Extracting #1: cost 28 inf + 0 53.802 * * [simplify]: Extracting #2: cost 82 inf + 1 53.802 * * [simplify]: Extracting #3: cost 126 inf + 148 53.804 * * [simplify]: Extracting #4: cost 112 inf + 6630 53.810 * * [simplify]: Extracting #5: cost 9 inf + 36683 53.823 * * [simplify]: Extracting #6: cost 0 inf + 39789 53.844 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2)) 53.844 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2)))) 53.844 * * * * [progress]: [ 69 / 118 ] simplifiying candidate # 53.845 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (pow k -1/2))) 53.845 * * [simplify]: iters left: 6 (17 enodes) 53.853 * * [simplify]: iters left: 5 (74 enodes) 53.867 * * [simplify]: iters left: 4 (136 enodes) 53.908 * * [simplify]: iters left: 3 (358 enodes) 54.037 * * [simplify]: Extracting #0: cost 1 inf + 0 54.037 * * [simplify]: Extracting #1: cost 34 inf + 0 54.037 * * [simplify]: Extracting #2: cost 114 inf + 2 54.038 * * [simplify]: Extracting #3: cost 153 inf + 1769 54.040 * * [simplify]: Extracting #4: cost 136 inf + 12123 54.047 * * [simplify]: Extracting #5: cost 37 inf + 41017 54.058 * * [simplify]: Extracting #6: cost 0 inf + 54823 54.079 * * [simplify]: Extracting #7: cost 0 inf + 54817 54.101 * [simplify]: Simplified to (fma (log k) -1/2 (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2)) 54.101 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2)))) 54.101 * * * * [progress]: [ 70 / 118 ] simplifiying candidate # 54.101 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 54.102 * * [simplify]: iters left: 6 (16 enodes) 54.111 * * [simplify]: iters left: 5 (67 enodes) 54.126 * * [simplify]: iters left: 4 (108 enodes) 54.146 * * [simplify]: iters left: 3 (240 enodes) 54.229 * * [simplify]: Extracting #0: cost 1 inf + 0 54.230 * * [simplify]: Extracting #1: cost 25 inf + 0 54.230 * * [simplify]: Extracting #2: cost 74 inf + 1 54.231 * * [simplify]: Extracting #3: cost 112 inf + 261 54.232 * * [simplify]: Extracting #4: cost 91 inf + 8198 54.237 * * [simplify]: Extracting #5: cost 28 inf + 24140 54.243 * * [simplify]: Extracting #6: cost 5 inf + 31172 54.250 * * [simplify]: Extracting #7: cost 0 inf + 32347 54.258 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) 54.258 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)))) 54.258 * * * * [progress]: [ 71 / 118 ] simplifiying candidate # 54.258 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 54.258 * * [simplify]: iters left: 6 (16 enodes) 54.264 * * [simplify]: iters left: 5 (67 enodes) 54.283 * * [simplify]: iters left: 4 (108 enodes) 54.305 * * [simplify]: iters left: 3 (240 enodes) 54.402 * * [simplify]: Extracting #0: cost 1 inf + 0 54.402 * * [simplify]: Extracting #1: cost 25 inf + 0 54.403 * * [simplify]: Extracting #2: cost 74 inf + 1 54.404 * * [simplify]: Extracting #3: cost 112 inf + 261 54.407 * * [simplify]: Extracting #4: cost 91 inf + 8198 54.415 * * [simplify]: Extracting #5: cost 28 inf + 24140 54.421 * * [simplify]: Extracting #6: cost 5 inf + 31172 54.428 * * [simplify]: Extracting #7: cost 0 inf + 32347 54.436 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) 54.436 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)))) 54.436 * * * * [progress]: [ 72 / 118 ] simplifiying candidate # 54.436 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2))) 54.436 * * [simplify]: iters left: 6 (16 enodes) 54.441 * * [simplify]: iters left: 5 (72 enodes) 54.460 * * [simplify]: iters left: 4 (129 enodes) 54.508 * * [simplify]: iters left: 3 (301 enodes) 54.625 * * [simplify]: Extracting #0: cost 1 inf + 0 54.625 * * [simplify]: Extracting #1: cost 27 inf + 0 54.625 * * [simplify]: Extracting #2: cost 90 inf + 2 54.625 * * [simplify]: Extracting #3: cost 137 inf + 386 54.627 * * [simplify]: Extracting #4: cost 125 inf + 7978 54.631 * * [simplify]: Extracting #5: cost 47 inf + 29279 54.643 * * [simplify]: Extracting #6: cost 5 inf + 40891 54.660 * * [simplify]: Extracting #7: cost 0 inf + 42553 54.673 * * [simplify]: Extracting #8: cost 0 inf + 42513 54.685 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) 54.685 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)))) 54.685 * * * * [progress]: [ 73 / 118 ] simplifiying candidate # 54.685 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 54.685 * * [simplify]: iters left: 6 (15 enodes) 54.690 * * [simplify]: iters left: 5 (66 enodes) 54.702 * * [simplify]: iters left: 4 (115 enodes) 54.722 * * [simplify]: iters left: 3 (227 enodes) 54.814 * * [simplify]: Extracting #0: cost 1 inf + 0 54.814 * * [simplify]: Extracting #1: cost 21 inf + 0 54.814 * * [simplify]: Extracting #2: cost 77 inf + 1 54.815 * * [simplify]: Extracting #3: cost 116 inf + 119 54.817 * * [simplify]: Extracting #4: cost 112 inf + 3893 54.825 * * [simplify]: Extracting #5: cost 22 inf + 22777 54.838 * * [simplify]: Extracting #6: cost 0 inf + 29271 54.852 * * [simplify]: Extracting #7: cost 0 inf + 29267 54.865 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 54.865 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 54.865 * * * * [progress]: [ 74 / 118 ] simplifiying candidate # 54.865 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 54.865 * * [simplify]: iters left: 6 (15 enodes) 54.875 * * [simplify]: iters left: 5 (66 enodes) 54.900 * * [simplify]: iters left: 4 (115 enodes) 54.939 * * [simplify]: iters left: 3 (227 enodes) 55.023 * * [simplify]: Extracting #0: cost 1 inf + 0 55.023 * * [simplify]: Extracting #1: cost 21 inf + 0 55.024 * * [simplify]: Extracting #2: cost 77 inf + 1 55.024 * * [simplify]: Extracting #3: cost 116 inf + 119 55.026 * * [simplify]: Extracting #4: cost 112 inf + 3893 55.034 * * [simplify]: Extracting #5: cost 22 inf + 22777 55.046 * * [simplify]: Extracting #6: cost 0 inf + 29271 55.057 * * [simplify]: Extracting #7: cost 0 inf + 29267 55.063 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 55.063 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 55.063 * * * * [progress]: [ 75 / 118 ] simplifiying candidate # 55.063 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2))) 55.063 * * [simplify]: iters left: 6 (15 enodes) 55.068 * * [simplify]: iters left: 5 (71 enodes) 55.081 * * [simplify]: iters left: 4 (136 enodes) 55.132 * * [simplify]: iters left: 3 (288 enodes) 55.243 * * [simplify]: Extracting #0: cost 1 inf + 0 55.243 * * [simplify]: Extracting #1: cost 23 inf + 0 55.243 * * [simplify]: Extracting #2: cost 90 inf + 2 55.244 * * [simplify]: Extracting #3: cost 138 inf + 245 55.247 * * [simplify]: Extracting #4: cost 128 inf + 7351 55.250 * * [simplify]: Extracting #5: cost 67 inf + 19338 55.256 * * [simplify]: Extracting #6: cost 4 inf + 36710 55.264 * * [simplify]: Extracting #7: cost 0 inf + 37798 55.271 * [simplify]: Simplified to (fma (log k) -1/2 (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 55.271 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 55.271 * * * * [progress]: [ 76 / 118 ] simplifiying candidate # 55.271 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 55.271 * * [simplify]: iters left: 6 (15 enodes) 55.277 * * [simplify]: iters left: 5 (66 enodes) 55.297 * * [simplify]: iters left: 4 (115 enodes) 55.320 * * [simplify]: iters left: 3 (227 enodes) 55.392 * * [simplify]: Extracting #0: cost 1 inf + 0 55.392 * * [simplify]: Extracting #1: cost 21 inf + 0 55.392 * * [simplify]: Extracting #2: cost 77 inf + 1 55.393 * * [simplify]: Extracting #3: cost 116 inf + 119 55.395 * * [simplify]: Extracting #4: cost 112 inf + 3893 55.403 * * [simplify]: Extracting #5: cost 22 inf + 22777 55.419 * * [simplify]: Extracting #6: cost 0 inf + 29271 55.431 * * [simplify]: Extracting #7: cost 0 inf + 29267 55.444 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 55.444 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 55.444 * * * * [progress]: [ 77 / 118 ] simplifiying candidate # 55.445 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 55.445 * * [simplify]: iters left: 6 (15 enodes) 55.454 * * [simplify]: iters left: 5 (66 enodes) 55.476 * * [simplify]: iters left: 4 (115 enodes) 55.515 * * [simplify]: iters left: 3 (227 enodes) 55.599 * * [simplify]: Extracting #0: cost 1 inf + 0 55.599 * * [simplify]: Extracting #1: cost 21 inf + 0 55.600 * * [simplify]: Extracting #2: cost 77 inf + 1 55.600 * * [simplify]: Extracting #3: cost 116 inf + 119 55.602 * * [simplify]: Extracting #4: cost 112 inf + 3893 55.610 * * [simplify]: Extracting #5: cost 22 inf + 22777 55.622 * * [simplify]: Extracting #6: cost 0 inf + 29271 55.636 * * [simplify]: Extracting #7: cost 0 inf + 29267 55.649 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 55.649 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 55.649 * * * * [progress]: [ 78 / 118 ] simplifiying candidate # 55.649 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2))) 55.649 * * [simplify]: iters left: 6 (15 enodes) 55.662 * * [simplify]: iters left: 5 (71 enodes) 55.688 * * [simplify]: iters left: 4 (136 enodes) 55.719 * * [simplify]: iters left: 3 (288 enodes) 55.808 * * [simplify]: Extracting #0: cost 1 inf + 0 55.808 * * [simplify]: Extracting #1: cost 23 inf + 0 55.808 * * [simplify]: Extracting #2: cost 90 inf + 2 55.809 * * [simplify]: Extracting #3: cost 138 inf + 245 55.812 * * [simplify]: Extracting #4: cost 128 inf + 7351 55.819 * * [simplify]: Extracting #5: cost 67 inf + 19338 55.827 * * [simplify]: Extracting #6: cost 4 inf + 36710 55.835 * * [simplify]: Extracting #7: cost 0 inf + 37798 55.846 * [simplify]: Simplified to (fma (log k) -1/2 (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 55.846 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 55.846 * * * * [progress]: [ 79 / 118 ] simplifiying candidate # 55.846 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (log k) -1/2)) 55.846 * * [simplify]: iters left: 6 (15 enodes) 55.851 * * [simplify]: iters left: 5 (64 enodes) 55.870 * * [simplify]: iters left: 4 (114 enodes) 55.889 * * [simplify]: iters left: 3 (219 enodes) 55.977 * * [simplify]: Extracting #0: cost 1 inf + 0 55.977 * * [simplify]: Extracting #1: cost 20 inf + 0 55.977 * * [simplify]: Extracting #2: cost 102 inf + 1 55.978 * * [simplify]: Extracting #3: cost 158 inf + 77 55.980 * * [simplify]: Extracting #4: cost 153 inf + 1729 55.985 * * [simplify]: Extracting #5: cost 59 inf + 18516 55.996 * * [simplify]: Extracting #6: cost 3 inf + 36403 56.003 * * [simplify]: Extracting #7: cost 0 inf + 37672 56.010 * [simplify]: Simplified to (fma -1/2 (log k) (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))) 56.010 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))))) 56.010 * * * * [progress]: [ 80 / 118 ] simplifiying candidate # 56.010 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (log k) -1/2)) 56.010 * * [simplify]: iters left: 6 (15 enodes) 56.015 * * [simplify]: iters left: 5 (64 enodes) 56.028 * * [simplify]: iters left: 4 (114 enodes) 56.066 * * [simplify]: iters left: 3 (219 enodes) 56.154 * * [simplify]: Extracting #0: cost 1 inf + 0 56.155 * * [simplify]: Extracting #1: cost 20 inf + 0 56.155 * * [simplify]: Extracting #2: cost 102 inf + 1 56.155 * * [simplify]: Extracting #3: cost 158 inf + 77 56.156 * * [simplify]: Extracting #4: cost 153 inf + 1729 56.159 * * [simplify]: Extracting #5: cost 59 inf + 18516 56.165 * * [simplify]: Extracting #6: cost 3 inf + 36403 56.171 * * [simplify]: Extracting #7: cost 0 inf + 37672 56.184 * [simplify]: Simplified to (fma -1/2 (log k) (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))) 56.184 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))))) 56.184 * * * * [progress]: [ 81 / 118 ] simplifiying candidate # 56.184 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (pow k -1/2))) 56.184 * * [simplify]: iters left: 6 (15 enodes) 56.193 * * [simplify]: iters left: 5 (69 enodes) 56.218 * * [simplify]: iters left: 4 (135 enodes) 56.245 * * [simplify]: iters left: 3 (275 enodes) 56.335 * * [simplify]: Extracting #0: cost 1 inf + 0 56.335 * * [simplify]: Extracting #1: cost 25 inf + 0 56.336 * * [simplify]: Extracting #2: cost 127 inf + 2 56.336 * * [simplify]: Extracting #3: cost 188 inf + 416 56.338 * * [simplify]: Extracting #4: cost 121 inf + 18191 56.345 * * [simplify]: Extracting #5: cost 27 inf + 41295 56.353 * * [simplify]: Extracting #6: cost 3 inf + 47356 56.362 * * [simplify]: Extracting #7: cost 0 inf + 49197 56.371 * [simplify]: Simplified to (fma -1/2 (log k) (/ (* (log (* (* PI 2) n)) (- 1 k)) 2)) 56.371 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (* (log (* (* PI 2) n)) (- 1 k)) 2)))) 56.371 * * * * [progress]: [ 82 / 118 ] simplifiying candidate # 56.371 * * * * [progress]: [ 83 / 118 ] simplifiying candidate # 56.371 * * * * [progress]: [ 84 / 118 ] simplifiying candidate # 56.371 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2))) 56.372 * * [simplify]: iters left: 6 (17 enodes) 56.381 * * [simplify]: iters left: 5 (82 enodes) 56.400 * * [simplify]: iters left: 4 (191 enodes) 56.487 * * [simplify]: Extracting #0: cost 1 inf + 0 56.487 * * [simplify]: Extracting #1: cost 37 inf + 0 56.487 * * [simplify]: Extracting #2: cost 149 inf + 1 56.488 * * [simplify]: Extracting #3: cost 164 inf + 1227 56.489 * * [simplify]: Extracting #4: cost 143 inf + 7877 56.491 * * [simplify]: Extracting #5: cost 99 inf + 21139 56.501 * * [simplify]: Extracting #6: cost 16 inf + 78579 56.523 * * [simplify]: Extracting #7: cost 0 inf + 89084 56.545 * * [simplify]: Extracting #8: cost 0 inf + 88809 56.563 * [simplify]: Simplified to (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2))) 56.563 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2))))) 56.563 * * * * [progress]: [ 85 / 118 ] simplifiying candidate # 56.563 * * * * [progress]: [ 86 / 118 ] simplifiying candidate # 56.563 * * * * [progress]: [ 87 / 118 ] simplifiying candidate # 56.563 * * * * [progress]: [ 88 / 118 ] simplifiying candidate # 56.563 * * * * [progress]: [ 89 / 118 ] simplifiying candidate # 56.563 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) 56.563 * * [simplify]: iters left: 6 (15 enodes) 56.568 * * [simplify]: iters left: 5 (65 enodes) 56.580 * * [simplify]: iters left: 4 (115 enodes) 56.614 * * [simplify]: iters left: 3 (196 enodes) 56.679 * * [simplify]: iters left: 2 (351 enodes) 56.796 * * [simplify]: Extracting #0: cost 1 inf + 0 56.796 * * [simplify]: Extracting #1: cost 23 inf + 0 56.797 * * [simplify]: Extracting #2: cost 77 inf + 0 56.797 * * [simplify]: Extracting #3: cost 90 inf + 7 56.798 * * [simplify]: Extracting #4: cost 142 inf + 10 56.800 * * [simplify]: Extracting #5: cost 144 inf + 4587 56.808 * * [simplify]: Extracting #6: cost 61 inf + 38130 56.823 * * [simplify]: Extracting #7: cost 12 inf + 66391 56.844 * * [simplify]: Extracting #8: cost 0 inf + 74148 56.862 * * [simplify]: Extracting #9: cost 0 inf + 74108 56.880 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) 56.880 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)))) 56.880 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) 56.880 * * [simplify]: iters left: 6 (15 enodes) 56.890 * * [simplify]: iters left: 5 (65 enodes) 56.912 * * [simplify]: iters left: 4 (115 enodes) 56.952 * * [simplify]: iters left: 3 (196 enodes) 57.021 * * [simplify]: iters left: 2 (351 enodes) 57.146 * * [simplify]: Extracting #0: cost 1 inf + 0 57.146 * * [simplify]: Extracting #1: cost 23 inf + 0 57.147 * * [simplify]: Extracting #2: cost 77 inf + 0 57.147 * * [simplify]: Extracting #3: cost 90 inf + 7 57.148 * * [simplify]: Extracting #4: cost 142 inf + 10 57.148 * * [simplify]: Extracting #5: cost 144 inf + 4587 57.152 * * [simplify]: Extracting #6: cost 61 inf + 38130 57.160 * * [simplify]: Extracting #7: cost 12 inf + 66391 57.168 * * [simplify]: Extracting #8: cost 0 inf + 74148 57.179 * * [simplify]: Extracting #9: cost 0 inf + 74108 57.192 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) 57.192 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)))) 57.192 * * * * [progress]: [ 90 / 118 ] simplifiying candidate # 57.192 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) 57.192 * * [simplify]: iters left: 6 (15 enodes) 57.197 * * [simplify]: iters left: 5 (65 enodes) 57.211 * * [simplify]: iters left: 4 (112 enodes) 57.231 * * [simplify]: iters left: 3 (182 enodes) 57.263 * * [simplify]: iters left: 2 (308 enodes) 57.331 * * [simplify]: Extracting #0: cost 1 inf + 0 57.331 * * [simplify]: Extracting #1: cost 4 inf + 0 57.331 * * [simplify]: Extracting #2: cost 10 inf + 0 57.331 * * [simplify]: Extracting #3: cost 40 inf + 0 57.331 * * [simplify]: Extracting #4: cost 114 inf + 4 57.332 * * [simplify]: Extracting #5: cost 116 inf + 2872 57.334 * * [simplify]: Extracting #6: cost 49 inf + 20626 57.338 * * [simplify]: Extracting #7: cost 15 inf + 34343 57.344 * * [simplify]: Extracting #8: cost 0 inf + 43332 57.353 * * [simplify]: Extracting #9: cost 0 inf + 42527 57.361 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) 57.361 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))))) 57.361 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) 57.361 * * [simplify]: iters left: 6 (15 enodes) 57.368 * * [simplify]: iters left: 5 (65 enodes) 57.379 * * [simplify]: iters left: 4 (112 enodes) 57.399 * * [simplify]: iters left: 3 (182 enodes) 57.439 * * [simplify]: iters left: 2 (308 enodes) 57.514 * * [simplify]: Extracting #0: cost 1 inf + 0 57.514 * * [simplify]: Extracting #1: cost 4 inf + 0 57.514 * * [simplify]: Extracting #2: cost 10 inf + 0 57.515 * * [simplify]: Extracting #3: cost 40 inf + 0 57.515 * * [simplify]: Extracting #4: cost 114 inf + 4 57.516 * * [simplify]: Extracting #5: cost 116 inf + 2872 57.521 * * [simplify]: Extracting #6: cost 49 inf + 20626 57.529 * * [simplify]: Extracting #7: cost 15 inf + 34343 57.539 * * [simplify]: Extracting #8: cost 0 inf + 43332 57.549 * * [simplify]: Extracting #9: cost 0 inf + 42527 57.562 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) 57.562 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2))))) 57.562 * * * * [progress]: [ 91 / 118 ] simplifiying candidate # 57.562 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))) 57.562 * * [simplify]: iters left: 6 (15 enodes) 57.572 * * [simplify]: iters left: 5 (66 enodes) 57.593 * * [simplify]: iters left: 4 (121 enodes) 57.617 * * [simplify]: iters left: 3 (217 enodes) 57.685 * * [simplify]: iters left: 2 (372 enodes) 57.803 * * [simplify]: Extracting #0: cost 1 inf + 0 57.803 * * [simplify]: Extracting #1: cost 25 inf + 0 57.803 * * [simplify]: Extracting #2: cost 79 inf + 0 57.804 * * [simplify]: Extracting #3: cost 86 inf + 644 57.805 * * [simplify]: Extracting #4: cost 125 inf + 4695 57.808 * * [simplify]: Extracting #5: cost 122 inf + 12699 57.818 * * [simplify]: Extracting #6: cost 47 inf + 50641 57.834 * * [simplify]: Extracting #7: cost 0 inf + 71560 57.851 * * [simplify]: Extracting #8: cost 0 inf + 70898 57.868 * * [simplify]: Extracting #9: cost 0 inf + 70778 57.886 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow k -1/4)) 57.886 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow k -1/4)) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))))) 57.886 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))) 57.887 * * [simplify]: iters left: 6 (15 enodes) 57.896 * * [simplify]: iters left: 5 (66 enodes) 57.914 * * [simplify]: iters left: 4 (121 enodes) 57.949 * * [simplify]: iters left: 3 (217 enodes) 58.015 * * [simplify]: iters left: 2 (372 enodes) 58.098 * * [simplify]: Extracting #0: cost 1 inf + 0 58.098 * * [simplify]: Extracting #1: cost 25 inf + 0 58.098 * * [simplify]: Extracting #2: cost 79 inf + 0 58.099 * * [simplify]: Extracting #3: cost 86 inf + 644 58.100 * * [simplify]: Extracting #4: cost 125 inf + 4695 58.103 * * [simplify]: Extracting #5: cost 122 inf + 12699 58.112 * * [simplify]: Extracting #6: cost 47 inf + 50641 58.131 * * [simplify]: Extracting #7: cost 0 inf + 71560 58.141 * * [simplify]: Extracting #8: cost 0 inf + 70898 58.149 * * [simplify]: Extracting #9: cost 0 inf + 70778 58.157 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow k -1/4)) 58.157 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow k -1/4)))) 58.157 * * * * [progress]: [ 92 / 118 ] simplifiying candidate # 58.158 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)) 58.158 * * [simplify]: iters left: 6 (15 enodes) 58.163 * * [simplify]: iters left: 5 (68 enodes) 58.187 * * [simplify]: iters left: 4 (128 enodes) 58.224 * * [simplify]: iters left: 3 (255 enodes) 58.285 * * [simplify]: Extracting #0: cost 1 inf + 0 58.286 * * [simplify]: Extracting #1: cost 25 inf + 0 58.286 * * [simplify]: Extracting #2: cost 105 inf + 0 58.286 * * [simplify]: Extracting #3: cost 146 inf + 4 58.287 * * [simplify]: Extracting #4: cost 148 inf + 515 58.288 * * [simplify]: Extracting #5: cost 93 inf + 10540 58.299 * * [simplify]: Extracting #6: cost 15 inf + 59119 58.315 * * [simplify]: Extracting #7: cost 0 inf + 69937 58.331 * * [simplify]: Extracting #8: cost 0 inf + 69817 58.348 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)) 58.348 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)))) 58.349 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)) 58.349 * * [simplify]: iters left: 6 (15 enodes) 58.358 * * [simplify]: iters left: 5 (68 enodes) 58.382 * * [simplify]: iters left: 4 (128 enodes) 58.413 * * [simplify]: iters left: 3 (255 enodes) 58.516 * * [simplify]: Extracting #0: cost 1 inf + 0 58.516 * * [simplify]: Extracting #1: cost 25 inf + 0 58.517 * * [simplify]: Extracting #2: cost 105 inf + 0 58.518 * * [simplify]: Extracting #3: cost 146 inf + 4 58.519 * * [simplify]: Extracting #4: cost 148 inf + 515 58.522 * * [simplify]: Extracting #5: cost 93 inf + 10540 58.534 * * [simplify]: Extracting #6: cost 15 inf + 59119 58.548 * * [simplify]: Extracting #7: cost 0 inf + 69937 58.556 * * [simplify]: Extracting #8: cost 0 inf + 69817 58.564 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)) 58.564 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)))) 58.565 * * * * [progress]: [ 93 / 118 ] simplifiying candidate # 58.565 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) 58.565 * * [simplify]: iters left: 6 (15 enodes) 58.570 * * [simplify]: iters left: 5 (68 enodes) 58.586 * * [simplify]: iters left: 4 (121 enodes) 58.616 * * [simplify]: iters left: 3 (218 enodes) 58.662 * * [simplify]: iters left: 2 (424 enodes) 58.807 * * [simplify]: Extracting #0: cost 1 inf + 0 58.807 * * [simplify]: Extracting #1: cost 31 inf + 0 58.808 * * [simplify]: Extracting #2: cost 106 inf + 0 58.809 * * [simplify]: Extracting #3: cost 171 inf + 2 58.810 * * [simplify]: Extracting #4: cost 192 inf + 722 58.815 * * [simplify]: Extracting #5: cost 127 inf + 17763 58.824 * * [simplify]: Extracting #6: cost 41 inf + 58384 58.839 * * [simplify]: Extracting #7: cost 0 inf + 91463 58.852 * * [simplify]: Extracting #8: cost 0 inf + 91291 58.875 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (pow k -1/2))) 58.875 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (pow k -1/2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))))) 58.876 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) 58.876 * * [simplify]: iters left: 6 (15 enodes) 58.885 * * [simplify]: iters left: 5 (68 enodes) 58.910 * * [simplify]: iters left: 4 (121 enodes) 58.939 * * [simplify]: iters left: 3 (218 enodes) 58.999 * * [simplify]: iters left: 2 (424 enodes) 59.123 * * [simplify]: Extracting #0: cost 1 inf + 0 59.123 * * [simplify]: Extracting #1: cost 31 inf + 0 59.123 * * [simplify]: Extracting #2: cost 106 inf + 0 59.124 * * [simplify]: Extracting #3: cost 171 inf + 2 59.126 * * [simplify]: Extracting #4: cost 192 inf + 722 59.131 * * [simplify]: Extracting #5: cost 127 inf + 17763 59.146 * * [simplify]: Extracting #6: cost 41 inf + 58384 59.173 * * [simplify]: Extracting #7: cost 0 inf + 91463 59.197 * * [simplify]: Extracting #8: cost 0 inf + 91291 59.221 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (pow k -1/2))) 59.221 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (pow k -1/2))))) 59.221 * * * * [progress]: [ 94 / 118 ] simplifiying candidate # 59.221 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))) 59.221 * * [simplify]: iters left: 6 (15 enodes) 59.232 * * [simplify]: iters left: 5 (69 enodes) 59.259 * * [simplify]: iters left: 4 (134 enodes) 59.302 * * [simplify]: iters left: 3 (269 enodes) 59.382 * * [simplify]: Extracting #0: cost 1 inf + 0 59.382 * * [simplify]: Extracting #1: cost 32 inf + 0 59.382 * * [simplify]: Extracting #2: cost 112 inf + 0 59.383 * * [simplify]: Extracting #3: cost 145 inf + 218 59.384 * * [simplify]: Extracting #4: cost 127 inf + 4971 59.389 * * [simplify]: Extracting #5: cost 25 inf + 53274 59.408 * * [simplify]: Extracting #6: cost 0 inf + 68297 59.423 * * [simplify]: Extracting #7: cost 0 inf + 67655 59.431 * * [simplify]: Extracting #8: cost 0 inf + 67536 59.440 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4)) 59.440 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))))) 59.440 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))) 59.440 * * [simplify]: iters left: 6 (15 enodes) 59.446 * * [simplify]: iters left: 5 (69 enodes) 59.466 * * [simplify]: iters left: 4 (134 enodes) 59.497 * * [simplify]: iters left: 3 (269 enodes) 59.616 * * [simplify]: Extracting #0: cost 1 inf + 0 59.616 * * [simplify]: Extracting #1: cost 32 inf + 0 59.617 * * [simplify]: Extracting #2: cost 112 inf + 0 59.621 * * [simplify]: Extracting #3: cost 145 inf + 218 59.623 * * [simplify]: Extracting #4: cost 127 inf + 4971 59.632 * * [simplify]: Extracting #5: cost 25 inf + 53274 59.640 * * [simplify]: Extracting #6: cost 0 inf + 68297 59.649 * * [simplify]: Extracting #7: cost 0 inf + 67655 59.657 * * [simplify]: Extracting #8: cost 0 inf + 67536 59.671 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4)) 59.671 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4)))) 59.671 * * * * [progress]: [ 95 / 118 ] simplifiying candidate # 59.672 * [simplify]: Simplifying (pow (cbrt k) -1/2) 59.672 * * [simplify]: iters left: 2 (4 enodes) 59.675 * * [simplify]: iters left: 1 (17 enodes) 59.682 * * [simplify]: Extracting #0: cost 1 inf + 0 59.683 * * [simplify]: Extracting #1: cost 5 inf + 0 59.683 * * [simplify]: Extracting #2: cost 9 inf + 1 59.683 * * [simplify]: Extracting #3: cost 8 inf + 3 59.683 * * [simplify]: Extracting #4: cost 1 inf + 1334 59.683 * * [simplify]: Extracting #5: cost 0 inf + 1626 59.683 * [simplify]: Simplified to (pow (cbrt k) -1/2) 59.683 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* (cbrt k) (cbrt k)) -1/2)) (pow (cbrt k) -1/2))) 59.683 * * * * [progress]: [ 96 / 118 ] simplifiying candidate # 59.683 * [simplify]: Simplifying (pow (sqrt k) -1/2) 59.683 * * [simplify]: iters left: 2 (4 enodes) 59.685 * * [simplify]: iters left: 1 (17 enodes) 59.689 * * [simplify]: Extracting #0: cost 1 inf + 0 59.689 * * [simplify]: Extracting #1: cost 5 inf + 0 59.689 * * [simplify]: Extracting #2: cost 9 inf + 1 59.689 * * [simplify]: Extracting #3: cost 8 inf + 3 59.689 * * [simplify]: Extracting #4: cost 1 inf + 1094 59.690 * * [simplify]: Extracting #5: cost 0 inf + 1346 59.690 * [simplify]: Simplified to (pow (sqrt k) -1/2) 59.690 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (sqrt k) -1/2)) (pow (sqrt k) -1/2))) 59.690 * * * * [progress]: [ 97 / 118 ] simplifiying candidate # 59.690 * [simplify]: Simplifying (pow k -1/2) 59.690 * * [simplify]: iters left: 1 (3 enodes) 59.691 * * [simplify]: Extracting #0: cost 1 inf + 0 59.691 * * [simplify]: Extracting #1: cost 5 inf + 0 59.691 * * [simplify]: Extracting #2: cost 4 inf + 2 59.691 * * [simplify]: Extracting #3: cost 1 inf + 427 59.691 * * [simplify]: Extracting #4: cost 0 inf + 639 59.691 * [simplify]: Simplified to (pow k -1/2) 59.691 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow 1 -1/2)) (pow k -1/2))) 59.692 * * * * [progress]: [ 98 / 118 ] simplifiying candidate # 59.692 * [simplify]: Simplifying (cbrt (pow k -1/2)) 59.692 * * [simplify]: iters left: 2 (4 enodes) 59.693 * * [simplify]: iters left: 1 (17 enodes) 59.697 * * [simplify]: Extracting #0: cost 1 inf + 0 59.697 * * [simplify]: Extracting #1: cost 3 inf + 0 59.697 * * [simplify]: Extracting #2: cost 7 inf + 0 59.697 * * [simplify]: Extracting #3: cost 8 inf + 2 59.697 * * [simplify]: Extracting #4: cost 3 inf + 1223 59.697 * * [simplify]: Extracting #5: cost 1 inf + 1436 59.698 * * [simplify]: Extracting #6: cost 0 inf + 1648 59.698 * [simplify]: Simplified to (cbrt (pow k -1/2)) 59.698 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2)))) (cbrt (pow k -1/2)))) 59.698 * * * * [progress]: [ 99 / 118 ] simplifiying candidate # 59.698 * [simplify]: Simplifying (sqrt (pow k -1/2)) 59.698 * * [simplify]: iters left: 2 (4 enodes) 59.699 * * [simplify]: iters left: 1 (17 enodes) 59.703 * * [simplify]: Extracting #0: cost 1 inf + 0 59.703 * * [simplify]: Extracting #1: cost 4 inf + 0 59.703 * * [simplify]: Extracting #2: cost 10 inf + 0 59.703 * * [simplify]: Extracting #3: cost 8 inf + 3 59.703 * * [simplify]: Extracting #4: cost 1 inf + 1356 59.704 * * [simplify]: Extracting #5: cost 0 inf + 1568 59.704 * [simplify]: Simplified to (sqrt (pow k -1/2)) 59.704 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (pow k -1/2))) (sqrt (pow k -1/2)))) 59.704 * * * * [progress]: [ 100 / 118 ] simplifiying candidate # 59.704 * [simplify]: Simplifying (pow k -1/2) 59.704 * * [simplify]: iters left: 1 (3 enodes) 59.705 * * [simplify]: Extracting #0: cost 1 inf + 0 59.705 * * [simplify]: Extracting #1: cost 5 inf + 0 59.705 * * [simplify]: Extracting #2: cost 4 inf + 2 59.705 * * [simplify]: Extracting #3: cost 1 inf + 427 59.705 * * [simplify]: Extracting #4: cost 0 inf + 639 59.706 * [simplify]: Simplified to (pow k -1/2) 59.706 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (pow k -1/2))) 59.706 * * * * [progress]: [ 101 / 118 ] simplifiying candidate # 59.706 * [simplify]: Simplifying (pow k (/ -1/2 2)) 59.706 * * [simplify]: iters left: 3 (5 enodes) 59.708 * * [simplify]: iters left: 2 (20 enodes) 59.713 * * [simplify]: iters left: 1 (37 enodes) 59.724 * * [simplify]: Extracting #0: cost 1 inf + 0 59.724 * * [simplify]: Extracting #1: cost 9 inf + 0 59.725 * * [simplify]: Extracting #2: cost 12 inf + 2 59.725 * * [simplify]: Extracting #3: cost 7 inf + 852 59.725 * * [simplify]: Extracting #4: cost 0 inf + 2667 59.725 * [simplify]: Simplified to (pow k -1/4) 59.725 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k (/ -1/2 2))) (pow k -1/4))) 59.725 * * * * [progress]: [ 102 / 118 ] simplifiying candidate # 59.725 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 59.725 * * [simplify]: iters left: 5 (7 enodes) 59.728 * * [simplify]: iters left: 4 (32 enodes) 59.734 * * [simplify]: iters left: 3 (57 enodes) 59.745 * * [simplify]: iters left: 2 (88 enodes) 59.761 * * [simplify]: iters left: 1 (156 enodes) 59.807 * * [simplify]: Extracting #0: cost 1 inf + 0 59.807 * * [simplify]: Extracting #1: cost 13 inf + 0 59.807 * * [simplify]: Extracting #2: cost 49 inf + 2 59.808 * * [simplify]: Extracting #3: cost 80 inf + 6 59.808 * * [simplify]: Extracting #4: cost 58 inf + 1840 59.810 * * [simplify]: Extracting #5: cost 22 inf + 9206 59.812 * * [simplify]: Extracting #6: cost 1 inf + 20886 59.815 * * [simplify]: Extracting #7: cost 0 inf + 21301 59.819 * * [simplify]: Extracting #8: cost 0 inf + 21130 59.822 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 59.822 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow k -1/2)))) 59.822 * * * * [progress]: [ 103 / 118 ] simplifiying candidate # 59.822 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 59.822 * * [simplify]: iters left: 6 (12 enodes) 59.826 * * [simplify]: iters left: 5 (51 enodes) 59.839 * * [simplify]: iters left: 4 (84 enodes) 59.866 * * [simplify]: iters left: 3 (125 enodes) 59.903 * * [simplify]: iters left: 2 (198 enodes) 59.943 * * [simplify]: iters left: 1 (353 enodes) 60.072 * * [simplify]: Extracting #0: cost 1 inf + 0 60.072 * * [simplify]: Extracting #1: cost 3 inf + 0 60.072 * * [simplify]: Extracting #2: cost 5 inf + 0 60.072 * * [simplify]: Extracting #3: cost 28 inf + 0 60.073 * * [simplify]: Extracting #4: cost 101 inf + 1 60.074 * * [simplify]: Extracting #5: cost 136 inf + 176 60.075 * * [simplify]: Extracting #6: cost 126 inf + 1348 60.083 * * [simplify]: Extracting #7: cost 70 inf + 12457 60.097 * * [simplify]: Extracting #8: cost 19 inf + 42176 60.116 * * [simplify]: Extracting #9: cost 0 inf + 57297 60.135 * * [simplify]: Extracting #10: cost 0 inf + 56855 60.154 * * [simplify]: Extracting #11: cost 0 inf + 56816 60.173 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 60.174 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k -1/2)))) 60.174 * * * * [progress]: [ 104 / 118 ] simplifiying candidate # 60.174 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 60.174 * * [simplify]: iters left: 6 (11 enodes) 60.181 * * [simplify]: iters left: 5 (48 enodes) 60.196 * * [simplify]: iters left: 4 (78 enodes) 60.220 * * [simplify]: iters left: 3 (120 enodes) 60.243 * * [simplify]: iters left: 2 (211 enodes) 60.282 * * [simplify]: iters left: 1 (380 enodes) 60.442 * * [simplify]: Extracting #0: cost 1 inf + 0 60.442 * * [simplify]: Extracting #1: cost 4 inf + 0 60.442 * * [simplify]: Extracting #2: cost 29 inf + 0 60.443 * * [simplify]: Extracting #3: cost 113 inf + 1 60.444 * * [simplify]: Extracting #4: cost 155 inf + 220 60.446 * * [simplify]: Extracting #5: cost 153 inf + 561 60.448 * * [simplify]: Extracting #6: cost 121 inf + 2833 60.454 * * [simplify]: Extracting #7: cost 68 inf + 14038 60.468 * * [simplify]: Extracting #8: cost 15 inf + 50044 60.489 * * [simplify]: Extracting #9: cost 0 inf + 59395 60.509 * * [simplify]: Extracting #10: cost 0 inf + 59194 60.529 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 60.529 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k -1/2)))) 60.530 * * * * [progress]: [ 105 / 118 ] simplifiying candidate # 60.530 * * * * [progress]: [ 106 / 118 ] simplifiying candidate # 60.530 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 60.530 * * [simplify]: iters left: 6 (11 enodes) 60.537 * * [simplify]: iters left: 5 (51 enodes) 60.555 * * [simplify]: iters left: 4 (87 enodes) 60.588 * * [simplify]: iters left: 3 (143 enodes) 60.639 * * [simplify]: iters left: 2 (259 enodes) 61.061 * * [simplify]: iters left: 1 (469 enodes) 61.274 * * [simplify]: Extracting #0: cost 1 inf + 0 61.274 * * [simplify]: Extracting #1: cost 24 inf + 0 61.275 * * [simplify]: Extracting #2: cost 110 inf + 1 61.276 * * [simplify]: Extracting #3: cost 192 inf + 178 61.278 * * [simplify]: Extracting #4: cost 178 inf + 1845 61.285 * * [simplify]: Extracting #5: cost 89 inf + 12477 61.291 * * [simplify]: Extracting #6: cost 41 inf + 28219 61.301 * * [simplify]: Extracting #7: cost 4 inf + 58625 61.315 * * [simplify]: Extracting #8: cost 0 inf + 62670 61.328 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 61.328 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2)))) 61.328 * * * * [progress]: [ 107 / 118 ] simplifiying candidate # 61.328 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) (pow k -1/2)) 61.329 * * [simplify]: iters left: 6 (12 enodes) 61.337 * * [simplify]: iters left: 5 (52 enodes) 61.359 * * [simplify]: iters left: 4 (104 enodes) 61.386 * * [simplify]: iters left: 3 (223 enodes) 61.451 * * [simplify]: Extracting #0: cost 1 inf + 0 61.451 * * [simplify]: Extracting #1: cost 31 inf + 0 61.451 * * [simplify]: Extracting #2: cost 109 inf + 0 61.451 * * [simplify]: Extracting #3: cost 108 inf + 10 61.452 * * [simplify]: Extracting #4: cost 90 inf + 3894 61.454 * * [simplify]: Extracting #5: cost 40 inf + 27466 61.459 * * [simplify]: Extracting #6: cost 0 inf + 54412 61.469 * [simplify]: Simplified to (* (sqrt (* (* PI 2) n)) (pow k -1/2)) 61.470 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow k -1/2)) (pow (* n (* 2 PI)) (/ k 2)))) 61.470 * * * * [progress]: [ 108 / 118 ] simplifiying candidate #real (real->posit16 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))))> 61.470 * * * * [progress]: [ 109 / 118 ] simplifiying candidate # 61.470 * * * * [progress]: [ 110 / 118 ] simplifiying candidate # 61.470 * [simplify]: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 61.471 * * [simplify]: iters left: 6 (37 enodes) 61.489 * * [simplify]: iters left: 5 (190 enodes) 61.546 * * [simplify]: Extracting #0: cost 1 inf + 0 61.546 * * [simplify]: Extracting #1: cost 22 inf + 0 61.546 * * [simplify]: Extracting #2: cost 108 inf + 1 61.547 * * [simplify]: Extracting #3: cost 171 inf + 46 61.549 * * [simplify]: Extracting #4: cost 189 inf + 427 61.552 * * [simplify]: Extracting #5: cost 128 inf + 16032 61.560 * * [simplify]: Extracting #6: cost 29 inf + 57153 61.575 * * [simplify]: Extracting #7: cost 4 inf + 75884 61.591 * * [simplify]: Extracting #8: cost 0 inf + 78767 61.622 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) 61.622 * [simplify]: Simplified (2 1) to (λ (k n) (* (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) (pow k -1/2))) 61.623 * * * * [progress]: [ 111 / 118 ] simplifiying candidate # 61.623 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 61.623 * * [simplify]: iters left: 6 (15 enodes) 61.636 * * [simplify]: iters left: 5 (65 enodes) 61.658 * * [simplify]: iters left: 4 (123 enodes) 61.707 * * [simplify]: iters left: 3 (367 enodes) 61.853 * * [simplify]: Extracting #0: cost 1 inf + 0 61.853 * * [simplify]: Extracting #1: cost 37 inf + 0 61.854 * * [simplify]: Extracting #2: cost 216 inf + 72 61.855 * * [simplify]: Extracting #3: cost 356 inf + 1622 61.860 * * [simplify]: Extracting #4: cost 219 inf + 28945 61.887 * * [simplify]: Extracting #5: cost 21 inf + 83197 61.921 * * [simplify]: Extracting #6: cost 0 inf + 89881 61.937 * * [simplify]: Extracting #7: cost 0 inf + 89729 61.957 * * [simplify]: Extracting #8: cost 0 inf + 89726 61.989 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 61.989 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (pow k -1/2))) 61.989 * * * * [progress]: [ 112 / 118 ] simplifiying candidate # 61.989 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 61.989 * * [simplify]: iters left: 6 (16 enodes) 61.999 * * [simplify]: iters left: 5 (67 enodes) 62.023 * * [simplify]: iters left: 4 (134 enodes) 62.086 * * [simplify]: iters left: 3 (413 enodes) 62.362 * * [simplify]: Extracting #0: cost 1 inf + 0 62.362 * * [simplify]: Extracting #1: cost 39 inf + 0 62.363 * * [simplify]: Extracting #2: cost 241 inf + 72 62.364 * * [simplify]: Extracting #3: cost 450 inf + 903 62.368 * * [simplify]: Extracting #4: cost 376 inf + 10375 62.394 * * [simplify]: Extracting #5: cost 158 inf + 67083 62.434 * * [simplify]: Extracting #6: cost 12 inf + 118840 62.479 * * [simplify]: Extracting #7: cost 0 inf + 121984 62.512 * * [simplify]: Extracting #8: cost 0 inf + 121983 62.540 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 62.540 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (pow k -1/2))) 62.540 * * * * [progress]: [ 113 / 118 ] simplifiying candidate # 62.541 * [simplify]: Simplifying (* 2 (* n PI)) 62.541 * * [simplify]: iters left: 4 (5 enodes) 62.544 * * [simplify]: iters left: 3 (19 enodes) 62.550 * * [simplify]: iters left: 2 (27 enodes) 62.558 * * [simplify]: iters left: 1 (32 enodes) 62.562 * * [simplify]: Extracting #0: cost 1 inf + 0 62.563 * * [simplify]: Extracting #1: cost 8 inf + 0 62.563 * * [simplify]: Extracting #2: cost 7 inf + 45 62.563 * * [simplify]: Extracting #3: cost 0 inf + 421 62.563 * [simplify]: Simplified to (* (* PI n) 2) 62.563 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow k -1/2))) 62.563 * * * * [progress]: [ 114 / 118 ] simplifiying candidate # 62.563 * [simplify]: Simplifying (* 2 (* n PI)) 62.563 * * [simplify]: iters left: 4 (5 enodes) 62.565 * * [simplify]: iters left: 3 (19 enodes) 62.568 * * [simplify]: iters left: 2 (27 enodes) 62.572 * * [simplify]: iters left: 1 (32 enodes) 62.576 * * [simplify]: Extracting #0: cost 1 inf + 0 62.576 * * [simplify]: Extracting #1: cost 8 inf + 0 62.576 * * [simplify]: Extracting #2: cost 7 inf + 45 62.576 * * [simplify]: Extracting #3: cost 0 inf + 421 62.576 * [simplify]: Simplified to (* (* PI n) 2) 62.576 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow k -1/2))) 62.576 * * * * [progress]: [ 115 / 118 ] simplifiying candidate # 62.576 * [simplify]: Simplifying (* 2 (* n PI)) 62.576 * * [simplify]: iters left: 4 (5 enodes) 62.578 * * [simplify]: iters left: 3 (19 enodes) 62.581 * * [simplify]: iters left: 2 (27 enodes) 62.585 * * [simplify]: iters left: 1 (32 enodes) 62.589 * * [simplify]: Extracting #0: cost 1 inf + 0 62.589 * * [simplify]: Extracting #1: cost 8 inf + 0 62.589 * * [simplify]: Extracting #2: cost 7 inf + 45 62.589 * * [simplify]: Extracting #3: cost 0 inf + 421 62.590 * [simplify]: Simplified to (* (* PI n) 2) 62.590 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow k -1/2))) 62.590 * * * * [progress]: [ 116 / 118 ] simplifiying candidate # 62.590 * [simplify]: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 62.590 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 62.590 * * * * [progress]: [ 117 / 118 ] simplifiying candidate # 62.591 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 62.591 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 62.591 * * * * [progress]: [ 118 / 118 ] simplifiying candidate # 62.591 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))))))) 62.591 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 62.591 * * * [progress]: adding candidates to table 63.843 * * [progress]: iteration 4 / 4 63.843 * * * [progress]: picking best candidate 63.895 * * * * [pick]: Picked # 63.895 * * * [progress]: localizing error 63.951 * * * [progress]: generating rewritten candidates 63.951 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 63.987 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 64.018 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 64.041 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 64.061 * * * [progress]: generating series expansions 64.061 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 64.062 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 64.062 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0 64.062 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 64.062 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 64.062 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 64.062 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 64.062 * [taylor]: Taking taylor expansion of 1/4 in k 64.062 * [backup-simplify]: Simplify 1/4 into 1/4 64.062 * [taylor]: Taking taylor expansion of (- 1 k) in k 64.062 * [taylor]: Taking taylor expansion of 1 in k 64.062 * [backup-simplify]: Simplify 1 into 1 64.062 * [taylor]: Taking taylor expansion of k in k 64.062 * [backup-simplify]: Simplify 0 into 0 64.062 * [backup-simplify]: Simplify 1 into 1 64.062 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 64.062 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 64.062 * [taylor]: Taking taylor expansion of 2 in k 64.062 * [backup-simplify]: Simplify 2 into 2 64.062 * [taylor]: Taking taylor expansion of (* n PI) in k 64.062 * [taylor]: Taking taylor expansion of n in k 64.062 * [backup-simplify]: Simplify n into n 64.062 * [taylor]: Taking taylor expansion of PI in k 64.062 * [backup-simplify]: Simplify PI into PI 64.062 * [backup-simplify]: Simplify (* n PI) into (* n PI) 64.062 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 64.062 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 64.063 * [backup-simplify]: Simplify (- 0) into 0 64.063 * [backup-simplify]: Simplify (+ 1 0) into 1 64.063 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 64.063 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 64.064 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 64.064 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 64.064 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 64.064 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 64.064 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 64.064 * [taylor]: Taking taylor expansion of 1/4 in n 64.064 * [backup-simplify]: Simplify 1/4 into 1/4 64.064 * [taylor]: Taking taylor expansion of (- 1 k) in n 64.064 * [taylor]: Taking taylor expansion of 1 in n 64.064 * [backup-simplify]: Simplify 1 into 1 64.064 * [taylor]: Taking taylor expansion of k in n 64.064 * [backup-simplify]: Simplify k into k 64.064 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 64.064 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 64.064 * [taylor]: Taking taylor expansion of 2 in n 64.064 * [backup-simplify]: Simplify 2 into 2 64.064 * [taylor]: Taking taylor expansion of (* n PI) in n 64.064 * [taylor]: Taking taylor expansion of n in n 64.064 * [backup-simplify]: Simplify 0 into 0 64.064 * [backup-simplify]: Simplify 1 into 1 64.064 * [taylor]: Taking taylor expansion of PI in n 64.064 * [backup-simplify]: Simplify PI into PI 64.064 * [backup-simplify]: Simplify (* 0 PI) into 0 64.064 * [backup-simplify]: Simplify (* 2 0) into 0 64.065 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 64.066 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 64.067 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 64.067 * [backup-simplify]: Simplify (- k) into (- k) 64.067 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 64.067 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 64.069 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 64.070 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 64.071 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 64.071 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 64.071 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 64.071 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 64.071 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 64.071 * [taylor]: Taking taylor expansion of 1/4 in n 64.071 * [backup-simplify]: Simplify 1/4 into 1/4 64.071 * [taylor]: Taking taylor expansion of (- 1 k) in n 64.071 * [taylor]: Taking taylor expansion of 1 in n 64.071 * [backup-simplify]: Simplify 1 into 1 64.071 * [taylor]: Taking taylor expansion of k in n 64.071 * [backup-simplify]: Simplify k into k 64.071 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 64.071 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 64.071 * [taylor]: Taking taylor expansion of 2 in n 64.071 * [backup-simplify]: Simplify 2 into 2 64.071 * [taylor]: Taking taylor expansion of (* n PI) in n 64.071 * [taylor]: Taking taylor expansion of n in n 64.071 * [backup-simplify]: Simplify 0 into 0 64.071 * [backup-simplify]: Simplify 1 into 1 64.072 * [taylor]: Taking taylor expansion of PI in n 64.072 * [backup-simplify]: Simplify PI into PI 64.072 * [backup-simplify]: Simplify (* 0 PI) into 0 64.072 * [backup-simplify]: Simplify (* 2 0) into 0 64.074 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 64.076 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 64.077 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 64.077 * [backup-simplify]: Simplify (- k) into (- k) 64.077 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 64.077 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 64.078 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 64.079 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 64.080 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 64.081 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 64.081 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 64.081 * [taylor]: Taking taylor expansion of 1/4 in k 64.081 * [backup-simplify]: Simplify 1/4 into 1/4 64.081 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 64.081 * [taylor]: Taking taylor expansion of (- 1 k) in k 64.081 * [taylor]: Taking taylor expansion of 1 in k 64.081 * [backup-simplify]: Simplify 1 into 1 64.081 * [taylor]: Taking taylor expansion of k in k 64.081 * [backup-simplify]: Simplify 0 into 0 64.081 * [backup-simplify]: Simplify 1 into 1 64.081 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 64.081 * [taylor]: Taking taylor expansion of (log n) in k 64.081 * [taylor]: Taking taylor expansion of n in k 64.081 * [backup-simplify]: Simplify n into n 64.081 * [backup-simplify]: Simplify (log n) into (log n) 64.081 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 64.081 * [taylor]: Taking taylor expansion of (* 2 PI) in k 64.081 * [taylor]: Taking taylor expansion of 2 in k 64.081 * [backup-simplify]: Simplify 2 into 2 64.081 * [taylor]: Taking taylor expansion of PI in k 64.081 * [backup-simplify]: Simplify PI into PI 64.082 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 64.083 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 64.083 * [backup-simplify]: Simplify (- 0) into 0 64.083 * [backup-simplify]: Simplify (+ 1 0) into 1 64.084 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 64.085 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 64.087 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 64.088 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 64.089 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 64.090 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 64.091 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 64.092 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 64.092 * [backup-simplify]: Simplify (- 0) into 0 64.092 * [backup-simplify]: Simplify (+ 0 0) into 0 64.093 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 64.094 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 64.094 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 64.096 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 64.096 * [taylor]: Taking taylor expansion of 0 in k 64.096 * [backup-simplify]: Simplify 0 into 0 64.096 * [backup-simplify]: Simplify 0 into 0 64.096 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 64.097 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 64.098 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 64.098 * [backup-simplify]: Simplify (+ 0 0) into 0 64.098 * [backup-simplify]: Simplify (- 1) into -1 64.099 * [backup-simplify]: Simplify (+ 0 -1) into -1 64.100 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 64.101 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 64.103 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 64.104 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 64.105 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 64.106 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 64.108 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 64.108 * [backup-simplify]: Simplify (- 0) into 0 64.108 * [backup-simplify]: Simplify (+ 0 0) into 0 64.109 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 64.110 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 64.110 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 64.112 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 64.112 * [taylor]: Taking taylor expansion of 0 in k 64.112 * [backup-simplify]: Simplify 0 into 0 64.112 * [backup-simplify]: Simplify 0 into 0 64.112 * [backup-simplify]: Simplify 0 into 0 64.113 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 64.114 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 64.115 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 64.116 * [backup-simplify]: Simplify (+ 0 0) into 0 64.116 * [backup-simplify]: Simplify (- 0) into 0 64.116 * [backup-simplify]: Simplify (+ 0 0) into 0 64.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 64.119 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 64.121 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 64.124 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 64.129 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 64.130 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 64.130 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0 64.130 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 64.130 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 64.130 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 64.130 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 64.130 * [taylor]: Taking taylor expansion of 1/4 in k 64.130 * [backup-simplify]: Simplify 1/4 into 1/4 64.130 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 64.130 * [taylor]: Taking taylor expansion of 1 in k 64.130 * [backup-simplify]: Simplify 1 into 1 64.130 * [taylor]: Taking taylor expansion of (/ 1 k) in k 64.130 * [taylor]: Taking taylor expansion of k in k 64.130 * [backup-simplify]: Simplify 0 into 0 64.130 * [backup-simplify]: Simplify 1 into 1 64.130 * [backup-simplify]: Simplify (/ 1 1) into 1 64.130 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 64.130 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 64.130 * [taylor]: Taking taylor expansion of 2 in k 64.130 * [backup-simplify]: Simplify 2 into 2 64.130 * [taylor]: Taking taylor expansion of (/ PI n) in k 64.130 * [taylor]: Taking taylor expansion of PI in k 64.131 * [backup-simplify]: Simplify PI into PI 64.131 * [taylor]: Taking taylor expansion of n in k 64.131 * [backup-simplify]: Simplify n into n 64.131 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 64.131 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 64.131 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 64.131 * [backup-simplify]: Simplify (- 1) into -1 64.131 * [backup-simplify]: Simplify (+ 0 -1) into -1 64.131 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 64.132 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 64.132 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 64.132 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 64.132 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 64.132 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 64.132 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 64.132 * [taylor]: Taking taylor expansion of 1/4 in n 64.132 * [backup-simplify]: Simplify 1/4 into 1/4 64.132 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 64.132 * [taylor]: Taking taylor expansion of 1 in n 64.132 * [backup-simplify]: Simplify 1 into 1 64.132 * [taylor]: Taking taylor expansion of (/ 1 k) in n 64.132 * [taylor]: Taking taylor expansion of k in n 64.132 * [backup-simplify]: Simplify k into k 64.132 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 64.132 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 64.132 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 64.132 * [taylor]: Taking taylor expansion of 2 in n 64.132 * [backup-simplify]: Simplify 2 into 2 64.132 * [taylor]: Taking taylor expansion of (/ PI n) in n 64.132 * [taylor]: Taking taylor expansion of PI in n 64.132 * [backup-simplify]: Simplify PI into PI 64.132 * [taylor]: Taking taylor expansion of n in n 64.132 * [backup-simplify]: Simplify 0 into 0 64.132 * [backup-simplify]: Simplify 1 into 1 64.132 * [backup-simplify]: Simplify (/ PI 1) into PI 64.133 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 64.133 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 64.133 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 64.133 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 64.133 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 64.134 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 64.135 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 64.136 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 64.136 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 64.136 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 64.136 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 64.136 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 64.136 * [taylor]: Taking taylor expansion of 1/4 in n 64.136 * [backup-simplify]: Simplify 1/4 into 1/4 64.136 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 64.136 * [taylor]: Taking taylor expansion of 1 in n 64.136 * [backup-simplify]: Simplify 1 into 1 64.136 * [taylor]: Taking taylor expansion of (/ 1 k) in n 64.136 * [taylor]: Taking taylor expansion of k in n 64.136 * [backup-simplify]: Simplify k into k 64.136 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 64.136 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 64.136 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 64.136 * [taylor]: Taking taylor expansion of 2 in n 64.136 * [backup-simplify]: Simplify 2 into 2 64.136 * [taylor]: Taking taylor expansion of (/ PI n) in n 64.136 * [taylor]: Taking taylor expansion of PI in n 64.136 * [backup-simplify]: Simplify PI into PI 64.136 * [taylor]: Taking taylor expansion of n in n 64.136 * [backup-simplify]: Simplify 0 into 0 64.136 * [backup-simplify]: Simplify 1 into 1 64.136 * [backup-simplify]: Simplify (/ PI 1) into PI 64.136 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 64.137 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 64.137 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 64.137 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 64.137 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 64.138 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 64.139 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 64.139 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 64.139 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 64.139 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 64.140 * [taylor]: Taking taylor expansion of 1/4 in k 64.140 * [backup-simplify]: Simplify 1/4 into 1/4 64.140 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 64.140 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 64.140 * [taylor]: Taking taylor expansion of 1 in k 64.140 * [backup-simplify]: Simplify 1 into 1 64.140 * [taylor]: Taking taylor expansion of (/ 1 k) in k 64.140 * [taylor]: Taking taylor expansion of k in k 64.140 * [backup-simplify]: Simplify 0 into 0 64.140 * [backup-simplify]: Simplify 1 into 1 64.140 * [backup-simplify]: Simplify (/ 1 1) into 1 64.140 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 64.140 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 64.140 * [taylor]: Taking taylor expansion of (* 2 PI) in k 64.140 * [taylor]: Taking taylor expansion of 2 in k 64.140 * [backup-simplify]: Simplify 2 into 2 64.140 * [taylor]: Taking taylor expansion of PI in k 64.140 * [backup-simplify]: Simplify PI into PI 64.140 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 64.141 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 64.141 * [taylor]: Taking taylor expansion of (log n) in k 64.141 * [taylor]: Taking taylor expansion of n in k 64.141 * [backup-simplify]: Simplify n into n 64.141 * [backup-simplify]: Simplify (log n) into (log n) 64.141 * [backup-simplify]: Simplify (- 1) into -1 64.142 * [backup-simplify]: Simplify (+ 0 -1) into -1 64.142 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 64.143 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 64.144 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 64.145 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 64.146 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 64.147 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 64.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 64.149 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 64.151 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 64.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 64.151 * [backup-simplify]: Simplify (- 0) into 0 64.152 * [backup-simplify]: Simplify (+ 0 0) into 0 64.152 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 64.153 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 64.155 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 64.157 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 64.157 * [taylor]: Taking taylor expansion of 0 in k 64.157 * [backup-simplify]: Simplify 0 into 0 64.157 * [backup-simplify]: Simplify 0 into 0 64.157 * [backup-simplify]: Simplify 0 into 0 64.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 64.162 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 64.166 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 64.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 64.166 * [backup-simplify]: Simplify (- 0) into 0 64.166 * [backup-simplify]: Simplify (+ 0 0) into 0 64.167 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 64.168 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 64.169 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 64.170 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 64.170 * [taylor]: Taking taylor expansion of 0 in k 64.170 * [backup-simplify]: Simplify 0 into 0 64.170 * [backup-simplify]: Simplify 0 into 0 64.170 * [backup-simplify]: Simplify 0 into 0 64.170 * [backup-simplify]: Simplify 0 into 0 64.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 64.172 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 64.175 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 64.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 64.175 * [backup-simplify]: Simplify (- 0) into 0 64.175 * [backup-simplify]: Simplify (+ 0 0) into 0 64.176 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 64.177 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 64.178 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 64.180 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 64.180 * [taylor]: Taking taylor expansion of 0 in k 64.180 * [backup-simplify]: Simplify 0 into 0 64.180 * [backup-simplify]: Simplify 0 into 0 64.180 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 64.181 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 64.181 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0 64.181 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 64.181 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 64.181 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 64.181 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 64.181 * [taylor]: Taking taylor expansion of 1/4 in k 64.181 * [backup-simplify]: Simplify 1/4 into 1/4 64.181 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 64.181 * [taylor]: Taking taylor expansion of (/ 1 k) in k 64.181 * [taylor]: Taking taylor expansion of k in k 64.181 * [backup-simplify]: Simplify 0 into 0 64.181 * [backup-simplify]: Simplify 1 into 1 64.182 * [backup-simplify]: Simplify (/ 1 1) into 1 64.182 * [taylor]: Taking taylor expansion of 1 in k 64.182 * [backup-simplify]: Simplify 1 into 1 64.182 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 64.182 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 64.182 * [taylor]: Taking taylor expansion of -2 in k 64.182 * [backup-simplify]: Simplify -2 into -2 64.182 * [taylor]: Taking taylor expansion of (/ PI n) in k 64.182 * [taylor]: Taking taylor expansion of PI in k 64.182 * [backup-simplify]: Simplify PI into PI 64.182 * [taylor]: Taking taylor expansion of n in k 64.182 * [backup-simplify]: Simplify n into n 64.182 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 64.182 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 64.182 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 64.182 * [backup-simplify]: Simplify (+ 1 0) into 1 64.182 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 64.183 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 64.183 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 64.183 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 64.183 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 64.183 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 64.183 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 64.183 * [taylor]: Taking taylor expansion of 1/4 in n 64.183 * [backup-simplify]: Simplify 1/4 into 1/4 64.183 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 64.183 * [taylor]: Taking taylor expansion of (/ 1 k) in n 64.183 * [taylor]: Taking taylor expansion of k in n 64.183 * [backup-simplify]: Simplify k into k 64.183 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 64.183 * [taylor]: Taking taylor expansion of 1 in n 64.183 * [backup-simplify]: Simplify 1 into 1 64.183 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 64.183 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 64.183 * [taylor]: Taking taylor expansion of -2 in n 64.183 * [backup-simplify]: Simplify -2 into -2 64.183 * [taylor]: Taking taylor expansion of (/ PI n) in n 64.183 * [taylor]: Taking taylor expansion of PI in n 64.183 * [backup-simplify]: Simplify PI into PI 64.183 * [taylor]: Taking taylor expansion of n in n 64.183 * [backup-simplify]: Simplify 0 into 0 64.183 * [backup-simplify]: Simplify 1 into 1 64.183 * [backup-simplify]: Simplify (/ PI 1) into PI 64.184 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 64.184 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 64.184 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 64.184 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 64.185 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 64.186 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 64.187 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 64.187 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 64.187 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 64.187 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 64.187 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 64.187 * [taylor]: Taking taylor expansion of 1/4 in n 64.187 * [backup-simplify]: Simplify 1/4 into 1/4 64.187 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 64.187 * [taylor]: Taking taylor expansion of (/ 1 k) in n 64.187 * [taylor]: Taking taylor expansion of k in n 64.187 * [backup-simplify]: Simplify k into k 64.187 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 64.187 * [taylor]: Taking taylor expansion of 1 in n 64.187 * [backup-simplify]: Simplify 1 into 1 64.187 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 64.187 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 64.187 * [taylor]: Taking taylor expansion of -2 in n 64.187 * [backup-simplify]: Simplify -2 into -2 64.187 * [taylor]: Taking taylor expansion of (/ PI n) in n 64.187 * [taylor]: Taking taylor expansion of PI in n 64.187 * [backup-simplify]: Simplify PI into PI 64.187 * [taylor]: Taking taylor expansion of n in n 64.187 * [backup-simplify]: Simplify 0 into 0 64.187 * [backup-simplify]: Simplify 1 into 1 64.187 * [backup-simplify]: Simplify (/ PI 1) into PI 64.187 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 64.188 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 64.188 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 64.188 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 64.189 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 64.190 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 64.190 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 64.190 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 64.190 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 64.190 * [taylor]: Taking taylor expansion of 1/4 in k 64.190 * [backup-simplify]: Simplify 1/4 into 1/4 64.191 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 64.191 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 64.191 * [taylor]: Taking taylor expansion of (/ 1 k) in k 64.191 * [taylor]: Taking taylor expansion of k in k 64.191 * [backup-simplify]: Simplify 0 into 0 64.191 * [backup-simplify]: Simplify 1 into 1 64.191 * [backup-simplify]: Simplify (/ 1 1) into 1 64.191 * [taylor]: Taking taylor expansion of 1 in k 64.191 * [backup-simplify]: Simplify 1 into 1 64.191 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 64.191 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 64.191 * [taylor]: Taking taylor expansion of (* -2 PI) in k 64.191 * [taylor]: Taking taylor expansion of -2 in k 64.191 * [backup-simplify]: Simplify -2 into -2 64.191 * [taylor]: Taking taylor expansion of PI in k 64.191 * [backup-simplify]: Simplify PI into PI 64.192 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 64.192 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 64.192 * [taylor]: Taking taylor expansion of (log n) in k 64.192 * [taylor]: Taking taylor expansion of n in k 64.192 * [backup-simplify]: Simplify n into n 64.192 * [backup-simplify]: Simplify (log n) into (log n) 64.192 * [backup-simplify]: Simplify (+ 1 0) into 1 64.193 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 64.193 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 64.194 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 64.194 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 64.195 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 64.196 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 64.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 64.197 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 64.198 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 64.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 64.198 * [backup-simplify]: Simplify (+ 0 0) into 0 64.198 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 64.199 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 64.200 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 64.201 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 64.201 * [taylor]: Taking taylor expansion of 0 in k 64.201 * [backup-simplify]: Simplify 0 into 0 64.201 * [backup-simplify]: Simplify 0 into 0 64.201 * [backup-simplify]: Simplify 0 into 0 64.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 64.202 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 64.204 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 64.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 64.205 * [backup-simplify]: Simplify (+ 0 0) into 0 64.205 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 64.206 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 64.207 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 64.208 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 64.208 * [taylor]: Taking taylor expansion of 0 in k 64.208 * [backup-simplify]: Simplify 0 into 0 64.208 * [backup-simplify]: Simplify 0 into 0 64.208 * [backup-simplify]: Simplify 0 into 0 64.208 * [backup-simplify]: Simplify 0 into 0 64.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 64.210 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 64.215 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 64.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 64.216 * [backup-simplify]: Simplify (+ 0 0) into 0 64.217 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 64.219 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 64.220 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 64.223 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 64.223 * [taylor]: Taking taylor expansion of 0 in k 64.223 * [backup-simplify]: Simplify 0 into 0 64.223 * [backup-simplify]: Simplify 0 into 0 64.225 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 64.225 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 64.225 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 64.225 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0 64.225 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 64.225 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 64.225 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 64.225 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 64.225 * [taylor]: Taking taylor expansion of 1/4 in k 64.226 * [backup-simplify]: Simplify 1/4 into 1/4 64.226 * [taylor]: Taking taylor expansion of (- 1 k) in k 64.226 * [taylor]: Taking taylor expansion of 1 in k 64.226 * [backup-simplify]: Simplify 1 into 1 64.226 * [taylor]: Taking taylor expansion of k in k 64.226 * [backup-simplify]: Simplify 0 into 0 64.226 * [backup-simplify]: Simplify 1 into 1 64.226 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 64.226 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 64.226 * [taylor]: Taking taylor expansion of 2 in k 64.226 * [backup-simplify]: Simplify 2 into 2 64.226 * [taylor]: Taking taylor expansion of (* n PI) in k 64.226 * [taylor]: Taking taylor expansion of n in k 64.226 * [backup-simplify]: Simplify n into n 64.226 * [taylor]: Taking taylor expansion of PI in k 64.226 * [backup-simplify]: Simplify PI into PI 64.226 * [backup-simplify]: Simplify (* n PI) into (* n PI) 64.226 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 64.226 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 64.227 * [backup-simplify]: Simplify (- 0) into 0 64.228 * [backup-simplify]: Simplify (+ 1 0) into 1 64.228 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 64.228 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 64.228 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 64.228 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 64.228 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 64.228 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 64.228 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 64.228 * [taylor]: Taking taylor expansion of 1/4 in n 64.228 * [backup-simplify]: Simplify 1/4 into 1/4 64.228 * [taylor]: Taking taylor expansion of (- 1 k) in n 64.229 * [taylor]: Taking taylor expansion of 1 in n 64.229 * [backup-simplify]: Simplify 1 into 1 64.229 * [taylor]: Taking taylor expansion of k in n 64.229 * [backup-simplify]: Simplify k into k 64.229 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 64.229 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 64.229 * [taylor]: Taking taylor expansion of 2 in n 64.229 * [backup-simplify]: Simplify 2 into 2 64.229 * [taylor]: Taking taylor expansion of (* n PI) in n 64.229 * [taylor]: Taking taylor expansion of n in n 64.229 * [backup-simplify]: Simplify 0 into 0 64.229 * [backup-simplify]: Simplify 1 into 1 64.229 * [taylor]: Taking taylor expansion of PI in n 64.229 * [backup-simplify]: Simplify PI into PI 64.229 * [backup-simplify]: Simplify (* 0 PI) into 0 64.230 * [backup-simplify]: Simplify (* 2 0) into 0 64.232 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 64.233 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 64.234 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 64.234 * [backup-simplify]: Simplify (- k) into (- k) 64.234 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 64.234 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 64.236 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 64.237 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 64.238 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 64.238 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 64.238 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 64.238 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 64.238 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 64.238 * [taylor]: Taking taylor expansion of 1/4 in n 64.238 * [backup-simplify]: Simplify 1/4 into 1/4 64.238 * [taylor]: Taking taylor expansion of (- 1 k) in n 64.238 * [taylor]: Taking taylor expansion of 1 in n 64.238 * [backup-simplify]: Simplify 1 into 1 64.238 * [taylor]: Taking taylor expansion of k in n 64.238 * [backup-simplify]: Simplify k into k 64.238 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 64.238 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 64.238 * [taylor]: Taking taylor expansion of 2 in n 64.238 * [backup-simplify]: Simplify 2 into 2 64.238 * [taylor]: Taking taylor expansion of (* n PI) in n 64.238 * [taylor]: Taking taylor expansion of n in n 64.238 * [backup-simplify]: Simplify 0 into 0 64.238 * [backup-simplify]: Simplify 1 into 1 64.238 * [taylor]: Taking taylor expansion of PI in n 64.238 * [backup-simplify]: Simplify PI into PI 64.239 * [backup-simplify]: Simplify (* 0 PI) into 0 64.239 * [backup-simplify]: Simplify (* 2 0) into 0 64.241 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 64.243 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 64.244 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 64.244 * [backup-simplify]: Simplify (- k) into (- k) 64.244 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 64.244 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 64.245 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 64.246 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 64.247 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 64.248 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 64.248 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 64.248 * [taylor]: Taking taylor expansion of 1/4 in k 64.248 * [backup-simplify]: Simplify 1/4 into 1/4 64.248 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 64.248 * [taylor]: Taking taylor expansion of (- 1 k) in k 64.248 * [taylor]: Taking taylor expansion of 1 in k 64.248 * [backup-simplify]: Simplify 1 into 1 64.248 * [taylor]: Taking taylor expansion of k in k 64.248 * [backup-simplify]: Simplify 0 into 0 64.248 * [backup-simplify]: Simplify 1 into 1 64.248 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 64.248 * [taylor]: Taking taylor expansion of (log n) in k 64.248 * [taylor]: Taking taylor expansion of n in k 64.248 * [backup-simplify]: Simplify n into n 64.248 * [backup-simplify]: Simplify (log n) into (log n) 64.248 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 64.248 * [taylor]: Taking taylor expansion of (* 2 PI) in k 64.248 * [taylor]: Taking taylor expansion of 2 in k 64.248 * [backup-simplify]: Simplify 2 into 2 64.248 * [taylor]: Taking taylor expansion of PI in k 64.248 * [backup-simplify]: Simplify PI into PI 64.249 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 64.250 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 64.250 * [backup-simplify]: Simplify (- 0) into 0 64.250 * [backup-simplify]: Simplify (+ 1 0) into 1 64.251 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 64.252 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 64.253 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 64.254 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 64.255 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 64.257 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 64.258 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 64.259 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 64.259 * [backup-simplify]: Simplify (- 0) into 0 64.259 * [backup-simplify]: Simplify (+ 0 0) into 0 64.260 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 64.261 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 64.261 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 64.262 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 64.262 * [taylor]: Taking taylor expansion of 0 in k 64.262 * [backup-simplify]: Simplify 0 into 0 64.262 * [backup-simplify]: Simplify 0 into 0 64.263 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 64.263 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 64.264 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 64.265 * [backup-simplify]: Simplify (+ 0 0) into 0 64.265 * [backup-simplify]: Simplify (- 1) into -1 64.265 * [backup-simplify]: Simplify (+ 0 -1) into -1 64.266 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 64.267 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 64.270 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 64.272 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 64.273 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 64.274 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 64.275 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 64.276 * [backup-simplify]: Simplify (- 0) into 0 64.276 * [backup-simplify]: Simplify (+ 0 0) into 0 64.276 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 64.277 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 64.278 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 64.279 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 64.280 * [taylor]: Taking taylor expansion of 0 in k 64.280 * [backup-simplify]: Simplify 0 into 0 64.280 * [backup-simplify]: Simplify 0 into 0 64.280 * [backup-simplify]: Simplify 0 into 0 64.281 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 64.281 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 64.283 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 64.283 * [backup-simplify]: Simplify (+ 0 0) into 0 64.284 * [backup-simplify]: Simplify (- 0) into 0 64.284 * [backup-simplify]: Simplify (+ 0 0) into 0 64.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 64.286 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 64.289 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 64.292 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 64.297 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 64.298 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 64.298 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0 64.298 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 64.298 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 64.298 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 64.298 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 64.298 * [taylor]: Taking taylor expansion of 1/4 in k 64.298 * [backup-simplify]: Simplify 1/4 into 1/4 64.298 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 64.298 * [taylor]: Taking taylor expansion of 1 in k 64.298 * [backup-simplify]: Simplify 1 into 1 64.298 * [taylor]: Taking taylor expansion of (/ 1 k) in k 64.298 * [taylor]: Taking taylor expansion of k in k 64.298 * [backup-simplify]: Simplify 0 into 0 64.298 * [backup-simplify]: Simplify 1 into 1 64.298 * [backup-simplify]: Simplify (/ 1 1) into 1 64.298 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 64.298 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 64.298 * [taylor]: Taking taylor expansion of 2 in k 64.298 * [backup-simplify]: Simplify 2 into 2 64.298 * [taylor]: Taking taylor expansion of (/ PI n) in k 64.298 * [taylor]: Taking taylor expansion of PI in k 64.298 * [backup-simplify]: Simplify PI into PI 64.298 * [taylor]: Taking taylor expansion of n in k 64.298 * [backup-simplify]: Simplify n into n 64.298 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 64.298 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 64.298 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 64.299 * [backup-simplify]: Simplify (- 1) into -1 64.299 * [backup-simplify]: Simplify (+ 0 -1) into -1 64.299 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 64.299 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 64.299 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 64.299 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 64.299 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 64.299 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 64.299 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 64.299 * [taylor]: Taking taylor expansion of 1/4 in n 64.299 * [backup-simplify]: Simplify 1/4 into 1/4 64.300 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 64.300 * [taylor]: Taking taylor expansion of 1 in n 64.300 * [backup-simplify]: Simplify 1 into 1 64.300 * [taylor]: Taking taylor expansion of (/ 1 k) in n 64.300 * [taylor]: Taking taylor expansion of k in n 64.300 * [backup-simplify]: Simplify k into k 64.300 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 64.300 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 64.300 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 64.300 * [taylor]: Taking taylor expansion of 2 in n 64.300 * [backup-simplify]: Simplify 2 into 2 64.300 * [taylor]: Taking taylor expansion of (/ PI n) in n 64.300 * [taylor]: Taking taylor expansion of PI in n 64.300 * [backup-simplify]: Simplify PI into PI 64.300 * [taylor]: Taking taylor expansion of n in n 64.300 * [backup-simplify]: Simplify 0 into 0 64.300 * [backup-simplify]: Simplify 1 into 1 64.300 * [backup-simplify]: Simplify (/ PI 1) into PI 64.300 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 64.301 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 64.301 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 64.301 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 64.301 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 64.302 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 64.303 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 64.303 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 64.303 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 64.303 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 64.303 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 64.303 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 64.303 * [taylor]: Taking taylor expansion of 1/4 in n 64.303 * [backup-simplify]: Simplify 1/4 into 1/4 64.303 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 64.303 * [taylor]: Taking taylor expansion of 1 in n 64.303 * [backup-simplify]: Simplify 1 into 1 64.303 * [taylor]: Taking taylor expansion of (/ 1 k) in n 64.303 * [taylor]: Taking taylor expansion of k in n 64.303 * [backup-simplify]: Simplify k into k 64.304 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 64.304 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 64.304 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 64.304 * [taylor]: Taking taylor expansion of 2 in n 64.304 * [backup-simplify]: Simplify 2 into 2 64.304 * [taylor]: Taking taylor expansion of (/ PI n) in n 64.304 * [taylor]: Taking taylor expansion of PI in n 64.304 * [backup-simplify]: Simplify PI into PI 64.304 * [taylor]: Taking taylor expansion of n in n 64.304 * [backup-simplify]: Simplify 0 into 0 64.304 * [backup-simplify]: Simplify 1 into 1 64.304 * [backup-simplify]: Simplify (/ PI 1) into PI 64.304 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 64.305 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 64.305 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 64.305 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 64.305 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 64.306 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 64.307 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 64.308 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 64.308 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 64.308 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 64.308 * [taylor]: Taking taylor expansion of 1/4 in k 64.308 * [backup-simplify]: Simplify 1/4 into 1/4 64.308 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 64.308 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 64.308 * [taylor]: Taking taylor expansion of 1 in k 64.308 * [backup-simplify]: Simplify 1 into 1 64.308 * [taylor]: Taking taylor expansion of (/ 1 k) in k 64.308 * [taylor]: Taking taylor expansion of k in k 64.308 * [backup-simplify]: Simplify 0 into 0 64.308 * [backup-simplify]: Simplify 1 into 1 64.308 * [backup-simplify]: Simplify (/ 1 1) into 1 64.309 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 64.309 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 64.309 * [taylor]: Taking taylor expansion of (* 2 PI) in k 64.309 * [taylor]: Taking taylor expansion of 2 in k 64.309 * [backup-simplify]: Simplify 2 into 2 64.309 * [taylor]: Taking taylor expansion of PI in k 64.309 * [backup-simplify]: Simplify PI into PI 64.309 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 64.310 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 64.310 * [taylor]: Taking taylor expansion of (log n) in k 64.310 * [taylor]: Taking taylor expansion of n in k 64.310 * [backup-simplify]: Simplify n into n 64.310 * [backup-simplify]: Simplify (log n) into (log n) 64.310 * [backup-simplify]: Simplify (- 1) into -1 64.311 * [backup-simplify]: Simplify (+ 0 -1) into -1 64.311 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 64.312 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 64.313 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 64.314 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 64.315 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 64.317 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 64.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 64.318 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 64.320 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 64.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 64.321 * [backup-simplify]: Simplify (- 0) into 0 64.321 * [backup-simplify]: Simplify (+ 0 0) into 0 64.322 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 64.323 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 64.324 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 64.326 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 64.326 * [taylor]: Taking taylor expansion of 0 in k 64.326 * [backup-simplify]: Simplify 0 into 0 64.326 * [backup-simplify]: Simplify 0 into 0 64.326 * [backup-simplify]: Simplify 0 into 0 64.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 64.328 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 64.332 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 64.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 64.332 * [backup-simplify]: Simplify (- 0) into 0 64.333 * [backup-simplify]: Simplify (+ 0 0) into 0 64.334 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 64.335 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 64.337 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 64.339 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 64.339 * [taylor]: Taking taylor expansion of 0 in k 64.339 * [backup-simplify]: Simplify 0 into 0 64.339 * [backup-simplify]: Simplify 0 into 0 64.339 * [backup-simplify]: Simplify 0 into 0 64.339 * [backup-simplify]: Simplify 0 into 0 64.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 64.340 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 64.344 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 64.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 64.344 * [backup-simplify]: Simplify (- 0) into 0 64.344 * [backup-simplify]: Simplify (+ 0 0) into 0 64.345 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 64.346 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 64.347 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 64.349 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 64.349 * [taylor]: Taking taylor expansion of 0 in k 64.349 * [backup-simplify]: Simplify 0 into 0 64.349 * [backup-simplify]: Simplify 0 into 0 64.350 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 64.350 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 64.350 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0 64.350 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 64.350 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 64.350 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 64.350 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 64.350 * [taylor]: Taking taylor expansion of 1/4 in k 64.350 * [backup-simplify]: Simplify 1/4 into 1/4 64.350 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 64.350 * [taylor]: Taking taylor expansion of (/ 1 k) in k 64.350 * [taylor]: Taking taylor expansion of k in k 64.350 * [backup-simplify]: Simplify 0 into 0 64.350 * [backup-simplify]: Simplify 1 into 1 64.351 * [backup-simplify]: Simplify (/ 1 1) into 1 64.351 * [taylor]: Taking taylor expansion of 1 in k 64.351 * [backup-simplify]: Simplify 1 into 1 64.351 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 64.351 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 64.351 * [taylor]: Taking taylor expansion of -2 in k 64.351 * [backup-simplify]: Simplify -2 into -2 64.351 * [taylor]: Taking taylor expansion of (/ PI n) in k 64.351 * [taylor]: Taking taylor expansion of PI in k 64.351 * [backup-simplify]: Simplify PI into PI 64.351 * [taylor]: Taking taylor expansion of n in k 64.351 * [backup-simplify]: Simplify n into n 64.351 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 64.351 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 64.351 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 64.351 * [backup-simplify]: Simplify (+ 1 0) into 1 64.351 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 64.351 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 64.352 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 64.352 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 64.352 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 64.352 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 64.352 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 64.352 * [taylor]: Taking taylor expansion of 1/4 in n 64.352 * [backup-simplify]: Simplify 1/4 into 1/4 64.352 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 64.352 * [taylor]: Taking taylor expansion of (/ 1 k) in n 64.352 * [taylor]: Taking taylor expansion of k in n 64.352 * [backup-simplify]: Simplify k into k 64.352 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 64.352 * [taylor]: Taking taylor expansion of 1 in n 64.352 * [backup-simplify]: Simplify 1 into 1 64.352 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 64.352 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 64.352 * [taylor]: Taking taylor expansion of -2 in n 64.352 * [backup-simplify]: Simplify -2 into -2 64.352 * [taylor]: Taking taylor expansion of (/ PI n) in n 64.352 * [taylor]: Taking taylor expansion of PI in n 64.352 * [backup-simplify]: Simplify PI into PI 64.352 * [taylor]: Taking taylor expansion of n in n 64.352 * [backup-simplify]: Simplify 0 into 0 64.352 * [backup-simplify]: Simplify 1 into 1 64.352 * [backup-simplify]: Simplify (/ PI 1) into PI 64.352 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 64.353 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 64.353 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 64.353 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 64.354 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 64.355 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 64.355 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 64.356 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 64.356 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 64.356 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 64.356 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 64.356 * [taylor]: Taking taylor expansion of 1/4 in n 64.356 * [backup-simplify]: Simplify 1/4 into 1/4 64.356 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 64.356 * [taylor]: Taking taylor expansion of (/ 1 k) in n 64.356 * [taylor]: Taking taylor expansion of k in n 64.356 * [backup-simplify]: Simplify k into k 64.356 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 64.356 * [taylor]: Taking taylor expansion of 1 in n 64.356 * [backup-simplify]: Simplify 1 into 1 64.356 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 64.356 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 64.356 * [taylor]: Taking taylor expansion of -2 in n 64.356 * [backup-simplify]: Simplify -2 into -2 64.356 * [taylor]: Taking taylor expansion of (/ PI n) in n 64.356 * [taylor]: Taking taylor expansion of PI in n 64.356 * [backup-simplify]: Simplify PI into PI 64.356 * [taylor]: Taking taylor expansion of n in n 64.356 * [backup-simplify]: Simplify 0 into 0 64.356 * [backup-simplify]: Simplify 1 into 1 64.356 * [backup-simplify]: Simplify (/ PI 1) into PI 64.356 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 64.357 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 64.357 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 64.357 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 64.358 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 64.359 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 64.359 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 64.360 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 64.360 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 64.360 * [taylor]: Taking taylor expansion of 1/4 in k 64.360 * [backup-simplify]: Simplify 1/4 into 1/4 64.360 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 64.360 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 64.360 * [taylor]: Taking taylor expansion of (/ 1 k) in k 64.360 * [taylor]: Taking taylor expansion of k in k 64.360 * [backup-simplify]: Simplify 0 into 0 64.360 * [backup-simplify]: Simplify 1 into 1 64.360 * [backup-simplify]: Simplify (/ 1 1) into 1 64.360 * [taylor]: Taking taylor expansion of 1 in k 64.360 * [backup-simplify]: Simplify 1 into 1 64.360 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 64.360 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 64.360 * [taylor]: Taking taylor expansion of (* -2 PI) in k 64.360 * [taylor]: Taking taylor expansion of -2 in k 64.360 * [backup-simplify]: Simplify -2 into -2 64.360 * [taylor]: Taking taylor expansion of PI in k 64.360 * [backup-simplify]: Simplify PI into PI 64.360 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 64.361 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 64.361 * [taylor]: Taking taylor expansion of (log n) in k 64.361 * [taylor]: Taking taylor expansion of n in k 64.361 * [backup-simplify]: Simplify n into n 64.361 * [backup-simplify]: Simplify (log n) into (log n) 64.361 * [backup-simplify]: Simplify (+ 1 0) into 1 64.361 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 64.362 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 64.363 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 64.363 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 64.364 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 64.365 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 64.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 64.366 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 64.367 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 64.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 64.367 * [backup-simplify]: Simplify (+ 0 0) into 0 64.369 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 64.370 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 64.370 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 64.372 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 64.372 * [taylor]: Taking taylor expansion of 0 in k 64.372 * [backup-simplify]: Simplify 0 into 0 64.372 * [backup-simplify]: Simplify 0 into 0 64.372 * [backup-simplify]: Simplify 0 into 0 64.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 64.375 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 64.378 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 64.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 64.379 * [backup-simplify]: Simplify (+ 0 0) into 0 64.380 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 64.381 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 64.382 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 64.385 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 64.385 * [taylor]: Taking taylor expansion of 0 in k 64.385 * [backup-simplify]: Simplify 0 into 0 64.385 * [backup-simplify]: Simplify 0 into 0 64.385 * [backup-simplify]: Simplify 0 into 0 64.385 * [backup-simplify]: Simplify 0 into 0 64.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 64.387 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 64.394 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 64.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 64.395 * [backup-simplify]: Simplify (+ 0 0) into 0 64.397 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 64.398 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 64.400 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 64.403 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 64.403 * [taylor]: Taking taylor expansion of 0 in k 64.403 * [backup-simplify]: Simplify 0 into 0 64.403 * [backup-simplify]: Simplify 0 into 0 64.404 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 64.404 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 64.405 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 64.405 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 64.405 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 64.405 * [taylor]: Taking taylor expansion of 2 in n 64.405 * [backup-simplify]: Simplify 2 into 2 64.405 * [taylor]: Taking taylor expansion of (* n PI) in n 64.405 * [taylor]: Taking taylor expansion of n in n 64.405 * [backup-simplify]: Simplify 0 into 0 64.405 * [backup-simplify]: Simplify 1 into 1 64.405 * [taylor]: Taking taylor expansion of PI in n 64.405 * [backup-simplify]: Simplify PI into PI 64.405 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 64.405 * [taylor]: Taking taylor expansion of 2 in n 64.405 * [backup-simplify]: Simplify 2 into 2 64.405 * [taylor]: Taking taylor expansion of (* n PI) in n 64.405 * [taylor]: Taking taylor expansion of n in n 64.405 * [backup-simplify]: Simplify 0 into 0 64.405 * [backup-simplify]: Simplify 1 into 1 64.405 * [taylor]: Taking taylor expansion of PI in n 64.405 * [backup-simplify]: Simplify PI into PI 64.406 * [backup-simplify]: Simplify (* 0 PI) into 0 64.406 * [backup-simplify]: Simplify (* 2 0) into 0 64.406 * [backup-simplify]: Simplify 0 into 0 64.408 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 64.409 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 64.410 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 64.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 64.412 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 64.412 * [backup-simplify]: Simplify 0 into 0 64.413 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 64.414 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 64.414 * [backup-simplify]: Simplify 0 into 0 64.415 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 64.417 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 64.417 * [backup-simplify]: Simplify 0 into 0 64.418 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 64.420 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 64.420 * [backup-simplify]: Simplify 0 into 0 64.422 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 64.423 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 64.423 * [backup-simplify]: Simplify 0 into 0 64.424 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 64.425 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 64.425 * [backup-simplify]: Simplify 0 into 0 64.425 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 64.426 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 64.426 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 64.426 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 64.426 * [taylor]: Taking taylor expansion of 2 in n 64.426 * [backup-simplify]: Simplify 2 into 2 64.426 * [taylor]: Taking taylor expansion of (/ PI n) in n 64.426 * [taylor]: Taking taylor expansion of PI in n 64.426 * [backup-simplify]: Simplify PI into PI 64.426 * [taylor]: Taking taylor expansion of n in n 64.426 * [backup-simplify]: Simplify 0 into 0 64.426 * [backup-simplify]: Simplify 1 into 1 64.426 * [backup-simplify]: Simplify (/ PI 1) into PI 64.426 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 64.426 * [taylor]: Taking taylor expansion of 2 in n 64.426 * [backup-simplify]: Simplify 2 into 2 64.426 * [taylor]: Taking taylor expansion of (/ PI n) in n 64.426 * [taylor]: Taking taylor expansion of PI in n 64.426 * [backup-simplify]: Simplify PI into PI 64.426 * [taylor]: Taking taylor expansion of n in n 64.426 * [backup-simplify]: Simplify 0 into 0 64.426 * [backup-simplify]: Simplify 1 into 1 64.426 * [backup-simplify]: Simplify (/ PI 1) into PI 64.427 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 64.427 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 64.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 64.428 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 64.428 * [backup-simplify]: Simplify 0 into 0 64.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 64.429 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 64.429 * [backup-simplify]: Simplify 0 into 0 64.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 64.430 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 64.430 * [backup-simplify]: Simplify 0 into 0 64.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 64.432 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 64.432 * [backup-simplify]: Simplify 0 into 0 64.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 64.433 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 64.433 * [backup-simplify]: Simplify 0 into 0 64.434 * [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 64.435 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 64.435 * [backup-simplify]: Simplify 0 into 0 64.435 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 64.436 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 64.436 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 64.436 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 64.436 * [taylor]: Taking taylor expansion of -2 in n 64.436 * [backup-simplify]: Simplify -2 into -2 64.436 * [taylor]: Taking taylor expansion of (/ PI n) in n 64.436 * [taylor]: Taking taylor expansion of PI in n 64.436 * [backup-simplify]: Simplify PI into PI 64.436 * [taylor]: Taking taylor expansion of n in n 64.436 * [backup-simplify]: Simplify 0 into 0 64.436 * [backup-simplify]: Simplify 1 into 1 64.436 * [backup-simplify]: Simplify (/ PI 1) into PI 64.436 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 64.436 * [taylor]: Taking taylor expansion of -2 in n 64.436 * [backup-simplify]: Simplify -2 into -2 64.436 * [taylor]: Taking taylor expansion of (/ PI n) in n 64.436 * [taylor]: Taking taylor expansion of PI in n 64.436 * [backup-simplify]: Simplify PI into PI 64.436 * [taylor]: Taking taylor expansion of n in n 64.436 * [backup-simplify]: Simplify 0 into 0 64.436 * [backup-simplify]: Simplify 1 into 1 64.436 * [backup-simplify]: Simplify (/ PI 1) into PI 64.437 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 64.437 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 64.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 64.438 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 64.438 * [backup-simplify]: Simplify 0 into 0 64.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 64.439 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 64.439 * [backup-simplify]: Simplify 0 into 0 64.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 64.441 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 64.441 * [backup-simplify]: Simplify 0 into 0 64.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 64.442 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 64.442 * [backup-simplify]: Simplify 0 into 0 64.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 64.443 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 64.443 * [backup-simplify]: Simplify 0 into 0 64.444 * [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 64.445 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 64.445 * [backup-simplify]: Simplify 0 into 0 64.445 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 64.445 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 64.446 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 64.446 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 64.446 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 64.446 * [taylor]: Taking taylor expansion of 2 in n 64.446 * [backup-simplify]: Simplify 2 into 2 64.446 * [taylor]: Taking taylor expansion of (* n PI) in n 64.446 * [taylor]: Taking taylor expansion of n in n 64.446 * [backup-simplify]: Simplify 0 into 0 64.446 * [backup-simplify]: Simplify 1 into 1 64.446 * [taylor]: Taking taylor expansion of PI in n 64.446 * [backup-simplify]: Simplify PI into PI 64.446 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 64.446 * [taylor]: Taking taylor expansion of 2 in n 64.446 * [backup-simplify]: Simplify 2 into 2 64.446 * [taylor]: Taking taylor expansion of (* n PI) in n 64.446 * [taylor]: Taking taylor expansion of n in n 64.446 * [backup-simplify]: Simplify 0 into 0 64.446 * [backup-simplify]: Simplify 1 into 1 64.446 * [taylor]: Taking taylor expansion of PI in n 64.446 * [backup-simplify]: Simplify PI into PI 64.446 * [backup-simplify]: Simplify (* 0 PI) into 0 64.447 * [backup-simplify]: Simplify (* 2 0) into 0 64.447 * [backup-simplify]: Simplify 0 into 0 64.448 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 64.448 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 64.449 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 64.449 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 64.450 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 64.450 * [backup-simplify]: Simplify 0 into 0 64.451 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 64.451 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 64.451 * [backup-simplify]: Simplify 0 into 0 64.452 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 64.453 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 64.453 * [backup-simplify]: Simplify 0 into 0 64.454 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 64.455 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 64.455 * [backup-simplify]: Simplify 0 into 0 64.456 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 64.457 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 64.457 * [backup-simplify]: Simplify 0 into 0 64.458 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 64.459 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 64.459 * [backup-simplify]: Simplify 0 into 0 64.459 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 64.460 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 64.460 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 64.460 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 64.460 * [taylor]: Taking taylor expansion of 2 in n 64.460 * [backup-simplify]: Simplify 2 into 2 64.460 * [taylor]: Taking taylor expansion of (/ PI n) in n 64.460 * [taylor]: Taking taylor expansion of PI in n 64.460 * [backup-simplify]: Simplify PI into PI 64.460 * [taylor]: Taking taylor expansion of n in n 64.460 * [backup-simplify]: Simplify 0 into 0 64.460 * [backup-simplify]: Simplify 1 into 1 64.460 * [backup-simplify]: Simplify (/ PI 1) into PI 64.460 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 64.460 * [taylor]: Taking taylor expansion of 2 in n 64.460 * [backup-simplify]: Simplify 2 into 2 64.460 * [taylor]: Taking taylor expansion of (/ PI n) in n 64.460 * [taylor]: Taking taylor expansion of PI in n 64.460 * [backup-simplify]: Simplify PI into PI 64.460 * [taylor]: Taking taylor expansion of n in n 64.460 * [backup-simplify]: Simplify 0 into 0 64.460 * [backup-simplify]: Simplify 1 into 1 64.461 * [backup-simplify]: Simplify (/ PI 1) into PI 64.461 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 64.461 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 64.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 64.462 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 64.462 * [backup-simplify]: Simplify 0 into 0 64.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 64.464 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 64.464 * [backup-simplify]: Simplify 0 into 0 64.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 64.467 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 64.467 * [backup-simplify]: Simplify 0 into 0 64.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 64.469 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 64.469 * [backup-simplify]: Simplify 0 into 0 64.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 64.472 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 64.472 * [backup-simplify]: Simplify 0 into 0 64.473 * [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 64.474 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 64.475 * [backup-simplify]: Simplify 0 into 0 64.475 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 64.476 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 64.476 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 64.476 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 64.476 * [taylor]: Taking taylor expansion of -2 in n 64.476 * [backup-simplify]: Simplify -2 into -2 64.476 * [taylor]: Taking taylor expansion of (/ PI n) in n 64.476 * [taylor]: Taking taylor expansion of PI in n 64.476 * [backup-simplify]: Simplify PI into PI 64.476 * [taylor]: Taking taylor expansion of n in n 64.476 * [backup-simplify]: Simplify 0 into 0 64.476 * [backup-simplify]: Simplify 1 into 1 64.476 * [backup-simplify]: Simplify (/ PI 1) into PI 64.476 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 64.476 * [taylor]: Taking taylor expansion of -2 in n 64.476 * [backup-simplify]: Simplify -2 into -2 64.476 * [taylor]: Taking taylor expansion of (/ PI n) in n 64.476 * [taylor]: Taking taylor expansion of PI in n 64.477 * [backup-simplify]: Simplify PI into PI 64.477 * [taylor]: Taking taylor expansion of n in n 64.477 * [backup-simplify]: Simplify 0 into 0 64.477 * [backup-simplify]: Simplify 1 into 1 64.477 * [backup-simplify]: Simplify (/ PI 1) into PI 64.478 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 64.478 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 64.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 64.480 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 64.480 * [backup-simplify]: Simplify 0 into 0 64.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 64.482 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 64.482 * [backup-simplify]: Simplify 0 into 0 64.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 64.484 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 64.484 * [backup-simplify]: Simplify 0 into 0 64.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 64.489 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 64.489 * [backup-simplify]: Simplify 0 into 0 64.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 64.492 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 64.492 * [backup-simplify]: Simplify 0 into 0 64.493 * [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 64.494 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 64.494 * [backup-simplify]: Simplify 0 into 0 64.495 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 64.495 * * * [progress]: simplifying candidates 64.495 * * * * [progress]: [ 1 / 234 ] simplifiying candidate # 64.495 * * * * [progress]: [ 2 / 234 ] simplifiying candidate # 64.495 * * * * [progress]: [ 3 / 234 ] simplifiying candidate # 64.496 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) 64.496 * * [simplify]: iters left: 6 (14 enodes) 64.504 * * [simplify]: iters left: 5 (60 enodes) 64.518 * * [simplify]: iters left: 4 (108 enodes) 64.538 * * [simplify]: iters left: 3 (255 enodes) 64.634 * * [simplify]: Extracting #0: cost 1 inf + 0 64.634 * * [simplify]: Extracting #1: cost 34 inf + 0 64.634 * * [simplify]: Extracting #2: cost 122 inf + 73 64.635 * * [simplify]: Extracting #3: cost 134 inf + 2876 64.638 * * [simplify]: Extracting #4: cost 49 inf + 20493 64.644 * * [simplify]: Extracting #5: cost 4 inf + 30853 64.651 * * [simplify]: Extracting #6: cost 0 inf + 31808 64.658 * [simplify]: Simplified to (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI))))) 64.658 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI))))))))) 64.658 * * * * [progress]: [ 4 / 234 ] simplifiying candidate # 64.658 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 64.658 * * [simplify]: iters left: 6 (13 enodes) 64.663 * * [simplify]: iters left: 5 (58 enodes) 64.683 * * [simplify]: iters left: 4 (101 enodes) 64.716 * * [simplify]: iters left: 3 (211 enodes) 64.784 * * [simplify]: Extracting #0: cost 1 inf + 0 64.784 * * [simplify]: Extracting #1: cost 28 inf + 0 64.784 * * [simplify]: Extracting #2: cost 110 inf + 73 64.785 * * [simplify]: Extracting #3: cost 127 inf + 1744 64.787 * * [simplify]: Extracting #4: cost 73 inf + 10230 64.790 * * [simplify]: Extracting #5: cost 26 inf + 20266 64.795 * * [simplify]: Extracting #6: cost 6 inf + 24692 64.800 * * [simplify]: Extracting #7: cost 0 inf + 26084 64.807 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) 64.807 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))))))) 64.807 * * * * [progress]: [ 5 / 234 ] simplifiying candidate # 64.807 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 64.808 * * [simplify]: iters left: 6 (12 enodes) 64.815 * * [simplify]: iters left: 5 (57 enodes) 64.836 * * [simplify]: iters left: 4 (111 enodes) 64.870 * * [simplify]: iters left: 3 (214 enodes) 64.933 * * [simplify]: iters left: 2 (472 enodes) 65.102 * * [simplify]: Extracting #0: cost 1 inf + 0 65.103 * * [simplify]: Extracting #1: cost 40 inf + 0 65.103 * * [simplify]: Extracting #2: cost 158 inf + 4 65.105 * * [simplify]: Extracting #3: cost 193 inf + 1443 65.114 * * [simplify]: Extracting #4: cost 88 inf + 19136 65.131 * * [simplify]: Extracting #5: cost 7 inf + 36795 65.150 * * [simplify]: Extracting #6: cost 0 inf + 38243 65.172 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4) 65.172 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4))))) 65.173 * * * * [progress]: [ 6 / 234 ] simplifiying candidate # 65.173 * * * * [progress]: [ 7 / 234 ] simplifiying candidate # 65.173 * [simplify]: Simplifying (* n (* 2 PI)) 65.173 * * [simplify]: iters left: 4 (5 enodes) 65.176 * * [simplify]: iters left: 3 (19 enodes) 65.182 * * [simplify]: iters left: 2 (27 enodes) 65.190 * * [simplify]: iters left: 1 (32 enodes) 65.198 * * [simplify]: Extracting #0: cost 1 inf + 0 65.198 * * [simplify]: Extracting #1: cost 8 inf + 0 65.198 * * [simplify]: Extracting #2: cost 7 inf + 45 65.199 * * [simplify]: Extracting #3: cost 0 inf + 421 65.199 * [simplify]: Simplified to (* (* PI 2) n) 65.199 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2)))))) 65.199 * * * * [progress]: [ 8 / 234 ] simplifiying candidate # 65.199 * [simplify]: Simplifying (* n (* 2 PI)) 65.199 * * [simplify]: iters left: 4 (5 enodes) 65.202 * * [simplify]: iters left: 3 (19 enodes) 65.208 * * [simplify]: iters left: 2 (27 enodes) 65.216 * * [simplify]: iters left: 1 (32 enodes) 65.225 * * [simplify]: Extracting #0: cost 1 inf + 0 65.225 * * [simplify]: Extracting #1: cost 8 inf + 0 65.225 * * [simplify]: Extracting #2: cost 7 inf + 45 65.225 * * [simplify]: Extracting #3: cost 0 inf + 421 65.225 * [simplify]: Simplified to (* (* PI 2) n) 65.225 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2)))))) 65.226 * * * * [progress]: [ 9 / 234 ] simplifiying candidate # 65.226 * [simplify]: Simplifying (* n (* 2 PI)) 65.226 * * [simplify]: iters left: 4 (5 enodes) 65.229 * * [simplify]: iters left: 3 (19 enodes) 65.235 * * [simplify]: iters left: 2 (27 enodes) 65.243 * * [simplify]: iters left: 1 (32 enodes) 65.252 * * [simplify]: Extracting #0: cost 1 inf + 0 65.252 * * [simplify]: Extracting #1: cost 8 inf + 0 65.252 * * [simplify]: Extracting #2: cost 7 inf + 45 65.252 * * [simplify]: Extracting #3: cost 0 inf + 421 65.252 * [simplify]: Simplified to (* (* PI 2) n) 65.252 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2)))))) 65.252 * * * * [progress]: [ 10 / 234 ] simplifiying candidate # 65.253 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2)) 65.253 * * [simplify]: iters left: 5 (9 enodes) 65.258 * * [simplify]: iters left: 4 (37 enodes) 65.270 * * [simplify]: iters left: 3 (57 enodes) 65.288 * * [simplify]: iters left: 2 (93 enodes) 65.319 * * [simplify]: iters left: 1 (170 enodes) 65.356 * * [simplify]: Extracting #0: cost 1 inf + 0 65.356 * * [simplify]: Extracting #1: cost 13 inf + 0 65.356 * * [simplify]: Extracting #2: cost 59 inf + 1 65.356 * * [simplify]: Extracting #3: cost 78 inf + 176 65.357 * * [simplify]: Extracting #4: cost 40 inf + 3875 65.361 * * [simplify]: Extracting #5: cost 7 inf + 16988 65.366 * * [simplify]: Extracting #6: cost 0 inf + 20577 65.372 * * [simplify]: Extracting #7: cost 0 inf + 20336 65.378 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4)) 65.378 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* (* PI 2) n) (/ k 4)))))) 65.379 * * * * [progress]: [ 11 / 234 ] simplifiying candidate # 65.379 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2)) 65.379 * * [simplify]: iters left: 6 (7 enodes) 65.384 * * [simplify]: iters left: 5 (32 enodes) 65.391 * * [simplify]: iters left: 4 (47 enodes) 65.398 * * [simplify]: iters left: 3 (53 enodes) 65.406 * * [simplify]: iters left: 2 (60 enodes) 65.417 * * [simplify]: Extracting #0: cost 1 inf + 0 65.417 * * [simplify]: Extracting #1: cost 3 inf + 0 65.418 * * [simplify]: Extracting #2: cost 11 inf + 0 65.418 * * [simplify]: Extracting #3: cost 17 inf + 3 65.418 * * [simplify]: Extracting #4: cost 14 inf + 129 65.418 * * [simplify]: Extracting #5: cost 3 inf + 794 65.418 * * [simplify]: Extracting #6: cost 0 inf + 1162 65.418 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4))) 65.419 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4))))))) 65.419 * * * * [progress]: [ 12 / 234 ] simplifiying candidate # 65.419 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2)) 65.419 * * [simplify]: iters left: 6 (7 enodes) 65.424 * * [simplify]: iters left: 5 (32 enodes) 65.436 * * [simplify]: iters left: 4 (47 enodes) 65.450 * * [simplify]: iters left: 3 (53 enodes) 65.466 * * [simplify]: iters left: 2 (60 enodes) 65.483 * * [simplify]: Extracting #0: cost 1 inf + 0 65.483 * * [simplify]: Extracting #1: cost 3 inf + 0 65.483 * * [simplify]: Extracting #2: cost 11 inf + 0 65.483 * * [simplify]: Extracting #3: cost 17 inf + 3 65.483 * * [simplify]: Extracting #4: cost 14 inf + 129 65.483 * * [simplify]: Extracting #5: cost 3 inf + 794 65.484 * * [simplify]: Extracting #6: cost 0 inf + 1082 65.484 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4))) 65.484 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4))))))) 65.484 * * * * [progress]: [ 13 / 234 ] simplifiying candidate # 65.484 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 65.484 * * [simplify]: iters left: 6 (8 enodes) 65.487 * * [simplify]: iters left: 5 (32 enodes) 65.492 * * [simplify]: iters left: 4 (41 enodes) 65.499 * * [simplify]: Extracting #0: cost 1 inf + 0 65.499 * * [simplify]: Extracting #1: cost 4 inf + 0 65.499 * * [simplify]: Extracting #2: cost 8 inf + 0 65.499 * * [simplify]: Extracting #3: cost 9 inf + 163 65.499 * * [simplify]: Extracting #4: cost 13 inf + 164 65.499 * * [simplify]: Extracting #5: cost 10 inf + 249 65.499 * * [simplify]: Extracting #6: cost 3 inf + 986 65.500 * * [simplify]: Extracting #7: cost 0 inf + 1474 65.500 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 65.500 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)))))) 65.500 * * * * [progress]: [ 14 / 234 ] simplifiying candidate # 65.500 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 65.500 * * [simplify]: iters left: 6 (8 enodes) 65.503 * * [simplify]: iters left: 5 (32 enodes) 65.508 * * [simplify]: iters left: 4 (41 enodes) 65.518 * * [simplify]: Extracting #0: cost 1 inf + 0 65.518 * * [simplify]: Extracting #1: cost 4 inf + 0 65.519 * * [simplify]: Extracting #2: cost 8 inf + 0 65.519 * * [simplify]: Extracting #3: cost 9 inf + 83 65.519 * * [simplify]: Extracting #4: cost 13 inf + 84 65.519 * * [simplify]: Extracting #5: cost 10 inf + 169 65.519 * * [simplify]: Extracting #6: cost 3 inf + 866 65.520 * * [simplify]: Extracting #7: cost 0 inf + 1314 65.520 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 65.520 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)))))) 65.520 * * * * [progress]: [ 15 / 234 ] simplifiying candidate # 65.521 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2) 65.521 * * [simplify]: iters left: 6 (7 enodes) 65.525 * * [simplify]: iters left: 5 (29 enodes) 65.537 * * [simplify]: iters left: 4 (38 enodes) 65.543 * * [simplify]: Extracting #0: cost 1 inf + 0 65.543 * * [simplify]: Extracting #1: cost 4 inf + 0 65.543 * * [simplify]: Extracting #2: cost 5 inf + 1 65.543 * * [simplify]: Extracting #3: cost 9 inf + 1 65.543 * * [simplify]: Extracting #4: cost 13 inf + 2 65.543 * * [simplify]: Extracting #5: cost 12 inf + 4 65.543 * * [simplify]: Extracting #6: cost 2 inf + 746 65.544 * * [simplify]: Extracting #7: cost 0 inf + 1152 65.544 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2) 65.544 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2))))) 65.544 * * * * [progress]: [ 16 / 234 ] simplifiying candidate # 65.544 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 65.544 * * [simplify]: iters left: 6 (8 enodes) 65.547 * * [simplify]: iters left: 5 (32 enodes) 65.553 * * [simplify]: iters left: 4 (41 enodes) 65.559 * * [simplify]: Extracting #0: cost 1 inf + 0 65.559 * * [simplify]: Extracting #1: cost 4 inf + 0 65.559 * * [simplify]: Extracting #2: cost 8 inf + 0 65.559 * * [simplify]: Extracting #3: cost 9 inf + 163 65.559 * * [simplify]: Extracting #4: cost 13 inf + 164 65.559 * * [simplify]: Extracting #5: cost 10 inf + 249 65.559 * * [simplify]: Extracting #6: cost 3 inf + 906 65.559 * * [simplify]: Extracting #7: cost 0 inf + 1314 65.560 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 65.560 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)))))) 65.560 * * * * [progress]: [ 17 / 234 ] simplifiying candidate # 65.560 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 65.560 * * [simplify]: iters left: 6 (8 enodes) 65.563 * * [simplify]: iters left: 5 (32 enodes) 65.569 * * [simplify]: iters left: 4 (41 enodes) 65.579 * * [simplify]: Extracting #0: cost 1 inf + 0 65.579 * * [simplify]: Extracting #1: cost 4 inf + 0 65.579 * * [simplify]: Extracting #2: cost 8 inf + 0 65.579 * * [simplify]: Extracting #3: cost 9 inf + 83 65.579 * * [simplify]: Extracting #4: cost 13 inf + 84 65.579 * * [simplify]: Extracting #5: cost 10 inf + 169 65.580 * * [simplify]: Extracting #6: cost 3 inf + 786 65.580 * * [simplify]: Extracting #7: cost 0 inf + 1154 65.581 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 65.581 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))))) 65.581 * * * * [progress]: [ 18 / 234 ] simplifiying candidate # 65.581 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2) 65.581 * * [simplify]: iters left: 6 (7 enodes) 65.586 * * [simplify]: iters left: 5 (29 enodes) 65.595 * * [simplify]: iters left: 4 (38 enodes) 65.606 * * [simplify]: Extracting #0: cost 1 inf + 0 65.606 * * [simplify]: Extracting #1: cost 4 inf + 0 65.606 * * [simplify]: Extracting #2: cost 5 inf + 1 65.606 * * [simplify]: Extracting #3: cost 9 inf + 1 65.607 * * [simplify]: Extracting #4: cost 13 inf + 2 65.607 * * [simplify]: Extracting #5: cost 12 inf + 4 65.607 * * [simplify]: Extracting #6: cost 2 inf + 666 65.607 * * [simplify]: Extracting #7: cost 0 inf + 992 65.608 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2) 65.608 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2))))) 65.608 * * * * [progress]: [ 19 / 234 ] simplifiying candidate # 65.608 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) 65.608 * * [simplify]: iters left: 6 (8 enodes) 65.613 * * [simplify]: iters left: 5 (30 enodes) 65.623 * * [simplify]: iters left: 4 (37 enodes) 65.634 * * [simplify]: Extracting #0: cost 1 inf + 0 65.634 * * [simplify]: Extracting #1: cost 6 inf + 0 65.634 * * [simplify]: Extracting #2: cost 12 inf + 0 65.634 * * [simplify]: Extracting #3: cost 11 inf + 405 65.634 * * [simplify]: Extracting #4: cost 10 inf + 407 65.634 * * [simplify]: Extracting #5: cost 4 inf + 1220 65.635 * * [simplify]: Extracting #6: cost 0 inf + 1869 65.635 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 65.635 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))))))) 65.636 * * * * [progress]: [ 20 / 234 ] simplifiying candidate # 65.636 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 65.636 * * [simplify]: iters left: 6 (9 enodes) 65.642 * * [simplify]: iters left: 5 (33 enodes) 65.653 * * [simplify]: iters left: 4 (43 enodes) 65.668 * * [simplify]: iters left: 3 (45 enodes) 65.682 * * [simplify]: Extracting #0: cost 1 inf + 0 65.682 * * [simplify]: Extracting #1: cost 8 inf + 0 65.682 * * [simplify]: Extracting #2: cost 16 inf + 0 65.682 * * [simplify]: Extracting #3: cost 16 inf + 284 65.682 * * [simplify]: Extracting #4: cost 11 inf + 610 65.683 * * [simplify]: Extracting #5: cost 8 inf + 815 65.683 * * [simplify]: Extracting #6: cost 0 inf + 2517 65.684 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 65.684 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)))))) 65.684 * * * * [progress]: [ 21 / 234 ] simplifiying candidate # 65.685 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) 65.685 * * [simplify]: iters left: 6 (8 enodes) 65.690 * * [simplify]: iters left: 5 (30 enodes) 65.695 * * [simplify]: iters left: 4 (40 enodes) 65.701 * * [simplify]: iters left: 3 (42 enodes) 65.707 * * [simplify]: Extracting #0: cost 1 inf + 0 65.707 * * [simplify]: Extracting #1: cost 8 inf + 0 65.707 * * [simplify]: Extracting #2: cost 12 inf + 82 65.707 * * [simplify]: Extracting #3: cost 13 inf + 405 65.708 * * [simplify]: Extracting #4: cost 12 inf + 407 65.708 * * [simplify]: Extracting #5: cost 5 inf + 1383 65.708 * * [simplify]: Extracting #6: cost 0 inf + 2195 65.708 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2))) 65.708 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2))))))) 65.708 * * * * [progress]: [ 22 / 234 ] simplifiying candidate # 65.709 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 65.709 * * [simplify]: iters left: 6 (9 enodes) 65.712 * * [simplify]: iters left: 5 (33 enodes) 65.718 * * [simplify]: iters left: 4 (43 enodes) 65.724 * * [simplify]: iters left: 3 (45 enodes) 65.731 * * [simplify]: Extracting #0: cost 1 inf + 0 65.731 * * [simplify]: Extracting #1: cost 8 inf + 0 65.731 * * [simplify]: Extracting #2: cost 16 inf + 0 65.731 * * [simplify]: Extracting #3: cost 16 inf + 284 65.731 * * [simplify]: Extracting #4: cost 11 inf + 610 65.731 * * [simplify]: Extracting #5: cost 8 inf + 815 65.732 * * [simplify]: Extracting #6: cost 0 inf + 2517 65.732 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 65.732 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)))))) 65.732 * * * * [progress]: [ 23 / 234 ] simplifiying candidate # 65.732 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) 65.732 * * [simplify]: iters left: 6 (8 enodes) 65.735 * * [simplify]: iters left: 5 (30 enodes) 65.745 * * [simplify]: iters left: 4 (35 enodes) 65.757 * * [simplify]: Extracting #0: cost 1 inf + 0 65.757 * * [simplify]: Extracting #1: cost 6 inf + 0 65.757 * * [simplify]: Extracting #2: cost 8 inf + 42 65.757 * * [simplify]: Extracting #3: cost 11 inf + 83 65.757 * * [simplify]: Extracting #4: cost 10 inf + 85 65.757 * * [simplify]: Extracting #5: cost 4 inf + 658 65.758 * * [simplify]: Extracting #6: cost 0 inf + 1227 65.758 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 65.758 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2))))) 65.758 * * * * [progress]: [ 24 / 234 ] simplifiying candidate # 65.759 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) 65.759 * * [simplify]: iters left: 6 (8 enodes) 65.764 * * [simplify]: iters left: 5 (30 enodes) 65.774 * * [simplify]: iters left: 4 (40 enodes) 65.788 * * [simplify]: iters left: 3 (42 enodes) 65.796 * * [simplify]: Extracting #0: cost 1 inf + 0 65.796 * * [simplify]: Extracting #1: cost 8 inf + 0 65.796 * * [simplify]: Extracting #2: cost 12 inf + 42 65.796 * * [simplify]: Extracting #3: cost 13 inf + 245 65.796 * * [simplify]: Extracting #4: cost 12 inf + 247 65.796 * * [simplify]: Extracting #5: cost 5 inf + 1143 65.796 * * [simplify]: Extracting #6: cost 0 inf + 1875 65.797 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2))) 65.797 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2))))))) 65.797 * * * * [progress]: [ 25 / 234 ] simplifiying candidate # 65.797 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) 65.797 * * [simplify]: iters left: 6 (8 enodes) 65.800 * * [simplify]: iters left: 5 (30 enodes) 65.805 * * [simplify]: iters left: 4 (40 enodes) 65.811 * * [simplify]: iters left: 3 (42 enodes) 65.817 * * [simplify]: Extracting #0: cost 1 inf + 0 65.817 * * [simplify]: Extracting #1: cost 8 inf + 0 65.817 * * [simplify]: Extracting #2: cost 11 inf + 203 65.817 * * [simplify]: Extracting #3: cost 13 inf + 405 65.818 * * [simplify]: Extracting #4: cost 12 inf + 407 65.818 * * [simplify]: Extracting #5: cost 3 inf + 1789 65.818 * * [simplify]: Extracting #6: cost 0 inf + 2195 65.818 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2)) 65.818 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2)))))) 65.819 * * * * [progress]: [ 26 / 234 ] simplifiying candidate # 65.819 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) 65.819 * * [simplify]: iters left: 6 (8 enodes) 65.821 * * [simplify]: iters left: 5 (30 enodes) 65.830 * * [simplify]: iters left: 4 (40 enodes) 65.841 * * [simplify]: iters left: 3 (42 enodes) 65.854 * * [simplify]: Extracting #0: cost 1 inf + 0 65.854 * * [simplify]: Extracting #1: cost 8 inf + 0 65.854 * * [simplify]: Extracting #2: cost 11 inf + 123 65.854 * * [simplify]: Extracting #3: cost 13 inf + 245 65.854 * * [simplify]: Extracting #4: cost 12 inf + 247 65.855 * * [simplify]: Extracting #5: cost 3 inf + 1509 65.855 * * [simplify]: Extracting #6: cost 0 inf + 1875 65.856 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2)) 65.856 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2)))))) 65.856 * * * * [progress]: [ 27 / 234 ] simplifiying candidate # 65.857 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2) 65.857 * * [simplify]: iters left: 6 (7 enodes) 65.861 * * [simplify]: iters left: 5 (28 enodes) 65.870 * * [simplify]: iters left: 4 (35 enodes) 65.879 * * [simplify]: Extracting #0: cost 1 inf + 0 65.879 * * [simplify]: Extracting #1: cost 6 inf + 0 65.879 * * [simplify]: Extracting #2: cost 7 inf + 2 65.879 * * [simplify]: Extracting #3: cost 11 inf + 2 65.880 * * [simplify]: Extracting #4: cost 9 inf + 45 65.880 * * [simplify]: Extracting #5: cost 4 inf + 455 65.880 * * [simplify]: Extracting #6: cost 0 inf + 1066 65.880 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4) 65.880 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4))))) 65.881 * * * * [progress]: [ 28 / 234 ] simplifiying candidate # 65.881 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) 65.881 * * [simplify]: iters left: 6 (8 enodes) 65.884 * * [simplify]: iters left: 5 (30 enodes) 65.889 * * [simplify]: iters left: 4 (37 enodes) 65.897 * * [simplify]: Extracting #0: cost 1 inf + 0 65.897 * * [simplify]: Extracting #1: cost 6 inf + 0 65.897 * * [simplify]: Extracting #2: cost 12 inf + 0 65.897 * * [simplify]: Extracting #3: cost 11 inf + 405 65.897 * * [simplify]: Extracting #4: cost 10 inf + 407 65.897 * * [simplify]: Extracting #5: cost 4 inf + 1100 65.897 * * [simplify]: Extracting #6: cost 0 inf + 1629 65.898 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 65.898 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))))) 65.898 * * * * [progress]: [ 29 / 234 ] simplifiying candidate # 65.898 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 65.898 * * [simplify]: iters left: 6 (9 enodes) 65.901 * * [simplify]: iters left: 5 (33 enodes) 65.907 * * [simplify]: iters left: 4 (43 enodes) 65.913 * * [simplify]: iters left: 3 (45 enodes) 65.925 * * [simplify]: Extracting #0: cost 1 inf + 0 65.925 * * [simplify]: Extracting #1: cost 8 inf + 0 65.925 * * [simplify]: Extracting #2: cost 16 inf + 0 65.926 * * [simplify]: Extracting #3: cost 16 inf + 284 65.926 * * [simplify]: Extracting #4: cost 11 inf + 610 65.926 * * [simplify]: Extracting #5: cost 8 inf + 775 65.927 * * [simplify]: Extracting #6: cost 0 inf + 2197 65.927 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 65.927 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)))))) 65.928 * * * * [progress]: [ 30 / 234 ] simplifiying candidate # 65.928 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) 65.928 * * [simplify]: iters left: 6 (8 enodes) 65.933 * * [simplify]: iters left: 5 (30 enodes) 65.943 * * [simplify]: iters left: 4 (40 enodes) 65.955 * * [simplify]: iters left: 3 (42 enodes) 65.967 * * [simplify]: Extracting #0: cost 1 inf + 0 65.967 * * [simplify]: Extracting #1: cost 8 inf + 0 65.967 * * [simplify]: Extracting #2: cost 12 inf + 82 65.967 * * [simplify]: Extracting #3: cost 13 inf + 405 65.968 * * [simplify]: Extracting #4: cost 12 inf + 407 65.968 * * [simplify]: Extracting #5: cost 5 inf + 1223 65.968 * * [simplify]: Extracting #6: cost 0 inf + 1875 65.969 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2))) 65.969 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2))))))) 65.969 * * * * [progress]: [ 31 / 234 ] simplifiying candidate # 65.970 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 65.970 * * [simplify]: iters left: 6 (9 enodes) 65.975 * * [simplify]: iters left: 5 (33 enodes) 65.986 * * [simplify]: iters left: 4 (43 enodes) 65.999 * * [simplify]: iters left: 3 (45 enodes) 66.013 * * [simplify]: Extracting #0: cost 1 inf + 0 66.013 * * [simplify]: Extracting #1: cost 8 inf + 0 66.013 * * [simplify]: Extracting #2: cost 16 inf + 0 66.014 * * [simplify]: Extracting #3: cost 16 inf + 284 66.014 * * [simplify]: Extracting #4: cost 11 inf + 610 66.014 * * [simplify]: Extracting #5: cost 8 inf + 775 66.015 * * [simplify]: Extracting #6: cost 0 inf + 2197 66.015 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 66.015 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)))))) 66.016 * * * * [progress]: [ 32 / 234 ] simplifiying candidate # 66.016 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 66.016 * * [simplify]: iters left: 6 (8 enodes) 66.021 * * [simplify]: iters left: 5 (30 enodes) 66.033 * * [simplify]: iters left: 4 (35 enodes) 66.044 * * [simplify]: Extracting #0: cost 1 inf + 0 66.044 * * [simplify]: Extracting #1: cost 6 inf + 0 66.044 * * [simplify]: Extracting #2: cost 8 inf + 42 66.044 * * [simplify]: Extracting #3: cost 11 inf + 83 66.044 * * [simplify]: Extracting #4: cost 10 inf + 85 66.044 * * [simplify]: Extracting #5: cost 4 inf + 538 66.045 * * [simplify]: Extracting #6: cost 0 inf + 987 66.045 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 66.045 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2))))) 66.045 * * * * [progress]: [ 33 / 234 ] simplifiying candidate # 66.046 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) 66.046 * * [simplify]: iters left: 6 (8 enodes) 66.051 * * [simplify]: iters left: 5 (30 enodes) 66.061 * * [simplify]: iters left: 4 (40 enodes) 66.074 * * [simplify]: iters left: 3 (42 enodes) 66.087 * * [simplify]: Extracting #0: cost 1 inf + 0 66.087 * * [simplify]: Extracting #1: cost 8 inf + 0 66.087 * * [simplify]: Extracting #2: cost 12 inf + 42 66.087 * * [simplify]: Extracting #3: cost 13 inf + 245 66.087 * * [simplify]: Extracting #4: cost 12 inf + 247 66.087 * * [simplify]: Extracting #5: cost 5 inf + 983 66.088 * * [simplify]: Extracting #6: cost 0 inf + 1555 66.088 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2))) 66.089 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2))))))) 66.089 * * * * [progress]: [ 34 / 234 ] simplifiying candidate # 66.089 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) 66.089 * * [simplify]: iters left: 6 (8 enodes) 66.094 * * [simplify]: iters left: 5 (30 enodes) 66.099 * * [simplify]: iters left: 4 (40 enodes) 66.105 * * [simplify]: iters left: 3 (42 enodes) 66.112 * * [simplify]: Extracting #0: cost 1 inf + 0 66.112 * * [simplify]: Extracting #1: cost 8 inf + 0 66.112 * * [simplify]: Extracting #2: cost 11 inf + 203 66.112 * * [simplify]: Extracting #3: cost 13 inf + 405 66.112 * * [simplify]: Extracting #4: cost 12 inf + 407 66.112 * * [simplify]: Extracting #5: cost 3 inf + 1549 66.113 * * [simplify]: Extracting #6: cost 0 inf + 1875 66.113 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2)) 66.113 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2)))))) 66.113 * * * * [progress]: [ 35 / 234 ] simplifiying candidate # 66.113 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) 66.113 * * [simplify]: iters left: 6 (8 enodes) 66.116 * * [simplify]: iters left: 5 (30 enodes) 66.121 * * [simplify]: iters left: 4 (40 enodes) 66.127 * * [simplify]: iters left: 3 (42 enodes) 66.133 * * [simplify]: Extracting #0: cost 1 inf + 0 66.133 * * [simplify]: Extracting #1: cost 8 inf + 0 66.133 * * [simplify]: Extracting #2: cost 11 inf + 123 66.133 * * [simplify]: Extracting #3: cost 13 inf + 245 66.134 * * [simplify]: Extracting #4: cost 12 inf + 247 66.134 * * [simplify]: Extracting #5: cost 3 inf + 1269 66.134 * * [simplify]: Extracting #6: cost 0 inf + 1555 66.134 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2)) 66.134 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2)))))) 66.134 * * * * [progress]: [ 36 / 234 ] simplifiying candidate # 66.135 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2) 66.135 * * [simplify]: iters left: 6 (7 enodes) 66.137 * * [simplify]: iters left: 5 (28 enodes) 66.147 * * [simplify]: iters left: 4 (35 enodes) 66.157 * * [simplify]: Extracting #0: cost 1 inf + 0 66.157 * * [simplify]: Extracting #1: cost 6 inf + 0 66.157 * * [simplify]: Extracting #2: cost 7 inf + 2 66.158 * * [simplify]: Extracting #3: cost 11 inf + 2 66.158 * * [simplify]: Extracting #4: cost 9 inf + 45 66.158 * * [simplify]: Extracting #5: cost 4 inf + 375 66.158 * * [simplify]: Extracting #6: cost 0 inf + 826 66.159 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4) 66.159 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4))))) 66.159 * * * * [progress]: [ 37 / 234 ] simplifiying candidate # 66.159 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 66.159 * * [simplify]: iters left: 6 (7 enodes) 66.164 * * [simplify]: iters left: 5 (30 enodes) 66.175 * * [simplify]: iters left: 4 (49 enodes) 66.190 * * [simplify]: iters left: 3 (59 enodes) 66.201 * * [simplify]: iters left: 2 (64 enodes) 66.210 * * [simplify]: Extracting #0: cost 1 inf + 0 66.210 * * [simplify]: Extracting #1: cost 9 inf + 0 66.211 * * [simplify]: Extracting #2: cost 23 inf + 0 66.211 * * [simplify]: Extracting #3: cost 24 inf + 3 66.211 * * [simplify]: Extracting #4: cost 15 inf + 980 66.211 * * [simplify]: Extracting #5: cost 1 inf + 3007 66.212 * * [simplify]: Extracting #6: cost 0 inf + 3169 66.212 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 66.212 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))))) 66.212 * * * * [progress]: [ 38 / 234 ] simplifiying candidate # 66.212 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 66.213 * * [simplify]: iters left: 6 (8 enodes) 66.216 * * [simplify]: iters left: 5 (33 enodes) 66.222 * * [simplify]: iters left: 4 (55 enodes) 66.234 * * [simplify]: iters left: 3 (72 enodes) 66.255 * * [simplify]: iters left: 2 (84 enodes) 66.281 * * [simplify]: iters left: 1 (88 enodes) 66.303 * * [simplify]: Extracting #0: cost 1 inf + 0 66.303 * * [simplify]: Extracting #1: cost 11 inf + 0 66.303 * * [simplify]: Extracting #2: cost 30 inf + 0 66.304 * * [simplify]: Extracting #3: cost 33 inf + 84 66.304 * * [simplify]: Extracting #4: cost 12 inf + 2402 66.305 * * [simplify]: Extracting #5: cost 0 inf + 4469 66.307 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 66.307 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)))))) 66.307 * * * * [progress]: [ 39 / 234 ] simplifiying candidate # 66.308 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 66.308 * * [simplify]: iters left: 6 (7 enodes) 66.312 * * [simplify]: iters left: 5 (30 enodes) 66.323 * * [simplify]: iters left: 4 (52 enodes) 66.332 * * [simplify]: iters left: 3 (70 enodes) 66.342 * * [simplify]: iters left: 2 (81 enodes) 66.354 * * [simplify]: iters left: 1 (84 enodes) 66.376 * * [simplify]: Extracting #0: cost 1 inf + 0 66.377 * * [simplify]: Extracting #1: cost 11 inf + 0 66.377 * * [simplify]: Extracting #2: cost 25 inf + 203 66.377 * * [simplify]: Extracting #3: cost 25 inf + 530 66.378 * * [simplify]: Extracting #4: cost 4 inf + 2936 66.379 * * [simplify]: Extracting #5: cost 0 inf + 3504 66.380 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 66.380 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2)))))) 66.380 * * * * [progress]: [ 40 / 234 ] simplifiying candidate # 66.381 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 66.381 * * [simplify]: iters left: 6 (8 enodes) 66.384 * * [simplify]: iters left: 5 (33 enodes) 66.392 * * [simplify]: iters left: 4 (55 enodes) 66.400 * * [simplify]: iters left: 3 (72 enodes) 66.411 * * [simplify]: iters left: 2 (84 enodes) 66.435 * * [simplify]: iters left: 1 (88 enodes) 66.457 * * [simplify]: Extracting #0: cost 1 inf + 0 66.457 * * [simplify]: Extracting #1: cost 11 inf + 0 66.458 * * [simplify]: Extracting #2: cost 30 inf + 0 66.458 * * [simplify]: Extracting #3: cost 33 inf + 44 66.458 * * [simplify]: Extracting #4: cost 12 inf + 2362 66.460 * * [simplify]: Extracting #5: cost 0 inf + 4469 66.461 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 66.461 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)))))) 66.462 * * * * [progress]: [ 41 / 234 ] simplifiying candidate # 66.462 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 66.462 * * [simplify]: iters left: 6 (7 enodes) 66.466 * * [simplify]: iters left: 5 (30 enodes) 66.477 * * [simplify]: iters left: 4 (48 enodes) 66.489 * * [simplify]: iters left: 3 (56 enodes) 66.497 * * [simplify]: Extracting #0: cost 1 inf + 0 66.497 * * [simplify]: Extracting #1: cost 8 inf + 0 66.497 * * [simplify]: Extracting #2: cost 15 inf + 43 66.497 * * [simplify]: Extracting #3: cost 16 inf + 86 66.497 * * [simplify]: Extracting #4: cost 5 inf + 911 66.498 * * [simplify]: Extracting #5: cost 1 inf + 1198 66.498 * * [simplify]: Extracting #6: cost 0 inf + 1320 66.498 * [simplify]: Simplified to (/ (- 1 k) 2) 66.498 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2))))) 66.499 * * * * [progress]: [ 42 / 234 ] simplifiying candidate # 66.499 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 66.499 * * [simplify]: iters left: 6 (7 enodes) 66.503 * * [simplify]: iters left: 5 (30 enodes) 66.508 * * [simplify]: iters left: 4 (52 enodes) 66.518 * * [simplify]: iters left: 3 (70 enodes) 66.535 * * [simplify]: iters left: 2 (81 enodes) 66.546 * * [simplify]: iters left: 1 (84 enodes) 66.556 * * [simplify]: Extracting #0: cost 1 inf + 0 66.557 * * [simplify]: Extracting #1: cost 11 inf + 0 66.557 * * [simplify]: Extracting #2: cost 25 inf + 123 66.557 * * [simplify]: Extracting #3: cost 25 inf + 330 66.557 * * [simplify]: Extracting #4: cost 4 inf + 2256 66.558 * * [simplify]: Extracting #5: cost 0 inf + 2704 66.558 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 66.558 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2)))))) 66.559 * * * * [progress]: [ 43 / 234 ] simplifiying candidate # 66.559 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 66.559 * * [simplify]: iters left: 6 (7 enodes) 66.564 * * [simplify]: iters left: 5 (31 enodes) 66.575 * * [simplify]: iters left: 4 (51 enodes) 66.591 * * [simplify]: iters left: 3 (64 enodes) 66.609 * * [simplify]: iters left: 2 (77 enodes) 66.633 * * [simplify]: iters left: 1 (84 enodes) 66.655 * * [simplify]: Extracting #0: cost 1 inf + 0 66.655 * * [simplify]: Extracting #1: cost 11 inf + 0 66.655 * * [simplify]: Extracting #2: cost 26 inf + 82 66.655 * * [simplify]: Extracting #3: cost 24 inf + 692 66.656 * * [simplify]: Extracting #4: cost 3 inf + 3057 66.657 * * [simplify]: Extracting #5: cost 0 inf + 3504 66.658 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 66.659 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2))))))) 66.659 * * * * [progress]: [ 44 / 234 ] simplifiying candidate # 66.659 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 66.659 * * [simplify]: iters left: 6 (7 enodes) 66.664 * * [simplify]: iters left: 5 (31 enodes) 66.674 * * [simplify]: iters left: 4 (51 enodes) 66.691 * * [simplify]: iters left: 3 (64 enodes) 66.708 * * [simplify]: iters left: 2 (77 enodes) 66.719 * * [simplify]: iters left: 1 (84 enodes) 66.731 * * [simplify]: Extracting #0: cost 1 inf + 0 66.731 * * [simplify]: Extracting #1: cost 11 inf + 0 66.731 * * [simplify]: Extracting #2: cost 26 inf + 42 66.731 * * [simplify]: Extracting #3: cost 24 inf + 452 66.731 * * [simplify]: Extracting #4: cost 3 inf + 2337 66.732 * * [simplify]: Extracting #5: cost 0 inf + 2704 66.732 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 66.732 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2))))))) 66.733 * * * * [progress]: [ 45 / 234 ] simplifiying candidate # 66.733 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 66.733 * * [simplify]: iters left: 6 (6 enodes) 66.735 * * [simplify]: iters left: 5 (29 enodes) 66.746 * * [simplify]: iters left: 4 (44 enodes) 66.755 * * [simplify]: iters left: 3 (50 enodes) 66.763 * * [simplify]: iters left: 2 (57 enodes) 66.771 * * [simplify]: Extracting #0: cost 1 inf + 0 66.771 * * [simplify]: Extracting #1: cost 9 inf + 0 66.771 * * [simplify]: Extracting #2: cost 15 inf + 3 66.771 * * [simplify]: Extracting #3: cost 11 inf + 131 66.771 * * [simplify]: Extracting #4: cost 2 inf + 711 66.771 * * [simplify]: Extracting #5: cost 0 inf + 836 66.772 * [simplify]: Simplified to (- 1/4 (/ k 4)) 66.772 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4)))))) 66.772 * * * * [progress]: [ 46 / 234 ] simplifiying candidate # 66.772 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) 66.772 * * [simplify]: iters left: 6 (9 enodes) 66.775 * * [simplify]: iters left: 5 (36 enodes) 66.781 * * [simplify]: iters left: 4 (58 enodes) 66.797 * * [simplify]: iters left: 3 (71 enodes) 66.817 * * [simplify]: iters left: 2 (79 enodes) 66.838 * * [simplify]: iters left: 1 (80 enodes) 66.858 * * [simplify]: Extracting #0: cost 1 inf + 0 66.858 * * [simplify]: Extracting #1: cost 9 inf + 0 66.859 * * [simplify]: Extracting #2: cost 24 inf + 0 66.859 * * [simplify]: Extracting #3: cost 29 inf + 2 66.859 * * [simplify]: Extracting #4: cost 10 inf + 2233 66.861 * * [simplify]: Extracting #5: cost 1 inf + 4013 66.864 * * [simplify]: Extracting #6: cost 0 inf + 4135 66.866 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 66.866 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))))) 66.866 * * * * [progress]: [ 47 / 234 ] simplifiying candidate # 66.866 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) 66.866 * * [simplify]: iters left: 6 (10 enodes) 66.873 * * [simplify]: iters left: 5 (39 enodes) 66.886 * * [simplify]: iters left: 4 (64 enodes) 66.898 * * [simplify]: iters left: 3 (86 enodes) 66.910 * * [simplify]: iters left: 2 (99 enodes) 66.924 * * [simplify]: iters left: 1 (104 enodes) 66.949 * * [simplify]: Extracting #0: cost 1 inf + 0 66.949 * * [simplify]: Extracting #1: cost 11 inf + 0 66.950 * * [simplify]: Extracting #2: cost 31 inf + 0 66.950 * * [simplify]: Extracting #3: cost 39 inf + 2 66.950 * * [simplify]: Extracting #4: cost 22 inf + 1871 66.952 * * [simplify]: Extracting #5: cost 4 inf + 4865 66.954 * * [simplify]: Extracting #6: cost 0 inf + 5675 66.956 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 66.956 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))))))) 66.956 * * * * [progress]: [ 48 / 234 ] simplifiying candidate # 66.956 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) 66.956 * * [simplify]: iters left: 6 (9 enodes) 66.962 * * [simplify]: iters left: 5 (36 enodes) 66.973 * * [simplify]: iters left: 4 (61 enodes) 66.984 * * [simplify]: iters left: 3 (84 enodes) 66.995 * * [simplify]: iters left: 2 (96 enodes) 67.016 * * [simplify]: iters left: 1 (100 enodes) 67.032 * * [simplify]: Extracting #0: cost 1 inf + 0 67.032 * * [simplify]: Extracting #1: cost 11 inf + 0 67.032 * * [simplify]: Extracting #2: cost 27 inf + 82 67.032 * * [simplify]: Extracting #3: cost 29 inf + 651 67.032 * * [simplify]: Extracting #4: cost 12 inf + 2763 67.033 * * [simplify]: Extracting #5: cost 1 inf + 4587 67.034 * * [simplify]: Extracting #6: cost 0 inf + 4710 67.034 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 67.034 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2))))))) 67.035 * * * * [progress]: [ 49 / 234 ] simplifiying candidate # 67.035 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) 67.035 * * [simplify]: iters left: 6 (10 enodes) 67.039 * * [simplify]: iters left: 5 (39 enodes) 67.046 * * [simplify]: iters left: 4 (64 enodes) 67.059 * * [simplify]: iters left: 3 (86 enodes) 67.086 * * [simplify]: iters left: 2 (99 enodes) 67.111 * * [simplify]: iters left: 1 (104 enodes) 67.128 * * [simplify]: Extracting #0: cost 1 inf + 0 67.128 * * [simplify]: Extracting #1: cost 11 inf + 0 67.128 * * [simplify]: Extracting #2: cost 31 inf + 0 67.128 * * [simplify]: Extracting #3: cost 39 inf + 2 67.128 * * [simplify]: Extracting #4: cost 22 inf + 1831 67.129 * * [simplify]: Extracting #5: cost 4 inf + 4785 67.130 * * [simplify]: Extracting #6: cost 0 inf + 5595 67.131 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 67.131 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))))))) 67.131 * * * * [progress]: [ 50 / 234 ] simplifiying candidate # 67.131 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 67.131 * * [simplify]: iters left: 6 (9 enodes) 67.135 * * [simplify]: iters left: 5 (36 enodes) 67.141 * * [simplify]: iters left: 4 (57 enodes) 67.151 * * [simplify]: iters left: 3 (73 enodes) 67.170 * * [simplify]: iters left: 2 (80 enodes) 67.189 * * [simplify]: iters left: 1 (81 enodes) 67.211 * * [simplify]: Extracting #0: cost 1 inf + 0 67.211 * * [simplify]: Extracting #1: cost 9 inf + 0 67.211 * * [simplify]: Extracting #2: cost 18 inf + 43 67.211 * * [simplify]: Extracting #3: cost 23 inf + 85 67.211 * * [simplify]: Extracting #4: cost 9 inf + 1271 67.211 * * [simplify]: Extracting #5: cost 0 inf + 2370 67.212 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 67.212 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2))))) 67.212 * * * * [progress]: [ 51 / 234 ] simplifiying candidate # 67.212 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) 67.212 * * [simplify]: iters left: 6 (9 enodes) 67.215 * * [simplify]: iters left: 5 (36 enodes) 67.222 * * [simplify]: iters left: 4 (61 enodes) 67.232 * * [simplify]: iters left: 3 (84 enodes) 67.244 * * [simplify]: iters left: 2 (96 enodes) 67.263 * * [simplify]: iters left: 1 (100 enodes) 67.275 * * [simplify]: Extracting #0: cost 1 inf + 0 67.275 * * [simplify]: Extracting #1: cost 11 inf + 0 67.275 * * [simplify]: Extracting #2: cost 27 inf + 42 67.275 * * [simplify]: Extracting #3: cost 29 inf + 411 67.276 * * [simplify]: Extracting #4: cost 12 inf + 2163 67.276 * * [simplify]: Extracting #5: cost 1 inf + 3707 67.277 * * [simplify]: Extracting #6: cost 0 inf + 3830 67.278 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 67.278 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2))))))) 67.278 * * * * [progress]: [ 52 / 234 ] simplifiying candidate # 67.278 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) 67.278 * * [simplify]: iters left: 6 (9 enodes) 67.281 * * [simplify]: iters left: 5 (36 enodes) 67.288 * * [simplify]: iters left: 4 (62 enodes) 67.299 * * [simplify]: iters left: 3 (78 enodes) 67.309 * * [simplify]: iters left: 2 (90 enodes) 67.323 * * [simplify]: iters left: 1 (94 enodes) 67.347 * * [simplify]: Extracting #0: cost 1 inf + 0 67.347 * * [simplify]: Extracting #1: cost 11 inf + 0 67.347 * * [simplify]: Extracting #2: cost 27 inf + 1 67.347 * * [simplify]: Extracting #3: cost 29 inf + 409 67.348 * * [simplify]: Extracting #4: cost 12 inf + 2359 67.349 * * [simplify]: Extracting #5: cost 2 inf + 4022 67.351 * * [simplify]: Extracting #6: cost 0 inf + 4466 67.352 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 67.352 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2)))))) 67.353 * * * * [progress]: [ 53 / 234 ] simplifiying candidate # 67.353 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) 67.353 * * [simplify]: iters left: 6 (9 enodes) 67.359 * * [simplify]: iters left: 5 (36 enodes) 67.372 * * [simplify]: iters left: 4 (62 enodes) 67.388 * * [simplify]: iters left: 3 (78 enodes) 67.398 * * [simplify]: iters left: 2 (90 enodes) 67.414 * * [simplify]: iters left: 1 (94 enodes) 67.427 * * [simplify]: Extracting #0: cost 1 inf + 0 67.427 * * [simplify]: Extracting #1: cost 11 inf + 0 67.428 * * [simplify]: Extracting #2: cost 27 inf + 1 67.428 * * [simplify]: Extracting #3: cost 29 inf + 249 67.428 * * [simplify]: Extracting #4: cost 12 inf + 1879 67.430 * * [simplify]: Extracting #5: cost 2 inf + 3302 67.431 * * [simplify]: Extracting #6: cost 0 inf + 3666 67.432 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 67.433 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2)))))) 67.433 * * * * [progress]: [ 54 / 234 ] simplifiying candidate # 67.433 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) 67.433 * * [simplify]: iters left: 6 (8 enodes) 67.439 * * [simplify]: iters left: 5 (34 enodes) 67.452 * * [simplify]: iters left: 4 (58 enodes) 67.467 * * [simplify]: iters left: 3 (65 enodes) 67.483 * * [simplify]: Extracting #0: cost 1 inf + 0 67.484 * * [simplify]: Extracting #1: cost 8 inf + 0 67.484 * * [simplify]: Extracting #2: cost 14 inf + 3 67.484 * * [simplify]: Extracting #3: cost 17 inf + 5 67.484 * * [simplify]: Extracting #4: cost 12 inf + 292 67.484 * * [simplify]: Extracting #5: cost 1 inf + 1355 67.485 * * [simplify]: Extracting #6: cost 0 inf + 1478 67.486 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4) 67.486 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4))))) 67.486 * * * * [progress]: [ 55 / 234 ] simplifiying candidate # 67.486 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) 67.486 * * [simplify]: iters left: 6 (8 enodes) 67.491 * * [simplify]: iters left: 5 (33 enodes) 67.502 * * [simplify]: iters left: 4 (52 enodes) 67.518 * * [simplify]: iters left: 3 (62 enodes) 67.533 * * [simplify]: iters left: 2 (67 enodes) 67.542 * * [simplify]: Extracting #0: cost 1 inf + 0 67.542 * * [simplify]: Extracting #1: cost 9 inf + 0 67.543 * * [simplify]: Extracting #2: cost 23 inf + 0 67.543 * * [simplify]: Extracting #3: cost 24 inf + 285 67.543 * * [simplify]: Extracting #4: cost 18 inf + 975 67.543 * * [simplify]: Extracting #5: cost 7 inf + 2516 67.544 * * [simplify]: Extracting #6: cost 0 inf + 3891 67.544 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 67.544 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))))) 67.544 * * * * [progress]: [ 56 / 234 ] simplifiying candidate # 67.545 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) 67.545 * * [simplify]: iters left: 6 (9 enodes) 67.548 * * [simplify]: iters left: 5 (36 enodes) 67.554 * * [simplify]: iters left: 4 (58 enodes) 67.572 * * [simplify]: iters left: 3 (75 enodes) 67.593 * * [simplify]: iters left: 2 (87 enodes) 67.616 * * [simplify]: iters left: 1 (91 enodes) 67.629 * * [simplify]: Extracting #0: cost 1 inf + 0 67.629 * * [simplify]: Extracting #1: cost 11 inf + 0 67.629 * * [simplify]: Extracting #2: cost 30 inf + 0 67.629 * * [simplify]: Extracting #3: cost 36 inf + 83 67.630 * * [simplify]: Extracting #4: cost 30 inf + 451 67.630 * * [simplify]: Extracting #5: cost 10 inf + 3649 67.631 * * [simplify]: Extracting #6: cost 0 inf + 5431 67.632 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 67.632 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))))))) 67.632 * * * * [progress]: [ 57 / 234 ] simplifiying candidate # 67.632 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) 67.632 * * [simplify]: iters left: 6 (8 enodes) 67.635 * * [simplify]: iters left: 5 (33 enodes) 67.644 * * [simplify]: iters left: 4 (55 enodes) 67.659 * * [simplify]: iters left: 3 (73 enodes) 67.670 * * [simplify]: iters left: 2 (84 enodes) 67.681 * * [simplify]: iters left: 1 (87 enodes) 67.699 * * [simplify]: Extracting #0: cost 1 inf + 0 67.699 * * [simplify]: Extracting #1: cost 11 inf + 0 67.699 * * [simplify]: Extracting #2: cost 25 inf + 203 67.699 * * [simplify]: Extracting #3: cost 29 inf + 407 67.699 * * [simplify]: Extracting #4: cost 24 inf + 896 67.700 * * [simplify]: Extracting #5: cost 9 inf + 2805 67.700 * * [simplify]: Extracting #6: cost 0 inf + 4466 67.701 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 67.701 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2))))))) 67.701 * * * * [progress]: [ 58 / 234 ] simplifiying candidate # 67.701 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) 67.702 * * [simplify]: iters left: 6 (9 enodes) 67.705 * * [simplify]: iters left: 5 (36 enodes) 67.711 * * [simplify]: iters left: 4 (58 enodes) 67.720 * * [simplify]: iters left: 3 (75 enodes) 67.738 * * [simplify]: iters left: 2 (87 enodes) 67.752 * * [simplify]: iters left: 1 (91 enodes) 67.765 * * [simplify]: Extracting #0: cost 1 inf + 0 67.765 * * [simplify]: Extracting #1: cost 11 inf + 0 67.765 * * [simplify]: Extracting #2: cost 30 inf + 0 67.765 * * [simplify]: Extracting #3: cost 36 inf + 43 67.765 * * [simplify]: Extracting #4: cost 30 inf + 451 67.766 * * [simplify]: Extracting #5: cost 10 inf + 3769 67.766 * * [simplify]: Extracting #6: cost 0 inf + 5431 67.767 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 67.767 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))))))) 67.768 * * * * [progress]: [ 59 / 234 ] simplifiying candidate # 67.768 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 67.768 * * [simplify]: iters left: 6 (8 enodes) 67.770 * * [simplify]: iters left: 5 (33 enodes) 67.777 * * [simplify]: iters left: 4 (51 enodes) 67.788 * * [simplify]: iters left: 3 (59 enodes) 67.802 * * [simplify]: Extracting #0: cost 1 inf + 0 67.802 * * [simplify]: Extracting #1: cost 8 inf + 0 67.802 * * [simplify]: Extracting #2: cost 15 inf + 43 67.802 * * [simplify]: Extracting #3: cost 19 inf + 85 67.803 * * [simplify]: Extracting #4: cost 16 inf + 250 67.803 * * [simplify]: Extracting #5: cost 5 inf + 1311 67.804 * * [simplify]: Extracting #6: cost 0 inf + 1962 67.804 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 67.804 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2))))) 67.804 * * * * [progress]: [ 60 / 234 ] simplifiying candidate # 67.805 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) 67.805 * * [simplify]: iters left: 6 (8 enodes) 67.810 * * [simplify]: iters left: 5 (33 enodes) 67.821 * * [simplify]: iters left: 4 (55 enodes) 67.831 * * [simplify]: iters left: 3 (73 enodes) 67.843 * * [simplify]: iters left: 2 (84 enodes) 67.854 * * [simplify]: iters left: 1 (87 enodes) 67.872 * * [simplify]: Extracting #0: cost 1 inf + 0 67.872 * * [simplify]: Extracting #1: cost 11 inf + 0 67.872 * * [simplify]: Extracting #2: cost 25 inf + 123 67.872 * * [simplify]: Extracting #3: cost 29 inf + 247 67.873 * * [simplify]: Extracting #4: cost 24 inf + 576 67.873 * * [simplify]: Extracting #5: cost 9 inf + 2245 67.874 * * [simplify]: Extracting #6: cost 0 inf + 3666 67.874 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 67.874 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2))))))) 67.874 * * * * [progress]: [ 61 / 234 ] simplifiying candidate # 67.875 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) 67.875 * * [simplify]: iters left: 6 (8 enodes) 67.877 * * [simplify]: iters left: 5 (34 enodes) 67.884 * * [simplify]: iters left: 4 (54 enodes) 67.892 * * [simplify]: iters left: 3 (67 enodes) 67.904 * * [simplify]: iters left: 2 (80 enodes) 67.926 * * [simplify]: iters left: 1 (87 enodes) 67.947 * * [simplify]: Extracting #0: cost 1 inf + 0 67.947 * * [simplify]: Extracting #1: cost 11 inf + 0 67.947 * * [simplify]: Extracting #2: cost 25 inf + 203 67.947 * * [simplify]: Extracting #3: cost 26 inf + 773 67.948 * * [simplify]: Extracting #4: cost 24 inf + 896 67.948 * * [simplify]: Extracting #5: cost 8 inf + 3127 67.949 * * [simplify]: Extracting #6: cost 0 inf + 4466 67.949 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 67.949 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2)))))) 67.950 * * * * [progress]: [ 62 / 234 ] simplifiying candidate # 67.950 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) 67.950 * * [simplify]: iters left: 6 (8 enodes) 67.953 * * [simplify]: iters left: 5 (34 enodes) 67.958 * * [simplify]: iters left: 4 (54 enodes) 67.967 * * [simplify]: iters left: 3 (67 enodes) 67.982 * * [simplify]: iters left: 2 (80 enodes) 68.004 * * [simplify]: iters left: 1 (87 enodes) 68.026 * * [simplify]: Extracting #0: cost 1 inf + 0 68.026 * * [simplify]: Extracting #1: cost 11 inf + 0 68.027 * * [simplify]: Extracting #2: cost 25 inf + 123 68.027 * * [simplify]: Extracting #3: cost 26 inf + 493 68.027 * * [simplify]: Extracting #4: cost 24 inf + 576 68.028 * * [simplify]: Extracting #5: cost 8 inf + 2527 68.029 * * [simplify]: Extracting #6: cost 0 inf + 3666 68.031 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 68.031 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2)))))) 68.031 * * * * [progress]: [ 63 / 234 ] simplifiying candidate # 68.032 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2) 68.032 * * [simplify]: iters left: 6 (7 enodes) 68.036 * * [simplify]: iters left: 5 (32 enodes) 68.048 * * [simplify]: iters left: 4 (50 enodes) 68.061 * * [simplify]: iters left: 3 (54 enodes) 68.070 * * [simplify]: Extracting #0: cost 1 inf + 0 68.070 * * [simplify]: Extracting #1: cost 8 inf + 0 68.070 * * [simplify]: Extracting #2: cost 13 inf + 3 68.070 * * [simplify]: Extracting #3: cost 15 inf + 5 68.070 * * [simplify]: Extracting #4: cost 14 inf + 6 68.070 * * [simplify]: Extracting #5: cost 4 inf + 825 68.070 * * [simplify]: Extracting #6: cost 0 inf + 1234 68.071 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4)) 68.071 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4)))))) 68.071 * * * * [progress]: [ 64 / 234 ] simplifiying candidate # 68.071 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 68.071 * * [simplify]: iters left: 6 (7 enodes) 68.074 * * [simplify]: iters left: 5 (30 enodes) 68.079 * * [simplify]: iters left: 4 (49 enodes) 68.086 * * [simplify]: iters left: 3 (59 enodes) 68.103 * * [simplify]: iters left: 2 (64 enodes) 68.113 * * [simplify]: Extracting #0: cost 1 inf + 0 68.113 * * [simplify]: Extracting #1: cost 9 inf + 0 68.113 * * [simplify]: Extracting #2: cost 23 inf + 0 68.113 * * [simplify]: Extracting #3: cost 24 inf + 3 68.113 * * [simplify]: Extracting #4: cost 15 inf + 980 68.114 * * [simplify]: Extracting #5: cost 1 inf + 3007 68.114 * * [simplify]: Extracting #6: cost 0 inf + 3169 68.115 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 68.115 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))))) 68.115 * * * * [progress]: [ 65 / 234 ] simplifiying candidate # 68.115 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 68.115 * * [simplify]: iters left: 6 (8 enodes) 68.118 * * [simplify]: iters left: 5 (33 enodes) 68.124 * * [simplify]: iters left: 4 (55 enodes) 68.133 * * [simplify]: iters left: 3 (72 enodes) 68.151 * * [simplify]: iters left: 2 (84 enodes) 68.165 * * [simplify]: iters left: 1 (88 enodes) 68.177 * * [simplify]: Extracting #0: cost 1 inf + 0 68.177 * * [simplify]: Extracting #1: cost 11 inf + 0 68.177 * * [simplify]: Extracting #2: cost 30 inf + 0 68.177 * * [simplify]: Extracting #3: cost 33 inf + 84 68.177 * * [simplify]: Extracting #4: cost 12 inf + 2402 68.178 * * [simplify]: Extracting #5: cost 0 inf + 4469 68.179 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 68.179 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)))))) 68.179 * * * * [progress]: [ 66 / 234 ] simplifiying candidate # 68.179 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 68.179 * * [simplify]: iters left: 6 (7 enodes) 68.184 * * [simplify]: iters left: 5 (30 enodes) 68.195 * * [simplify]: iters left: 4 (52 enodes) 68.203 * * [simplify]: iters left: 3 (70 enodes) 68.214 * * [simplify]: iters left: 2 (81 enodes) 68.225 * * [simplify]: iters left: 1 (84 enodes) 68.245 * * [simplify]: Extracting #0: cost 1 inf + 0 68.245 * * [simplify]: Extracting #1: cost 11 inf + 0 68.246 * * [simplify]: Extracting #2: cost 25 inf + 203 68.246 * * [simplify]: Extracting #3: cost 25 inf + 530 68.247 * * [simplify]: Extracting #4: cost 4 inf + 2936 68.248 * * [simplify]: Extracting #5: cost 0 inf + 3504 68.249 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 68.249 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2)))))) 68.249 * * * * [progress]: [ 67 / 234 ] simplifiying candidate # 68.250 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 68.250 * * [simplify]: iters left: 6 (8 enodes) 68.255 * * [simplify]: iters left: 5 (33 enodes) 68.269 * * [simplify]: iters left: 4 (55 enodes) 68.280 * * [simplify]: iters left: 3 (72 enodes) 68.291 * * [simplify]: iters left: 2 (84 enodes) 68.302 * * [simplify]: iters left: 1 (88 enodes) 68.325 * * [simplify]: Extracting #0: cost 1 inf + 0 68.326 * * [simplify]: Extracting #1: cost 11 inf + 0 68.326 * * [simplify]: Extracting #2: cost 30 inf + 0 68.326 * * [simplify]: Extracting #3: cost 33 inf + 44 68.327 * * [simplify]: Extracting #4: cost 12 inf + 2362 68.328 * * [simplify]: Extracting #5: cost 0 inf + 4469 68.330 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 68.330 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)))))) 68.330 * * * * [progress]: [ 68 / 234 ] simplifiying candidate # 68.330 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 68.330 * * [simplify]: iters left: 6 (7 enodes) 68.335 * * [simplify]: iters left: 5 (30 enodes) 68.341 * * [simplify]: iters left: 4 (48 enodes) 68.348 * * [simplify]: iters left: 3 (56 enodes) 68.357 * * [simplify]: Extracting #0: cost 1 inf + 0 68.357 * * [simplify]: Extracting #1: cost 8 inf + 0 68.357 * * [simplify]: Extracting #2: cost 15 inf + 43 68.357 * * [simplify]: Extracting #3: cost 16 inf + 86 68.357 * * [simplify]: Extracting #4: cost 5 inf + 911 68.357 * * [simplify]: Extracting #5: cost 1 inf + 1198 68.358 * * [simplify]: Extracting #6: cost 0 inf + 1320 68.358 * [simplify]: Simplified to (/ (- 1 k) 2) 68.358 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2))))) 68.358 * * * * [progress]: [ 69 / 234 ] simplifiying candidate # 68.358 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 68.358 * * [simplify]: iters left: 6 (7 enodes) 68.362 * * [simplify]: iters left: 5 (30 enodes) 68.368 * * [simplify]: iters left: 4 (52 enodes) 68.378 * * [simplify]: iters left: 3 (70 enodes) 68.388 * * [simplify]: iters left: 2 (81 enodes) 68.399 * * [simplify]: iters left: 1 (84 enodes) 68.410 * * [simplify]: Extracting #0: cost 1 inf + 0 68.410 * * [simplify]: Extracting #1: cost 11 inf + 0 68.410 * * [simplify]: Extracting #2: cost 25 inf + 123 68.410 * * [simplify]: Extracting #3: cost 25 inf + 330 68.411 * * [simplify]: Extracting #4: cost 4 inf + 2256 68.412 * * [simplify]: Extracting #5: cost 0 inf + 2704 68.413 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 68.413 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2)))))) 68.414 * * * * [progress]: [ 70 / 234 ] simplifiying candidate # 68.414 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 68.414 * * [simplify]: iters left: 6 (7 enodes) 68.419 * * [simplify]: iters left: 5 (31 enodes) 68.430 * * [simplify]: iters left: 4 (51 enodes) 68.446 * * [simplify]: iters left: 3 (64 enodes) 68.464 * * [simplify]: iters left: 2 (77 enodes) 68.484 * * [simplify]: iters left: 1 (84 enodes) 68.494 * * [simplify]: Extracting #0: cost 1 inf + 0 68.494 * * [simplify]: Extracting #1: cost 11 inf + 0 68.495 * * [simplify]: Extracting #2: cost 26 inf + 82 68.495 * * [simplify]: Extracting #3: cost 24 inf + 692 68.495 * * [simplify]: Extracting #4: cost 3 inf + 3057 68.496 * * [simplify]: Extracting #5: cost 0 inf + 3504 68.496 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 68.496 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2))))))) 68.496 * * * * [progress]: [ 71 / 234 ] simplifiying candidate # 68.497 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 68.497 * * [simplify]: iters left: 6 (7 enodes) 68.499 * * [simplify]: iters left: 5 (31 enodes) 68.505 * * [simplify]: iters left: 4 (51 enodes) 68.521 * * [simplify]: iters left: 3 (64 enodes) 68.539 * * [simplify]: iters left: 2 (77 enodes) 68.560 * * [simplify]: iters left: 1 (84 enodes) 68.582 * * [simplify]: Extracting #0: cost 1 inf + 0 68.582 * * [simplify]: Extracting #1: cost 11 inf + 0 68.582 * * [simplify]: Extracting #2: cost 26 inf + 42 68.582 * * [simplify]: Extracting #3: cost 24 inf + 452 68.582 * * [simplify]: Extracting #4: cost 3 inf + 2337 68.583 * * [simplify]: Extracting #5: cost 0 inf + 2704 68.584 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 68.584 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2))))))) 68.584 * * * * [progress]: [ 72 / 234 ] simplifiying candidate # 68.584 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 68.584 * * [simplify]: iters left: 6 (6 enodes) 68.588 * * [simplify]: iters left: 5 (29 enodes) 68.594 * * [simplify]: iters left: 4 (44 enodes) 68.600 * * [simplify]: iters left: 3 (50 enodes) 68.608 * * [simplify]: iters left: 2 (57 enodes) 68.620 * * [simplify]: Extracting #0: cost 1 inf + 0 68.621 * * [simplify]: Extracting #1: cost 9 inf + 0 68.621 * * [simplify]: Extracting #2: cost 15 inf + 3 68.621 * * [simplify]: Extracting #3: cost 11 inf + 131 68.621 * * [simplify]: Extracting #4: cost 2 inf + 711 68.622 * * [simplify]: Extracting #5: cost 0 inf + 836 68.622 * [simplify]: Simplified to (- 1/4 (/ k 4)) 68.622 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4)))))) 68.622 * * * * [progress]: [ 73 / 234 ] simplifiying candidate # 68.623 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 68.623 * * [simplify]: iters left: 6 (7 enodes) 68.628 * * [simplify]: iters left: 5 (31 enodes) 68.639 * * [simplify]: iters left: 4 (51 enodes) 68.654 * * [simplify]: iters left: 3 (64 enodes) 68.666 * * [simplify]: iters left: 2 (77 enodes) 68.677 * * [simplify]: iters left: 1 (84 enodes) 68.689 * * [simplify]: Extracting #0: cost 1 inf + 0 68.689 * * [simplify]: Extracting #1: cost 11 inf + 0 68.689 * * [simplify]: Extracting #2: cost 26 inf + 82 68.689 * * [simplify]: Extracting #3: cost 24 inf + 692 68.692 * * [simplify]: Extracting #4: cost 3 inf + 3057 68.693 * * [simplify]: Extracting #5: cost 0 inf + 3504 68.694 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 68.694 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2))))))) 68.694 * * * * [progress]: [ 74 / 234 ] simplifiying candidate # 68.695 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 68.695 * * [simplify]: iters left: 6 (7 enodes) 68.700 * * [simplify]: iters left: 5 (31 enodes) 68.711 * * [simplify]: iters left: 4 (51 enodes) 68.723 * * [simplify]: iters left: 3 (64 enodes) 68.732 * * [simplify]: iters left: 2 (77 enodes) 68.743 * * [simplify]: iters left: 1 (84 enodes) 68.759 * * [simplify]: Extracting #0: cost 1 inf + 0 68.759 * * [simplify]: Extracting #1: cost 11 inf + 0 68.759 * * [simplify]: Extracting #2: cost 26 inf + 42 68.759 * * [simplify]: Extracting #3: cost 24 inf + 452 68.759 * * [simplify]: Extracting #4: cost 3 inf + 2337 68.760 * * [simplify]: Extracting #5: cost 0 inf + 2704 68.760 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 68.760 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2))))))) 68.761 * * * * [progress]: [ 75 / 234 ] simplifiying candidate # 68.761 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 68.761 * * [simplify]: iters left: 6 (6 enodes) 68.763 * * [simplify]: iters left: 5 (29 enodes) 68.769 * * [simplify]: iters left: 4 (44 enodes) 68.776 * * [simplify]: iters left: 3 (50 enodes) 68.791 * * [simplify]: iters left: 2 (57 enodes) 68.805 * * [simplify]: Extracting #0: cost 1 inf + 0 68.805 * * [simplify]: Extracting #1: cost 9 inf + 0 68.805 * * [simplify]: Extracting #2: cost 15 inf + 3 68.805 * * [simplify]: Extracting #3: cost 11 inf + 131 68.805 * * [simplify]: Extracting #4: cost 2 inf + 711 68.806 * * [simplify]: Extracting #5: cost 0 inf + 836 68.806 * [simplify]: Simplified to (- 1/4 (/ k 4)) 68.806 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 1)) (- 1/4 (/ k 4)))))) 68.806 * * * * [progress]: [ 76 / 234 ] simplifiying candidate # 68.806 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2)) 68.806 * * [simplify]: iters left: 4 (5 enodes) 68.809 * * [simplify]: iters left: 3 (20 enodes) 68.812 * * [simplify]: iters left: 2 (27 enodes) 68.817 * * [simplify]: iters left: 1 (29 enodes) 68.821 * * [simplify]: Extracting #0: cost 1 inf + 0 68.821 * * [simplify]: Extracting #1: cost 8 inf + 0 68.822 * * [simplify]: Extracting #2: cost 4 inf + 449 68.822 * * [simplify]: Extracting #3: cost 0 inf + 895 68.822 * [simplify]: Simplified to (/ 1/2 (cbrt 2)) 68.822 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2)))))) 68.822 * * * * [progress]: [ 77 / 234 ] simplifiying candidate # 68.822 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2)) 68.822 * * [simplify]: iters left: 4 (5 enodes) 68.825 * * [simplify]: iters left: 3 (20 enodes) 68.830 * * [simplify]: iters left: 2 (27 enodes) 68.839 * * [simplify]: iters left: 1 (29 enodes) 68.848 * * [simplify]: Extracting #0: cost 1 inf + 0 68.848 * * [simplify]: Extracting #1: cost 8 inf + 0 68.848 * * [simplify]: Extracting #2: cost 4 inf + 289 68.848 * * [simplify]: Extracting #3: cost 0 inf + 575 68.849 * [simplify]: Simplified to (/ 1/2 (sqrt 2)) 68.849 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2)))))) 68.849 * * * * [progress]: [ 78 / 234 ] simplifiying candidate # 68.849 * [simplify]: Simplifying (/ (/ 1 2) 2) 68.849 * * [simplify]: iters left: 4 (4 enodes) 68.854 * * [simplify]: iters left: 3 (19 enodes) 68.861 * * [simplify]: iters left: 2 (23 enodes) 68.865 * * [simplify]: Extracting #0: cost 1 inf + 0 68.866 * * [simplify]: Extracting #1: cost 0 inf + 1 68.866 * [simplify]: Simplified to 1/4 68.866 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 1/4)))) 68.866 * * * * [progress]: [ 79 / 234 ] simplifiying candidate # 68.866 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 68.866 * * [simplify]: iters left: 6 (6 enodes) 68.869 * * [simplify]: iters left: 5 (29 enodes) 68.874 * * [simplify]: iters left: 4 (44 enodes) 68.881 * * [simplify]: iters left: 3 (50 enodes) 68.889 * * [simplify]: iters left: 2 (57 enodes) 68.904 * * [simplify]: Extracting #0: cost 1 inf + 0 68.904 * * [simplify]: Extracting #1: cost 9 inf + 0 68.904 * * [simplify]: Extracting #2: cost 15 inf + 3 68.904 * * [simplify]: Extracting #3: cost 11 inf + 131 68.904 * * [simplify]: Extracting #4: cost 2 inf + 711 68.905 * * [simplify]: Extracting #5: cost 0 inf + 836 68.905 * [simplify]: Simplified to (- 1/4 (/ k 4)) 68.905 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (- 1/4 (/ k 4)))))) 68.906 * * * * [progress]: [ 80 / 234 ] simplifiying candidate # 68.906 * [simplify]: Simplifying (/ 1 2) 68.906 * * [simplify]: iters left: 2 (3 enodes) 68.912 * * [simplify]: iters left: 1 (12 enodes) 68.916 * * [simplify]: Extracting #0: cost 1 inf + 0 68.916 * * [simplify]: Extracting #1: cost 0 inf + 1 68.916 * [simplify]: Simplified to 1/2 68.916 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1/2)))) 68.916 * * * * [progress]: [ 81 / 234 ] simplifiying candidate # 68.917 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 68.917 * * [simplify]: iters left: 6 (8 enodes) 68.921 * * [simplify]: iters left: 5 (38 enodes) 68.933 * * [simplify]: iters left: 4 (66 enodes) 68.950 * * [simplify]: iters left: 3 (110 enodes) 68.970 * * [simplify]: iters left: 2 (200 enodes) 69.041 * * [simplify]: iters left: 1 (403 enodes) 69.185 * * [simplify]: Extracting #0: cost 1 inf + 0 69.186 * * [simplify]: Extracting #1: cost 26 inf + 0 69.186 * * [simplify]: Extracting #2: cost 100 inf + 2 69.187 * * [simplify]: Extracting #3: cost 164 inf + 10 69.188 * * [simplify]: Extracting #4: cost 163 inf + 641 69.190 * * [simplify]: Extracting #5: cost 72 inf + 12998 69.196 * * [simplify]: Extracting #6: cost 25 inf + 35040 69.204 * * [simplify]: Extracting #7: cost 0 inf + 54806 69.212 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 69.212 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 69.212 * * * * [progress]: [ 82 / 234 ] simplifiying candidate # 69.212 * * * * [progress]: [ 83 / 234 ] simplifiying candidate # 69.212 * * * * [progress]: [ 84 / 234 ] simplifiying candidate # 69.212 * * * * [progress]: [ 85 / 234 ] simplifiying candidate # 69.212 * * * * [progress]: [ 86 / 234 ] simplifiying candidate # 69.212 * * * * [progress]: [ 87 / 234 ] simplifiying candidate # 69.212 * * * * [progress]: [ 88 / 234 ] simplifiying candidate # 69.212 * * * * [progress]: [ 89 / 234 ] simplifiying candidate # 69.212 * * * * [progress]: [ 90 / 234 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))> 69.212 * * * * [progress]: [ 91 / 234 ] simplifiying candidate # 69.212 * * * * [progress]: [ 92 / 234 ] simplifiying candidate # 69.212 * * * * [progress]: [ 93 / 234 ] simplifiying candidate # 69.212 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) 69.213 * * [simplify]: iters left: 6 (14 enodes) 69.219 * * [simplify]: iters left: 5 (60 enodes) 69.239 * * [simplify]: iters left: 4 (108 enodes) 69.264 * * [simplify]: iters left: 3 (255 enodes) 69.347 * * [simplify]: Extracting #0: cost 1 inf + 0 69.347 * * [simplify]: Extracting #1: cost 34 inf + 0 69.348 * * [simplify]: Extracting #2: cost 122 inf + 73 69.348 * * [simplify]: Extracting #3: cost 134 inf + 2876 69.352 * * [simplify]: Extracting #4: cost 49 inf + 20493 69.368 * * [simplify]: Extracting #5: cost 4 inf + 30853 69.382 * * [simplify]: Extracting #6: cost 0 inf + 31808 69.395 * [simplify]: Simplified to (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI))))) 69.395 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 69.395 * * * * [progress]: [ 94 / 234 ] simplifiying candidate # 69.396 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 69.396 * * [simplify]: iters left: 6 (13 enodes) 69.404 * * [simplify]: iters left: 5 (58 enodes) 69.422 * * [simplify]: iters left: 4 (101 enodes) 69.439 * * [simplify]: iters left: 3 (211 enodes) 69.521 * * [simplify]: Extracting #0: cost 1 inf + 0 69.521 * * [simplify]: Extracting #1: cost 28 inf + 0 69.521 * * [simplify]: Extracting #2: cost 110 inf + 73 69.522 * * [simplify]: Extracting #3: cost 127 inf + 1744 69.523 * * [simplify]: Extracting #4: cost 73 inf + 10230 69.527 * * [simplify]: Extracting #5: cost 26 inf + 20266 69.531 * * [simplify]: Extracting #6: cost 6 inf + 24692 69.537 * * [simplify]: Extracting #7: cost 0 inf + 26084 69.542 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) 69.542 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 69.542 * * * * [progress]: [ 95 / 234 ] simplifiying candidate # 69.543 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 69.543 * * [simplify]: iters left: 6 (12 enodes) 69.550 * * [simplify]: iters left: 5 (57 enodes) 69.570 * * [simplify]: iters left: 4 (111 enodes) 69.610 * * [simplify]: iters left: 3 (214 enodes) 69.663 * * [simplify]: iters left: 2 (472 enodes) 69.793 * * [simplify]: Extracting #0: cost 1 inf + 0 69.793 * * [simplify]: Extracting #1: cost 40 inf + 0 69.793 * * [simplify]: Extracting #2: cost 158 inf + 4 69.794 * * [simplify]: Extracting #3: cost 193 inf + 1443 69.798 * * [simplify]: Extracting #4: cost 88 inf + 19136 69.811 * * [simplify]: Extracting #5: cost 7 inf + 36795 69.829 * * [simplify]: Extracting #6: cost 0 inf + 38243 69.848 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4) 69.848 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 69.849 * * * * [progress]: [ 96 / 234 ] simplifiying candidate # 69.849 * * * * [progress]: [ 97 / 234 ] simplifiying candidate # 69.849 * [simplify]: Simplifying (* n (* 2 PI)) 69.849 * * [simplify]: iters left: 4 (5 enodes) 69.852 * * [simplify]: iters left: 3 (19 enodes) 69.858 * * [simplify]: iters left: 2 (27 enodes) 69.867 * * [simplify]: iters left: 1 (32 enodes) 69.873 * * [simplify]: Extracting #0: cost 1 inf + 0 69.873 * * [simplify]: Extracting #1: cost 8 inf + 0 69.873 * * [simplify]: Extracting #2: cost 7 inf + 45 69.873 * * [simplify]: Extracting #3: cost 0 inf + 421 69.873 * [simplify]: Simplified to (* (* PI 2) n) 69.873 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 69.873 * * * * [progress]: [ 98 / 234 ] simplifiying candidate # 69.873 * [simplify]: Simplifying (* n (* 2 PI)) 69.873 * * [simplify]: iters left: 4 (5 enodes) 69.875 * * [simplify]: iters left: 3 (19 enodes) 69.878 * * [simplify]: iters left: 2 (27 enodes) 69.882 * * [simplify]: iters left: 1 (32 enodes) 69.886 * * [simplify]: Extracting #0: cost 1 inf + 0 69.886 * * [simplify]: Extracting #1: cost 8 inf + 0 69.886 * * [simplify]: Extracting #2: cost 7 inf + 45 69.886 * * [simplify]: Extracting #3: cost 0 inf + 421 69.887 * [simplify]: Simplified to (* (* PI 2) n) 69.887 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 69.887 * * * * [progress]: [ 99 / 234 ] simplifiying candidate # 69.887 * [simplify]: Simplifying (* n (* 2 PI)) 69.887 * * [simplify]: iters left: 4 (5 enodes) 69.889 * * [simplify]: iters left: 3 (19 enodes) 69.892 * * [simplify]: iters left: 2 (27 enodes) 69.896 * * [simplify]: iters left: 1 (32 enodes) 69.900 * * [simplify]: Extracting #0: cost 1 inf + 0 69.900 * * [simplify]: Extracting #1: cost 8 inf + 0 69.900 * * [simplify]: Extracting #2: cost 7 inf + 45 69.900 * * [simplify]: Extracting #3: cost 0 inf + 421 69.900 * [simplify]: Simplified to (* (* PI 2) n) 69.900 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 69.900 * * * * [progress]: [ 100 / 234 ] simplifiying candidate # 69.901 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2)) 69.901 * * [simplify]: iters left: 5 (9 enodes) 69.904 * * [simplify]: iters left: 4 (37 enodes) 69.917 * * [simplify]: iters left: 3 (57 enodes) 69.937 * * [simplify]: iters left: 2 (93 enodes) 69.967 * * [simplify]: iters left: 1 (170 enodes) 70.010 * * [simplify]: Extracting #0: cost 1 inf + 0 70.010 * * [simplify]: Extracting #1: cost 13 inf + 0 70.011 * * [simplify]: Extracting #2: cost 59 inf + 1 70.011 * * [simplify]: Extracting #3: cost 78 inf + 176 70.013 * * [simplify]: Extracting #4: cost 40 inf + 3875 70.017 * * [simplify]: Extracting #5: cost 7 inf + 16988 70.023 * * [simplify]: Extracting #6: cost 0 inf + 20577 70.029 * * [simplify]: Extracting #7: cost 0 inf + 20336 70.034 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4)) 70.035 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* (* PI 2) n) (/ k 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.035 * * * * [progress]: [ 101 / 234 ] simplifiying candidate # 70.037 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2)) 70.037 * * [simplify]: iters left: 6 (7 enodes) 70.042 * * [simplify]: iters left: 5 (32 enodes) 70.052 * * [simplify]: iters left: 4 (47 enodes) 70.060 * * [simplify]: iters left: 3 (53 enodes) 70.068 * * [simplify]: iters left: 2 (60 enodes) 70.077 * * [simplify]: Extracting #0: cost 1 inf + 0 70.077 * * [simplify]: Extracting #1: cost 3 inf + 0 70.077 * * [simplify]: Extracting #2: cost 11 inf + 0 70.077 * * [simplify]: Extracting #3: cost 17 inf + 3 70.077 * * [simplify]: Extracting #4: cost 14 inf + 129 70.078 * * [simplify]: Extracting #5: cost 3 inf + 794 70.078 * * [simplify]: Extracting #6: cost 0 inf + 1162 70.078 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4))) 70.078 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.078 * * * * [progress]: [ 102 / 234 ] simplifiying candidate # 70.079 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2)) 70.079 * * [simplify]: iters left: 6 (7 enodes) 70.084 * * [simplify]: iters left: 5 (32 enodes) 70.095 * * [simplify]: iters left: 4 (47 enodes) 70.109 * * [simplify]: iters left: 3 (53 enodes) 70.125 * * [simplify]: iters left: 2 (60 enodes) 70.141 * * [simplify]: Extracting #0: cost 1 inf + 0 70.141 * * [simplify]: Extracting #1: cost 3 inf + 0 70.141 * * [simplify]: Extracting #2: cost 11 inf + 0 70.141 * * [simplify]: Extracting #3: cost 17 inf + 3 70.141 * * [simplify]: Extracting #4: cost 14 inf + 129 70.142 * * [simplify]: Extracting #5: cost 3 inf + 794 70.142 * * [simplify]: Extracting #6: cost 0 inf + 1082 70.143 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4))) 70.143 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.143 * * * * [progress]: [ 103 / 234 ] simplifiying candidate # 70.143 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 70.143 * * [simplify]: iters left: 6 (8 enodes) 70.148 * * [simplify]: iters left: 5 (32 enodes) 70.159 * * [simplify]: iters left: 4 (41 enodes) 70.175 * * [simplify]: Extracting #0: cost 1 inf + 0 70.175 * * [simplify]: Extracting #1: cost 4 inf + 0 70.175 * * [simplify]: Extracting #2: cost 8 inf + 0 70.176 * * [simplify]: Extracting #3: cost 9 inf + 163 70.176 * * [simplify]: Extracting #4: cost 13 inf + 164 70.176 * * [simplify]: Extracting #5: cost 10 inf + 249 70.176 * * [simplify]: Extracting #6: cost 3 inf + 986 70.177 * * [simplify]: Extracting #7: cost 0 inf + 1474 70.177 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 70.177 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.177 * * * * [progress]: [ 104 / 234 ] simplifiying candidate # 70.178 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 70.178 * * [simplify]: iters left: 6 (8 enodes) 70.181 * * [simplify]: iters left: 5 (32 enodes) 70.186 * * [simplify]: iters left: 4 (41 enodes) 70.193 * * [simplify]: Extracting #0: cost 1 inf + 0 70.193 * * [simplify]: Extracting #1: cost 4 inf + 0 70.193 * * [simplify]: Extracting #2: cost 8 inf + 0 70.193 * * [simplify]: Extracting #3: cost 9 inf + 83 70.193 * * [simplify]: Extracting #4: cost 13 inf + 84 70.193 * * [simplify]: Extracting #5: cost 10 inf + 169 70.193 * * [simplify]: Extracting #6: cost 3 inf + 866 70.194 * * [simplify]: Extracting #7: cost 0 inf + 1314 70.194 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 70.194 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.194 * * * * [progress]: [ 105 / 234 ] simplifiying candidate # 70.194 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2) 70.194 * * [simplify]: iters left: 6 (7 enodes) 70.197 * * [simplify]: iters left: 5 (29 enodes) 70.202 * * [simplify]: iters left: 4 (38 enodes) 70.208 * * [simplify]: Extracting #0: cost 1 inf + 0 70.208 * * [simplify]: Extracting #1: cost 4 inf + 0 70.208 * * [simplify]: Extracting #2: cost 5 inf + 1 70.208 * * [simplify]: Extracting #3: cost 9 inf + 1 70.208 * * [simplify]: Extracting #4: cost 13 inf + 2 70.208 * * [simplify]: Extracting #5: cost 12 inf + 4 70.208 * * [simplify]: Extracting #6: cost 2 inf + 746 70.209 * * [simplify]: Extracting #7: cost 0 inf + 1152 70.209 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2) 70.209 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.210 * * * * [progress]: [ 106 / 234 ] simplifiying candidate # 70.210 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 70.210 * * [simplify]: iters left: 6 (8 enodes) 70.215 * * [simplify]: iters left: 5 (32 enodes) 70.225 * * [simplify]: iters left: 4 (41 enodes) 70.237 * * [simplify]: Extracting #0: cost 1 inf + 0 70.237 * * [simplify]: Extracting #1: cost 4 inf + 0 70.237 * * [simplify]: Extracting #2: cost 8 inf + 0 70.237 * * [simplify]: Extracting #3: cost 9 inf + 163 70.237 * * [simplify]: Extracting #4: cost 13 inf + 164 70.238 * * [simplify]: Extracting #5: cost 10 inf + 249 70.238 * * [simplify]: Extracting #6: cost 3 inf + 906 70.238 * * [simplify]: Extracting #7: cost 0 inf + 1314 70.239 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 70.239 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.239 * * * * [progress]: [ 107 / 234 ] simplifiying candidate # 70.239 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 70.239 * * [simplify]: iters left: 6 (8 enodes) 70.244 * * [simplify]: iters left: 5 (32 enodes) 70.251 * * [simplify]: iters left: 4 (41 enodes) 70.257 * * [simplify]: Extracting #0: cost 1 inf + 0 70.257 * * [simplify]: Extracting #1: cost 4 inf + 0 70.257 * * [simplify]: Extracting #2: cost 8 inf + 0 70.257 * * [simplify]: Extracting #3: cost 9 inf + 83 70.257 * * [simplify]: Extracting #4: cost 13 inf + 84 70.257 * * [simplify]: Extracting #5: cost 10 inf + 169 70.257 * * [simplify]: Extracting #6: cost 3 inf + 786 70.258 * * [simplify]: Extracting #7: cost 0 inf + 1154 70.258 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 70.258 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.258 * * * * [progress]: [ 108 / 234 ] simplifiying candidate # 70.258 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2) 70.258 * * [simplify]: iters left: 6 (7 enodes) 70.261 * * [simplify]: iters left: 5 (29 enodes) 70.265 * * [simplify]: iters left: 4 (38 enodes) 70.273 * * [simplify]: Extracting #0: cost 1 inf + 0 70.273 * * [simplify]: Extracting #1: cost 4 inf + 0 70.273 * * [simplify]: Extracting #2: cost 5 inf + 1 70.273 * * [simplify]: Extracting #3: cost 9 inf + 1 70.273 * * [simplify]: Extracting #4: cost 13 inf + 2 70.273 * * [simplify]: Extracting #5: cost 12 inf + 4 70.273 * * [simplify]: Extracting #6: cost 2 inf + 666 70.273 * * [simplify]: Extracting #7: cost 0 inf + 992 70.274 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2) 70.274 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.274 * * * * [progress]: [ 109 / 234 ] simplifiying candidate # 70.274 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) 70.274 * * [simplify]: iters left: 6 (8 enodes) 70.276 * * [simplify]: iters left: 5 (30 enodes) 70.282 * * [simplify]: iters left: 4 (37 enodes) 70.287 * * [simplify]: Extracting #0: cost 1 inf + 0 70.287 * * [simplify]: Extracting #1: cost 6 inf + 0 70.287 * * [simplify]: Extracting #2: cost 12 inf + 0 70.287 * * [simplify]: Extracting #3: cost 11 inf + 405 70.287 * * [simplify]: Extracting #4: cost 10 inf + 407 70.288 * * [simplify]: Extracting #5: cost 4 inf + 1220 70.288 * * [simplify]: Extracting #6: cost 0 inf + 1869 70.288 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 70.288 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.288 * * * * [progress]: [ 110 / 234 ] simplifiying candidate # 70.288 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 70.289 * * [simplify]: iters left: 6 (9 enodes) 70.292 * * [simplify]: iters left: 5 (33 enodes) 70.303 * * [simplify]: iters left: 4 (43 enodes) 70.316 * * [simplify]: iters left: 3 (45 enodes) 70.329 * * [simplify]: Extracting #0: cost 1 inf + 0 70.330 * * [simplify]: Extracting #1: cost 8 inf + 0 70.330 * * [simplify]: Extracting #2: cost 16 inf + 0 70.330 * * [simplify]: Extracting #3: cost 16 inf + 284 70.330 * * [simplify]: Extracting #4: cost 11 inf + 610 70.330 * * [simplify]: Extracting #5: cost 8 inf + 815 70.331 * * [simplify]: Extracting #6: cost 0 inf + 2517 70.332 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 70.332 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.332 * * * * [progress]: [ 111 / 234 ] simplifiying candidate # 70.332 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) 70.332 * * [simplify]: iters left: 6 (8 enodes) 70.337 * * [simplify]: iters left: 5 (30 enodes) 70.347 * * [simplify]: iters left: 4 (40 enodes) 70.359 * * [simplify]: iters left: 3 (42 enodes) 70.371 * * [simplify]: Extracting #0: cost 1 inf + 0 70.371 * * [simplify]: Extracting #1: cost 8 inf + 0 70.371 * * [simplify]: Extracting #2: cost 12 inf + 82 70.371 * * [simplify]: Extracting #3: cost 13 inf + 405 70.371 * * [simplify]: Extracting #4: cost 12 inf + 407 70.372 * * [simplify]: Extracting #5: cost 5 inf + 1383 70.372 * * [simplify]: Extracting #6: cost 0 inf + 2195 70.372 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2))) 70.372 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.372 * * * * [progress]: [ 112 / 234 ] simplifiying candidate # 70.373 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 70.373 * * [simplify]: iters left: 6 (9 enodes) 70.375 * * [simplify]: iters left: 5 (33 enodes) 70.381 * * [simplify]: iters left: 4 (43 enodes) 70.388 * * [simplify]: iters left: 3 (45 enodes) 70.396 * * [simplify]: Extracting #0: cost 1 inf + 0 70.396 * * [simplify]: Extracting #1: cost 8 inf + 0 70.396 * * [simplify]: Extracting #2: cost 16 inf + 0 70.396 * * [simplify]: Extracting #3: cost 16 inf + 284 70.397 * * [simplify]: Extracting #4: cost 11 inf + 610 70.397 * * [simplify]: Extracting #5: cost 8 inf + 815 70.397 * * [simplify]: Extracting #6: cost 0 inf + 2517 70.397 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 70.397 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.398 * * * * [progress]: [ 113 / 234 ] simplifiying candidate # 70.398 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) 70.398 * * [simplify]: iters left: 6 (8 enodes) 70.402 * * [simplify]: iters left: 5 (30 enodes) 70.409 * * [simplify]: iters left: 4 (35 enodes) 70.415 * * [simplify]: Extracting #0: cost 1 inf + 0 70.415 * * [simplify]: Extracting #1: cost 6 inf + 0 70.415 * * [simplify]: Extracting #2: cost 8 inf + 42 70.415 * * [simplify]: Extracting #3: cost 11 inf + 83 70.415 * * [simplify]: Extracting #4: cost 10 inf + 85 70.415 * * [simplify]: Extracting #5: cost 4 inf + 658 70.415 * * [simplify]: Extracting #6: cost 0 inf + 1227 70.415 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 70.415 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.416 * * * * [progress]: [ 114 / 234 ] simplifiying candidate # 70.416 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) 70.416 * * [simplify]: iters left: 6 (8 enodes) 70.418 * * [simplify]: iters left: 5 (30 enodes) 70.423 * * [simplify]: iters left: 4 (40 enodes) 70.429 * * [simplify]: iters left: 3 (42 enodes) 70.436 * * [simplify]: Extracting #0: cost 1 inf + 0 70.437 * * [simplify]: Extracting #1: cost 8 inf + 0 70.437 * * [simplify]: Extracting #2: cost 12 inf + 42 70.437 * * [simplify]: Extracting #3: cost 13 inf + 245 70.437 * * [simplify]: Extracting #4: cost 12 inf + 247 70.437 * * [simplify]: Extracting #5: cost 5 inf + 1143 70.438 * * [simplify]: Extracting #6: cost 0 inf + 1875 70.438 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2))) 70.438 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.439 * * * * [progress]: [ 115 / 234 ] simplifiying candidate # 70.439 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) 70.439 * * [simplify]: iters left: 6 (8 enodes) 70.444 * * [simplify]: iters left: 5 (30 enodes) 70.454 * * [simplify]: iters left: 4 (40 enodes) 70.466 * * [simplify]: iters left: 3 (42 enodes) 70.478 * * [simplify]: Extracting #0: cost 1 inf + 0 70.478 * * [simplify]: Extracting #1: cost 8 inf + 0 70.478 * * [simplify]: Extracting #2: cost 11 inf + 203 70.478 * * [simplify]: Extracting #3: cost 13 inf + 405 70.478 * * [simplify]: Extracting #4: cost 12 inf + 407 70.479 * * [simplify]: Extracting #5: cost 3 inf + 1789 70.479 * * [simplify]: Extracting #6: cost 0 inf + 2195 70.480 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2)) 70.480 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.480 * * * * [progress]: [ 116 / 234 ] simplifiying candidate # 70.481 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) 70.481 * * [simplify]: iters left: 6 (8 enodes) 70.485 * * [simplify]: iters left: 5 (30 enodes) 70.495 * * [simplify]: iters left: 4 (40 enodes) 70.507 * * [simplify]: iters left: 3 (42 enodes) 70.517 * * [simplify]: Extracting #0: cost 1 inf + 0 70.517 * * [simplify]: Extracting #1: cost 8 inf + 0 70.517 * * [simplify]: Extracting #2: cost 11 inf + 123 70.517 * * [simplify]: Extracting #3: cost 13 inf + 245 70.517 * * [simplify]: Extracting #4: cost 12 inf + 247 70.517 * * [simplify]: Extracting #5: cost 3 inf + 1509 70.518 * * [simplify]: Extracting #6: cost 0 inf + 1875 70.518 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2)) 70.518 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.518 * * * * [progress]: [ 117 / 234 ] simplifiying candidate # 70.519 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2) 70.519 * * [simplify]: iters left: 6 (7 enodes) 70.521 * * [simplify]: iters left: 5 (28 enodes) 70.526 * * [simplify]: iters left: 4 (35 enodes) 70.532 * * [simplify]: Extracting #0: cost 1 inf + 0 70.532 * * [simplify]: Extracting #1: cost 6 inf + 0 70.532 * * [simplify]: Extracting #2: cost 7 inf + 2 70.532 * * [simplify]: Extracting #3: cost 11 inf + 2 70.532 * * [simplify]: Extracting #4: cost 9 inf + 45 70.532 * * [simplify]: Extracting #5: cost 4 inf + 455 70.532 * * [simplify]: Extracting #6: cost 0 inf + 1066 70.532 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4) 70.532 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.532 * * * * [progress]: [ 118 / 234 ] simplifiying candidate # 70.533 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) 70.533 * * [simplify]: iters left: 6 (8 enodes) 70.535 * * [simplify]: iters left: 5 (30 enodes) 70.541 * * [simplify]: iters left: 4 (37 enodes) 70.550 * * [simplify]: Extracting #0: cost 1 inf + 0 70.550 * * [simplify]: Extracting #1: cost 6 inf + 0 70.550 * * [simplify]: Extracting #2: cost 12 inf + 0 70.550 * * [simplify]: Extracting #3: cost 11 inf + 405 70.551 * * [simplify]: Extracting #4: cost 10 inf + 407 70.551 * * [simplify]: Extracting #5: cost 4 inf + 1100 70.551 * * [simplify]: Extracting #6: cost 0 inf + 1629 70.552 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 70.552 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.552 * * * * [progress]: [ 119 / 234 ] simplifiying candidate # 70.553 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 70.553 * * [simplify]: iters left: 6 (9 enodes) 70.558 * * [simplify]: iters left: 5 (33 enodes) 70.566 * * [simplify]: iters left: 4 (43 enodes) 70.573 * * [simplify]: iters left: 3 (45 enodes) 70.581 * * [simplify]: Extracting #0: cost 1 inf + 0 70.581 * * [simplify]: Extracting #1: cost 8 inf + 0 70.581 * * [simplify]: Extracting #2: cost 16 inf + 0 70.581 * * [simplify]: Extracting #3: cost 16 inf + 284 70.581 * * [simplify]: Extracting #4: cost 11 inf + 610 70.581 * * [simplify]: Extracting #5: cost 8 inf + 775 70.581 * * [simplify]: Extracting #6: cost 0 inf + 2197 70.582 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 70.582 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.582 * * * * [progress]: [ 120 / 234 ] simplifiying candidate # 70.582 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) 70.582 * * [simplify]: iters left: 6 (8 enodes) 70.585 * * [simplify]: iters left: 5 (30 enodes) 70.590 * * [simplify]: iters left: 4 (40 enodes) 70.596 * * [simplify]: iters left: 3 (42 enodes) 70.606 * * [simplify]: Extracting #0: cost 1 inf + 0 70.607 * * [simplify]: Extracting #1: cost 8 inf + 0 70.607 * * [simplify]: Extracting #2: cost 12 inf + 82 70.607 * * [simplify]: Extracting #3: cost 13 inf + 405 70.607 * * [simplify]: Extracting #4: cost 12 inf + 407 70.607 * * [simplify]: Extracting #5: cost 5 inf + 1223 70.608 * * [simplify]: Extracting #6: cost 0 inf + 1875 70.608 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2))) 70.608 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.609 * * * * [progress]: [ 121 / 234 ] simplifiying candidate # 70.609 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 70.609 * * [simplify]: iters left: 6 (9 enodes) 70.618 * * [simplify]: iters left: 5 (33 enodes) 70.629 * * [simplify]: iters left: 4 (43 enodes) 70.643 * * [simplify]: iters left: 3 (45 enodes) 70.654 * * [simplify]: Extracting #0: cost 1 inf + 0 70.654 * * [simplify]: Extracting #1: cost 8 inf + 0 70.654 * * [simplify]: Extracting #2: cost 16 inf + 0 70.654 * * [simplify]: Extracting #3: cost 16 inf + 284 70.654 * * [simplify]: Extracting #4: cost 11 inf + 610 70.655 * * [simplify]: Extracting #5: cost 8 inf + 775 70.655 * * [simplify]: Extracting #6: cost 0 inf + 2197 70.655 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 70.655 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.655 * * * * [progress]: [ 122 / 234 ] simplifiying candidate # 70.656 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 70.656 * * [simplify]: iters left: 6 (8 enodes) 70.658 * * [simplify]: iters left: 5 (30 enodes) 70.663 * * [simplify]: iters left: 4 (35 enodes) 70.668 * * [simplify]: Extracting #0: cost 1 inf + 0 70.668 * * [simplify]: Extracting #1: cost 6 inf + 0 70.668 * * [simplify]: Extracting #2: cost 8 inf + 42 70.668 * * [simplify]: Extracting #3: cost 11 inf + 83 70.669 * * [simplify]: Extracting #4: cost 10 inf + 85 70.669 * * [simplify]: Extracting #5: cost 4 inf + 538 70.669 * * [simplify]: Extracting #6: cost 0 inf + 987 70.669 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 70.669 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.669 * * * * [progress]: [ 123 / 234 ] simplifiying candidate # 70.669 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) 70.669 * * [simplify]: iters left: 6 (8 enodes) 70.672 * * [simplify]: iters left: 5 (30 enodes) 70.677 * * [simplify]: iters left: 4 (40 enodes) 70.687 * * [simplify]: iters left: 3 (42 enodes) 70.699 * * [simplify]: Extracting #0: cost 1 inf + 0 70.699 * * [simplify]: Extracting #1: cost 8 inf + 0 70.699 * * [simplify]: Extracting #2: cost 12 inf + 42 70.699 * * [simplify]: Extracting #3: cost 13 inf + 245 70.699 * * [simplify]: Extracting #4: cost 12 inf + 247 70.699 * * [simplify]: Extracting #5: cost 5 inf + 983 70.700 * * [simplify]: Extracting #6: cost 0 inf + 1555 70.700 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2))) 70.700 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.701 * * * * [progress]: [ 124 / 234 ] simplifiying candidate # 70.701 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) 70.701 * * [simplify]: iters left: 6 (8 enodes) 70.704 * * [simplify]: iters left: 5 (30 enodes) 70.709 * * [simplify]: iters left: 4 (40 enodes) 70.715 * * [simplify]: iters left: 3 (42 enodes) 70.721 * * [simplify]: Extracting #0: cost 1 inf + 0 70.721 * * [simplify]: Extracting #1: cost 8 inf + 0 70.722 * * [simplify]: Extracting #2: cost 11 inf + 203 70.722 * * [simplify]: Extracting #3: cost 13 inf + 405 70.722 * * [simplify]: Extracting #4: cost 12 inf + 407 70.722 * * [simplify]: Extracting #5: cost 3 inf + 1549 70.724 * * [simplify]: Extracting #6: cost 0 inf + 1875 70.724 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2)) 70.724 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.724 * * * * [progress]: [ 125 / 234 ] simplifiying candidate # 70.724 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) 70.724 * * [simplify]: iters left: 6 (8 enodes) 70.727 * * [simplify]: iters left: 5 (30 enodes) 70.732 * * [simplify]: iters left: 4 (40 enodes) 70.738 * * [simplify]: iters left: 3 (42 enodes) 70.744 * * [simplify]: Extracting #0: cost 1 inf + 0 70.744 * * [simplify]: Extracting #1: cost 8 inf + 0 70.744 * * [simplify]: Extracting #2: cost 11 inf + 123 70.744 * * [simplify]: Extracting #3: cost 13 inf + 245 70.744 * * [simplify]: Extracting #4: cost 12 inf + 247 70.745 * * [simplify]: Extracting #5: cost 3 inf + 1269 70.745 * * [simplify]: Extracting #6: cost 0 inf + 1555 70.745 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2)) 70.745 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.745 * * * * [progress]: [ 126 / 234 ] simplifiying candidate # 70.746 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2) 70.746 * * [simplify]: iters left: 6 (7 enodes) 70.749 * * [simplify]: iters left: 5 (28 enodes) 70.758 * * [simplify]: iters left: 4 (35 enodes) 70.768 * * [simplify]: Extracting #0: cost 1 inf + 0 70.768 * * [simplify]: Extracting #1: cost 6 inf + 0 70.768 * * [simplify]: Extracting #2: cost 7 inf + 2 70.769 * * [simplify]: Extracting #3: cost 11 inf + 2 70.769 * * [simplify]: Extracting #4: cost 9 inf + 45 70.769 * * [simplify]: Extracting #5: cost 4 inf + 375 70.769 * * [simplify]: Extracting #6: cost 0 inf + 826 70.770 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4) 70.770 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.770 * * * * [progress]: [ 127 / 234 ] simplifiying candidate # 70.770 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 70.770 * * [simplify]: iters left: 6 (7 enodes) 70.775 * * [simplify]: iters left: 5 (30 enodes) 70.785 * * [simplify]: iters left: 4 (49 enodes) 70.801 * * [simplify]: iters left: 3 (59 enodes) 70.810 * * [simplify]: iters left: 2 (64 enodes) 70.819 * * [simplify]: Extracting #0: cost 1 inf + 0 70.819 * * [simplify]: Extracting #1: cost 9 inf + 0 70.820 * * [simplify]: Extracting #2: cost 23 inf + 0 70.820 * * [simplify]: Extracting #3: cost 24 inf + 3 70.820 * * [simplify]: Extracting #4: cost 15 inf + 980 70.820 * * [simplify]: Extracting #5: cost 1 inf + 3007 70.821 * * [simplify]: Extracting #6: cost 0 inf + 3169 70.821 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 70.821 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.821 * * * * [progress]: [ 128 / 234 ] simplifiying candidate # 70.821 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 70.822 * * [simplify]: iters left: 6 (8 enodes) 70.824 * * [simplify]: iters left: 5 (33 enodes) 70.832 * * [simplify]: iters left: 4 (55 enodes) 70.847 * * [simplify]: iters left: 3 (72 enodes) 70.868 * * [simplify]: iters left: 2 (84 enodes) 70.892 * * [simplify]: iters left: 1 (88 enodes) 70.905 * * [simplify]: Extracting #0: cost 1 inf + 0 70.905 * * [simplify]: Extracting #1: cost 11 inf + 0 70.905 * * [simplify]: Extracting #2: cost 30 inf + 0 70.905 * * [simplify]: Extracting #3: cost 33 inf + 84 70.905 * * [simplify]: Extracting #4: cost 12 inf + 2402 70.906 * * [simplify]: Extracting #5: cost 0 inf + 4469 70.907 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 70.907 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.907 * * * * [progress]: [ 129 / 234 ] simplifiying candidate # 70.907 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 70.907 * * [simplify]: iters left: 6 (7 enodes) 70.910 * * [simplify]: iters left: 5 (30 enodes) 70.915 * * [simplify]: iters left: 4 (52 enodes) 70.924 * * [simplify]: iters left: 3 (70 enodes) 70.939 * * [simplify]: iters left: 2 (81 enodes) 70.953 * * [simplify]: iters left: 1 (84 enodes) 70.964 * * [simplify]: Extracting #0: cost 1 inf + 0 70.964 * * [simplify]: Extracting #1: cost 11 inf + 0 70.964 * * [simplify]: Extracting #2: cost 25 inf + 203 70.964 * * [simplify]: Extracting #3: cost 25 inf + 530 70.965 * * [simplify]: Extracting #4: cost 4 inf + 2936 70.965 * * [simplify]: Extracting #5: cost 0 inf + 3504 70.966 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 70.966 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 70.966 * * * * [progress]: [ 130 / 234 ] simplifiying candidate # 70.966 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 70.966 * * [simplify]: iters left: 6 (8 enodes) 70.971 * * [simplify]: iters left: 5 (33 enodes) 70.983 * * [simplify]: iters left: 4 (55 enodes) 71.000 * * [simplify]: iters left: 3 (72 enodes) 71.021 * * [simplify]: iters left: 2 (84 enodes) 71.036 * * [simplify]: iters left: 1 (88 enodes) 71.047 * * [simplify]: Extracting #0: cost 1 inf + 0 71.047 * * [simplify]: Extracting #1: cost 11 inf + 0 71.047 * * [simplify]: Extracting #2: cost 30 inf + 0 71.047 * * [simplify]: Extracting #3: cost 33 inf + 44 71.048 * * [simplify]: Extracting #4: cost 12 inf + 2362 71.048 * * [simplify]: Extracting #5: cost 0 inf + 4469 71.051 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 71.051 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 71.051 * * * * [progress]: [ 131 / 234 ] simplifiying candidate # 71.051 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 71.051 * * [simplify]: iters left: 6 (7 enodes) 71.054 * * [simplify]: iters left: 5 (30 enodes) 71.060 * * [simplify]: iters left: 4 (48 enodes) 71.076 * * [simplify]: iters left: 3 (56 enodes) 71.089 * * [simplify]: Extracting #0: cost 1 inf + 0 71.089 * * [simplify]: Extracting #1: cost 8 inf + 0 71.090 * * [simplify]: Extracting #2: cost 15 inf + 43 71.090 * * [simplify]: Extracting #3: cost 16 inf + 86 71.090 * * [simplify]: Extracting #4: cost 5 inf + 911 71.090 * * [simplify]: Extracting #5: cost 1 inf + 1198 71.090 * * [simplify]: Extracting #6: cost 0 inf + 1320 71.091 * [simplify]: Simplified to (/ (- 1 k) 2) 71.091 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 71.091 * * * * [progress]: [ 132 / 234 ] simplifiying candidate # 71.091 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 71.091 * * [simplify]: iters left: 6 (7 enodes) 71.094 * * [simplify]: iters left: 5 (30 enodes) 71.099 * * [simplify]: iters left: 4 (52 enodes) 71.108 * * [simplify]: iters left: 3 (70 enodes) 71.118 * * [simplify]: iters left: 2 (81 enodes) 71.129 * * [simplify]: iters left: 1 (84 enodes) 71.141 * * [simplify]: Extracting #0: cost 1 inf + 0 71.141 * * [simplify]: Extracting #1: cost 11 inf + 0 71.141 * * [simplify]: Extracting #2: cost 25 inf + 123 71.142 * * [simplify]: Extracting #3: cost 25 inf + 330 71.142 * * [simplify]: Extracting #4: cost 4 inf + 2256 71.143 * * [simplify]: Extracting #5: cost 0 inf + 2704 71.143 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 71.143 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 71.143 * * * * [progress]: [ 133 / 234 ] simplifiying candidate # 71.144 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 71.144 * * [simplify]: iters left: 6 (7 enodes) 71.149 * * [simplify]: iters left: 5 (31 enodes) 71.160 * * [simplify]: iters left: 4 (51 enodes) 71.176 * * [simplify]: iters left: 3 (64 enodes) 71.194 * * [simplify]: iters left: 2 (77 enodes) 71.209 * * [simplify]: iters left: 1 (84 enodes) 71.220 * * [simplify]: Extracting #0: cost 1 inf + 0 71.220 * * [simplify]: Extracting #1: cost 11 inf + 0 71.221 * * [simplify]: Extracting #2: cost 26 inf + 82 71.221 * * [simplify]: Extracting #3: cost 24 inf + 692 71.221 * * [simplify]: Extracting #4: cost 3 inf + 3057 71.222 * * [simplify]: Extracting #5: cost 0 inf + 3504 71.222 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 71.222 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 71.223 * * * * [progress]: [ 134 / 234 ] simplifiying candidate # 71.223 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 71.223 * * [simplify]: iters left: 6 (7 enodes) 71.228 * * [simplify]: iters left: 5 (31 enodes) 71.239 * * [simplify]: iters left: 4 (51 enodes) 71.253 * * [simplify]: iters left: 3 (64 enodes) 71.263 * * [simplify]: iters left: 2 (77 enodes) 71.276 * * [simplify]: iters left: 1 (84 enodes) 71.294 * * [simplify]: Extracting #0: cost 1 inf + 0 71.294 * * [simplify]: Extracting #1: cost 11 inf + 0 71.295 * * [simplify]: Extracting #2: cost 26 inf + 42 71.295 * * [simplify]: Extracting #3: cost 24 inf + 452 71.296 * * [simplify]: Extracting #4: cost 3 inf + 2337 71.297 * * [simplify]: Extracting #5: cost 0 inf + 2704 71.298 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 71.298 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 71.298 * * * * [progress]: [ 135 / 234 ] simplifiying candidate # 71.299 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 71.299 * * [simplify]: iters left: 6 (6 enodes) 71.303 * * [simplify]: iters left: 5 (29 enodes) 71.312 * * [simplify]: iters left: 4 (44 enodes) 71.319 * * [simplify]: iters left: 3 (50 enodes) 71.327 * * [simplify]: iters left: 2 (57 enodes) 71.334 * * [simplify]: Extracting #0: cost 1 inf + 0 71.335 * * [simplify]: Extracting #1: cost 9 inf + 0 71.335 * * [simplify]: Extracting #2: cost 15 inf + 3 71.335 * * [simplify]: Extracting #3: cost 11 inf + 131 71.335 * * [simplify]: Extracting #4: cost 2 inf + 711 71.335 * * [simplify]: Extracting #5: cost 0 inf + 836 71.336 * [simplify]: Simplified to (- 1/4 (/ k 4)) 71.336 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 71.336 * * * * [progress]: [ 136 / 234 ] simplifiying candidate # 71.336 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) 71.336 * * [simplify]: iters left: 6 (9 enodes) 71.339 * * [simplify]: iters left: 5 (36 enodes) 71.347 * * [simplify]: iters left: 4 (58 enodes) 71.364 * * [simplify]: iters left: 3 (71 enodes) 71.385 * * [simplify]: iters left: 2 (79 enodes) 71.396 * * [simplify]: iters left: 1 (80 enodes) 71.406 * * [simplify]: Extracting #0: cost 1 inf + 0 71.406 * * [simplify]: Extracting #1: cost 9 inf + 0 71.406 * * [simplify]: Extracting #2: cost 24 inf + 0 71.406 * * [simplify]: Extracting #3: cost 29 inf + 2 71.407 * * [simplify]: Extracting #4: cost 10 inf + 2233 71.407 * * [simplify]: Extracting #5: cost 1 inf + 4013 71.408 * * [simplify]: Extracting #6: cost 0 inf + 4135 71.409 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 71.409 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 71.409 * * * * [progress]: [ 137 / 234 ] simplifiying candidate # 71.409 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) 71.409 * * [simplify]: iters left: 6 (10 enodes) 71.415 * * [simplify]: iters left: 5 (39 enodes) 71.427 * * [simplify]: iters left: 4 (64 enodes) 71.443 * * [simplify]: iters left: 3 (86 enodes) 71.456 * * [simplify]: iters left: 2 (99 enodes) 71.473 * * [simplify]: iters left: 1 (104 enodes) 71.502 * * [simplify]: Extracting #0: cost 1 inf + 0 71.503 * * [simplify]: Extracting #1: cost 11 inf + 0 71.503 * * [simplify]: Extracting #2: cost 31 inf + 0 71.503 * * [simplify]: Extracting #3: cost 39 inf + 2 71.503 * * [simplify]: Extracting #4: cost 22 inf + 1871 71.505 * * [simplify]: Extracting #5: cost 4 inf + 4865 71.507 * * [simplify]: Extracting #6: cost 0 inf + 5675 71.509 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 71.509 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 71.509 * * * * [progress]: [ 138 / 234 ] simplifiying candidate # 71.509 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) 71.509 * * [simplify]: iters left: 6 (9 enodes) 71.515 * * [simplify]: iters left: 5 (36 enodes) 71.526 * * [simplify]: iters left: 4 (61 enodes) 71.543 * * [simplify]: iters left: 3 (84 enodes) 71.555 * * [simplify]: iters left: 2 (96 enodes) 71.567 * * [simplify]: iters left: 1 (100 enodes) 71.580 * * [simplify]: Extracting #0: cost 1 inf + 0 71.580 * * [simplify]: Extracting #1: cost 11 inf + 0 71.581 * * [simplify]: Extracting #2: cost 27 inf + 82 71.581 * * [simplify]: Extracting #3: cost 29 inf + 651 71.581 * * [simplify]: Extracting #4: cost 12 inf + 2763 71.583 * * [simplify]: Extracting #5: cost 1 inf + 4587 71.584 * * [simplify]: Extracting #6: cost 0 inf + 4710 71.586 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 71.586 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 71.586 * * * * [progress]: [ 139 / 234 ] simplifiying candidate # 71.586 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) 71.586 * * [simplify]: iters left: 6 (10 enodes) 71.595 * * [simplify]: iters left: 5 (39 enodes) 71.608 * * [simplify]: iters left: 4 (64 enodes) 71.617 * * [simplify]: iters left: 3 (86 enodes) 71.629 * * [simplify]: iters left: 2 (99 enodes) 71.645 * * [simplify]: iters left: 1 (104 enodes) 71.671 * * [simplify]: Extracting #0: cost 1 inf + 0 71.671 * * [simplify]: Extracting #1: cost 11 inf + 0 71.671 * * [simplify]: Extracting #2: cost 31 inf + 0 71.671 * * [simplify]: Extracting #3: cost 39 inf + 2 71.671 * * [simplify]: Extracting #4: cost 22 inf + 1831 71.673 * * [simplify]: Extracting #5: cost 4 inf + 4785 71.675 * * [simplify]: Extracting #6: cost 0 inf + 5595 71.677 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 71.677 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 71.677 * * * * [progress]: [ 140 / 234 ] simplifiying candidate # 71.677 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 71.678 * * [simplify]: iters left: 6 (9 enodes) 71.683 * * [simplify]: iters left: 5 (36 enodes) 71.695 * * [simplify]: iters left: 4 (57 enodes) 71.716 * * [simplify]: iters left: 3 (73 enodes) 71.727 * * [simplify]: iters left: 2 (80 enodes) 71.737 * * [simplify]: iters left: 1 (81 enodes) 71.747 * * [simplify]: Extracting #0: cost 1 inf + 0 71.747 * * [simplify]: Extracting #1: cost 9 inf + 0 71.747 * * [simplify]: Extracting #2: cost 18 inf + 43 71.747 * * [simplify]: Extracting #3: cost 23 inf + 85 71.747 * * [simplify]: Extracting #4: cost 9 inf + 1271 71.748 * * [simplify]: Extracting #5: cost 0 inf + 2370 71.748 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 71.748 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 71.748 * * * * [progress]: [ 141 / 234 ] simplifiying candidate # 71.749 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) 71.749 * * [simplify]: iters left: 6 (9 enodes) 71.752 * * [simplify]: iters left: 5 (36 enodes) 71.764 * * [simplify]: iters left: 4 (61 enodes) 71.783 * * [simplify]: iters left: 3 (84 enodes) 71.806 * * [simplify]: iters left: 2 (96 enodes) 71.826 * * [simplify]: iters left: 1 (100 enodes) 71.840 * * [simplify]: Extracting #0: cost 1 inf + 0 71.840 * * [simplify]: Extracting #1: cost 11 inf + 0 71.840 * * [simplify]: Extracting #2: cost 27 inf + 42 71.840 * * [simplify]: Extracting #3: cost 29 inf + 411 71.841 * * [simplify]: Extracting #4: cost 12 inf + 2163 71.841 * * [simplify]: Extracting #5: cost 1 inf + 3707 71.842 * * [simplify]: Extracting #6: cost 0 inf + 3830 71.843 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 71.843 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 71.843 * * * * [progress]: [ 142 / 234 ] simplifiying candidate # 71.843 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) 71.843 * * [simplify]: iters left: 6 (9 enodes) 71.846 * * [simplify]: iters left: 5 (36 enodes) 71.853 * * [simplify]: iters left: 4 (62 enodes) 71.869 * * [simplify]: iters left: 3 (78 enodes) 71.889 * * [simplify]: iters left: 2 (90 enodes) 71.911 * * [simplify]: iters left: 1 (94 enodes) 71.923 * * [simplify]: Extracting #0: cost 1 inf + 0 71.923 * * [simplify]: Extracting #1: cost 11 inf + 0 71.923 * * [simplify]: Extracting #2: cost 27 inf + 1 71.923 * * [simplify]: Extracting #3: cost 29 inf + 409 71.924 * * [simplify]: Extracting #4: cost 12 inf + 2359 71.924 * * [simplify]: Extracting #5: cost 2 inf + 4022 71.925 * * [simplify]: Extracting #6: cost 0 inf + 4466 71.926 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 71.926 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 71.926 * * * * [progress]: [ 143 / 234 ] simplifiying candidate # 71.926 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) 71.926 * * [simplify]: iters left: 6 (9 enodes) 71.929 * * [simplify]: iters left: 5 (36 enodes) 71.940 * * [simplify]: iters left: 4 (62 enodes) 71.957 * * [simplify]: iters left: 3 (78 enodes) 71.979 * * [simplify]: iters left: 2 (90 enodes) 72.002 * * [simplify]: iters left: 1 (94 enodes) 72.025 * * [simplify]: Extracting #0: cost 1 inf + 0 72.025 * * [simplify]: Extracting #1: cost 11 inf + 0 72.026 * * [simplify]: Extracting #2: cost 27 inf + 1 72.026 * * [simplify]: Extracting #3: cost 29 inf + 249 72.026 * * [simplify]: Extracting #4: cost 12 inf + 1879 72.028 * * [simplify]: Extracting #5: cost 2 inf + 3302 72.029 * * [simplify]: Extracting #6: cost 0 inf + 3666 72.031 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 72.031 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 72.031 * * * * [progress]: [ 144 / 234 ] simplifiying candidate # 72.031 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) 72.031 * * [simplify]: iters left: 6 (8 enodes) 72.036 * * [simplify]: iters left: 5 (34 enodes) 72.044 * * [simplify]: iters left: 4 (58 enodes) 72.052 * * [simplify]: iters left: 3 (65 enodes) 72.063 * * [simplify]: Extracting #0: cost 1 inf + 0 72.063 * * [simplify]: Extracting #1: cost 8 inf + 0 72.063 * * [simplify]: Extracting #2: cost 14 inf + 3 72.063 * * [simplify]: Extracting #3: cost 17 inf + 5 72.063 * * [simplify]: Extracting #4: cost 12 inf + 292 72.063 * * [simplify]: Extracting #5: cost 1 inf + 1355 72.064 * * [simplify]: Extracting #6: cost 0 inf + 1478 72.064 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4) 72.064 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 72.064 * * * * [progress]: [ 145 / 234 ] simplifiying candidate # 72.064 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) 72.064 * * [simplify]: iters left: 6 (8 enodes) 72.067 * * [simplify]: iters left: 5 (33 enodes) 72.078 * * [simplify]: iters left: 4 (52 enodes) 72.094 * * [simplify]: iters left: 3 (62 enodes) 72.105 * * [simplify]: iters left: 2 (67 enodes) 72.114 * * [simplify]: Extracting #0: cost 1 inf + 0 72.115 * * [simplify]: Extracting #1: cost 9 inf + 0 72.115 * * [simplify]: Extracting #2: cost 23 inf + 0 72.115 * * [simplify]: Extracting #3: cost 24 inf + 285 72.115 * * [simplify]: Extracting #4: cost 18 inf + 975 72.115 * * [simplify]: Extracting #5: cost 7 inf + 2516 72.116 * * [simplify]: Extracting #6: cost 0 inf + 3891 72.116 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 72.116 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 72.116 * * * * [progress]: [ 146 / 234 ] simplifiying candidate # 72.117 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) 72.117 * * [simplify]: iters left: 6 (9 enodes) 72.120 * * [simplify]: iters left: 5 (36 enodes) 72.126 * * [simplify]: iters left: 4 (58 enodes) 72.144 * * [simplify]: iters left: 3 (75 enodes) 72.164 * * [simplify]: iters left: 2 (87 enodes) 72.178 * * [simplify]: iters left: 1 (91 enodes) 72.190 * * [simplify]: Extracting #0: cost 1 inf + 0 72.190 * * [simplify]: Extracting #1: cost 11 inf + 0 72.190 * * [simplify]: Extracting #2: cost 30 inf + 0 72.190 * * [simplify]: Extracting #3: cost 36 inf + 83 72.190 * * [simplify]: Extracting #4: cost 30 inf + 451 72.191 * * [simplify]: Extracting #5: cost 10 inf + 3649 72.192 * * [simplify]: Extracting #6: cost 0 inf + 5431 72.193 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 72.193 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 72.193 * * * * [progress]: [ 147 / 234 ] simplifiying candidate # 72.193 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) 72.193 * * [simplify]: iters left: 6 (8 enodes) 72.196 * * [simplify]: iters left: 5 (33 enodes) 72.202 * * [simplify]: iters left: 4 (55 enodes) 72.210 * * [simplify]: iters left: 3 (73 enodes) 72.227 * * [simplify]: iters left: 2 (84 enodes) 72.246 * * [simplify]: iters left: 1 (87 enodes) 72.258 * * [simplify]: Extracting #0: cost 1 inf + 0 72.258 * * [simplify]: Extracting #1: cost 11 inf + 0 72.258 * * [simplify]: Extracting #2: cost 25 inf + 203 72.258 * * [simplify]: Extracting #3: cost 29 inf + 407 72.258 * * [simplify]: Extracting #4: cost 24 inf + 896 72.259 * * [simplify]: Extracting #5: cost 9 inf + 2805 72.259 * * [simplify]: Extracting #6: cost 0 inf + 4466 72.260 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 72.260 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 72.260 * * * * [progress]: [ 148 / 234 ] simplifiying candidate # 72.260 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) 72.260 * * [simplify]: iters left: 6 (9 enodes) 72.265 * * [simplify]: iters left: 5 (36 enodes) 72.271 * * [simplify]: iters left: 4 (58 enodes) 72.289 * * [simplify]: iters left: 3 (75 enodes) 72.311 * * [simplify]: iters left: 2 (87 enodes) 72.336 * * [simplify]: iters left: 1 (91 enodes) 72.361 * * [simplify]: Extracting #0: cost 1 inf + 0 72.361 * * [simplify]: Extracting #1: cost 11 inf + 0 72.361 * * [simplify]: Extracting #2: cost 30 inf + 0 72.361 * * [simplify]: Extracting #3: cost 36 inf + 43 72.361 * * [simplify]: Extracting #4: cost 30 inf + 451 72.362 * * [simplify]: Extracting #5: cost 10 inf + 3769 72.364 * * [simplify]: Extracting #6: cost 0 inf + 5431 72.366 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 72.366 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 72.366 * * * * [progress]: [ 149 / 234 ] simplifiying candidate # 72.367 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 72.367 * * [simplify]: iters left: 6 (8 enodes) 72.372 * * [simplify]: iters left: 5 (33 enodes) 72.385 * * [simplify]: iters left: 4 (51 enodes) 72.400 * * [simplify]: iters left: 3 (59 enodes) 72.420 * * [simplify]: Extracting #0: cost 1 inf + 0 72.420 * * [simplify]: Extracting #1: cost 8 inf + 0 72.420 * * [simplify]: Extracting #2: cost 15 inf + 43 72.420 * * [simplify]: Extracting #3: cost 19 inf + 85 72.421 * * [simplify]: Extracting #4: cost 16 inf + 250 72.421 * * [simplify]: Extracting #5: cost 5 inf + 1311 72.422 * * [simplify]: Extracting #6: cost 0 inf + 1962 72.423 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 72.423 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 72.423 * * * * [progress]: [ 150 / 234 ] simplifiying candidate # 72.423 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) 72.423 * * [simplify]: iters left: 6 (8 enodes) 72.428 * * [simplify]: iters left: 5 (33 enodes) 72.440 * * [simplify]: iters left: 4 (55 enodes) 72.458 * * [simplify]: iters left: 3 (73 enodes) 72.479 * * [simplify]: iters left: 2 (84 enodes) 72.497 * * [simplify]: iters left: 1 (87 enodes) 72.508 * * [simplify]: Extracting #0: cost 1 inf + 0 72.508 * * [simplify]: Extracting #1: cost 11 inf + 0 72.508 * * [simplify]: Extracting #2: cost 25 inf + 123 72.508 * * [simplify]: Extracting #3: cost 29 inf + 247 72.508 * * [simplify]: Extracting #4: cost 24 inf + 576 72.509 * * [simplify]: Extracting #5: cost 9 inf + 2245 72.509 * * [simplify]: Extracting #6: cost 0 inf + 3666 72.510 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 72.510 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 72.510 * * * * [progress]: [ 151 / 234 ] simplifiying candidate # 72.510 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) 72.510 * * [simplify]: iters left: 6 (8 enodes) 72.513 * * [simplify]: iters left: 5 (34 enodes) 72.519 * * [simplify]: iters left: 4 (54 enodes) 72.536 * * [simplify]: iters left: 3 (67 enodes) 72.555 * * [simplify]: iters left: 2 (80 enodes) 72.566 * * [simplify]: iters left: 1 (87 enodes) 72.577 * * [simplify]: Extracting #0: cost 1 inf + 0 72.577 * * [simplify]: Extracting #1: cost 11 inf + 0 72.577 * * [simplify]: Extracting #2: cost 25 inf + 203 72.577 * * [simplify]: Extracting #3: cost 26 inf + 773 72.577 * * [simplify]: Extracting #4: cost 24 inf + 896 72.578 * * [simplify]: Extracting #5: cost 8 inf + 3127 72.578 * * [simplify]: Extracting #6: cost 0 inf + 4466 72.580 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 72.580 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 72.580 * * * * [progress]: [ 152 / 234 ] simplifiying candidate # 72.580 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) 72.580 * * [simplify]: iters left: 6 (8 enodes) 72.586 * * [simplify]: iters left: 5 (34 enodes) 72.597 * * [simplify]: iters left: 4 (54 enodes) 72.614 * * [simplify]: iters left: 3 (67 enodes) 72.634 * * [simplify]: iters left: 2 (80 enodes) 72.654 * * [simplify]: iters left: 1 (87 enodes) 72.667 * * [simplify]: Extracting #0: cost 1 inf + 0 72.668 * * [simplify]: Extracting #1: cost 11 inf + 0 72.668 * * [simplify]: Extracting #2: cost 25 inf + 123 72.668 * * [simplify]: Extracting #3: cost 26 inf + 493 72.668 * * [simplify]: Extracting #4: cost 24 inf + 576 72.668 * * [simplify]: Extracting #5: cost 8 inf + 2527 72.669 * * [simplify]: Extracting #6: cost 0 inf + 3666 72.670 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 72.670 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 72.670 * * * * [progress]: [ 153 / 234 ] simplifiying candidate # 72.670 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2) 72.670 * * [simplify]: iters left: 6 (7 enodes) 72.673 * * [simplify]: iters left: 5 (32 enodes) 72.679 * * [simplify]: iters left: 4 (50 enodes) 72.694 * * [simplify]: iters left: 3 (54 enodes) 72.709 * * [simplify]: Extracting #0: cost 1 inf + 0 72.709 * * [simplify]: Extracting #1: cost 8 inf + 0 72.709 * * [simplify]: Extracting #2: cost 13 inf + 3 72.709 * * [simplify]: Extracting #3: cost 15 inf + 5 72.709 * * [simplify]: Extracting #4: cost 14 inf + 6 72.709 * * [simplify]: Extracting #5: cost 4 inf + 825 72.710 * * [simplify]: Extracting #6: cost 0 inf + 1234 72.710 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4)) 72.710 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 72.711 * * * * [progress]: [ 154 / 234 ] simplifiying candidate # 72.711 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 72.711 * * [simplify]: iters left: 6 (7 enodes) 72.713 * * [simplify]: iters left: 5 (30 enodes) 72.718 * * [simplify]: iters left: 4 (49 enodes) 72.726 * * [simplify]: iters left: 3 (59 enodes) 72.735 * * [simplify]: iters left: 2 (64 enodes) 72.744 * * [simplify]: Extracting #0: cost 1 inf + 0 72.744 * * [simplify]: Extracting #1: cost 9 inf + 0 72.744 * * [simplify]: Extracting #2: cost 23 inf + 0 72.744 * * [simplify]: Extracting #3: cost 24 inf + 3 72.745 * * [simplify]: Extracting #4: cost 15 inf + 980 72.745 * * [simplify]: Extracting #5: cost 1 inf + 3007 72.746 * * [simplify]: Extracting #6: cost 0 inf + 3169 72.747 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 72.747 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 72.748 * * * * [progress]: [ 155 / 234 ] simplifiying candidate # 72.748 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 72.748 * * [simplify]: iters left: 6 (8 enodes) 72.753 * * [simplify]: iters left: 5 (33 enodes) 72.767 * * [simplify]: iters left: 4 (55 enodes) 72.785 * * [simplify]: iters left: 3 (72 enodes) 72.805 * * [simplify]: iters left: 2 (84 enodes) 72.829 * * [simplify]: iters left: 1 (88 enodes) 72.852 * * [simplify]: Extracting #0: cost 1 inf + 0 72.852 * * [simplify]: Extracting #1: cost 11 inf + 0 72.852 * * [simplify]: Extracting #2: cost 30 inf + 0 72.852 * * [simplify]: Extracting #3: cost 33 inf + 84 72.853 * * [simplify]: Extracting #4: cost 12 inf + 2402 72.854 * * [simplify]: Extracting #5: cost 0 inf + 4469 72.856 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 72.856 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 72.856 * * * * [progress]: [ 156 / 234 ] simplifiying candidate # 72.856 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 72.856 * * [simplify]: iters left: 6 (7 enodes) 72.861 * * [simplify]: iters left: 5 (30 enodes) 72.871 * * [simplify]: iters left: 4 (52 enodes) 72.888 * * [simplify]: iters left: 3 (70 enodes) 72.898 * * [simplify]: iters left: 2 (81 enodes) 72.910 * * [simplify]: iters left: 1 (84 enodes) 72.921 * * [simplify]: Extracting #0: cost 1 inf + 0 72.922 * * [simplify]: Extracting #1: cost 11 inf + 0 72.922 * * [simplify]: Extracting #2: cost 25 inf + 203 72.922 * * [simplify]: Extracting #3: cost 25 inf + 530 72.922 * * [simplify]: Extracting #4: cost 4 inf + 2936 72.923 * * [simplify]: Extracting #5: cost 0 inf + 3504 72.923 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 72.923 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 72.924 * * * * [progress]: [ 157 / 234 ] simplifiying candidate # 72.924 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 72.924 * * [simplify]: iters left: 6 (8 enodes) 72.927 * * [simplify]: iters left: 5 (33 enodes) 72.933 * * [simplify]: iters left: 4 (55 enodes) 72.941 * * [simplify]: iters left: 3 (72 enodes) 72.956 * * [simplify]: iters left: 2 (84 enodes) 72.979 * * [simplify]: iters left: 1 (88 enodes) 73.002 * * [simplify]: Extracting #0: cost 1 inf + 0 73.002 * * [simplify]: Extracting #1: cost 11 inf + 0 73.002 * * [simplify]: Extracting #2: cost 30 inf + 0 73.002 * * [simplify]: Extracting #3: cost 33 inf + 44 73.003 * * [simplify]: Extracting #4: cost 12 inf + 2362 73.007 * * [simplify]: Extracting #5: cost 0 inf + 4469 73.008 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 73.008 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 73.009 * * * * [progress]: [ 158 / 234 ] simplifiying candidate # 73.009 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 73.009 * * [simplify]: iters left: 6 (7 enodes) 73.014 * * [simplify]: iters left: 5 (30 enodes) 73.025 * * [simplify]: iters left: 4 (48 enodes) 73.040 * * [simplify]: iters left: 3 (56 enodes) 73.052 * * [simplify]: Extracting #0: cost 1 inf + 0 73.052 * * [simplify]: Extracting #1: cost 8 inf + 0 73.052 * * [simplify]: Extracting #2: cost 15 inf + 43 73.052 * * [simplify]: Extracting #3: cost 16 inf + 86 73.052 * * [simplify]: Extracting #4: cost 5 inf + 911 73.052 * * [simplify]: Extracting #5: cost 1 inf + 1198 73.052 * * [simplify]: Extracting #6: cost 0 inf + 1320 73.053 * [simplify]: Simplified to (/ (- 1 k) 2) 73.053 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 73.053 * * * * [progress]: [ 159 / 234 ] simplifiying candidate # 73.053 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 73.053 * * [simplify]: iters left: 6 (7 enodes) 73.056 * * [simplify]: iters left: 5 (30 enodes) 73.062 * * [simplify]: iters left: 4 (52 enodes) 73.070 * * [simplify]: iters left: 3 (70 enodes) 73.083 * * [simplify]: iters left: 2 (81 enodes) 73.104 * * [simplify]: iters left: 1 (84 enodes) 73.126 * * [simplify]: Extracting #0: cost 1 inf + 0 73.126 * * [simplify]: Extracting #1: cost 11 inf + 0 73.126 * * [simplify]: Extracting #2: cost 25 inf + 123 73.126 * * [simplify]: Extracting #3: cost 25 inf + 330 73.127 * * [simplify]: Extracting #4: cost 4 inf + 2256 73.130 * * [simplify]: Extracting #5: cost 0 inf + 2704 73.132 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 73.132 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 73.132 * * * * [progress]: [ 160 / 234 ] simplifiying candidate # 73.132 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 73.132 * * [simplify]: iters left: 6 (7 enodes) 73.137 * * [simplify]: iters left: 5 (31 enodes) 73.149 * * [simplify]: iters left: 4 (51 enodes) 73.162 * * [simplify]: iters left: 3 (64 enodes) 73.171 * * [simplify]: iters left: 2 (77 enodes) 73.183 * * [simplify]: iters left: 1 (84 enodes) 73.203 * * [simplify]: Extracting #0: cost 1 inf + 0 73.203 * * [simplify]: Extracting #1: cost 11 inf + 0 73.203 * * [simplify]: Extracting #2: cost 26 inf + 82 73.203 * * [simplify]: Extracting #3: cost 24 inf + 692 73.204 * * [simplify]: Extracting #4: cost 3 inf + 3057 73.205 * * [simplify]: Extracting #5: cost 0 inf + 3504 73.206 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 73.206 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 73.207 * * * * [progress]: [ 161 / 234 ] simplifiying candidate # 73.207 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 73.207 * * [simplify]: iters left: 6 (7 enodes) 73.212 * * [simplify]: iters left: 5 (31 enodes) 73.223 * * [simplify]: iters left: 4 (51 enodes) 73.238 * * [simplify]: iters left: 3 (64 enodes) 73.253 * * [simplify]: iters left: 2 (77 enodes) 73.264 * * [simplify]: iters left: 1 (84 enodes) 73.275 * * [simplify]: Extracting #0: cost 1 inf + 0 73.275 * * [simplify]: Extracting #1: cost 11 inf + 0 73.275 * * [simplify]: Extracting #2: cost 26 inf + 42 73.276 * * [simplify]: Extracting #3: cost 24 inf + 452 73.276 * * [simplify]: Extracting #4: cost 3 inf + 2337 73.277 * * [simplify]: Extracting #5: cost 0 inf + 2704 73.277 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 73.277 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 73.278 * * * * [progress]: [ 162 / 234 ] simplifiying candidate # 73.278 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 73.278 * * [simplify]: iters left: 6 (6 enodes) 73.280 * * [simplify]: iters left: 5 (29 enodes) 73.285 * * [simplify]: iters left: 4 (44 enodes) 73.292 * * [simplify]: iters left: 3 (50 enodes) 73.300 * * [simplify]: iters left: 2 (57 enodes) 73.313 * * [simplify]: Extracting #0: cost 1 inf + 0 73.313 * * [simplify]: Extracting #1: cost 9 inf + 0 73.313 * * [simplify]: Extracting #2: cost 15 inf + 3 73.313 * * [simplify]: Extracting #3: cost 11 inf + 131 73.313 * * [simplify]: Extracting #4: cost 2 inf + 711 73.314 * * [simplify]: Extracting #5: cost 0 inf + 836 73.314 * [simplify]: Simplified to (- 1/4 (/ k 4)) 73.314 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 73.314 * * * * [progress]: [ 163 / 234 ] simplifiying candidate # 73.315 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 73.315 * * [simplify]: iters left: 6 (7 enodes) 73.320 * * [simplify]: iters left: 5 (31 enodes) 73.330 * * [simplify]: iters left: 4 (51 enodes) 73.338 * * [simplify]: iters left: 3 (64 enodes) 73.349 * * [simplify]: iters left: 2 (77 enodes) 73.360 * * [simplify]: iters left: 1 (84 enodes) 73.379 * * [simplify]: Extracting #0: cost 1 inf + 0 73.379 * * [simplify]: Extracting #1: cost 11 inf + 0 73.379 * * [simplify]: Extracting #2: cost 26 inf + 82 73.379 * * [simplify]: Extracting #3: cost 24 inf + 692 73.380 * * [simplify]: Extracting #4: cost 3 inf + 3057 73.381 * * [simplify]: Extracting #5: cost 0 inf + 3504 73.382 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 73.382 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 73.383 * * * * [progress]: [ 164 / 234 ] simplifiying candidate # 73.383 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 73.383 * * [simplify]: iters left: 6 (7 enodes) 73.388 * * [simplify]: iters left: 5 (31 enodes) 73.399 * * [simplify]: iters left: 4 (51 enodes) 73.415 * * [simplify]: iters left: 3 (64 enodes) 73.433 * * [simplify]: iters left: 2 (77 enodes) 73.455 * * [simplify]: iters left: 1 (84 enodes) 73.481 * * [simplify]: Extracting #0: cost 1 inf + 0 73.481 * * [simplify]: Extracting #1: cost 11 inf + 0 73.481 * * [simplify]: Extracting #2: cost 26 inf + 42 73.481 * * [simplify]: Extracting #3: cost 24 inf + 452 73.482 * * [simplify]: Extracting #4: cost 3 inf + 2337 73.483 * * [simplify]: Extracting #5: cost 0 inf + 2704 73.484 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 73.484 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 73.485 * * * * [progress]: [ 165 / 234 ] simplifiying candidate # 73.485 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 73.485 * * [simplify]: iters left: 6 (6 enodes) 73.490 * * [simplify]: iters left: 5 (29 enodes) 73.501 * * [simplify]: iters left: 4 (44 enodes) 73.514 * * [simplify]: iters left: 3 (50 enodes) 73.529 * * [simplify]: iters left: 2 (57 enodes) 73.544 * * [simplify]: Extracting #0: cost 1 inf + 0 73.545 * * [simplify]: Extracting #1: cost 9 inf + 0 73.545 * * [simplify]: Extracting #2: cost 15 inf + 3 73.545 * * [simplify]: Extracting #3: cost 11 inf + 131 73.545 * * [simplify]: Extracting #4: cost 2 inf + 711 73.546 * * [simplify]: Extracting #5: cost 0 inf + 836 73.546 * [simplify]: Simplified to (- 1/4 (/ k 4)) 73.546 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (- 1/4 (/ k 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 73.546 * * * * [progress]: [ 166 / 234 ] simplifiying candidate # 73.547 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2)) 73.547 * * [simplify]: iters left: 4 (5 enodes) 73.551 * * [simplify]: iters left: 3 (20 enodes) 73.559 * * [simplify]: iters left: 2 (27 enodes) 73.563 * * [simplify]: iters left: 1 (29 enodes) 73.567 * * [simplify]: Extracting #0: cost 1 inf + 0 73.567 * * [simplify]: Extracting #1: cost 8 inf + 0 73.567 * * [simplify]: Extracting #2: cost 4 inf + 449 73.568 * * [simplify]: Extracting #3: cost 0 inf + 895 73.568 * [simplify]: Simplified to (/ 1/2 (cbrt 2)) 73.568 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 73.568 * * * * [progress]: [ 167 / 234 ] simplifiying candidate # 73.568 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2)) 73.568 * * [simplify]: iters left: 4 (5 enodes) 73.570 * * [simplify]: iters left: 3 (20 enodes) 73.574 * * [simplify]: iters left: 2 (27 enodes) 73.578 * * [simplify]: iters left: 1 (29 enodes) 73.583 * * [simplify]: Extracting #0: cost 1 inf + 0 73.583 * * [simplify]: Extracting #1: cost 8 inf + 0 73.583 * * [simplify]: Extracting #2: cost 4 inf + 289 73.583 * * [simplify]: Extracting #3: cost 0 inf + 575 73.584 * [simplify]: Simplified to (/ 1/2 (sqrt 2)) 73.584 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 73.584 * * * * [progress]: [ 168 / 234 ] simplifiying candidate # 73.584 * [simplify]: Simplifying (/ (/ 1 2) 2) 73.584 * * [simplify]: iters left: 4 (4 enodes) 73.587 * * [simplify]: iters left: 3 (19 enodes) 73.590 * * [simplify]: iters left: 2 (23 enodes) 73.596 * * [simplify]: Extracting #0: cost 1 inf + 0 73.596 * * [simplify]: Extracting #1: cost 0 inf + 1 73.596 * [simplify]: Simplified to 1/4 73.596 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 1/4) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 73.596 * * * * [progress]: [ 169 / 234 ] simplifiying candidate # 73.597 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 73.597 * * [simplify]: iters left: 6 (6 enodes) 73.602 * * [simplify]: iters left: 5 (29 enodes) 73.612 * * [simplify]: iters left: 4 (44 enodes) 73.619 * * [simplify]: iters left: 3 (50 enodes) 73.627 * * [simplify]: iters left: 2 (57 enodes) 73.635 * * [simplify]: Extracting #0: cost 1 inf + 0 73.635 * * [simplify]: Extracting #1: cost 9 inf + 0 73.635 * * [simplify]: Extracting #2: cost 15 inf + 3 73.635 * * [simplify]: Extracting #3: cost 11 inf + 131 73.635 * * [simplify]: Extracting #4: cost 2 inf + 711 73.636 * * [simplify]: Extracting #5: cost 0 inf + 836 73.636 * [simplify]: Simplified to (- 1/4 (/ k 4)) 73.636 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/4 (/ k 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 73.637 * * * * [progress]: [ 170 / 234 ] simplifiying candidate # 73.637 * [simplify]: Simplifying (/ 1 2) 73.637 * * [simplify]: iters left: 2 (3 enodes) 73.640 * * [simplify]: iters left: 1 (12 enodes) 73.644 * * [simplify]: Extracting #0: cost 1 inf + 0 73.644 * * [simplify]: Extracting #1: cost 0 inf + 1 73.644 * [simplify]: Simplified to 1/2 73.645 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1/2) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 73.645 * * * * [progress]: [ 171 / 234 ] simplifiying candidate # 73.645 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 73.645 * * [simplify]: iters left: 6 (8 enodes) 73.651 * * [simplify]: iters left: 5 (38 enodes) 73.664 * * [simplify]: iters left: 4 (66 enodes) 73.686 * * [simplify]: iters left: 3 (110 enodes) 73.723 * * [simplify]: iters left: 2 (200 enodes) 73.806 * * [simplify]: iters left: 1 (403 enodes) 73.962 * * [simplify]: Extracting #0: cost 1 inf + 0 73.962 * * [simplify]: Extracting #1: cost 26 inf + 0 73.963 * * [simplify]: Extracting #2: cost 100 inf + 2 73.964 * * [simplify]: Extracting #3: cost 164 inf + 10 73.965 * * [simplify]: Extracting #4: cost 163 inf + 641 73.970 * * [simplify]: Extracting #5: cost 72 inf + 12998 73.981 * * [simplify]: Extracting #6: cost 25 inf + 35040 73.996 * * [simplify]: Extracting #7: cost 0 inf + 54806 74.012 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 74.012 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 74.012 * * * * [progress]: [ 172 / 234 ] simplifiying candidate # 74.012 * * * * [progress]: [ 173 / 234 ] simplifiying candidate # 74.012 * * * * [progress]: [ 174 / 234 ] simplifiying candidate # 74.012 * * * * [progress]: [ 175 / 234 ] simplifiying candidate # 74.012 * * * * [progress]: [ 176 / 234 ] simplifiying candidate # 74.012 * * * * [progress]: [ 177 / 234 ] simplifiying candidate # 74.012 * * * * [progress]: [ 178 / 234 ] simplifiying candidate # 74.013 * * * * [progress]: [ 179 / 234 ] simplifiying candidate # 74.013 * * * * [progress]: [ 180 / 234 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))> 74.013 * * * * [progress]: [ 181 / 234 ] simplifiying candidate # 74.013 * * * * [progress]: [ 182 / 234 ] simplifiying candidate # 74.013 * * * * [progress]: [ 183 / 234 ] simplifiying candidate # 74.013 * [simplify]: Simplifying (* n (* 2 PI)) 74.013 * * [simplify]: iters left: 4 (5 enodes) 74.016 * * [simplify]: iters left: 3 (19 enodes) 74.022 * * [simplify]: iters left: 2 (27 enodes) 74.026 * * [simplify]: iters left: 1 (32 enodes) 74.030 * * [simplify]: Extracting #0: cost 1 inf + 0 74.030 * * [simplify]: Extracting #1: cost 8 inf + 0 74.030 * * [simplify]: Extracting #2: cost 7 inf + 45 74.030 * * [simplify]: Extracting #3: cost 0 inf + 421 74.030 * [simplify]: Simplified to (* (* PI 2) n) 74.030 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2))))) 74.030 * * * * [progress]: [ 184 / 234 ] simplifiying candidate # 74.031 * [simplify]: Simplifying (* n (* 2 PI)) 74.031 * * [simplify]: iters left: 4 (5 enodes) 74.032 * * [simplify]: iters left: 3 (19 enodes) 74.035 * * [simplify]: iters left: 2 (27 enodes) 74.042 * * [simplify]: iters left: 1 (32 enodes) 74.046 * * [simplify]: Extracting #0: cost 1 inf + 0 74.046 * * [simplify]: Extracting #1: cost 8 inf + 0 74.046 * * [simplify]: Extracting #2: cost 7 inf + 45 74.046 * * [simplify]: Extracting #3: cost 0 inf + 421 74.046 * [simplify]: Simplified to (* (* PI 2) n) 74.046 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2))))) 74.046 * * * * [progress]: [ 185 / 234 ] simplifiying candidate # 74.046 * * * * [progress]: [ 186 / 234 ] simplifiying candidate # 74.046 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 74.046 * * [simplify]: iters left: 5 (8 enodes) 74.049 * * [simplify]: iters left: 4 (28 enodes) 74.053 * * [simplify]: iters left: 3 (36 enodes) 74.058 * * [simplify]: iters left: 2 (42 enodes) 74.064 * * [simplify]: Extracting #0: cost 1 inf + 0 74.064 * * [simplify]: Extracting #1: cost 8 inf + 0 74.064 * * [simplify]: Extracting #2: cost 17 inf + 0 74.064 * * [simplify]: Extracting #3: cost 12 inf + 145 74.064 * * [simplify]: Extracting #4: cost 5 inf + 1197 74.064 * * [simplify]: Extracting #5: cost 1 inf + 1925 74.065 * * [simplify]: Extracting #6: cost 0 inf + 2107 74.065 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 74.065 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2))))) 74.065 * * * * [progress]: [ 187 / 234 ] simplifiying candidate # 74.065 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 74.065 * * [simplify]: iters left: 5 (7 enodes) 74.067 * * [simplify]: iters left: 4 (26 enodes) 74.071 * * [simplify]: iters left: 3 (35 enodes) 74.077 * * [simplify]: iters left: 2 (44 enodes) 74.082 * * [simplify]: Extracting #0: cost 1 inf + 0 74.082 * * [simplify]: Extracting #1: cost 8 inf + 0 74.083 * * [simplify]: Extracting #2: cost 18 inf + 0 74.083 * * [simplify]: Extracting #3: cost 15 inf + 74 74.083 * * [simplify]: Extracting #4: cost 8 inf + 554 74.083 * * [simplify]: Extracting #5: cost 0 inf + 1911 74.083 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 74.083 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2))))) 74.083 * * * * [progress]: [ 188 / 234 ] simplifiying candidate # 74.083 * * * * [progress]: [ 189 / 234 ] simplifiying candidate # 74.084 * * * * [progress]: [ 190 / 234 ] simplifiying candidate # 74.084 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 74.084 * * [simplify]: iters left: 6 (11 enodes) 74.088 * * [simplify]: iters left: 5 (48 enodes) 74.097 * * [simplify]: iters left: 4 (121 enodes) 74.139 * * [simplify]: iters left: 3 (348 enodes) 74.281 * * [simplify]: Extracting #0: cost 1 inf + 0 74.281 * * [simplify]: Extracting #1: cost 67 inf + 0 74.282 * * [simplify]: Extracting #2: cost 165 inf + 786 74.285 * * [simplify]: Extracting #3: cost 85 inf + 10177 74.293 * * [simplify]: Extracting #4: cost 9 inf + 26399 74.305 * * [simplify]: Extracting #5: cost 0 inf + 28546 74.318 * * [simplify]: Extracting #6: cost 0 inf + 28506 74.330 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 74.330 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (/ (- 1 k) 2) 2))))) 74.330 * * * * [progress]: [ 191 / 234 ] simplifiying candidate # 74.331 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 74.331 * * [simplify]: iters left: 6 (9 enodes) 74.337 * * [simplify]: iters left: 5 (45 enodes) 74.354 * * [simplify]: iters left: 4 (117 enodes) 74.420 * * [simplify]: iters left: 3 (374 enodes) 74.722 * * [simplify]: Extracting #0: cost 1 inf + 0 74.723 * * [simplify]: Extracting #1: cost 77 inf + 0 74.724 * * [simplify]: Extracting #2: cost 184 inf + 984 74.731 * * [simplify]: Extracting #3: cost 106 inf + 11690 74.740 * * [simplify]: Extracting #4: cost 6 inf + 30376 74.749 * * [simplify]: Extracting #5: cost 0 inf + 31644 74.758 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 74.758 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (/ (- 1 k) 2) 2))))) 74.758 * * * * [progress]: [ 192 / 234 ] simplifiying candidate # 74.758 * * * * [progress]: [ 193 / 234 ] simplifiying candidate # 74.759 * * * * [progress]: [ 194 / 234 ] simplifiying candidate # 74.759 * * * * [progress]: [ 195 / 234 ] simplifiying candidate # 74.759 * * * * [progress]: [ 196 / 234 ] simplifiying candidate # 74.759 * * * * [progress]: [ 197 / 234 ] simplifiying candidate # 74.759 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 74.759 * * [simplify]: iters left: 3 (3 enodes) 74.761 * * [simplify]: iters left: 2 (9 enodes) 74.763 * * [simplify]: Extracting #0: cost 1 inf + 0 74.763 * * [simplify]: Extracting #1: cost 3 inf + 0 74.763 * * [simplify]: Extracting #2: cost 5 inf + 0 74.763 * * [simplify]: Extracting #3: cost 4 inf + 1 74.763 * * [simplify]: Extracting #4: cost 0 inf + 405 74.763 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 74.763 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2))))) 74.764 * * * * [progress]: [ 198 / 234 ] simplifiying candidate # 74.764 * [simplify]: Simplifying (sqrt n) 74.764 * * [simplify]: iters left: 1 (2 enodes) 74.765 * * [simplify]: Extracting #0: cost 1 inf + 0 74.765 * * [simplify]: Extracting #1: cost 3 inf + 0 74.765 * * [simplify]: Extracting #2: cost 2 inf + 1 74.765 * * [simplify]: Extracting #3: cost 0 inf + 83 74.765 * [simplify]: Simplified to (sqrt n) 74.765 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2))))) 74.765 * * * * [progress]: [ 199 / 234 ] simplifiying candidate # 74.765 * * * * [progress]: [ 200 / 234 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)))))> 74.765 * * * * [progress]: [ 201 / 234 ] simplifiying candidate # 74.765 * * * * [progress]: [ 202 / 234 ] simplifiying candidate # 74.766 * * * * [progress]: [ 203 / 234 ] simplifiying candidate # 74.766 * * * * [progress]: [ 204 / 234 ] simplifiying candidate # 74.766 * [simplify]: Simplifying (* n (* 2 PI)) 74.766 * * [simplify]: iters left: 4 (5 enodes) 74.769 * * [simplify]: iters left: 3 (19 enodes) 74.775 * * [simplify]: iters left: 2 (27 enodes) 74.779 * * [simplify]: iters left: 1 (32 enodes) 74.783 * * [simplify]: Extracting #0: cost 1 inf + 0 74.783 * * [simplify]: Extracting #1: cost 8 inf + 0 74.783 * * [simplify]: Extracting #2: cost 7 inf + 45 74.783 * * [simplify]: Extracting #3: cost 0 inf + 421 74.783 * [simplify]: Simplified to (* (* PI 2) n) 74.783 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 74.783 * * * * [progress]: [ 205 / 234 ] simplifiying candidate # 74.784 * [simplify]: Simplifying (* n (* 2 PI)) 74.784 * * [simplify]: iters left: 4 (5 enodes) 74.785 * * [simplify]: iters left: 3 (19 enodes) 74.788 * * [simplify]: iters left: 2 (27 enodes) 74.792 * * [simplify]: iters left: 1 (32 enodes) 74.796 * * [simplify]: Extracting #0: cost 1 inf + 0 74.796 * * [simplify]: Extracting #1: cost 8 inf + 0 74.796 * * [simplify]: Extracting #2: cost 7 inf + 45 74.796 * * [simplify]: Extracting #3: cost 0 inf + 421 74.796 * [simplify]: Simplified to (* (* PI 2) n) 74.797 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 74.797 * * * * [progress]: [ 206 / 234 ] simplifiying candidate # 74.797 * * * * [progress]: [ 207 / 234 ] simplifiying candidate # 74.797 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 74.797 * * [simplify]: iters left: 5 (8 enodes) 74.799 * * [simplify]: iters left: 4 (28 enodes) 74.804 * * [simplify]: iters left: 3 (36 enodes) 74.809 * * [simplify]: iters left: 2 (42 enodes) 74.817 * * [simplify]: Extracting #0: cost 1 inf + 0 74.817 * * [simplify]: Extracting #1: cost 8 inf + 0 74.817 * * [simplify]: Extracting #2: cost 17 inf + 0 74.817 * * [simplify]: Extracting #3: cost 12 inf + 145 74.817 * * [simplify]: Extracting #4: cost 5 inf + 1197 74.817 * * [simplify]: Extracting #5: cost 1 inf + 1925 74.818 * * [simplify]: Extracting #6: cost 0 inf + 2107 74.818 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 74.818 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 74.818 * * * * [progress]: [ 208 / 234 ] simplifiying candidate # 74.818 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 74.819 * * [simplify]: iters left: 5 (7 enodes) 74.823 * * [simplify]: iters left: 4 (26 enodes) 74.831 * * [simplify]: iters left: 3 (35 enodes) 74.842 * * [simplify]: iters left: 2 (44 enodes) 74.854 * * [simplify]: Extracting #0: cost 1 inf + 0 74.854 * * [simplify]: Extracting #1: cost 8 inf + 0 74.854 * * [simplify]: Extracting #2: cost 18 inf + 0 74.854 * * [simplify]: Extracting #3: cost 15 inf + 74 74.854 * * [simplify]: Extracting #4: cost 8 inf + 554 74.855 * * [simplify]: Extracting #5: cost 0 inf + 1911 74.855 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 74.855 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 74.855 * * * * [progress]: [ 209 / 234 ] simplifiying candidate # 74.856 * * * * [progress]: [ 210 / 234 ] simplifiying candidate # 74.856 * * * * [progress]: [ 211 / 234 ] simplifiying candidate # 74.856 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 74.856 * * [simplify]: iters left: 6 (11 enodes) 74.864 * * [simplify]: iters left: 5 (48 enodes) 74.874 * * [simplify]: iters left: 4 (121 enodes) 74.905 * * [simplify]: iters left: 3 (348 enodes) 75.121 * * [simplify]: Extracting #0: cost 1 inf + 0 75.121 * * [simplify]: Extracting #1: cost 67 inf + 0 75.123 * * [simplify]: Extracting #2: cost 165 inf + 786 75.128 * * [simplify]: Extracting #3: cost 85 inf + 10177 75.140 * * [simplify]: Extracting #4: cost 9 inf + 26399 75.147 * * [simplify]: Extracting #5: cost 0 inf + 28546 75.153 * * [simplify]: Extracting #6: cost 0 inf + 28506 75.162 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 75.162 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.162 * * * * [progress]: [ 212 / 234 ] simplifiying candidate # 75.163 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 75.163 * * [simplify]: iters left: 6 (9 enodes) 75.166 * * [simplify]: iters left: 5 (45 enodes) 75.178 * * [simplify]: iters left: 4 (117 enodes) 75.222 * * [simplify]: iters left: 3 (374 enodes) 75.472 * * [simplify]: Extracting #0: cost 1 inf + 0 75.472 * * [simplify]: Extracting #1: cost 77 inf + 0 75.473 * * [simplify]: Extracting #2: cost 184 inf + 984 75.476 * * [simplify]: Extracting #3: cost 106 inf + 11690 75.485 * * [simplify]: Extracting #4: cost 6 inf + 30376 75.497 * * [simplify]: Extracting #5: cost 0 inf + 31644 75.510 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 75.510 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.510 * * * * [progress]: [ 213 / 234 ] simplifiying candidate # 75.510 * * * * [progress]: [ 214 / 234 ] simplifiying candidate # 75.510 * * * * [progress]: [ 215 / 234 ] simplifiying candidate # 75.510 * * * * [progress]: [ 216 / 234 ] simplifiying candidate # 75.510 * * * * [progress]: [ 217 / 234 ] simplifiying candidate # 75.510 * * * * [progress]: [ 218 / 234 ] simplifiying candidate # 75.511 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 75.511 * * [simplify]: iters left: 3 (3 enodes) 75.512 * * [simplify]: iters left: 2 (9 enodes) 75.515 * * [simplify]: Extracting #0: cost 1 inf + 0 75.515 * * [simplify]: Extracting #1: cost 3 inf + 0 75.515 * * [simplify]: Extracting #2: cost 5 inf + 0 75.515 * * [simplify]: Extracting #3: cost 4 inf + 1 75.515 * * [simplify]: Extracting #4: cost 0 inf + 405 75.515 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 75.515 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.516 * * * * [progress]: [ 219 / 234 ] simplifiying candidate # 75.516 * [simplify]: Simplifying (sqrt n) 75.516 * * [simplify]: iters left: 1 (2 enodes) 75.517 * * [simplify]: Extracting #0: cost 1 inf + 0 75.517 * * [simplify]: Extracting #1: cost 3 inf + 0 75.517 * * [simplify]: Extracting #2: cost 2 inf + 1 75.517 * * [simplify]: Extracting #3: cost 0 inf + 83 75.517 * [simplify]: Simplified to (sqrt n) 75.517 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.517 * * * * [progress]: [ 220 / 234 ] simplifiying candidate # 75.517 * * * * [progress]: [ 221 / 234 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))> 75.517 * * * * [progress]: [ 222 / 234 ] simplifiying candidate # 75.517 * * * * [progress]: [ 223 / 234 ] simplifiying candidate # 75.518 * [simplify]: Simplifying (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 75.518 * * [simplify]: iters left: 6 (37 enodes) 75.541 * * [simplify]: iters left: 5 (193 enodes) 75.596 * * [simplify]: Extracting #0: cost 1 inf + 0 75.596 * * [simplify]: Extracting #1: cost 22 inf + 0 75.597 * * [simplify]: Extracting #2: cost 104 inf + 1 75.598 * * [simplify]: Extracting #3: cost 170 inf + 88 75.599 * * [simplify]: Extracting #4: cost 195 inf + 509 75.607 * * [simplify]: Extracting #5: cost 136 inf + 15293 75.614 * * [simplify]: Extracting #6: cost 47 inf + 48666 75.629 * * [simplify]: Extracting #7: cost 3 inf + 79281 75.654 * * [simplify]: Extracting #8: cost 0 inf + 80934 75.672 * * [simplify]: Extracting #9: cost 0 inf + 80864 75.695 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4)))))))) 75.695 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))))))))) 75.695 * * * * [progress]: [ 224 / 234 ] simplifiying candidate # 75.695 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 75.696 * * [simplify]: iters left: 6 (15 enodes) 75.701 * * [simplify]: iters left: 5 (65 enodes) 75.713 * * [simplify]: iters left: 4 (123 enodes) 75.759 * * [simplify]: iters left: 3 (366 enodes) 75.913 * * [simplify]: Extracting #0: cost 1 inf + 0 75.913 * * [simplify]: Extracting #1: cost 37 inf + 0 75.914 * * [simplify]: Extracting #2: cost 212 inf + 143 75.917 * * [simplify]: Extracting #3: cost 347 inf + 1812 75.922 * * [simplify]: Extracting #4: cost 207 inf + 31167 75.936 * * [simplify]: Extracting #5: cost 25 inf + 82567 75.957 * * [simplify]: Extracting #6: cost 0 inf + 89048 75.994 * * [simplify]: Extracting #7: cost 0 inf + 88844 76.016 * * [simplify]: Extracting #8: cost 0 inf + 88842 76.032 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))) 76.032 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n))))))) 76.032 * * * * [progress]: [ 225 / 234 ] simplifiying candidate # 76.032 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 76.032 * * [simplify]: iters left: 6 (16 enodes) 76.041 * * [simplify]: iters left: 5 (67 enodes) 76.064 * * [simplify]: iters left: 4 (134 enodes) 76.102 * * [simplify]: iters left: 3 (412 enodes) 76.327 * * [simplify]: Extracting #0: cost 1 inf + 0 76.327 * * [simplify]: Extracting #1: cost 39 inf + 0 76.328 * * [simplify]: Extracting #2: cost 241 inf + 72 76.331 * * [simplify]: Extracting #3: cost 448 inf + 1069 76.338 * * [simplify]: Extracting #4: cost 308 inf + 32324 76.361 * * [simplify]: Extracting #5: cost 42 inf + 110073 76.396 * * [simplify]: Extracting #6: cost 0 inf + 122155 76.423 * * [simplify]: Extracting #7: cost 0 inf + 121985 76.447 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 76.447 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))) 76.447 * * * * [progress]: [ 226 / 234 ] simplifiying candidate # 76.447 * [simplify]: Simplifying (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 76.448 * * [simplify]: iters left: 6 (37 enodes) 76.467 * * [simplify]: iters left: 5 (193 enodes) 76.522 * * [simplify]: Extracting #0: cost 1 inf + 0 76.522 * * [simplify]: Extracting #1: cost 22 inf + 0 76.523 * * [simplify]: Extracting #2: cost 104 inf + 1 76.524 * * [simplify]: Extracting #3: cost 170 inf + 88 76.525 * * [simplify]: Extracting #4: cost 195 inf + 509 76.530 * * [simplify]: Extracting #5: cost 136 inf + 15293 76.545 * * [simplify]: Extracting #6: cost 47 inf + 48666 76.578 * * [simplify]: Extracting #7: cost 3 inf + 79281 76.595 * * [simplify]: Extracting #8: cost 0 inf + 80934 76.626 * * [simplify]: Extracting #9: cost 0 inf + 80864 76.660 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4)))))))) 76.660 * [simplify]: Simplified (2 1) to (λ (k n) (/ (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4)))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 76.660 * * * * [progress]: [ 227 / 234 ] simplifiying candidate # 76.661 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 76.661 * * [simplify]: iters left: 6 (15 enodes) 76.670 * * [simplify]: iters left: 5 (65 enodes) 76.693 * * [simplify]: iters left: 4 (123 enodes) 76.749 * * [simplify]: iters left: 3 (366 enodes) 76.917 * * [simplify]: Extracting #0: cost 1 inf + 0 76.917 * * [simplify]: Extracting #1: cost 37 inf + 0 76.918 * * [simplify]: Extracting #2: cost 212 inf + 143 76.921 * * [simplify]: Extracting #3: cost 347 inf + 1812 76.931 * * [simplify]: Extracting #4: cost 207 inf + 31167 76.957 * * [simplify]: Extracting #5: cost 25 inf + 82567 76.989 * * [simplify]: Extracting #6: cost 0 inf + 89048 77.025 * * [simplify]: Extracting #7: cost 0 inf + 88844 77.058 * * [simplify]: Extracting #8: cost 0 inf + 88842 77.090 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))) 77.090 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 77.090 * * * * [progress]: [ 228 / 234 ] simplifiying candidate # 77.091 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 77.091 * * [simplify]: iters left: 6 (16 enodes) 77.102 * * [simplify]: iters left: 5 (67 enodes) 77.117 * * [simplify]: iters left: 4 (134 enodes) 77.163 * * [simplify]: iters left: 3 (412 enodes) 77.395 * * [simplify]: Extracting #0: cost 1 inf + 0 77.395 * * [simplify]: Extracting #1: cost 39 inf + 0 77.396 * * [simplify]: Extracting #2: cost 241 inf + 72 77.400 * * [simplify]: Extracting #3: cost 448 inf + 1069 77.410 * * [simplify]: Extracting #4: cost 308 inf + 32324 77.442 * * [simplify]: Extracting #5: cost 42 inf + 110073 77.471 * * [simplify]: Extracting #6: cost 0 inf + 122155 77.516 * * [simplify]: Extracting #7: cost 0 inf + 121985 77.561 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 77.561 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 77.562 * * * * [progress]: [ 229 / 234 ] simplifiying candidate # 77.562 * [simplify]: Simplifying (* 2 (* n PI)) 77.562 * * [simplify]: iters left: 4 (5 enodes) 77.565 * * [simplify]: iters left: 3 (19 enodes) 77.571 * * [simplify]: iters left: 2 (27 enodes) 77.582 * * [simplify]: iters left: 1 (32 enodes) 77.590 * * [simplify]: Extracting #0: cost 1 inf + 0 77.590 * * [simplify]: Extracting #1: cost 8 inf + 0 77.590 * * [simplify]: Extracting #2: cost 7 inf + 45 77.590 * * [simplify]: Extracting #3: cost 0 inf + 421 77.591 * [simplify]: Simplified to (* (* PI n) 2) 77.591 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))))) 77.591 * * * * [progress]: [ 230 / 234 ] simplifiying candidate # 77.591 * [simplify]: Simplifying (* 2 (* n PI)) 77.591 * * [simplify]: iters left: 4 (5 enodes) 77.594 * * [simplify]: iters left: 3 (19 enodes) 77.600 * * [simplify]: iters left: 2 (27 enodes) 77.608 * * [simplify]: iters left: 1 (32 enodes) 77.616 * * [simplify]: Extracting #0: cost 1 inf + 0 77.616 * * [simplify]: Extracting #1: cost 8 inf + 0 77.616 * * [simplify]: Extracting #2: cost 7 inf + 45 77.616 * * [simplify]: Extracting #3: cost 0 inf + 421 77.617 * [simplify]: Simplified to (* (* PI n) 2) 77.617 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))))) 77.617 * * * * [progress]: [ 231 / 234 ] simplifiying candidate # 77.617 * [simplify]: Simplifying (* 2 (* n PI)) 77.617 * * [simplify]: iters left: 4 (5 enodes) 77.620 * * [simplify]: iters left: 3 (19 enodes) 77.626 * * [simplify]: iters left: 2 (27 enodes) 77.635 * * [simplify]: iters left: 1 (32 enodes) 77.643 * * [simplify]: Extracting #0: cost 1 inf + 0 77.643 * * [simplify]: Extracting #1: cost 8 inf + 0 77.644 * * [simplify]: Extracting #2: cost 7 inf + 45 77.644 * * [simplify]: Extracting #3: cost 0 inf + 421 77.644 * [simplify]: Simplified to (* (* PI n) 2) 77.644 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))))) 77.644 * * * * [progress]: [ 232 / 234 ] simplifiying candidate # 77.645 * [simplify]: Simplifying (* 2 (* n PI)) 77.645 * * [simplify]: iters left: 4 (5 enodes) 77.648 * * [simplify]: iters left: 3 (19 enodes) 77.654 * * [simplify]: iters left: 2 (27 enodes) 77.660 * * [simplify]: iters left: 1 (32 enodes) 77.664 * * [simplify]: Extracting #0: cost 1 inf + 0 77.664 * * [simplify]: Extracting #1: cost 8 inf + 0 77.664 * * [simplify]: Extracting #2: cost 7 inf + 45 77.664 * * [simplify]: Extracting #3: cost 0 inf + 421 77.665 * [simplify]: Simplified to (* (* PI n) 2) 77.665 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 77.665 * * * * [progress]: [ 233 / 234 ] simplifiying candidate # 77.665 * [simplify]: Simplifying (* 2 (* n PI)) 77.665 * * [simplify]: iters left: 4 (5 enodes) 77.666 * * [simplify]: iters left: 3 (19 enodes) 77.669 * * [simplify]: iters left: 2 (27 enodes) 77.673 * * [simplify]: iters left: 1 (32 enodes) 77.677 * * [simplify]: Extracting #0: cost 1 inf + 0 77.677 * * [simplify]: Extracting #1: cost 8 inf + 0 77.677 * * [simplify]: Extracting #2: cost 7 inf + 45 77.677 * * [simplify]: Extracting #3: cost 0 inf + 421 77.677 * [simplify]: Simplified to (* (* PI n) 2) 77.677 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 77.677 * * * * [progress]: [ 234 / 234 ] simplifiying candidate # 77.678 * [simplify]: Simplifying (* 2 (* n PI)) 77.678 * * [simplify]: iters left: 4 (5 enodes) 77.679 * * [simplify]: iters left: 3 (19 enodes) 77.682 * * [simplify]: iters left: 2 (27 enodes) 77.686 * * [simplify]: iters left: 1 (32 enodes) 77.694 * * [simplify]: Extracting #0: cost 1 inf + 0 77.694 * * [simplify]: Extracting #1: cost 8 inf + 0 77.694 * * [simplify]: Extracting #2: cost 7 inf + 45 77.694 * * [simplify]: Extracting #3: cost 0 inf + 421 77.694 * [simplify]: Simplified to (* (* PI n) 2) 77.694 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 77.695 * * * [progress]: adding candidates to table 80.771 * [progress]: [Phase 3 of 3] Extracting. 80.771 * * [regime]: Finding splitpoints for: (# # # # # # # #) 80.773 * * * [regime-changes]: Trying 2 branch expressions: (n k) 80.773 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 80.855 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 80.926 * * * [regime]: Found split indices: #