0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.284 * * * [progress]: [2/2] Setting up program. 0.290 * [progress]: [Phase 2 of 3] Improving. 0.290 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.290 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 0.291 * * [simplify]: iters left: 6 (13 enodes) 0.298 * * [simplify]: iters left: 5 (57 enodes) 0.318 * * [simplify]: iters left: 4 (96 enodes) 0.342 * * [simplify]: iters left: 3 (172 enodes) 0.409 * * [simplify]: iters left: 2 (338 enodes) 0.527 * * [simplify]: Extracting #0: cost 1 inf + 0 0.527 * * [simplify]: Extracting #1: cost 41 inf + 0 0.527 * * [simplify]: Extracting #2: cost 120 inf + 1 0.528 * * [simplify]: Extracting #3: cost 166 inf + 127 0.529 * * [simplify]: Extracting #4: cost 166 inf + 467 0.532 * * [simplify]: Extracting #5: cost 119 inf + 9856 0.544 * * [simplify]: Extracting #6: cost 46 inf + 40838 0.566 * * [simplify]: Extracting #7: cost 4 inf + 73302 0.595 * * [simplify]: Extracting #8: cost 0 inf + 76897 0.619 * [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))) 0.633 * * [progress]: iteration 1 / 4 0.633 * * * [progress]: picking best candidate 0.644 * * * * [pick]: Picked # 0.644 * * * [progress]: localizing error 0.674 * * * [progress]: generating rewritten candidates 0.674 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.687 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.711 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.724 * * * [progress]: generating series expansions 0.724 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.724 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 0.724 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.725 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.725 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.725 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.725 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.725 * [taylor]: Taking taylor expansion of 1/2 in k 0.725 * [backup-simplify]: Simplify 1/2 into 1/2 0.725 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.725 * [taylor]: Taking taylor expansion of 1 in k 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [taylor]: Taking taylor expansion of k in k 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.725 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.725 * [taylor]: Taking taylor expansion of 2 in k 0.725 * [backup-simplify]: Simplify 2 into 2 0.725 * [taylor]: Taking taylor expansion of (* n PI) in k 0.725 * [taylor]: Taking taylor expansion of n in k 0.725 * [backup-simplify]: Simplify n into n 0.725 * [taylor]: Taking taylor expansion of PI in k 0.725 * [backup-simplify]: Simplify PI into PI 0.725 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.725 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.725 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.725 * [backup-simplify]: Simplify (- 0) into 0 0.726 * [backup-simplify]: Simplify (+ 1 0) into 1 0.726 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.726 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.726 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.726 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.726 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.726 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.726 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.726 * [taylor]: Taking taylor expansion of 1/2 in n 0.726 * [backup-simplify]: Simplify 1/2 into 1/2 0.726 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.726 * [taylor]: Taking taylor expansion of 1 in n 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [taylor]: Taking taylor expansion of k in n 0.726 * [backup-simplify]: Simplify k into k 0.726 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.726 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.726 * [taylor]: Taking taylor expansion of 2 in n 0.726 * [backup-simplify]: Simplify 2 into 2 0.726 * [taylor]: Taking taylor expansion of (* n PI) in n 0.726 * [taylor]: Taking taylor expansion of n in n 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [taylor]: Taking taylor expansion of PI in n 0.726 * [backup-simplify]: Simplify PI into PI 0.727 * [backup-simplify]: Simplify (* 0 PI) into 0 0.727 * [backup-simplify]: Simplify (* 2 0) into 0 0.728 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.729 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.730 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.730 * [backup-simplify]: Simplify (- k) into (- k) 0.730 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.730 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.731 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.731 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.732 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.732 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.732 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.732 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.732 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.732 * [taylor]: Taking taylor expansion of 1/2 in n 0.732 * [backup-simplify]: Simplify 1/2 into 1/2 0.732 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.732 * [taylor]: Taking taylor expansion of 1 in n 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [taylor]: Taking taylor expansion of k in n 0.732 * [backup-simplify]: Simplify k into k 0.732 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.732 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.732 * [taylor]: Taking taylor expansion of 2 in n 0.732 * [backup-simplify]: Simplify 2 into 2 0.732 * [taylor]: Taking taylor expansion of (* n PI) in n 0.732 * [taylor]: Taking taylor expansion of n in n 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [taylor]: Taking taylor expansion of PI in n 0.732 * [backup-simplify]: Simplify PI into PI 0.733 * [backup-simplify]: Simplify (* 0 PI) into 0 0.733 * [backup-simplify]: Simplify (* 2 0) into 0 0.734 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.736 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.737 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.737 * [backup-simplify]: Simplify (- k) into (- k) 0.737 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.737 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.738 * [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 0.741 * [backup-simplify]: Simplify 1/2 into 1/2 0.741 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.741 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.741 * [taylor]: Taking taylor expansion of 1 in k 0.741 * [backup-simplify]: Simplify 1 into 1 0.741 * [taylor]: Taking taylor expansion of k in k 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 1 into 1 0.741 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.741 * [taylor]: Taking taylor expansion of (log n) in k 0.741 * [taylor]: Taking taylor expansion of n in k 0.741 * [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) 0.742 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.743 * [backup-simplify]: Simplify (- 0) into 0 0.743 * [backup-simplify]: Simplify (+ 1 0) into 1 0.744 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.745 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.746 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.747 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.748 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.749 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.749 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.750 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.751 * [backup-simplify]: Simplify (- 0) into 0 0.751 * [backup-simplify]: Simplify (+ 0 0) into 0 0.751 * [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 0.754 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.754 * [taylor]: Taking taylor expansion of 0 in k 0.754 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.755 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.756 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.756 * [backup-simplify]: Simplify (+ 0 0) into 0 0.756 * [backup-simplify]: Simplify (- 1) into -1 0.757 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.757 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.759 * [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))))) 0.760 * [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))))))) 0.762 * [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))))))) 0.763 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.764 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.765 * [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 0.766 * [backup-simplify]: Simplify (- 0) into 0 0.766 * [backup-simplify]: Simplify (+ 0 0) into 0 0.767 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.767 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.768 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.770 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.770 * [taylor]: Taking taylor expansion of 0 in k 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.771 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.773 * [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 0.773 * [backup-simplify]: Simplify (+ 0 0) into 0 0.774 * [backup-simplify]: Simplify (- 0) into 0 0.774 * [backup-simplify]: Simplify (+ 0 0) into 0 0.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.780 * [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))))) 0.785 * [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))))) 0.797 * [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))))) 0.797 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 0.797 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.797 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.797 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.797 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.797 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.797 * [taylor]: Taking taylor expansion of 1/2 in k 0.797 * [backup-simplify]: Simplify 1/2 into 1/2 0.797 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.797 * [taylor]: Taking taylor expansion of 1 in k 0.798 * [backup-simplify]: Simplify 1 into 1 0.798 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.798 * [taylor]: Taking taylor expansion of k in k 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.798 * [backup-simplify]: Simplify (/ 1 1) into 1 0.798 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.798 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.798 * [taylor]: Taking taylor expansion of 2 in k 0.798 * [backup-simplify]: Simplify 2 into 2 0.798 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.798 * [taylor]: Taking taylor expansion of PI in k 0.798 * [backup-simplify]: Simplify PI into PI 0.798 * [taylor]: Taking taylor expansion of n in k 0.798 * [backup-simplify]: Simplify n into n 0.798 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.798 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 0.798 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 0.798 * [backup-simplify]: Simplify (- 1) into -1 0.799 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.799 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 0.799 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 0.799 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0.799 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.799 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.799 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.799 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.799 * [taylor]: Taking taylor expansion of 1/2 in n 0.799 * [backup-simplify]: Simplify 1/2 into 1/2 0.799 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.799 * [taylor]: Taking taylor expansion of 1 in n 0.799 * [backup-simplify]: Simplify 1 into 1 0.799 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.799 * [taylor]: Taking taylor expansion of k in n 0.799 * [backup-simplify]: Simplify k into k 0.799 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.799 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.799 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.800 * [taylor]: Taking taylor expansion of 2 in n 0.800 * [backup-simplify]: Simplify 2 into 2 0.800 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.800 * [taylor]: Taking taylor expansion of PI in n 0.800 * [backup-simplify]: Simplify PI into PI 0.800 * [taylor]: Taking taylor expansion of n in n 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.800 * [backup-simplify]: Simplify (/ PI 1) into PI 0.800 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.801 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.801 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.801 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.801 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.802 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.803 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.803 * [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))))) 0.803 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.803 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.803 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.803 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.803 * [taylor]: Taking taylor expansion of 1/2 in n 0.803 * [backup-simplify]: Simplify 1/2 into 1/2 0.803 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.803 * [taylor]: Taking taylor expansion of 1 in n 0.803 * [backup-simplify]: Simplify 1 into 1 0.803 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.803 * [taylor]: Taking taylor expansion of k in n 0.803 * [backup-simplify]: Simplify k into k 0.804 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.804 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.804 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.804 * [taylor]: Taking taylor expansion of 2 in n 0.804 * [backup-simplify]: Simplify 2 into 2 0.804 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.804 * [taylor]: Taking taylor expansion of PI in n 0.804 * [backup-simplify]: Simplify PI into PI 0.804 * [taylor]: Taking taylor expansion of n in n 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify 1 into 1 0.804 * [backup-simplify]: Simplify (/ PI 1) into PI 0.804 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.805 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.805 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.805 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.805 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.806 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.807 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.807 * [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))))) 0.807 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.807 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.807 * [taylor]: Taking taylor expansion of 1/2 in k 0.807 * [backup-simplify]: Simplify 1/2 into 1/2 0.807 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.807 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.807 * [taylor]: Taking taylor expansion of 1 in k 0.807 * [backup-simplify]: Simplify 1 into 1 0.807 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.807 * [taylor]: Taking taylor expansion of k in k 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify 1 into 1 0.808 * [backup-simplify]: Simplify (/ 1 1) into 1 0.808 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.808 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.808 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.808 * [taylor]: Taking taylor expansion of 2 in k 0.808 * [backup-simplify]: Simplify 2 into 2 0.808 * [taylor]: Taking taylor expansion of PI in k 0.808 * [backup-simplify]: Simplify PI into PI 0.808 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.809 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.809 * [taylor]: Taking taylor expansion of (log n) in k 0.809 * [taylor]: Taking taylor expansion of n in k 0.809 * [backup-simplify]: Simplify n into n 0.809 * [backup-simplify]: Simplify (log n) into (log n) 0.809 * [backup-simplify]: Simplify (- 1) into -1 0.809 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.809 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.810 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 0.811 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 0.811 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 0.812 * [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))))) 0.813 * [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))))) 0.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.814 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.815 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.815 * [backup-simplify]: Simplify (- 0) into 0 0.816 * [backup-simplify]: Simplify (+ 0 0) into 0 0.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 0.817 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.817 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 0.818 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.819 * [taylor]: Taking taylor expansion of 0 in k 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.820 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.822 * [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 0.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.822 * [backup-simplify]: Simplify (- 0) into 0 0.822 * [backup-simplify]: Simplify (+ 0 0) into 0 0.823 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 0.824 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.825 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 0.827 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.827 * [taylor]: Taking taylor expansion of 0 in k 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.829 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.834 * [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 0.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.835 * [backup-simplify]: Simplify (- 0) into 0 0.835 * [backup-simplify]: Simplify (+ 0 0) into 0 0.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 0.836 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.838 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 0.839 * [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 0.839 * [taylor]: Taking taylor expansion of 0 in k 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify 0 into 0 0.840 * [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)))))) 0.840 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 0.840 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.840 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.840 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.840 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.840 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.840 * [taylor]: Taking taylor expansion of 1/2 in k 0.840 * [backup-simplify]: Simplify 1/2 into 1/2 0.840 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.841 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.841 * [taylor]: Taking taylor expansion of k in k 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify 1 into 1 0.841 * [backup-simplify]: Simplify (/ 1 1) into 1 0.841 * [taylor]: Taking taylor expansion of 1 in k 0.841 * [backup-simplify]: Simplify 1 into 1 0.841 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.841 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.841 * [taylor]: Taking taylor expansion of -2 in k 0.841 * [backup-simplify]: Simplify -2 into -2 0.841 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.841 * [taylor]: Taking taylor expansion of PI in k 0.841 * [backup-simplify]: Simplify PI into PI 0.841 * [taylor]: Taking taylor expansion of n in k 0.841 * [backup-simplify]: Simplify n into n 0.841 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.841 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 0.841 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 0.841 * [backup-simplify]: Simplify (+ 1 0) into 1 0.842 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.842 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 0.842 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 0.842 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.842 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.842 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.842 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.842 * [taylor]: Taking taylor expansion of 1/2 in n 0.842 * [backup-simplify]: Simplify 1/2 into 1/2 0.842 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.842 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.842 * [taylor]: Taking taylor expansion of k in n 0.842 * [backup-simplify]: Simplify k into k 0.842 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.842 * [taylor]: Taking taylor expansion of 1 in n 0.842 * [backup-simplify]: Simplify 1 into 1 0.842 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.842 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.842 * [taylor]: Taking taylor expansion of -2 in n 0.842 * [backup-simplify]: Simplify -2 into -2 0.842 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.842 * [taylor]: Taking taylor expansion of PI in n 0.842 * [backup-simplify]: Simplify PI into PI 0.842 * [taylor]: Taking taylor expansion of n in n 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.843 * [backup-simplify]: Simplify (/ PI 1) into PI 0.843 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.843 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.843 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.844 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.844 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.845 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.846 * [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))))) 0.846 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.846 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.846 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.846 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.846 * [taylor]: Taking taylor expansion of 1/2 in n 0.846 * [backup-simplify]: Simplify 1/2 into 1/2 0.846 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.846 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.846 * [taylor]: Taking taylor expansion of k in n 0.846 * [backup-simplify]: Simplify k into k 0.846 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.846 * [taylor]: Taking taylor expansion of 1 in n 0.846 * [backup-simplify]: Simplify 1 into 1 0.846 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.846 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.846 * [taylor]: Taking taylor expansion of -2 in n 0.846 * [backup-simplify]: Simplify -2 into -2 0.846 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.846 * [taylor]: Taking taylor expansion of PI in n 0.846 * [backup-simplify]: Simplify PI into PI 0.846 * [taylor]: Taking taylor expansion of n in n 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.846 * [backup-simplify]: Simplify (/ PI 1) into PI 0.847 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.847 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.847 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.847 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.848 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.849 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.850 * [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))))) 0.850 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.850 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.850 * [taylor]: Taking taylor expansion of 1/2 in k 0.850 * [backup-simplify]: Simplify 1/2 into 1/2 0.850 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.850 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.850 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.850 * [taylor]: Taking taylor expansion of k in k 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 1 into 1 0.850 * [backup-simplify]: Simplify (/ 1 1) into 1 0.850 * [taylor]: Taking taylor expansion of 1 in k 0.850 * [backup-simplify]: Simplify 1 into 1 0.850 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.850 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.850 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.850 * [taylor]: Taking taylor expansion of -2 in k 0.850 * [backup-simplify]: Simplify -2 into -2 0.851 * [taylor]: Taking taylor expansion of PI in k 0.851 * [backup-simplify]: Simplify PI into PI 0.851 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.851 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.851 * [taylor]: Taking taylor expansion of (log n) in k 0.851 * [taylor]: Taking taylor expansion of n in k 0.851 * [backup-simplify]: Simplify n into n 0.851 * [backup-simplify]: Simplify (log n) into (log n) 0.852 * [backup-simplify]: Simplify (+ 1 0) into 1 0.852 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.852 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 0.853 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 0.854 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 0.854 * [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))))) 0.855 * [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))))) 0.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.857 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 0.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.857 * [backup-simplify]: Simplify (+ 0 0) into 0 0.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 0.859 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.859 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 0.860 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.860 * [taylor]: Taking taylor expansion of 0 in k 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.862 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.866 * [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 0.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.867 * [backup-simplify]: Simplify (+ 0 0) into 0 0.868 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 0.869 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.871 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 0.873 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.873 * [taylor]: Taking taylor expansion of 0 in k 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.876 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.882 * [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 0.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.882 * [backup-simplify]: Simplify (+ 0 0) into 0 0.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 0.884 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.885 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 0.887 * [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 0.887 * [taylor]: Taking taylor expansion of 0 in k 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [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)))))) 0.887 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.888 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 0.888 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.888 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.888 * [taylor]: Taking taylor expansion of 2 in n 0.888 * [backup-simplify]: Simplify 2 into 2 0.888 * [taylor]: Taking taylor expansion of (* n PI) in n 0.888 * [taylor]: Taking taylor expansion of n in n 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 1 into 1 0.888 * [taylor]: Taking taylor expansion of PI in n 0.888 * [backup-simplify]: Simplify PI into PI 0.888 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.888 * [taylor]: Taking taylor expansion of 2 in n 0.888 * [backup-simplify]: Simplify 2 into 2 0.888 * [taylor]: Taking taylor expansion of (* n PI) in n 0.888 * [taylor]: Taking taylor expansion of n in n 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 1 into 1 0.888 * [taylor]: Taking taylor expansion of PI in n 0.888 * [backup-simplify]: Simplify PI into PI 0.888 * [backup-simplify]: Simplify (* 0 PI) into 0 0.889 * [backup-simplify]: Simplify (* 2 0) into 0 0.889 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.892 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.893 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.894 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.894 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.895 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.895 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.897 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.897 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.899 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.899 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.901 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.901 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.903 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 0.904 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 0.904 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.904 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.904 * [taylor]: Taking taylor expansion of 2 in n 0.904 * [backup-simplify]: Simplify 2 into 2 0.904 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.904 * [taylor]: Taking taylor expansion of PI in n 0.904 * [backup-simplify]: Simplify PI into PI 0.904 * [taylor]: Taking taylor expansion of n in n 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify (/ PI 1) into PI 0.904 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.904 * [taylor]: Taking taylor expansion of 2 in n 0.904 * [backup-simplify]: Simplify 2 into 2 0.904 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.904 * [taylor]: Taking taylor expansion of PI in n 0.904 * [backup-simplify]: Simplify PI into PI 0.904 * [taylor]: Taking taylor expansion of n in n 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.905 * [backup-simplify]: Simplify (/ PI 1) into PI 0.905 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.905 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.906 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.907 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.909 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.909 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.911 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.914 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.914 * [backup-simplify]: Simplify 0 into 0 0.915 * [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 0.917 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.917 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 0.918 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 0.918 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.919 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.919 * [taylor]: Taking taylor expansion of -2 in n 0.919 * [backup-simplify]: Simplify -2 into -2 0.919 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.919 * [taylor]: Taking taylor expansion of PI in n 0.919 * [backup-simplify]: Simplify PI into PI 0.919 * [taylor]: Taking taylor expansion of n in n 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 1 into 1 0.919 * [backup-simplify]: Simplify (/ PI 1) into PI 0.919 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.919 * [taylor]: Taking taylor expansion of -2 in n 0.919 * [backup-simplify]: Simplify -2 into -2 0.919 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.919 * [taylor]: Taking taylor expansion of PI in n 0.919 * [backup-simplify]: Simplify PI into PI 0.919 * [taylor]: Taking taylor expansion of n in n 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 1 into 1 0.920 * [backup-simplify]: Simplify (/ PI 1) into PI 0.920 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.921 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.923 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.923 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.925 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.925 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.930 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.930 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.932 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.932 * [backup-simplify]: Simplify 0 into 0 0.934 * [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 0.935 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 0.936 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.937 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 0.937 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 0.937 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.937 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.937 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.937 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.937 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.937 * [taylor]: Taking taylor expansion of 1/2 in k 0.937 * [backup-simplify]: Simplify 1/2 into 1/2 0.937 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.937 * [taylor]: Taking taylor expansion of 1 in k 0.937 * [backup-simplify]: Simplify 1 into 1 0.937 * [taylor]: Taking taylor expansion of k in k 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify 1 into 1 0.937 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.937 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.938 * [taylor]: Taking taylor expansion of 2 in k 0.938 * [backup-simplify]: Simplify 2 into 2 0.938 * [taylor]: Taking taylor expansion of (* n PI) in k 0.938 * [taylor]: Taking taylor expansion of n in k 0.938 * [backup-simplify]: Simplify n into n 0.938 * [taylor]: Taking taylor expansion of PI in k 0.938 * [backup-simplify]: Simplify PI into PI 0.938 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.938 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.938 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.938 * [backup-simplify]: Simplify (- 0) into 0 0.939 * [backup-simplify]: Simplify (+ 1 0) into 1 0.939 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.940 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.940 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.940 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.940 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.940 * [taylor]: Taking taylor expansion of k in k 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 1 into 1 0.940 * [backup-simplify]: Simplify (/ 1 1) into 1 0.941 * [backup-simplify]: Simplify (sqrt 0) into 0 0.942 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.942 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.942 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.942 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.943 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.943 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.943 * [taylor]: Taking taylor expansion of 1/2 in n 0.943 * [backup-simplify]: Simplify 1/2 into 1/2 0.943 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.943 * [taylor]: Taking taylor expansion of 1 in n 0.943 * [backup-simplify]: Simplify 1 into 1 0.943 * [taylor]: Taking taylor expansion of k in n 0.943 * [backup-simplify]: Simplify k into k 0.943 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.943 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.943 * [taylor]: Taking taylor expansion of 2 in n 0.943 * [backup-simplify]: Simplify 2 into 2 0.943 * [taylor]: Taking taylor expansion of (* n PI) in n 0.943 * [taylor]: Taking taylor expansion of n in n 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 1 into 1 0.943 * [taylor]: Taking taylor expansion of PI in n 0.943 * [backup-simplify]: Simplify PI into PI 0.943 * [backup-simplify]: Simplify (* 0 PI) into 0 0.944 * [backup-simplify]: Simplify (* 2 0) into 0 0.945 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.947 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.948 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.948 * [backup-simplify]: Simplify (- k) into (- k) 0.948 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.948 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.949 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.950 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.951 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.951 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.951 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.951 * [taylor]: Taking taylor expansion of k in n 0.951 * [backup-simplify]: Simplify k into k 0.951 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.951 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.952 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.952 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.952 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.952 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.952 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.952 * [taylor]: Taking taylor expansion of 1/2 in n 0.952 * [backup-simplify]: Simplify 1/2 into 1/2 0.952 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.952 * [taylor]: Taking taylor expansion of 1 in n 0.952 * [backup-simplify]: Simplify 1 into 1 0.952 * [taylor]: Taking taylor expansion of k in n 0.952 * [backup-simplify]: Simplify k into k 0.952 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.952 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.952 * [taylor]: Taking taylor expansion of 2 in n 0.952 * [backup-simplify]: Simplify 2 into 2 0.952 * [taylor]: Taking taylor expansion of (* n PI) in n 0.952 * [taylor]: Taking taylor expansion of n in n 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify 1 into 1 0.952 * [taylor]: Taking taylor expansion of PI in n 0.952 * [backup-simplify]: Simplify PI into PI 0.953 * [backup-simplify]: Simplify (* 0 PI) into 0 0.953 * [backup-simplify]: Simplify (* 2 0) into 0 0.955 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.956 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.957 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.957 * [backup-simplify]: Simplify (- k) into (- k) 0.957 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.957 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.959 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.960 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.961 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.961 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.961 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.961 * [taylor]: Taking taylor expansion of k in n 0.961 * [backup-simplify]: Simplify k into k 0.961 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.961 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.962 * [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))) 0.963 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 0.963 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.963 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.963 * [taylor]: Taking taylor expansion of 1/2 in k 0.963 * [backup-simplify]: Simplify 1/2 into 1/2 0.963 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.963 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.963 * [taylor]: Taking taylor expansion of 1 in k 0.963 * [backup-simplify]: Simplify 1 into 1 0.963 * [taylor]: Taking taylor expansion of k in k 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 1 into 1 0.963 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.963 * [taylor]: Taking taylor expansion of (log n) in k 0.963 * [taylor]: Taking taylor expansion of n in k 0.963 * [backup-simplify]: Simplify n into n 0.963 * [backup-simplify]: Simplify (log n) into (log n) 0.963 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.963 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.963 * [taylor]: Taking taylor expansion of 2 in k 0.963 * [backup-simplify]: Simplify 2 into 2 0.963 * [taylor]: Taking taylor expansion of PI in k 0.963 * [backup-simplify]: Simplify PI into PI 0.964 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.965 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.965 * [backup-simplify]: Simplify (- 0) into 0 0.965 * [backup-simplify]: Simplify (+ 1 0) into 1 0.966 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.967 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.968 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.969 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.969 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.969 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.969 * [taylor]: Taking taylor expansion of k in k 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 1 into 1 0.970 * [backup-simplify]: Simplify (/ 1 1) into 1 0.970 * [backup-simplify]: Simplify (sqrt 0) into 0 0.972 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.973 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 0.973 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.975 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.977 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.977 * [backup-simplify]: Simplify (- 0) into 0 0.978 * [backup-simplify]: Simplify (+ 0 0) into 0 0.978 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.979 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.981 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.982 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.984 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 0.984 * [taylor]: Taking taylor expansion of 0 in k 0.984 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.985 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.987 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.987 * [backup-simplify]: Simplify (+ 0 0) into 0 0.988 * [backup-simplify]: Simplify (- 1) into -1 0.988 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.989 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.992 * [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))))) 0.995 * [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))))))) 0.999 * [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))))))) 1.000 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.001 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1.002 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.003 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.007 * [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 1.007 * [backup-simplify]: Simplify (- 0) into 0 1.008 * [backup-simplify]: Simplify (+ 0 0) into 0 1.009 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 1.010 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.011 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.014 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.016 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1.016 * [taylor]: Taking taylor expansion of 0 in k 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.020 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.022 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.023 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.028 * [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 1.029 * [backup-simplify]: Simplify (+ 0 0) into 0 1.030 * [backup-simplify]: Simplify (- 0) into 0 1.030 * [backup-simplify]: Simplify (+ 0 0) into 0 1.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.034 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.038 * [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))))) 1.047 * [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)))))))) 1.051 * [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)))))))) 1.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.052 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.055 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.061 * [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 1.062 * [backup-simplify]: Simplify (- 0) into 0 1.062 * [backup-simplify]: Simplify (+ 0 0) into 0 1.063 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 1.065 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.067 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.070 * [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 1.072 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1.072 * [taylor]: Taking taylor expansion of 0 in k 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.077 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.079 * [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 1.081 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.087 * [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 1.087 * [backup-simplify]: Simplify (+ 0 0) into 0 1.088 * [backup-simplify]: Simplify (- 0) into 0 1.088 * [backup-simplify]: Simplify (+ 0 0) into 0 1.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.099 * [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))))))) 1.115 * [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)))))))))))))) 1.126 * [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)))))))))))))) 1.139 * [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)))))))))))))))))))))) 1.140 * [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)) 1.140 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 1.140 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.140 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.140 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.140 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.140 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.140 * [taylor]: Taking taylor expansion of 1/2 in k 1.140 * [backup-simplify]: Simplify 1/2 into 1/2 1.140 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.140 * [taylor]: Taking taylor expansion of 1 in k 1.140 * [backup-simplify]: Simplify 1 into 1 1.140 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.140 * [taylor]: Taking taylor expansion of k in k 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify 1 into 1 1.141 * [backup-simplify]: Simplify (/ 1 1) into 1 1.141 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.141 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.141 * [taylor]: Taking taylor expansion of 2 in k 1.141 * [backup-simplify]: Simplify 2 into 2 1.141 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.141 * [taylor]: Taking taylor expansion of PI in k 1.141 * [backup-simplify]: Simplify PI into PI 1.141 * [taylor]: Taking taylor expansion of n in k 1.141 * [backup-simplify]: Simplify n into n 1.141 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.141 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.141 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.141 * [backup-simplify]: Simplify (- 1) into -1 1.141 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.142 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.142 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.142 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.142 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.142 * [taylor]: Taking taylor expansion of k in k 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify 1 into 1 1.142 * [backup-simplify]: Simplify (sqrt 0) into 0 1.143 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.143 * [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 1.144 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.144 * [taylor]: Taking taylor expansion of PI in n 1.144 * [backup-simplify]: Simplify PI into PI 1.144 * [taylor]: Taking taylor expansion of n in n 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [backup-simplify]: Simplify 1 into 1 1.144 * [backup-simplify]: Simplify (/ PI 1) into PI 1.145 * [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)) 1.146 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.146 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.147 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.148 * [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))))) 1.148 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.148 * [taylor]: Taking taylor expansion of k in n 1.148 * [backup-simplify]: Simplify k into k 1.148 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.148 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.148 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.148 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.148 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.148 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.148 * [taylor]: Taking taylor expansion of 1/2 in n 1.148 * [backup-simplify]: Simplify 1/2 into 1/2 1.148 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.148 * [taylor]: Taking taylor expansion of 1 in n 1.148 * [backup-simplify]: Simplify 1 into 1 1.148 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.148 * [taylor]: Taking taylor expansion of k in n 1.148 * [backup-simplify]: Simplify k into k 1.148 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.148 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.148 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.148 * [taylor]: Taking taylor expansion of 2 in n 1.148 * [backup-simplify]: Simplify 2 into 2 1.148 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.148 * [taylor]: Taking taylor expansion of PI in n 1.148 * [backup-simplify]: Simplify PI into PI 1.148 * [taylor]: Taking taylor expansion of n in n 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 1 into 1 1.149 * [backup-simplify]: Simplify (/ PI 1) into PI 1.149 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.149 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.149 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.150 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.150 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.150 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.153 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.154 * [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))))) 1.154 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.154 * [taylor]: Taking taylor expansion of k in n 1.154 * [backup-simplify]: Simplify k into k 1.154 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.155 * [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)) 1.155 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 1.155 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1.155 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1.155 * [taylor]: Taking taylor expansion of 1/2 in k 1.155 * [backup-simplify]: Simplify 1/2 into 1/2 1.155 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1.155 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.155 * [taylor]: Taking taylor expansion of 1 in k 1.155 * [backup-simplify]: Simplify 1 into 1 1.155 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.155 * [taylor]: Taking taylor expansion of k in k 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 1 into 1 1.155 * [backup-simplify]: Simplify (/ 1 1) into 1 1.155 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.155 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.155 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.155 * [taylor]: Taking taylor expansion of 2 in k 1.155 * [backup-simplify]: Simplify 2 into 2 1.155 * [taylor]: Taking taylor expansion of PI in k 1.155 * [backup-simplify]: Simplify PI into PI 1.156 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.156 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.156 * [taylor]: Taking taylor expansion of (log n) in k 1.156 * [taylor]: Taking taylor expansion of n in k 1.156 * [backup-simplify]: Simplify n into n 1.156 * [backup-simplify]: Simplify (log n) into (log n) 1.157 * [backup-simplify]: Simplify (- 1) into -1 1.157 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.157 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.157 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1.158 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1.159 * [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 1.160 * [backup-simplify]: Simplify (sqrt 0) into 0 1.161 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.162 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 1.162 * [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 1.173 * [taylor]: Taking taylor expansion of 0 in k 1.173 * [backup-simplify]: Simplify 0 into 0 1.173 * [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 1.179 * [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 1.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.180 * [backup-simplify]: Simplify (- 0) into 0 1.180 * [backup-simplify]: Simplify (+ 0 0) into 0 1.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1.181 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.182 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1.184 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.185 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1.185 * [taylor]: Taking taylor expansion of 0 in k 1.185 * [backup-simplify]: Simplify 0 into 0 1.185 * [backup-simplify]: Simplify 0 into 0 1.185 * [backup-simplify]: Simplify 0 into 0 1.187 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.188 * [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))))))) 1.189 * [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))))))) 1.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.190 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.193 * [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 1.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.194 * [backup-simplify]: Simplify (- 0) into 0 1.194 * [backup-simplify]: Simplify (+ 0 0) into 0 1.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1.196 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.197 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1.199 * [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 1.200 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1.200 * [taylor]: Taking taylor expansion of 0 in k 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.203 * [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))))))) 1.204 * [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))))))) 1.208 * [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)))))))) 1.209 * [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))) 1.209 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 1.209 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.209 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.209 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.209 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.209 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.209 * [taylor]: Taking taylor expansion of 1/2 in k 1.209 * [backup-simplify]: Simplify 1/2 into 1/2 1.209 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.209 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.209 * [taylor]: Taking taylor expansion of k in k 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify 1 into 1 1.209 * [backup-simplify]: Simplify (/ 1 1) into 1 1.209 * [taylor]: Taking taylor expansion of 1 in k 1.209 * [backup-simplify]: Simplify 1 into 1 1.209 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.209 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.209 * [taylor]: Taking taylor expansion of -2 in k 1.209 * [backup-simplify]: Simplify -2 into -2 1.210 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.210 * [taylor]: Taking taylor expansion of PI in k 1.210 * [backup-simplify]: Simplify PI into PI 1.210 * [taylor]: Taking taylor expansion of n in k 1.210 * [backup-simplify]: Simplify n into n 1.210 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.210 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.210 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.210 * [backup-simplify]: Simplify (+ 1 0) into 1 1.211 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.211 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.211 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.211 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.211 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.211 * [taylor]: Taking taylor expansion of -1 in k 1.211 * [backup-simplify]: Simplify -1 into -1 1.211 * [taylor]: Taking taylor expansion of k in k 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify 1 into 1 1.212 * [backup-simplify]: Simplify (/ -1 1) into -1 1.212 * [backup-simplify]: Simplify (sqrt 0) into 0 1.213 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.214 * [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))))) 1.214 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.214 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.214 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.214 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.214 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.214 * [taylor]: Taking taylor expansion of 1/2 in n 1.214 * [backup-simplify]: Simplify 1/2 into 1/2 1.214 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.214 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.214 * [taylor]: Taking taylor expansion of k in n 1.214 * [backup-simplify]: Simplify k into k 1.214 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.214 * [taylor]: Taking taylor expansion of 1 in n 1.214 * [backup-simplify]: Simplify 1 into 1 1.214 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.214 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.214 * [taylor]: Taking taylor expansion of -2 in n 1.214 * [backup-simplify]: Simplify -2 into -2 1.214 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.214 * [taylor]: Taking taylor expansion of PI in n 1.214 * [backup-simplify]: Simplify PI into PI 1.214 * [taylor]: Taking taylor expansion of n in n 1.214 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify 1 into 1 1.215 * [backup-simplify]: Simplify (/ PI 1) into PI 1.215 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.216 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.216 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.216 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.218 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.219 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.220 * [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))))) 1.220 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.220 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.220 * [taylor]: Taking taylor expansion of -1 in n 1.220 * [backup-simplify]: Simplify -1 into -1 1.220 * [taylor]: Taking taylor expansion of k in n 1.220 * [backup-simplify]: Simplify k into k 1.220 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.220 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.220 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.222 * [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))) 1.222 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.222 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.222 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.222 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.222 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.222 * [taylor]: Taking taylor expansion of 1/2 in n 1.222 * [backup-simplify]: Simplify 1/2 into 1/2 1.222 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.222 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.222 * [taylor]: Taking taylor expansion of k in n 1.222 * [backup-simplify]: Simplify k into k 1.222 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.222 * [taylor]: Taking taylor expansion of 1 in n 1.222 * [backup-simplify]: Simplify 1 into 1 1.222 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.222 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.222 * [taylor]: Taking taylor expansion of -2 in n 1.222 * [backup-simplify]: Simplify -2 into -2 1.222 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.222 * [taylor]: Taking taylor expansion of PI in n 1.222 * [backup-simplify]: Simplify PI into PI 1.222 * [taylor]: Taking taylor expansion of n in n 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify 1 into 1 1.223 * [backup-simplify]: Simplify (/ PI 1) into PI 1.223 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.224 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.224 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.224 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.226 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.227 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.228 * [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))))) 1.228 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.228 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.228 * [taylor]: Taking taylor expansion of -1 in n 1.228 * [backup-simplify]: Simplify -1 into -1 1.228 * [taylor]: Taking taylor expansion of k in n 1.228 * [backup-simplify]: Simplify k into k 1.228 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.228 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.228 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.230 * [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))) 1.230 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.230 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.230 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.230 * [taylor]: Taking taylor expansion of 1/2 in k 1.230 * [backup-simplify]: Simplify 1/2 into 1/2 1.230 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.230 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.230 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.230 * [taylor]: Taking taylor expansion of k in k 1.230 * [backup-simplify]: Simplify 0 into 0 1.230 * [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)) (log n)) in k 1.231 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.231 * [taylor]: Taking taylor expansion of (* -2 PI) 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 in k 1.231 * [backup-simplify]: Simplify PI into PI 1.231 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.232 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.232 * [taylor]: Taking taylor expansion of (log n) in k 1.232 * [taylor]: Taking taylor expansion of n in k 1.232 * [backup-simplify]: Simplify n into n 1.232 * [backup-simplify]: Simplify (log n) into (log n) 1.233 * [backup-simplify]: Simplify (+ 1 0) into 1 1.233 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.234 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1.235 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1.236 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1.237 * [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))))) 1.237 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.237 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.237 * [taylor]: Taking taylor expansion of -1 in k 1.237 * [backup-simplify]: Simplify -1 into -1 1.237 * [taylor]: Taking taylor expansion of k in k 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 1 into 1 1.238 * [backup-simplify]: Simplify (/ -1 1) into -1 1.238 * [backup-simplify]: Simplify (sqrt 0) into 0 1.239 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.240 * [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)))))) 1.242 * [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)))))) 1.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.243 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.246 * [backup-simplify]: Simplify (+ 0 0) into 0 1.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1.248 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.249 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1.251 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.252 * [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 1.252 * [taylor]: Taking taylor expansion of 0 in k 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.256 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.258 * [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))))))) 1.259 * [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))))))) 1.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.261 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.265 * [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 1.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.265 * [backup-simplify]: Simplify (+ 0 0) into 0 1.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1.267 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.272 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1.274 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.275 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.275 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1.277 * [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 1.277 * [taylor]: Taking taylor expansion of 0 in k 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.282 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.285 * [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))))))) 1.287 * [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))))))) 1.290 * [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)))))))))))) 1.291 * * * [progress]: simplifying candidates 1.291 * * * * [progress]: [ 1 / 133 ] simplifiying candidate # 1.291 * * * * [progress]: [ 2 / 133 ] simplifiying candidate # 1.291 * * * * [progress]: [ 3 / 133 ] simplifiying candidate # 1.291 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 1.291 * * [simplify]: iters left: 6 (13 enodes) 1.298 * * [simplify]: iters left: 5 (54 enodes) 1.316 * * [simplify]: iters left: 4 (97 enodes) 1.357 * * [simplify]: iters left: 3 (250 enodes) 1.501 * * [simplify]: Extracting #0: cost 1 inf + 0 1.501 * * [simplify]: Extracting #1: cost 34 inf + 0 1.501 * * [simplify]: Extracting #2: cost 100 inf + 73 1.503 * * [simplify]: Extracting #3: cost 126 inf + 1867 1.509 * * [simplify]: Extracting #4: cost 46 inf + 20363 1.521 * * [simplify]: Extracting #5: cost 5 inf + 31901 1.540 * * [simplify]: Extracting #6: cost 0 inf + 33789 1.555 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 1.555 * [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))) 1.555 * * * * [progress]: [ 4 / 133 ] simplifiying candidate # 1.555 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 1.555 * * [simplify]: iters left: 6 (12 enodes) 1.563 * * [simplify]: iters left: 5 (52 enodes) 1.580 * * [simplify]: iters left: 4 (90 enodes) 1.614 * * [simplify]: iters left: 3 (207 enodes) 1.726 * * [simplify]: Extracting #0: cost 1 inf + 0 1.726 * * [simplify]: Extracting #1: cost 29 inf + 0 1.727 * * [simplify]: Extracting #2: cost 88 inf + 73 1.728 * * [simplify]: Extracting #3: cost 117 inf + 443 1.730 * * [simplify]: Extracting #4: cost 77 inf + 5789 1.737 * * [simplify]: Extracting #5: cost 28 inf + 17508 1.746 * * [simplify]: Extracting #6: cost 0 inf + 26056 1.752 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 1.752 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k))) 1.752 * * * * [progress]: [ 5 / 133 ] simplifiying candidate # 1.752 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 1.752 * * [simplify]: iters left: 6 (11 enodes) 1.755 * * [simplify]: iters left: 5 (51 enodes) 1.764 * * [simplify]: iters left: 4 (97 enodes) 1.801 * * [simplify]: iters left: 3 (201 enodes) 1.872 * * [simplify]: Extracting #0: cost 1 inf + 0 1.872 * * [simplify]: Extracting #1: cost 31 inf + 0 1.872 * * [simplify]: Extracting #2: cost 94 inf + 2 1.873 * * [simplify]: Extracting #3: cost 127 inf + 355 1.876 * * [simplify]: Extracting #4: cost 75 inf + 7402 1.882 * * [simplify]: Extracting #5: cost 31 inf + 16283 1.895 * * [simplify]: Extracting #6: cost 3 inf + 23308 1.906 * * [simplify]: Extracting #7: cost 0 inf + 24140 1.916 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 1.916 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k))) 1.917 * * * * [progress]: [ 6 / 133 ] simplifiying candidate # 1.917 * * * * [progress]: [ 7 / 133 ] simplifiying candidate # 1.917 * [simplify]: Simplifying (* n (* 2 PI)) 1.917 * * [simplify]: iters left: 4 (5 enodes) 1.921 * * [simplify]: iters left: 3 (19 enodes) 1.927 * * [simplify]: iters left: 2 (27 enodes) 1.935 * * [simplify]: iters left: 1 (32 enodes) 1.943 * * [simplify]: Extracting #0: cost 1 inf + 0 1.943 * * [simplify]: Extracting #1: cost 8 inf + 0 1.944 * * [simplify]: Extracting #2: cost 7 inf + 45 1.944 * * [simplify]: Extracting #3: cost 0 inf + 421 1.944 * [simplify]: Simplified to (* (* PI 2) n) 1.944 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.944 * * * * [progress]: [ 8 / 133 ] simplifiying candidate # 1.945 * [simplify]: Simplifying (* n (* 2 PI)) 1.945 * * [simplify]: iters left: 4 (5 enodes) 1.948 * * [simplify]: iters left: 3 (19 enodes) 1.954 * * [simplify]: iters left: 2 (27 enodes) 1.962 * * [simplify]: iters left: 1 (32 enodes) 1.970 * * [simplify]: Extracting #0: cost 1 inf + 0 1.970 * * [simplify]: Extracting #1: cost 8 inf + 0 1.970 * * [simplify]: Extracting #2: cost 7 inf + 45 1.970 * * [simplify]: Extracting #3: cost 0 inf + 421 1.970 * [simplify]: Simplified to (* (* PI 2) n) 1.970 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.970 * * * * [progress]: [ 9 / 133 ] simplifiying candidate # 1.971 * [simplify]: Simplifying (* n (* 2 PI)) 1.971 * * [simplify]: iters left: 4 (5 enodes) 1.974 * * [simplify]: iters left: 3 (19 enodes) 1.978 * * [simplify]: iters left: 2 (27 enodes) 1.982 * * [simplify]: iters left: 1 (32 enodes) 1.986 * * [simplify]: Extracting #0: cost 1 inf + 0 1.986 * * [simplify]: Extracting #1: cost 8 inf + 0 1.986 * * [simplify]: Extracting #2: cost 7 inf + 45 1.986 * * [simplify]: Extracting #3: cost 0 inf + 421 1.987 * [simplify]: Simplified to (* (* PI 2) n) 1.987 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.987 * * * * [progress]: [ 10 / 133 ] simplifiying candidate # 1.987 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 1.987 * * [simplify]: iters left: 5 (8 enodes) 1.989 * * [simplify]: iters left: 4 (31 enodes) 1.994 * * [simplify]: iters left: 3 (51 enodes) 2.002 * * [simplify]: iters left: 2 (85 enodes) 2.018 * * [simplify]: iters left: 1 (152 enodes) 2.068 * * [simplify]: Extracting #0: cost 1 inf + 0 2.068 * * [simplify]: Extracting #1: cost 13 inf + 0 2.068 * * [simplify]: Extracting #2: cost 59 inf + 1 2.068 * * [simplify]: Extracting #3: cost 76 inf + 9 2.069 * * [simplify]: Extracting #4: cost 41 inf + 3303 2.071 * * [simplify]: Extracting #5: cost 16 inf + 10676 2.074 * * [simplify]: Extracting #6: cost 0 inf + 21028 2.076 * * [simplify]: Extracting #7: cost 0 inf + 20456 2.079 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 2.079 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) 2.079 * * * * [progress]: [ 11 / 133 ] simplifiying candidate # 2.079 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 2.079 * * [simplify]: iters left: 5 (6 enodes) 2.082 * * [simplify]: iters left: 4 (26 enodes) 2.087 * * [simplify]: iters left: 3 (35 enodes) 2.092 * * [simplify]: Extracting #0: cost 1 inf + 0 2.092 * * [simplify]: Extracting #1: cost 3 inf + 0 2.092 * * [simplify]: Extracting #2: cost 8 inf + 0 2.092 * * [simplify]: Extracting #3: cost 11 inf + 2 2.092 * * [simplify]: Extracting #4: cost 8 inf + 87 2.092 * * [simplify]: Extracting #5: cost 2 inf + 500 2.092 * * [simplify]: Extracting #6: cost 0 inf + 746 2.093 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 2.093 * [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))) 2.093 * * * * [progress]: [ 12 / 133 ] simplifiying candidate # 2.093 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 2.093 * * [simplify]: iters left: 5 (6 enodes) 2.095 * * [simplify]: iters left: 4 (26 enodes) 2.100 * * [simplify]: iters left: 3 (35 enodes) 2.105 * * [simplify]: Extracting #0: cost 1 inf + 0 2.105 * * [simplify]: Extracting #1: cost 3 inf + 0 2.105 * * [simplify]: Extracting #2: cost 8 inf + 0 2.105 * * [simplify]: Extracting #3: cost 11 inf + 2 2.105 * * [simplify]: Extracting #4: cost 8 inf + 87 2.105 * * [simplify]: Extracting #5: cost 2 inf + 460 2.105 * * [simplify]: Extracting #6: cost 0 inf + 666 2.105 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 2.105 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k))) 2.105 * * * * [progress]: [ 13 / 133 ] simplifiying candidate # 2.106 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 2.106 * * [simplify]: iters left: 5 (7 enodes) 2.110 * * [simplify]: iters left: 4 (25 enodes) 2.114 * * [simplify]: iters left: 3 (30 enodes) 2.118 * * [simplify]: Extracting #0: cost 1 inf + 0 2.118 * * [simplify]: Extracting #1: cost 4 inf + 0 2.119 * * [simplify]: Extracting #2: cost 8 inf + 0 2.119 * * [simplify]: Extracting #3: cost 10 inf + 82 2.119 * * [simplify]: Extracting #4: cost 7 inf + 206 2.119 * * [simplify]: Extracting #5: cost 2 inf + 575 2.119 * * [simplify]: Extracting #6: cost 1 inf + 818 2.119 * * [simplify]: Extracting #7: cost 0 inf + 1061 2.119 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 2.119 * [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))) 2.119 * * * * [progress]: [ 14 / 133 ] simplifiying candidate # 2.120 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 2.120 * * [simplify]: iters left: 5 (7 enodes) 2.122 * * [simplify]: iters left: 4 (25 enodes) 2.126 * * [simplify]: iters left: 3 (30 enodes) 2.131 * * [simplify]: Extracting #0: cost 1 inf + 0 2.131 * * [simplify]: Extracting #1: cost 4 inf + 0 2.131 * * [simplify]: Extracting #2: cost 8 inf + 0 2.131 * * [simplify]: Extracting #3: cost 10 inf + 42 2.131 * * [simplify]: Extracting #4: cost 7 inf + 126 2.131 * * [simplify]: Extracting #5: cost 2 inf + 495 2.132 * * [simplify]: Extracting #6: cost 1 inf + 698 2.132 * * [simplify]: Extracting #7: cost 0 inf + 901 2.132 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 2.132 * [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))) 2.132 * * * * [progress]: [ 15 / 133 ] simplifiying candidate # 2.132 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 2.132 * * [simplify]: iters left: 5 (6 enodes) 2.134 * * [simplify]: iters left: 4 (22 enodes) 2.138 * * [simplify]: iters left: 3 (27 enodes) 2.142 * * [simplify]: Extracting #0: cost 1 inf + 0 2.142 * * [simplify]: Extracting #1: cost 4 inf + 0 2.142 * * [simplify]: Extracting #2: cost 5 inf + 1 2.142 * * [simplify]: Extracting #3: cost 9 inf + 1 2.142 * * [simplify]: Extracting #4: cost 8 inf + 3 2.142 * * [simplify]: Extracting #5: cost 4 inf + 169 2.142 * * [simplify]: Extracting #6: cost 1 inf + 576 2.142 * * [simplify]: Extracting #7: cost 0 inf + 739 2.142 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 2.142 * [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))) 2.143 * * * * [progress]: [ 16 / 133 ] simplifiying candidate # 2.143 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 2.143 * * [simplify]: iters left: 5 (7 enodes) 2.145 * * [simplify]: iters left: 4 (25 enodes) 2.149 * * [simplify]: iters left: 3 (30 enodes) 2.154 * * [simplify]: Extracting #0: cost 1 inf + 0 2.154 * * [simplify]: Extracting #1: cost 4 inf + 0 2.154 * * [simplify]: Extracting #2: cost 8 inf + 0 2.154 * * [simplify]: Extracting #3: cost 10 inf + 82 2.154 * * [simplify]: Extracting #4: cost 7 inf + 206 2.154 * * [simplify]: Extracting #5: cost 2 inf + 495 2.154 * * [simplify]: Extracting #6: cost 1 inf + 698 2.154 * * [simplify]: Extracting #7: cost 0 inf + 901 2.154 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 2.154 * [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))) 2.155 * * * * [progress]: [ 17 / 133 ] simplifiying candidate # 2.155 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 2.155 * * [simplify]: iters left: 5 (7 enodes) 2.157 * * [simplify]: iters left: 4 (25 enodes) 2.161 * * [simplify]: iters left: 3 (30 enodes) 2.166 * * [simplify]: Extracting #0: cost 1 inf + 0 2.166 * * [simplify]: Extracting #1: cost 4 inf + 0 2.166 * * [simplify]: Extracting #2: cost 8 inf + 0 2.166 * * [simplify]: Extracting #3: cost 10 inf + 42 2.166 * * [simplify]: Extracting #4: cost 7 inf + 126 2.166 * * [simplify]: Extracting #5: cost 2 inf + 415 2.166 * * [simplify]: Extracting #6: cost 1 inf + 578 2.166 * * [simplify]: Extracting #7: cost 0 inf + 741 2.167 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 2.167 * [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))) 2.167 * * * * [progress]: [ 18 / 133 ] simplifiying candidate # 2.167 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 2.167 * * [simplify]: iters left: 5 (6 enodes) 2.169 * * [simplify]: iters left: 4 (22 enodes) 2.173 * * [simplify]: iters left: 3 (27 enodes) 2.177 * * [simplify]: Extracting #0: cost 1 inf + 0 2.177 * * [simplify]: Extracting #1: cost 4 inf + 0 2.177 * * [simplify]: Extracting #2: cost 5 inf + 1 2.177 * * [simplify]: Extracting #3: cost 9 inf + 1 2.177 * * [simplify]: Extracting #4: cost 8 inf + 3 2.177 * * [simplify]: Extracting #5: cost 4 inf + 169 2.178 * * [simplify]: Extracting #6: cost 1 inf + 456 2.178 * * [simplify]: Extracting #7: cost 0 inf + 579 2.178 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 2.178 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k))) 2.178 * * * * [progress]: [ 19 / 133 ] simplifiying candidate # 2.178 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.178 * * [simplify]: iters left: 4 (6 enodes) 2.180 * * [simplify]: iters left: 3 (25 enodes) 2.185 * * [simplify]: iters left: 2 (36 enodes) 2.193 * * [simplify]: iters left: 1 (40 enodes) 2.199 * * [simplify]: Extracting #0: cost 1 inf + 0 2.199 * * [simplify]: Extracting #1: cost 7 inf + 0 2.199 * * [simplify]: Extracting #2: cost 16 inf + 0 2.199 * * [simplify]: Extracting #3: cost 13 inf + 44 2.199 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.200 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.200 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.200 * [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))) 2.200 * * * * [progress]: [ 20 / 133 ] simplifiying candidate # 2.200 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.200 * * [simplify]: iters left: 4 (6 enodes) 2.202 * * [simplify]: iters left: 3 (25 enodes) 2.207 * * [simplify]: iters left: 2 (36 enodes) 2.213 * * [simplify]: iters left: 1 (40 enodes) 2.219 * * [simplify]: Extracting #0: cost 1 inf + 0 2.219 * * [simplify]: Extracting #1: cost 7 inf + 0 2.219 * * [simplify]: Extracting #2: cost 16 inf + 0 2.219 * * [simplify]: Extracting #3: cost 13 inf + 44 2.219 * * [simplify]: Extracting #4: cost 3 inf + 823 2.219 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.220 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.220 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.220 * * * * [progress]: [ 21 / 133 ] simplifiying candidate # 2.220 * [simplify]: Simplifying (/ (- 1 k) 2) 2.220 * * [simplify]: iters left: 4 (5 enodes) 2.222 * * [simplify]: iters left: 3 (23 enodes) 2.226 * * [simplify]: iters left: 2 (32 enodes) 2.231 * * [simplify]: Extracting #0: cost 1 inf + 0 2.231 * * [simplify]: Extracting #1: cost 6 inf + 0 2.231 * * [simplify]: Extracting #2: cost 9 inf + 2 2.231 * * [simplify]: Extracting #3: cost 6 inf + 87 2.232 * * [simplify]: Extracting #4: cost 0 inf + 420 2.232 * [simplify]: Simplified to (/ (- 1 k) 2) 2.232 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.232 * * * * [progress]: [ 22 / 133 ] simplifiying candidate # 2.232 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2.232 * * [simplify]: iters left: 5 (8 enodes) 2.235 * * [simplify]: iters left: 4 (31 enodes) 2.240 * * [simplify]: iters left: 3 (45 enodes) 2.247 * * [simplify]: iters left: 2 (51 enodes) 2.259 * * [simplify]: iters left: 1 (52 enodes) 2.272 * * [simplify]: Extracting #0: cost 1 inf + 0 2.273 * * [simplify]: Extracting #1: cost 8 inf + 0 2.273 * * [simplify]: Extracting #2: cost 18 inf + 0 2.273 * * [simplify]: Extracting #3: cost 19 inf + 2 2.273 * * [simplify]: Extracting #4: cost 9 inf + 977 2.274 * * [simplify]: Extracting #5: cost 2 inf + 1790 2.274 * * [simplify]: Extracting #6: cost 0 inf + 2195 2.275 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.275 * [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))) 2.275 * * * * [progress]: [ 23 / 133 ] simplifiying candidate # 2.275 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2.276 * * [simplify]: iters left: 5 (8 enodes) 2.279 * * [simplify]: iters left: 4 (31 enodes) 2.285 * * [simplify]: iters left: 3 (45 enodes) 2.292 * * [simplify]: iters left: 2 (51 enodes) 2.299 * * [simplify]: iters left: 1 (52 enodes) 2.305 * * [simplify]: Extracting #0: cost 1 inf + 0 2.305 * * [simplify]: Extracting #1: cost 8 inf + 0 2.305 * * [simplify]: Extracting #2: cost 18 inf + 0 2.306 * * [simplify]: Extracting #3: cost 19 inf + 2 2.306 * * [simplify]: Extracting #4: cost 9 inf + 697 2.306 * * [simplify]: Extracting #5: cost 2 inf + 1390 2.306 * * [simplify]: Extracting #6: cost 0 inf + 1715 2.307 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.307 * [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))) 2.307 * * * * [progress]: [ 24 / 133 ] simplifiying candidate # 2.307 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 2.307 * * [simplify]: iters left: 5 (7 enodes) 2.310 * * [simplify]: iters left: 4 (29 enodes) 2.319 * * [simplify]: iters left: 3 (43 enodes) 2.330 * * [simplify]: iters left: 2 (47 enodes) 2.337 * * [simplify]: Extracting #0: cost 1 inf + 0 2.338 * * [simplify]: Extracting #1: cost 7 inf + 0 2.338 * * [simplify]: Extracting #2: cost 11 inf + 2 2.338 * * [simplify]: Extracting #3: cost 13 inf + 3 2.338 * * [simplify]: Extracting #4: cost 11 inf + 45 2.338 * * [simplify]: Extracting #5: cost 0 inf + 1066 2.338 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.338 * [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))) 2.338 * * * * [progress]: [ 25 / 133 ] simplifiying candidate # 2.338 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 2.338 * * [simplify]: iters left: 5 (7 enodes) 2.341 * * [simplify]: iters left: 4 (28 enodes) 2.345 * * [simplify]: iters left: 3 (39 enodes) 2.351 * * [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 2.358 * * [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) 2.377 * * [simplify]: iters left: 2 (43 enodes) 2.392 * * [simplify]: Extracting #0: cost 1 inf + 0 2.392 * * [simplify]: Extracting #1: cost 7 inf + 0 2.393 * * [simplify]: Extracting #2: cost 16 inf + 0 2.393 * * [simplify]: Extracting #3: cost 15 inf + 84 2.393 * * [simplify]: Extracting #4: cost 13 inf + 167 2.393 * * [simplify]: Extracting #5: cost 5 inf + 900 2.393 * * [simplify]: Extracting #6: cost 0 inf + 1551 2.394 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.394 * [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))) 2.394 * * * * [progress]: [ 27 / 133 ] simplifiying candidate # 2.394 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 2.394 * * [simplify]: iters left: 5 (6 enodes) 2.396 * * [simplify]: iters left: 4 (26 enodes) 2.400 * * [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 2.406 * * [simplify]: Extracting #3: cost 11 inf + 3 2.406 * * [simplify]: Extracting #4: cost 10 inf + 4 2.406 * * [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) 2.408 * * [simplify]: iters left: 3 (25 enodes) 2.413 * * [simplify]: iters left: 2 (36 enodes) 2.418 * * [simplify]: iters left: 1 (40 enodes) 2.424 * * [simplify]: Extracting #0: cost 1 inf + 0 2.424 * * [simplify]: Extracting #1: cost 7 inf + 0 2.424 * * [simplify]: Extracting #2: cost 16 inf + 0 2.424 * * [simplify]: Extracting #3: cost 13 inf + 44 2.425 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.425 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.425 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.425 * [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))) 2.425 * * * * [progress]: [ 29 / 133 ] simplifiying candidate # 2.425 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.425 * * [simplify]: iters left: 4 (6 enodes) 2.427 * * [simplify]: iters left: 3 (25 enodes) 2.432 * * [simplify]: iters left: 2 (36 enodes) 2.437 * * [simplify]: iters left: 1 (40 enodes) 2.443 * * [simplify]: Extracting #0: cost 1 inf + 0 2.443 * * [simplify]: Extracting #1: cost 7 inf + 0 2.443 * * [simplify]: Extracting #2: cost 16 inf + 0 2.444 * * [simplify]: Extracting #3: cost 13 inf + 44 2.444 * * [simplify]: Extracting #4: cost 3 inf + 823 2.444 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.444 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.444 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.444 * * * * [progress]: [ 30 / 133 ] simplifiying candidate # 2.445 * [simplify]: Simplifying (/ (- 1 k) 2) 2.445 * * [simplify]: iters left: 4 (5 enodes) 2.446 * * [simplify]: iters left: 3 (23 enodes) 2.450 * * [simplify]: iters left: 2 (32 enodes) 2.455 * * [simplify]: Extracting #0: cost 1 inf + 0 2.455 * * [simplify]: Extracting #1: cost 6 inf + 0 2.455 * * [simplify]: Extracting #2: cost 9 inf + 2 2.455 * * [simplify]: Extracting #3: cost 6 inf + 87 2.455 * * [simplify]: Extracting #4: cost 0 inf + 420 2.455 * [simplify]: Simplified to (/ (- 1 k) 2) 2.455 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.456 * * * * [progress]: [ 31 / 133 ] simplifiying candidate # 2.456 * [simplify]: Simplifying (/ (- 1 k) 2) 2.456 * * [simplify]: iters left: 4 (5 enodes) 2.458 * * [simplify]: iters left: 3 (23 enodes) 2.462 * * [simplify]: iters left: 2 (32 enodes) 2.468 * * [simplify]: Extracting #0: cost 1 inf + 0 2.468 * * [simplify]: Extracting #1: cost 6 inf + 0 2.468 * * [simplify]: Extracting #2: cost 9 inf + 2 2.468 * * [simplify]: Extracting #3: cost 6 inf + 87 2.469 * * [simplify]: Extracting #4: cost 0 inf + 420 2.469 * [simplify]: Simplified to (/ (- 1 k) 2) 2.469 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k))) 2.469 * * * * [progress]: [ 32 / 133 ] simplifiying candidate # 2.469 * [simplify]: Simplifying (/ 1 2) 2.469 * * [simplify]: iters left: 2 (3 enodes) 2.471 * * [simplify]: iters left: 1 (12 enodes) 2.473 * * [simplify]: Extracting #0: cost 1 inf + 0 2.473 * * [simplify]: Extracting #1: cost 0 inf + 1 2.473 * [simplify]: Simplified to 1/2 2.473 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (sqrt k))) 2.473 * * * * [progress]: [ 33 / 133 ] simplifiying candidate # 2.473 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 2.473 * * [simplify]: iters left: 5 (7 enodes) 2.475 * * [simplify]: iters left: 4 (32 enodes) 2.481 * * [simplify]: iters left: 3 (57 enodes) 2.490 * * [simplify]: iters left: 2 (88 enodes) 2.506 * * [simplify]: iters left: 1 (156 enodes) 2.552 * * [simplify]: Extracting #0: cost 1 inf + 0 2.552 * * [simplify]: Extracting #1: cost 13 inf + 0 2.552 * * [simplify]: Extracting #2: cost 49 inf + 2 2.553 * * [simplify]: Extracting #3: cost 80 inf + 6 2.554 * * [simplify]: Extracting #4: cost 58 inf + 1840 2.560 * * [simplify]: Extracting #5: cost 22 inf + 9206 2.565 * * [simplify]: Extracting #6: cost 1 inf + 20886 2.571 * * [simplify]: Extracting #7: cost 0 inf + 21301 2.577 * * [simplify]: Extracting #8: cost 0 inf + 21130 2.583 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 2.583 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 2.583 * * * * [progress]: [ 34 / 133 ] simplifiying candidate # 2.583 * * * * [progress]: [ 35 / 133 ] simplifiying candidate # 2.583 * * * * [progress]: [ 36 / 133 ] simplifiying candidate # 2.584 * * * * [progress]: [ 37 / 133 ] simplifiying candidate # 2.584 * * * * [progress]: [ 38 / 133 ] simplifiying candidate # 2.584 * * * * [progress]: [ 39 / 133 ] simplifiying candidate # 2.584 * * * * [progress]: [ 40 / 133 ] simplifiying candidate # 2.584 * * * * [progress]: [ 41 / 133 ] simplifiying candidate # 2.584 * * * * [progress]: [ 42 / 133 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))> 2.584 * * * * [progress]: [ 43 / 133 ] simplifiying candidate # 2.584 * * * * [progress]: [ 44 / 133 ] simplifiying candidate # 2.584 * * * * [progress]: [ 45 / 133 ] simplifiying candidate # 2.584 * [simplify]: Simplifying (* n (* 2 PI)) 2.584 * * [simplify]: iters left: 4 (5 enodes) 2.588 * * [simplify]: iters left: 3 (19 enodes) 2.594 * * [simplify]: iters left: 2 (27 enodes) 2.602 * * [simplify]: iters left: 1 (32 enodes) 2.610 * * [simplify]: Extracting #0: cost 1 inf + 0 2.610 * * [simplify]: Extracting #1: cost 8 inf + 0 2.610 * * [simplify]: Extracting #2: cost 7 inf + 45 2.610 * * [simplify]: Extracting #3: cost 0 inf + 421 2.611 * [simplify]: Simplified to (* (* PI 2) n) 2.611 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 2.611 * * * * [progress]: [ 46 / 133 ] simplifiying candidate # 2.611 * [simplify]: Simplifying (* n (* 2 PI)) 2.611 * * [simplify]: iters left: 4 (5 enodes) 2.614 * * [simplify]: iters left: 3 (19 enodes) 2.620 * * [simplify]: iters left: 2 (27 enodes) 2.624 * * [simplify]: iters left: 1 (32 enodes) 2.628 * * [simplify]: Extracting #0: cost 1 inf + 0 2.628 * * [simplify]: Extracting #1: cost 8 inf + 0 2.628 * * [simplify]: Extracting #2: cost 7 inf + 45 2.629 * * [simplify]: Extracting #3: cost 0 inf + 421 2.629 * [simplify]: Simplified to (* (* PI 2) n) 2.629 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 2.629 * * * * [progress]: [ 47 / 133 ] simplifiying candidate # 2.629 * * * * [progress]: [ 48 / 133 ] simplifiying candidate # 2.629 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 2.629 * * [simplify]: iters left: 5 (8 enodes) 2.631 * * [simplify]: iters left: 4 (28 enodes) 2.636 * * [simplify]: iters left: 3 (36 enodes) 2.641 * * [simplify]: iters left: 2 (42 enodes) 2.647 * * [simplify]: Extracting #0: cost 1 inf + 0 2.647 * * [simplify]: Extracting #1: cost 8 inf + 0 2.647 * * [simplify]: Extracting #2: cost 17 inf + 0 2.647 * * [simplify]: Extracting #3: cost 12 inf + 145 2.647 * * [simplify]: Extracting #4: cost 5 inf + 1197 2.648 * * [simplify]: Extracting #5: cost 1 inf + 1925 2.648 * * [simplify]: Extracting #6: cost 0 inf + 2107 2.648 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 2.648 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k))) 2.648 * * * * [progress]: [ 49 / 133 ] simplifiying candidate # 2.648 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 2.649 * * [simplify]: iters left: 5 (7 enodes) 2.651 * * [simplify]: iters left: 4 (26 enodes) 2.656 * * [simplify]: iters left: 3 (35 enodes) 2.666 * * [simplify]: iters left: 2 (44 enodes) 2.678 * * [simplify]: Extracting #0: cost 1 inf + 0 2.678 * * [simplify]: Extracting #1: cost 8 inf + 0 2.678 * * [simplify]: Extracting #2: cost 18 inf + 0 2.680 * * [simplify]: Extracting #3: cost 15 inf + 74 2.680 * * [simplify]: Extracting #4: cost 8 inf + 554 2.681 * * [simplify]: Extracting #5: cost 0 inf + 1911 2.681 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 2.681 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 2.681 * * * * [progress]: [ 50 / 133 ] simplifiying candidate # 2.681 * * * * [progress]: [ 51 / 133 ] simplifiying candidate # 2.681 * * * * [progress]: [ 52 / 133 ] simplifiying candidate # 2.682 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 2.682 * * [simplify]: iters left: 6 (11 enodes) 2.686 * * [simplify]: iters left: 5 (48 enodes) 2.696 * * [simplify]: iters left: 4 (121 enodes) 2.725 * * [simplify]: iters left: 3 (348 enodes) 2.933 * * [simplify]: Extracting #0: cost 1 inf + 0 2.933 * * [simplify]: Extracting #1: cost 67 inf + 0 2.935 * * [simplify]: Extracting #2: cost 165 inf + 786 2.940 * * [simplify]: Extracting #3: cost 85 inf + 10177 2.952 * * [simplify]: Extracting #4: cost 9 inf + 26399 2.965 * * [simplify]: Extracting #5: cost 0 inf + 28546 2.978 * * [simplify]: Extracting #6: cost 0 inf + 28506 2.990 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 2.990 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt k))) 2.990 * * * * [progress]: [ 53 / 133 ] simplifiying candidate # 2.991 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 2.991 * * [simplify]: iters left: 6 (9 enodes) 2.997 * * [simplify]: iters left: 5 (45 enodes) 3.016 * * [simplify]: iters left: 4 (117 enodes) 3.062 * * [simplify]: iters left: 3 (374 enodes) 3.433 * * [simplify]: Extracting #0: cost 1 inf + 0 3.433 * * [simplify]: Extracting #1: cost 77 inf + 0 3.435 * * [simplify]: Extracting #2: cost 184 inf + 984 3.442 * * [simplify]: Extracting #3: cost 106 inf + 11690 3.459 * * [simplify]: Extracting #4: cost 6 inf + 30376 3.478 * * [simplify]: Extracting #5: cost 0 inf + 31644 3.497 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 3.497 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (sqrt k))) 3.497 * * * * [progress]: [ 54 / 133 ] simplifiying candidate # 3.497 * * * * [progress]: [ 55 / 133 ] simplifiying candidate # 3.497 * * * * [progress]: [ 56 / 133 ] simplifiying candidate # 3.497 * * * * [progress]: [ 57 / 133 ] simplifiying candidate # 3.497 * * * * [progress]: [ 58 / 133 ] simplifiying candidate # 3.497 * * * * [progress]: [ 59 / 133 ] simplifiying candidate # 3.497 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 3.498 * * [simplify]: iters left: 3 (3 enodes) 3.499 * * [simplify]: iters left: 2 (9 enodes) 3.501 * * [simplify]: Extracting #0: cost 1 inf + 0 3.502 * * [simplify]: Extracting #1: cost 3 inf + 0 3.502 * * [simplify]: Extracting #2: cost 5 inf + 0 3.502 * * [simplify]: Extracting #3: cost 4 inf + 1 3.502 * * [simplify]: Extracting #4: cost 0 inf + 405 3.502 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 3.502 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 3.502 * * * * [progress]: [ 60 / 133 ] simplifiying candidate # 3.502 * [simplify]: Simplifying (sqrt n) 3.502 * * [simplify]: iters left: 1 (2 enodes) 3.503 * * [simplify]: Extracting #0: cost 1 inf + 0 3.503 * * [simplify]: Extracting #1: cost 3 inf + 0 3.503 * * [simplify]: Extracting #2: cost 2 inf + 1 3.503 * * [simplify]: Extracting #3: cost 0 inf + 83 3.503 * [simplify]: Simplified to (sqrt n) 3.503 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 3.504 * * * * [progress]: [ 61 / 133 ] simplifiying candidate # 3.504 * * * * [progress]: [ 62 / 133 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))> 3.504 * * * * [progress]: [ 63 / 133 ] simplifiying candidate # 3.504 * * * * [progress]: [ 64 / 133 ] simplifiying candidate # 3.504 * * * * [progress]: [ 65 / 133 ] simplifiying candidate # 3.504 * * * * [progress]: [ 66 / 133 ] simplifiying candidate # 3.504 * * * * [progress]: [ 67 / 133 ] simplifiying candidate # 3.504 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.504 * * [simplify]: iters left: 6 (16 enodes) 3.513 * * [simplify]: iters left: 5 (66 enodes) 3.539 * * [simplify]: iters left: 4 (113 enodes) 3.589 * * [simplify]: iters left: 3 (306 enodes) 3.742 * * [simplify]: Extracting #0: cost 1 inf + 0 3.743 * * [simplify]: Extracting #1: cost 33 inf + 0 3.743 * * [simplify]: Extracting #2: cost 89 inf + 0 3.745 * * [simplify]: Extracting #3: cost 132 inf + 603 3.755 * * [simplify]: Extracting #4: cost 115 inf + 7823 3.769 * * [simplify]: Extracting #5: cost 21 inf + 36693 3.788 * * [simplify]: Extracting #6: cost 0 inf + 43786 3.800 * * [simplify]: Extracting #7: cost 0 inf + 43785 3.809 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))) 3.809 * [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))))) 3.809 * * * * [progress]: [ 68 / 133 ] simplifiying candidate # 3.810 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.810 * * [simplify]: iters left: 6 (15 enodes) 3.816 * * [simplify]: iters left: 5 (64 enodes) 3.837 * * [simplify]: iters left: 4 (106 enodes) 3.857 * * [simplify]: iters left: 3 (247 enodes) 3.959 * * [simplify]: Extracting #0: cost 1 inf + 0 3.960 * * [simplify]: Extracting #1: cost 29 inf + 0 3.960 * * [simplify]: Extracting #2: cost 82 inf + 0 3.961 * * [simplify]: Extracting #3: cost 122 inf + 147 3.962 * * [simplify]: Extracting #4: cost 128 inf + 2275 3.969 * * [simplify]: Extracting #5: cost 42 inf + 21718 3.983 * * [simplify]: Extracting #6: cost 4 inf + 33778 3.998 * * [simplify]: Extracting #7: cost 0 inf + 35144 4.013 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 4.013 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 4.013 * * * * [progress]: [ 69 / 133 ] simplifiying candidate # 4.013 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.014 * * [simplify]: iters left: 6 (14 enodes) 4.022 * * [simplify]: iters left: 5 (63 enodes) 4.042 * * [simplify]: iters left: 4 (113 enodes) 4.082 * * [simplify]: iters left: 3 (229 enodes) 4.178 * * [simplify]: Extracting #0: cost 1 inf + 0 4.178 * * [simplify]: Extracting #1: cost 23 inf + 0 4.178 * * [simplify]: Extracting #2: cost 83 inf + 0 4.179 * * [simplify]: Extracting #3: cost 120 inf + 284 4.180 * * [simplify]: Extracting #4: cost 111 inf + 4879 4.184 * * [simplify]: Extracting #5: cost 26 inf + 24636 4.199 * * [simplify]: Extracting #6: cost 0 inf + 31546 4.213 * * [simplify]: Extracting #7: cost 0 inf + 31046 4.226 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.226 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.226 * * * * [progress]: [ 70 / 133 ] simplifiying candidate # 4.227 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.227 * * [simplify]: iters left: 6 (14 enodes) 4.235 * * [simplify]: iters left: 5 (63 enodes) 4.246 * * [simplify]: iters left: 4 (113 enodes) 4.266 * * [simplify]: iters left: 3 (229 enodes) 4.345 * * [simplify]: Extracting #0: cost 1 inf + 0 4.345 * * [simplify]: Extracting #1: cost 23 inf + 0 4.346 * * [simplify]: Extracting #2: cost 83 inf + 0 4.347 * * [simplify]: Extracting #3: cost 120 inf + 284 4.349 * * [simplify]: Extracting #4: cost 111 inf + 4879 4.357 * * [simplify]: Extracting #5: cost 26 inf + 24636 4.371 * * [simplify]: Extracting #6: cost 0 inf + 31546 4.378 * * [simplify]: Extracting #7: cost 0 inf + 31046 4.385 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.386 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.386 * * * * [progress]: [ 71 / 133 ] simplifiying candidate # 4.386 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 4.386 * * [simplify]: iters left: 6 (14 enodes) 4.392 * * [simplify]: iters left: 5 (61 enodes) 4.408 * * [simplify]: iters left: 4 (112 enodes) 4.447 * * [simplify]: iters left: 3 (219 enodes) 4.544 * * [simplify]: Extracting #0: cost 1 inf + 0 4.544 * * [simplify]: Extracting #1: cost 24 inf + 0 4.545 * * [simplify]: Extracting #2: cost 109 inf + 0 4.546 * * [simplify]: Extracting #3: cost 171 inf + 75 4.547 * * [simplify]: Extracting #4: cost 167 inf + 904 4.552 * * [simplify]: Extracting #5: cost 91 inf + 14562 4.564 * * [simplify]: Extracting #6: cost 10 inf + 36286 4.578 * * [simplify]: Extracting #7: cost 0 inf + 40306 4.585 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))) 4.585 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 4.585 * * * * [progress]: [ 72 / 133 ] simplifiying candidate # 4.585 * * * * [progress]: [ 73 / 133 ] simplifiying candidate # 4.585 * * * * [progress]: [ 74 / 133 ] simplifiying candidate # 4.585 * [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))) 4.585 * * [simplify]: iters left: 6 (16 enodes) 4.590 * * [simplify]: iters left: 5 (72 enodes) 4.603 * * [simplify]: iters left: 4 (165 enodes) 4.676 * * [simplify]: iters left: 3 (474 enodes) 4.958 * * [simplify]: Extracting #0: cost 1 inf + 0 4.958 * * [simplify]: Extracting #1: cost 172 inf + 0 4.960 * * [simplify]: Extracting #2: cost 449 inf + 1 4.962 * * [simplify]: Extracting #3: cost 500 inf + 248 4.968 * * [simplify]: Extracting #4: cost 485 inf + 2081 4.976 * * [simplify]: Extracting #5: cost 365 inf + 63723 5.031 * * [simplify]: Extracting #6: cost 66 inf + 281431 5.127 * * [simplify]: Extracting #7: cost 0 inf + 324121 5.198 * * [simplify]: Extracting #8: cost 0 inf + 321869 5.278 * [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)))) 5.279 * [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)))))) 5.279 * * * * [progress]: [ 75 / 133 ] simplifiying candidate # 5.279 * * * * [progress]: [ 76 / 133 ] simplifiying candidate # 5.279 * * * * [progress]: [ 77 / 133 ] simplifiying candidate # 5.279 * * * * [progress]: [ 78 / 133 ] simplifiying candidate # 5.279 * * * * [progress]: [ 79 / 133 ] simplifiying candidate # 5.279 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.280 * * [simplify]: iters left: 6 (11 enodes) 5.287 * * [simplify]: iters left: 5 (46 enodes) 5.304 * * [simplify]: iters left: 4 (79 enodes) 5.331 * * [simplify]: iters left: 3 (135 enodes) 5.356 * * [simplify]: iters left: 2 (270 enodes) 5.468 * * [simplify]: Extracting #0: cost 1 inf + 0 5.468 * * [simplify]: Extracting #1: cost 56 inf + 0 5.469 * * [simplify]: Extracting #2: cost 151 inf + 0 5.470 * * [simplify]: Extracting #3: cost 211 inf + 3 5.473 * * [simplify]: Extracting #4: cost 182 inf + 8248 5.483 * * [simplify]: Extracting #5: cost 108 inf + 32321 5.502 * * [simplify]: Extracting #6: cost 40 inf + 73343 5.519 * * [simplify]: Extracting #7: cost 0 inf + 103841 5.533 * * [simplify]: Extracting #8: cost 0 inf + 103639 5.558 * * [simplify]: Extracting #9: cost 0 inf + 103517 5.585 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.585 * [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))))) 5.586 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 5.586 * * [simplify]: iters left: 6 (11 enodes) 5.592 * * [simplify]: iters left: 5 (45 enodes) 5.607 * * [simplify]: iters left: 4 (68 enodes) 5.630 * * [simplify]: iters left: 3 (110 enodes) 5.676 * * [simplify]: iters left: 2 (217 enodes) 5.720 * * [simplify]: iters left: 1 (458 enodes) 5.922 * * [simplify]: Extracting #0: cost 1 inf + 0 5.922 * * [simplify]: Extracting #1: cost 45 inf + 0 5.923 * * [simplify]: Extracting #2: cost 132 inf + 0 5.923 * * [simplify]: Extracting #3: cost 212 inf + 3 5.925 * * [simplify]: Extracting #4: cost 213 inf + 801 5.927 * * [simplify]: Extracting #5: cost 140 inf + 15314 5.944 * * [simplify]: Extracting #6: cost 26 inf + 94405 5.968 * * [simplify]: Extracting #7: cost 0 inf + 113797 5.984 * * [simplify]: Extracting #8: cost 0 inf + 112990 6.010 * * [simplify]: Extracting #9: cost 0 inf + 111447 6.030 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))) 6.030 * [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))))) 6.030 * * * * [progress]: [ 80 / 133 ] simplifiying candidate # 6.030 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 6.031 * * [simplify]: iters left: 6 (11 enodes) 6.034 * * [simplify]: iters left: 5 (45 enodes) 6.044 * * [simplify]: iters left: 4 (72 enodes) 6.056 * * [simplify]: iters left: 3 (113 enodes) 6.081 * * [simplify]: iters left: 2 (202 enodes) 6.162 * * [simplify]: iters left: 1 (423 enodes) 6.327 * * [simplify]: Extracting #0: cost 1 inf + 0 6.327 * * [simplify]: Extracting #1: cost 45 inf + 0 6.328 * * [simplify]: Extracting #2: cost 135 inf + 0 6.329 * * [simplify]: Extracting #3: cost 200 inf + 4 6.330 * * [simplify]: Extracting #4: cost 178 inf + 4357 6.335 * * [simplify]: Extracting #5: cost 104 inf + 31155 6.344 * * [simplify]: Extracting #6: cost 30 inf + 80538 6.361 * * [simplify]: Extracting #7: cost 0 inf + 106837 6.388 * * [simplify]: Extracting #8: cost 0 inf + 104726 6.414 * * [simplify]: Extracting #9: cost 0 inf + 104144 6.442 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 6.442 * [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))))) 6.443 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 6.443 * * [simplify]: iters left: 6 (11 enodes) 6.449 * * [simplify]: iters left: 5 (45 enodes) 6.464 * * [simplify]: iters left: 4 (68 enodes) 6.476 * * [simplify]: iters left: 3 (110 enodes) 6.498 * * [simplify]: iters left: 2 (217 enodes) 6.578 * * [simplify]: iters left: 1 (458 enodes) 6.741 * * [simplify]: Extracting #0: cost 1 inf + 0 6.741 * * [simplify]: Extracting #1: cost 45 inf + 0 6.741 * * [simplify]: Extracting #2: cost 132 inf + 0 6.742 * * [simplify]: Extracting #3: cost 212 inf + 3 6.743 * * [simplify]: Extracting #4: cost 213 inf + 841 6.748 * * [simplify]: Extracting #5: cost 140 inf + 15394 6.772 * * [simplify]: Extracting #6: cost 26 inf + 94485 6.804 * * [simplify]: Extracting #7: cost 0 inf + 113877 6.837 * * [simplify]: Extracting #8: cost 0 inf + 113070 6.859 * * [simplify]: Extracting #9: cost 0 inf + 111527 6.882 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))) 6.882 * [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))))) 6.882 * * * * [progress]: [ 81 / 133 ] simplifiying candidate # 6.883 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 6.883 * * [simplify]: iters left: 6 (10 enodes) 6.888 * * [simplify]: iters left: 5 (41 enodes) 6.903 * * [simplify]: iters left: 4 (68 enodes) 6.926 * * [simplify]: iters left: 3 (109 enodes) 6.963 * * [simplify]: iters left: 2 (194 enodes) 7.029 * * [simplify]: iters left: 1 (414 enodes) 7.270 * * [simplify]: Extracting #0: cost 1 inf + 0 7.271 * * [simplify]: Extracting #1: cost 45 inf + 0 7.271 * * [simplify]: Extracting #2: cost 141 inf + 0 7.273 * * [simplify]: Extracting #3: cost 206 inf + 4 7.276 * * [simplify]: Extracting #4: cost 180 inf + 9439 7.282 * * [simplify]: Extracting #5: cost 108 inf + 27286 7.293 * * [simplify]: Extracting #6: cost 36 inf + 72454 7.315 * * [simplify]: Extracting #7: cost 0 inf + 101831 7.346 * * [simplify]: Extracting #8: cost 0 inf + 101671 7.377 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.377 * [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))))) 7.377 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.378 * * [simplify]: iters left: 6 (11 enodes) 7.384 * * [simplify]: iters left: 5 (45 enodes) 7.398 * * [simplify]: iters left: 4 (68 enodes) 7.421 * * [simplify]: iters left: 3 (110 enodes) 7.462 * * [simplify]: iters left: 2 (217 enodes) 7.549 * * [simplify]: iters left: 1 (458 enodes) 7.729 * * [simplify]: Extracting #0: cost 1 inf + 0 7.729 * * [simplify]: Extracting #1: cost 45 inf + 0 7.729 * * [simplify]: Extracting #2: cost 132 inf + 0 7.730 * * [simplify]: Extracting #3: cost 212 inf + 3 7.731 * * [simplify]: Extracting #4: cost 213 inf + 761 7.734 * * [simplify]: Extracting #5: cost 140 inf + 15034 7.755 * * [simplify]: Extracting #6: cost 26 inf + 92245 7.845 * * [simplify]: Extracting #7: cost 0 inf + 111037 7.878 * * [simplify]: Extracting #8: cost 0 inf + 110230 7.910 * * [simplify]: Extracting #9: cost 0 inf + 108687 7.939 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 7.940 * [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))))) 7.940 * * * * [progress]: [ 82 / 133 ] simplifiying candidate # 7.940 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 7.940 * * [simplify]: iters left: 6 (9 enodes) 7.943 * * [simplify]: iters left: 5 (38 enodes) 7.950 * * [simplify]: iters left: 4 (63 enodes) 7.962 * * [simplify]: iters left: 3 (100 enodes) 7.981 * * [simplify]: iters left: 2 (175 enodes) 8.050 * * [simplify]: iters left: 1 (360 enodes) 8.217 * * [simplify]: Extracting #0: cost 1 inf + 0 8.217 * * [simplify]: Extracting #1: cost 52 inf + 0 8.218 * * [simplify]: Extracting #2: cost 150 inf + 3 8.219 * * [simplify]: Extracting #3: cost 190 inf + 8 8.222 * * [simplify]: Extracting #4: cost 161 inf + 3039 8.227 * * [simplify]: Extracting #5: cost 116 inf + 9850 8.241 * * [simplify]: Extracting #6: cost 35 inf + 60283 8.268 * * [simplify]: Extracting #7: cost 2 inf + 86206 8.281 * * [simplify]: Extracting #8: cost 0 inf + 87719 8.293 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 8.293 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 8.293 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 8.293 * * [simplify]: iters left: 6 (10 enodes) 8.297 * * [simplify]: iters left: 5 (42 enodes) 8.304 * * [simplify]: iters left: 4 (65 enodes) 8.315 * * [simplify]: iters left: 3 (104 enodes) 8.340 * * [simplify]: iters left: 2 (206 enodes) 8.395 * * [simplify]: iters left: 1 (435 enodes) 8.609 * * [simplify]: Extracting #0: cost 1 inf + 0 8.610 * * [simplify]: Extracting #1: cost 47 inf + 0 8.610 * * [simplify]: Extracting #2: cost 137 inf + 0 8.612 * * [simplify]: Extracting #3: cost 210 inf + 45 8.614 * * [simplify]: Extracting #4: cost 204 inf + 1134 8.618 * * [simplify]: Extracting #5: cost 148 inf + 9351 8.633 * * [simplify]: Extracting #6: cost 67 inf + 53607 8.661 * * [simplify]: Extracting #7: cost 1 inf + 112920 8.696 * * [simplify]: Extracting #8: cost 0 inf + 111430 8.726 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 8.726 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 8.727 * * * * [progress]: [ 83 / 133 ] simplifiying candidate # 8.727 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 8.727 * * [simplify]: iters left: 6 (10 enodes) 8.731 * * [simplify]: iters left: 5 (41 enodes) 8.739 * * [simplify]: iters left: 4 (68 enodes) 8.751 * * [simplify]: iters left: 3 (109 enodes) 8.775 * * [simplify]: iters left: 2 (194 enodes) 8.857 * * [simplify]: iters left: 1 (414 enodes) 9.065 * * [simplify]: Extracting #0: cost 1 inf + 0 9.065 * * [simplify]: Extracting #1: cost 45 inf + 0 9.066 * * [simplify]: Extracting #2: cost 141 inf + 0 9.067 * * [simplify]: Extracting #3: cost 206 inf + 4 9.068 * * [simplify]: Extracting #4: cost 180 inf + 9439 9.079 * * [simplify]: Extracting #5: cost 108 inf + 27286 9.102 * * [simplify]: Extracting #6: cost 36 inf + 72454 9.133 * * [simplify]: Extracting #7: cost 0 inf + 101831 9.168 * * [simplify]: Extracting #8: cost 0 inf + 101671 9.199 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.199 * [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))))) 9.200 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.200 * * [simplify]: iters left: 6 (11 enodes) 9.206 * * [simplify]: iters left: 5 (45 enodes) 9.221 * * [simplify]: iters left: 4 (68 enodes) 9.234 * * [simplify]: iters left: 3 (110 enodes) 9.258 * * [simplify]: iters left: 2 (217 enodes) 9.350 * * [simplify]: iters left: 1 (458 enodes) 9.553 * * [simplify]: Extracting #0: cost 1 inf + 0 9.553 * * [simplify]: Extracting #1: cost 45 inf + 0 9.554 * * [simplify]: Extracting #2: cost 132 inf + 0 9.555 * * [simplify]: Extracting #3: cost 212 inf + 3 9.556 * * [simplify]: Extracting #4: cost 213 inf + 761 9.559 * * [simplify]: Extracting #5: cost 140 inf + 15034 9.571 * * [simplify]: Extracting #6: cost 26 inf + 92245 9.602 * * [simplify]: Extracting #7: cost 0 inf + 111037 9.635 * * [simplify]: Extracting #8: cost 0 inf + 110230 9.662 * * [simplify]: Extracting #9: cost 0 inf + 108687 9.679 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 9.679 * [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))))) 9.679 * * * * [progress]: [ 84 / 133 ] simplifiying candidate # 9.680 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 9.680 * * [simplify]: iters left: 6 (8 enodes) 9.683 * * [simplify]: iters left: 5 (33 enodes) 9.691 * * [simplify]: iters left: 4 (56 enodes) 9.710 * * [simplify]: iters left: 3 (98 enodes) 9.751 * * [simplify]: iters left: 2 (203 enodes) 9.804 * * [simplify]: iters left: 1 (443 enodes) 10.044 * * [simplify]: Extracting #0: cost 1 inf + 0 10.045 * * [simplify]: Extracting #1: cost 47 inf + 0 10.045 * * [simplify]: Extracting #2: cost 155 inf + 3 10.046 * * [simplify]: Extracting #3: cost 207 inf + 8 10.047 * * [simplify]: Extracting #4: cost 189 inf + 2296 10.051 * * [simplify]: Extracting #5: cost 112 inf + 20090 10.062 * * [simplify]: Extracting #6: cost 19 inf + 81064 10.081 * * [simplify]: Extracting #7: cost 0 inf + 94833 10.098 * * [simplify]: Extracting #8: cost 0 inf + 93433 10.123 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 10.123 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 10.124 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 10.124 * * [simplify]: iters left: 6 (10 enodes) 10.130 * * [simplify]: iters left: 5 (42 enodes) 10.143 * * [simplify]: iters left: 4 (65 enodes) 10.165 * * [simplify]: iters left: 3 (104 enodes) 10.194 * * [simplify]: iters left: 2 (206 enodes) 10.262 * * [simplify]: iters left: 1 (435 enodes) 10.431 * * [simplify]: Extracting #0: cost 1 inf + 0 10.431 * * [simplify]: Extracting #1: cost 47 inf + 0 10.432 * * [simplify]: Extracting #2: cost 137 inf + 0 10.434 * * [simplify]: Extracting #3: cost 210 inf + 45 10.436 * * [simplify]: Extracting #4: cost 204 inf + 1134 10.440 * * [simplify]: Extracting #5: cost 148 inf + 9351 10.454 * * [simplify]: Extracting #6: cost 67 inf + 53607 10.483 * * [simplify]: Extracting #7: cost 1 inf + 112920 10.518 * * [simplify]: Extracting #8: cost 0 inf + 111430 10.543 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 10.543 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 10.543 * * * * [progress]: [ 85 / 133 ] simplifiying candidate # 10.543 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 10.543 * * [simplify]: iters left: 6 (16 enodes) 10.548 * * [simplify]: iters left: 5 (69 enodes) 10.560 * * [simplify]: iters left: 4 (117 enodes) 10.590 * * [simplify]: iters left: 3 (164 enodes) 10.642 * * [simplify]: iters left: 2 (236 enodes) 10.704 * * [simplify]: iters left: 1 (387 enodes) 10.817 * * [simplify]: Extracting #0: cost 1 inf + 0 10.818 * * [simplify]: Extracting #1: cost 11 inf + 0 10.818 * * [simplify]: Extracting #2: cost 22 inf + 0 10.818 * * [simplify]: Extracting #3: cost 48 inf + 0 10.819 * * [simplify]: Extracting #4: cost 120 inf + 2 10.820 * * [simplify]: Extracting #5: cost 150 inf + 787 10.823 * * [simplify]: Extracting #6: cost 110 inf + 5219 10.831 * * [simplify]: Extracting #7: cost 48 inf + 27777 10.848 * * [simplify]: Extracting #8: cost 12 inf + 58840 10.869 * * [simplify]: Extracting #9: cost 0 inf + 68408 10.885 * [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)))) 10.885 * [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))))) 10.885 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 10.886 * * [simplify]: iters left: 6 (14 enodes) 10.889 * * [simplify]: iters left: 5 (57 enodes) 10.899 * * [simplify]: iters left: 4 (90 enodes) 10.916 * * [simplify]: iters left: 3 (127 enodes) 10.939 * * [simplify]: iters left: 2 (195 enodes) 11.011 * * [simplify]: iters left: 1 (356 enodes) 11.155 * * [simplify]: Extracting #0: cost 1 inf + 0 11.155 * * [simplify]: Extracting #1: cost 4 inf + 0 11.155 * * [simplify]: Extracting #2: cost 8 inf + 0 11.156 * * [simplify]: Extracting #3: cost 34 inf + 0 11.156 * * [simplify]: Extracting #4: cost 107 inf + 164 11.156 * * [simplify]: Extracting #5: cost 148 inf + 585 11.158 * * [simplify]: Extracting #6: cost 109 inf + 5352 11.164 * * [simplify]: Extracting #7: cost 45 inf + 27047 11.182 * * [simplify]: Extracting #8: cost 6 inf + 58672 11.193 * * [simplify]: Extracting #9: cost 0 inf + 62696 11.204 * * [simplify]: Extracting #10: cost 0 inf + 62192 11.218 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 11.218 * [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))))) 11.218 * * * * [progress]: [ 86 / 133 ] simplifiying candidate # 11.218 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) 11.218 * * [simplify]: iters left: 6 (16 enodes) 11.231 * * [simplify]: iters left: 5 (66 enodes) 11.253 * * [simplify]: iters left: 4 (103 enodes) 11.284 * * [simplify]: iters left: 3 (142 enodes) 11.329 * * [simplify]: iters left: 2 (210 enodes) 11.409 * * [simplify]: iters left: 1 (370 enodes) 11.593 * * [simplify]: Extracting #0: cost 1 inf + 0 11.593 * * [simplify]: Extracting #1: cost 7 inf + 0 11.593 * * [simplify]: Extracting #2: cost 15 inf + 0 11.593 * * [simplify]: Extracting #3: cost 43 inf + 0 11.594 * * [simplify]: Extracting #4: cost 113 inf + 204 11.595 * * [simplify]: Extracting #5: cost 145 inf + 907 11.598 * * [simplify]: Extracting #6: cost 114 inf + 4465 11.605 * * [simplify]: Extracting #7: cost 52 inf + 23940 11.621 * * [simplify]: Extracting #8: cost 13 inf + 52482 11.642 * * [simplify]: Extracting #9: cost 0 inf + 63276 11.651 * * [simplify]: Extracting #10: cost 0 inf + 62983 11.661 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) 11.661 * [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))))) 11.661 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 11.661 * * [simplify]: iters left: 6 (14 enodes) 11.665 * * [simplify]: iters left: 5 (57 enodes) 11.679 * * [simplify]: iters left: 4 (90 enodes) 11.694 * * [simplify]: iters left: 3 (127 enodes) 11.716 * * [simplify]: iters left: 2 (195 enodes) 11.767 * * [simplify]: iters left: 1 (356 enodes) 11.932 * * [simplify]: Extracting #0: cost 1 inf + 0 11.932 * * [simplify]: Extracting #1: cost 4 inf + 0 11.932 * * [simplify]: Extracting #2: cost 8 inf + 0 11.932 * * [simplify]: Extracting #3: cost 34 inf + 0 11.933 * * [simplify]: Extracting #4: cost 107 inf + 204 11.934 * * [simplify]: Extracting #5: cost 148 inf + 665 11.941 * * [simplify]: Extracting #6: cost 109 inf + 5432 11.950 * * [simplify]: Extracting #7: cost 45 inf + 27127 11.963 * * [simplify]: Extracting #8: cost 6 inf + 58752 11.974 * * [simplify]: Extracting #9: cost 0 inf + 62776 11.985 * * [simplify]: Extracting #10: cost 0 inf + 62272 11.996 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 11.996 * [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))))) 11.996 * * * * [progress]: [ 87 / 133 ] simplifiying candidate # 11.997 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 11.997 * * [simplify]: iters left: 6 (15 enodes) 12.003 * * [simplify]: iters left: 5 (62 enodes) 12.013 * * [simplify]: iters left: 4 (99 enodes) 12.029 * * [simplify]: iters left: 3 (142 enodes) 12.070 * * [simplify]: iters left: 2 (215 enodes) 12.122 * * [simplify]: iters left: 1 (364 enodes) 12.251 * * [simplify]: Extracting #0: cost 1 inf + 0 12.251 * * [simplify]: Extracting #1: cost 7 inf + 0 12.251 * * [simplify]: Extracting #2: cost 14 inf + 0 12.251 * * [simplify]: Extracting #3: cost 41 inf + 0 12.252 * * [simplify]: Extracting #4: cost 107 inf + 165 12.253 * * [simplify]: Extracting #5: cost 134 inf + 713 12.256 * * [simplify]: Extracting #6: cost 89 inf + 7533 12.267 * * [simplify]: Extracting #7: cost 28 inf + 38261 12.279 * * [simplify]: Extracting #8: cost 0 inf + 60484 12.287 * * [simplify]: Extracting #9: cost 0 inf + 60062 12.296 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 12.296 * [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))))) 12.297 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 12.297 * * [simplify]: iters left: 6 (14 enodes) 12.301 * * [simplify]: iters left: 5 (57 enodes) 12.319 * * [simplify]: iters left: 4 (90 enodes) 12.346 * * [simplify]: iters left: 3 (127 enodes) 12.369 * * [simplify]: iters left: 2 (195 enodes) 12.407 * * [simplify]: iters left: 1 (356 enodes) 12.540 * * [simplify]: Extracting #0: cost 1 inf + 0 12.540 * * [simplify]: Extracting #1: cost 4 inf + 0 12.540 * * [simplify]: Extracting #2: cost 8 inf + 0 12.540 * * [simplify]: Extracting #3: cost 34 inf + 0 12.541 * * [simplify]: Extracting #4: cost 107 inf + 124 12.542 * * [simplify]: Extracting #5: cost 148 inf + 505 12.545 * * [simplify]: Extracting #6: cost 109 inf + 5272 12.549 * * [simplify]: Extracting #7: cost 45 inf + 26887 12.558 * * [simplify]: Extracting #8: cost 6 inf + 58512 12.570 * * [simplify]: Extracting #9: cost 0 inf + 62536 12.581 * * [simplify]: Extracting #10: cost 0 inf + 62032 12.595 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 12.595 * [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))))) 12.595 * * * * [progress]: [ 88 / 133 ] simplifiying candidate # 12.596 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 12.596 * * [simplify]: iters left: 6 (14 enodes) 12.600 * * [simplify]: iters left: 5 (59 enodes) 12.620 * * [simplify]: iters left: 4 (96 enodes) 12.649 * * [simplify]: iters left: 3 (136 enodes) 12.671 * * [simplify]: iters left: 2 (205 enodes) 12.717 * * [simplify]: iters left: 1 (370 enodes) 12.835 * * [simplify]: Extracting #0: cost 1 inf + 0 12.841 * * [simplify]: Extracting #1: cost 5 inf + 0 12.841 * * [simplify]: Extracting #2: cost 7 inf + 1 12.841 * * [simplify]: Extracting #3: cost 31 inf + 1 12.842 * * [simplify]: Extracting #4: cost 103 inf + 2 12.843 * * [simplify]: Extracting #5: cost 150 inf + 218 12.844 * * [simplify]: Extracting #6: cost 149 inf + 478 12.847 * * [simplify]: Extracting #7: cost 93 inf + 8914 12.863 * * [simplify]: Extracting #8: cost 27 inf + 33526 12.888 * * [simplify]: Extracting #9: cost 0 inf + 51357 12.918 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 12.918 * [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)))) 12.919 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 12.919 * * [simplify]: iters left: 6 (13 enodes) 12.926 * * [simplify]: iters left: 5 (54 enodes) 12.944 * * [simplify]: iters left: 4 (87 enodes) 12.965 * * [simplify]: iters left: 3 (128 enodes) 12.986 * * [simplify]: iters left: 2 (197 enodes) 13.054 * * [simplify]: iters left: 1 (354 enodes) 13.196 * * [simplify]: Extracting #0: cost 1 inf + 0 13.196 * * [simplify]: Extracting #1: cost 4 inf + 0 13.196 * * [simplify]: Extracting #2: cost 8 inf + 0 13.196 * * [simplify]: Extracting #3: cost 28 inf + 83 13.197 * * [simplify]: Extracting #4: cost 105 inf + 84 13.198 * * [simplify]: Extracting #5: cost 139 inf + 384 13.200 * * [simplify]: Extracting #6: cost 103 inf + 5239 13.207 * * [simplify]: Extracting #7: cost 50 inf + 20824 13.221 * * [simplify]: Extracting #8: cost 15 inf + 47877 13.242 * * [simplify]: Extracting #9: cost 0 inf + 59693 13.261 * * [simplify]: Extracting #10: cost 0 inf + 59363 13.279 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 13.279 * [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)))) 13.279 * * * * [progress]: [ 89 / 133 ] simplifiying candidate # 13.280 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 13.280 * * [simplify]: iters left: 6 (15 enodes) 13.287 * * [simplify]: iters left: 5 (62 enodes) 13.297 * * [simplify]: iters left: 4 (99 enodes) 13.319 * * [simplify]: iters left: 3 (142 enodes) 13.366 * * [simplify]: iters left: 2 (215 enodes) 13.427 * * [simplify]: iters left: 1 (364 enodes) 13.536 * * [simplify]: Extracting #0: cost 1 inf + 0 13.536 * * [simplify]: Extracting #1: cost 7 inf + 0 13.536 * * [simplify]: Extracting #2: cost 14 inf + 0 13.537 * * [simplify]: Extracting #3: cost 41 inf + 0 13.539 * * [simplify]: Extracting #4: cost 107 inf + 165 13.540 * * [simplify]: Extracting #5: cost 134 inf + 713 13.542 * * [simplify]: Extracting #6: cost 89 inf + 7533 13.547 * * [simplify]: Extracting #7: cost 28 inf + 38261 13.556 * * [simplify]: Extracting #8: cost 0 inf + 60484 13.568 * * [simplify]: Extracting #9: cost 0 inf + 60062 13.586 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 13.586 * [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))))) 13.586 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 13.587 * * [simplify]: iters left: 6 (14 enodes) 13.594 * * [simplify]: iters left: 5 (57 enodes) 13.613 * * [simplify]: iters left: 4 (90 enodes) 13.640 * * [simplify]: iters left: 3 (127 enodes) 13.675 * * [simplify]: iters left: 2 (195 enodes) 13.719 * * [simplify]: iters left: 1 (356 enodes) 13.840 * * [simplify]: Extracting #0: cost 1 inf + 0 13.840 * * [simplify]: Extracting #1: cost 4 inf + 0 13.840 * * [simplify]: Extracting #2: cost 8 inf + 0 13.840 * * [simplify]: Extracting #3: cost 34 inf + 0 13.841 * * [simplify]: Extracting #4: cost 107 inf + 124 13.842 * * [simplify]: Extracting #5: cost 148 inf + 505 13.845 * * [simplify]: Extracting #6: cost 109 inf + 5272 13.853 * * [simplify]: Extracting #7: cost 45 inf + 26887 13.872 * * [simplify]: Extracting #8: cost 6 inf + 58512 13.894 * * [simplify]: Extracting #9: cost 0 inf + 62536 13.915 * * [simplify]: Extracting #10: cost 0 inf + 62032 13.937 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 13.937 * [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))))) 13.937 * * * * [progress]: [ 90 / 133 ] simplifiying candidate # 13.938 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 13.938 * * [simplify]: iters left: 6 (13 enodes) 13.945 * * [simplify]: iters left: 5 (54 enodes) 13.964 * * [simplify]: iters left: 4 (95 enodes) 13.997 * * [simplify]: iters left: 3 (137 enodes) 14.040 * * [simplify]: iters left: 2 (206 enodes) 14.108 * * [simplify]: iters left: 1 (362 enodes) 14.254 * * [simplify]: Extracting #0: cost 1 inf + 0 14.254 * * [simplify]: Extracting #1: cost 5 inf + 0 14.254 * * [simplify]: Extracting #2: cost 7 inf + 1 14.254 * * [simplify]: Extracting #3: cost 32 inf + 1 14.254 * * [simplify]: Extracting #4: cost 110 inf + 2 14.255 * * [simplify]: Extracting #5: cost 158 inf + 176 14.256 * * [simplify]: Extracting #6: cost 151 inf + 644 14.259 * * [simplify]: Extracting #7: cost 91 inf + 10513 14.265 * * [simplify]: Extracting #8: cost 37 inf + 29756 14.277 * * [simplify]: Extracting #9: cost 0 inf + 59764 14.288 * * [simplify]: Extracting #10: cost 0 inf + 58856 14.309 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 14.309 * [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)))) 14.310 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 14.310 * * [simplify]: iters left: 6 (13 enodes) 14.317 * * [simplify]: iters left: 5 (54 enodes) 14.339 * * [simplify]: iters left: 4 (87 enodes) 14.368 * * [simplify]: iters left: 3 (128 enodes) 14.408 * * [simplify]: iters left: 2 (197 enodes) 14.482 * * [simplify]: iters left: 1 (354 enodes) 14.665 * * [simplify]: Extracting #0: cost 1 inf + 0 14.665 * * [simplify]: Extracting #1: cost 4 inf + 0 14.665 * * [simplify]: Extracting #2: cost 8 inf + 0 14.665 * * [simplify]: Extracting #3: cost 28 inf + 83 14.666 * * [simplify]: Extracting #4: cost 105 inf + 84 14.667 * * [simplify]: Extracting #5: cost 139 inf + 384 14.670 * * [simplify]: Extracting #6: cost 103 inf + 5239 14.677 * * [simplify]: Extracting #7: cost 50 inf + 20824 14.690 * * [simplify]: Extracting #8: cost 15 inf + 47877 14.709 * * [simplify]: Extracting #9: cost 0 inf + 59693 14.728 * * [simplify]: Extracting #10: cost 0 inf + 59363 14.750 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 14.750 * [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)))) 14.750 * * * * [progress]: [ 91 / 133 ] simplifiying candidate # 14.750 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 14.751 * * [simplify]: iters left: 6 (15 enodes) 14.759 * * [simplify]: iters left: 5 (62 enodes) 14.780 * * [simplify]: iters left: 4 (98 enodes) 14.810 * * [simplify]: iters left: 3 (134 enodes) 14.851 * * [simplify]: iters left: 2 (202 enodes) 14.924 * * [simplify]: iters left: 1 (362 enodes) 15.065 * * [simplify]: Extracting #0: cost 1 inf + 0 15.065 * * [simplify]: Extracting #1: cost 6 inf + 0 15.065 * * [simplify]: Extracting #2: cost 13 inf + 0 15.065 * * [simplify]: Extracting #3: cost 43 inf + 0 15.066 * * [simplify]: Extracting #4: cost 120 inf + 285 15.067 * * [simplify]: Extracting #5: cost 141 inf + 1984 15.073 * * [simplify]: Extracting #6: cost 72 inf + 21416 15.084 * * [simplify]: Extracting #7: cost 23 inf + 42391 15.096 * * [simplify]: Extracting #8: cost 0 inf + 61728 15.105 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 15.105 * [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))))) 15.105 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 15.105 * * [simplify]: iters left: 6 (14 enodes) 15.110 * * [simplify]: iters left: 5 (57 enodes) 15.125 * * [simplify]: iters left: 4 (91 enodes) 15.153 * * [simplify]: iters left: 3 (127 enodes) 15.191 * * [simplify]: iters left: 2 (195 enodes) 15.245 * * [simplify]: iters left: 1 (354 enodes) 15.389 * * [simplify]: Extracting #0: cost 1 inf + 0 15.389 * * [simplify]: Extracting #1: cost 4 inf + 0 15.389 * * [simplify]: Extracting #2: cost 9 inf + 0 15.389 * * [simplify]: Extracting #3: cost 36 inf + 0 15.390 * * [simplify]: Extracting #4: cost 113 inf + 205 15.392 * * [simplify]: Extracting #5: cost 131 inf + 2415 15.402 * * [simplify]: Extracting #6: cost 45 inf + 33802 15.428 * * [simplify]: Extracting #7: cost 2 inf + 54796 15.445 * * [simplify]: Extracting #8: cost 0 inf + 53175 15.460 * * [simplify]: Extracting #9: cost 0 inf + 52741 15.483 * * [simplify]: Extracting #10: cost 0 inf + 52079 15.511 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 15.511 * [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))))) 15.512 * * * * [progress]: [ 92 / 133 ] simplifiying candidate # 15.512 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) 15.512 * * [simplify]: iters left: 6 (15 enodes) 15.520 * * [simplify]: iters left: 5 (61 enodes) 15.540 * * [simplify]: iters left: 4 (95 enodes) 15.559 * * [simplify]: iters left: 3 (131 enodes) 15.587 * * [simplify]: iters left: 2 (199 enodes) 15.645 * * [simplify]: iters left: 1 (362 enodes) 15.767 * * [simplify]: Extracting #0: cost 1 inf + 0 15.767 * * [simplify]: Extracting #1: cost 4 inf + 0 15.767 * * [simplify]: Extracting #2: cost 10 inf + 0 15.767 * * [simplify]: Extracting #3: cost 41 inf + 0 15.768 * * [simplify]: Extracting #4: cost 124 inf + 325 15.769 * * [simplify]: Extracting #5: cost 146 inf + 2066 15.774 * * [simplify]: Extracting #6: cost 94 inf + 10304 15.786 * * [simplify]: Extracting #7: cost 23 inf + 47402 15.807 * * [simplify]: Extracting #8: cost 0 inf + 67276 15.822 * * [simplify]: Extracting #9: cost 0 inf + 66421 15.832 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) 15.832 * [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))))) 15.833 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 15.833 * * [simplify]: iters left: 6 (14 enodes) 15.837 * * [simplify]: iters left: 5 (57 enodes) 15.847 * * [simplify]: iters left: 4 (91 enodes) 15.864 * * [simplify]: iters left: 3 (127 enodes) 15.904 * * [simplify]: iters left: 2 (195 enodes) 15.957 * * [simplify]: iters left: 1 (354 enodes) 16.092 * * [simplify]: Extracting #0: cost 1 inf + 0 16.093 * * [simplify]: Extracting #1: cost 4 inf + 0 16.093 * * [simplify]: Extracting #2: cost 9 inf + 0 16.093 * * [simplify]: Extracting #3: cost 36 inf + 0 16.093 * * [simplify]: Extracting #4: cost 113 inf + 285 16.094 * * [simplify]: Extracting #5: cost 131 inf + 2495 16.099 * * [simplify]: Extracting #6: cost 45 inf + 33882 16.110 * * [simplify]: Extracting #7: cost 2 inf + 54876 16.131 * * [simplify]: Extracting #8: cost 0 inf + 53255 16.147 * * [simplify]: Extracting #9: cost 0 inf + 52821 16.168 * * [simplify]: Extracting #10: cost 0 inf + 52159 16.187 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 16.187 * [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))))) 16.187 * * * * [progress]: [ 93 / 133 ] simplifiying candidate # 16.187 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.187 * * [simplify]: iters left: 6 (14 enodes) 16.192 * * [simplify]: iters left: 5 (57 enodes) 16.202 * * [simplify]: iters left: 4 (91 enodes) 16.219 * * [simplify]: iters left: 3 (127 enodes) 16.259 * * [simplify]: iters left: 2 (195 enodes) 16.312 * * [simplify]: iters left: 1 (354 enodes) 16.445 * * [simplify]: Extracting #0: cost 1 inf + 0 16.445 * * [simplify]: Extracting #1: cost 4 inf + 0 16.445 * * [simplify]: Extracting #2: cost 9 inf + 0 16.445 * * [simplify]: Extracting #3: cost 36 inf + 0 16.446 * * [simplify]: Extracting #4: cost 113 inf + 165 16.446 * * [simplify]: Extracting #5: cost 131 inf + 2335 16.451 * * [simplify]: Extracting #6: cost 45 inf + 33642 16.467 * * [simplify]: Extracting #7: cost 2 inf + 54636 16.494 * * [simplify]: Extracting #8: cost 0 inf + 53015 16.522 * * [simplify]: Extracting #9: cost 0 inf + 52581 16.551 * * [simplify]: Extracting #10: cost 0 inf + 51919 16.580 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.580 * [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))))) 16.580 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.581 * * [simplify]: iters left: 6 (14 enodes) 16.588 * * [simplify]: iters left: 5 (57 enodes) 16.608 * * [simplify]: iters left: 4 (91 enodes) 16.637 * * [simplify]: iters left: 3 (127 enodes) 16.678 * * [simplify]: iters left: 2 (195 enodes) 16.750 * * [simplify]: iters left: 1 (354 enodes) 16.917 * * [simplify]: Extracting #0: cost 1 inf + 0 16.917 * * [simplify]: Extracting #1: cost 4 inf + 0 16.917 * * [simplify]: Extracting #2: cost 9 inf + 0 16.918 * * [simplify]: Extracting #3: cost 36 inf + 0 16.918 * * [simplify]: Extracting #4: cost 113 inf + 165 16.920 * * [simplify]: Extracting #5: cost 131 inf + 2335 16.930 * * [simplify]: Extracting #6: cost 45 inf + 33642 16.952 * * [simplify]: Extracting #7: cost 2 inf + 54636 16.978 * * [simplify]: Extracting #8: cost 0 inf + 53015 17.007 * * [simplify]: Extracting #9: cost 0 inf + 52581 17.035 * * [simplify]: Extracting #10: cost 0 inf + 51919 17.057 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.057 * [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))))) 17.057 * * * * [progress]: [ 94 / 133 ] simplifiying candidate # 17.057 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 17.057 * * [simplify]: iters left: 6 (13 enodes) 17.064 * * [simplify]: iters left: 5 (54 enodes) 17.073 * * [simplify]: iters left: 4 (88 enodes) 17.092 * * [simplify]: iters left: 3 (127 enodes) 17.112 * * [simplify]: iters left: 2 (196 enodes) 17.188 * * [simplify]: iters left: 1 (362 enodes) 17.308 * * [simplify]: Extracting #0: cost 1 inf + 0 17.308 * * [simplify]: Extracting #1: cost 5 inf + 0 17.308 * * [simplify]: Extracting #2: cost 27 inf + 1 17.309 * * [simplify]: Extracting #3: cost 103 inf + 2 17.310 * * [simplify]: Extracting #4: cost 147 inf + 177 17.311 * * [simplify]: Extracting #5: cost 138 inf + 686 17.315 * * [simplify]: Extracting #6: cost 90 inf + 5192 17.324 * * [simplify]: Extracting #7: cost 29 inf + 34526 17.335 * * [simplify]: Extracting #8: cost 3 inf + 53567 17.344 * * [simplify]: Extracting #9: cost 0 inf + 55996 17.356 * * [simplify]: Extracting #10: cost 0 inf + 55520 17.370 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 17.370 * [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)))) 17.371 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 17.371 * * [simplify]: iters left: 6 (13 enodes) 17.378 * * [simplify]: iters left: 5 (54 enodes) 17.396 * * [simplify]: iters left: 4 (88 enodes) 17.419 * * [simplify]: iters left: 3 (125 enodes) 17.439 * * [simplify]: iters left: 2 (193 enodes) 17.511 * * [simplify]: iters left: 1 (356 enodes) 17.667 * * [simplify]: Extracting #0: cost 1 inf + 0 17.668 * * [simplify]: Extracting #1: cost 4 inf + 0 17.668 * * [simplify]: Extracting #2: cost 9 inf + 0 17.668 * * [simplify]: Extracting #3: cost 32 inf + 1 17.668 * * [simplify]: Extracting #4: cost 105 inf + 84 17.670 * * [simplify]: Extracting #5: cost 125 inf + 1632 17.675 * * [simplify]: Extracting #6: cost 73 inf + 13139 17.693 * * [simplify]: Extracting #7: cost 9 inf + 42244 17.722 * * [simplify]: Extracting #8: cost 0 inf + 47700 17.748 * * [simplify]: Extracting #9: cost 0 inf + 47090 17.774 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 17.774 * [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)))) 17.774 * * * * [progress]: [ 95 / 133 ] simplifiying candidate # 17.775 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.775 * * [simplify]: iters left: 6 (14 enodes) 17.783 * * [simplify]: iters left: 5 (57 enodes) 17.802 * * [simplify]: iters left: 4 (91 enodes) 17.829 * * [simplify]: iters left: 3 (127 enodes) 17.864 * * [simplify]: iters left: 2 (195 enodes) 17.909 * * [simplify]: iters left: 1 (354 enodes) 18.054 * * [simplify]: Extracting #0: cost 1 inf + 0 18.054 * * [simplify]: Extracting #1: cost 4 inf + 0 18.054 * * [simplify]: Extracting #2: cost 9 inf + 0 18.054 * * [simplify]: Extracting #3: cost 36 inf + 0 18.055 * * [simplify]: Extracting #4: cost 113 inf + 165 18.055 * * [simplify]: Extracting #5: cost 131 inf + 2335 18.060 * * [simplify]: Extracting #6: cost 45 inf + 33642 18.072 * * [simplify]: Extracting #7: cost 2 inf + 54636 18.086 * * [simplify]: Extracting #8: cost 0 inf + 53015 18.101 * * [simplify]: Extracting #9: cost 0 inf + 52581 18.116 * * [simplify]: Extracting #10: cost 0 inf + 51919 18.131 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.131 * [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))))) 18.132 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.132 * * [simplify]: iters left: 6 (14 enodes) 18.136 * * [simplify]: iters left: 5 (57 enodes) 18.146 * * [simplify]: iters left: 4 (91 enodes) 18.162 * * [simplify]: iters left: 3 (127 enodes) 18.183 * * [simplify]: iters left: 2 (195 enodes) 18.234 * * [simplify]: iters left: 1 (354 enodes) 18.384 * * [simplify]: Extracting #0: cost 1 inf + 0 18.384 * * [simplify]: Extracting #1: cost 4 inf + 0 18.384 * * [simplify]: Extracting #2: cost 9 inf + 0 18.384 * * [simplify]: Extracting #3: cost 36 inf + 0 18.385 * * [simplify]: Extracting #4: cost 113 inf + 165 18.386 * * [simplify]: Extracting #5: cost 131 inf + 2335 18.396 * * [simplify]: Extracting #6: cost 45 inf + 33642 18.418 * * [simplify]: Extracting #7: cost 2 inf + 54636 18.434 * * [simplify]: Extracting #8: cost 0 inf + 53015 18.449 * * [simplify]: Extracting #9: cost 0 inf + 52581 18.476 * * [simplify]: Extracting #10: cost 0 inf + 51919 18.497 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.497 * [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))))) 18.497 * * * * [progress]: [ 96 / 133 ] simplifiying candidate # 18.497 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 18.497 * * [simplify]: iters left: 6 (12 enodes) 18.501 * * [simplify]: iters left: 5 (49 enodes) 18.509 * * [simplify]: iters left: 4 (83 enodes) 18.523 * * [simplify]: iters left: 3 (124 enodes) 18.549 * * [simplify]: iters left: 2 (197 enodes) 18.600 * * [simplify]: iters left: 1 (352 enodes) 18.761 * * [simplify]: Extracting #0: cost 1 inf + 0 18.761 * * [simplify]: Extracting #1: cost 5 inf + 0 18.761 * * [simplify]: Extracting #2: cost 27 inf + 1 18.762 * * [simplify]: Extracting #3: cost 107 inf + 2 18.763 * * [simplify]: Extracting #4: cost 136 inf + 177 18.764 * * [simplify]: Extracting #5: cost 129 inf + 724 18.768 * * [simplify]: Extracting #6: cost 68 inf + 10028 18.774 * * [simplify]: Extracting #7: cost 27 inf + 32706 18.786 * * [simplify]: Extracting #8: cost 0 inf + 57385 18.795 * * [simplify]: Extracting #9: cost 0 inf + 56670 18.808 * * [simplify]: Extracting #10: cost 0 inf + 56408 18.827 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 18.828 * [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)))) 18.828 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 18.828 * * [simplify]: iters left: 6 (13 enodes) 18.832 * * [simplify]: iters left: 5 (54 enodes) 18.842 * * [simplify]: iters left: 4 (88 enodes) 18.861 * * [simplify]: iters left: 3 (125 enodes) 18.887 * * [simplify]: iters left: 2 (193 enodes) 18.951 * * [simplify]: iters left: 1 (356 enodes) 19.110 * * [simplify]: Extracting #0: cost 1 inf + 0 19.110 * * [simplify]: Extracting #1: cost 4 inf + 0 19.110 * * [simplify]: Extracting #2: cost 9 inf + 0 19.110 * * [simplify]: Extracting #3: cost 32 inf + 1 19.111 * * [simplify]: Extracting #4: cost 105 inf + 84 19.112 * * [simplify]: Extracting #5: cost 125 inf + 1632 19.118 * * [simplify]: Extracting #6: cost 73 inf + 13139 19.135 * * [simplify]: Extracting #7: cost 9 inf + 42244 19.161 * * [simplify]: Extracting #8: cost 0 inf + 47700 19.178 * * [simplify]: Extracting #9: cost 0 inf + 47090 19.192 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 19.192 * [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)))) 19.192 * * * * [progress]: [ 97 / 133 ] simplifiying candidate # 19.192 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.192 * * [simplify]: iters left: 6 (6 enodes) 19.194 * * [simplify]: iters left: 5 (22 enodes) 19.198 * * [simplify]: iters left: 4 (26 enodes) 19.207 * * [simplify]: Extracting #0: cost 1 inf + 0 19.207 * * [simplify]: Extracting #1: cost 6 inf + 0 19.207 * * [simplify]: Extracting #2: cost 9 inf + 1 19.207 * * [simplify]: Extracting #3: cost 11 inf + 1 19.207 * * [simplify]: Extracting #4: cost 8 inf + 84 19.208 * * [simplify]: Extracting #5: cost 2 inf + 1013 19.208 * * [simplify]: Extracting #6: cost 0 inf + 1376 19.208 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.208 * [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))))) 19.209 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 19.209 * * [simplify]: iters left: 6 (13 enodes) 19.216 * * [simplify]: iters left: 5 (54 enodes) 19.235 * * [simplify]: iters left: 4 (89 enodes) 19.268 * * [simplify]: iters left: 3 (136 enodes) 19.312 * * [simplify]: iters left: 2 (221 enodes) 19.369 * * [simplify]: iters left: 1 (444 enodes) 19.597 * * [simplify]: Extracting #0: cost 1 inf + 0 19.597 * * [simplify]: Extracting #1: cost 51 inf + 0 19.598 * * [simplify]: Extracting #2: cost 141 inf + 0 19.600 * * [simplify]: Extracting #3: cost 217 inf + 3 19.602 * * [simplify]: Extracting #4: cost 206 inf + 1256 19.609 * * [simplify]: Extracting #5: cost 128 inf + 22660 19.637 * * [simplify]: Extracting #6: cost 23 inf + 103572 19.658 * * [simplify]: Extracting #7: cost 0 inf + 122695 19.678 * * [simplify]: Extracting #8: cost 0 inf + 120000 19.720 * * [simplify]: Extracting #9: cost 0 inf + 119244 19.758 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 19.758 * [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))))) 19.759 * * * * [progress]: [ 98 / 133 ] simplifiying candidate # 19.759 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 19.759 * * [simplify]: iters left: 6 (6 enodes) 19.762 * * [simplify]: iters left: 5 (21 enodes) 19.765 * * [simplify]: iters left: 4 (23 enodes) 19.769 * * [simplify]: Extracting #0: cost 1 inf + 0 19.769 * * [simplify]: Extracting #1: cost 4 inf + 0 19.769 * * [simplify]: Extracting #2: cost 6 inf + 1 19.769 * * [simplify]: Extracting #3: cost 9 inf + 1 19.769 * * [simplify]: Extracting #4: cost 8 inf + 2 19.769 * * [simplify]: Extracting #5: cost 1 inf + 810 19.769 * * [simplify]: Extracting #6: cost 0 inf + 972 19.769 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 19.769 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 19.770 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 19.770 * * [simplify]: iters left: 6 (13 enodes) 19.773 * * [simplify]: iters left: 5 (54 enodes) 19.783 * * [simplify]: iters left: 4 (89 enodes) 19.802 * * [simplify]: iters left: 3 (136 enodes) 19.829 * * [simplify]: iters left: 2 (221 enodes) 19.914 * * [simplify]: iters left: 1 (444 enodes) 20.158 * * [simplify]: Extracting #0: cost 1 inf + 0 20.159 * * [simplify]: Extracting #1: cost 51 inf + 0 20.163 * * [simplify]: Extracting #2: cost 141 inf + 0 20.165 * * [simplify]: Extracting #3: cost 217 inf + 3 20.167 * * [simplify]: Extracting #4: cost 206 inf + 1296 20.174 * * [simplify]: Extracting #5: cost 128 inf + 22740 20.203 * * [simplify]: Extracting #6: cost 23 inf + 103652 20.231 * * [simplify]: Extracting #7: cost 0 inf + 122775 20.251 * * [simplify]: Extracting #8: cost 0 inf + 120080 20.277 * * [simplify]: Extracting #9: cost 0 inf + 119324 20.301 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 20.301 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 20.301 * * * * [progress]: [ 99 / 133 ] simplifiying candidate # 20.302 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 20.302 * * [simplify]: iters left: 4 (5 enodes) 20.305 * * [simplify]: iters left: 3 (17 enodes) 20.311 * * [simplify]: iters left: 2 (19 enodes) 20.316 * * [simplify]: Extracting #0: cost 1 inf + 0 20.317 * * [simplify]: Extracting #1: cost 4 inf + 0 20.317 * * [simplify]: Extracting #2: cost 5 inf + 1 20.317 * * [simplify]: Extracting #3: cost 7 inf + 1 20.317 * * [simplify]: Extracting #4: cost 0 inf + 490 20.317 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 20.317 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 20.317 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 20.318 * * [simplify]: iters left: 6 (13 enodes) 20.325 * * [simplify]: iters left: 5 (54 enodes) 20.343 * * [simplify]: iters left: 4 (89 enodes) 20.363 * * [simplify]: iters left: 3 (136 enodes) 20.386 * * [simplify]: iters left: 2 (221 enodes) 20.439 * * [simplify]: iters left: 1 (444 enodes) 20.665 * * [simplify]: Extracting #0: cost 1 inf + 0 20.665 * * [simplify]: Extracting #1: cost 51 inf + 0 20.666 * * [simplify]: Extracting #2: cost 141 inf + 0 20.667 * * [simplify]: Extracting #3: cost 217 inf + 3 20.669 * * [simplify]: Extracting #4: cost 206 inf + 1176 20.676 * * [simplify]: Extracting #5: cost 128 inf + 22380 20.693 * * [simplify]: Extracting #6: cost 23 inf + 101172 20.724 * * [simplify]: Extracting #7: cost 0 inf + 119655 20.761 * * [simplify]: Extracting #8: cost 0 inf + 116960 20.799 * * [simplify]: Extracting #9: cost 0 inf + 116204 20.823 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 20.823 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 20.823 * * * * [progress]: [ 100 / 133 ] simplifiying candidate # 20.823 * [simplify]: Simplifying (/ 1 (sqrt 1)) 20.823 * * [simplify]: iters left: 3 (3 enodes) 20.827 * * [simplify]: iters left: 2 (11 enodes) 20.829 * * [simplify]: iters left: 1 (13 enodes) 20.831 * * [simplify]: Extracting #0: cost 1 inf + 0 20.831 * * [simplify]: Extracting #1: cost 0 inf + 1 20.831 * [simplify]: Simplified to 1 20.831 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 20.831 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 20.831 * * [simplify]: iters left: 6 (12 enodes) 20.835 * * [simplify]: iters left: 5 (51 enodes) 20.846 * * [simplify]: iters left: 4 (86 enodes) 20.874 * * [simplify]: iters left: 3 (133 enodes) 20.916 * * [simplify]: iters left: 2 (218 enodes) 20.974 * * [simplify]: iters left: 1 (444 enodes) 21.166 * * [simplify]: Extracting #0: cost 1 inf + 0 21.166 * * [simplify]: Extracting #1: cost 39 inf + 0 21.166 * * [simplify]: Extracting #2: cost 126 inf + 0 21.167 * * [simplify]: Extracting #3: cost 201 inf + 4 21.168 * * [simplify]: Extracting #4: cost 191 inf + 1382 21.172 * * [simplify]: Extracting #5: cost 133 inf + 10319 21.187 * * [simplify]: Extracting #6: cost 56 inf + 58095 21.217 * * [simplify]: Extracting #7: cost 0 inf + 104434 21.239 * * [simplify]: Extracting #8: cost 0 inf + 104433 21.259 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 21.259 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 21.259 * * * * [progress]: [ 101 / 133 ] simplifiying candidate # 21.259 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 21.259 * * [simplify]: iters left: 4 (5 enodes) 21.262 * * [simplify]: iters left: 3 (17 enodes) 21.268 * * [simplify]: iters left: 2 (19 enodes) 21.273 * * [simplify]: Extracting #0: cost 1 inf + 0 21.274 * * [simplify]: Extracting #1: cost 4 inf + 0 21.274 * * [simplify]: Extracting #2: cost 5 inf + 1 21.274 * * [simplify]: Extracting #3: cost 7 inf + 1 21.274 * * [simplify]: Extracting #4: cost 0 inf + 490 21.274 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 21.274 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 21.274 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 21.275 * * [simplify]: iters left: 6 (13 enodes) 21.282 * * [simplify]: iters left: 5 (54 enodes) 21.297 * * [simplify]: iters left: 4 (89 enodes) 21.311 * * [simplify]: iters left: 3 (136 enodes) 21.344 * * [simplify]: iters left: 2 (221 enodes) 21.419 * * [simplify]: iters left: 1 (444 enodes) 21.612 * * [simplify]: Extracting #0: cost 1 inf + 0 21.612 * * [simplify]: Extracting #1: cost 51 inf + 0 21.613 * * [simplify]: Extracting #2: cost 141 inf + 0 21.614 * * [simplify]: Extracting #3: cost 217 inf + 3 21.615 * * [simplify]: Extracting #4: cost 206 inf + 1176 21.618 * * [simplify]: Extracting #5: cost 128 inf + 22380 21.641 * * [simplify]: Extracting #6: cost 23 inf + 101172 21.680 * * [simplify]: Extracting #7: cost 0 inf + 119655 21.699 * * [simplify]: Extracting #8: cost 0 inf + 116960 21.732 * * [simplify]: Extracting #9: cost 0 inf + 116204 21.769 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 21.769 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 21.769 * * * * [progress]: [ 102 / 133 ] simplifiying candidate # 21.770 * [simplify]: Simplifying (/ 1 1) 21.770 * * [simplify]: iters left: 2 (2 enodes) 21.771 * * [simplify]: iters left: 1 (6 enodes) 21.773 * * [simplify]: Extracting #0: cost 1 inf + 0 21.774 * * [simplify]: Extracting #1: cost 0 inf + 1 21.774 * [simplify]: Simplified to 1 21.774 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 21.774 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 21.774 * * [simplify]: iters left: 6 (12 enodes) 21.781 * * [simplify]: iters left: 5 (51 enodes) 21.799 * * [simplify]: iters left: 4 (86 enodes) 21.820 * * [simplify]: iters left: 3 (133 enodes) 21.847 * * [simplify]: iters left: 2 (218 enodes) 21.902 * * [simplify]: iters left: 1 (444 enodes) 22.126 * * [simplify]: Extracting #0: cost 1 inf + 0 22.126 * * [simplify]: Extracting #1: cost 39 inf + 0 22.127 * * [simplify]: Extracting #2: cost 126 inf + 0 22.128 * * [simplify]: Extracting #3: cost 201 inf + 4 22.131 * * [simplify]: Extracting #4: cost 191 inf + 1382 22.136 * * [simplify]: Extracting #5: cost 133 inf + 10319 22.148 * * [simplify]: Extracting #6: cost 56 inf + 58095 22.163 * * [simplify]: Extracting #7: cost 0 inf + 104434 22.179 * * [simplify]: Extracting #8: cost 0 inf + 104433 22.196 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 22.196 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 22.196 * * * * [progress]: [ 103 / 133 ] simplifiying candidate # 22.196 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 22.196 * * [simplify]: iters left: 6 (15 enodes) 22.201 * * [simplify]: iters left: 5 (65 enodes) 22.225 * * [simplify]: iters left: 4 (109 enodes) 22.254 * * [simplify]: iters left: 3 (185 enodes) 22.300 * * [simplify]: iters left: 2 (368 enodes) 22.431 * * [simplify]: Extracting #0: cost 1 inf + 0 22.431 * * [simplify]: Extracting #1: cost 54 inf + 0 22.432 * * [simplify]: Extracting #2: cost 144 inf + 0 22.433 * * [simplify]: Extracting #3: cost 223 inf + 2 22.436 * * [simplify]: Extracting #4: cost 205 inf + 3811 22.444 * * [simplify]: Extracting #5: cost 131 inf + 29200 22.472 * * [simplify]: Extracting #6: cost 16 inf + 109445 22.497 * * [simplify]: Extracting #7: cost 0 inf + 122156 22.515 * * [simplify]: Extracting #8: cost 0 inf + 122025 22.534 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 22.534 * [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))))) 22.534 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))) 22.534 * * [simplify]: iters left: 6 (14 enodes) 22.538 * * [simplify]: iters left: 5 (60 enodes) 22.923 * * [simplify]: iters left: 4 (98 enodes) 22.955 * * [simplify]: iters left: 3 (157 enodes) 23.010 * * [simplify]: iters left: 2 (290 enodes) 23.128 * * [simplify]: Extracting #0: cost 1 inf + 0 23.128 * * [simplify]: Extracting #1: cost 30 inf + 0 23.128 * * [simplify]: Extracting #2: cost 72 inf + 0 23.129 * * [simplify]: Extracting #3: cost 138 inf + 2 23.130 * * [simplify]: Extracting #4: cost 143 inf + 890 23.135 * * [simplify]: Extracting #5: cost 80 inf + 17711 23.149 * * [simplify]: Extracting #6: cost 8 inf + 48515 23.166 * * [simplify]: Extracting #7: cost 0 inf + 53624 23.182 * * [simplify]: Extracting #8: cost 0 inf + 53424 23.193 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 23.194 * [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))))) 23.194 * * * * [progress]: [ 104 / 133 ] simplifiying candidate # 23.194 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) 23.194 * * [simplify]: iters left: 6 (15 enodes) 23.199 * * [simplify]: iters left: 5 (64 enodes) 23.211 * * [simplify]: iters left: 4 (102 enodes) 23.244 * * [simplify]: iters left: 3 (161 enodes) 23.301 * * [simplify]: iters left: 2 (288 enodes) 23.392 * * [simplify]: Extracting #0: cost 1 inf + 0 23.392 * * [simplify]: Extracting #1: cost 30 inf + 0 23.392 * * [simplify]: Extracting #2: cost 73 inf + 0 23.392 * * [simplify]: Extracting #3: cost 138 inf + 2 23.393 * * [simplify]: Extracting #4: cost 143 inf + 389 23.395 * * [simplify]: Extracting #5: cost 103 inf + 4729 23.404 * * [simplify]: Extracting #6: cost 27 inf + 38097 23.419 * * [simplify]: Extracting #7: cost 0 inf + 59534 23.430 * * [simplify]: Extracting #8: cost 0 inf + 59452 23.440 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 23.441 * [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))))) 23.441 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))) 23.441 * * [simplify]: iters left: 6 (14 enodes) 23.445 * * [simplify]: iters left: 5 (60 enodes) 23.458 * * [simplify]: iters left: 4 (98 enodes) 23.487 * * [simplify]: iters left: 3 (157 enodes) 23.519 * * [simplify]: iters left: 2 (290 enodes) 23.609 * * [simplify]: Extracting #0: cost 1 inf + 0 23.609 * * [simplify]: Extracting #1: cost 30 inf + 0 23.610 * * [simplify]: Extracting #2: cost 72 inf + 0 23.610 * * [simplify]: Extracting #3: cost 138 inf + 2 23.612 * * [simplify]: Extracting #4: cost 143 inf + 890 23.615 * * [simplify]: Extracting #5: cost 80 inf + 17791 23.622 * * [simplify]: Extracting #6: cost 8 inf + 48595 23.630 * * [simplify]: Extracting #7: cost 0 inf + 53704 23.642 * * [simplify]: Extracting #8: cost 0 inf + 53504 23.658 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 23.658 * [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))))) 23.658 * * * * [progress]: [ 105 / 133 ] simplifiying candidate # 23.658 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 23.658 * * [simplify]: iters left: 6 (14 enodes) 23.662 * * [simplify]: iters left: 5 (60 enodes) 23.672 * * [simplify]: iters left: 4 (98 enodes) 23.688 * * [simplify]: iters left: 3 (157 enodes) 23.724 * * [simplify]: iters left: 2 (290 enodes) 23.791 * * [simplify]: Extracting #0: cost 1 inf + 0 23.791 * * [simplify]: Extracting #1: cost 30 inf + 0 23.791 * * [simplify]: Extracting #2: cost 72 inf + 0 23.792 * * [simplify]: Extracting #3: cost 138 inf + 2 23.793 * * [simplify]: Extracting #4: cost 143 inf + 890 23.796 * * [simplify]: Extracting #5: cost 80 inf + 17431 23.803 * * [simplify]: Extracting #6: cost 8 inf + 47315 23.815 * * [simplify]: Extracting #7: cost 0 inf + 52144 23.824 * * [simplify]: Extracting #8: cost 0 inf + 51944 23.835 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 23.835 * [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))))) 23.836 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 23.836 * * [simplify]: iters left: 6 (14 enodes) 23.844 * * [simplify]: iters left: 5 (60 enodes) 23.854 * * [simplify]: iters left: 4 (98 enodes) 23.871 * * [simplify]: iters left: 3 (157 enodes) 23.902 * * [simplify]: iters left: 2 (290 enodes) 23.988 * * [simplify]: Extracting #0: cost 1 inf + 0 23.988 * * [simplify]: Extracting #1: cost 30 inf + 0 23.989 * * [simplify]: Extracting #2: cost 72 inf + 0 23.989 * * [simplify]: Extracting #3: cost 138 inf + 2 23.991 * * [simplify]: Extracting #4: cost 143 inf + 890 23.996 * * [simplify]: Extracting #5: cost 80 inf + 17431 24.009 * * [simplify]: Extracting #6: cost 8 inf + 47315 24.030 * * [simplify]: Extracting #7: cost 0 inf + 52144 24.046 * * [simplify]: Extracting #8: cost 0 inf + 51944 24.063 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 24.064 * [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))))) 24.064 * * * * [progress]: [ 106 / 133 ] simplifiying candidate # 24.064 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 24.064 * * [simplify]: iters left: 6 (13 enodes) 24.074 * * [simplify]: iters left: 5 (57 enodes) 24.087 * * [simplify]: iters left: 4 (93 enodes) 24.103 * * [simplify]: iters left: 3 (148 enodes) 24.153 * * [simplify]: iters left: 2 (271 enodes) 24.228 * * [simplify]: iters left: 1 (497 enodes) 24.448 * * [simplify]: Extracting #0: cost 1 inf + 0 24.449 * * [simplify]: Extracting #1: cost 54 inf + 0 24.449 * * [simplify]: Extracting #2: cost 165 inf + 2 24.450 * * [simplify]: Extracting #3: cost 238 inf + 220 24.451 * * [simplify]: Extracting #4: cost 231 inf + 855 24.455 * * [simplify]: Extracting #5: cost 139 inf + 14771 24.473 * * [simplify]: Extracting #6: cost 27 inf + 65033 24.503 * * [simplify]: Extracting #7: cost 0 inf + 84937 24.527 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 24.527 * [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)))) 24.527 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 24.527 * * [simplify]: iters left: 6 (13 enodes) 24.531 * * [simplify]: iters left: 5 (57 enodes) 24.542 * * [simplify]: iters left: 4 (95 enodes) 24.564 * * [simplify]: iters left: 3 (154 enodes) 24.597 * * [simplify]: iters left: 2 (287 enodes) 24.681 * * [simplify]: Extracting #0: cost 1 inf + 0 24.681 * * [simplify]: Extracting #1: cost 30 inf + 0 24.682 * * [simplify]: Extracting #2: cost 73 inf + 0 24.682 * * [simplify]: Extracting #3: cost 136 inf + 3 24.684 * * [simplify]: Extracting #4: cost 130 inf + 1385 24.689 * * [simplify]: Extracting #5: cost 76 inf + 14535 24.700 * * [simplify]: Extracting #6: cost 5 inf + 50457 24.716 * * [simplify]: Extracting #7: cost 0 inf + 54374 24.728 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 24.728 * [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)))) 24.728 * * * * [progress]: [ 107 / 133 ] simplifiying candidate # 24.728 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 24.729 * * [simplify]: iters left: 6 (14 enodes) 24.733 * * [simplify]: iters left: 5 (60 enodes) 24.744 * * [simplify]: iters left: 4 (98 enodes) 24.760 * * [simplify]: iters left: 3 (157 enodes) 24.816 * * [simplify]: iters left: 2 (290 enodes) 24.919 * * [simplify]: Extracting #0: cost 1 inf + 0 24.919 * * [simplify]: Extracting #1: cost 30 inf + 0 24.920 * * [simplify]: Extracting #2: cost 72 inf + 0 24.920 * * [simplify]: Extracting #3: cost 138 inf + 2 24.921 * * [simplify]: Extracting #4: cost 143 inf + 890 24.923 * * [simplify]: Extracting #5: cost 80 inf + 17431 24.932 * * [simplify]: Extracting #6: cost 8 inf + 47315 24.951 * * [simplify]: Extracting #7: cost 0 inf + 52144 24.972 * * [simplify]: Extracting #8: cost 0 inf + 51944 24.989 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 24.989 * [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))))) 24.989 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 24.990 * * [simplify]: iters left: 6 (14 enodes) 24.998 * * [simplify]: iters left: 5 (60 enodes) 25.017 * * [simplify]: iters left: 4 (98 enodes) 25.033 * * [simplify]: iters left: 3 (157 enodes) 25.077 * * [simplify]: iters left: 2 (290 enodes) 25.165 * * [simplify]: Extracting #0: cost 1 inf + 0 25.165 * * [simplify]: Extracting #1: cost 30 inf + 0 25.165 * * [simplify]: Extracting #2: cost 72 inf + 0 25.166 * * [simplify]: Extracting #3: cost 138 inf + 2 25.167 * * [simplify]: Extracting #4: cost 143 inf + 890 25.172 * * [simplify]: Extracting #5: cost 80 inf + 17431 25.186 * * [simplify]: Extracting #6: cost 8 inf + 47315 25.205 * * [simplify]: Extracting #7: cost 0 inf + 52144 25.222 * * [simplify]: Extracting #8: cost 0 inf + 51944 25.238 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 25.238 * [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))))) 25.239 * * * * [progress]: [ 108 / 133 ] simplifiying candidate # 25.239 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 25.239 * * [simplify]: iters left: 6 (12 enodes) 25.247 * * [simplify]: iters left: 5 (52 enodes) 25.265 * * [simplify]: iters left: 4 (90 enodes) 25.280 * * [simplify]: iters left: 3 (151 enodes) 25.324 * * [simplify]: iters left: 2 (287 enodes) 25.445 * * [simplify]: Extracting #0: cost 1 inf + 0 25.445 * * [simplify]: Extracting #1: cost 31 inf + 0 25.446 * * [simplify]: Extracting #2: cost 99 inf + 2 25.447 * * [simplify]: Extracting #3: cost 141 inf + 219 25.448 * * [simplify]: Extracting #4: cost 139 inf + 807 25.451 * * [simplify]: Extracting #5: cost 85 inf + 6440 25.458 * * [simplify]: Extracting #6: cost 41 inf + 22533 25.470 * * [simplify]: Extracting #7: cost 3 inf + 47776 25.477 * * [simplify]: Extracting #8: cost 0 inf + 50387 25.484 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 25.485 * [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)))) 25.485 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 25.485 * * [simplify]: iters left: 6 (13 enodes) 25.489 * * [simplify]: iters left: 5 (57 enodes) 25.499 * * [simplify]: iters left: 4 (95 enodes) 25.515 * * [simplify]: iters left: 3 (154 enodes) 25.545 * * [simplify]: iters left: 2 (287 enodes) 25.620 * * [simplify]: Extracting #0: cost 1 inf + 0 25.620 * * [simplify]: Extracting #1: cost 30 inf + 0 25.620 * * [simplify]: Extracting #2: cost 73 inf + 0 25.620 * * [simplify]: Extracting #3: cost 136 inf + 3 25.621 * * [simplify]: Extracting #4: cost 130 inf + 1385 25.624 * * [simplify]: Extracting #5: cost 76 inf + 14535 25.632 * * [simplify]: Extracting #6: cost 5 inf + 50457 25.639 * * [simplify]: Extracting #7: cost 0 inf + 54374 25.647 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 25.647 * [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)))) 25.647 * * * * [progress]: [ 109 / 133 ] simplifiying candidate # 25.647 * * * * [progress]: [ 110 / 133 ] simplifiying candidate # 25.647 * * * * [progress]: [ 111 / 133 ] simplifiying candidate # 25.647 * * * * [progress]: [ 112 / 133 ] simplifiying candidate # 25.647 * [simplify]: Simplifying (cbrt (sqrt k)) 25.647 * * [simplify]: iters left: 2 (3 enodes) 25.648 * * [simplify]: iters left: 1 (9 enodes) 25.649 * * [simplify]: Extracting #0: cost 1 inf + 0 25.649 * * [simplify]: Extracting #1: cost 3 inf + 0 25.649 * * [simplify]: Extracting #2: cost 5 inf + 0 25.649 * * [simplify]: Extracting #3: cost 4 inf + 1 25.650 * * [simplify]: Extracting #4: cost 0 inf + 325 25.650 * [simplify]: Simplified to (cbrt (sqrt k)) 25.650 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 25.650 * * * * [progress]: [ 113 / 133 ] simplifiying candidate # 25.650 * [simplify]: Simplifying (sqrt (cbrt k)) 25.650 * * [simplify]: iters left: 2 (3 enodes) 25.650 * * [simplify]: iters left: 1 (9 enodes) 25.652 * * [simplify]: Extracting #0: cost 1 inf + 0 25.652 * * [simplify]: Extracting #1: cost 3 inf + 0 25.652 * * [simplify]: Extracting #2: cost 5 inf + 0 25.652 * * [simplify]: Extracting #3: cost 4 inf + 1 25.652 * * [simplify]: Extracting #4: cost 0 inf + 405 25.652 * [simplify]: Simplified to (sqrt (cbrt k)) 25.652 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) 25.652 * * * * [progress]: [ 114 / 133 ] simplifiying candidate # 25.652 * [simplify]: Simplifying (sqrt (sqrt k)) 25.652 * * [simplify]: iters left: 2 (3 enodes) 25.653 * * [simplify]: iters left: 1 (9 enodes) 25.655 * * [simplify]: Extracting #0: cost 1 inf + 0 25.655 * * [simplify]: Extracting #1: cost 3 inf + 0 25.655 * * [simplify]: Extracting #2: cost 5 inf + 0 25.655 * * [simplify]: Extracting #3: cost 4 inf + 1 25.655 * * [simplify]: Extracting #4: cost 0 inf + 245 25.655 * [simplify]: Simplified to (sqrt (sqrt k)) 25.655 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 25.656 * * * * [progress]: [ 115 / 133 ] simplifiying candidate # 25.656 * [simplify]: Simplifying (sqrt k) 25.656 * * [simplify]: iters left: 1 (2 enodes) 25.657 * * [simplify]: Extracting #0: cost 1 inf + 0 25.657 * * [simplify]: Extracting #1: cost 3 inf + 0 25.657 * * [simplify]: Extracting #2: cost 2 inf + 1 25.657 * * [simplify]: Extracting #3: cost 0 inf + 83 25.657 * [simplify]: Simplified to (sqrt k) 25.657 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k))) 25.657 * * * * [progress]: [ 116 / 133 ] simplifiying candidate # 25.657 * [simplify]: Simplifying (sqrt (sqrt k)) 25.657 * * [simplify]: iters left: 2 (3 enodes) 25.659 * * [simplify]: iters left: 1 (9 enodes) 25.661 * * [simplify]: Extracting #0: cost 1 inf + 0 25.661 * * [simplify]: Extracting #1: cost 3 inf + 0 25.661 * * [simplify]: Extracting #2: cost 5 inf + 0 25.661 * * [simplify]: Extracting #3: cost 4 inf + 1 25.661 * * [simplify]: Extracting #4: cost 0 inf + 245 25.661 * [simplify]: Simplified to (sqrt (sqrt k)) 25.661 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 25.662 * * * * [progress]: [ 117 / 133 ] simplifiying candidate # 25.662 * [simplify]: Simplifying (sqrt k) 25.662 * * [simplify]: iters left: 1 (2 enodes) 25.663 * * [simplify]: Extracting #0: cost 1 inf + 0 25.663 * * [simplify]: Extracting #1: cost 3 inf + 0 25.663 * * [simplify]: Extracting #2: cost 2 inf + 1 25.663 * * [simplify]: Extracting #3: cost 0 inf + 83 25.663 * [simplify]: Simplified to (sqrt k) 25.663 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k))) 25.663 * * * * [progress]: [ 118 / 133 ] simplifiying candidate # 25.663 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 25.663 * * [simplify]: iters left: 5 (7 enodes) 25.668 * * [simplify]: iters left: 4 (32 enodes) 25.681 * * [simplify]: iters left: 3 (57 enodes) 25.691 * * [simplify]: iters left: 2 (88 enodes) 25.707 * * [simplify]: iters left: 1 (156 enodes) 25.743 * * [simplify]: Extracting #0: cost 1 inf + 0 25.743 * * [simplify]: Extracting #1: cost 13 inf + 0 25.743 * * [simplify]: Extracting #2: cost 49 inf + 2 25.744 * * [simplify]: Extracting #3: cost 80 inf + 6 25.744 * * [simplify]: Extracting #4: cost 58 inf + 1840 25.746 * * [simplify]: Extracting #5: cost 22 inf + 9206 25.749 * * [simplify]: Extracting #6: cost 1 inf + 20886 25.752 * * [simplify]: Extracting #7: cost 0 inf + 21301 25.755 * * [simplify]: Extracting #8: cost 0 inf + 21130 25.758 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 25.758 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 25.758 * * * * [progress]: [ 119 / 133 ] simplifiying candidate # 25.758 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 25.758 * * [simplify]: iters left: 6 (12 enodes) 25.762 * * [simplify]: iters left: 5 (51 enodes) 25.771 * * [simplify]: iters left: 4 (84 enodes) 25.792 * * [simplify]: iters left: 3 (125 enodes) 25.834 * * [simplify]: iters left: 2 (198 enodes) 25.869 * * [simplify]: iters left: 1 (353 enodes) 25.974 * * [simplify]: Extracting #0: cost 1 inf + 0 25.974 * * [simplify]: Extracting #1: cost 3 inf + 0 25.974 * * [simplify]: Extracting #2: cost 5 inf + 0 25.975 * * [simplify]: Extracting #3: cost 28 inf + 0 25.975 * * [simplify]: Extracting #4: cost 101 inf + 1 25.975 * * [simplify]: Extracting #5: cost 136 inf + 176 25.976 * * [simplify]: Extracting #6: cost 126 inf + 1348 25.978 * * [simplify]: Extracting #7: cost 70 inf + 12457 25.986 * * [simplify]: Extracting #8: cost 19 inf + 42176 26.005 * * [simplify]: Extracting #9: cost 0 inf + 57297 26.025 * * [simplify]: Extracting #10: cost 0 inf + 56855 26.044 * * [simplify]: Extracting #11: cost 0 inf + 56816 26.058 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 26.058 * [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)))))) 26.059 * * * * [progress]: [ 120 / 133 ] simplifiying candidate # 26.059 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 26.059 * * [simplify]: iters left: 6 (11 enodes) 26.062 * * [simplify]: iters left: 5 (48 enodes) 26.071 * * [simplify]: iters left: 4 (78 enodes) 26.090 * * [simplify]: iters left: 3 (120 enodes) 26.134 * * [simplify]: iters left: 2 (211 enodes) 26.194 * * [simplify]: iters left: 1 (380 enodes) 26.337 * * [simplify]: Extracting #0: cost 1 inf + 0 26.337 * * [simplify]: Extracting #1: cost 4 inf + 0 26.337 * * [simplify]: Extracting #2: cost 29 inf + 0 26.338 * * [simplify]: Extracting #3: cost 113 inf + 1 26.339 * * [simplify]: Extracting #4: cost 155 inf + 220 26.341 * * [simplify]: Extracting #5: cost 153 inf + 561 26.343 * * [simplify]: Extracting #6: cost 121 inf + 2833 26.349 * * [simplify]: Extracting #7: cost 68 inf + 14038 26.364 * * [simplify]: Extracting #8: cost 15 inf + 50044 26.385 * * [simplify]: Extracting #9: cost 0 inf + 59395 26.406 * * [simplify]: Extracting #10: cost 0 inf + 59194 26.430 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 26.430 * [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)))))) 26.430 * * * * [progress]: [ 121 / 133 ] simplifiying candidate # 26.430 * * * * [progress]: [ 122 / 133 ] simplifiying candidate # 26.431 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 26.431 * * [simplify]: iters left: 6 (11 enodes) 26.438 * * [simplify]: iters left: 5 (51 enodes) 26.456 * * [simplify]: iters left: 4 (87 enodes) 26.485 * * [simplify]: iters left: 3 (143 enodes) 26.536 * * [simplify]: iters left: 2 (259 enodes) 26.636 * * [simplify]: iters left: 1 (469 enodes) 26.844 * * [simplify]: Extracting #0: cost 1 inf + 0 26.844 * * [simplify]: Extracting #1: cost 24 inf + 0 26.844 * * [simplify]: Extracting #2: cost 110 inf + 1 26.845 * * [simplify]: Extracting #3: cost 192 inf + 178 26.846 * * [simplify]: Extracting #4: cost 178 inf + 1845 26.850 * * [simplify]: Extracting #5: cost 89 inf + 12477 26.866 * * [simplify]: Extracting #6: cost 41 inf + 28219 26.886 * * [simplify]: Extracting #7: cost 4 inf + 58625 26.900 * * [simplify]: Extracting #8: cost 0 inf + 62670 26.910 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 26.910 * [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))))) 26.911 * * * * [progress]: [ 123 / 133 ] simplifiying candidate # 26.911 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 26.911 * * [simplify]: iters left: 5 (8 enodes) 26.914 * * [simplify]: iters left: 4 (35 enodes) 26.921 * * [simplify]: iters left: 3 (63 enodes) 26.934 * * [simplify]: iters left: 2 (108 enodes) 26.957 * * [simplify]: iters left: 1 (162 enodes) 27.009 * * [simplify]: Extracting #0: cost 1 inf + 0 27.009 * * [simplify]: Extracting #1: cost 12 inf + 0 27.009 * * [simplify]: Extracting #2: cost 40 inf + 2 27.010 * * [simplify]: Extracting #3: cost 40 inf + 9 27.010 * * [simplify]: Extracting #4: cost 25 inf + 2233 27.011 * * [simplify]: Extracting #5: cost 10 inf + 8991 27.012 * * [simplify]: Extracting #6: cost 0 inf + 14572 27.014 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 27.014 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2))))) 27.014 * * * * [progress]: [ 124 / 133 ] simplifiying candidate #real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))> 27.014 * * * * [progress]: [ 125 / 133 ] simplifiying candidate # 27.014 * [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))))) 27.015 * * [simplify]: iters left: 6 (37 enodes) 27.026 * * [simplify]: iters left: 5 (190 enodes) 27.085 * * [simplify]: Extracting #0: cost 1 inf + 0 27.085 * * [simplify]: Extracting #1: cost 22 inf + 0 27.085 * * [simplify]: Extracting #2: cost 108 inf + 1 27.086 * * [simplify]: Extracting #3: cost 171 inf + 46 27.086 * * [simplify]: Extracting #4: cost 189 inf + 427 27.089 * * [simplify]: Extracting #5: cost 128 inf + 16032 27.097 * * [simplify]: Extracting #6: cost 29 inf + 57153 27.118 * * [simplify]: Extracting #7: cost 4 inf + 75884 27.139 * * [simplify]: Extracting #8: cost 0 inf + 78767 27.156 * [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))) 27.156 * [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))) 27.156 * * * * [progress]: [ 126 / 133 ] simplifiying candidate # 27.156 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 27.156 * * [simplify]: iters left: 6 (15 enodes) 27.165 * * [simplify]: iters left: 5 (65 enodes) 27.191 * * [simplify]: iters left: 4 (123 enodes) 27.246 * * [simplify]: iters left: 3 (367 enodes) 27.454 * * [simplify]: Extracting #0: cost 1 inf + 0 27.454 * * [simplify]: Extracting #1: cost 37 inf + 0 27.454 * * [simplify]: Extracting #2: cost 216 inf + 72 27.456 * * [simplify]: Extracting #3: cost 356 inf + 1622 27.460 * * [simplify]: Extracting #4: cost 219 inf + 28945 27.474 * * [simplify]: Extracting #5: cost 21 inf + 83197 27.489 * * [simplify]: Extracting #6: cost 0 inf + 89881 27.508 * * [simplify]: Extracting #7: cost 0 inf + 89729 27.525 * * [simplify]: Extracting #8: cost 0 inf + 89726 27.541 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 27.541 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k))) 27.541 * * * * [progress]: [ 127 / 133 ] simplifiying candidate # 27.541 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 27.541 * * [simplify]: iters left: 6 (16 enodes) 27.547 * * [simplify]: iters left: 5 (67 enodes) 27.560 * * [simplify]: iters left: 4 (134 enodes) 27.603 * * [simplify]: iters left: 3 (413 enodes) 27.806 * * [simplify]: Extracting #0: cost 1 inf + 0 27.806 * * [simplify]: Extracting #1: cost 39 inf + 0 27.806 * * [simplify]: Extracting #2: cost 241 inf + 72 27.808 * * [simplify]: Extracting #3: cost 450 inf + 903 27.811 * * [simplify]: Extracting #4: cost 376 inf + 10375 27.822 * * [simplify]: Extracting #5: cost 158 inf + 67083 27.846 * * [simplify]: Extracting #6: cost 12 inf + 118840 27.883 * * [simplify]: Extracting #7: cost 0 inf + 121984 27.906 * * [simplify]: Extracting #8: cost 0 inf + 121983 27.947 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 27.947 * [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))) 27.947 * * * * [progress]: [ 128 / 133 ] simplifiying candidate # 27.948 * [simplify]: Simplifying (* 2 (* n PI)) 27.948 * * [simplify]: iters left: 4 (5 enodes) 27.951 * * [simplify]: iters left: 3 (19 enodes) 27.957 * * [simplify]: iters left: 2 (27 enodes) 27.961 * * [simplify]: iters left: 1 (32 enodes) 27.965 * * [simplify]: Extracting #0: cost 1 inf + 0 27.965 * * [simplify]: Extracting #1: cost 8 inf + 0 27.965 * * [simplify]: Extracting #2: cost 7 inf + 45 27.965 * * [simplify]: Extracting #3: cost 0 inf + 421 27.965 * [simplify]: Simplified to (* (* PI n) 2) 27.965 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 27.965 * * * * [progress]: [ 129 / 133 ] simplifiying candidate # 27.965 * [simplify]: Simplifying (* 2 (* n PI)) 27.965 * * [simplify]: iters left: 4 (5 enodes) 27.967 * * [simplify]: iters left: 3 (19 enodes) 27.970 * * [simplify]: iters left: 2 (27 enodes) 27.975 * * [simplify]: iters left: 1 (32 enodes) 27.979 * * [simplify]: Extracting #0: cost 1 inf + 0 27.979 * * [simplify]: Extracting #1: cost 8 inf + 0 27.979 * * [simplify]: Extracting #2: cost 7 inf + 45 27.979 * * [simplify]: Extracting #3: cost 0 inf + 421 27.979 * [simplify]: Simplified to (* (* PI n) 2) 27.979 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 27.980 * * * * [progress]: [ 130 / 133 ] simplifiying candidate # 27.980 * [simplify]: Simplifying (* 2 (* n PI)) 27.980 * * [simplify]: iters left: 4 (5 enodes) 27.981 * * [simplify]: iters left: 3 (19 enodes) 27.984 * * [simplify]: iters left: 2 (27 enodes) 27.988 * * [simplify]: iters left: 1 (32 enodes) 27.993 * * [simplify]: Extracting #0: cost 1 inf + 0 27.993 * * [simplify]: Extracting #1: cost 8 inf + 0 27.993 * * [simplify]: Extracting #2: cost 7 inf + 45 27.993 * * [simplify]: Extracting #3: cost 0 inf + 421 27.993 * [simplify]: Simplified to (* (* PI n) 2) 27.993 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 27.993 * * * * [progress]: [ 131 / 133 ] simplifiying candidate # 27.994 * [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)))))))))))))))))))))) 27.994 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 27.994 * * * * [progress]: [ 132 / 133 ] simplifiying candidate # 27.994 * [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)))))))) 27.994 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 27.994 * * * * [progress]: [ 133 / 133 ] simplifiying candidate # 27.994 * [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)))))))))))) 27.994 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 27.995 * * * [progress]: adding candidates to table 29.457 * * [progress]: iteration 2 / 4 29.457 * * * [progress]: picking best candidate 29.519 * * * * [pick]: Picked # 29.519 * * * [progress]: localizing error 29.582 * * * [progress]: generating rewritten candidates 29.582 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 29.606 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 29.617 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 29.636 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 29.653 * * * [progress]: generating series expansions 29.653 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 29.654 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) into (pow (* 2 (* n PI)) (+ (sqrt k) 1)) 29.654 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in (n k) around 0 29.654 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 29.654 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 29.654 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 29.654 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 29.654 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.654 * [taylor]: Taking taylor expansion of k in k 29.654 * [backup-simplify]: Simplify 0 into 0 29.654 * [backup-simplify]: Simplify 1 into 1 29.655 * [backup-simplify]: Simplify (sqrt 0) into 0 29.656 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.656 * [taylor]: Taking taylor expansion of 1 in k 29.656 * [backup-simplify]: Simplify 1 into 1 29.656 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 29.656 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 29.656 * [taylor]: Taking taylor expansion of 2 in k 29.656 * [backup-simplify]: Simplify 2 into 2 29.656 * [taylor]: Taking taylor expansion of (* n PI) in k 29.656 * [taylor]: Taking taylor expansion of n in k 29.656 * [backup-simplify]: Simplify n into n 29.656 * [taylor]: Taking taylor expansion of PI in k 29.656 * [backup-simplify]: Simplify PI into PI 29.656 * [backup-simplify]: Simplify (* n PI) into (* n PI) 29.656 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 29.656 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 29.657 * [backup-simplify]: Simplify (+ 0 1) into 1 29.657 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 29.657 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 29.657 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 29.657 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 29.657 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 29.657 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 29.657 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.657 * [taylor]: Taking taylor expansion of k in n 29.657 * [backup-simplify]: Simplify k into k 29.657 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.657 * [taylor]: Taking taylor expansion of 1 in n 29.657 * [backup-simplify]: Simplify 1 into 1 29.657 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.657 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.657 * [taylor]: Taking taylor expansion of 2 in n 29.657 * [backup-simplify]: Simplify 2 into 2 29.657 * [taylor]: Taking taylor expansion of (* n PI) in n 29.657 * [taylor]: Taking taylor expansion of n in n 29.657 * [backup-simplify]: Simplify 0 into 0 29.657 * [backup-simplify]: Simplify 1 into 1 29.657 * [taylor]: Taking taylor expansion of PI in n 29.657 * [backup-simplify]: Simplify PI into PI 29.657 * [backup-simplify]: Simplify (* 0 PI) into 0 29.658 * [backup-simplify]: Simplify (* 2 0) into 0 29.658 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.659 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.660 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.660 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 29.661 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.661 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 29.662 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 29.662 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 29.662 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 29.662 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 29.662 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 29.662 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.662 * [taylor]: Taking taylor expansion of k in n 29.662 * [backup-simplify]: Simplify k into k 29.662 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.662 * [taylor]: Taking taylor expansion of 1 in n 29.662 * [backup-simplify]: Simplify 1 into 1 29.662 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.662 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.662 * [taylor]: Taking taylor expansion of 2 in n 29.662 * [backup-simplify]: Simplify 2 into 2 29.662 * [taylor]: Taking taylor expansion of (* n PI) in n 29.662 * [taylor]: Taking taylor expansion of n in n 29.662 * [backup-simplify]: Simplify 0 into 0 29.662 * [backup-simplify]: Simplify 1 into 1 29.662 * [taylor]: Taking taylor expansion of PI in n 29.663 * [backup-simplify]: Simplify PI into PI 29.663 * [backup-simplify]: Simplify (* 0 PI) into 0 29.663 * [backup-simplify]: Simplify (* 2 0) into 0 29.664 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.670 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.671 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.671 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 29.672 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.673 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 29.674 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 29.675 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) in k 29.675 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) in k 29.675 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 29.675 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.675 * [taylor]: Taking taylor expansion of k in k 29.675 * [backup-simplify]: Simplify 0 into 0 29.675 * [backup-simplify]: Simplify 1 into 1 29.675 * [backup-simplify]: Simplify (sqrt 0) into 0 29.676 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.677 * [taylor]: Taking taylor expansion of 1 in k 29.677 * [backup-simplify]: Simplify 1 into 1 29.677 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 29.677 * [taylor]: Taking taylor expansion of (log n) in k 29.677 * [taylor]: Taking taylor expansion of n in k 29.677 * [backup-simplify]: Simplify n into n 29.677 * [backup-simplify]: Simplify (log n) into (log n) 29.677 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.677 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.677 * [taylor]: Taking taylor expansion of 2 in k 29.677 * [backup-simplify]: Simplify 2 into 2 29.677 * [taylor]: Taking taylor expansion of PI in k 29.677 * [backup-simplify]: Simplify PI into PI 29.677 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.678 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.679 * [backup-simplify]: Simplify (+ 0 1) into 1 29.680 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.681 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 29.682 * [backup-simplify]: Simplify (exp (+ (log n) (log (* 2 PI)))) into (exp (+ (log n) (log (* 2 PI)))) 29.683 * [backup-simplify]: Simplify (exp (+ (log n) (log (* 2 PI)))) into (exp (+ (log n) (log (* 2 PI)))) 29.684 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.685 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 29.687 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.687 * [backup-simplify]: Simplify (+ 0 0) into 0 29.688 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.689 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 29.691 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.691 * [taylor]: Taking taylor expansion of 0 in k 29.691 * [backup-simplify]: Simplify 0 into 0 29.691 * [backup-simplify]: Simplify 0 into 0 29.692 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 29.693 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.695 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.695 * [backup-simplify]: Simplify (+ 0 0) into 0 29.696 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.697 * [backup-simplify]: Simplify (+ (* 1 0) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 29.701 * [backup-simplify]: Simplify (* (exp (+ (log n) (log (* 2 PI)))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI)))))) 29.705 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI)))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI))))) 29.707 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 29.708 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 29.712 * [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 29.713 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 29.713 * [backup-simplify]: Simplify (+ 0 0) into 0 29.715 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.716 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.719 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.719 * [taylor]: Taking taylor expansion of 0 in k 29.719 * [backup-simplify]: Simplify 0 into 0 29.719 * [backup-simplify]: Simplify 0 into 0 29.719 * [backup-simplify]: Simplify 0 into 0 29.720 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 29.722 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.725 * [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 29.726 * [backup-simplify]: Simplify (+ 0 0) into 0 29.729 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.729 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 29.736 * [backup-simplify]: Simplify (* (exp (+ (log n) (log (* 2 PI)))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (+ (log n) (log (* 2 PI)))))) 29.742 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (+ (log n) (log (* 2 PI)))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (+ (log n) (log (* 2 PI))))) 29.757 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (+ (log n) (log (* 2 PI))))) (pow (* k 1) 2)) (+ (* (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI))))) (* k 1)) (exp (+ (log n) (log (* 2 PI)))))) into (- (exp (+ (log n) (log (* 2 PI)))) (+ (* +nan.0 (* k (* (exp (+ (log n) (log (* 2 PI)))) (log (* 2 PI))))) (- (+ (* +nan.0 (* k (* (log n) (exp (+ (log n) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (log n) (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2))))) (- (+ (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (pow (log n) 2) (pow k 2))))))))))))))))) 29.757 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 k))) 1)) into (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) 29.757 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in (n k) around 0 29.758 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 29.758 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 29.758 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 29.758 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 29.758 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.758 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.758 * [taylor]: Taking taylor expansion of k in k 29.758 * [backup-simplify]: Simplify 0 into 0 29.758 * [backup-simplify]: Simplify 1 into 1 29.758 * [backup-simplify]: Simplify (/ 1 1) into 1 29.758 * [backup-simplify]: Simplify (sqrt 0) into 0 29.760 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.760 * [taylor]: Taking taylor expansion of 1 in k 29.760 * [backup-simplify]: Simplify 1 into 1 29.760 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 29.760 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 29.760 * [taylor]: Taking taylor expansion of 2 in k 29.760 * [backup-simplify]: Simplify 2 into 2 29.760 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.760 * [taylor]: Taking taylor expansion of PI in k 29.760 * [backup-simplify]: Simplify PI into PI 29.760 * [taylor]: Taking taylor expansion of n in k 29.760 * [backup-simplify]: Simplify n into n 29.760 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.760 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 29.760 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 29.761 * [backup-simplify]: Simplify (+ 0 0) into 0 29.761 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 29.761 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 29.761 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 29.762 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 29.763 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 29.764 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 29.764 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 29.764 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 29.764 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 29.764 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 29.764 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 29.764 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 29.764 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.764 * [taylor]: Taking taylor expansion of k in n 29.764 * [backup-simplify]: Simplify k into k 29.764 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.764 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 29.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 29.764 * [taylor]: Taking taylor expansion of 1 in n 29.764 * [backup-simplify]: Simplify 1 into 1 29.764 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.764 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.764 * [taylor]: Taking taylor expansion of 2 in n 29.764 * [backup-simplify]: Simplify 2 into 2 29.764 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.764 * [taylor]: Taking taylor expansion of PI in n 29.764 * [backup-simplify]: Simplify PI into PI 29.765 * [taylor]: Taking taylor expansion of n in n 29.765 * [backup-simplify]: Simplify 0 into 0 29.765 * [backup-simplify]: Simplify 1 into 1 29.765 * [backup-simplify]: Simplify (/ PI 1) into PI 29.766 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.767 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.767 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 29.768 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.769 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 29.770 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 29.770 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 29.770 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 29.770 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 29.771 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 29.771 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 29.771 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.771 * [taylor]: Taking taylor expansion of k in n 29.771 * [backup-simplify]: Simplify k into k 29.771 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.771 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 29.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 29.771 * [taylor]: Taking taylor expansion of 1 in n 29.771 * [backup-simplify]: Simplify 1 into 1 29.771 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.771 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.771 * [taylor]: Taking taylor expansion of 2 in n 29.771 * [backup-simplify]: Simplify 2 into 2 29.771 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.771 * [taylor]: Taking taylor expansion of PI in n 29.771 * [backup-simplify]: Simplify PI into PI 29.771 * [taylor]: Taking taylor expansion of n in n 29.771 * [backup-simplify]: Simplify 0 into 0 29.771 * [backup-simplify]: Simplify 1 into 1 29.772 * [backup-simplify]: Simplify (/ PI 1) into PI 29.772 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.773 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.773 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 29.775 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.776 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 29.777 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 29.777 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) in k 29.777 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) in k 29.777 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 29.777 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.777 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.777 * [taylor]: Taking taylor expansion of k in k 29.777 * [backup-simplify]: Simplify 0 into 0 29.777 * [backup-simplify]: Simplify 1 into 1 29.777 * [backup-simplify]: Simplify (/ 1 1) into 1 29.778 * [backup-simplify]: Simplify (sqrt 0) into 0 29.779 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.779 * [taylor]: Taking taylor expansion of 1 in k 29.779 * [backup-simplify]: Simplify 1 into 1 29.779 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 29.779 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.779 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.779 * [taylor]: Taking taylor expansion of 2 in k 29.779 * [backup-simplify]: Simplify 2 into 2 29.779 * [taylor]: Taking taylor expansion of PI in k 29.779 * [backup-simplify]: Simplify PI into PI 29.780 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.781 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.781 * [taylor]: Taking taylor expansion of (log n) in k 29.781 * [taylor]: Taking taylor expansion of n in k 29.781 * [backup-simplify]: Simplify n into n 29.781 * [backup-simplify]: Simplify (log n) into (log n) 29.781 * [backup-simplify]: Simplify (+ 0 0) into 0 29.782 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.783 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 29.784 * [backup-simplify]: Simplify (* 0 (- (log (* 2 PI)) (log n))) into 0 29.784 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.786 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.787 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 29.787 * [backup-simplify]: Simplify (- 0) into 0 29.788 * [backup-simplify]: Simplify (+ 0 0) into 0 29.788 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 29.790 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 29.792 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 29.795 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 29.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.797 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.798 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.798 * [backup-simplify]: Simplify (+ 0 0) into 0 29.799 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.799 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 29.801 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 29.801 * [taylor]: Taking taylor expansion of 0 in k 29.801 * [backup-simplify]: Simplify 0 into 0 29.801 * [backup-simplify]: Simplify 0 into 0 29.801 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.807 * [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 29.808 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 29.808 * [backup-simplify]: Simplify (- 0) into 0 29.809 * [backup-simplify]: Simplify (+ 0 0) into 0 29.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.811 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.811 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.812 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 29.815 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 29.819 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 29.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.820 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.822 * [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 29.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.823 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 29.823 * [backup-simplify]: Simplify (+ 0 0) into 0 29.824 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.825 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 29.826 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.826 * [taylor]: Taking taylor expansion of 0 in k 29.826 * [backup-simplify]: Simplify 0 into 0 29.826 * [backup-simplify]: Simplify 0 into 0 29.826 * [backup-simplify]: Simplify 0 into 0 29.827 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.831 * [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 29.833 * [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 29.834 * [backup-simplify]: Simplify (- 0) into 0 29.834 * [backup-simplify]: Simplify (+ 0 0) into 0 29.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.838 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.839 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.841 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 29.848 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 29.855 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 29.872 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log (/ 1 n)) 2)) (- (+ (* +nan.0 (* (log (/ 1 n)) (log (* 2 PI)))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 2)) (+ (* (* (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (* (/ 1 k) 1)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 29.872 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 (- k)))) 1)) into (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) 29.872 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in (n k) around 0 29.872 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 29.872 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 29.872 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 29.872 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 29.872 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.872 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.872 * [taylor]: Taking taylor expansion of -1 in k 29.872 * [backup-simplify]: Simplify -1 into -1 29.872 * [taylor]: Taking taylor expansion of k in k 29.872 * [backup-simplify]: Simplify 0 into 0 29.872 * [backup-simplify]: Simplify 1 into 1 29.873 * [backup-simplify]: Simplify (/ -1 1) into -1 29.873 * [backup-simplify]: Simplify (sqrt 0) into 0 29.874 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.874 * [taylor]: Taking taylor expansion of 1 in k 29.874 * [backup-simplify]: Simplify 1 into 1 29.874 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 29.874 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 29.874 * [taylor]: Taking taylor expansion of -2 in k 29.874 * [backup-simplify]: Simplify -2 into -2 29.874 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.874 * [taylor]: Taking taylor expansion of PI in k 29.874 * [backup-simplify]: Simplify PI into PI 29.874 * [taylor]: Taking taylor expansion of n in k 29.874 * [backup-simplify]: Simplify n into n 29.874 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.874 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 29.874 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 29.874 * [backup-simplify]: Simplify (+ 0 0) into 0 29.874 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 29.875 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 29.875 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 29.875 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 29.876 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 29.876 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 29.876 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 29.876 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 29.876 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 29.876 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 29.876 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 29.876 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 29.876 * [taylor]: Taking taylor expansion of (/ -1 k) in n 29.876 * [taylor]: Taking taylor expansion of -1 in n 29.876 * [backup-simplify]: Simplify -1 into -1 29.876 * [taylor]: Taking taylor expansion of k in n 29.876 * [backup-simplify]: Simplify k into k 29.876 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 29.876 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 29.876 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 29.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 29.877 * [taylor]: Taking taylor expansion of 1 in n 29.877 * [backup-simplify]: Simplify 1 into 1 29.877 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.877 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.877 * [taylor]: Taking taylor expansion of -2 in n 29.877 * [backup-simplify]: Simplify -2 into -2 29.877 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.877 * [taylor]: Taking taylor expansion of PI in n 29.877 * [backup-simplify]: Simplify PI into PI 29.877 * [taylor]: Taking taylor expansion of n in n 29.877 * [backup-simplify]: Simplify 0 into 0 29.877 * [backup-simplify]: Simplify 1 into 1 29.877 * [backup-simplify]: Simplify (/ PI 1) into PI 29.877 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.878 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.878 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 29.879 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.879 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 29.880 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 29.880 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 29.880 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 29.880 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 29.880 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 29.880 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 29.880 * [taylor]: Taking taylor expansion of (/ -1 k) in n 29.880 * [taylor]: Taking taylor expansion of -1 in n 29.880 * [backup-simplify]: Simplify -1 into -1 29.880 * [taylor]: Taking taylor expansion of k in n 29.880 * [backup-simplify]: Simplify k into k 29.880 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 29.880 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 29.880 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 29.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 29.880 * [taylor]: Taking taylor expansion of 1 in n 29.880 * [backup-simplify]: Simplify 1 into 1 29.880 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.880 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.881 * [taylor]: Taking taylor expansion of -2 in n 29.881 * [backup-simplify]: Simplify -2 into -2 29.881 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.881 * [taylor]: Taking taylor expansion of PI in n 29.881 * [backup-simplify]: Simplify PI into PI 29.881 * [taylor]: Taking taylor expansion of n in n 29.881 * [backup-simplify]: Simplify 0 into 0 29.881 * [backup-simplify]: Simplify 1 into 1 29.881 * [backup-simplify]: Simplify (/ PI 1) into PI 29.881 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.882 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.882 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 29.883 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.883 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 29.884 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 29.884 * [taylor]: Taking taylor expansion of (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) in k 29.884 * [taylor]: Taking taylor expansion of (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) in k 29.884 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 29.884 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 29.884 * [taylor]: Taking taylor expansion of (* -2 PI) in k 29.884 * [taylor]: Taking taylor expansion of -2 in k 29.884 * [backup-simplify]: Simplify -2 into -2 29.884 * [taylor]: Taking taylor expansion of PI in k 29.884 * [backup-simplify]: Simplify PI into PI 29.884 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.885 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.885 * [taylor]: Taking taylor expansion of (log n) in k 29.885 * [taylor]: Taking taylor expansion of n in k 29.885 * [backup-simplify]: Simplify n into n 29.885 * [backup-simplify]: Simplify (log n) into (log n) 29.885 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 29.885 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.885 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.885 * [taylor]: Taking taylor expansion of -1 in k 29.885 * [backup-simplify]: Simplify -1 into -1 29.885 * [taylor]: Taking taylor expansion of k in k 29.885 * [backup-simplify]: Simplify 0 into 0 29.885 * [backup-simplify]: Simplify 1 into 1 29.885 * [backup-simplify]: Simplify (/ -1 1) into -1 29.886 * [backup-simplify]: Simplify (sqrt 0) into 0 29.886 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.886 * [taylor]: Taking taylor expansion of 1 in k 29.887 * [backup-simplify]: Simplify 1 into 1 29.887 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.887 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 29.887 * [backup-simplify]: Simplify (+ 0 0) into 0 29.888 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) 0) into 0 29.888 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 29.889 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 29.890 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 29.890 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 29.890 * [backup-simplify]: Simplify (- 0) into 0 29.891 * [backup-simplify]: Simplify (+ 0 0) into 0 29.892 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (* 0 0)) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 29.893 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 29.895 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 29.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.896 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 29.897 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 29.898 * [backup-simplify]: Simplify (+ 0 0) into 0 29.899 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.900 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 29.902 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 29.902 * [taylor]: Taking taylor expansion of 0 in k 29.902 * [backup-simplify]: Simplify 0 into 0 29.902 * [backup-simplify]: Simplify 0 into 0 29.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 29.912 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.912 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.913 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 29.917 * [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 29.918 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 29.919 * [backup-simplify]: Simplify (- 0) into 0 29.919 * [backup-simplify]: Simplify (+ 0 0) into 0 29.921 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 29.926 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 29.930 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 29.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.932 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 29.935 * [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 29.935 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.936 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 29.936 * [backup-simplify]: Simplify (+ 0 0) into 0 29.937 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.938 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 29.941 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.941 * [taylor]: Taking taylor expansion of 0 in k 29.941 * [backup-simplify]: Simplify 0 into 0 29.941 * [backup-simplify]: Simplify 0 into 0 29.941 * [backup-simplify]: Simplify 0 into 0 29.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.945 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.945 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.946 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.950 * [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 29.952 * [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 29.952 * [backup-simplify]: Simplify (- 0) into 0 29.953 * [backup-simplify]: Simplify (+ 0 0) into 0 29.954 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 29.959 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 29.964 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))) 29.975 * [backup-simplify]: Simplify (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log (/ 1 (- n))) 2)) (- (+ (* +nan.0 (* (log (/ 1 (- n))) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))) (* (/ 1 (- k)) 1)) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 29.976 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 29.976 * [backup-simplify]: Simplify (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) into (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) 29.976 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in (n k) around 0 29.976 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in k 29.976 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in k 29.976 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in k 29.976 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in k 29.976 * [taylor]: Taking taylor expansion of 1/2 in k 29.976 * [backup-simplify]: Simplify 1/2 into 1/2 29.976 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 29.976 * [taylor]: Taking taylor expansion of 1 in k 29.976 * [backup-simplify]: Simplify 1 into 1 29.976 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.976 * [taylor]: Taking taylor expansion of k in k 29.976 * [backup-simplify]: Simplify 0 into 0 29.976 * [backup-simplify]: Simplify 1 into 1 29.977 * [backup-simplify]: Simplify (sqrt 0) into 0 29.978 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.978 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in k 29.978 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 29.978 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 29.978 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 29.978 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 29.978 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.978 * [taylor]: Taking taylor expansion of k in k 29.978 * [backup-simplify]: Simplify 0 into 0 29.978 * [backup-simplify]: Simplify 1 into 1 29.979 * [backup-simplify]: Simplify (sqrt 0) into 0 29.980 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.980 * [taylor]: Taking taylor expansion of 1 in k 29.980 * [backup-simplify]: Simplify 1 into 1 29.980 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 29.980 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 29.980 * [taylor]: Taking taylor expansion of 2 in k 29.980 * [backup-simplify]: Simplify 2 into 2 29.980 * [taylor]: Taking taylor expansion of (* n PI) in k 29.980 * [taylor]: Taking taylor expansion of n in k 29.980 * [backup-simplify]: Simplify n into n 29.980 * [taylor]: Taking taylor expansion of PI in k 29.980 * [backup-simplify]: Simplify PI into PI 29.980 * [backup-simplify]: Simplify (* n PI) into (* n PI) 29.980 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 29.981 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 29.981 * [backup-simplify]: Simplify (+ 0 1) into 1 29.981 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 29.981 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 29.981 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 29.982 * [backup-simplify]: Simplify (- 0) into 0 29.982 * [backup-simplify]: Simplify (+ 1 0) into 1 29.983 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.983 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 29.983 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 29.983 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 29.983 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 29.983 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 29.983 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 29.983 * [taylor]: Taking taylor expansion of 1/2 in n 29.983 * [backup-simplify]: Simplify 1/2 into 1/2 29.983 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 29.983 * [taylor]: Taking taylor expansion of 1 in n 29.983 * [backup-simplify]: Simplify 1 into 1 29.983 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.983 * [taylor]: Taking taylor expansion of k in n 29.983 * [backup-simplify]: Simplify k into k 29.983 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.983 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 29.983 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 29.983 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 29.983 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 29.983 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 29.983 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.984 * [taylor]: Taking taylor expansion of k in n 29.984 * [backup-simplify]: Simplify k into k 29.984 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.984 * [taylor]: Taking taylor expansion of 1 in n 29.984 * [backup-simplify]: Simplify 1 into 1 29.984 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.984 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.984 * [taylor]: Taking taylor expansion of 2 in n 29.984 * [backup-simplify]: Simplify 2 into 2 29.984 * [taylor]: Taking taylor expansion of (* n PI) in n 29.984 * [taylor]: Taking taylor expansion of n in n 29.984 * [backup-simplify]: Simplify 0 into 0 29.984 * [backup-simplify]: Simplify 1 into 1 29.984 * [taylor]: Taking taylor expansion of PI in n 29.984 * [backup-simplify]: Simplify PI into PI 29.984 * [backup-simplify]: Simplify (* 0 PI) into 0 29.985 * [backup-simplify]: Simplify (* 2 0) into 0 29.986 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.988 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.989 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.989 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 29.990 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.991 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 29.992 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 29.993 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 29.993 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 29.994 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 29.994 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 29.995 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 29.996 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 29.996 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 29.996 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 29.996 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 29.996 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 29.996 * [taylor]: Taking taylor expansion of 1/2 in n 29.996 * [backup-simplify]: Simplify 1/2 into 1/2 29.996 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 29.996 * [taylor]: Taking taylor expansion of 1 in n 29.996 * [backup-simplify]: Simplify 1 into 1 29.996 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.996 * [taylor]: Taking taylor expansion of k in n 29.996 * [backup-simplify]: Simplify k into k 29.996 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.996 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 29.996 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 29.996 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 29.997 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 29.997 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 29.997 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.997 * [taylor]: Taking taylor expansion of k in n 29.997 * [backup-simplify]: Simplify k into k 29.997 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.997 * [taylor]: Taking taylor expansion of 1 in n 29.997 * [backup-simplify]: Simplify 1 into 1 29.997 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.997 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.997 * [taylor]: Taking taylor expansion of 2 in n 29.997 * [backup-simplify]: Simplify 2 into 2 29.997 * [taylor]: Taking taylor expansion of (* n PI) in n 29.997 * [taylor]: Taking taylor expansion of n in n 29.997 * [backup-simplify]: Simplify 0 into 0 29.997 * [backup-simplify]: Simplify 1 into 1 29.997 * [taylor]: Taking taylor expansion of PI in n 29.997 * [backup-simplify]: Simplify PI into PI 29.997 * [backup-simplify]: Simplify (* 0 PI) into 0 29.998 * [backup-simplify]: Simplify (* 2 0) into 0 29.999 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.001 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.002 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.002 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 30.003 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.004 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 30.006 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 30.007 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 30.007 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 30.007 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 30.007 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 30.008 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 30.009 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 30.009 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) in k 30.009 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) in k 30.009 * [taylor]: Taking taylor expansion of 1/2 in k 30.010 * [backup-simplify]: Simplify 1/2 into 1/2 30.010 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))) in k 30.010 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 30.010 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.010 * [taylor]: Taking taylor expansion of k in k 30.010 * [backup-simplify]: Simplify 0 into 0 30.010 * [backup-simplify]: Simplify 1 into 1 30.010 * [backup-simplify]: Simplify (sqrt 0) into 0 30.012 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.012 * [taylor]: Taking taylor expansion of 1 in k 30.012 * [backup-simplify]: Simplify 1 into 1 30.012 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))) in k 30.012 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 30.012 * [taylor]: Taking taylor expansion of 1 in k 30.012 * [backup-simplify]: Simplify 1 into 1 30.012 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.012 * [taylor]: Taking taylor expansion of k in k 30.012 * [backup-simplify]: Simplify 0 into 0 30.012 * [backup-simplify]: Simplify 1 into 1 30.012 * [backup-simplify]: Simplify (sqrt 0) into 0 30.013 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.014 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 30.014 * [taylor]: Taking taylor expansion of (log n) in k 30.014 * [taylor]: Taking taylor expansion of n in k 30.014 * [backup-simplify]: Simplify n into n 30.014 * [backup-simplify]: Simplify (log n) into (log n) 30.014 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.014 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.014 * [taylor]: Taking taylor expansion of 2 in k 30.014 * [backup-simplify]: Simplify 2 into 2 30.014 * [taylor]: Taking taylor expansion of PI in k 30.014 * [backup-simplify]: Simplify PI into PI 30.014 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.015 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.016 * [backup-simplify]: Simplify (+ 0 1) into 1 30.016 * [backup-simplify]: Simplify (- 0) into 0 30.016 * [backup-simplify]: Simplify (+ 1 0) into 1 30.017 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.018 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 30.019 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 30.020 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 30.022 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 30.029 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 30.031 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 30.032 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 30.033 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.034 * [backup-simplify]: Simplify (+ 0 0) into 0 30.035 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.036 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 30.038 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.040 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 1) into 0 30.040 * [backup-simplify]: Simplify (- 0) into 0 30.041 * [backup-simplify]: Simplify (+ 0 0) into 0 30.041 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt k)))) into 0 30.042 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into 0 30.044 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.045 * [taylor]: Taking taylor expansion of 0 in k 30.045 * [backup-simplify]: Simplify 0 into 0 30.045 * [backup-simplify]: Simplify 0 into 0 30.045 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 30.046 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.048 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.049 * [backup-simplify]: Simplify (+ 0 0) into 0 30.049 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.050 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 30.052 * [backup-simplify]: Simplify (+ (* 1 0) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 30.052 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.056 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.059 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.063 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 30.067 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) 30.068 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 30.069 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 30.073 * [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 30.074 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 30.074 * [backup-simplify]: Simplify (+ 0 0) into 0 30.076 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.077 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 30.080 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.083 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 2) into 0 30.084 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 30.085 * [backup-simplify]: Simplify (- 0) into 0 30.085 * [backup-simplify]: Simplify (+ 0 0) into 0 30.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt k))))) into 0 30.088 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))))) into 0 30.090 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.090 * [taylor]: Taking taylor expansion of 0 in k 30.090 * [backup-simplify]: Simplify 0 into 0 30.090 * [backup-simplify]: Simplify 0 into 0 30.090 * [backup-simplify]: Simplify 0 into 0 30.092 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 30.093 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.096 * [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 30.097 * [backup-simplify]: Simplify (+ 0 0) into 0 30.100 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.101 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.102 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 30.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.107 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.108 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.115 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.121 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.128 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 30.134 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) 30.151 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (* k 1) 2)) (+ (* (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* +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 (* (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 (* (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)))))))))))))))) 30.152 * [backup-simplify]: Simplify (pow (pow (* (/ 1 n) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 k))) 1)) (/ (- 1 (sqrt (/ 1 k))) 2)) into (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) 30.152 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in (n k) around 0 30.152 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in k 30.152 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in k 30.152 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in k 30.152 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in k 30.152 * [taylor]: Taking taylor expansion of 1/2 in k 30.152 * [backup-simplify]: Simplify 1/2 into 1/2 30.152 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 30.152 * [taylor]: Taking taylor expansion of 1 in k 30.152 * [backup-simplify]: Simplify 1 into 1 30.152 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.152 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.152 * [taylor]: Taking taylor expansion of k in k 30.152 * [backup-simplify]: Simplify 0 into 0 30.152 * [backup-simplify]: Simplify 1 into 1 30.153 * [backup-simplify]: Simplify (/ 1 1) into 1 30.153 * [backup-simplify]: Simplify (sqrt 0) into 0 30.154 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.154 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in k 30.155 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 30.155 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 30.155 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 30.155 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 30.155 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.155 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.155 * [taylor]: Taking taylor expansion of k in k 30.155 * [backup-simplify]: Simplify 0 into 0 30.155 * [backup-simplify]: Simplify 1 into 1 30.155 * [backup-simplify]: Simplify (/ 1 1) into 1 30.156 * [backup-simplify]: Simplify (sqrt 0) into 0 30.157 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.157 * [taylor]: Taking taylor expansion of 1 in k 30.157 * [backup-simplify]: Simplify 1 into 1 30.157 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 30.157 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 30.157 * [taylor]: Taking taylor expansion of 2 in k 30.157 * [backup-simplify]: Simplify 2 into 2 30.157 * [taylor]: Taking taylor expansion of (/ PI n) in k 30.157 * [taylor]: Taking taylor expansion of PI in k 30.157 * [backup-simplify]: Simplify PI into PI 30.157 * [taylor]: Taking taylor expansion of n in k 30.157 * [backup-simplify]: Simplify n into n 30.157 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 30.157 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 30.157 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 30.158 * [backup-simplify]: Simplify (+ 0 0) into 0 30.158 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 30.158 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 30.159 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 30.159 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 30.160 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 30.161 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 30.161 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 30.161 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 30.161 * [backup-simplify]: Simplify (- 0) into 0 30.162 * [backup-simplify]: Simplify (+ 0 0) into 0 30.162 * [backup-simplify]: Simplify (* 1/2 0) into 0 30.162 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* 2 (/ PI n)))))) into 0 30.162 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 30.163 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 30.165 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 1)))) 2) into 0 30.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.175 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.175 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.177 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n)))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 30.177 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) 30.178 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* 2 (/ PI n)))) 30.178 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.179 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 30.181 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 30.182 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 30.182 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 30.182 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 30.182 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 30.182 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 30.182 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 30.182 * [taylor]: Taking taylor expansion of 1/2 in n 30.182 * [backup-simplify]: Simplify 1/2 into 1/2 30.182 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 30.182 * [taylor]: Taking taylor expansion of 1 in n 30.182 * [backup-simplify]: Simplify 1 into 1 30.182 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 30.182 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.182 * [taylor]: Taking taylor expansion of k in n 30.182 * [backup-simplify]: Simplify k into k 30.182 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.183 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 30.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 30.183 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 30.183 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 30.183 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 30.183 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 30.183 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 30.183 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 30.183 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.183 * [taylor]: Taking taylor expansion of k in n 30.183 * [backup-simplify]: Simplify k into k 30.183 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.183 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 30.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 30.183 * [taylor]: Taking taylor expansion of 1 in n 30.183 * [backup-simplify]: Simplify 1 into 1 30.183 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.184 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.184 * [taylor]: Taking taylor expansion of 2 in n 30.184 * [backup-simplify]: Simplify 2 into 2 30.184 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.184 * [taylor]: Taking taylor expansion of PI in n 30.184 * [backup-simplify]: Simplify PI into PI 30.184 * [taylor]: Taking taylor expansion of n in n 30.184 * [backup-simplify]: Simplify 0 into 0 30.184 * [backup-simplify]: Simplify 1 into 1 30.184 * [backup-simplify]: Simplify (/ PI 1) into PI 30.185 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.186 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.186 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 30.187 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.189 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 30.189 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 30.190 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 30.190 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 30.190 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 30.190 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 30.191 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 30.192 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 30.192 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 30.192 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 30.192 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 30.192 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 30.192 * [taylor]: Taking taylor expansion of 1/2 in n 30.192 * [backup-simplify]: Simplify 1/2 into 1/2 30.192 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 30.192 * [taylor]: Taking taylor expansion of 1 in n 30.192 * [backup-simplify]: Simplify 1 into 1 30.192 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 30.192 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.192 * [taylor]: Taking taylor expansion of k in n 30.192 * [backup-simplify]: Simplify k into k 30.192 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.192 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 30.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 30.192 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 30.192 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 30.192 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 30.192 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 30.192 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 30.192 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 30.192 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.192 * [taylor]: Taking taylor expansion of k in n 30.192 * [backup-simplify]: Simplify k into k 30.192 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.192 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 30.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 30.193 * [taylor]: Taking taylor expansion of 1 in n 30.193 * [backup-simplify]: Simplify 1 into 1 30.193 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.193 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.193 * [taylor]: Taking taylor expansion of 2 in n 30.193 * [backup-simplify]: Simplify 2 into 2 30.193 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.193 * [taylor]: Taking taylor expansion of PI in n 30.193 * [backup-simplify]: Simplify PI into PI 30.193 * [taylor]: Taking taylor expansion of n in n 30.193 * [backup-simplify]: Simplify 0 into 0 30.193 * [backup-simplify]: Simplify 1 into 1 30.193 * [backup-simplify]: Simplify (/ PI 1) into PI 30.193 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.194 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.194 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 30.195 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.195 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 30.196 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 30.197 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 30.197 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 30.197 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 30.197 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 30.198 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 30.198 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 30.199 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) in k 30.199 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) in k 30.199 * [taylor]: Taking taylor expansion of 1/2 in k 30.199 * [backup-simplify]: Simplify 1/2 into 1/2 30.199 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 30.199 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 30.199 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.199 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.199 * [taylor]: Taking taylor expansion of k in k 30.199 * [backup-simplify]: Simplify 0 into 0 30.199 * [backup-simplify]: Simplify 1 into 1 30.199 * [backup-simplify]: Simplify (/ 1 1) into 1 30.199 * [backup-simplify]: Simplify (sqrt 0) into 0 30.200 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.200 * [taylor]: Taking taylor expansion of 1 in k 30.200 * [backup-simplify]: Simplify 1 into 1 30.200 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 30.200 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 30.200 * [taylor]: Taking taylor expansion of 1 in k 30.200 * [backup-simplify]: Simplify 1 into 1 30.200 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.200 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.200 * [taylor]: Taking taylor expansion of k in k 30.200 * [backup-simplify]: Simplify 0 into 0 30.200 * [backup-simplify]: Simplify 1 into 1 30.201 * [backup-simplify]: Simplify (/ 1 1) into 1 30.201 * [backup-simplify]: Simplify (sqrt 0) into 0 30.202 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.202 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 30.202 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.202 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.202 * [taylor]: Taking taylor expansion of 2 in k 30.202 * [backup-simplify]: Simplify 2 into 2 30.202 * [taylor]: Taking taylor expansion of PI in k 30.202 * [backup-simplify]: Simplify PI into PI 30.202 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.203 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.203 * [taylor]: Taking taylor expansion of (log n) in k 30.203 * [taylor]: Taking taylor expansion of n in k 30.203 * [backup-simplify]: Simplify n into n 30.203 * [backup-simplify]: Simplify (log n) into (log n) 30.203 * [backup-simplify]: Simplify (+ 0 0) into 0 30.203 * [backup-simplify]: Simplify (- 0) into 0 30.204 * [backup-simplify]: Simplify (+ 0 0) into 0 30.204 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 30.204 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 30.205 * [backup-simplify]: Simplify (* 0 (- (log (* 2 PI)) (log n))) into 0 30.205 * [backup-simplify]: Simplify (* 0 0) into 0 30.205 * [backup-simplify]: Simplify (* 1/2 0) into 0 30.206 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.207 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.207 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 30.207 * [backup-simplify]: Simplify (- 0) into 0 30.208 * [backup-simplify]: Simplify (+ 0 0) into 0 30.208 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.208 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 30.210 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.210 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 30.212 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)) into 0 30.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 0)) into 0 30.213 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.215 * [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 30.216 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 30.216 * [backup-simplify]: Simplify (- 0) into 0 30.216 * [backup-simplify]: Simplify (+ 0 0) into 0 30.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.218 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.219 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.219 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 30.221 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 30.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.225 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.225 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.231 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 30.233 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.236 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 30.239 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 30.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.241 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.242 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.243 * [backup-simplify]: Simplify (+ 0 0) into 0 30.244 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.246 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 30.248 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 30.250 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 1) into 0 30.250 * [backup-simplify]: Simplify (- 0) into 0 30.251 * [backup-simplify]: Simplify (+ 0 0) into 0 30.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt (/ 1 k))))) into 0 30.253 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into 0 30.254 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.255 * [taylor]: Taking taylor expansion of 0 in k 30.255 * [backup-simplify]: Simplify 0 into 0 30.255 * [backup-simplify]: Simplify 0 into 0 30.256 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.261 * [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 30.263 * [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 30.264 * [backup-simplify]: Simplify (- 0) into 0 30.264 * [backup-simplify]: Simplify (+ 0 0) into 0 30.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.269 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.270 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 30.272 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.277 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.277 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.284 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 30.288 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.300 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 30.305 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 30.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.307 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.310 * [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 30.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.311 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 30.311 * [backup-simplify]: Simplify (+ 0 0) into 0 30.312 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.314 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 30.316 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.320 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 2) into 0 30.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.321 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 30.321 * [backup-simplify]: Simplify (- 0) into 0 30.321 * [backup-simplify]: Simplify (+ 0 0) into 0 30.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ 1 k)))))) into 0 30.324 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))))) into 0 30.326 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.326 * [taylor]: Taking taylor expansion of 0 in k 30.326 * [backup-simplify]: Simplify 0 into 0 30.326 * [backup-simplify]: Simplify 0 into 0 30.326 * [backup-simplify]: Simplify 0 into 0 30.327 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 30.339 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0 30.343 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 30.343 * [backup-simplify]: Simplify (- 0) into 0 30.344 * [backup-simplify]: Simplify (+ 0 0) into 0 30.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.349 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.349 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.350 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 30.353 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 30.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.358 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.358 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.367 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 30.373 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.382 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 30.391 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 30.412 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log (/ 1 n)) 2)) (- (+ (* +nan.0 (* (log (/ 1 n)) (log (* 2 PI)))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 2)) (+ (* (* (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (* (/ 1 k) 1)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 30.413 * [backup-simplify]: Simplify (pow (pow (* (/ 1 (- n)) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 (- k)))) 1)) (/ (- 1 (sqrt (/ 1 (- k)))) 2)) into (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) 30.413 * [approximate]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in (n k) around 0 30.413 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in k 30.413 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in k 30.413 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in k 30.413 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in k 30.413 * [taylor]: Taking taylor expansion of 1/2 in k 30.413 * [backup-simplify]: Simplify 1/2 into 1/2 30.413 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 30.413 * [taylor]: Taking taylor expansion of 1 in k 30.414 * [backup-simplify]: Simplify 1 into 1 30.414 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 30.414 * [taylor]: Taking taylor expansion of (/ -1 k) in k 30.414 * [taylor]: Taking taylor expansion of -1 in k 30.414 * [backup-simplify]: Simplify -1 into -1 30.414 * [taylor]: Taking taylor expansion of k in k 30.414 * [backup-simplify]: Simplify 0 into 0 30.414 * [backup-simplify]: Simplify 1 into 1 30.414 * [backup-simplify]: Simplify (/ -1 1) into -1 30.415 * [backup-simplify]: Simplify (sqrt 0) into 0 30.416 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 30.416 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in k 30.416 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 30.416 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 30.416 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 30.416 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 30.416 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 30.416 * [taylor]: Taking taylor expansion of (/ -1 k) in k 30.416 * [taylor]: Taking taylor expansion of -1 in k 30.416 * [backup-simplify]: Simplify -1 into -1 30.416 * [taylor]: Taking taylor expansion of k in k 30.416 * [backup-simplify]: Simplify 0 into 0 30.417 * [backup-simplify]: Simplify 1 into 1 30.417 * [backup-simplify]: Simplify (/ -1 1) into -1 30.417 * [backup-simplify]: Simplify (sqrt 0) into 0 30.419 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 30.419 * [taylor]: Taking taylor expansion of 1 in k 30.419 * [backup-simplify]: Simplify 1 into 1 30.419 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 30.419 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 30.419 * [taylor]: Taking taylor expansion of -2 in k 30.419 * [backup-simplify]: Simplify -2 into -2 30.419 * [taylor]: Taking taylor expansion of (/ PI n) in k 30.419 * [taylor]: Taking taylor expansion of PI in k 30.419 * [backup-simplify]: Simplify PI into PI 30.419 * [taylor]: Taking taylor expansion of n in k 30.419 * [backup-simplify]: Simplify n into n 30.419 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 30.420 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 30.420 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 30.420 * [backup-simplify]: Simplify (+ 0 0) into 0 30.420 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 30.420 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 30.421 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 30.422 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 30.422 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 30.423 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 30.423 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 30.423 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 30.424 * [backup-simplify]: Simplify (- 0) into 0 30.424 * [backup-simplify]: Simplify (+ 0 0) into 0 30.425 * [backup-simplify]: Simplify (* 1/2 0) into 0 30.425 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* -2 (/ PI n)))))) into 0 30.425 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 30.426 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 30.428 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (/ PI n)) 1)))) 2) into 0 30.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 30.438 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.439 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.440 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* -2 (/ PI n)))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 30.440 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 30.441 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* -2 (/ PI n)))) 30.441 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.442 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 30.444 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 30.445 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* -2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 30.445 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 30.445 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 30.445 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 30.445 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 30.445 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 30.445 * [taylor]: Taking taylor expansion of 1/2 in n 30.446 * [backup-simplify]: Simplify 1/2 into 1/2 30.446 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 30.446 * [taylor]: Taking taylor expansion of 1 in n 30.446 * [backup-simplify]: Simplify 1 into 1 30.446 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 30.446 * [taylor]: Taking taylor expansion of (/ -1 k) in n 30.446 * [taylor]: Taking taylor expansion of -1 in n 30.446 * [backup-simplify]: Simplify -1 into -1 30.446 * [taylor]: Taking taylor expansion of k in n 30.446 * [backup-simplify]: Simplify k into k 30.446 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 30.446 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 30.446 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 30.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 30.446 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 30.446 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 30.446 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 30.446 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 30.446 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 30.446 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 30.446 * [taylor]: Taking taylor expansion of (/ -1 k) in n 30.446 * [taylor]: Taking taylor expansion of -1 in n 30.446 * [backup-simplify]: Simplify -1 into -1 30.446 * [taylor]: Taking taylor expansion of k in n 30.446 * [backup-simplify]: Simplify k into k 30.446 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 30.447 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 30.447 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 30.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 30.447 * [taylor]: Taking taylor expansion of 1 in n 30.447 * [backup-simplify]: Simplify 1 into 1 30.447 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 30.447 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.447 * [taylor]: Taking taylor expansion of -2 in n 30.447 * [backup-simplify]: Simplify -2 into -2 30.447 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.447 * [taylor]: Taking taylor expansion of PI in n 30.447 * [backup-simplify]: Simplify PI into PI 30.447 * [taylor]: Taking taylor expansion of n in n 30.447 * [backup-simplify]: Simplify 0 into 0 30.447 * [backup-simplify]: Simplify 1 into 1 30.448 * [backup-simplify]: Simplify (/ PI 1) into PI 30.448 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.449 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.449 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 30.451 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.452 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 30.453 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 30.454 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 30.454 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 30.454 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 30.454 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 30.455 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 30.457 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 30.457 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 30.457 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 30.457 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 30.457 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 30.457 * [taylor]: Taking taylor expansion of 1/2 in n 30.457 * [backup-simplify]: Simplify 1/2 into 1/2 30.457 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 30.457 * [taylor]: Taking taylor expansion of 1 in n 30.457 * [backup-simplify]: Simplify 1 into 1 30.457 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 30.457 * [taylor]: Taking taylor expansion of (/ -1 k) in n 30.457 * [taylor]: Taking taylor expansion of -1 in n 30.457 * [backup-simplify]: Simplify -1 into -1 30.457 * [taylor]: Taking taylor expansion of k in n 30.457 * [backup-simplify]: Simplify k into k 30.457 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 30.457 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 30.457 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 30.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 30.458 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 30.458 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 30.458 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 30.458 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 30.458 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 30.458 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 30.458 * [taylor]: Taking taylor expansion of (/ -1 k) in n 30.458 * [taylor]: Taking taylor expansion of -1 in n 30.458 * [backup-simplify]: Simplify -1 into -1 30.458 * [taylor]: Taking taylor expansion of k in n 30.458 * [backup-simplify]: Simplify k into k 30.458 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 30.458 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 30.458 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 30.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 30.458 * [taylor]: Taking taylor expansion of 1 in n 30.458 * [backup-simplify]: Simplify 1 into 1 30.458 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 30.458 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.458 * [taylor]: Taking taylor expansion of -2 in n 30.458 * [backup-simplify]: Simplify -2 into -2 30.458 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.458 * [taylor]: Taking taylor expansion of PI in n 30.458 * [backup-simplify]: Simplify PI into PI 30.458 * [taylor]: Taking taylor expansion of n in n 30.458 * [backup-simplify]: Simplify 0 into 0 30.458 * [backup-simplify]: Simplify 1 into 1 30.459 * [backup-simplify]: Simplify (/ PI 1) into PI 30.459 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.460 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.460 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 30.462 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.463 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 30.464 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 30.465 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 30.465 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 30.465 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 30.465 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 30.467 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 30.468 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 30.468 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) in k 30.468 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) in k 30.468 * [taylor]: Taking taylor expansion of 1/2 in k 30.468 * [backup-simplify]: Simplify 1/2 into 1/2 30.468 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) in k 30.468 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 30.468 * [taylor]: Taking taylor expansion of 1 in k 30.468 * [backup-simplify]: Simplify 1 into 1 30.468 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 30.468 * [taylor]: Taking taylor expansion of (/ -1 k) in k 30.468 * [taylor]: Taking taylor expansion of -1 in k 30.468 * [backup-simplify]: Simplify -1 into -1 30.468 * [taylor]: Taking taylor expansion of k in k 30.468 * [backup-simplify]: Simplify 0 into 0 30.468 * [backup-simplify]: Simplify 1 into 1 30.469 * [backup-simplify]: Simplify (/ -1 1) into -1 30.469 * [backup-simplify]: Simplify (sqrt 0) into 0 30.471 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 30.471 * [taylor]: Taking taylor expansion of (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) in k 30.471 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 30.471 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 30.471 * [taylor]: Taking taylor expansion of (* -2 PI) in k 30.471 * [taylor]: Taking taylor expansion of -2 in k 30.471 * [backup-simplify]: Simplify -2 into -2 30.471 * [taylor]: Taking taylor expansion of PI in k 30.471 * [backup-simplify]: Simplify PI into PI 30.471 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.472 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.472 * [taylor]: Taking taylor expansion of (log n) in k 30.472 * [taylor]: Taking taylor expansion of n in k 30.473 * [backup-simplify]: Simplify n into n 30.473 * [backup-simplify]: Simplify (log n) into (log n) 30.473 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 30.473 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 30.473 * [taylor]: Taking taylor expansion of (/ -1 k) in k 30.473 * [taylor]: Taking taylor expansion of -1 in k 30.473 * [backup-simplify]: Simplify -1 into -1 30.473 * [taylor]: Taking taylor expansion of k in k 30.473 * [backup-simplify]: Simplify 0 into 0 30.473 * [backup-simplify]: Simplify 1 into 1 30.473 * [backup-simplify]: Simplify (/ -1 1) into -1 30.474 * [backup-simplify]: Simplify (sqrt 0) into 0 30.475 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 30.475 * [taylor]: Taking taylor expansion of 1 in k 30.475 * [backup-simplify]: Simplify 1 into 1 30.476 * [backup-simplify]: Simplify (- 0) into 0 30.476 * [backup-simplify]: Simplify (+ 0 0) into 0 30.476 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 30.477 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 30.477 * [backup-simplify]: Simplify (+ 0 0) into 0 30.478 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) 0) into 0 30.479 * [backup-simplify]: Simplify (* 0 0) into 0 30.479 * [backup-simplify]: Simplify (* 1/2 0) into 0 30.480 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 30.481 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 30.483 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 30.483 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 30.484 * [backup-simplify]: Simplify (- 0) into 0 30.484 * [backup-simplify]: Simplify (+ 0 0) into 0 30.486 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (* 0 0)) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 30.487 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.488 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 30.491 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0)) into 0 30.492 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 0)) into 0 30.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 30.496 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.496 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.497 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 30.499 * [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 30.500 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 30.500 * [backup-simplify]: Simplify (- 0) into 0 30.501 * [backup-simplify]: Simplify (+ 0 0) into 0 30.502 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 30.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 30.505 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.505 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.506 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 30.512 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 30.514 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 30.516 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 30.519 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 30.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.521 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 30.523 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 30.523 * [backup-simplify]: Simplify (+ 0 0) into 0 30.525 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.526 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 30.528 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 30.530 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 1)))) 1) into 0 30.531 * [backup-simplify]: Simplify (- 0) into 0 30.531 * [backup-simplify]: Simplify (+ 0 0) into 0 30.532 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt (/ -1 k))))) into 0 30.533 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ -1 k)))) 0) (* 0 (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into 0 30.535 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.535 * [taylor]: Taking taylor expansion of 0 in k 30.535 * [backup-simplify]: Simplify 0 into 0 30.535 * [backup-simplify]: Simplify 0 into 0 30.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.540 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.541 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.547 * [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 30.551 * [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 30.551 * [backup-simplify]: Simplify (- 0) into 0 30.552 * [backup-simplify]: Simplify (+ 0 0) into 0 30.554 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 30.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.559 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.560 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.561 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 30.570 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 30.582 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 30.587 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 30.593 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 30.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.596 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 30.599 * [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 30.599 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.600 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 30.601 * [backup-simplify]: Simplify (+ 0 0) into 0 30.602 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.604 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 30.606 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.610 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 1)))) 2) into 0 30.611 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.611 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 30.612 * [backup-simplify]: Simplify (- 0) into 0 30.612 * [backup-simplify]: Simplify (+ 0 0) into 0 30.613 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ -1 k)))))) into 0 30.615 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ -1 k)))) 0) (+ (* 0 0) (* 0 (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into 0 30.617 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.617 * [taylor]: Taking taylor expansion of 0 in k 30.617 * [backup-simplify]: Simplify 0 into 0 30.617 * [backup-simplify]: Simplify 0 into 0 30.617 * [backup-simplify]: Simplify 0 into 0 30.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.624 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.624 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.625 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 30.638 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -2 PI) 1)))) 24) into 0 30.643 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 30.644 * [backup-simplify]: Simplify (- 0) into 0 30.644 * [backup-simplify]: Simplify (+ 0 0) into 0 30.647 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 30.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.653 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.654 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.655 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 30.668 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 30.674 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 30.683 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 30.693 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))) 30.712 * [backup-simplify]: Simplify (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log (/ 1 (- n))) 2)) (- (+ (* +nan.0 (* (log (/ 1 (- n))) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))) (* (/ 1 (- k)) 1)) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 30.712 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 30.712 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 30.713 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 30.713 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.713 * [taylor]: Taking taylor expansion of 2 in n 30.713 * [backup-simplify]: Simplify 2 into 2 30.713 * [taylor]: Taking taylor expansion of (* n PI) in n 30.713 * [taylor]: Taking taylor expansion of n in n 30.713 * [backup-simplify]: Simplify 0 into 0 30.713 * [backup-simplify]: Simplify 1 into 1 30.713 * [taylor]: Taking taylor expansion of PI in n 30.713 * [backup-simplify]: Simplify PI into PI 30.713 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.713 * [taylor]: Taking taylor expansion of 2 in n 30.713 * [backup-simplify]: Simplify 2 into 2 30.713 * [taylor]: Taking taylor expansion of (* n PI) in n 30.713 * [taylor]: Taking taylor expansion of n in n 30.713 * [backup-simplify]: Simplify 0 into 0 30.713 * [backup-simplify]: Simplify 1 into 1 30.713 * [taylor]: Taking taylor expansion of PI in n 30.713 * [backup-simplify]: Simplify PI into PI 30.714 * [backup-simplify]: Simplify (* 0 PI) into 0 30.714 * [backup-simplify]: Simplify (* 2 0) into 0 30.714 * [backup-simplify]: Simplify 0 into 0 30.716 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.717 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.718 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.719 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 30.720 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 30.720 * [backup-simplify]: Simplify 0 into 0 30.721 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 30.723 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 30.723 * [backup-simplify]: Simplify 0 into 0 30.731 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 30.733 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 30.733 * [backup-simplify]: Simplify 0 into 0 30.734 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 30.736 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 30.736 * [backup-simplify]: Simplify 0 into 0 30.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 30.741 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 30.741 * [backup-simplify]: Simplify 0 into 0 30.743 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 30.745 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 30.745 * [backup-simplify]: Simplify 0 into 0 30.746 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 30.746 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 30.746 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 30.746 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.746 * [taylor]: Taking taylor expansion of 2 in n 30.746 * [backup-simplify]: Simplify 2 into 2 30.746 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.746 * [taylor]: Taking taylor expansion of PI in n 30.746 * [backup-simplify]: Simplify PI into PI 30.746 * [taylor]: Taking taylor expansion of n in n 30.746 * [backup-simplify]: Simplify 0 into 0 30.746 * [backup-simplify]: Simplify 1 into 1 30.747 * [backup-simplify]: Simplify (/ PI 1) into PI 30.747 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.747 * [taylor]: Taking taylor expansion of 2 in n 30.747 * [backup-simplify]: Simplify 2 into 2 30.747 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.747 * [taylor]: Taking taylor expansion of PI in n 30.747 * [backup-simplify]: Simplify PI into PI 30.747 * [taylor]: Taking taylor expansion of n in n 30.747 * [backup-simplify]: Simplify 0 into 0 30.747 * [backup-simplify]: Simplify 1 into 1 30.748 * [backup-simplify]: Simplify (/ PI 1) into PI 30.748 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.749 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.750 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.750 * [backup-simplify]: Simplify 0 into 0 30.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.752 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.752 * [backup-simplify]: Simplify 0 into 0 30.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.755 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.755 * [backup-simplify]: Simplify 0 into 0 30.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.757 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 30.757 * [backup-simplify]: Simplify 0 into 0 30.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.760 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 30.760 * [backup-simplify]: Simplify 0 into 0 30.761 * [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 30.763 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 30.763 * [backup-simplify]: Simplify 0 into 0 30.763 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 30.764 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 30.764 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 30.764 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.764 * [taylor]: Taking taylor expansion of -2 in n 30.764 * [backup-simplify]: Simplify -2 into -2 30.764 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.764 * [taylor]: Taking taylor expansion of PI in n 30.764 * [backup-simplify]: Simplify PI into PI 30.764 * [taylor]: Taking taylor expansion of n in n 30.764 * [backup-simplify]: Simplify 0 into 0 30.764 * [backup-simplify]: Simplify 1 into 1 30.765 * [backup-simplify]: Simplify (/ PI 1) into PI 30.765 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.765 * [taylor]: Taking taylor expansion of -2 in n 30.765 * [backup-simplify]: Simplify -2 into -2 30.765 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.765 * [taylor]: Taking taylor expansion of PI in n 30.765 * [backup-simplify]: Simplify PI into PI 30.765 * [taylor]: Taking taylor expansion of n in n 30.765 * [backup-simplify]: Simplify 0 into 0 30.765 * [backup-simplify]: Simplify 1 into 1 30.766 * [backup-simplify]: Simplify (/ PI 1) into PI 30.766 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.766 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.768 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 30.768 * [backup-simplify]: Simplify 0 into 0 30.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.770 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 30.771 * [backup-simplify]: Simplify 0 into 0 30.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.773 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.773 * [backup-simplify]: Simplify 0 into 0 30.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.775 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 30.775 * [backup-simplify]: Simplify 0 into 0 30.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.778 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 30.778 * [backup-simplify]: Simplify 0 into 0 30.779 * [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 30.781 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 30.781 * [backup-simplify]: Simplify 0 into 0 30.782 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 30.782 * * * * [progress]: [ 4 / 4 ] generating series at (2) 30.783 * [backup-simplify]: Simplify (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) into (* (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) (sqrt (/ 1 k))) 30.783 * [approximate]: Taking taylor expansion of (* (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) (sqrt (/ 1 k))) in (n k) around 0 30.783 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) (sqrt (/ 1 k))) in k 30.783 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in k 30.783 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in k 30.783 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in k 30.783 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in k 30.783 * [taylor]: Taking taylor expansion of 1/2 in k 30.783 * [backup-simplify]: Simplify 1/2 into 1/2 30.783 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 30.783 * [taylor]: Taking taylor expansion of 1 in k 30.783 * [backup-simplify]: Simplify 1 into 1 30.783 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.783 * [taylor]: Taking taylor expansion of k in k 30.783 * [backup-simplify]: Simplify 0 into 0 30.783 * [backup-simplify]: Simplify 1 into 1 30.784 * [backup-simplify]: Simplify (sqrt 0) into 0 30.785 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.785 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in k 30.785 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 30.785 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 30.785 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 30.785 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 30.785 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.785 * [taylor]: Taking taylor expansion of k in k 30.786 * [backup-simplify]: Simplify 0 into 0 30.786 * [backup-simplify]: Simplify 1 into 1 30.786 * [backup-simplify]: Simplify (sqrt 0) into 0 30.787 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.787 * [taylor]: Taking taylor expansion of 1 in k 30.787 * [backup-simplify]: Simplify 1 into 1 30.787 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 30.787 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 30.787 * [taylor]: Taking taylor expansion of 2 in k 30.787 * [backup-simplify]: Simplify 2 into 2 30.788 * [taylor]: Taking taylor expansion of (* n PI) in k 30.788 * [taylor]: Taking taylor expansion of n in k 30.788 * [backup-simplify]: Simplify n into n 30.788 * [taylor]: Taking taylor expansion of PI in k 30.788 * [backup-simplify]: Simplify PI into PI 30.788 * [backup-simplify]: Simplify (* n PI) into (* n PI) 30.788 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 30.788 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 30.788 * [backup-simplify]: Simplify (+ 0 1) into 1 30.788 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 30.789 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 30.789 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 30.789 * [backup-simplify]: Simplify (- 0) into 0 30.789 * [backup-simplify]: Simplify (+ 1 0) into 1 30.790 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.790 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 30.790 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 30.790 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.790 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.790 * [taylor]: Taking taylor expansion of k in k 30.790 * [backup-simplify]: Simplify 0 into 0 30.790 * [backup-simplify]: Simplify 1 into 1 30.791 * [backup-simplify]: Simplify (/ 1 1) into 1 30.791 * [backup-simplify]: Simplify (sqrt 0) into 0 30.792 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.792 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) (sqrt (/ 1 k))) in n 30.792 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 30.792 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 30.792 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 30.793 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 30.793 * [taylor]: Taking taylor expansion of 1/2 in n 30.793 * [backup-simplify]: Simplify 1/2 into 1/2 30.793 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 30.793 * [taylor]: Taking taylor expansion of 1 in n 30.793 * [backup-simplify]: Simplify 1 into 1 30.793 * [taylor]: Taking taylor expansion of (sqrt k) in n 30.793 * [taylor]: Taking taylor expansion of k in n 30.793 * [backup-simplify]: Simplify k into k 30.793 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 30.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 30.793 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 30.793 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 30.793 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 30.793 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 30.793 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 30.793 * [taylor]: Taking taylor expansion of (sqrt k) in n 30.793 * [taylor]: Taking taylor expansion of k in n 30.793 * [backup-simplify]: Simplify k into k 30.793 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 30.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 30.793 * [taylor]: Taking taylor expansion of 1 in n 30.793 * [backup-simplify]: Simplify 1 into 1 30.793 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 30.793 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.793 * [taylor]: Taking taylor expansion of 2 in n 30.793 * [backup-simplify]: Simplify 2 into 2 30.793 * [taylor]: Taking taylor expansion of (* n PI) in n 30.793 * [taylor]: Taking taylor expansion of n in n 30.794 * [backup-simplify]: Simplify 0 into 0 30.794 * [backup-simplify]: Simplify 1 into 1 30.794 * [taylor]: Taking taylor expansion of PI in n 30.794 * [backup-simplify]: Simplify PI into PI 30.794 * [backup-simplify]: Simplify (* 0 PI) into 0 30.794 * [backup-simplify]: Simplify (* 2 0) into 0 30.796 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.798 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.799 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.799 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 30.800 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.801 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 30.802 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 30.803 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 30.803 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 30.804 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 30.804 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 30.805 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 30.806 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 30.806 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 30.806 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.806 * [taylor]: Taking taylor expansion of k in n 30.806 * [backup-simplify]: Simplify k into k 30.806 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.806 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 30.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 30.806 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) (sqrt (/ 1 k))) in n 30.806 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 30.806 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 30.807 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 30.807 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 30.807 * [taylor]: Taking taylor expansion of 1/2 in n 30.807 * [backup-simplify]: Simplify 1/2 into 1/2 30.807 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 30.807 * [taylor]: Taking taylor expansion of 1 in n 30.807 * [backup-simplify]: Simplify 1 into 1 30.807 * [taylor]: Taking taylor expansion of (sqrt k) in n 30.807 * [taylor]: Taking taylor expansion of k in n 30.807 * [backup-simplify]: Simplify k into k 30.807 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 30.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 30.807 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 30.807 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 30.807 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 30.807 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 30.807 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 30.807 * [taylor]: Taking taylor expansion of (sqrt k) in n 30.807 * [taylor]: Taking taylor expansion of k in n 30.807 * [backup-simplify]: Simplify k into k 30.807 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 30.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 30.807 * [taylor]: Taking taylor expansion of 1 in n 30.807 * [backup-simplify]: Simplify 1 into 1 30.807 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 30.807 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.807 * [taylor]: Taking taylor expansion of 2 in n 30.807 * [backup-simplify]: Simplify 2 into 2 30.807 * [taylor]: Taking taylor expansion of (* n PI) in n 30.807 * [taylor]: Taking taylor expansion of n in n 30.807 * [backup-simplify]: Simplify 0 into 0 30.807 * [backup-simplify]: Simplify 1 into 1 30.807 * [taylor]: Taking taylor expansion of PI in n 30.808 * [backup-simplify]: Simplify PI into PI 30.808 * [backup-simplify]: Simplify (* 0 PI) into 0 30.808 * [backup-simplify]: Simplify (* 2 0) into 0 30.810 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.811 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.812 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.812 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 30.814 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.815 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 30.816 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 30.817 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 30.817 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 30.817 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 30.817 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 30.818 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 30.819 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 30.819 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 30.819 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.819 * [taylor]: Taking taylor expansion of k in n 30.819 * [backup-simplify]: Simplify k into k 30.820 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.820 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 30.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 30.821 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (sqrt (/ 1 k))) 30.821 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (sqrt (/ 1 k))) in k 30.821 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) in k 30.821 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) in k 30.821 * [taylor]: Taking taylor expansion of 1/2 in k 30.821 * [backup-simplify]: Simplify 1/2 into 1/2 30.821 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))) in k 30.821 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 30.821 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.821 * [taylor]: Taking taylor expansion of k in k 30.821 * [backup-simplify]: Simplify 0 into 0 30.821 * [backup-simplify]: Simplify 1 into 1 30.822 * [backup-simplify]: Simplify (sqrt 0) into 0 30.823 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.823 * [taylor]: Taking taylor expansion of 1 in k 30.823 * [backup-simplify]: Simplify 1 into 1 30.824 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))) in k 30.824 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 30.824 * [taylor]: Taking taylor expansion of 1 in k 30.824 * [backup-simplify]: Simplify 1 into 1 30.824 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.824 * [taylor]: Taking taylor expansion of k in k 30.824 * [backup-simplify]: Simplify 0 into 0 30.824 * [backup-simplify]: Simplify 1 into 1 30.824 * [backup-simplify]: Simplify (sqrt 0) into 0 30.825 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.825 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 30.825 * [taylor]: Taking taylor expansion of (log n) in k 30.825 * [taylor]: Taking taylor expansion of n in k 30.825 * [backup-simplify]: Simplify n into n 30.825 * [backup-simplify]: Simplify (log n) into (log n) 30.826 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.826 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.826 * [taylor]: Taking taylor expansion of 2 in k 30.826 * [backup-simplify]: Simplify 2 into 2 30.826 * [taylor]: Taking taylor expansion of PI in k 30.826 * [backup-simplify]: Simplify PI into PI 30.826 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.827 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.828 * [backup-simplify]: Simplify (+ 0 1) into 1 30.828 * [backup-simplify]: Simplify (- 0) into 0 30.828 * [backup-simplify]: Simplify (+ 1 0) into 1 30.829 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.830 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 30.831 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 30.832 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 30.833 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 30.834 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.834 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.834 * [taylor]: Taking taylor expansion of k in k 30.834 * [backup-simplify]: Simplify 0 into 0 30.834 * [backup-simplify]: Simplify 1 into 1 30.834 * [backup-simplify]: Simplify (/ 1 1) into 1 30.834 * [backup-simplify]: Simplify (sqrt 0) into 0 30.836 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.837 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 30.837 * [backup-simplify]: Simplify 0 into 0 30.838 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 30.839 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 30.841 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.841 * [backup-simplify]: Simplify (+ 0 0) into 0 30.842 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.844 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 30.845 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.847 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 1) into 0 30.848 * [backup-simplify]: Simplify (- 0) into 0 30.848 * [backup-simplify]: Simplify (+ 0 0) into 0 30.849 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt k)))) into 0 30.850 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into 0 30.852 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.853 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 30.853 * [taylor]: Taking taylor expansion of 0 in k 30.853 * [backup-simplify]: Simplify 0 into 0 30.854 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 30.855 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.857 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.857 * [backup-simplify]: Simplify (+ 0 0) into 0 30.858 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.859 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 30.860 * [backup-simplify]: Simplify (+ (* 1 0) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 30.861 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.864 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.868 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.872 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 30.883 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 30.884 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 30.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.886 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 30.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 30.888 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 30.893 * [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 30.894 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 30.894 * [backup-simplify]: Simplify (+ 0 0) into 0 30.896 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.897 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 30.900 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.906 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 2) into 0 30.908 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 30.908 * [backup-simplify]: Simplify (- 0) into 0 30.909 * [backup-simplify]: Simplify (+ 0 0) into 0 30.910 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt k))))) into 0 30.912 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))))) into 0 30.914 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.916 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 30.916 * [taylor]: Taking taylor expansion of 0 in k 30.916 * [backup-simplify]: Simplify 0 into 0 30.916 * [backup-simplify]: Simplify 0 into 0 30.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.920 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.922 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 30.923 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.927 * [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 30.927 * [backup-simplify]: Simplify (+ 0 0) into 0 30.931 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.931 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.932 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 30.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.938 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.938 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.944 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.951 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.958 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 30.970 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 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)))))))) 30.974 * [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)))))))) 30.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.976 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 30.977 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 30.979 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 30.985 * [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 30.986 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 30.986 * [backup-simplify]: Simplify (+ 0 0) into 0 30.988 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.989 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 30.992 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 30.998 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 6) into 0 30.999 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 30.999 * [backup-simplify]: Simplify (- 0) into 0 31.000 * [backup-simplify]: Simplify (+ 0 0) into 0 31.001 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (sqrt k)))))) into 0 31.003 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))))) into 0 31.006 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 31.008 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 31.008 * [taylor]: Taking taylor expansion of 0 in k 31.008 * [backup-simplify]: Simplify 0 into 0 31.008 * [backup-simplify]: Simplify 0 into 0 31.008 * [backup-simplify]: Simplify 0 into 0 31.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.013 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.016 * [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 31.017 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 31.023 * [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 31.024 * [backup-simplify]: Simplify (+ 0 0) into 0 31.028 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.035 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 31.036 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 31.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (+ (log n) (log (* 2 PI))))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 31.044 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.044 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 31.053 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI))))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 31.062 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI))))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 31.074 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 3) 6)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1) (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log n) 3)) (- (+ (* +nan.0 (* (pow (log n) 2) (log (* 2 PI)))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 3)) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (* (log n) (pow (log (* 2 PI)) 2))))))))))))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 31.095 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log n) 3)) (- (+ (* +nan.0 (* (pow (log n) 2) (log (* 2 PI)))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 3)) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (* (log n) (pow (log (* 2 PI)) 2))))))))))))))))))) (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)))))))))))))) 31.102 * [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)))))))))))))) 31.114 * [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)))))))))))))))))))))) 31.115 * [backup-simplify]: Simplify (/ (pow (pow (* (/ 1 n) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 k))) 1)) (/ (- 1 (sqrt (/ 1 k))) 2)) (sqrt (/ 1 k))) into (* (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) (sqrt k)) 31.115 * [approximate]: Taking taylor expansion of (* (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) (sqrt k)) in (n k) around 0 31.115 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) (sqrt k)) in k 31.115 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in k 31.115 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in k 31.115 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in k 31.115 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in k 31.115 * [taylor]: Taking taylor expansion of 1/2 in k 31.115 * [backup-simplify]: Simplify 1/2 into 1/2 31.115 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 31.115 * [taylor]: Taking taylor expansion of 1 in k 31.115 * [backup-simplify]: Simplify 1 into 1 31.115 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 31.115 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.115 * [taylor]: Taking taylor expansion of k in k 31.115 * [backup-simplify]: Simplify 0 into 0 31.115 * [backup-simplify]: Simplify 1 into 1 31.115 * [backup-simplify]: Simplify (/ 1 1) into 1 31.116 * [backup-simplify]: Simplify (sqrt 0) into 0 31.117 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.117 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in k 31.117 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 31.117 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 31.117 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 31.117 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 31.117 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 31.117 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.117 * [taylor]: Taking taylor expansion of k in k 31.117 * [backup-simplify]: Simplify 0 into 0 31.117 * [backup-simplify]: Simplify 1 into 1 31.117 * [backup-simplify]: Simplify (/ 1 1) into 1 31.117 * [backup-simplify]: Simplify (sqrt 0) into 0 31.118 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.118 * [taylor]: Taking taylor expansion of 1 in k 31.118 * [backup-simplify]: Simplify 1 into 1 31.118 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 31.118 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 31.118 * [taylor]: Taking taylor expansion of 2 in k 31.118 * [backup-simplify]: Simplify 2 into 2 31.118 * [taylor]: Taking taylor expansion of (/ PI n) in k 31.118 * [taylor]: Taking taylor expansion of PI in k 31.118 * [backup-simplify]: Simplify PI into PI 31.118 * [taylor]: Taking taylor expansion of n in k 31.118 * [backup-simplify]: Simplify n into n 31.118 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 31.118 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 31.119 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 31.119 * [backup-simplify]: Simplify (+ 0 0) into 0 31.119 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 31.119 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 31.119 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 31.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 31.120 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 31.121 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 31.121 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 31.121 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 31.121 * [backup-simplify]: Simplify (- 0) into 0 31.121 * [backup-simplify]: Simplify (+ 0 0) into 0 31.122 * [backup-simplify]: Simplify (* 1/2 0) into 0 31.122 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* 2 (/ PI n)))))) into 0 31.122 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 31.123 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 31.124 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 1)))) 2) into 0 31.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.126 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.126 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 31.127 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n)))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 31.127 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) 31.127 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* 2 (/ PI n)))) 31.128 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 31.128 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 31.130 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 31.131 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 31.131 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 31.131 * [taylor]: Taking taylor expansion of (sqrt k) in k 31.131 * [taylor]: Taking taylor expansion of k in k 31.131 * [backup-simplify]: Simplify 0 into 0 31.131 * [backup-simplify]: Simplify 1 into 1 31.131 * [backup-simplify]: Simplify (sqrt 0) into 0 31.133 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.133 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) (sqrt k)) in n 31.133 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 31.133 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 31.133 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 31.133 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 31.133 * [taylor]: Taking taylor expansion of 1/2 in n 31.133 * [backup-simplify]: Simplify 1/2 into 1/2 31.133 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 31.133 * [taylor]: Taking taylor expansion of 1 in n 31.133 * [backup-simplify]: Simplify 1 into 1 31.133 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 31.133 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.133 * [taylor]: Taking taylor expansion of k in n 31.133 * [backup-simplify]: Simplify k into k 31.133 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.133 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 31.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 31.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 31.133 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 31.133 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 31.133 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 31.134 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 31.134 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 31.134 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 31.134 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.134 * [taylor]: Taking taylor expansion of k in n 31.134 * [backup-simplify]: Simplify k into k 31.134 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.134 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 31.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 31.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 31.134 * [taylor]: Taking taylor expansion of 1 in n 31.134 * [backup-simplify]: Simplify 1 into 1 31.134 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 31.134 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 31.134 * [taylor]: Taking taylor expansion of 2 in n 31.134 * [backup-simplify]: Simplify 2 into 2 31.134 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.134 * [taylor]: Taking taylor expansion of PI in n 31.134 * [backup-simplify]: Simplify PI into PI 31.134 * [taylor]: Taking taylor expansion of n in n 31.134 * [backup-simplify]: Simplify 0 into 0 31.134 * [backup-simplify]: Simplify 1 into 1 31.135 * [backup-simplify]: Simplify (/ PI 1) into PI 31.135 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.136 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.136 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 31.138 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.139 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 31.140 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 31.146 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 31.146 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 31.146 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 31.146 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 31.147 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 31.148 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 31.148 * [taylor]: Taking taylor expansion of (sqrt k) in n 31.148 * [taylor]: Taking taylor expansion of k in n 31.148 * [backup-simplify]: Simplify k into k 31.148 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 31.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 31.148 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) (sqrt k)) in n 31.148 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 31.148 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 31.148 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 31.148 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 31.148 * [taylor]: Taking taylor expansion of 1/2 in n 31.148 * [backup-simplify]: Simplify 1/2 into 1/2 31.148 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 31.148 * [taylor]: Taking taylor expansion of 1 in n 31.148 * [backup-simplify]: Simplify 1 into 1 31.148 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 31.148 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.148 * [taylor]: Taking taylor expansion of k in n 31.148 * [backup-simplify]: Simplify k into k 31.148 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.148 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 31.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 31.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 31.148 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 31.148 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 31.148 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 31.148 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 31.148 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 31.148 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 31.148 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.148 * [taylor]: Taking taylor expansion of k in n 31.148 * [backup-simplify]: Simplify k into k 31.149 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.149 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 31.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 31.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 31.149 * [taylor]: Taking taylor expansion of 1 in n 31.149 * [backup-simplify]: Simplify 1 into 1 31.149 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 31.149 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 31.149 * [taylor]: Taking taylor expansion of 2 in n 31.149 * [backup-simplify]: Simplify 2 into 2 31.149 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.149 * [taylor]: Taking taylor expansion of PI in n 31.149 * [backup-simplify]: Simplify PI into PI 31.149 * [taylor]: Taking taylor expansion of n in n 31.149 * [backup-simplify]: Simplify 0 into 0 31.149 * [backup-simplify]: Simplify 1 into 1 31.149 * [backup-simplify]: Simplify (/ PI 1) into PI 31.150 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.150 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.150 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 31.151 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.152 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 31.153 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 31.153 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 31.153 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 31.153 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 31.153 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 31.154 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 31.155 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 31.155 * [taylor]: Taking taylor expansion of (sqrt k) in n 31.155 * [taylor]: Taking taylor expansion of k in n 31.155 * [backup-simplify]: Simplify k into k 31.155 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 31.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 31.156 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (sqrt k)) into (* (sqrt k) (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 31.156 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))))) in k 31.156 * [taylor]: Taking taylor expansion of (sqrt k) in k 31.156 * [taylor]: Taking taylor expansion of k in k 31.156 * [backup-simplify]: Simplify 0 into 0 31.156 * [backup-simplify]: Simplify 1 into 1 31.156 * [backup-simplify]: Simplify (sqrt 0) into 0 31.157 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.157 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) in k 31.157 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) in k 31.157 * [taylor]: Taking taylor expansion of 1/2 in k 31.157 * [backup-simplify]: Simplify 1/2 into 1/2 31.157 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 31.157 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 31.157 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 31.157 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.157 * [taylor]: Taking taylor expansion of k in k 31.157 * [backup-simplify]: Simplify 0 into 0 31.157 * [backup-simplify]: Simplify 1 into 1 31.158 * [backup-simplify]: Simplify (/ 1 1) into 1 31.158 * [backup-simplify]: Simplify (sqrt 0) into 0 31.159 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.159 * [taylor]: Taking taylor expansion of 1 in k 31.159 * [backup-simplify]: Simplify 1 into 1 31.159 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 31.159 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 31.159 * [taylor]: Taking taylor expansion of 1 in k 31.159 * [backup-simplify]: Simplify 1 into 1 31.159 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 31.159 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.159 * [taylor]: Taking taylor expansion of k in k 31.159 * [backup-simplify]: Simplify 0 into 0 31.159 * [backup-simplify]: Simplify 1 into 1 31.159 * [backup-simplify]: Simplify (/ 1 1) into 1 31.159 * [backup-simplify]: Simplify (sqrt 0) into 0 31.160 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.160 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 31.160 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 31.160 * [taylor]: Taking taylor expansion of (* 2 PI) in k 31.160 * [taylor]: Taking taylor expansion of 2 in k 31.160 * [backup-simplify]: Simplify 2 into 2 31.160 * [taylor]: Taking taylor expansion of PI in k 31.160 * [backup-simplify]: Simplify PI into PI 31.161 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.161 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.161 * [taylor]: Taking taylor expansion of (log n) in k 31.161 * [taylor]: Taking taylor expansion of n in k 31.161 * [backup-simplify]: Simplify n into n 31.161 * [backup-simplify]: Simplify (log n) into (log n) 31.161 * [backup-simplify]: Simplify (+ 0 0) into 0 31.162 * [backup-simplify]: Simplify (- 0) into 0 31.162 * [backup-simplify]: Simplify (+ 0 0) into 0 31.162 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 31.163 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 31.163 * [backup-simplify]: Simplify (* 0 (- (log (* 2 PI)) (log n))) into 0 31.163 * [backup-simplify]: Simplify (* 0 0) into 0 31.164 * [backup-simplify]: Simplify (* 1/2 0) into 0 31.164 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 31.165 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 31.166 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 31.166 * [backup-simplify]: Simplify (- 0) into 0 31.166 * [backup-simplify]: Simplify (+ 0 0) into 0 31.166 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 31.167 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 31.168 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 31.168 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 31.170 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)) into 0 31.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 0)) into 0 31.171 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 31.173 * [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 31.175 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 31.175 * [backup-simplify]: Simplify (- 0) into 0 31.176 * [backup-simplify]: Simplify (+ 0 0) into 0 31.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.180 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.180 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 31.181 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 31.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 31.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.186 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.187 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 31.190 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 31.191 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 31.193 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 31.195 * [backup-simplify]: Simplify (* 0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) into 0 31.195 * [backup-simplify]: Simplify 0 into 0 31.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 31.196 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 31.197 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 31.197 * [backup-simplify]: Simplify (+ 0 0) into 0 31.198 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.199 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 31.200 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 31.201 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 1) into 0 31.201 * [backup-simplify]: Simplify (- 0) into 0 31.201 * [backup-simplify]: Simplify (+ 0 0) into 0 31.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt (/ 1 k))))) into 0 31.202 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into 0 31.204 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 1) 1)))) into 0 31.205 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 0) (* 0 (sqrt k))) into 0 31.205 * [taylor]: Taking taylor expansion of 0 in k 31.205 * [backup-simplify]: Simplify 0 into 0 31.205 * [backup-simplify]: Simplify 0 into 0 31.206 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 31.209 * [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 31.211 * [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 31.211 * [backup-simplify]: Simplify (- 0) into 0 31.211 * [backup-simplify]: Simplify (+ 0 0) into 0 31.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.215 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.216 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 31.217 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 31.220 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 31.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.225 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.226 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 31.235 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 31.239 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 31.245 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 31.256 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 31.258 * [backup-simplify]: Simplify (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 31.259 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 31.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.260 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 31.262 * [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 31.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.262 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 31.263 * [backup-simplify]: Simplify (+ 0 0) into 0 31.264 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.265 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 31.266 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 31.269 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 2) into 0 31.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.269 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 31.270 * [backup-simplify]: Simplify (- 0) into 0 31.270 * [backup-simplify]: Simplify (+ 0 0) into 0 31.270 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ 1 k)))))) into 0 31.271 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))))) into 0 31.273 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 31.274 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 31.274 * [taylor]: Taking taylor expansion of 0 in k 31.274 * [backup-simplify]: Simplify 0 into 0 31.274 * [backup-simplify]: Simplify 0 into 0 31.274 * [backup-simplify]: Simplify 0 into 0 31.275 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 31.281 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0 31.284 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 31.285 * [backup-simplify]: Simplify (- 0) into 0 31.285 * [backup-simplify]: Simplify (+ 0 0) into 0 31.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.291 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.291 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 31.292 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 31.296 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 31.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.301 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.302 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 31.313 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 31.317 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 31.322 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 31.324 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.335 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) (+ (* +nan.0 (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) into (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log n))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))) 31.341 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log n))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))) into (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log n))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))) 31.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 31.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.343 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 31.346 * [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 31.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 31.347 * [backup-simplify]: Simplify (+ 0 0) into 0 31.348 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.349 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 31.350 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 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 31.361 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 6) into 0 31.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.362 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 31.362 * [backup-simplify]: Simplify (- 0) into 0 31.363 * [backup-simplify]: Simplify (+ 0 0) into 0 31.363 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ 1 k))))))) into 0 31.365 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))))) into 0 31.367 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 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 31.368 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 31.368 * [taylor]: Taking taylor expansion of 0 in k 31.368 * [backup-simplify]: Simplify 0 into 0 31.368 * [backup-simplify]: Simplify 0 into 0 31.368 * [backup-simplify]: Simplify 0 into 0 31.368 * [backup-simplify]: Simplify 0 into 0 31.369 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 31.379 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 2 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 2 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 1)))) 120) into 0 31.384 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow n 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow n 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow n 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow n 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow n 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow n 1)))) 120) into 0 31.384 * [backup-simplify]: Simplify (- 0) into 0 31.384 * [backup-simplify]: Simplify (+ 0 0) into 0 31.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)) (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.388 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 31.389 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 31.391 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 31.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.396 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)) (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.396 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 31.410 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 31.418 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 31.431 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 3) 6)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1) (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log n) 3)) (- (+ (* +nan.0 (* (pow (log n) 2) (log (* 2 PI)))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 3)) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (* (log n) (pow (log (* 2 PI)) 2))))))))))))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 31.436 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.469 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log n) 3)) (- (+ (* +nan.0 (* (pow (log n) 2) (log (* 2 PI)))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 3)) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (* (log n) (pow (log (* 2 PI)) 2))))))))))))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) (+ (* +nan.0 (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) (+ (* +nan.0 (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (pow (log n) 2))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))))))))) 31.497 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (pow (log n) 2))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))))))))) into (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (pow (log n) 2))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))))))))) 31.536 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI))))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))))))))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n)))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) k)) (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 3)))))))))))))))))))))) 31.537 * [backup-simplify]: Simplify (/ (pow (pow (* (/ 1 (- n)) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 (- k)))) 1)) (/ (- 1 (sqrt (/ 1 (- k)))) 2)) (sqrt (/ 1 (- k)))) into (/ (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) (sqrt (/ -1 k))) 31.537 * [approximate]: Taking taylor expansion of (/ (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) (sqrt (/ -1 k))) in (n k) around 0 31.537 * [taylor]: Taking taylor expansion of (/ (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) (sqrt (/ -1 k))) in k 31.538 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in k 31.538 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in k 31.538 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in k 31.538 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in k 31.538 * [taylor]: Taking taylor expansion of 1/2 in k 31.538 * [backup-simplify]: Simplify 1/2 into 1/2 31.538 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 31.538 * [taylor]: Taking taylor expansion of 1 in k 31.538 * [backup-simplify]: Simplify 1 into 1 31.538 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 31.538 * [taylor]: Taking taylor expansion of (/ -1 k) in k 31.538 * [taylor]: Taking taylor expansion of -1 in k 31.538 * [backup-simplify]: Simplify -1 into -1 31.538 * [taylor]: Taking taylor expansion of k in k 31.538 * [backup-simplify]: Simplify 0 into 0 31.538 * [backup-simplify]: Simplify 1 into 1 31.538 * [backup-simplify]: Simplify (/ -1 1) into -1 31.539 * [backup-simplify]: Simplify (sqrt 0) into 0 31.540 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 31.540 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in k 31.540 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 31.540 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 31.541 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 31.541 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 31.541 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 31.541 * [taylor]: Taking taylor expansion of (/ -1 k) in k 31.541 * [taylor]: Taking taylor expansion of -1 in k 31.541 * [backup-simplify]: Simplify -1 into -1 31.541 * [taylor]: Taking taylor expansion of k in k 31.541 * [backup-simplify]: Simplify 0 into 0 31.541 * [backup-simplify]: Simplify 1 into 1 31.541 * [backup-simplify]: Simplify (/ -1 1) into -1 31.542 * [backup-simplify]: Simplify (sqrt 0) into 0 31.543 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 31.543 * [taylor]: Taking taylor expansion of 1 in k 31.543 * [backup-simplify]: Simplify 1 into 1 31.543 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 31.543 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 31.543 * [taylor]: Taking taylor expansion of -2 in k 31.543 * [backup-simplify]: Simplify -2 into -2 31.543 * [taylor]: Taking taylor expansion of (/ PI n) in k 31.543 * [taylor]: Taking taylor expansion of PI in k 31.543 * [backup-simplify]: Simplify PI into PI 31.543 * [taylor]: Taking taylor expansion of n in k 31.543 * [backup-simplify]: Simplify n into n 31.543 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 31.543 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 31.544 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 31.544 * [backup-simplify]: Simplify (+ 0 0) into 0 31.544 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 31.544 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 31.545 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 31.546 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 31.546 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 31.547 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 31.547 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 31.547 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 31.548 * [backup-simplify]: Simplify (- 0) into 0 31.548 * [backup-simplify]: Simplify (+ 0 0) into 0 31.549 * [backup-simplify]: Simplify (* 1/2 0) into 0 31.549 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* -2 (/ PI n)))))) into 0 31.549 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 31.550 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 31.552 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (/ PI n)) 1)))) 2) into 0 31.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 31.556 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.557 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 31.558 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* -2 (/ PI n)))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 31.558 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 31.559 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* -2 (/ PI n)))) 31.560 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 31.560 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 31.563 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 31.563 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* -2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 31.563 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 31.563 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 31.563 * [taylor]: Taking taylor expansion of (/ -1 k) in k 31.564 * [taylor]: Taking taylor expansion of -1 in k 31.564 * [backup-simplify]: Simplify -1 into -1 31.564 * [taylor]: Taking taylor expansion of k in k 31.564 * [backup-simplify]: Simplify 0 into 0 31.564 * [backup-simplify]: Simplify 1 into 1 31.564 * [backup-simplify]: Simplify (/ -1 1) into -1 31.564 * [backup-simplify]: Simplify (sqrt 0) into 0 31.566 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 31.566 * [backup-simplify]: Simplify (/ (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) 31.566 * [taylor]: Taking taylor expansion of (/ (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) (sqrt (/ -1 k))) in n 31.566 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 31.566 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 31.566 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 31.566 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 31.566 * [taylor]: Taking taylor expansion of 1/2 in n 31.566 * [backup-simplify]: Simplify 1/2 into 1/2 31.566 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 31.566 * [taylor]: Taking taylor expansion of 1 in n 31.566 * [backup-simplify]: Simplify 1 into 1 31.566 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 31.567 * [taylor]: Taking taylor expansion of (/ -1 k) in n 31.567 * [taylor]: Taking taylor expansion of -1 in n 31.567 * [backup-simplify]: Simplify -1 into -1 31.567 * [taylor]: Taking taylor expansion of k in n 31.567 * [backup-simplify]: Simplify k into k 31.567 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 31.567 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 31.567 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 31.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 31.567 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 31.567 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 31.567 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 31.567 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 31.567 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 31.567 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 31.567 * [taylor]: Taking taylor expansion of (/ -1 k) in n 31.567 * [taylor]: Taking taylor expansion of -1 in n 31.567 * [backup-simplify]: Simplify -1 into -1 31.567 * [taylor]: Taking taylor expansion of k in n 31.567 * [backup-simplify]: Simplify k into k 31.567 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 31.567 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 31.568 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 31.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 31.568 * [taylor]: Taking taylor expansion of 1 in n 31.568 * [backup-simplify]: Simplify 1 into 1 31.568 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 31.568 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 31.568 * [taylor]: Taking taylor expansion of -2 in n 31.568 * [backup-simplify]: Simplify -2 into -2 31.568 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.568 * [taylor]: Taking taylor expansion of PI in n 31.568 * [backup-simplify]: Simplify PI into PI 31.568 * [taylor]: Taking taylor expansion of n in n 31.568 * [backup-simplify]: Simplify 0 into 0 31.568 * [backup-simplify]: Simplify 1 into 1 31.569 * [backup-simplify]: Simplify (/ PI 1) into PI 31.569 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 31.570 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 31.570 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 31.572 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 31.573 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 31.574 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 31.575 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 31.575 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 31.575 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 31.575 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 31.577 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 31.578 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 31.578 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 31.578 * [taylor]: Taking taylor expansion of (/ -1 k) in n 31.578 * [taylor]: Taking taylor expansion of -1 in n 31.578 * [backup-simplify]: Simplify -1 into -1 31.578 * [taylor]: Taking taylor expansion of k in n 31.578 * [backup-simplify]: Simplify k into k 31.578 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 31.578 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 31.578 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 31.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 31.580 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (sqrt (/ -1 k))) 31.580 * [taylor]: Taking taylor expansion of (/ (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) (sqrt (/ -1 k))) in n 31.580 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 31.580 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 31.580 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 31.580 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 31.580 * [taylor]: Taking taylor expansion of 1/2 in n 31.580 * [backup-simplify]: Simplify 1/2 into 1/2 31.580 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 31.580 * [taylor]: Taking taylor expansion of 1 in n 31.580 * [backup-simplify]: Simplify 1 into 1 31.580 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 31.580 * [taylor]: Taking taylor expansion of (/ -1 k) in n 31.580 * [taylor]: Taking taylor expansion of -1 in n 31.580 * [backup-simplify]: Simplify -1 into -1 31.580 * [taylor]: Taking taylor expansion of k in n 31.580 * [backup-simplify]: Simplify k into k 31.580 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 31.581 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 31.581 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 31.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 31.581 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 31.581 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 31.581 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 31.581 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 31.581 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 31.581 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 31.581 * [taylor]: Taking taylor expansion of (/ -1 k) in n 31.581 * [taylor]: Taking taylor expansion of -1 in n 31.581 * [backup-simplify]: Simplify -1 into -1 31.581 * [taylor]: Taking taylor expansion of k in n 31.581 * [backup-simplify]: Simplify k into k 31.581 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 31.581 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 31.581 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 31.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 31.581 * [taylor]: Taking taylor expansion of 1 in n 31.581 * [backup-simplify]: Simplify 1 into 1 31.581 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 31.581 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 31.581 * [taylor]: Taking taylor expansion of -2 in n 31.581 * [backup-simplify]: Simplify -2 into -2 31.581 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.581 * [taylor]: Taking taylor expansion of PI in n 31.581 * [backup-simplify]: Simplify PI into PI 31.581 * [taylor]: Taking taylor expansion of n in n 31.581 * [backup-simplify]: Simplify 0 into 0 31.581 * [backup-simplify]: Simplify 1 into 1 31.582 * [backup-simplify]: Simplify (/ PI 1) into PI 31.582 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 31.582 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 31.583 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 31.583 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 31.584 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 31.585 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 31.585 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 31.585 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 31.586 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 31.586 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 31.586 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 31.587 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 31.587 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 31.587 * [taylor]: Taking taylor expansion of (/ -1 k) in n 31.587 * [taylor]: Taking taylor expansion of -1 in n 31.587 * [backup-simplify]: Simplify -1 into -1 31.587 * [taylor]: Taking taylor expansion of k in n 31.587 * [backup-simplify]: Simplify k into k 31.587 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 31.587 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 31.587 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 31.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 31.588 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (sqrt (/ -1 k))) 31.588 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (sqrt (/ -1 k))) in k 31.588 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) in k 31.588 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) in k 31.588 * [taylor]: Taking taylor expansion of 1/2 in k 31.588 * [backup-simplify]: Simplify 1/2 into 1/2 31.588 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) in k 31.588 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 31.588 * [taylor]: Taking taylor expansion of 1 in k 31.588 * [backup-simplify]: Simplify 1 into 1 31.588 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 31.588 * [taylor]: Taking taylor expansion of (/ -1 k) in k 31.588 * [taylor]: Taking taylor expansion of -1 in k 31.588 * [backup-simplify]: Simplify -1 into -1 31.588 * [taylor]: Taking taylor expansion of k in k 31.588 * [backup-simplify]: Simplify 0 into 0 31.588 * [backup-simplify]: Simplify 1 into 1 31.589 * [backup-simplify]: Simplify (/ -1 1) into -1 31.589 * [backup-simplify]: Simplify (sqrt 0) into 0 31.590 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 31.590 * [taylor]: Taking taylor expansion of (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) in k 31.590 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 31.590 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 31.590 * [taylor]: Taking taylor expansion of (* -2 PI) in k 31.590 * [taylor]: Taking taylor expansion of -2 in k 31.590 * [backup-simplify]: Simplify -2 into -2 31.590 * [taylor]: Taking taylor expansion of PI in k 31.590 * [backup-simplify]: Simplify PI into PI 31.590 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 31.591 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 31.591 * [taylor]: Taking taylor expansion of (log n) in k 31.591 * [taylor]: Taking taylor expansion of n in k 31.591 * [backup-simplify]: Simplify n into n 31.591 * [backup-simplify]: Simplify (log n) into (log n) 31.591 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 31.591 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 31.591 * [taylor]: Taking taylor expansion of (/ -1 k) in k 31.591 * [taylor]: Taking taylor expansion of -1 in k 31.591 * [backup-simplify]: Simplify -1 into -1 31.591 * [taylor]: Taking taylor expansion of k in k 31.591 * [backup-simplify]: Simplify 0 into 0 31.591 * [backup-simplify]: Simplify 1 into 1 31.591 * [backup-simplify]: Simplify (/ -1 1) into -1 31.591 * [backup-simplify]: Simplify (sqrt 0) into 0 31.592 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 31.592 * [taylor]: Taking taylor expansion of 1 in k 31.592 * [backup-simplify]: Simplify 1 into 1 31.593 * [backup-simplify]: Simplify (- 0) into 0 31.593 * [backup-simplify]: Simplify (+ 0 0) into 0 31.593 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 31.593 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 31.594 * [backup-simplify]: Simplify (+ 0 0) into 0 31.594 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) 0) into 0 31.595 * [backup-simplify]: Simplify (* 0 0) into 0 31.595 * [backup-simplify]: Simplify (* 1/2 0) into 0 31.595 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 31.596 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 31.597 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 31.597 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 31.598 * [backup-simplify]: Simplify (- 0) into 0 31.598 * [backup-simplify]: Simplify (+ 0 0) into 0 31.599 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (* 0 0)) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 31.599 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 31.600 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 31.601 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0)) into 0 31.602 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 0)) into 0 31.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 31.609 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.609 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 31.610 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 31.614 * [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 31.616 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 31.616 * [backup-simplify]: Simplify (- 0) into 0 31.617 * [backup-simplify]: Simplify (+ 0 0) into 0 31.619 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 31.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 31.623 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.623 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 31.625 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 31.628 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 31.630 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 31.631 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 31.631 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 31.631 * [taylor]: Taking taylor expansion of (/ -1 k) in k 31.631 * [taylor]: Taking taylor expansion of -1 in k 31.631 * [backup-simplify]: Simplify -1 into -1 31.631 * [taylor]: Taking taylor expansion of k in k 31.631 * [backup-simplify]: Simplify 0 into 0 31.632 * [backup-simplify]: Simplify 1 into 1 31.632 * [backup-simplify]: Simplify (/ -1 1) into -1 31.632 * [backup-simplify]: Simplify (sqrt 0) into 0 31.633 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 31.634 * [backup-simplify]: Simplify (/ (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) +nan.0) into (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 31.636 * [backup-simplify]: Simplify (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) into (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 31.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 31.637 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 31.638 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 31.638 * [backup-simplify]: Simplify (+ 0 0) into 0 31.639 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 31.640 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 31.641 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 31.642 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 1)))) 1) into 0 31.643 * [backup-simplify]: Simplify (- 0) into 0 31.643 * [backup-simplify]: Simplify (+ 0 0) into 0 31.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt (/ -1 k))))) into 0 31.644 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ -1 k)))) 0) (* 0 (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into 0 31.645 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 31.646 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 31.646 * [taylor]: Taking taylor expansion of 0 in k 31.646 * [backup-simplify]: Simplify 0 into 0 31.646 * [backup-simplify]: Simplify 0 into 0 31.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.649 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.650 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 31.650 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 31.654 * [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 31.657 * [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 31.657 * [backup-simplify]: Simplify (- 0) into 0 31.658 * [backup-simplify]: Simplify (+ 0 0) into 0 31.660 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 31.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.666 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 31.667 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 31.676 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 31.679 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 31.682 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 31.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 31.684 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.689 * [backup-simplify]: Simplify (- (/ (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) +nan.0) (+ (* (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) (/ +nan.0 +nan.0)))) into (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 31.695 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) into (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 31.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.696 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 31.698 * [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 31.699 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.699 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 31.699 * [backup-simplify]: Simplify (+ 0 0) into 0 31.700 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 31.701 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 31.703 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 31.705 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 1)))) 2) into 0 31.706 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.713 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 31.714 * [backup-simplify]: Simplify (- 0) into 0 31.714 * [backup-simplify]: Simplify (+ 0 0) into 0 31.715 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ -1 k)))))) into 0 31.717 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ -1 k)))) 0) (+ (* 0 0) (* 0 (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into 0 31.720 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 31.720 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.721 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 31.723 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 31.723 * [taylor]: Taking taylor expansion of 0 in k 31.723 * [backup-simplify]: Simplify 0 into 0 31.723 * [backup-simplify]: Simplify 0 into 0 31.723 * [backup-simplify]: Simplify 0 into 0 31.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.731 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.732 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 31.733 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 31.746 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -2 PI) 1)))) 24) into 0 31.751 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 31.752 * [backup-simplify]: Simplify (- 0) into 0 31.752 * [backup-simplify]: Simplify (+ 0 0) into 0 31.755 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 31.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.761 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.761 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 31.762 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 31.774 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 31.780 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 31.789 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 31.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.794 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.816 * [backup-simplify]: Simplify (- (/ (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) +nan.0) (+ (* (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) (/ +nan.0 +nan.0)) (* (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) (/ +nan.0 +nan.0)))) into (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log n))) (- (+ (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) (- (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (log n) (log (* -2 PI)))))))))))))))) 31.838 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log n))) (- (+ (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) (- (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (log n) (log (* -2 PI)))))))))))))))) into (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log n))) (- (+ (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) (- (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (log n) (log (* -2 PI)))))))))))))))) 31.879 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (/ 1 (- n))) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (log (/ 1 (- n))))) (- (+ (* +nan.0 (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))) (- (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (* (log (/ 1 (- n))) (log (* -2 PI)))))))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (log (/ 1 (- n))))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))) into (- (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))))))))) 31.880 * * * [progress]: simplifying candidates 31.880 * * * * [progress]: [ 1 / 217 ] simplifiying candidate # 31.880 * * * * [progress]: [ 2 / 217 ] simplifiying candidate # 31.880 * * * * [progress]: [ 3 / 217 ] simplifiying candidate # 31.880 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (+ 1 (sqrt k)) 1)) 31.880 * * [simplify]: iters left: 6 (14 enodes) 31.884 * * [simplify]: iters left: 5 (50 enodes) 31.893 * * [simplify]: iters left: 4 (84 enodes) 31.915 * * [simplify]: iters left: 3 (233 enodes) 32.022 * * [simplify]: iters left: 2 (489 enodes) 32.418 * * [simplify]: Extracting #0: cost 1 inf + 0 32.419 * * [simplify]: Extracting #1: cost 67 inf + 0 32.421 * * [simplify]: Extracting #2: cost 227 inf + 1 32.425 * * [simplify]: Extracting #3: cost 191 inf + 8754 32.448 * * [simplify]: Extracting #4: cost 36 inf + 57411 32.487 * * [simplify]: Extracting #5: cost 0 inf + 69510 32.523 * [simplify]: Simplified to (fma (sqrt k) (+ (log n) (+ (log 2) (log PI))) (+ (log n) (+ (log 2) (log PI)))) 32.523 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (fma (sqrt k) (+ (log n) (+ (log 2) (log PI))) (+ (log n) (+ (log 2) (log PI))))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 32.524 * * * * [progress]: [ 4 / 217 ] simplifiying candidate # 32.524 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) 32.524 * * [simplify]: iters left: 6 (13 enodes) 32.531 * * [simplify]: iters left: 5 (48 enodes) 32.547 * * [simplify]: iters left: 4 (77 enodes) 32.578 * * [simplify]: iters left: 3 (183 enodes) 32.686 * * [simplify]: iters left: 2 (399 enodes) 32.992 * * [simplify]: Extracting #0: cost 1 inf + 0 32.993 * * [simplify]: Extracting #1: cost 73 inf + 0 32.994 * * [simplify]: Extracting #2: cost 239 inf + 1 32.995 * * [simplify]: Extracting #3: cost 226 inf + 1448 32.998 * * [simplify]: Extracting #4: cost 189 inf + 9851 33.010 * * [simplify]: Extracting #5: cost 22 inf + 63345 33.025 * * [simplify]: Extracting #6: cost 0 inf + 70556 33.054 * [simplify]: Simplified to (fma (+ (log n) (log (* 2 PI))) (sqrt k) (+ (log n) (log (* 2 PI)))) 33.055 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (fma (+ (log n) (log (* 2 PI))) (sqrt k) (+ (log n) (log (* 2 PI))))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.055 * * * * [progress]: [ 5 / 217 ] simplifiying candidate # 33.055 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) 33.055 * * [simplify]: iters left: 6 (12 enodes) 33.058 * * [simplify]: iters left: 5 (47 enodes) 33.067 * * [simplify]: iters left: 4 (84 enodes) 33.088 * * [simplify]: iters left: 3 (184 enodes) 33.174 * * [simplify]: iters left: 2 (409 enodes) 33.488 * * [simplify]: Extracting #0: cost 1 inf + 0 33.488 * * [simplify]: Extracting #1: cost 74 inf + 0 33.490 * * [simplify]: Extracting #2: cost 225 inf + 1 33.493 * * [simplify]: Extracting #3: cost 202 inf + 3586 33.508 * * [simplify]: Extracting #4: cost 84 inf + 34985 33.535 * * [simplify]: Extracting #5: cost 5 inf + 57515 33.563 * * [simplify]: Extracting #6: cost 0 inf + 58887 33.590 * [simplify]: Simplified to (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) 33.591 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.591 * * * * [progress]: [ 6 / 217 ] simplifiying candidate # 33.591 * * * * [progress]: [ 7 / 217 ] simplifiying candidate # 33.591 * [simplify]: Simplifying (* n (* 2 PI)) 33.591 * * [simplify]: iters left: 4 (5 enodes) 33.594 * * [simplify]: iters left: 3 (19 enodes) 33.601 * * [simplify]: iters left: 2 (27 enodes) 33.613 * * [simplify]: iters left: 1 (32 enodes) 33.617 * * [simplify]: Extracting #0: cost 1 inf + 0 33.617 * * [simplify]: Extracting #1: cost 8 inf + 0 33.617 * * [simplify]: Extracting #2: cost 7 inf + 45 33.617 * * [simplify]: Extracting #3: cost 0 inf + 421 33.617 * [simplify]: Simplified to (* (* PI 2) n) 33.617 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.617 * * * * [progress]: [ 8 / 217 ] simplifiying candidate # 33.618 * [simplify]: Simplifying (* n (* 2 PI)) 33.618 * * [simplify]: iters left: 4 (5 enodes) 33.619 * * [simplify]: iters left: 3 (19 enodes) 33.622 * * [simplify]: iters left: 2 (27 enodes) 33.626 * * [simplify]: iters left: 1 (32 enodes) 33.630 * * [simplify]: Extracting #0: cost 1 inf + 0 33.630 * * [simplify]: Extracting #1: cost 8 inf + 0 33.630 * * [simplify]: Extracting #2: cost 7 inf + 45 33.630 * * [simplify]: Extracting #3: cost 0 inf + 421 33.630 * [simplify]: Simplified to (* (* PI 2) n) 33.630 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.631 * * * * [progress]: [ 9 / 217 ] simplifiying candidate # 33.631 * [simplify]: Simplifying (* n (* 2 PI)) 33.631 * * [simplify]: iters left: 4 (5 enodes) 33.632 * * [simplify]: iters left: 3 (19 enodes) 33.635 * * [simplify]: iters left: 2 (27 enodes) 33.639 * * [simplify]: iters left: 1 (32 enodes) 33.643 * * [simplify]: Extracting #0: cost 1 inf + 0 33.643 * * [simplify]: Extracting #1: cost 8 inf + 0 33.643 * * [simplify]: Extracting #2: cost 7 inf + 45 33.643 * * [simplify]: Extracting #3: cost 0 inf + 421 33.644 * [simplify]: Simplified to (* (* PI 2) n) 33.644 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.644 * * * * [progress]: [ 10 / 217 ] simplifiying candidate # 33.644 * [simplify]: Simplifying (cbrt (/ (+ 1 (sqrt k)) 1)) 33.644 * * [simplify]: iters left: 6 (6 enodes) 33.646 * * [simplify]: iters left: 5 (19 enodes) 33.648 * * [simplify]: iters left: 4 (21 enodes) 33.651 * * [simplify]: Extracting #0: cost 1 inf + 0 33.651 * * [simplify]: Extracting #1: cost 3 inf + 0 33.651 * * [simplify]: Extracting #2: cost 6 inf + 0 33.651 * * [simplify]: Extracting #3: cost 7 inf + 1 33.651 * * [simplify]: Extracting #4: cost 0 inf + 572 33.652 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 33.652 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (* (cbrt (/ (+ 1 (sqrt k)) 1)) (cbrt (/ (+ 1 (sqrt k)) 1)))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.652 * * * * [progress]: [ 11 / 217 ] simplifiying candidate # 33.652 * [simplify]: Simplifying (sqrt (/ (+ 1 (sqrt k)) 1)) 33.652 * * [simplify]: iters left: 6 (6 enodes) 33.654 * * [simplify]: iters left: 5 (19 enodes) 33.660 * * [simplify]: iters left: 4 (21 enodes) 33.666 * * [simplify]: Extracting #0: cost 1 inf + 0 33.666 * * [simplify]: Extracting #1: cost 3 inf + 0 33.666 * * [simplify]: Extracting #2: cost 6 inf + 0 33.666 * * [simplify]: Extracting #3: cost 7 inf + 1 33.667 * * [simplify]: Extracting #4: cost 0 inf + 492 33.667 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 33.667 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (sqrt (/ (+ 1 (sqrt k)) 1))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.667 * * * * [progress]: [ 12 / 217 ] simplifiying candidate # 33.667 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) (cbrt 1)) 33.667 * * [simplify]: iters left: 6 (7 enodes) 33.672 * * [simplify]: iters left: 5 (24 enodes) 33.679 * * [simplify]: iters left: 4 (26 enodes) 33.686 * * [simplify]: iters left: 3 (28 enodes) 33.693 * * [simplify]: Extracting #0: cost 1 inf + 0 33.693 * * [simplify]: Extracting #1: cost 4 inf + 0 33.693 * * [simplify]: Extracting #2: cost 5 inf + 1 33.693 * * [simplify]: Extracting #3: cost 7 inf + 1 33.693 * * [simplify]: Extracting #4: cost 0 inf + 572 33.693 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 33.694 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) (* (cbrt 1) (cbrt 1)))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.694 * * * * [progress]: [ 13 / 217 ] simplifiying candidate # 33.694 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) (sqrt 1)) 33.694 * * [simplify]: iters left: 6 (7 enodes) 33.698 * * [simplify]: iters left: 5 (24 enodes) 33.705 * * [simplify]: iters left: 4 (26 enodes) 33.712 * * [simplify]: iters left: 3 (28 enodes) 33.719 * * [simplify]: Extracting #0: cost 1 inf + 0 33.719 * * [simplify]: Extracting #1: cost 4 inf + 0 33.719 * * [simplify]: Extracting #2: cost 5 inf + 1 33.719 * * [simplify]: Extracting #3: cost 7 inf + 1 33.720 * * [simplify]: Extracting #4: cost 0 inf + 572 33.720 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 33.720 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) (sqrt 1))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.720 * * * * [progress]: [ 14 / 217 ] simplifiying candidate # 33.720 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) 1) 33.721 * * [simplify]: iters left: 6 (6 enodes) 33.727 * * [simplify]: iters left: 5 (19 enodes) 33.734 * * [simplify]: iters left: 4 (21 enodes) 33.740 * * [simplify]: Extracting #0: cost 1 inf + 0 33.740 * * [simplify]: Extracting #1: cost 4 inf + 0 33.740 * * [simplify]: Extracting #2: cost 5 inf + 1 33.740 * * [simplify]: Extracting #3: cost 7 inf + 1 33.740 * * [simplify]: Extracting #4: cost 0 inf + 572 33.740 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 33.741 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) 1)) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.741 * * * * [progress]: [ 15 / 217 ] simplifiying candidate # 33.742 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) (cbrt 1)) 33.742 * * [simplify]: iters left: 6 (7 enodes) 33.746 * * [simplify]: iters left: 5 (24 enodes) 33.753 * * [simplify]: iters left: 4 (26 enodes) 33.760 * * [simplify]: iters left: 3 (28 enodes) 33.767 * * [simplify]: Extracting #0: cost 1 inf + 0 33.767 * * [simplify]: Extracting #1: cost 4 inf + 0 33.767 * * [simplify]: Extracting #2: cost 5 inf + 1 33.767 * * [simplify]: Extracting #3: cost 7 inf + 1 33.767 * * [simplify]: Extracting #4: cost 0 inf + 492 33.768 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 33.768 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) (* (cbrt 1) (cbrt 1)))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.768 * * * * [progress]: [ 16 / 217 ] simplifiying candidate # 33.768 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) (sqrt 1)) 33.768 * * [simplify]: iters left: 6 (7 enodes) 33.773 * * [simplify]: iters left: 5 (24 enodes) 33.780 * * [simplify]: iters left: 4 (26 enodes) 33.788 * * [simplify]: iters left: 3 (28 enodes) 33.794 * * [simplify]: Extracting #0: cost 1 inf + 0 33.794 * * [simplify]: Extracting #1: cost 4 inf + 0 33.794 * * [simplify]: Extracting #2: cost 5 inf + 1 33.794 * * [simplify]: Extracting #3: cost 7 inf + 1 33.795 * * [simplify]: Extracting #4: cost 0 inf + 492 33.795 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 33.795 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) (sqrt 1))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.795 * * * * [progress]: [ 17 / 217 ] simplifiying candidate # 33.795 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) 1) 33.795 * * [simplify]: iters left: 6 (6 enodes) 33.799 * * [simplify]: iters left: 5 (19 enodes) 33.805 * * [simplify]: iters left: 4 (21 enodes) 33.811 * * [simplify]: Extracting #0: cost 1 inf + 0 33.811 * * [simplify]: Extracting #1: cost 4 inf + 0 33.811 * * [simplify]: Extracting #2: cost 5 inf + 1 33.811 * * [simplify]: Extracting #3: cost 7 inf + 1 33.811 * * [simplify]: Extracting #4: cost 0 inf + 492 33.812 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 33.812 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) 1)) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.812 * * * * [progress]: [ 18 / 217 ] simplifiying candidate # 33.812 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (cbrt 1)) 33.812 * * [simplify]: iters left: 5 (6 enodes) 33.817 * * [simplify]: iters left: 4 (21 enodes) 33.823 * * [simplify]: iters left: 3 (23 enodes) 33.829 * * [simplify]: iters left: 2 (25 enodes) 33.835 * * [simplify]: Extracting #0: cost 1 inf + 0 33.835 * * [simplify]: Extracting #1: cost 4 inf + 0 33.835 * * [simplify]: Extracting #2: cost 5 inf + 1 33.835 * * [simplify]: Extracting #3: cost 4 inf + 2 33.835 * * [simplify]: Extracting #4: cost 1 inf + 166 33.836 * * [simplify]: Extracting #5: cost 0 inf + 248 33.836 * [simplify]: Simplified to (+ 1 (sqrt k)) 33.836 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 1) (cbrt 1)))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.836 * * * * [progress]: [ 19 / 217 ] simplifiying candidate # 33.836 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (sqrt 1)) 33.836 * * [simplify]: iters left: 5 (6 enodes) 33.841 * * [simplify]: iters left: 4 (21 enodes) 33.847 * * [simplify]: iters left: 3 (23 enodes) 33.853 * * [simplify]: iters left: 2 (25 enodes) 33.859 * * [simplify]: Extracting #0: cost 1 inf + 0 33.859 * * [simplify]: Extracting #1: cost 4 inf + 0 33.859 * * [simplify]: Extracting #2: cost 5 inf + 1 33.859 * * [simplify]: Extracting #3: cost 4 inf + 2 33.859 * * [simplify]: Extracting #4: cost 1 inf + 166 33.860 * * [simplify]: Extracting #5: cost 0 inf + 248 33.860 * [simplify]: Simplified to (+ 1 (sqrt k)) 33.860 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 1))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.860 * * * * [progress]: [ 20 / 217 ] simplifiying candidate # 33.860 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 33.860 * * [simplify]: iters left: 5 (5 enodes) 33.863 * * [simplify]: iters left: 4 (16 enodes) 33.868 * * [simplify]: iters left: 3 (18 enodes) 33.874 * * [simplify]: Extracting #0: cost 1 inf + 0 33.874 * * [simplify]: Extracting #1: cost 4 inf + 0 33.874 * * [simplify]: Extracting #2: cost 5 inf + 1 33.874 * * [simplify]: Extracting #3: cost 1 inf + 166 33.874 * * [simplify]: Extracting #4: cost 0 inf + 248 33.874 * [simplify]: Simplified to (+ 1 (sqrt k)) 33.874 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 1)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.874 * * * * [progress]: [ 21 / 217 ] simplifiying candidate # 33.875 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) (cbrt 1)) 33.875 * * [simplify]: iters left: 5 (7 enodes) 33.880 * * [simplify]: iters left: 4 (24 enodes) 33.890 * * [simplify]: iters left: 3 (26 enodes) 33.897 * * [simplify]: iters left: 2 (28 enodes) 33.903 * * [simplify]: Extracting #0: cost 1 inf + 0 33.903 * * [simplify]: Extracting #1: cost 4 inf + 0 33.904 * * [simplify]: Extracting #2: cost 5 inf + 1 33.904 * * [simplify]: Extracting #3: cost 4 inf + 2 33.904 * * [simplify]: Extracting #4: cost 1 inf + 166 33.904 * * [simplify]: Extracting #5: cost 0 inf + 248 33.904 * [simplify]: Simplified to (+ (sqrt k) 1) 33.904 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) (* (cbrt 1) (cbrt 1)))) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.904 * * * * [progress]: [ 22 / 217 ] simplifiying candidate # 33.905 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) (sqrt 1)) 33.905 * * [simplify]: iters left: 5 (6 enodes) 33.909 * * [simplify]: iters left: 4 (21 enodes) 33.915 * * [simplify]: iters left: 3 (23 enodes) 33.921 * * [simplify]: iters left: 2 (25 enodes) 33.928 * * [simplify]: Extracting #0: cost 1 inf + 0 33.928 * * [simplify]: Extracting #1: cost 4 inf + 0 33.928 * * [simplify]: Extracting #2: cost 5 inf + 1 33.928 * * [simplify]: Extracting #3: cost 1 inf + 166 33.928 * * [simplify]: Extracting #4: cost 0 inf + 248 33.928 * [simplify]: Simplified to (+ (sqrt k) 1) 33.928 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) (sqrt 1))) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.928 * * * * [progress]: [ 23 / 217 ] simplifiying candidate # 33.929 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) 1) 33.929 * * [simplify]: iters left: 5 (6 enodes) 33.933 * * [simplify]: iters left: 4 (19 enodes) 33.936 * * [simplify]: iters left: 3 (21 enodes) 33.939 * * [simplify]: Extracting #0: cost 1 inf + 0 33.939 * * [simplify]: Extracting #1: cost 4 inf + 0 33.939 * * [simplify]: Extracting #2: cost 5 inf + 1 33.939 * * [simplify]: Extracting #3: cost 0 inf + 248 33.939 * [simplify]: Simplified to (+ (sqrt k) 1) 33.939 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) 1)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.939 * * * * [progress]: [ 24 / 217 ] simplifiying candidate # 33.939 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (cbrt 1)) 33.939 * * [simplify]: iters left: 5 (6 enodes) 33.942 * * [simplify]: iters left: 4 (21 enodes) 33.945 * * [simplify]: iters left: 3 (23 enodes) 33.949 * * [simplify]: iters left: 2 (25 enodes) 33.952 * * [simplify]: Extracting #0: cost 1 inf + 0 33.952 * * [simplify]: Extracting #1: cost 4 inf + 0 33.952 * * [simplify]: Extracting #2: cost 5 inf + 1 33.952 * * [simplify]: Extracting #3: cost 4 inf + 2 33.952 * * [simplify]: Extracting #4: cost 1 inf + 166 33.952 * * [simplify]: Extracting #5: cost 0 inf + 248 33.952 * [simplify]: Simplified to (+ 1 (sqrt k)) 33.952 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 1) (cbrt 1)))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.952 * * * * [progress]: [ 25 / 217 ] simplifiying candidate # 33.952 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (sqrt 1)) 33.953 * * [simplify]: iters left: 5 (6 enodes) 33.955 * * [simplify]: iters left: 4 (21 enodes) 33.961 * * [simplify]: iters left: 3 (23 enodes) 33.968 * * [simplify]: iters left: 2 (25 enodes) 33.974 * * [simplify]: Extracting #0: cost 1 inf + 0 33.974 * * [simplify]: Extracting #1: cost 4 inf + 0 33.974 * * [simplify]: Extracting #2: cost 5 inf + 1 33.974 * * [simplify]: Extracting #3: cost 4 inf + 2 33.974 * * [simplify]: Extracting #4: cost 1 inf + 166 33.974 * * [simplify]: Extracting #5: cost 0 inf + 248 33.975 * [simplify]: Simplified to (+ 1 (sqrt k)) 33.975 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 1))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.975 * * * * [progress]: [ 26 / 217 ] simplifiying candidate # 33.975 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 33.975 * * [simplify]: iters left: 5 (5 enodes) 33.978 * * [simplify]: iters left: 4 (16 enodes) 33.983 * * [simplify]: iters left: 3 (18 enodes) 33.986 * * [simplify]: Extracting #0: cost 1 inf + 0 33.987 * * [simplify]: Extracting #1: cost 4 inf + 0 33.987 * * [simplify]: Extracting #2: cost 5 inf + 1 33.987 * * [simplify]: Extracting #3: cost 1 inf + 166 33.987 * * [simplify]: Extracting #4: cost 0 inf + 248 33.987 * [simplify]: Simplified to (+ 1 (sqrt k)) 33.987 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 1)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.987 * * * * [progress]: [ 27 / 217 ] simplifiying candidate # 33.987 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 33.987 * * [simplify]: iters left: 5 (5 enodes) 33.989 * * [simplify]: iters left: 4 (16 enodes) 33.991 * * [simplify]: iters left: 3 (18 enodes) 33.994 * * [simplify]: Extracting #0: cost 1 inf + 0 33.994 * * [simplify]: Extracting #1: cost 4 inf + 0 33.994 * * [simplify]: Extracting #2: cost 5 inf + 1 33.994 * * [simplify]: Extracting #3: cost 1 inf + 166 33.994 * * [simplify]: Extracting #4: cost 0 inf + 248 33.994 * [simplify]: Simplified to (+ 1 (sqrt k)) 33.994 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) 1) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.994 * * * * [progress]: [ 28 / 217 ] simplifiying candidate # 33.994 * [simplify]: Simplifying (/ 1 1) 33.994 * * [simplify]: iters left: 2 (2 enodes) 33.995 * * [simplify]: iters left: 1 (6 enodes) 33.996 * * [simplify]: Extracting #0: cost 1 inf + 0 33.996 * * [simplify]: Extracting #1: cost 0 inf + 1 33.996 * [simplify]: Simplified to 1 33.996 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) 1) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.996 * * * * [progress]: [ 29 / 217 ] simplifiying candidate # 33.996 * [simplify]: Simplifying (pow n (/ (+ 1 (sqrt k)) 1)) 33.997 * * [simplify]: iters left: 6 (7 enodes) 33.998 * * [simplify]: iters left: 5 (26 enodes) 34.003 * * [simplify]: iters left: 4 (39 enodes) 34.012 * * [simplify]: iters left: 3 (65 enodes) 34.025 * * [simplify]: iters left: 2 (127 enodes) 34.077 * * [simplify]: iters left: 1 (258 enodes) 34.187 * * [simplify]: Extracting #0: cost 1 inf + 0 34.187 * * [simplify]: Extracting #1: cost 25 inf + 0 34.187 * * [simplify]: Extracting #2: cost 87 inf + 2 34.188 * * [simplify]: Extracting #3: cost 118 inf + 7 34.189 * * [simplify]: Extracting #4: cost 115 inf + 135 34.190 * * [simplify]: Extracting #5: cost 102 inf + 1871 34.194 * * [simplify]: Extracting #6: cost 66 inf + 11529 34.204 * * [simplify]: Extracting #7: cost 16 inf + 40218 34.218 * * [simplify]: Extracting #8: cost 0 inf + 52100 34.236 * [simplify]: Simplified to (pow n (+ 1 (sqrt k))) 34.236 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (pow n (+ 1 (sqrt k))) (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 34.236 * * * * [progress]: [ 30 / 217 ] simplifiying candidate # 34.236 * * * * [progress]: [ 31 / 217 ] simplifiying candidate # 34.236 * * * * [progress]: [ 32 / 217 ] simplifiying candidate # 34.236 * * * * [progress]: [ 33 / 217 ] simplifiying candidate # 34.236 * * * * [progress]: [ 34 / 217 ] simplifiying candidate # 34.236 * * * * [progress]: [ 35 / 217 ] simplifiying candidate # 34.237 * * * * [progress]: [ 36 / 217 ] simplifiying candidate # 34.237 * * * * [progress]: [ 37 / 217 ] simplifiying candidate # 34.237 * * * * [progress]: [ 38 / 217 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt k)))> 34.237 * * * * [progress]: [ 39 / 217 ] simplifiying candidate # 34.237 * * * * [progress]: [ 40 / 217 ] simplifiying candidate # 34.237 * * * * [progress]: [ 41 / 217 ] simplifiying candidate # 34.237 * [simplify]: Simplifying (* (* (+ (log n) (+ (log 2) (log PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 34.237 * * [simplify]: iters left: 6 (17 enodes) 34.247 * * [simplify]: iters left: 5 (70 enodes) 34.272 * * [simplify]: iters left: 4 (136 enodes) 34.361 * * [simplify]: Extracting #0: cost 1 inf + 0 34.361 * * [simplify]: Extracting #1: cost 51 inf + 0 34.362 * * [simplify]: Extracting #2: cost 133 inf + 2 34.367 * * [simplify]: Extracting #3: cost 177 inf + 186 34.369 * * [simplify]: Extracting #4: cost 161 inf + 1831 34.375 * * [simplify]: Extracting #5: cost 80 inf + 21609 34.391 * * [simplify]: Extracting #6: cost 2 inf + 46935 34.408 * * [simplify]: Extracting #7: cost 0 inf + 47482 34.426 * [simplify]: Simplified to (* (fma (sqrt k) (+ (log n) (+ (log 2) (log PI))) (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 (sqrt k)) 2)) 34.426 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (fma (sqrt k) (+ (log n) (+ (log 2) (log PI))) (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 34.426 * * * * [progress]: [ 42 / 217 ] simplifiying candidate # 34.426 * [simplify]: Simplifying (* (* (+ (log n) (log (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 34.427 * * [simplify]: iters left: 6 (16 enodes) 34.436 * * [simplify]: iters left: 5 (68 enodes) 34.448 * * [simplify]: iters left: 4 (129 enodes) 34.486 * * [simplify]: iters left: 3 (431 enodes) 34.843 * * [simplify]: Extracting #0: cost 1 inf + 0 34.844 * * [simplify]: Extracting #1: cost 74 inf + 0 34.845 * * [simplify]: Extracting #2: cost 273 inf + 73 34.849 * * [simplify]: Extracting #3: cost 352 inf + 2789 34.864 * * [simplify]: Extracting #4: cost 189 inf + 43551 34.889 * * [simplify]: Extracting #5: cost 18 inf + 101314 34.930 * * [simplify]: Extracting #6: cost 0 inf + 108065 34.965 * * [simplify]: Extracting #7: cost 0 inf + 108062 35.010 * [simplify]: Simplified to (/ (- (fma (+ (log n) (log (* 2 PI))) (sqrt k) (+ (log n) (log (* 2 PI)))) (* (sqrt k) (fma (+ (log n) (log (* 2 PI))) (sqrt k) (+ (log n) (log (* 2 PI)))))) 2) 35.010 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (fma (+ (log n) (log (* 2 PI))) (sqrt k) (+ (log n) (log (* 2 PI)))) (* (sqrt k) (fma (+ (log n) (log (* 2 PI))) (sqrt k) (+ (log n) (log (* 2 PI)))))) 2)) (sqrt k))) 35.010 * * * * [progress]: [ 43 / 217 ] simplifiying candidate # 35.010 * [simplify]: Simplifying (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 35.010 * * [simplify]: iters left: 6 (15 enodes) 35.015 * * [simplify]: iters left: 5 (67 enodes) 35.029 * * [simplify]: iters left: 4 (136 enodes) 35.064 * * [simplify]: iters left: 3 (403 enodes) 35.329 * * [simplify]: Extracting #0: cost 1 inf + 0 35.335 * * [simplify]: Extracting #1: cost 68 inf + 0 35.337 * * [simplify]: Extracting #2: cost 251 inf + 2 35.341 * * [simplify]: Extracting #3: cost 332 inf + 3858 35.353 * * [simplify]: Extracting #4: cost 207 inf + 31298 35.380 * * [simplify]: Extracting #5: cost 56 inf + 73522 35.401 * * [simplify]: Extracting #6: cost 0 inf + 92557 35.440 * [simplify]: Simplified to (/ (- (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (* (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (sqrt k))) 2) 35.440 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (* (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (sqrt k))) 2)) (sqrt k))) 35.441 * * * * [progress]: [ 44 / 217 ] simplifiying candidate # 35.441 * [simplify]: Simplifying (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 35.442 * * [simplify]: iters left: 6 (15 enodes) 35.448 * * [simplify]: iters left: 5 (67 enodes) 35.463 * * [simplify]: iters left: 4 (136 enodes) 35.519 * * [simplify]: iters left: 3 (403 enodes) 35.846 * * [simplify]: Extracting #0: cost 1 inf + 0 35.846 * * [simplify]: Extracting #1: cost 68 inf + 0 35.847 * * [simplify]: Extracting #2: cost 251 inf + 2 35.851 * * [simplify]: Extracting #3: cost 332 inf + 3858 35.863 * * [simplify]: Extracting #4: cost 207 inf + 31298 35.893 * * [simplify]: Extracting #5: cost 56 inf + 73522 35.936 * * [simplify]: Extracting #6: cost 0 inf + 92557 35.966 * [simplify]: Simplified to (/ (- (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (* (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (sqrt k))) 2) 35.966 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (* (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (sqrt k))) 2)) (sqrt k))) 35.966 * * * * [progress]: [ 45 / 217 ] simplifiying candidate # 35.966 * [simplify]: Simplifying (* (log (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 35.966 * * [simplify]: iters left: 6 (15 enodes) 35.973 * * [simplify]: iters left: 5 (64 enodes) 35.986 * * [simplify]: iters left: 4 (120 enodes) 36.016 * * [simplify]: iters left: 3 (295 enodes) 36.246 * * [simplify]: Extracting #0: cost 1 inf + 0 36.247 * * [simplify]: Extracting #1: cost 56 inf + 0 36.248 * * [simplify]: Extracting #2: cost 241 inf + 2 36.251 * * [simplify]: Extracting #3: cost 336 inf + 1293 36.257 * * [simplify]: Extracting #4: cost 272 inf + 14466 36.285 * * [simplify]: Extracting #5: cost 59 inf + 68111 36.322 * * [simplify]: Extracting #6: cost 2 inf + 88489 36.354 * * [simplify]: Extracting #7: cost 0 inf + 89265 36.372 * * [simplify]: Extracting #8: cost 0 inf + 88986 36.404 * * [simplify]: Extracting #9: cost 0 inf + 88945 36.442 * [simplify]: Simplified to (/ (- (fma (log (* (* PI 2) n)) (sqrt k) (log (* (* PI 2) n))) (* (fma (log (* (* PI 2) n)) (sqrt k) (log (* (* PI 2) n))) (sqrt k))) 2) 36.442 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (fma (log (* (* PI 2) n)) (sqrt k) (log (* (* PI 2) n))) (* (fma (log (* (* PI 2) n)) (sqrt k) (log (* (* PI 2) n))) (sqrt k))) 2)) (sqrt k))) 36.443 * * * * [progress]: [ 46 / 217 ] simplifiying candidate # 36.443 * * * * [progress]: [ 47 / 217 ] simplifiying candidate # 36.443 * [simplify]: Simplifying (* n (* 2 PI)) 36.443 * * [simplify]: iters left: 4 (5 enodes) 36.447 * * [simplify]: iters left: 3 (19 enodes) 36.453 * * [simplify]: iters left: 2 (27 enodes) 36.461 * * [simplify]: iters left: 1 (32 enodes) 36.469 * * [simplify]: Extracting #0: cost 1 inf + 0 36.469 * * [simplify]: Extracting #1: cost 8 inf + 0 36.469 * * [simplify]: Extracting #2: cost 7 inf + 45 36.470 * * [simplify]: Extracting #3: cost 0 inf + 421 36.470 * [simplify]: Simplified to (* (* PI 2) n) 36.470 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* (/ (+ 1 (sqrt k)) 1) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 36.470 * * * * [progress]: [ 48 / 217 ] simplifiying candidate # 36.470 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt k) 2)) 36.471 * * [simplify]: iters left: 6 (13 enodes) 36.478 * * [simplify]: iters left: 5 (50 enodes) 36.488 * * [simplify]: iters left: 4 (81 enodes) 36.502 * * [simplify]: iters left: 3 (136 enodes) 36.539 * * [simplify]: iters left: 2 (257 enodes) 36.609 * * [simplify]: Extracting #0: cost 1 inf + 0 36.609 * * [simplify]: Extracting #1: cost 13 inf + 0 36.609 * * [simplify]: Extracting #2: cost 63 inf + 1 36.610 * * [simplify]: Extracting #3: cost 125 inf + 5 36.610 * * [simplify]: Extracting #4: cost 133 inf + 548 36.612 * * [simplify]: Extracting #5: cost 81 inf + 9336 36.616 * * [simplify]: Extracting #6: cost 27 inf + 36849 36.623 * * [simplify]: Extracting #7: cost 0 inf + 60464 36.633 * * [simplify]: Extracting #8: cost 0 inf + 60204 36.640 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (sqrt k) 2)) 36.640 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 2)) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (sqrt k) 2))) (sqrt k))) 36.641 * * * * [progress]: [ 49 / 217 ] simplifiying candidate # 36.641 * [simplify]: Simplifying (cbrt (/ (- 1 (sqrt k)) 2)) 36.641 * * [simplify]: iters left: 6 (7 enodes) 36.644 * * [simplify]: iters left: 5 (29 enodes) 36.649 * * [simplify]: iters left: 4 (38 enodes) 36.654 * * [simplify]: Extracting #0: cost 1 inf + 0 36.654 * * [simplify]: Extracting #1: cost 3 inf + 0 36.655 * * [simplify]: Extracting #2: cost 8 inf + 0 36.655 * * [simplify]: Extracting #3: cost 11 inf + 2 36.655 * * [simplify]: Extracting #4: cost 13 inf + 3 36.655 * * [simplify]: Extracting #5: cost 12 inf + 4 36.655 * * [simplify]: Extracting #6: cost 3 inf + 740 36.655 * * [simplify]: Extracting #7: cost 0 inf + 1228 36.655 * [simplify]: Simplified to (cbrt (- 1/2 (/ (sqrt k) 2))) 36.655 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (* (cbrt (/ (- 1 (sqrt k)) 2)) (cbrt (/ (- 1 (sqrt k)) 2)))) (cbrt (- 1/2 (/ (sqrt k) 2)))) (sqrt k))) 36.655 * * * * [progress]: [ 50 / 217 ] simplifiying candidate # 36.656 * [simplify]: Simplifying (sqrt (/ (- 1 (sqrt k)) 2)) 36.656 * * [simplify]: iters left: 6 (7 enodes) 36.658 * * [simplify]: iters left: 5 (29 enodes) 36.663 * * [simplify]: iters left: 4 (38 enodes) 36.669 * * [simplify]: Extracting #0: cost 1 inf + 0 36.669 * * [simplify]: Extracting #1: cost 3 inf + 0 36.669 * * [simplify]: Extracting #2: cost 8 inf + 0 36.669 * * [simplify]: Extracting #3: cost 11 inf + 2 36.669 * * [simplify]: Extracting #4: cost 13 inf + 3 36.669 * * [simplify]: Extracting #5: cost 12 inf + 4 36.669 * * [simplify]: Extracting #6: cost 3 inf + 740 36.669 * * [simplify]: Extracting #7: cost 0 inf + 1148 36.670 * [simplify]: Simplified to (sqrt (- 1/2 (/ (sqrt k) 2))) 36.670 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (sqrt (/ (- 1 (sqrt k)) 2))) (sqrt (- 1/2 (/ (sqrt k) 2)))) (sqrt k))) 36.670 * * * * [progress]: [ 51 / 217 ] simplifiying candidate # 36.670 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) (cbrt 2)) 36.670 * * [simplify]: iters left: 6 (8 enodes) 36.672 * * [simplify]: iters left: 5 (28 enodes) 36.677 * * [simplify]: iters left: 4 (33 enodes) 36.682 * * [simplify]: Extracting #0: cost 1 inf + 0 36.682 * * [simplify]: Extracting #1: cost 4 inf + 0 36.682 * * [simplify]: Extracting #2: cost 8 inf + 0 36.682 * * [simplify]: Extracting #3: cost 9 inf + 163 36.683 * * [simplify]: Extracting #4: cost 11 inf + 164 36.683 * * [simplify]: Extracting #5: cost 10 inf + 165 36.683 * * [simplify]: Extracting #6: cost 5 inf + 491 36.683 * * [simplify]: Extracting #7: cost 0 inf + 1463 36.683 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) (cbrt 2)) 36.683 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 (sqrt k))) (cbrt 2))) (sqrt k))) 36.683 * * * * [progress]: [ 52 / 217 ] simplifiying candidate # 36.683 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) (sqrt 2)) 36.683 * * [simplify]: iters left: 6 (8 enodes) 36.686 * * [simplify]: iters left: 5 (28 enodes) 36.690 * * [simplify]: iters left: 4 (33 enodes) 36.699 * * [simplify]: Extracting #0: cost 1 inf + 0 36.699 * * [simplify]: Extracting #1: cost 4 inf + 0 36.699 * * [simplify]: Extracting #2: cost 8 inf + 0 36.699 * * [simplify]: Extracting #3: cost 9 inf + 83 36.699 * * [simplify]: Extracting #4: cost 11 inf + 84 36.699 * * [simplify]: Extracting #5: cost 10 inf + 85 36.700 * * [simplify]: Extracting #6: cost 5 inf + 411 36.700 * * [simplify]: Extracting #7: cost 0 inf + 1303 36.700 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) (sqrt 2)) 36.700 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) (sqrt 2))) (/ (cbrt (- 1 (sqrt k))) (sqrt 2))) (sqrt k))) 36.701 * * * * [progress]: [ 53 / 217 ] simplifiying candidate # 36.701 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) 2) 36.701 * * [simplify]: iters left: 6 (7 enodes) 36.705 * * [simplify]: iters left: 5 (25 enodes) 36.713 * * [simplify]: iters left: 4 (30 enodes) 36.725 * * [simplify]: Extracting #0: cost 1 inf + 0 36.725 * * [simplify]: Extracting #1: cost 4 inf + 0 36.725 * * [simplify]: Extracting #2: cost 5 inf + 1 36.725 * * [simplify]: Extracting #3: cost 9 inf + 1 36.725 * * [simplify]: Extracting #4: cost 11 inf + 2 36.725 * * [simplify]: Extracting #5: cost 10 inf + 3 36.725 * * [simplify]: Extracting #6: cost 5 inf + 330 36.725 * * [simplify]: Extracting #7: cost 2 inf + 776 36.725 * * [simplify]: Extracting #8: cost 0 inf + 1141 36.726 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) 2) 36.726 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) 1)) (/ (cbrt (- 1 (sqrt k))) 2)) (sqrt k))) 36.726 * * * * [progress]: [ 54 / 217 ] simplifiying candidate # 36.726 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) (cbrt 2)) 36.726 * * [simplify]: iters left: 6 (8 enodes) 36.728 * * [simplify]: iters left: 5 (28 enodes) 36.733 * * [simplify]: iters left: 4 (33 enodes) 36.738 * * [simplify]: Extracting #0: cost 1 inf + 0 36.738 * * [simplify]: Extracting #1: cost 4 inf + 0 36.738 * * [simplify]: Extracting #2: cost 8 inf + 0 36.738 * * [simplify]: Extracting #3: cost 9 inf + 163 36.739 * * [simplify]: Extracting #4: cost 11 inf + 164 36.739 * * [simplify]: Extracting #5: cost 10 inf + 165 36.739 * * [simplify]: Extracting #6: cost 5 inf + 491 36.739 * * [simplify]: Extracting #7: cost 0 inf + 1303 36.739 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) (cbrt 2)) 36.739 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 (sqrt k))) (cbrt 2))) (sqrt k))) 36.739 * * * * [progress]: [ 55 / 217 ] simplifiying candidate # 36.739 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) (sqrt 2)) 36.739 * * [simplify]: iters left: 6 (8 enodes) 36.742 * * [simplify]: iters left: 5 (28 enodes) 36.747 * * [simplify]: iters left: 4 (33 enodes) 36.752 * * [simplify]: Extracting #0: cost 1 inf + 0 36.752 * * [simplify]: Extracting #1: cost 4 inf + 0 36.752 * * [simplify]: Extracting #2: cost 8 inf + 0 36.752 * * [simplify]: Extracting #3: cost 9 inf + 83 36.752 * * [simplify]: Extracting #4: cost 11 inf + 84 36.752 * * [simplify]: Extracting #5: cost 10 inf + 85 36.752 * * [simplify]: Extracting #6: cost 5 inf + 411 36.753 * * [simplify]: Extracting #7: cost 0 inf + 1143 36.753 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) (sqrt 2)) 36.753 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) (sqrt 2))) (/ (sqrt (- 1 (sqrt k))) (sqrt 2))) (sqrt k))) 36.753 * * * * [progress]: [ 56 / 217 ] simplifiying candidate # 36.754 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) 2) 36.754 * * [simplify]: iters left: 6 (7 enodes) 36.757 * * [simplify]: iters left: 5 (25 enodes) 36.763 * * [simplify]: iters left: 4 (30 enodes) 36.768 * * [simplify]: Extracting #0: cost 1 inf + 0 36.768 * * [simplify]: Extracting #1: cost 4 inf + 0 36.768 * * [simplify]: Extracting #2: cost 5 inf + 1 36.768 * * [simplify]: Extracting #3: cost 9 inf + 1 36.768 * * [simplify]: Extracting #4: cost 11 inf + 2 36.768 * * [simplify]: Extracting #5: cost 10 inf + 3 36.768 * * [simplify]: Extracting #6: cost 5 inf + 330 36.768 * * [simplify]: Extracting #7: cost 2 inf + 696 36.768 * * [simplify]: Extracting #8: cost 0 inf + 981 36.768 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) 2) 36.769 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) 1)) (/ (sqrt (- 1 (sqrt k))) 2)) (sqrt k))) 36.769 * * * * [progress]: [ 57 / 217 ] simplifiying candidate # 36.769 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 36.769 * * [simplify]: iters left: 5 (7 enodes) 36.771 * * [simplify]: iters left: 4 (28 enodes) 36.776 * * [simplify]: iters left: 3 (39 enodes) 36.782 * * [simplify]: iters left: 2 (43 enodes) 36.788 * * [simplify]: Extracting #0: cost 1 inf + 0 36.788 * * [simplify]: Extracting #1: cost 7 inf + 0 36.788 * * [simplify]: Extracting #2: cost 16 inf + 0 36.788 * * [simplify]: Extracting #3: cost 15 inf + 164 36.789 * * [simplify]: Extracting #4: cost 13 inf + 287 36.789 * * [simplify]: Extracting #5: cost 5 inf + 1180 36.789 * * [simplify]: Extracting #6: cost 0 inf + 1951 36.789 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 36.789 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 36.789 * * * * [progress]: [ 58 / 217 ] simplifiying candidate # 36.790 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 36.790 * * [simplify]: iters left: 5 (7 enodes) 36.792 * * [simplify]: iters left: 4 (28 enodes) 36.800 * * [simplify]: iters left: 3 (39 enodes) 36.813 * * [simplify]: iters left: 2 (43 enodes) 36.829 * * [simplify]: Extracting #0: cost 1 inf + 0 36.829 * * [simplify]: Extracting #1: cost 7 inf + 0 36.829 * * [simplify]: Extracting #2: cost 16 inf + 0 36.829 * * [simplify]: Extracting #3: cost 15 inf + 84 36.829 * * [simplify]: Extracting #4: cost 13 inf + 167 36.830 * * [simplify]: Extracting #5: cost 5 inf + 900 36.830 * * [simplify]: Extracting #6: cost 0 inf + 1551 36.831 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 36.831 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 36.831 * * * * [progress]: [ 59 / 217 ] simplifiying candidate # 36.831 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 36.832 * * [simplify]: iters left: 5 (6 enodes) 36.836 * * [simplify]: iters left: 4 (26 enodes) 36.844 * * [simplify]: iters left: 3 (35 enodes) 36.854 * * [simplify]: Extracting #0: cost 1 inf + 0 36.855 * * [simplify]: Extracting #1: cost 6 inf + 0 36.855 * * [simplify]: Extracting #2: cost 9 inf + 2 36.855 * * [simplify]: Extracting #3: cost 11 inf + 3 36.855 * * [simplify]: Extracting #4: cost 10 inf + 4 36.855 * * [simplify]: Extracting #5: cost 3 inf + 535 36.855 * * [simplify]: Extracting #6: cost 0 inf + 822 36.856 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 36.856 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 36.856 * * * * [progress]: [ 60 / 217 ] simplifiying candidate # 36.856 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (cbrt 2)) 36.856 * * [simplify]: iters left: 6 (9 enodes) 36.862 * * [simplify]: iters left: 5 (34 enodes) 36.874 * * [simplify]: iters left: 4 (48 enodes) 36.888 * * [simplify]: iters left: 3 (54 enodes) 36.904 * * [simplify]: iters left: 2 (55 enodes) 36.919 * * [simplify]: iters left: 1 (56 enodes) 36.934 * * [simplify]: Extracting #0: cost 1 inf + 0 36.934 * * [simplify]: Extracting #1: cost 8 inf + 0 36.934 * * [simplify]: Extracting #2: cost 18 inf + 0 36.934 * * [simplify]: Extracting #3: cost 17 inf + 164 36.935 * * [simplify]: Extracting #4: cost 16 inf + 530 36.935 * * [simplify]: Extracting #5: cost 12 inf + 735 36.935 * * [simplify]: Extracting #6: cost 4 inf + 1787 36.936 * * [simplify]: Extracting #7: cost 1 inf + 2515 36.937 * * [simplify]: Extracting #8: cost 0 inf + 2757 36.938 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 36.938 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2))) (sqrt k))) 36.938 * * * * [progress]: [ 61 / 217 ] simplifiying candidate # 36.938 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (sqrt 2)) 36.939 * * [simplify]: iters left: 6 (9 enodes) 36.944 * * [simplify]: iters left: 5 (34 enodes) 36.956 * * [simplify]: iters left: 4 (48 enodes) 36.970 * * [simplify]: iters left: 3 (54 enodes) 36.989 * * [simplify]: iters left: 2 (55 enodes) 36.997 * * [simplify]: iters left: 1 (56 enodes) 37.005 * * [simplify]: Extracting #0: cost 1 inf + 0 37.005 * * [simplify]: Extracting #1: cost 8 inf + 0 37.005 * * [simplify]: Extracting #2: cost 18 inf + 0 37.006 * * [simplify]: Extracting #3: cost 17 inf + 84 37.006 * * [simplify]: Extracting #4: cost 16 inf + 330 37.006 * * [simplify]: Extracting #5: cost 12 inf + 495 37.006 * * [simplify]: Extracting #6: cost 4 inf + 1467 37.006 * * [simplify]: Extracting #7: cost 1 inf + 2075 37.007 * * [simplify]: Extracting #8: cost 0 inf + 2277 37.007 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 37.007 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2))) (sqrt k))) 37.007 * * * * [progress]: [ 62 / 217 ] simplifiying candidate # 37.008 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) 2) 37.008 * * [simplify]: iters left: 6 (8 enodes) 37.012 * * [simplify]: iters left: 5 (31 enodes) 37.023 * * [simplify]: iters left: 4 (46 enodes) 37.030 * * [simplify]: iters left: 3 (49 enodes) 37.036 * * [simplify]: Extracting #0: cost 1 inf + 0 37.036 * * [simplify]: Extracting #1: cost 7 inf + 0 37.036 * * [simplify]: Extracting #2: cost 11 inf + 2 37.036 * * [simplify]: Extracting #3: cost 13 inf + 3 37.037 * * [simplify]: Extracting #4: cost 15 inf + 3 37.037 * * [simplify]: Extracting #5: cost 13 inf + 45 37.037 * * [simplify]: Extracting #6: cost 5 inf + 898 37.037 * * [simplify]: Extracting #7: cost 0 inf + 1628 37.037 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 37.037 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2)) (sqrt k))) 37.037 * * * * [progress]: [ 63 / 217 ] simplifiying candidate # 37.038 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (cbrt 2)) 37.038 * * [simplify]: iters left: 6 (9 enodes) 37.041 * * [simplify]: iters left: 5 (34 enodes) 37.047 * * [simplify]: iters left: 4 (48 enodes) 37.054 * * [simplify]: iters left: 3 (54 enodes) 37.069 * * [simplify]: iters left: 2 (55 enodes) 37.084 * * [simplify]: iters left: 1 (56 enodes) 37.095 * * [simplify]: Extracting #0: cost 1 inf + 0 37.095 * * [simplify]: Extracting #1: cost 8 inf + 0 37.095 * * [simplify]: Extracting #2: cost 18 inf + 0 37.095 * * [simplify]: Extracting #3: cost 17 inf + 164 37.095 * * [simplify]: Extracting #4: cost 16 inf + 530 37.095 * * [simplify]: Extracting #5: cost 12 inf + 735 37.095 * * [simplify]: Extracting #6: cost 4 inf + 1787 37.096 * * [simplify]: Extracting #7: cost 1 inf + 2515 37.096 * * [simplify]: Extracting #8: cost 0 inf + 2757 37.097 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 37.097 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2))) (sqrt k))) 37.097 * * * * [progress]: [ 64 / 217 ] simplifiying candidate # 37.097 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (sqrt 2)) 37.097 * * [simplify]: iters left: 6 (9 enodes) 37.100 * * [simplify]: iters left: 5 (34 enodes) 37.106 * * [simplify]: iters left: 4 (48 enodes) 37.113 * * [simplify]: iters left: 3 (54 enodes) 37.126 * * [simplify]: iters left: 2 (55 enodes) 37.142 * * [simplify]: iters left: 1 (56 enodes) 37.153 * * [simplify]: Extracting #0: cost 1 inf + 0 37.153 * * [simplify]: Extracting #1: cost 8 inf + 0 37.153 * * [simplify]: Extracting #2: cost 18 inf + 0 37.153 * * [simplify]: Extracting #3: cost 17 inf + 84 37.153 * * [simplify]: Extracting #4: cost 16 inf + 330 37.154 * * [simplify]: Extracting #5: cost 12 inf + 495 37.154 * * [simplify]: Extracting #6: cost 4 inf + 1467 37.154 * * [simplify]: Extracting #7: cost 1 inf + 2075 37.155 * * [simplify]: Extracting #8: cost 0 inf + 2277 37.155 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 37.155 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2))) (sqrt k))) 37.155 * * * * [progress]: [ 65 / 217 ] simplifiying candidate # 37.156 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) 2) 37.156 * * [simplify]: iters left: 6 (8 enodes) 37.158 * * [simplify]: iters left: 5 (31 enodes) 37.164 * * [simplify]: iters left: 4 (46 enodes) 37.171 * * [simplify]: iters left: 3 (49 enodes) 37.177 * * [simplify]: Extracting #0: cost 1 inf + 0 37.177 * * [simplify]: Extracting #1: cost 7 inf + 0 37.177 * * [simplify]: Extracting #2: cost 11 inf + 2 37.177 * * [simplify]: Extracting #3: cost 13 inf + 3 37.177 * * [simplify]: Extracting #4: cost 15 inf + 3 37.178 * * [simplify]: Extracting #5: cost 13 inf + 45 37.178 * * [simplify]: Extracting #6: cost 5 inf + 898 37.178 * * [simplify]: Extracting #7: cost 0 inf + 1628 37.179 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 37.179 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2)) (sqrt k))) 37.179 * * * * [progress]: [ 66 / 217 ] simplifiying candidate # 37.180 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 37.180 * * [simplify]: iters left: 6 (8 enodes) 37.185 * * [simplify]: iters left: 5 (31 enodes) 37.195 * * [simplify]: iters left: 4 (42 enodes) 37.213 * * [simplify]: iters left: 3 (46 enodes) 37.227 * * [simplify]: Extracting #0: cost 1 inf + 0 37.227 * * [simplify]: Extracting #1: cost 7 inf + 0 37.227 * * [simplify]: Extracting #2: cost 16 inf + 0 37.227 * * [simplify]: Extracting #3: cost 17 inf + 2 37.227 * * [simplify]: Extracting #4: cost 15 inf + 408 37.228 * * [simplify]: Extracting #5: cost 14 inf + 409 37.228 * * [simplify]: Extracting #6: cost 9 inf + 975 37.229 * * [simplify]: Extracting #7: cost 1 inf + 2270 37.229 * * [simplify]: Extracting #8: cost 0 inf + 2513 37.230 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 37.230 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2))) (sqrt k))) 37.230 * * * * [progress]: [ 67 / 217 ] simplifiying candidate # 37.231 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 37.231 * * [simplify]: iters left: 6 (8 enodes) 37.236 * * [simplify]: iters left: 5 (31 enodes) 37.244 * * [simplify]: iters left: 4 (42 enodes) 37.250 * * [simplify]: iters left: 3 (46 enodes) 37.257 * * [simplify]: Extracting #0: cost 1 inf + 0 37.257 * * [simplify]: Extracting #1: cost 7 inf + 0 37.257 * * [simplify]: Extracting #2: cost 16 inf + 0 37.257 * * [simplify]: Extracting #3: cost 17 inf + 2 37.258 * * [simplify]: Extracting #4: cost 15 inf + 248 37.258 * * [simplify]: Extracting #5: cost 14 inf + 249 37.258 * * [simplify]: Extracting #6: cost 9 inf + 775 37.259 * * [simplify]: Extracting #7: cost 1 inf + 1910 37.259 * * [simplify]: Extracting #8: cost 0 inf + 2113 37.260 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 37.260 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2))) (sqrt k))) 37.260 * * * * [progress]: [ 68 / 217 ] simplifiying candidate # 37.261 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) 2) 37.261 * * [simplify]: iters left: 6 (7 enodes) 37.265 * * [simplify]: iters left: 5 (29 enodes) 37.275 * * [simplify]: iters left: 4 (38 enodes) 37.286 * * [simplify]: Extracting #0: cost 1 inf + 0 37.286 * * [simplify]: Extracting #1: cost 6 inf + 0 37.286 * * [simplify]: Extracting #2: cost 9 inf + 2 37.286 * * [simplify]: Extracting #3: cost 11 inf + 3 37.286 * * [simplify]: Extracting #4: cost 13 inf + 3 37.286 * * [simplify]: Extracting #5: cost 12 inf + 4 37.286 * * [simplify]: Extracting #6: cost 9 inf + 167 37.286 * * [simplify]: Extracting #7: cost 0 inf + 1304 37.287 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 37.287 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2)) (sqrt k))) 37.287 * * * * [progress]: [ 69 / 217 ] simplifiying candidate # 37.287 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 37.287 * * [simplify]: iters left: 6 (8 enodes) 37.291 * * [simplify]: iters left: 5 (31 enodes) 37.296 * * [simplify]: iters left: 4 (42 enodes) 37.302 * * [simplify]: iters left: 3 (46 enodes) 37.309 * * [simplify]: Extracting #0: cost 1 inf + 0 37.309 * * [simplify]: Extracting #1: cost 7 inf + 0 37.309 * * [simplify]: Extracting #2: cost 16 inf + 0 37.309 * * [simplify]: Extracting #3: cost 17 inf + 2 37.309 * * [simplify]: Extracting #4: cost 15 inf + 408 37.309 * * [simplify]: Extracting #5: cost 14 inf + 409 37.309 * * [simplify]: Extracting #6: cost 9 inf + 975 37.310 * * [simplify]: Extracting #7: cost 1 inf + 2270 37.310 * * [simplify]: Extracting #8: cost 0 inf + 2513 37.310 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 37.310 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2))) (sqrt k))) 37.310 * * * * [progress]: [ 70 / 217 ] simplifiying candidate # 37.311 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 37.311 * * [simplify]: iters left: 6 (8 enodes) 37.313 * * [simplify]: iters left: 5 (31 enodes) 37.320 * * [simplify]: iters left: 4 (42 enodes) 37.336 * * [simplify]: iters left: 3 (46 enodes) 37.352 * * [simplify]: Extracting #0: cost 1 inf + 0 37.352 * * [simplify]: Extracting #1: cost 7 inf + 0 37.352 * * [simplify]: Extracting #2: cost 16 inf + 0 37.352 * * [simplify]: Extracting #3: cost 17 inf + 2 37.352 * * [simplify]: Extracting #4: cost 15 inf + 248 37.353 * * [simplify]: Extracting #5: cost 14 inf + 249 37.353 * * [simplify]: Extracting #6: cost 9 inf + 775 37.354 * * [simplify]: Extracting #7: cost 1 inf + 1910 37.355 * * [simplify]: Extracting #8: cost 0 inf + 2113 37.355 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 37.355 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2))) (sqrt k))) 37.356 * * * * [progress]: [ 71 / 217 ] simplifiying candidate # 37.356 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) 2) 37.356 * * [simplify]: iters left: 6 (7 enodes) 37.361 * * [simplify]: iters left: 5 (29 enodes) 37.370 * * [simplify]: iters left: 4 (38 enodes) 37.381 * * [simplify]: Extracting #0: cost 1 inf + 0 37.381 * * [simplify]: Extracting #1: cost 6 inf + 0 37.381 * * [simplify]: Extracting #2: cost 9 inf + 2 37.381 * * [simplify]: Extracting #3: cost 11 inf + 3 37.382 * * [simplify]: Extracting #4: cost 13 inf + 3 37.382 * * [simplify]: Extracting #5: cost 12 inf + 4 37.382 * * [simplify]: Extracting #6: cost 9 inf + 167 37.382 * * [simplify]: Extracting #7: cost 0 inf + 1304 37.383 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 37.383 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2)) (sqrt k))) 37.383 * * * * [progress]: [ 72 / 217 ] simplifiying candidate # 37.383 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 37.383 * * [simplify]: iters left: 5 (8 enodes) 37.389 * * [simplify]: iters left: 4 (31 enodes) 37.398 * * [simplify]: iters left: 3 (45 enodes) 37.412 * * [simplify]: iters left: 2 (51 enodes) 37.426 * * [simplify]: iters left: 1 (52 enodes) 37.441 * * [simplify]: Extracting #0: cost 1 inf + 0 37.441 * * [simplify]: Extracting #1: cost 8 inf + 0 37.441 * * [simplify]: Extracting #2: cost 18 inf + 0 37.441 * * [simplify]: Extracting #3: cost 19 inf + 2 37.441 * * [simplify]: Extracting #4: cost 9 inf + 977 37.442 * * [simplify]: Extracting #5: cost 2 inf + 1790 37.443 * * [simplify]: Extracting #6: cost 0 inf + 2195 37.444 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 37.444 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 37.444 * * * * [progress]: [ 73 / 217 ] simplifiying candidate # 37.444 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 37.444 * * [simplify]: iters left: 5 (8 enodes) 37.450 * * [simplify]: iters left: 4 (31 enodes) 37.460 * * [simplify]: iters left: 3 (45 enodes) 37.474 * * [simplify]: iters left: 2 (51 enodes) 37.492 * * [simplify]: iters left: 1 (52 enodes) 37.506 * * [simplify]: Extracting #0: cost 1 inf + 0 37.506 * * [simplify]: Extracting #1: cost 8 inf + 0 37.506 * * [simplify]: Extracting #2: cost 18 inf + 0 37.506 * * [simplify]: Extracting #3: cost 19 inf + 2 37.507 * * [simplify]: Extracting #4: cost 9 inf + 697 37.507 * * [simplify]: Extracting #5: cost 2 inf + 1390 37.508 * * [simplify]: Extracting #6: cost 0 inf + 1715 37.508 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 37.509 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 37.509 * * * * [progress]: [ 74 / 217 ] simplifiying candidate # 37.509 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 37.509 * * [simplify]: iters left: 5 (7 enodes) 37.515 * * [simplify]: iters left: 4 (29 enodes) 37.525 * * [simplify]: iters left: 3 (43 enodes) 37.538 * * [simplify]: iters left: 2 (47 enodes) 37.551 * * [simplify]: Extracting #0: cost 1 inf + 0 37.551 * * [simplify]: Extracting #1: cost 7 inf + 0 37.551 * * [simplify]: Extracting #2: cost 11 inf + 2 37.551 * * [simplify]: Extracting #3: cost 13 inf + 3 37.551 * * [simplify]: Extracting #4: cost 11 inf + 45 37.551 * * [simplify]: Extracting #5: cost 0 inf + 1066 37.552 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 37.552 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 37.552 * * * * [progress]: [ 75 / 217 ] simplifiying candidate # 37.552 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 37.552 * * [simplify]: iters left: 5 (7 enodes) 37.557 * * [simplify]: iters left: 4 (28 enodes) 37.566 * * [simplify]: iters left: 3 (39 enodes) 37.578 * * [simplify]: iters left: 2 (43 enodes) 37.591 * * [simplify]: Extracting #0: cost 1 inf + 0 37.591 * * [simplify]: Extracting #1: cost 7 inf + 0 37.591 * * [simplify]: Extracting #2: cost 16 inf + 0 37.591 * * [simplify]: Extracting #3: cost 15 inf + 164 37.591 * * [simplify]: Extracting #4: cost 13 inf + 287 37.592 * * [simplify]: Extracting #5: cost 5 inf + 1180 37.592 * * [simplify]: Extracting #6: cost 0 inf + 1951 37.593 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 37.593 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 37.593 * * * * [progress]: [ 76 / 217 ] simplifiying candidate # 37.593 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 37.593 * * [simplify]: iters left: 5 (7 enodes) 37.598 * * [simplify]: iters left: 4 (28 enodes) 37.608 * * [simplify]: iters left: 3 (39 enodes) 37.620 * * [simplify]: iters left: 2 (43 enodes) 37.633 * * [simplify]: Extracting #0: cost 1 inf + 0 37.633 * * [simplify]: Extracting #1: cost 7 inf + 0 37.633 * * [simplify]: Extracting #2: cost 16 inf + 0 37.633 * * [simplify]: Extracting #3: cost 15 inf + 84 37.634 * * [simplify]: Extracting #4: cost 13 inf + 167 37.634 * * [simplify]: Extracting #5: cost 5 inf + 900 37.634 * * [simplify]: Extracting #6: cost 0 inf + 1551 37.635 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 37.635 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 37.635 * * * * [progress]: [ 77 / 217 ] simplifiying candidate # 37.636 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 37.636 * * [simplify]: iters left: 5 (6 enodes) 37.640 * * [simplify]: iters left: 4 (26 enodes) 37.652 * * [simplify]: iters left: 3 (35 enodes) 37.662 * * [simplify]: Extracting #0: cost 1 inf + 0 37.662 * * [simplify]: Extracting #1: cost 6 inf + 0 37.662 * * [simplify]: Extracting #2: cost 9 inf + 2 37.662 * * [simplify]: Extracting #3: cost 11 inf + 3 37.663 * * [simplify]: Extracting #4: cost 10 inf + 4 37.663 * * [simplify]: Extracting #5: cost 3 inf + 535 37.663 * * [simplify]: Extracting #6: cost 0 inf + 822 37.663 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 37.663 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 37.663 * * * * [progress]: [ 78 / 217 ] simplifiying candidate # 37.663 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 37.663 * * [simplify]: iters left: 5 (6 enodes) 37.666 * * [simplify]: iters left: 4 (26 enodes) 37.670 * * [simplify]: iters left: 3 (35 enodes) 37.675 * * [simplify]: Extracting #0: cost 1 inf + 0 37.675 * * [simplify]: Extracting #1: cost 6 inf + 0 37.675 * * [simplify]: Extracting #2: cost 9 inf + 2 37.675 * * [simplify]: Extracting #3: cost 11 inf + 3 37.676 * * [simplify]: Extracting #4: cost 10 inf + 4 37.676 * * [simplify]: Extracting #5: cost 3 inf + 535 37.676 * * [simplify]: Extracting #6: cost 0 inf + 822 37.676 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 37.676 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) 1) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 37.676 * * * * [progress]: [ 79 / 217 ] simplifiying candidate # 37.676 * [simplify]: Simplifying (/ 1 2) 37.676 * * [simplify]: iters left: 2 (3 enodes) 37.678 * * [simplify]: iters left: 1 (12 enodes) 37.680 * * [simplify]: Extracting #0: cost 1 inf + 0 37.680 * * [simplify]: Extracting #1: cost 0 inf + 1 37.680 * [simplify]: Simplified to 1/2 37.680 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (- 1 (sqrt k))) 1/2) (sqrt k))) 37.680 * * * * [progress]: [ 80 / 217 ] simplifiying candidate # 37.681 * [simplify]: Simplifying (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 37.681 * * [simplify]: iters left: 6 (11 enodes) 37.684 * * [simplify]: iters left: 5 (46 enodes) 37.692 * * [simplify]: iters left: 4 (80 enodes) 37.718 * * [simplify]: iters left: 3 (135 enodes) 37.751 * * [simplify]: iters left: 2 (262 enodes) 37.823 * * [simplify]: Extracting #0: cost 1 inf + 0 37.823 * * [simplify]: Extracting #1: cost 14 inf + 0 37.824 * * [simplify]: Extracting #2: cost 66 inf + 1 37.824 * * [simplify]: Extracting #3: cost 127 inf + 6 37.825 * * [simplify]: Extracting #4: cost 147 inf + 11 37.826 * * [simplify]: Extracting #5: cost 138 inf + 1287 37.828 * * [simplify]: Extracting #6: cost 63 inf + 18963 37.832 * * [simplify]: Extracting #7: cost 21 inf + 37871 37.839 * * [simplify]: Extracting #8: cost 0 inf + 56654 37.849 * * [simplify]: Extracting #9: cost 0 inf + 56392 37.859 * [simplify]: Simplified to (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 37.859 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 37.859 * * * * [progress]: [ 81 / 217 ] simplifiying candidate # 37.860 * [simplify]: Simplifying (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) 37.860 * * [simplify]: iters left: 6 (16 enodes) 37.869 * * [simplify]: iters left: 5 (65 enodes) 37.889 * * [simplify]: iters left: 4 (103 enodes) 37.925 * * [simplify]: iters left: 3 (168 enodes) 37.988 * * [simplify]: iters left: 2 (313 enodes) 38.071 * * [simplify]: Extracting #0: cost 1 inf + 0 38.071 * * [simplify]: Extracting #1: cost 13 inf + 0 38.071 * * [simplify]: Extracting #2: cost 57 inf + 1 38.072 * * [simplify]: Extracting #3: cost 91 inf + 6 38.072 * * [simplify]: Extracting #4: cost 108 inf + 10 38.072 * * [simplify]: Extracting #5: cost 144 inf + 134 38.074 * * [simplify]: Extracting #6: cost 119 inf + 5834 38.078 * * [simplify]: Extracting #7: cost 50 inf + 27411 38.089 * * [simplify]: Extracting #8: cost 6 inf + 63479 38.099 * * [simplify]: Extracting #9: cost 0 inf + 68794 38.109 * [simplify]: Simplified to (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) 38.109 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 38.109 * * * * [progress]: [ 82 / 217 ] simplifiying candidate # 38.109 * [simplify]: Simplifying (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 38.109 * * [simplify]: iters left: 6 (15 enodes) 38.113 * * [simplify]: iters left: 5 (62 enodes) 38.123 * * [simplify]: iters left: 4 (101 enodes) 38.143 * * [simplify]: iters left: 3 (167 enodes) 38.178 * * [simplify]: iters left: 2 (315 enodes) 38.256 * * [simplify]: Extracting #0: cost 1 inf + 0 38.256 * * [simplify]: Extracting #1: cost 14 inf + 0 38.256 * * [simplify]: Extracting #2: cost 59 inf + 1 38.256 * * [simplify]: Extracting #3: cost 106 inf + 6 38.257 * * [simplify]: Extracting #4: cost 152 inf + 10 38.257 * * [simplify]: Extracting #5: cost 158 inf + 359 38.260 * * [simplify]: Extracting #6: cost 72 inf + 25399 38.268 * * [simplify]: Extracting #7: cost 5 inf + 61902 38.277 * * [simplify]: Extracting #8: cost 0 inf + 64859 38.286 * [simplify]: Simplified to (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 38.286 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 38.286 * * * * [progress]: [ 83 / 217 ] simplifiying candidate # 38.286 * [simplify]: Simplifying (pow 1 (/ (- 1 (sqrt k)) 2)) 38.287 * * [simplify]: iters left: 6 (7 enodes) 38.291 * * [simplify]: iters left: 5 (27 enodes) 38.300 * * [simplify]: iters left: 4 (36 enodes) 38.310 * * [simplify]: Extracting #0: cost 1 inf + 0 38.311 * * [simplify]: Extracting #1: cost 0 inf + 1 38.311 * [simplify]: Simplified to 1 38.311 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* 1 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 38.311 * * * * [progress]: [ 84 / 217 ] simplifiying candidate # 38.311 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) 38.311 * * [simplify]: iters left: 6 (15 enodes) 38.320 * * [simplify]: iters left: 5 (64 enodes) 38.341 * * [simplify]: iters left: 4 (107 enodes) 38.380 * * [simplify]: iters left: 3 (172 enodes) 38.415 * * [simplify]: iters left: 2 (308 enodes) 38.511 * * [simplify]: Extracting #0: cost 1 inf + 0 38.511 * * [simplify]: Extracting #1: cost 13 inf + 0 38.512 * * [simplify]: Extracting #2: cost 65 inf + 1 38.512 * * [simplify]: Extracting #3: cost 139 inf + 5 38.513 * * [simplify]: Extracting #4: cost 163 inf + 137 38.515 * * [simplify]: Extracting #5: cost 156 inf + 677 38.518 * * [simplify]: Extracting #6: cost 90 inf + 10197 38.528 * * [simplify]: Extracting #7: cost 37 inf + 36450 38.546 * * [simplify]: Extracting #8: cost 1 inf + 71295 38.565 * * [simplify]: Extracting #9: cost 0 inf + 71579 38.586 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 38.586 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 38.586 * * * * [progress]: [ 85 / 217 ] simplifiying candidate # 38.586 * * * * [progress]: [ 86 / 217 ] simplifiying candidate # 38.586 * * * * [progress]: [ 87 / 217 ] simplifiying candidate # 38.586 * * * * [progress]: [ 88 / 217 ] simplifiying candidate # 38.587 * * * * [progress]: [ 89 / 217 ] simplifiying candidate # 38.587 * * * * [progress]: [ 90 / 217 ] simplifiying candidate # 38.587 * * * * [progress]: [ 91 / 217 ] simplifiying candidate # 38.587 * * * * [progress]: [ 92 / 217 ] simplifiying candidate # 38.587 * * * * [progress]: [ 93 / 217 ] simplifiying candidate #real (real->posit16 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt k)))> 38.587 * * * * [progress]: [ 94 / 217 ] simplifiying candidate # 38.587 * * * * [progress]: [ 95 / 217 ] simplifiying candidate # 38.587 * * * * [progress]: [ 96 / 217 ] simplifiying candidate # 38.587 * [simplify]: Simplifying (* n (* 2 PI)) 38.587 * * [simplify]: iters left: 4 (5 enodes) 38.590 * * [simplify]: iters left: 3 (19 enodes) 38.596 * * [simplify]: iters left: 2 (27 enodes) 38.601 * * [simplify]: iters left: 1 (32 enodes) 38.605 * * [simplify]: Extracting #0: cost 1 inf + 0 38.605 * * [simplify]: Extracting #1: cost 8 inf + 0 38.605 * * [simplify]: Extracting #2: cost 7 inf + 45 38.605 * * [simplify]: Extracting #3: cost 0 inf + 421 38.606 * [simplify]: Simplified to (* (* PI 2) n) 38.606 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (pow (pow (pow (* (* PI 2) n) 1) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 38.606 * * * * [progress]: [ 97 / 217 ] simplifiying candidate # 38.606 * [simplify]: Simplifying (* n (* 2 PI)) 38.606 * * [simplify]: iters left: 4 (5 enodes) 38.611 * * [simplify]: iters left: 3 (19 enodes) 38.614 * * [simplify]: iters left: 2 (27 enodes) 38.618 * * [simplify]: iters left: 1 (32 enodes) 38.622 * * [simplify]: Extracting #0: cost 1 inf + 0 38.622 * * [simplify]: Extracting #1: cost 8 inf + 0 38.622 * * [simplify]: Extracting #2: cost 7 inf + 45 38.623 * * [simplify]: Extracting #3: cost 0 inf + 421 38.623 * [simplify]: Simplified to (* (* PI 2) n) 38.623 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (pow (pow (pow (* (* PI 2) n) 1) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 38.623 * * * * [progress]: [ 98 / 217 ] simplifiying candidate # 38.623 * * * * [progress]: [ 99 / 217 ] simplifiying candidate # 38.623 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 38.623 * * [simplify]: iters left: 5 (8 enodes) 38.627 * * [simplify]: iters left: 4 (28 enodes) 38.637 * * [simplify]: iters left: 3 (36 enodes) 38.647 * * [simplify]: iters left: 2 (42 enodes) 38.658 * * [simplify]: Extracting #0: cost 1 inf + 0 38.658 * * [simplify]: Extracting #1: cost 8 inf + 0 38.658 * * [simplify]: Extracting #2: cost 17 inf + 0 38.658 * * [simplify]: Extracting #3: cost 12 inf + 145 38.658 * * [simplify]: Extracting #4: cost 5 inf + 1197 38.659 * * [simplify]: Extracting #5: cost 1 inf + 1925 38.660 * * [simplify]: Extracting #6: cost 0 inf + 2107 38.660 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 38.660 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (pow (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 38.660 * * * * [progress]: [ 100 / 217 ] simplifiying candidate # 38.661 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 38.661 * * [simplify]: iters left: 5 (7 enodes) 38.665 * * [simplify]: iters left: 4 (26 enodes) 38.673 * * [simplify]: iters left: 3 (35 enodes) 38.683 * * [simplify]: iters left: 2 (44 enodes) 38.695 * * [simplify]: Extracting #0: cost 1 inf + 0 38.695 * * [simplify]: Extracting #1: cost 8 inf + 0 38.695 * * [simplify]: Extracting #2: cost 18 inf + 0 38.696 * * [simplify]: Extracting #3: cost 15 inf + 74 38.696 * * [simplify]: Extracting #4: cost 8 inf + 554 38.696 * * [simplify]: Extracting #5: cost 0 inf + 1911 38.697 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 38.697 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (pow (pow (exp (+ (log n) (log (* 2 PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 38.697 * * * * [progress]: [ 101 / 217 ] simplifiying candidate # 38.697 * * * * [progress]: [ 102 / 217 ] simplifiying candidate # 38.697 * * * * [progress]: [ 103 / 217 ] simplifiying candidate # 38.698 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 38.698 * * [simplify]: iters left: 6 (11 enodes) 38.706 * * [simplify]: iters left: 5 (48 enodes) 38.724 * * [simplify]: iters left: 4 (121 enodes) 38.786 * * [simplify]: iters left: 3 (348 enodes) 38.980 * * [simplify]: Extracting #0: cost 1 inf + 0 38.980 * * [simplify]: Extracting #1: cost 67 inf + 0 38.981 * * [simplify]: Extracting #2: cost 165 inf + 786 38.987 * * [simplify]: Extracting #3: cost 85 inf + 10177 38.993 * * [simplify]: Extracting #4: cost 9 inf + 26399 39.001 * * [simplify]: Extracting #5: cost 0 inf + 28546 39.014 * * [simplify]: Extracting #6: cost 0 inf + 28506 39.027 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 39.027 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (pow (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 39.027 * * * * [progress]: [ 104 / 217 ] simplifiying candidate # 39.027 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 39.028 * * [simplify]: iters left: 6 (9 enodes) 39.034 * * [simplify]: iters left: 5 (45 enodes) 39.051 * * [simplify]: iters left: 4 (117 enodes) 39.118 * * [simplify]: iters left: 3 (374 enodes) 39.430 * * [simplify]: Extracting #0: cost 1 inf + 0 39.430 * * [simplify]: Extracting #1: cost 77 inf + 0 39.432 * * [simplify]: Extracting #2: cost 184 inf + 984 39.439 * * [simplify]: Extracting #3: cost 106 inf + 11690 39.456 * * [simplify]: Extracting #4: cost 6 inf + 30376 39.466 * * [simplify]: Extracting #5: cost 0 inf + 31644 39.475 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 39.475 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (pow (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 39.475 * * * * [progress]: [ 105 / 217 ] simplifiying candidate # 39.475 * * * * [progress]: [ 106 / 217 ] simplifiying candidate # 39.475 * * * * [progress]: [ 107 / 217 ] simplifiying candidate # 39.475 * * * * [progress]: [ 108 / 217 ] simplifiying candidate # 39.475 * * * * [progress]: [ 109 / 217 ] simplifiying candidate # 39.475 * * * * [progress]: [ 110 / 217 ] simplifiying candidate # 39.475 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 39.475 * * [simplify]: iters left: 3 (3 enodes) 39.476 * * [simplify]: iters left: 2 (9 enodes) 39.477 * * [simplify]: Extracting #0: cost 1 inf + 0 39.477 * * [simplify]: Extracting #1: cost 3 inf + 0 39.477 * * [simplify]: Extracting #2: cost 5 inf + 0 39.477 * * [simplify]: Extracting #3: cost 4 inf + 1 39.478 * * [simplify]: Extracting #4: cost 0 inf + 405 39.478 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 39.478 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (pow (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 39.478 * * * * [progress]: [ 111 / 217 ] simplifiying candidate # 39.478 * [simplify]: Simplifying (sqrt n) 39.478 * * [simplify]: iters left: 1 (2 enodes) 39.478 * * [simplify]: Extracting #0: cost 1 inf + 0 39.478 * * [simplify]: Extracting #1: cost 3 inf + 0 39.478 * * [simplify]: Extracting #2: cost 2 inf + 1 39.478 * * [simplify]: Extracting #3: cost 0 inf + 83 39.478 * [simplify]: Simplified to (sqrt n) 39.479 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (pow (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 39.479 * * * * [progress]: [ 112 / 217 ] simplifiying candidate # 39.479 * * * * [progress]: [ 113 / 217 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))> 39.479 * * * * [progress]: [ 114 / 217 ] simplifiying candidate # 39.479 * * * * [progress]: [ 115 / 217 ] simplifiying candidate # 39.479 * * * * [progress]: [ 116 / 217 ] simplifiying candidate # 39.479 * * * * [progress]: [ 117 / 217 ] simplifiying candidate # 39.479 * * * * [progress]: [ 118 / 217 ] simplifiying candidate # 39.479 * [simplify]: Simplifying (- (* (* (+ (log n) (+ (log 2) (log PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))) 39.479 * * [simplify]: iters left: 6 (19 enodes) 39.485 * * [simplify]: iters left: 5 (79 enodes) 39.508 * * [simplify]: iters left: 4 (150 enodes) 39.573 * * [simplify]: Extracting #0: cost 1 inf + 0 39.573 * * [simplify]: Extracting #1: cost 11 inf + 0 39.573 * * [simplify]: Extracting #2: cost 115 inf + 0 39.574 * * [simplify]: Extracting #3: cost 162 inf + 74 39.575 * * [simplify]: Extracting #4: cost 163 inf + 1060 39.582 * * [simplify]: Extracting #5: cost 73 inf + 23957 39.598 * * [simplify]: Extracting #6: cost 5 inf + 43565 39.611 * * [simplify]: Extracting #7: cost 0 inf + 45708 39.620 * [simplify]: Simplified to (- (* (fma (sqrt k) (+ (log n) (+ (log 2) (log PI))) (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))) 39.620 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (fma (sqrt k) (+ (log n) (+ (log 2) (log PI))) (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))))) 39.620 * * * * [progress]: [ 119 / 217 ] simplifiying candidate # 39.620 * [simplify]: Simplifying (- (* (* (+ (log n) (log (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))) 39.620 * * [simplify]: iters left: 6 (18 enodes) 39.629 * * [simplify]: iters left: 5 (77 enodes) 39.643 * * [simplify]: iters left: 4 (143 enodes) 39.679 * * [simplify]: iters left: 3 (443 enodes) 39.981 * * [simplify]: Extracting #0: cost 1 inf + 0 39.981 * * [simplify]: Extracting #1: cost 29 inf + 0 39.982 * * [simplify]: Extracting #2: cost 184 inf + 0 39.983 * * [simplify]: Extracting #3: cost 323 inf + 74 39.985 * * [simplify]: Extracting #4: cost 377 inf + 1560 39.990 * * [simplify]: Extracting #5: cost 260 inf + 30894 40.022 * * [simplify]: Extracting #6: cost 24 inf + 104277 40.074 * * [simplify]: Extracting #7: cost 0 inf + 114393 40.106 * [simplify]: Simplified to (- (/ (- (fma (+ (log n) (log (* 2 PI))) (sqrt k) (+ (log n) (log (* 2 PI)))) (* (sqrt k) (fma (+ (log n) (log (* 2 PI))) (sqrt k) (+ (log n) (log (* 2 PI)))))) 2) (log (sqrt k))) 40.106 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (fma (+ (log n) (log (* 2 PI))) (sqrt k) (+ (log n) (log (* 2 PI)))) (* (sqrt k) (fma (+ (log n) (log (* 2 PI))) (sqrt k) (+ (log n) (log (* 2 PI)))))) 2) (log (sqrt k))))) 40.106 * * * * [progress]: [ 120 / 217 ] simplifiying candidate # 40.106 * [simplify]: Simplifying (- (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))) 40.107 * * [simplify]: iters left: 6 (17 enodes) 40.112 * * [simplify]: iters left: 5 (76 enodes) 40.125 * * [simplify]: iters left: 4 (150 enodes) 40.162 * * [simplify]: iters left: 3 (416 enodes) 40.427 * * [simplify]: Extracting #0: cost 1 inf + 0 40.427 * * [simplify]: Extracting #1: cost 24 inf + 0 40.428 * * [simplify]: Extracting #2: cost 172 inf + 0 40.429 * * [simplify]: Extracting #3: cost 310 inf + 3 40.431 * * [simplify]: Extracting #4: cost 361 inf + 1945 40.436 * * [simplify]: Extracting #5: cost 223 inf + 34269 40.460 * * [simplify]: Extracting #6: cost 26 inf + 90986 40.491 * * [simplify]: Extracting #7: cost 0 inf + 98344 40.520 * * [simplify]: Extracting #8: cost 0 inf + 98267 40.557 * [simplify]: Simplified to (- (/ (- (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (* (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (sqrt k))) 2) (log (sqrt k))) 40.557 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (* (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (sqrt k))) 2) (log (sqrt k))))) 40.557 * * * * [progress]: [ 121 / 217 ] simplifiying candidate # 40.557 * [simplify]: Simplifying (- (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))) 40.558 * * [simplify]: iters left: 6 (17 enodes) 40.563 * * [simplify]: iters left: 5 (76 enodes) 40.580 * * [simplify]: iters left: 4 (150 enodes) 40.641 * * [simplify]: iters left: 3 (416 enodes) 40.947 * * [simplify]: Extracting #0: cost 1 inf + 0 40.947 * * [simplify]: Extracting #1: cost 24 inf + 0 40.948 * * [simplify]: Extracting #2: cost 172 inf + 0 40.950 * * [simplify]: Extracting #3: cost 310 inf + 3 40.953 * * [simplify]: Extracting #4: cost 361 inf + 1945 40.965 * * [simplify]: Extracting #5: cost 223 inf + 34269 41.004 * * [simplify]: Extracting #6: cost 26 inf + 90986 41.049 * * [simplify]: Extracting #7: cost 0 inf + 98344 41.096 * * [simplify]: Extracting #8: cost 0 inf + 98267 41.119 * [simplify]: Simplified to (- (/ (- (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (* (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (sqrt k))) 2) (log (sqrt k))) 41.119 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (* (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (sqrt k))) 2) (log (sqrt k))))) 41.119 * * * * [progress]: [ 122 / 217 ] simplifiying candidate # 41.119 * [simplify]: Simplifying (- (* (log (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))) 41.119 * * [simplify]: iters left: 6 (17 enodes) 41.124 * * [simplify]: iters left: 5 (73 enodes) 41.147 * * [simplify]: iters left: 4 (133 enodes) 41.203 * * [simplify]: iters left: 3 (310 enodes) 41.372 * * [simplify]: Extracting #0: cost 1 inf + 0 41.372 * * [simplify]: Extracting #1: cost 28 inf + 0 41.372 * * [simplify]: Extracting #2: cost 171 inf + 0 41.373 * * [simplify]: Extracting #3: cost 293 inf + 74 41.376 * * [simplify]: Extracting #4: cost 311 inf + 11827 41.386 * * [simplify]: Extracting #5: cost 130 inf + 57391 41.419 * * [simplify]: Extracting #6: cost 26 inf + 85691 41.464 * * [simplify]: Extracting #7: cost 1 inf + 95653 41.506 * * [simplify]: Extracting #8: cost 0 inf + 96150 41.546 * [simplify]: Simplified to (- (/ (- (fma (log (* (* PI 2) n)) (sqrt k) (log (* (* PI 2) n))) (* (fma (log (* (* PI 2) n)) (sqrt k) (log (* (* PI 2) n))) (sqrt k))) 2) (log (sqrt k))) 41.546 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (fma (log (* (* PI 2) n)) (sqrt k) (log (* (* PI 2) n))) (* (fma (log (* (* PI 2) n)) (sqrt k) (log (* (* PI 2) n))) (sqrt k))) 2) (log (sqrt k))))) 41.546 * * * * [progress]: [ 123 / 217 ] simplifiying candidate # 41.546 * [simplify]: Simplifying (- (* (log (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))) 41.547 * * [simplify]: iters left: 6 (17 enodes) 41.556 * * [simplify]: iters left: 5 (73 enodes) 41.579 * * [simplify]: iters left: 4 (133 enodes) 41.635 * * [simplify]: iters left: 3 (310 enodes) 41.823 * * [simplify]: Extracting #0: cost 1 inf + 0 41.824 * * [simplify]: Extracting #1: cost 28 inf + 0 41.824 * * [simplify]: Extracting #2: cost 171 inf + 0 41.825 * * [simplify]: Extracting #3: cost 293 inf + 74 41.827 * * [simplify]: Extracting #4: cost 311 inf + 11827 41.837 * * [simplify]: Extracting #5: cost 130 inf + 57391 41.863 * * [simplify]: Extracting #6: cost 26 inf + 85691 41.908 * * [simplify]: Extracting #7: cost 1 inf + 95653 41.948 * * [simplify]: Extracting #8: cost 0 inf + 96150 41.979 * [simplify]: Simplified to (- (/ (- (fma (log (* (* PI 2) n)) (sqrt k) (log (* (* PI 2) n))) (* (fma (log (* (* PI 2) n)) (sqrt k) (log (* (* PI 2) n))) (sqrt k))) 2) (log (sqrt k))) 41.979 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (fma (log (* (* PI 2) n)) (sqrt k) (log (* (* PI 2) n))) (* (fma (log (* (* PI 2) n)) (sqrt k) (log (* (* PI 2) n))) (sqrt k))) 2) (log (sqrt k))))) 41.979 * * * * [progress]: [ 124 / 217 ] simplifiying candidate # 41.979 * [simplify]: Simplifying (- (log (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (log (sqrt k))) 41.979 * * [simplify]: iters left: 6 (17 enodes) 41.984 * * [simplify]: iters left: 5 (72 enodes) 41.996 * * [simplify]: iters left: 4 (129 enodes) 42.038 * * [simplify]: iters left: 3 (246 enodes) 42.131 * * [simplify]: Extracting #0: cost 1 inf + 0 42.131 * * [simplify]: Extracting #1: cost 21 inf + 0 42.132 * * [simplify]: Extracting #2: cost 152 inf + 0 42.133 * * [simplify]: Extracting #3: cost 247 inf + 76 42.137 * * [simplify]: Extracting #4: cost 224 inf + 10457 42.149 * * [simplify]: Extracting #5: cost 64 inf + 52513 42.162 * * [simplify]: Extracting #6: cost 7 inf + 78108 42.179 * * [simplify]: Extracting #7: cost 0 inf + 83754 42.206 * [simplify]: Simplified to (- (* (+ 1 (sqrt k)) (* (/ (- 1 (sqrt k)) 2) (log (* (* PI 2) n)))) (log (sqrt k))) 42.206 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ 1 (sqrt k)) (* (/ (- 1 (sqrt k)) 2) (log (* (* PI 2) n)))) (log (sqrt k))))) 42.206 * * * * [progress]: [ 125 / 217 ] simplifiying candidate # 42.206 * * * * [progress]: [ 126 / 217 ] simplifiying candidate # 42.206 * * * * [progress]: [ 127 / 217 ] simplifiying candidate # 42.206 * [simplify]: Simplifying (/ (* (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 42.206 * * [simplify]: iters left: 6 (19 enodes) 42.212 * * [simplify]: iters left: 5 (83 enodes) 42.228 * * [simplify]: iters left: 4 (185 enodes) 42.276 * * [simplify]: Extracting #0: cost 1 inf + 0 42.276 * * [simplify]: Extracting #1: cost 48 inf + 0 42.276 * * [simplify]: Extracting #2: cost 107 inf + 123 42.277 * * [simplify]: Extracting #3: cost 135 inf + 246 42.278 * * [simplify]: Extracting #4: cost 151 inf + 498 42.280 * * [simplify]: Extracting #5: cost 126 inf + 3981 42.289 * * [simplify]: Extracting #6: cost 59 inf + 46520 42.313 * * [simplify]: Extracting #7: cost 3 inf + 93188 42.334 * * [simplify]: Extracting #8: cost 0 inf + 95799 42.347 * [simplify]: Simplified to (/ (* (* (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))) (* (sqrt k) k)) 42.347 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))) (* (sqrt k) k)))) 42.347 * * * * [progress]: [ 128 / 217 ] simplifiying candidate # 42.347 * * * * [progress]: [ 129 / 217 ] simplifiying candidate # 42.347 * * * * [progress]: [ 130 / 217 ] simplifiying candidate # 42.347 * * * * [progress]: [ 131 / 217 ] simplifiying candidate # 42.347 * * * * [progress]: [ 132 / 217 ] simplifiying candidate # 42.348 * [simplify]: Simplifying (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 42.348 * * [simplify]: iters left: 6 (14 enodes) 42.352 * * [simplify]: iters left: 5 (57 enodes) 42.366 * * [simplify]: iters left: 4 (99 enodes) 42.399 * * [simplify]: iters left: 3 (179 enodes) 42.470 * * [simplify]: iters left: 2 (369 enodes) 42.587 * * [simplify]: Extracting #0: cost 1 inf + 0 42.587 * * [simplify]: Extracting #1: cost 54 inf + 0 42.587 * * [simplify]: Extracting #2: cost 149 inf + 0 42.588 * * [simplify]: Extracting #3: cost 221 inf + 2 42.589 * * [simplify]: Extracting #4: cost 246 inf + 1691 42.594 * * [simplify]: Extracting #5: cost 182 inf + 38892 42.619 * * [simplify]: Extracting #6: cost 41 inf + 147726 42.661 * * [simplify]: Extracting #7: cost 13 inf + 165202 42.687 * * [simplify]: Extracting #8: cost 0 inf + 172750 42.725 * [simplify]: Simplified to (/ (pow (pow n (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 42.725 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow n (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 42.726 * [simplify]: Simplifying (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 42.726 * * [simplify]: iters left: 6 (14 enodes) 42.734 * * [simplify]: iters left: 5 (56 enodes) 42.753 * * [simplify]: iters left: 4 (88 enodes) 42.782 * * [simplify]: iters left: 3 (151 enodes) 42.823 * * [simplify]: iters left: 2 (310 enodes) 42.948 * * [simplify]: Extracting #0: cost 1 inf + 0 42.952 * * [simplify]: Extracting #1: cost 30 inf + 0 42.953 * * [simplify]: Extracting #2: cost 74 inf + 0 42.953 * * [simplify]: Extracting #3: cost 133 inf + 2 42.954 * * [simplify]: Extracting #4: cost 173 inf + 216 42.957 * * [simplify]: Extracting #5: cost 149 inf + 8810 42.967 * * [simplify]: Extracting #6: cost 71 inf + 40042 42.988 * * [simplify]: Extracting #7: cost 11 inf + 91635 43.004 * * [simplify]: Extracting #8: cost 0 inf + 99522 43.016 * [simplify]: Simplified to (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 43.016 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 43.016 * * * * [progress]: [ 133 / 217 ] simplifiying candidate # 43.017 * [simplify]: Simplifying (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) 43.017 * * [simplify]: iters left: 6 (15 enodes) 43.021 * * [simplify]: iters left: 5 (59 enodes) 43.032 * * [simplify]: iters left: 4 (95 enodes) 43.048 * * [simplify]: iters left: 3 (160 enodes) 43.094 * * [simplify]: iters left: 2 (308 enodes) 43.170 * * [simplify]: Extracting #0: cost 1 inf + 0 43.171 * * [simplify]: Extracting #1: cost 30 inf + 0 43.171 * * [simplify]: Extracting #2: cost 78 inf + 0 43.172 * * [simplify]: Extracting #3: cost 139 inf + 2 43.173 * * [simplify]: Extracting #4: cost 182 inf + 12 43.175 * * [simplify]: Extracting #5: cost 163 inf + 7277 43.182 * * [simplify]: Extracting #6: cost 87 inf + 32909 43.192 * * [simplify]: Extracting #7: cost 19 inf + 85452 43.202 * * [simplify]: Extracting #8: cost 0 inf + 100759 43.214 * [simplify]: Simplified to (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (fabs (cbrt k))) 43.214 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (fabs (cbrt k))) (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 43.215 * [simplify]: Simplifying (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 43.215 * * [simplify]: iters left: 6 (15 enodes) 43.223 * * [simplify]: iters left: 5 (59 enodes) 43.242 * * [simplify]: iters left: 4 (91 enodes) 43.262 * * [simplify]: iters left: 3 (157 enodes) 43.304 * * [simplify]: iters left: 2 (318 enodes) 43.411 * * [simplify]: Extracting #0: cost 1 inf + 0 43.411 * * [simplify]: Extracting #1: cost 30 inf + 0 43.411 * * [simplify]: Extracting #2: cost 74 inf + 0 43.412 * * [simplify]: Extracting #3: cost 135 inf + 2 43.412 * * [simplify]: Extracting #4: cost 174 inf + 11 43.414 * * [simplify]: Extracting #5: cost 174 inf + 2813 43.421 * * [simplify]: Extracting #6: cost 95 inf + 29479 43.435 * * [simplify]: Extracting #7: cost 28 inf + 73721 43.447 * * [simplify]: Extracting #8: cost 0 inf + 100574 43.459 * [simplify]: Simplified to (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt (cbrt k))) 43.459 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (fabs (cbrt k))) (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt (cbrt k))))) 43.459 * * * * [progress]: [ 134 / 217 ] simplifiying candidate # 43.460 * [simplify]: Simplifying (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 43.460 * * [simplify]: iters left: 6 (13 enodes) 43.464 * * [simplify]: iters left: 5 (52 enodes) 43.483 * * [simplify]: iters left: 4 (88 enodes) 43.498 * * [simplify]: iters left: 3 (149 enodes) 43.541 * * [simplify]: iters left: 2 (292 enodes) 43.636 * * [simplify]: Extracting #0: cost 1 inf + 0 43.637 * * [simplify]: Extracting #1: cost 30 inf + 0 43.637 * * [simplify]: Extracting #2: cost 74 inf + 0 43.637 * * [simplify]: Extracting #3: cost 135 inf + 2 43.638 * * [simplify]: Extracting #4: cost 165 inf + 1124 43.640 * * [simplify]: Extracting #5: cost 135 inf + 14145 43.647 * * [simplify]: Extracting #6: cost 44 inf + 65948 43.658 * * [simplify]: Extracting #7: cost 8 inf + 90561 43.677 * * [simplify]: Extracting #8: cost 0 inf + 95844 43.704 * [simplify]: Simplified to (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 43.704 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 43.704 * [simplify]: Simplifying (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 43.704 * * [simplify]: iters left: 6 (14 enodes) 43.708 * * [simplify]: iters left: 5 (56 enodes) 43.718 * * [simplify]: iters left: 4 (88 enodes) 43.732 * * [simplify]: iters left: 3 (151 enodes) 43.776 * * [simplify]: iters left: 2 (310 enodes) 43.883 * * [simplify]: Extracting #0: cost 1 inf + 0 43.883 * * [simplify]: Extracting #1: cost 30 inf + 0 43.883 * * [simplify]: Extracting #2: cost 74 inf + 0 43.884 * * [simplify]: Extracting #3: cost 133 inf + 2 43.885 * * [simplify]: Extracting #4: cost 173 inf + 216 43.887 * * [simplify]: Extracting #5: cost 149 inf + 8690 43.897 * * [simplify]: Extracting #6: cost 71 inf + 39562 43.918 * * [simplify]: Extracting #7: cost 11 inf + 90275 43.945 * * [simplify]: Extracting #8: cost 0 inf + 98042 43.968 * [simplify]: Simplified to (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 43.968 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 43.969 * * * * [progress]: [ 135 / 217 ] simplifiying candidate # 43.969 * [simplify]: Simplifying (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt 1)) 43.969 * * [simplify]: iters left: 6 (13 enodes) 43.979 * * [simplify]: iters left: 5 (52 enodes) 43.997 * * [simplify]: iters left: 4 (86 enodes) 44.025 * * [simplify]: iters left: 3 (143 enodes) 44.065 * * [simplify]: iters left: 2 (276 enodes) 44.168 * * [simplify]: Extracting #0: cost 1 inf + 0 44.169 * * [simplify]: Extracting #1: cost 20 inf + 0 44.169 * * [simplify]: Extracting #2: cost 79 inf + 2 44.170 * * [simplify]: Extracting #3: cost 143 inf + 6 44.171 * * [simplify]: Extracting #4: cost 161 inf + 11 44.172 * * [simplify]: Extracting #5: cost 151 inf + 1262 44.177 * * [simplify]: Extracting #6: cost 79 inf + 16275 44.188 * * [simplify]: Extracting #7: cost 25 inf + 45902 44.208 * * [simplify]: Extracting #8: cost 0 inf + 67337 44.224 * * [simplify]: Extracting #9: cost 0 inf + 66813 44.240 * [simplify]: Simplified to (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 44.241 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 44.241 * [simplify]: Simplifying (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 44.241 * * [simplify]: iters left: 6 (13 enodes) 44.248 * * [simplify]: iters left: 5 (53 enodes) 44.266 * * [simplify]: iters left: 4 (85 enodes) 44.296 * * [simplify]: iters left: 3 (151 enodes) 44.357 * * [simplify]: iters left: 2 (312 enodes) 44.436 * * [simplify]: Extracting #0: cost 1 inf + 0 44.436 * * [simplify]: Extracting #1: cost 30 inf + 0 44.436 * * [simplify]: Extracting #2: cost 74 inf + 0 44.436 * * [simplify]: Extracting #3: cost 132 inf + 44 44.437 * * [simplify]: Extracting #4: cost 167 inf + 748 44.441 * * [simplify]: Extracting #5: cost 142 inf + 9220 44.448 * * [simplify]: Extracting #6: cost 53 inf + 55806 44.459 * * [simplify]: Extracting #7: cost 3 inf + 95876 44.471 * * [simplify]: Extracting #8: cost 0 inf + 98545 44.492 * [simplify]: Simplified to (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 44.492 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 44.492 * * * * [progress]: [ 136 / 217 ] simplifiying candidate # 44.493 * [simplify]: Simplifying (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 44.493 * * [simplify]: iters left: 6 (13 enodes) 44.500 * * [simplify]: iters left: 5 (52 enodes) 44.518 * * [simplify]: iters left: 4 (88 enodes) 44.535 * * [simplify]: iters left: 3 (149 enodes) 44.581 * * [simplify]: iters left: 2 (292 enodes) 44.670 * * [simplify]: Extracting #0: cost 1 inf + 0 44.670 * * [simplify]: Extracting #1: cost 30 inf + 0 44.670 * * [simplify]: Extracting #2: cost 74 inf + 0 44.671 * * [simplify]: Extracting #3: cost 135 inf + 2 44.672 * * [simplify]: Extracting #4: cost 165 inf + 1124 44.676 * * [simplify]: Extracting #5: cost 135 inf + 14145 44.690 * * [simplify]: Extracting #6: cost 44 inf + 65948 44.710 * * [simplify]: Extracting #7: cost 8 inf + 90561 44.732 * * [simplify]: Extracting #8: cost 0 inf + 95844 44.743 * [simplify]: Simplified to (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 44.743 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 44.744 * [simplify]: Simplifying (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 44.744 * * [simplify]: iters left: 6 (14 enodes) 44.748 * * [simplify]: iters left: 5 (56 enodes) 44.757 * * [simplify]: iters left: 4 (88 enodes) 44.775 * * [simplify]: iters left: 3 (151 enodes) 44.805 * * [simplify]: iters left: 2 (310 enodes) 44.917 * * [simplify]: Extracting #0: cost 1 inf + 0 44.917 * * [simplify]: Extracting #1: cost 30 inf + 0 44.917 * * [simplify]: Extracting #2: cost 74 inf + 0 44.918 * * [simplify]: Extracting #3: cost 133 inf + 2 44.918 * * [simplify]: Extracting #4: cost 173 inf + 216 44.920 * * [simplify]: Extracting #5: cost 149 inf + 8690 44.925 * * [simplify]: Extracting #6: cost 71 inf + 39562 44.934 * * [simplify]: Extracting #7: cost 11 inf + 90275 44.946 * * [simplify]: Extracting #8: cost 0 inf + 98042 44.958 * [simplify]: Simplified to (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 44.959 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 44.959 * * * * [progress]: [ 137 / 217 ] simplifiying candidate # 44.959 * [simplify]: Simplifying (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 1) 44.959 * * [simplify]: iters left: 6 (12 enodes) 44.963 * * [simplify]: iters left: 5 (47 enodes) 44.975 * * [simplify]: iters left: 4 (83 enodes) 45.001 * * [simplify]: iters left: 3 (144 enodes) 45.056 * * [simplify]: iters left: 2 (288 enodes) 45.136 * * [simplify]: Extracting #0: cost 1 inf + 0 45.136 * * [simplify]: Extracting #1: cost 31 inf + 0 45.136 * * [simplify]: Extracting #2: cost 97 inf + 2 45.136 * * [simplify]: Extracting #3: cost 166 inf + 6 45.137 * * [simplify]: Extracting #4: cost 184 inf + 11 45.138 * * [simplify]: Extracting #5: cost 158 inf + 4461 45.141 * * [simplify]: Extracting #6: cost 89 inf + 23157 45.152 * * [simplify]: Extracting #7: cost 24 inf + 67775 45.170 * * [simplify]: Extracting #8: cost 0 inf + 88412 45.180 * * [simplify]: Extracting #9: cost 0 inf + 88322 45.194 * [simplify]: Simplified to (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 45.194 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 45.194 * [simplify]: Simplifying (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 45.194 * * [simplify]: iters left: 6 (13 enodes) 45.200 * * [simplify]: iters left: 5 (53 enodes) 45.217 * * [simplify]: iters left: 4 (85 enodes) 45.237 * * [simplify]: iters left: 3 (151 enodes) 45.274 * * [simplify]: iters left: 2 (312 enodes) 45.376 * * [simplify]: Extracting #0: cost 1 inf + 0 45.376 * * [simplify]: Extracting #1: cost 30 inf + 0 45.376 * * [simplify]: Extracting #2: cost 74 inf + 0 45.377 * * [simplify]: Extracting #3: cost 132 inf + 44 45.378 * * [simplify]: Extracting #4: cost 167 inf + 748 45.381 * * [simplify]: Extracting #5: cost 142 inf + 9220 45.394 * * [simplify]: Extracting #6: cost 53 inf + 55806 45.420 * * [simplify]: Extracting #7: cost 3 inf + 95876 45.445 * * [simplify]: Extracting #8: cost 0 inf + 98545 45.468 * [simplify]: Simplified to (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 45.469 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 45.469 * * * * [progress]: [ 138 / 217 ] simplifiying candidate # 45.469 * [simplify]: Simplifying (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 45.469 * * [simplify]: iters left: 6 (19 enodes) 45.480 * * [simplify]: iters left: 5 (76 enodes) 45.499 * * [simplify]: iters left: 4 (126 enodes) 45.520 * * [simplify]: iters left: 3 (207 enodes) 45.568 * * [simplify]: iters left: 2 (396 enodes) 45.681 * * [simplify]: Extracting #0: cost 1 inf + 0 45.682 * * [simplify]: Extracting #1: cost 55 inf + 0 45.682 * * [simplify]: Extracting #2: cost 148 inf + 0 45.683 * * [simplify]: Extracting #3: cost 212 inf + 2 45.684 * * [simplify]: Extracting #4: cost 206 inf + 1561 45.686 * * [simplify]: Extracting #5: cost 187 inf + 6050 45.691 * * [simplify]: Extracting #6: cost 213 inf + 7606 45.697 * * [simplify]: Extracting #7: cost 206 inf + 18880 45.728 * * [simplify]: Extracting #8: cost 87 inf + 124058 45.795 * * [simplify]: Extracting #9: cost 6 inf + 208469 45.861 * * [simplify]: Extracting #10: cost 0 inf + 210145 45.899 * * [simplify]: Extracting #11: cost 0 inf + 209451 45.940 * [simplify]: Simplified to (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 45.940 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 45.940 * [simplify]: Simplifying (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 45.941 * * [simplify]: iters left: 6 (17 enodes) 45.950 * * [simplify]: iters left: 5 (68 enodes) 45.972 * * [simplify]: iters left: 4 (108 enodes) 46.008 * * [simplify]: iters left: 3 (179 enodes) 46.077 * * [simplify]: iters left: 2 (343 enodes) 46.186 * * [simplify]: Extracting #0: cost 1 inf + 0 46.186 * * [simplify]: Extracting #1: cost 30 inf + 0 46.186 * * [simplify]: Extracting #2: cost 72 inf + 0 46.187 * * [simplify]: Extracting #3: cost 130 inf + 2 46.187 * * [simplify]: Extracting #4: cost 145 inf + 52 46.188 * * [simplify]: Extracting #5: cost 157 inf + 3771 46.191 * * [simplify]: Extracting #6: cost 130 inf + 12717 46.197 * * [simplify]: Extracting #7: cost 62 inf + 55027 46.215 * * [simplify]: Extracting #8: cost 9 inf + 103902 46.235 * * [simplify]: Extracting #9: cost 0 inf + 113084 46.252 * [simplify]: Simplified to (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 46.252 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 46.252 * * * * [progress]: [ 139 / 217 ] simplifiying candidate # 46.252 * [simplify]: Simplifying (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) 46.253 * * [simplify]: iters left: 6 (20 enodes) 46.263 * * [simplify]: iters left: 5 (78 enodes) 46.288 * * [simplify]: iters left: 4 (122 enodes) 46.330 * * [simplify]: iters left: 3 (188 enodes) 46.365 * * [simplify]: iters left: 2 (331 enodes) 46.469 * * [simplify]: Extracting #0: cost 1 inf + 0 46.469 * * [simplify]: Extracting #1: cost 30 inf + 0 46.469 * * [simplify]: Extracting #2: cost 73 inf + 0 46.470 * * [simplify]: Extracting #3: cost 126 inf + 2 46.471 * * [simplify]: Extracting #4: cost 134 inf + 11 46.471 * * [simplify]: Extracting #5: cost 143 inf + 336 46.474 * * [simplify]: Extracting #6: cost 150 inf + 4256 46.477 * * [simplify]: Extracting #7: cost 134 inf + 9986 46.481 * * [simplify]: Extracting #8: cost 97 inf + 22129 46.490 * * [simplify]: Extracting #9: cost 33 inf + 79148 46.510 * * [simplify]: Extracting #10: cost 2 inf + 115819 46.531 * * [simplify]: Extracting #11: cost 0 inf + 117134 46.550 * [simplify]: Simplified to (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (- 1/2 (/ (sqrt k) 2))) (fabs (cbrt k))) 46.550 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (- 1/2 (/ (sqrt k) 2))) (fabs (cbrt k))) (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 46.550 * [simplify]: Simplifying (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 46.550 * * [simplify]: iters left: 6 (18 enodes) 46.559 * * [simplify]: iters left: 5 (71 enodes) 46.581 * * [simplify]: iters left: 4 (115 enodes) 46.617 * * [simplify]: iters left: 3 (181 enodes) 46.671 * * [simplify]: iters left: 2 (324 enodes) 46.761 * * [simplify]: Extracting #0: cost 1 inf + 0 46.762 * * [simplify]: Extracting #1: cost 30 inf + 0 46.762 * * [simplify]: Extracting #2: cost 74 inf + 0 46.763 * * [simplify]: Extracting #3: cost 125 inf + 2 46.763 * * [simplify]: Extracting #4: cost 143 inf + 11 46.765 * * [simplify]: Extracting #5: cost 179 inf + 499 46.767 * * [simplify]: Extracting #6: cost 158 inf + 8425 46.773 * * [simplify]: Extracting #7: cost 79 inf + 40520 46.785 * * [simplify]: Extracting #8: cost 6 inf + 112822 46.804 * * [simplify]: Extracting #9: cost 0 inf + 117099 46.833 * * [simplify]: Extracting #10: cost 0 inf + 116552 46.862 * [simplify]: Simplified to (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 46.862 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 46.862 * * * * [progress]: [ 140 / 217 ] simplifiying candidate # 46.862 * [simplify]: Simplifying (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 46.863 * * [simplify]: iters left: 6 (18 enodes) 46.876 * * [simplify]: iters left: 5 (71 enodes) 46.900 * * [simplify]: iters left: 4 (115 enodes) 46.924 * * [simplify]: iters left: 3 (181 enodes) 46.966 * * [simplify]: iters left: 2 (324 enodes) 47.098 * * [simplify]: Extracting #0: cost 1 inf + 0 47.098 * * [simplify]: Extracting #1: cost 30 inf + 0 47.098 * * [simplify]: Extracting #2: cost 74 inf + 0 47.099 * * [simplify]: Extracting #3: cost 124 inf + 2 47.100 * * [simplify]: Extracting #4: cost 129 inf + 93 47.101 * * [simplify]: Extracting #5: cost 123 inf + 2218 47.104 * * [simplify]: Extracting #6: cost 134 inf + 6265 47.110 * * [simplify]: Extracting #7: cost 128 inf + 13933 47.125 * * [simplify]: Extracting #8: cost 56 inf + 65059 47.154 * * [simplify]: Extracting #9: cost 2 inf + 115768 47.171 * * [simplify]: Extracting #10: cost 0 inf + 116417 47.187 * [simplify]: Simplified to (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 47.187 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 47.187 * [simplify]: Simplifying (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 47.188 * * [simplify]: iters left: 6 (17 enodes) 47.193 * * [simplify]: iters left: 5 (68 enodes) 47.204 * * [simplify]: iters left: 4 (108 enodes) 47.239 * * [simplify]: iters left: 3 (179 enodes) 47.308 * * [simplify]: iters left: 2 (343 enodes) 47.444 * * [simplify]: Extracting #0: cost 1 inf + 0 47.445 * * [simplify]: Extracting #1: cost 30 inf + 0 47.445 * * [simplify]: Extracting #2: cost 72 inf + 0 47.445 * * [simplify]: Extracting #3: cost 130 inf + 2 47.446 * * [simplify]: Extracting #4: cost 145 inf + 52 47.447 * * [simplify]: Extracting #5: cost 157 inf + 3731 47.449 * * [simplify]: Extracting #6: cost 130 inf + 12597 47.456 * * [simplify]: Extracting #7: cost 62 inf + 54427 47.472 * * [simplify]: Extracting #8: cost 9 inf + 102622 47.502 * * [simplify]: Extracting #9: cost 0 inf + 111604 47.532 * [simplify]: Simplified to (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 47.532 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 47.532 * * * * [progress]: [ 141 / 217 ] simplifiying candidate # 47.532 * [simplify]: Simplifying (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt 1)) 47.533 * * [simplify]: iters left: 6 (18 enodes) 47.548 * * [simplify]: iters left: 5 (71 enodes) 47.571 * * [simplify]: iters left: 4 (113 enodes) 47.607 * * [simplify]: iters left: 3 (175 enodes) 47.665 * * [simplify]: iters left: 2 (308 enodes) 47.760 * * [simplify]: Extracting #0: cost 1 inf + 0 47.760 * * [simplify]: Extracting #1: cost 20 inf + 0 47.760 * * [simplify]: Extracting #2: cost 65 inf + 2 47.761 * * [simplify]: Extracting #3: cost 99 inf + 5 47.761 * * [simplify]: Extracting #4: cost 111 inf + 10 47.762 * * [simplify]: Extracting #5: cost 147 inf + 52 47.765 * * [simplify]: Extracting #6: cost 121 inf + 5881 47.772 * * [simplify]: Extracting #7: cost 59 inf + 26750 47.790 * * [simplify]: Extracting #8: cost 7 inf + 70714 47.816 * * [simplify]: Extracting #9: cost 0 inf + 77015 47.836 * [simplify]: Simplified to (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) 47.836 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 47.836 * [simplify]: Simplifying (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 47.836 * * [simplify]: iters left: 6 (16 enodes) 47.841 * * [simplify]: iters left: 5 (65 enodes) 47.852 * * [simplify]: iters left: 4 (105 enodes) 47.877 * * [simplify]: iters left: 3 (176 enodes) 47.923 * * [simplify]: iters left: 2 (340 enodes) 48.009 * * [simplify]: Extracting #0: cost 1 inf + 0 48.009 * * [simplify]: Extracting #1: cost 30 inf + 0 48.010 * * [simplify]: Extracting #2: cost 73 inf + 0 48.010 * * [simplify]: Extracting #3: cost 124 inf + 44 48.011 * * [simplify]: Extracting #4: cost 137 inf + 461 48.014 * * [simplify]: Extracting #5: cost 146 inf + 4473 48.019 * * [simplify]: Extracting #6: cost 122 inf + 15747 48.028 * * [simplify]: Extracting #7: cost 39 inf + 70759 48.041 * * [simplify]: Extracting #8: cost 3 inf + 107128 48.058 * * [simplify]: Extracting #9: cost 0 inf + 109862 48.087 * [simplify]: Simplified to (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt k)) 48.087 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt 1)) (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt k)))) 48.087 * * * * [progress]: [ 142 / 217 ] simplifiying candidate # 48.088 * [simplify]: Simplifying (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 48.088 * * [simplify]: iters left: 6 (18 enodes) 48.098 * * [simplify]: iters left: 5 (71 enodes) 48.121 * * [simplify]: iters left: 4 (115 enodes) 48.148 * * [simplify]: iters left: 3 (181 enodes) 48.182 * * [simplify]: iters left: 2 (324 enodes) 48.265 * * [simplify]: Extracting #0: cost 1 inf + 0 48.265 * * [simplify]: Extracting #1: cost 30 inf + 0 48.266 * * [simplify]: Extracting #2: cost 74 inf + 0 48.266 * * [simplify]: Extracting #3: cost 124 inf + 2 48.267 * * [simplify]: Extracting #4: cost 129 inf + 93 48.269 * * [simplify]: Extracting #5: cost 123 inf + 2218 48.272 * * [simplify]: Extracting #6: cost 134 inf + 6265 48.277 * * [simplify]: Extracting #7: cost 128 inf + 13933 48.292 * * [simplify]: Extracting #8: cost 56 inf + 65059 48.311 * * [simplify]: Extracting #9: cost 2 inf + 115768 48.331 * * [simplify]: Extracting #10: cost 0 inf + 116417 48.360 * [simplify]: Simplified to (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 48.360 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 48.360 * [simplify]: Simplifying (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 48.360 * * [simplify]: iters left: 6 (17 enodes) 48.369 * * [simplify]: iters left: 5 (68 enodes) 48.388 * * [simplify]: iters left: 4 (108 enodes) 48.424 * * [simplify]: iters left: 3 (179 enodes) 48.494 * * [simplify]: iters left: 2 (343 enodes) 49.013 * * [simplify]: Extracting #0: cost 1 inf + 0 49.013 * * [simplify]: Extracting #1: cost 30 inf + 0 49.013 * * [simplify]: Extracting #2: cost 72 inf + 0 49.014 * * [simplify]: Extracting #3: cost 130 inf + 2 49.015 * * [simplify]: Extracting #4: cost 145 inf + 52 49.017 * * [simplify]: Extracting #5: cost 157 inf + 3731 49.022 * * [simplify]: Extracting #6: cost 130 inf + 12597 49.034 * * [simplify]: Extracting #7: cost 62 inf + 54427 49.060 * * [simplify]: Extracting #8: cost 9 inf + 102622 49.089 * * [simplify]: Extracting #9: cost 0 inf + 111604 49.118 * [simplify]: Simplified to (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 49.118 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 49.119 * * * * [progress]: [ 143 / 217 ] simplifiying candidate # 49.119 * [simplify]: Simplifying (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) 1) 49.119 * * [simplify]: iters left: 6 (17 enodes) 49.128 * * [simplify]: iters left: 5 (66 enodes) 49.150 * * [simplify]: iters left: 4 (106 enodes) 49.168 * * [simplify]: iters left: 3 (178 enodes) 49.218 * * [simplify]: iters left: 2 (343 enodes) 49.345 * * [simplify]: Extracting #0: cost 1 inf + 0 49.346 * * [simplify]: Extracting #1: cost 33 inf + 0 49.346 * * [simplify]: Extracting #2: cost 92 inf + 2 49.347 * * [simplify]: Extracting #3: cost 130 inf + 6 49.348 * * [simplify]: Extracting #4: cost 143 inf + 11 49.349 * * [simplify]: Extracting #5: cost 179 inf + 217 49.352 * * [simplify]: Extracting #6: cost 149 inf + 8061 49.365 * * [simplify]: Extracting #7: cost 65 inf + 52286 49.394 * * [simplify]: Extracting #8: cost 13 inf + 94307 49.425 * * [simplify]: Extracting #9: cost 0 inf + 107676 49.448 * * [simplify]: Extracting #10: cost 0 inf + 107335 49.464 * * [simplify]: Extracting #11: cost 0 inf + 107205 49.490 * [simplify]: Simplified to (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) 49.490 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 49.490 * [simplify]: Simplifying (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 49.490 * * [simplify]: iters left: 6 (16 enodes) 49.494 * * [simplify]: iters left: 5 (65 enodes) 49.505 * * [simplify]: iters left: 4 (105 enodes) 49.529 * * [simplify]: iters left: 3 (176 enodes) 49.583 * * [simplify]: iters left: 2 (340 enodes) 49.702 * * [simplify]: Extracting #0: cost 1 inf + 0 49.702 * * [simplify]: Extracting #1: cost 30 inf + 0 49.702 * * [simplify]: Extracting #2: cost 73 inf + 0 49.703 * * [simplify]: Extracting #3: cost 124 inf + 44 49.704 * * [simplify]: Extracting #4: cost 137 inf + 461 49.706 * * [simplify]: Extracting #5: cost 146 inf + 4473 49.711 * * [simplify]: Extracting #6: cost 122 inf + 15747 49.725 * * [simplify]: Extracting #7: cost 39 inf + 70759 49.738 * * [simplify]: Extracting #8: cost 3 inf + 107128 49.757 * * [simplify]: Extracting #9: cost 0 inf + 109862 49.787 * [simplify]: Simplified to (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt k)) 49.787 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) 1) (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt k)))) 49.787 * * * * [progress]: [ 144 / 217 ] simplifiying candidate # 49.788 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 49.788 * * [simplify]: iters left: 6 (18 enodes) 49.798 * * [simplify]: iters left: 5 (73 enodes) 49.823 * * [simplify]: iters left: 4 (124 enodes) 49.861 * * [simplify]: iters left: 3 (205 enodes) 49.912 * * [simplify]: iters left: 2 (394 enodes) 50.072 * * [simplify]: Extracting #0: cost 1 inf + 0 50.073 * * [simplify]: Extracting #1: cost 55 inf + 0 50.073 * * [simplify]: Extracting #2: cost 149 inf + 0 50.074 * * [simplify]: Extracting #3: cost 211 inf + 2 50.075 * * [simplify]: Extracting #4: cost 219 inf + 1721 50.077 * * [simplify]: Extracting #5: cost 224 inf + 6703 50.080 * * [simplify]: Extracting #6: cost 205 inf + 13384 50.094 * * [simplify]: Extracting #7: cost 87 inf + 106414 50.147 * * [simplify]: Extracting #8: cost 3 inf + 195626 50.180 * * [simplify]: Extracting #9: cost 0 inf + 196521 50.219 * * [simplify]: Extracting #10: cost 0 inf + 196259 50.245 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 50.245 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 50.246 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 50.246 * * [simplify]: iters left: 6 (17 enodes) 50.252 * * [simplify]: iters left: 5 (68 enodes) 50.274 * * [simplify]: iters left: 4 (109 enodes) 50.305 * * [simplify]: iters left: 3 (180 enodes) 50.343 * * [simplify]: iters left: 2 (344 enodes) 50.456 * * [simplify]: Extracting #0: cost 1 inf + 0 50.456 * * [simplify]: Extracting #1: cost 30 inf + 0 50.456 * * [simplify]: Extracting #2: cost 72 inf + 0 50.456 * * [simplify]: Extracting #3: cost 130 inf + 2 50.457 * * [simplify]: Extracting #4: cost 148 inf + 257 50.458 * * [simplify]: Extracting #5: cost 160 inf + 4512 50.461 * * [simplify]: Extracting #6: cost 125 inf + 13037 50.468 * * [simplify]: Extracting #7: cost 51 inf + 64347 50.484 * * [simplify]: Extracting #8: cost 2 inf + 108281 50.503 * * [simplify]: Extracting #9: cost 0 inf + 109771 50.532 * * [simplify]: Extracting #10: cost 0 inf + 109641 50.559 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 50.559 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 50.559 * * * * [progress]: [ 145 / 217 ] simplifiying candidate # 50.560 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) 50.560 * * [simplify]: iters left: 6 (19 enodes) 50.566 * * [simplify]: iters left: 5 (75 enodes) 50.578 * * [simplify]: iters left: 4 (120 enodes) 50.606 * * [simplify]: iters left: 3 (186 enodes) 50.670 * * [simplify]: iters left: 2 (329 enodes) 50.761 * * [simplify]: Extracting #0: cost 1 inf + 0 50.761 * * [simplify]: Extracting #1: cost 30 inf + 0 50.761 * * [simplify]: Extracting #2: cost 73 inf + 0 50.762 * * [simplify]: Extracting #3: cost 128 inf + 2 50.762 * * [simplify]: Extracting #4: cost 150 inf + 11 50.763 * * [simplify]: Extracting #5: cost 185 inf + 780 50.764 * * [simplify]: Extracting #6: cost 157 inf + 8787 50.770 * * [simplify]: Extracting #7: cost 62 inf + 53166 50.790 * * [simplify]: Extracting #8: cost 2 inf + 107857 50.817 * * [simplify]: Extracting #9: cost 0 inf + 109674 50.838 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (fabs (cbrt k))) 50.838 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (fabs (cbrt k))) (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 50.838 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 50.838 * * [simplify]: iters left: 6 (18 enodes) 50.843 * * [simplify]: iters left: 5 (71 enodes) 50.855 * * [simplify]: iters left: 4 (116 enodes) 50.886 * * [simplify]: iters left: 3 (182 enodes) 50.934 * * [simplify]: iters left: 2 (325 enodes) 51.012 * * [simplify]: Extracting #0: cost 1 inf + 0 51.013 * * [simplify]: Extracting #1: cost 30 inf + 0 51.013 * * [simplify]: Extracting #2: cost 74 inf + 0 51.013 * * [simplify]: Extracting #3: cost 126 inf + 2 51.014 * * [simplify]: Extracting #4: cost 148 inf + 11 51.014 * * [simplify]: Extracting #5: cost 189 inf + 336 51.018 * * [simplify]: Extracting #6: cost 157 inf + 12911 51.023 * * [simplify]: Extracting #7: cost 77 inf + 38775 51.033 * * [simplify]: Extracting #8: cost 24 inf + 86988 51.052 * * [simplify]: Extracting #9: cost 2 inf + 111064 51.075 * * [simplify]: Extracting #10: cost 0 inf + 112695 51.088 * * [simplify]: Extracting #11: cost 0 inf + 112433 51.103 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 51.103 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 51.103 * * * * [progress]: [ 146 / 217 ] simplifiying candidate # 51.104 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 51.104 * * [simplify]: iters left: 6 (17 enodes) 51.113 * * [simplify]: iters left: 5 (68 enodes) 51.138 * * [simplify]: iters left: 4 (109 enodes) 51.170 * * [simplify]: iters left: 3 (180 enodes) 51.210 * * [simplify]: iters left: 2 (344 enodes) 51.309 * * [simplify]: Extracting #0: cost 1 inf + 0 51.309 * * [simplify]: Extracting #1: cost 30 inf + 0 51.309 * * [simplify]: Extracting #2: cost 72 inf + 0 51.310 * * [simplify]: Extracting #3: cost 130 inf + 2 51.311 * * [simplify]: Extracting #4: cost 148 inf + 257 51.313 * * [simplify]: Extracting #5: cost 160 inf + 4472 51.319 * * [simplify]: Extracting #6: cost 125 inf + 12917 51.333 * * [simplify]: Extracting #7: cost 51 inf + 63507 51.349 * * [simplify]: Extracting #8: cost 2 inf + 106881 51.365 * * [simplify]: Extracting #9: cost 0 inf + 108291 51.393 * * [simplify]: Extracting #10: cost 0 inf + 108161 51.408 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 51.409 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 51.409 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 51.409 * * [simplify]: iters left: 6 (17 enodes) 51.414 * * [simplify]: iters left: 5 (68 enodes) 51.425 * * [simplify]: iters left: 4 (109 enodes) 51.464 * * [simplify]: iters left: 3 (180 enodes) 51.529 * * [simplify]: iters left: 2 (344 enodes) 51.630 * * [simplify]: Extracting #0: cost 1 inf + 0 51.630 * * [simplify]: Extracting #1: cost 30 inf + 0 51.630 * * [simplify]: Extracting #2: cost 72 inf + 0 51.630 * * [simplify]: Extracting #3: cost 130 inf + 2 51.631 * * [simplify]: Extracting #4: cost 148 inf + 257 51.632 * * [simplify]: Extracting #5: cost 160 inf + 4472 51.637 * * [simplify]: Extracting #6: cost 125 inf + 12917 51.651 * * [simplify]: Extracting #7: cost 51 inf + 63507 51.677 * * [simplify]: Extracting #8: cost 2 inf + 106881 51.691 * * [simplify]: Extracting #9: cost 0 inf + 108291 51.713 * * [simplify]: Extracting #10: cost 0 inf + 108161 51.741 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 51.742 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 51.742 * * * * [progress]: [ 147 / 217 ] simplifiying candidate # 51.742 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt 1)) 51.742 * * [simplify]: iters left: 6 (17 enodes) 51.753 * * [simplify]: iters left: 5 (68 enodes) 51.776 * * [simplify]: iters left: 4 (107 enodes) 51.811 * * [simplify]: iters left: 3 (171 enodes) 51.875 * * [simplify]: iters left: 2 (320 enodes) 51.967 * * [simplify]: Extracting #0: cost 1 inf + 0 51.967 * * [simplify]: Extracting #1: cost 20 inf + 0 51.967 * * [simplify]: Extracting #2: cost 70 inf + 2 51.968 * * [simplify]: Extracting #3: cost 119 inf + 5 51.968 * * [simplify]: Extracting #4: cost 163 inf + 10 51.969 * * [simplify]: Extracting #5: cost 170 inf + 343 51.971 * * [simplify]: Extracting #6: cost 90 inf + 18566 51.979 * * [simplify]: Extracting #7: cost 12 inf + 65055 51.990 * * [simplify]: Extracting #8: cost 0 inf + 75292 52.012 * * [simplify]: Extracting #9: cost 0 inf + 74764 52.030 * [simplify]: Simplified to (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 52.030 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 52.031 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 52.031 * * [simplify]: iters left: 6 (16 enodes) 52.035 * * [simplify]: iters left: 5 (65 enodes) 52.046 * * [simplify]: iters left: 4 (106 enodes) 52.067 * * [simplify]: iters left: 3 (178 enodes) 52.099 * * [simplify]: iters left: 2 (339 enodes) 52.168 * * [simplify]: Extracting #0: cost 1 inf + 0 52.169 * * [simplify]: Extracting #1: cost 30 inf + 0 52.169 * * [simplify]: Extracting #2: cost 73 inf + 0 52.169 * * [simplify]: Extracting #3: cost 124 inf + 44 52.171 * * [simplify]: Extracting #4: cost 134 inf + 1524 52.174 * * [simplify]: Extracting #5: cost 148 inf + 5697 52.180 * * [simplify]: Extracting #6: cost 117 inf + 14979 52.196 * * [simplify]: Extracting #7: cost 42 inf + 66501 52.222 * * [simplify]: Extracting #8: cost 5 inf + 100876 52.250 * * [simplify]: Extracting #9: cost 0 inf + 106398 52.273 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt k)) 52.273 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt 1)) (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt k)))) 52.273 * * * * [progress]: [ 148 / 217 ] simplifiying candidate # 52.274 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 52.274 * * [simplify]: iters left: 6 (17 enodes) 52.279 * * [simplify]: iters left: 5 (68 enodes) 52.290 * * [simplify]: iters left: 4 (109 enodes) 52.312 * * [simplify]: iters left: 3 (180 enodes) 52.357 * * [simplify]: iters left: 2 (344 enodes) 52.475 * * [simplify]: Extracting #0: cost 1 inf + 0 52.475 * * [simplify]: Extracting #1: cost 30 inf + 0 52.475 * * [simplify]: Extracting #2: cost 72 inf + 0 52.475 * * [simplify]: Extracting #3: cost 130 inf + 2 52.476 * * [simplify]: Extracting #4: cost 148 inf + 257 52.477 * * [simplify]: Extracting #5: cost 160 inf + 4472 52.480 * * [simplify]: Extracting #6: cost 125 inf + 12917 52.487 * * [simplify]: Extracting #7: cost 51 inf + 63507 52.500 * * [simplify]: Extracting #8: cost 2 inf + 106881 52.514 * * [simplify]: Extracting #9: cost 0 inf + 108291 52.529 * * [simplify]: Extracting #10: cost 0 inf + 108161 52.543 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 52.543 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 52.543 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 52.543 * * [simplify]: iters left: 6 (17 enodes) 52.548 * * [simplify]: iters left: 5 (68 enodes) 52.567 * * [simplify]: iters left: 4 (109 enodes) 52.595 * * [simplify]: iters left: 3 (180 enodes) 52.637 * * [simplify]: iters left: 2 (344 enodes) 52.750 * * [simplify]: Extracting #0: cost 1 inf + 0 52.750 * * [simplify]: Extracting #1: cost 30 inf + 0 52.750 * * [simplify]: Extracting #2: cost 72 inf + 0 52.751 * * [simplify]: Extracting #3: cost 130 inf + 2 52.751 * * [simplify]: Extracting #4: cost 148 inf + 257 52.753 * * [simplify]: Extracting #5: cost 160 inf + 4472 52.758 * * [simplify]: Extracting #6: cost 125 inf + 12917 52.772 * * [simplify]: Extracting #7: cost 51 inf + 63507 52.802 * * [simplify]: Extracting #8: cost 2 inf + 106881 52.830 * * [simplify]: Extracting #9: cost 0 inf + 108291 52.858 * * [simplify]: Extracting #10: cost 0 inf + 108161 52.872 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 52.872 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 52.872 * * * * [progress]: [ 149 / 217 ] simplifiying candidate # 52.872 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 1) 52.872 * * [simplify]: iters left: 6 (16 enodes) 52.877 * * [simplify]: iters left: 5 (63 enodes) 52.888 * * [simplify]: iters left: 4 (104 enodes) 52.923 * * [simplify]: iters left: 3 (175 enodes) 52.972 * * [simplify]: iters left: 2 (340 enodes) 53.074 * * [simplify]: Extracting #0: cost 1 inf + 0 53.074 * * [simplify]: Extracting #1: cost 32 inf + 0 53.075 * * [simplify]: Extracting #2: cost 92 inf + 2 53.075 * * [simplify]: Extracting #3: cost 146 inf + 6 53.076 * * [simplify]: Extracting #4: cost 188 inf + 11 53.077 * * [simplify]: Extracting #5: cost 166 inf + 5474 53.081 * * [simplify]: Extracting #6: cost 81 inf + 34815 53.092 * * [simplify]: Extracting #7: cost 16 inf + 85460 53.105 * * [simplify]: Extracting #8: cost 0 inf + 101558 53.122 * * [simplify]: Extracting #9: cost 0 inf + 100915 53.135 * * [simplify]: Extracting #10: cost 0 inf + 100784 53.148 * [simplify]: Simplified to (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 53.148 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 53.148 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 53.148 * * [simplify]: iters left: 6 (16 enodes) 53.152 * * [simplify]: iters left: 5 (65 enodes) 53.164 * * [simplify]: iters left: 4 (106 enodes) 53.196 * * [simplify]: iters left: 3 (178 enodes) 53.264 * * [simplify]: iters left: 2 (339 enodes) 53.385 * * [simplify]: Extracting #0: cost 1 inf + 0 53.385 * * [simplify]: Extracting #1: cost 30 inf + 0 53.385 * * [simplify]: Extracting #2: cost 73 inf + 0 53.386 * * [simplify]: Extracting #3: cost 124 inf + 44 53.386 * * [simplify]: Extracting #4: cost 134 inf + 1524 53.388 * * [simplify]: Extracting #5: cost 148 inf + 5697 53.391 * * [simplify]: Extracting #6: cost 117 inf + 14979 53.401 * * [simplify]: Extracting #7: cost 42 inf + 66501 53.418 * * [simplify]: Extracting #8: cost 5 inf + 100876 53.432 * * [simplify]: Extracting #9: cost 0 inf + 106398 53.456 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt k)) 53.456 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 1) (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt k)))) 53.456 * * * * [progress]: [ 150 / 217 ] simplifiying candidate # 53.457 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 53.457 * * [simplify]: iters left: 6 (10 enodes) 53.463 * * [simplify]: iters left: 5 (38 enodes) 53.475 * * [simplify]: iters left: 4 (51 enodes) 53.494 * * [simplify]: iters left: 3 (53 enodes) 53.503 * * [simplify]: Extracting #0: cost 1 inf + 0 53.503 * * [simplify]: Extracting #1: cost 7 inf + 0 53.503 * * [simplify]: Extracting #2: cost 11 inf + 1 53.503 * * [simplify]: Extracting #3: cost 13 inf + 1 53.504 * * [simplify]: Extracting #4: cost 12 inf + 2 53.504 * * [simplify]: Extracting #5: cost 8 inf + 367 53.504 * * [simplify]: Extracting #6: cost 2 inf + 1336 53.504 * * [simplify]: Extracting #7: cost 0 inf + 1700 53.504 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 53.504 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 53.505 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 53.505 * * [simplify]: iters left: 6 (16 enodes) 53.509 * * [simplify]: iters left: 5 (65 enodes) 53.520 * * [simplify]: iters left: 4 (105 enodes) 53.549 * * [simplify]: iters left: 3 (176 enodes) 53.616 * * [simplify]: iters left: 2 (340 enodes) 53.726 * * [simplify]: Extracting #0: cost 1 inf + 0 53.726 * * [simplify]: Extracting #1: cost 30 inf + 0 53.726 * * [simplify]: Extracting #2: cost 73 inf + 0 53.727 * * [simplify]: Extracting #3: cost 138 inf + 2 53.728 * * [simplify]: Extracting #4: cost 179 inf + 134 53.731 * * [simplify]: Extracting #5: cost 165 inf + 4650 53.737 * * [simplify]: Extracting #6: cost 97 inf + 21248 53.747 * * [simplify]: Extracting #7: cost 31 inf + 71511 53.760 * * [simplify]: Extracting #8: cost 3 inf + 102081 53.774 * * [simplify]: Extracting #9: cost 0 inf + 105356 53.793 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (cbrt (sqrt k))) 53.793 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (cbrt (sqrt k))))) 53.793 * * * * [progress]: [ 151 / 217 ] simplifiying candidate # 53.793 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) 53.794 * * [simplify]: iters left: 6 (11 enodes) 53.797 * * [simplify]: iters left: 5 (40 enodes) 53.803 * * [simplify]: iters left: 4 (49 enodes) 53.810 * * [simplify]: Extracting #0: cost 1 inf + 0 53.810 * * [simplify]: Extracting #1: cost 4 inf + 0 53.810 * * [simplify]: Extracting #2: cost 6 inf + 1 53.810 * * [simplify]: Extracting #3: cost 9 inf + 1 53.810 * * [simplify]: Extracting #4: cost 2 inf + 689 53.810 * * [simplify]: Extracting #5: cost 0 inf + 972 53.811 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 53.811 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 53.811 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 53.811 * * [simplify]: iters left: 6 (17 enodes) 53.818 * * [simplify]: iters left: 5 (68 enodes) 53.836 * * [simplify]: iters left: 4 (108 enodes) 53.855 * * [simplify]: iters left: 3 (179 enodes) 53.896 * * [simplify]: iters left: 2 (343 enodes) 53.989 * * [simplify]: Extracting #0: cost 1 inf + 0 53.990 * * [simplify]: Extracting #1: cost 30 inf + 0 53.990 * * [simplify]: Extracting #2: cost 72 inf + 0 53.991 * * [simplify]: Extracting #3: cost 139 inf + 2 53.992 * * [simplify]: Extracting #4: cost 184 inf + 11 53.994 * * [simplify]: Extracting #5: cost 180 inf + 4850 54.001 * * [simplify]: Extracting #6: cost 104 inf + 25669 54.024 * * [simplify]: Extracting #7: cost 20 inf + 87155 54.044 * * [simplify]: Extracting #8: cost 0 inf + 106997 54.057 * * [simplify]: Extracting #9: cost 0 inf + 106744 54.073 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 54.073 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 54.074 * * * * [progress]: [ 152 / 217 ] simplifiying candidate # 54.074 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 54.074 * * [simplify]: iters left: 6 (9 enodes) 54.080 * * [simplify]: iters left: 5 (33 enodes) 54.090 * * [simplify]: iters left: 4 (42 enodes) 54.102 * * [simplify]: Extracting #0: cost 1 inf + 0 54.102 * * [simplify]: Extracting #1: cost 4 inf + 0 54.102 * * [simplify]: Extracting #2: cost 5 inf + 1 54.102 * * [simplify]: Extracting #3: cost 7 inf + 1 54.103 * * [simplify]: Extracting #4: cost 0 inf + 490 54.103 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 54.103 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 54.103 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 54.103 * * [simplify]: iters left: 6 (16 enodes) 54.112 * * [simplify]: iters left: 5 (65 enodes) 54.133 * * [simplify]: iters left: 4 (105 enodes) 54.160 * * [simplify]: iters left: 3 (176 enodes) 54.193 * * [simplify]: iters left: 2 (340 enodes) 54.280 * * [simplify]: Extracting #0: cost 1 inf + 0 54.281 * * [simplify]: Extracting #1: cost 30 inf + 0 54.281 * * [simplify]: Extracting #2: cost 73 inf + 0 54.282 * * [simplify]: Extracting #3: cost 138 inf + 2 54.283 * * [simplify]: Extracting #4: cost 179 inf + 134 54.285 * * [simplify]: Extracting #5: cost 165 inf + 4610 54.292 * * [simplify]: Extracting #6: cost 97 inf + 21088 54.309 * * [simplify]: Extracting #7: cost 31 inf + 70831 54.325 * * [simplify]: Extracting #8: cost 3 inf + 100721 54.342 * * [simplify]: Extracting #9: cost 0 inf + 103876 54.356 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt (sqrt k))) 54.356 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt (sqrt k))))) 54.356 * * * * [progress]: [ 153 / 217 ] simplifiying candidate # 54.356 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 (sqrt k)) 2)) (sqrt 1)) 54.356 * * [simplify]: iters left: 6 (9 enodes) 54.362 * * [simplify]: iters left: 5 (33 enodes) 54.367 * * [simplify]: iters left: 4 (42 enodes) 54.373 * * [simplify]: Extracting #0: cost 1 inf + 0 54.373 * * [simplify]: Extracting #1: cost 0 inf + 1 54.373 * [simplify]: Simplified to 1 54.373 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 54.373 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 54.373 * * [simplify]: iters left: 6 (15 enodes) 54.377 * * [simplify]: iters left: 5 (62 enodes) 54.388 * * [simplify]: iters left: 4 (102 enodes) 54.410 * * [simplify]: iters left: 3 (174 enodes) 54.478 * * [simplify]: iters left: 2 (338 enodes) 54.602 * * [simplify]: Extracting #0: cost 1 inf + 0 54.602 * * [simplify]: Extracting #1: cost 30 inf + 0 54.602 * * [simplify]: Extracting #2: cost 73 inf + 0 54.603 * * [simplify]: Extracting #3: cost 132 inf + 44 54.604 * * [simplify]: Extracting #4: cost 171 inf + 830 54.606 * * [simplify]: Extracting #5: cost 145 inf + 9272 54.612 * * [simplify]: Extracting #6: cost 73 inf + 41245 54.633 * * [simplify]: Extracting #7: cost 8 inf + 96035 54.658 * * [simplify]: Extracting #8: cost 0 inf + 102472 54.685 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)) 54.685 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)))) 54.686 * * * * [progress]: [ 154 / 217 ] simplifiying candidate # 54.686 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 54.686 * * [simplify]: iters left: 6 (9 enodes) 54.692 * * [simplify]: iters left: 5 (33 enodes) 54.702 * * [simplify]: iters left: 4 (42 enodes) 54.719 * * [simplify]: Extracting #0: cost 1 inf + 0 54.719 * * [simplify]: Extracting #1: cost 4 inf + 0 54.719 * * [simplify]: Extracting #2: cost 5 inf + 1 54.719 * * [simplify]: Extracting #3: cost 7 inf + 1 54.719 * * [simplify]: Extracting #4: cost 0 inf + 490 54.719 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 54.720 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 54.720 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 54.720 * * [simplify]: iters left: 6 (16 enodes) 54.729 * * [simplify]: iters left: 5 (65 enodes) 54.750 * * [simplify]: iters left: 4 (105 enodes) 54.770 * * [simplify]: iters left: 3 (176 enodes) 54.821 * * [simplify]: iters left: 2 (340 enodes) 54.930 * * [simplify]: Extracting #0: cost 1 inf + 0 54.930 * * [simplify]: Extracting #1: cost 30 inf + 0 54.931 * * [simplify]: Extracting #2: cost 73 inf + 0 54.931 * * [simplify]: Extracting #3: cost 138 inf + 2 54.933 * * [simplify]: Extracting #4: cost 179 inf + 134 54.935 * * [simplify]: Extracting #5: cost 165 inf + 4610 54.945 * * [simplify]: Extracting #6: cost 97 inf + 21088 54.954 * * [simplify]: Extracting #7: cost 31 inf + 70831 54.967 * * [simplify]: Extracting #8: cost 3 inf + 100721 54.984 * * [simplify]: Extracting #9: cost 0 inf + 103876 55.011 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt (sqrt k))) 55.011 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt (sqrt k))))) 55.011 * * * * [progress]: [ 155 / 217 ] simplifiying candidate # 55.011 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 (sqrt k)) 2)) 1) 55.012 * * [simplify]: iters left: 6 (8 enodes) 55.017 * * [simplify]: iters left: 5 (28 enodes) 55.026 * * [simplify]: iters left: 4 (37 enodes) 55.036 * * [simplify]: Extracting #0: cost 1 inf + 0 55.036 * * [simplify]: Extracting #1: cost 0 inf + 1 55.036 * [simplify]: Simplified to 1 55.036 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 55.037 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 55.037 * * [simplify]: iters left: 6 (15 enodes) 55.046 * * [simplify]: iters left: 5 (62 enodes) 55.066 * * [simplify]: iters left: 4 (102 enodes) 55.099 * * [simplify]: iters left: 3 (174 enodes) 55.136 * * [simplify]: iters left: 2 (338 enodes) 55.246 * * [simplify]: Extracting #0: cost 1 inf + 0 55.246 * * [simplify]: Extracting #1: cost 30 inf + 0 55.246 * * [simplify]: Extracting #2: cost 73 inf + 0 55.246 * * [simplify]: Extracting #3: cost 132 inf + 44 55.247 * * [simplify]: Extracting #4: cost 171 inf + 830 55.249 * * [simplify]: Extracting #5: cost 145 inf + 9272 55.255 * * [simplify]: Extracting #6: cost 73 inf + 41245 55.266 * * [simplify]: Extracting #7: cost 8 inf + 96035 55.290 * * [simplify]: Extracting #8: cost 0 inf + 102472 55.303 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)) 55.303 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)))) 55.304 * * * * [progress]: [ 156 / 217 ] simplifiying candidate # 55.304 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 55.304 * * [simplify]: iters left: 6 (18 enodes) 55.310 * * [simplify]: iters left: 5 (75 enodes) 55.326 * * [simplify]: iters left: 4 (122 enodes) 55.366 * * [simplify]: iters left: 3 (210 enodes) 55.429 * * [simplify]: iters left: 2 (428 enodes) 55.578 * * [simplify]: Extracting #0: cost 1 inf + 0 55.578 * * [simplify]: Extracting #1: cost 56 inf + 0 55.579 * * [simplify]: Extracting #2: cost 150 inf + 0 55.580 * * [simplify]: Extracting #3: cost 226 inf + 2 55.583 * * [simplify]: Extracting #4: cost 253 inf + 2054 55.588 * * [simplify]: Extracting #5: cost 232 inf + 7978 55.597 * * [simplify]: Extracting #6: cost 178 inf + 25596 55.617 * * [simplify]: Extracting #7: cost 100 inf + 92846 55.663 * * [simplify]: Extracting #8: cost 11 inf + 188581 55.695 * * [simplify]: Extracting #9: cost 0 inf + 200375 55.735 * * [simplify]: Extracting #10: cost 0 inf + 200164 55.763 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 55.763 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 55.763 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 55.763 * * [simplify]: iters left: 6 (17 enodes) 55.769 * * [simplify]: iters left: 5 (70 enodes) 55.786 * * [simplify]: iters left: 4 (111 enodes) 55.812 * * [simplify]: iters left: 3 (186 enodes) 55.854 * * [simplify]: iters left: 2 (356 enodes) 55.969 * * [simplify]: Extracting #0: cost 1 inf + 0 55.970 * * [simplify]: Extracting #1: cost 30 inf + 0 55.970 * * [simplify]: Extracting #2: cost 75 inf + 0 55.971 * * [simplify]: Extracting #3: cost 137 inf + 2 55.972 * * [simplify]: Extracting #4: cost 184 inf + 11 55.974 * * [simplify]: Extracting #5: cost 188 inf + 2262 55.978 * * [simplify]: Extracting #6: cost 133 inf + 10727 55.988 * * [simplify]: Extracting #7: cost 79 inf + 36874 56.009 * * [simplify]: Extracting #8: cost 23 inf + 87388 56.037 * * [simplify]: Extracting #9: cost 0 inf + 112562 56.064 * * [simplify]: Extracting #10: cost 0 inf + 111747 56.079 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (cbrt (sqrt k))) 56.079 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (cbrt (sqrt k))))) 56.079 * * * * [progress]: [ 157 / 217 ] simplifiying candidate # 56.079 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) 56.079 * * [simplify]: iters left: 6 (19 enodes) 56.085 * * [simplify]: iters left: 5 (77 enodes) 56.103 * * [simplify]: iters left: 4 (118 enodes) 56.132 * * [simplify]: iters left: 3 (188 enodes) 56.168 * * [simplify]: iters left: 2 (355 enodes) 56.261 * * [simplify]: Extracting #0: cost 1 inf + 0 56.261 * * [simplify]: Extracting #1: cost 30 inf + 0 56.261 * * [simplify]: Extracting #2: cost 73 inf + 0 56.262 * * [simplify]: Extracting #3: cost 136 inf + 2 56.263 * * [simplify]: Extracting #4: cost 179 inf + 11 56.264 * * [simplify]: Extracting #5: cost 189 inf + 1369 56.269 * * [simplify]: Extracting #6: cost 132 inf + 11254 56.285 * * [simplify]: Extracting #7: cost 39 inf + 71230 56.317 * * [simplify]: Extracting #8: cost 2 inf + 107011 56.345 * * [simplify]: Extracting #9: cost 0 inf + 108341 56.373 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2)) (fabs (cbrt k))) 56.373 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2)) (fabs (cbrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 56.374 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 56.374 * * [simplify]: iters left: 6 (18 enodes) 56.385 * * [simplify]: iters left: 5 (73 enodes) 56.398 * * [simplify]: iters left: 4 (114 enodes) 56.417 * * [simplify]: iters left: 3 (184 enodes) 56.461 * * [simplify]: iters left: 2 (351 enodes) 56.600 * * [simplify]: Extracting #0: cost 1 inf + 0 56.600 * * [simplify]: Extracting #1: cost 30 inf + 0 56.601 * * [simplify]: Extracting #2: cost 74 inf + 0 56.601 * * [simplify]: Extracting #3: cost 134 inf + 2 56.602 * * [simplify]: Extracting #4: cost 178 inf + 11 56.604 * * [simplify]: Extracting #5: cost 179 inf + 2634 56.609 * * [simplify]: Extracting #6: cost 127 inf + 9755 56.618 * * [simplify]: Extracting #7: cost 78 inf + 32671 56.627 * * [simplify]: Extracting #8: cost 30 inf + 76755 56.640 * * [simplify]: Extracting #9: cost 2 inf + 107924 56.661 * * [simplify]: Extracting #10: cost 0 inf + 109287 56.694 * * [simplify]: Extracting #11: cost 0 inf + 109207 56.710 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (cbrt k))) 56.710 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (cbrt k))))) 56.710 * * * * [progress]: [ 158 / 217 ] simplifiying candidate # 56.710 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 56.710 * * [simplify]: iters left: 6 (17 enodes) 56.716 * * [simplify]: iters left: 5 (70 enodes) 56.728 * * [simplify]: iters left: 4 (111 enodes) 56.761 * * [simplify]: iters left: 3 (186 enodes) 56.798 * * [simplify]: iters left: 2 (356 enodes) 56.879 * * [simplify]: Extracting #0: cost 1 inf + 0 56.879 * * [simplify]: Extracting #1: cost 30 inf + 0 56.879 * * [simplify]: Extracting #2: cost 75 inf + 0 56.879 * * [simplify]: Extracting #3: cost 137 inf + 2 56.880 * * [simplify]: Extracting #4: cost 184 inf + 11 56.881 * * [simplify]: Extracting #5: cost 188 inf + 2222 56.883 * * [simplify]: Extracting #6: cost 133 inf + 10647 56.888 * * [simplify]: Extracting #7: cost 79 inf + 36754 56.904 * * [simplify]: Extracting #8: cost 23 inf + 86668 56.920 * * [simplify]: Extracting #9: cost 0 inf + 111082 56.935 * * [simplify]: Extracting #10: cost 0 inf + 110267 56.952 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (sqrt k))) 56.952 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 56.952 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 56.952 * * [simplify]: iters left: 6 (17 enodes) 56.957 * * [simplify]: iters left: 5 (70 enodes) 56.976 * * [simplify]: iters left: 4 (111 enodes) 57.001 * * [simplify]: iters left: 3 (186 enodes) 57.035 * * [simplify]: iters left: 2 (356 enodes) 57.127 * * [simplify]: Extracting #0: cost 1 inf + 0 57.128 * * [simplify]: Extracting #1: cost 30 inf + 0 57.128 * * [simplify]: Extracting #2: cost 75 inf + 0 57.128 * * [simplify]: Extracting #3: cost 137 inf + 2 57.129 * * [simplify]: Extracting #4: cost 184 inf + 11 57.130 * * [simplify]: Extracting #5: cost 188 inf + 2222 57.132 * * [simplify]: Extracting #6: cost 133 inf + 10647 57.137 * * [simplify]: Extracting #7: cost 79 inf + 36754 57.149 * * [simplify]: Extracting #8: cost 23 inf + 86668 57.180 * * [simplify]: Extracting #9: cost 0 inf + 111082 57.209 * * [simplify]: Extracting #10: cost 0 inf + 110267 57.238 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (sqrt k))) 57.238 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (sqrt k))))) 57.238 * * * * [progress]: [ 159 / 217 ] simplifiying candidate # 57.239 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt 1)) 57.239 * * [simplify]: iters left: 6 (17 enodes) 57.249 * * [simplify]: iters left: 5 (70 enodes) 57.275 * * [simplify]: iters left: 4 (109 enodes) 57.310 * * [simplify]: iters left: 3 (180 enodes) 57.348 * * [simplify]: iters left: 2 (343 enodes) 57.461 * * [simplify]: Extracting #0: cost 1 inf + 0 57.461 * * [simplify]: Extracting #1: cost 21 inf + 0 57.461 * * [simplify]: Extracting #2: cost 81 inf + 2 57.462 * * [simplify]: Extracting #3: cost 150 inf + 6 57.463 * * [simplify]: Extracting #4: cost 173 inf + 220 57.465 * * [simplify]: Extracting #5: cost 158 inf + 1661 57.469 * * [simplify]: Extracting #6: cost 106 inf + 8334 57.477 * * [simplify]: Extracting #7: cost 56 inf + 28562 57.496 * * [simplify]: Extracting #8: cost 7 inf + 68719 57.522 * * [simplify]: Extracting #9: cost 0 inf + 76815 57.544 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) 57.544 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 57.544 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 57.544 * * [simplify]: iters left: 6 (16 enodes) 57.554 * * [simplify]: iters left: 5 (67 enodes) 57.576 * * [simplify]: iters left: 4 (112 enodes) 57.611 * * [simplify]: iters left: 3 (187 enodes) 57.676 * * [simplify]: iters left: 2 (340 enodes) 57.765 * * [simplify]: Extracting #0: cost 1 inf + 0 57.765 * * [simplify]: Extracting #1: cost 30 inf + 0 57.765 * * [simplify]: Extracting #2: cost 74 inf + 0 57.766 * * [simplify]: Extracting #3: cost 129 inf + 85 57.767 * * [simplify]: Extracting #4: cost 169 inf + 910 57.770 * * [simplify]: Extracting #5: cost 165 inf + 4145 57.776 * * [simplify]: Extracting #6: cost 113 inf + 17141 57.792 * * [simplify]: Extracting #7: cost 35 inf + 76960 57.821 * * [simplify]: Extracting #8: cost 1 inf + 116313 57.835 * * [simplify]: Extracting #9: cost 0 inf + 111664 57.850 * * [simplify]: Extracting #10: cost 0 inf + 110548 57.872 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (- 1/2 (/ (sqrt k) 2))) (sqrt k)) 57.872 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt 1)) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (- 1/2 (/ (sqrt k) 2))) (sqrt k)))) 57.872 * * * * [progress]: [ 160 / 217 ] simplifiying candidate # 57.873 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 57.873 * * [simplify]: iters left: 6 (17 enodes) 57.886 * * [simplify]: iters left: 5 (70 enodes) 57.908 * * [simplify]: iters left: 4 (111 enodes) 57.945 * * [simplify]: iters left: 3 (186 enodes) 58.012 * * [simplify]: iters left: 2 (356 enodes) 58.103 * * [simplify]: Extracting #0: cost 1 inf + 0 58.103 * * [simplify]: Extracting #1: cost 30 inf + 0 58.103 * * [simplify]: Extracting #2: cost 75 inf + 0 58.103 * * [simplify]: Extracting #3: cost 137 inf + 2 58.104 * * [simplify]: Extracting #4: cost 184 inf + 11 58.108 * * [simplify]: Extracting #5: cost 188 inf + 2222 58.111 * * [simplify]: Extracting #6: cost 133 inf + 10647 58.116 * * [simplify]: Extracting #7: cost 79 inf + 36754 58.126 * * [simplify]: Extracting #8: cost 23 inf + 86668 58.151 * * [simplify]: Extracting #9: cost 0 inf + 111082 58.180 * * [simplify]: Extracting #10: cost 0 inf + 110267 58.209 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (sqrt k))) 58.209 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 58.209 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 58.209 * * [simplify]: iters left: 6 (17 enodes) 58.220 * * [simplify]: iters left: 5 (70 enodes) 58.242 * * [simplify]: iters left: 4 (111 enodes) 58.263 * * [simplify]: iters left: 3 (186 enodes) 58.317 * * [simplify]: iters left: 2 (356 enodes) 58.419 * * [simplify]: Extracting #0: cost 1 inf + 0 58.419 * * [simplify]: Extracting #1: cost 30 inf + 0 58.419 * * [simplify]: Extracting #2: cost 75 inf + 0 58.420 * * [simplify]: Extracting #3: cost 137 inf + 2 58.420 * * [simplify]: Extracting #4: cost 184 inf + 11 58.421 * * [simplify]: Extracting #5: cost 188 inf + 2222 58.423 * * [simplify]: Extracting #6: cost 133 inf + 10647 58.429 * * [simplify]: Extracting #7: cost 79 inf + 36754 58.439 * * [simplify]: Extracting #8: cost 23 inf + 86668 58.456 * * [simplify]: Extracting #9: cost 0 inf + 111082 58.476 * * [simplify]: Extracting #10: cost 0 inf + 110267 58.505 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (sqrt k))) 58.506 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (sqrt k))))) 58.506 * * * * [progress]: [ 161 / 217 ] simplifiying candidate # 58.506 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) 1) 58.506 * * [simplify]: iters left: 6 (16 enodes) 58.515 * * [simplify]: iters left: 5 (65 enodes) 58.537 * * [simplify]: iters left: 4 (110 enodes) 58.573 * * [simplify]: iters left: 3 (185 enodes) 58.641 * * [simplify]: iters left: 2 (346 enodes) 58.743 * * [simplify]: Extracting #0: cost 1 inf + 0 58.744 * * [simplify]: Extracting #1: cost 33 inf + 0 58.744 * * [simplify]: Extracting #2: cost 98 inf + 2 58.744 * * [simplify]: Extracting #3: cost 172 inf + 5 58.745 * * [simplify]: Extracting #4: cost 194 inf + 137 58.746 * * [simplify]: Extracting #5: cost 177 inf + 1905 58.748 * * [simplify]: Extracting #6: cost 130 inf + 8180 58.752 * * [simplify]: Extracting #7: cost 82 inf + 27997 58.762 * * [simplify]: Extracting #8: cost 20 inf + 82884 58.776 * * [simplify]: Extracting #9: cost 0 inf + 105065 58.790 * * [simplify]: Extracting #10: cost 0 inf + 104458 58.807 * * [simplify]: Extracting #11: cost 0 inf + 104417 58.821 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2)) 58.821 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2)) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 58.821 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 58.821 * * [simplify]: iters left: 6 (16 enodes) 58.826 * * [simplify]: iters left: 5 (67 enodes) 58.838 * * [simplify]: iters left: 4 (112 enodes) 58.862 * * [simplify]: iters left: 3 (187 enodes) 58.922 * * [simplify]: iters left: 2 (340 enodes) 58.995 * * [simplify]: Extracting #0: cost 1 inf + 0 58.995 * * [simplify]: Extracting #1: cost 30 inf + 0 58.995 * * [simplify]: Extracting #2: cost 74 inf + 0 58.995 * * [simplify]: Extracting #3: cost 129 inf + 85 58.996 * * [simplify]: Extracting #4: cost 169 inf + 910 58.998 * * [simplify]: Extracting #5: cost 165 inf + 4145 59.004 * * [simplify]: Extracting #6: cost 113 inf + 17141 59.020 * * [simplify]: Extracting #7: cost 35 inf + 76960 59.049 * * [simplify]: Extracting #8: cost 1 inf + 116313 59.067 * * [simplify]: Extracting #9: cost 0 inf + 111664 59.082 * * [simplify]: Extracting #10: cost 0 inf + 110548 59.106 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (- 1/2 (/ (sqrt k) 2))) (sqrt k)) 59.106 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (- 1/2 (/ (sqrt k) 2))) (sqrt k)))) 59.106 * * * * [progress]: [ 162 / 217 ] simplifiying candidate # 59.106 * [simplify]: Simplifying (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 59.107 * * [simplify]: iters left: 6 (19 enodes) 59.117 * * [simplify]: iters left: 5 (80 enodes) 59.133 * * [simplify]: iters left: 4 (133 enodes) 59.155 * * [simplify]: iters left: 3 (202 enodes) 59.226 * * [simplify]: iters left: 2 (348 enodes) 59.328 * * [simplify]: Extracting #0: cost 1 inf + 0 59.328 * * [simplify]: Extracting #1: cost 11 inf + 0 59.328 * * [simplify]: Extracting #2: cost 22 inf + 0 59.328 * * [simplify]: Extracting #3: cost 36 inf + 0 59.329 * * [simplify]: Extracting #4: cost 84 inf + 205 59.330 * * [simplify]: Extracting #5: cost 154 inf + 573 59.332 * * [simplify]: Extracting #6: cost 134 inf + 5585 59.338 * * [simplify]: Extracting #7: cost 80 inf + 18015 59.344 * * [simplify]: Extracting #8: cost 30 inf + 53203 59.353 * * [simplify]: Extracting #9: cost 0 inf + 80486 59.363 * * [simplify]: Extracting #10: cost 0 inf + 79700 59.374 * [simplify]: Simplified to (* (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k)))) 59.374 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k)))) (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))))) 59.374 * [simplify]: Simplifying (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))) 59.374 * * [simplify]: iters left: 6 (17 enodes) 59.379 * * [simplify]: iters left: 5 (68 enodes) 59.391 * * [simplify]: iters left: 4 (106 enodes) 59.410 * * [simplify]: iters left: 3 (171 enodes) 59.450 * * [simplify]: iters left: 2 (319 enodes) 59.578 * * [simplify]: Extracting #0: cost 1 inf + 0 59.578 * * [simplify]: Extracting #1: cost 4 inf + 0 59.578 * * [simplify]: Extracting #2: cost 8 inf + 0 59.578 * * [simplify]: Extracting #3: cost 23 inf + 0 59.578 * * [simplify]: Extracting #4: cost 73 inf + 164 59.579 * * [simplify]: Extracting #5: cost 139 inf + 331 59.582 * * [simplify]: Extracting #6: cost 120 inf + 5240 59.589 * * [simplify]: Extracting #7: cost 53 inf + 26863 59.604 * * [simplify]: Extracting #8: cost 9 inf + 57583 59.621 * * [simplify]: Extracting #9: cost 1 inf + 63237 59.638 * * [simplify]: Extracting #10: cost 0 inf + 64024 59.655 * [simplify]: Simplified to (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))) 59.655 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))))) 59.655 * * * * [progress]: [ 163 / 217 ] simplifiying candidate # 59.656 * [simplify]: Simplifying (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (* (cbrt k) (cbrt k)))) 59.656 * * [simplify]: iters left: 6 (20 enodes) 59.667 * * [simplify]: iters left: 5 (80 enodes) 59.697 * * [simplify]: iters left: 4 (122 enodes) 59.734 * * [simplify]: iters left: 3 (187 enodes) 59.784 * * [simplify]: iters left: 2 (330 enodes) 59.902 * * [simplify]: Extracting #0: cost 1 inf + 0 59.902 * * [simplify]: Extracting #1: cost 7 inf + 0 59.902 * * [simplify]: Extracting #2: cost 15 inf + 0 59.903 * * [simplify]: Extracting #3: cost 30 inf + 0 59.903 * * [simplify]: Extracting #4: cost 78 inf + 164 59.904 * * [simplify]: Extracting #5: cost 145 inf + 531 59.905 * * [simplify]: Extracting #6: cost 157 inf + 1211 59.909 * * [simplify]: Extracting #7: cost 100 inf + 13739 59.920 * * [simplify]: Extracting #8: cost 26 inf + 48617 59.937 * * [simplify]: Extracting #9: cost 0 inf + 70014 59.950 * * [simplify]: Extracting #10: cost 0 inf + 69762 59.960 * [simplify]: Simplified to (/ (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))))) (fabs (cbrt k))) 59.960 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))))) (fabs (cbrt k))) (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (cbrt k))))) 59.960 * [simplify]: Simplifying (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (cbrt k))) 59.961 * * [simplify]: iters left: 6 (18 enodes) 59.966 * * [simplify]: iters left: 5 (71 enodes) 59.978 * * [simplify]: iters left: 4 (113 enodes) 59.996 * * [simplify]: iters left: 3 (173 enodes) 60.052 * * [simplify]: iters left: 2 (300 enodes) 60.141 * * [simplify]: Extracting #0: cost 1 inf + 0 60.141 * * [simplify]: Extracting #1: cost 4 inf + 0 60.141 * * [simplify]: Extracting #2: cost 8 inf + 0 60.141 * * [simplify]: Extracting #3: cost 23 inf + 0 60.141 * * [simplify]: Extracting #4: cost 67 inf + 406 60.142 * * [simplify]: Extracting #5: cost 136 inf + 410 60.143 * * [simplify]: Extracting #6: cost 149 inf + 913 60.147 * * [simplify]: Extracting #7: cost 91 inf + 13420 60.162 * * [simplify]: Extracting #8: cost 29 inf + 40219 60.177 * * [simplify]: Extracting #9: cost 6 inf + 58824 60.194 * * [simplify]: Extracting #10: cost 0 inf + 64607 60.211 * [simplify]: Simplified to (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (cbrt k))) 60.211 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (cbrt k))))) 60.212 * * * * [progress]: [ 164 / 217 ] simplifiying candidate # 60.212 * [simplify]: Simplifying (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (sqrt k))) 60.212 * * [simplify]: iters left: 6 (18 enodes) 60.222 * * [simplify]: iters left: 5 (73 enodes) 60.246 * * [simplify]: iters left: 4 (119 enodes) 60.285 * * [simplify]: iters left: 3 (182 enodes) 60.337 * * [simplify]: iters left: 2 (309 enodes) 60.428 * * [simplify]: Extracting #0: cost 1 inf + 0 60.428 * * [simplify]: Extracting #1: cost 7 inf + 0 60.428 * * [simplify]: Extracting #2: cost 14 inf + 0 60.428 * * [simplify]: Extracting #3: cost 29 inf + 0 60.429 * * [simplify]: Extracting #4: cost 79 inf + 43 60.429 * * [simplify]: Extracting #5: cost 146 inf + 374 60.430 * * [simplify]: Extracting #6: cost 121 inf + 7143 60.435 * * [simplify]: Extracting #7: cost 52 inf + 34416 60.444 * * [simplify]: Extracting #8: cost 4 inf + 70652 60.458 * * [simplify]: Extracting #9: cost 0 inf + 73796 60.478 * [simplify]: Simplified to (/ (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (sqrt (sqrt k))) 60.478 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))))) 60.479 * [simplify]: Simplifying (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 60.479 * * [simplify]: iters left: 6 (17 enodes) 60.488 * * [simplify]: iters left: 5 (68 enodes) 60.510 * * [simplify]: iters left: 4 (106 enodes) 60.542 * * [simplify]: iters left: 3 (171 enodes) 60.588 * * [simplify]: iters left: 2 (319 enodes) 60.697 * * [simplify]: Extracting #0: cost 1 inf + 0 60.697 * * [simplify]: Extracting #1: cost 4 inf + 0 60.697 * * [simplify]: Extracting #2: cost 8 inf + 0 60.697 * * [simplify]: Extracting #3: cost 23 inf + 0 60.697 * * [simplify]: Extracting #4: cost 73 inf + 124 60.698 * * [simplify]: Extracting #5: cost 139 inf + 251 60.701 * * [simplify]: Extracting #6: cost 120 inf + 5160 60.708 * * [simplify]: Extracting #7: cost 53 inf + 26703 60.722 * * [simplify]: Extracting #8: cost 9 inf + 57423 60.740 * * [simplify]: Extracting #9: cost 1 inf + 63077 60.749 * * [simplify]: Extracting #10: cost 0 inf + 63864 60.757 * [simplify]: Simplified to (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 60.757 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))))) 60.757 * * * * [progress]: [ 165 / 217 ] simplifiying candidate # 60.758 * [simplify]: Simplifying (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt 1)) 60.758 * * [simplify]: iters left: 6 (18 enodes) 60.763 * * [simplify]: iters left: 5 (73 enodes) 60.788 * * [simplify]: iters left: 4 (119 enodes) 60.814 * * [simplify]: iters left: 3 (183 enodes) 60.852 * * [simplify]: iters left: 2 (311 enodes) 60.929 * * [simplify]: Extracting #0: cost 1 inf + 0 60.929 * * [simplify]: Extracting #1: cost 5 inf + 0 60.929 * * [simplify]: Extracting #2: cost 7 inf + 1 60.929 * * [simplify]: Extracting #3: cost 20 inf + 1 60.929 * * [simplify]: Extracting #4: cost 71 inf + 2 60.930 * * [simplify]: Extracting #5: cost 144 inf + 5 60.931 * * [simplify]: Extracting #6: cost 163 inf + 137 60.932 * * [simplify]: Extracting #7: cost 158 inf + 471 60.934 * * [simplify]: Extracting #8: cost 99 inf + 14251 60.939 * * [simplify]: Extracting #9: cost 36 inf + 40812 60.948 * * [simplify]: Extracting #10: cost 1 inf + 70789 60.961 * * [simplify]: Extracting #11: cost 0 inf + 71202 60.978 * [simplify]: Simplified to (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 60.978 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k)))) 60.979 * [simplify]: Simplifying (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k)) 60.979 * * [simplify]: iters left: 6 (16 enodes) 60.984 * * [simplify]: iters left: 5 (65 enodes) 60.995 * * [simplify]: iters left: 4 (103 enodes) 61.018 * * [simplify]: iters left: 3 (168 enodes) 61.068 * * [simplify]: iters left: 2 (313 enodes) 61.152 * * [simplify]: Extracting #0: cost 1 inf + 0 61.152 * * [simplify]: Extracting #1: cost 4 inf + 0 61.152 * * [simplify]: Extracting #2: cost 8 inf + 0 61.152 * * [simplify]: Extracting #3: cost 18 inf + 42 61.153 * * [simplify]: Extracting #4: cost 70 inf + 84 61.154 * * [simplify]: Extracting #5: cost 139 inf + 89 61.156 * * [simplify]: Extracting #6: cost 124 inf + 5707 61.165 * * [simplify]: Extracting #7: cost 49 inf + 34366 61.185 * * [simplify]: Extracting #8: cost 4 inf + 62928 61.203 * * [simplify]: Extracting #9: cost 0 inf + 65380 61.215 * * [simplify]: Extracting #10: cost 0 inf + 65327 61.224 * [simplify]: Simplified to (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k)) 61.224 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt 1)) (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k)))) 61.224 * * * * [progress]: [ 166 / 217 ] simplifiying candidate # 61.224 * [simplify]: Simplifying (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (sqrt k))) 61.224 * * [simplify]: iters left: 6 (18 enodes) 61.230 * * [simplify]: iters left: 5 (73 enodes) 61.243 * * [simplify]: iters left: 4 (119 enodes) 61.278 * * [simplify]: iters left: 3 (182 enodes) 61.319 * * [simplify]: iters left: 2 (309 enodes) 61.419 * * [simplify]: Extracting #0: cost 1 inf + 0 61.419 * * [simplify]: Extracting #1: cost 7 inf + 0 61.419 * * [simplify]: Extracting #2: cost 14 inf + 0 61.419 * * [simplify]: Extracting #3: cost 29 inf + 0 61.420 * * [simplify]: Extracting #4: cost 79 inf + 43 61.421 * * [simplify]: Extracting #5: cost 146 inf + 374 61.423 * * [simplify]: Extracting #6: cost 121 inf + 7143 61.432 * * [simplify]: Extracting #7: cost 52 inf + 34416 61.450 * * [simplify]: Extracting #8: cost 4 inf + 70652 61.470 * * [simplify]: Extracting #9: cost 0 inf + 73796 61.490 * [simplify]: Simplified to (/ (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (sqrt (sqrt k))) 61.490 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))))) 61.491 * [simplify]: Simplifying (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 61.491 * * [simplify]: iters left: 6 (17 enodes) 61.500 * * [simplify]: iters left: 5 (68 enodes) 61.521 * * [simplify]: iters left: 4 (106 enodes) 61.561 * * [simplify]: iters left: 3 (171 enodes) 61.622 * * [simplify]: iters left: 2 (319 enodes) 61.749 * * [simplify]: Extracting #0: cost 1 inf + 0 61.749 * * [simplify]: Extracting #1: cost 4 inf + 0 61.749 * * [simplify]: Extracting #2: cost 8 inf + 0 61.749 * * [simplify]: Extracting #3: cost 23 inf + 0 61.750 * * [simplify]: Extracting #4: cost 73 inf + 124 61.750 * * [simplify]: Extracting #5: cost 139 inf + 251 61.753 * * [simplify]: Extracting #6: cost 120 inf + 5160 61.760 * * [simplify]: Extracting #7: cost 53 inf + 26703 61.774 * * [simplify]: Extracting #8: cost 9 inf + 57423 61.791 * * [simplify]: Extracting #9: cost 1 inf + 63077 61.806 * * [simplify]: Extracting #10: cost 0 inf + 63864 61.815 * [simplify]: Simplified to (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 61.815 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))))) 61.815 * * * * [progress]: [ 167 / 217 ] simplifiying candidate # 61.816 * [simplify]: Simplifying (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 1) 61.816 * * [simplify]: iters left: 6 (17 enodes) 61.821 * * [simplify]: iters left: 5 (68 enodes) 61.837 * * [simplify]: iters left: 4 (114 enodes) 61.875 * * [simplify]: iters left: 3 (180 enodes) 61.925 * * [simplify]: iters left: 2 (325 enodes) 61.997 * * [simplify]: Extracting #0: cost 1 inf + 0 61.997 * * [simplify]: Extracting #1: cost 5 inf + 0 61.997 * * [simplify]: Extracting #2: cost 7 inf + 1 61.997 * * [simplify]: Extracting #3: cost 20 inf + 1 61.997 * * [simplify]: Extracting #4: cost 75 inf + 2 61.998 * * [simplify]: Extracting #5: cost 148 inf + 6 61.999 * * [simplify]: Extracting #6: cost 167 inf + 262 62.000 * * [simplify]: Extracting #7: cost 162 inf + 762 62.004 * * [simplify]: Extracting #8: cost 111 inf + 15876 62.016 * * [simplify]: Extracting #9: cost 28 inf + 48851 62.034 * * [simplify]: Extracting #10: cost 2 inf + 69839 62.056 * * [simplify]: Extracting #11: cost 0 inf + 71429 62.075 * [simplify]: Simplified to (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 62.075 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k)))) 62.075 * [simplify]: Simplifying (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k)) 62.075 * * [simplify]: iters left: 6 (16 enodes) 62.083 * * [simplify]: iters left: 5 (65 enodes) 62.093 * * [simplify]: iters left: 4 (103 enodes) 62.110 * * [simplify]: iters left: 3 (168 enodes) 62.170 * * [simplify]: iters left: 2 (313 enodes) 62.290 * * [simplify]: Extracting #0: cost 1 inf + 0 62.290 * * [simplify]: Extracting #1: cost 4 inf + 0 62.290 * * [simplify]: Extracting #2: cost 8 inf + 0 62.291 * * [simplify]: Extracting #3: cost 18 inf + 42 62.291 * * [simplify]: Extracting #4: cost 70 inf + 84 62.292 * * [simplify]: Extracting #5: cost 139 inf + 89 62.294 * * [simplify]: Extracting #6: cost 124 inf + 5707 62.307 * * [simplify]: Extracting #7: cost 49 inf + 34366 62.323 * * [simplify]: Extracting #8: cost 4 inf + 62928 62.341 * * [simplify]: Extracting #9: cost 0 inf + 65380 62.359 * * [simplify]: Extracting #10: cost 0 inf + 65327 62.376 * [simplify]: Simplified to (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k)) 62.376 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 1) (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k)))) 62.377 * * * * [progress]: [ 168 / 217 ] simplifiying candidate # 62.377 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 62.377 * * [simplify]: iters left: 6 (18 enodes) 62.387 * * [simplify]: iters left: 5 (73 enodes) 62.400 * * [simplify]: iters left: 4 (118 enodes) 62.421 * * [simplify]: iters left: 3 (178 enodes) 62.483 * * [simplify]: iters left: 2 (305 enodes) 62.557 * * [simplify]: Extracting #0: cost 1 inf + 0 62.557 * * [simplify]: Extracting #1: cost 6 inf + 0 62.558 * * [simplify]: Extracting #2: cost 13 inf + 0 62.558 * * [simplify]: Extracting #3: cost 32 inf + 0 62.558 * * [simplify]: Extracting #4: cost 84 inf + 285 62.558 * * [simplify]: Extracting #5: cost 135 inf + 1067 62.560 * * [simplify]: Extracting #6: cost 111 inf + 6630 62.569 * * [simplify]: Extracting #7: cost 39 inf + 40111 62.585 * * [simplify]: Extracting #8: cost 2 inf + 66690 62.602 * * [simplify]: Extracting #9: cost 0 inf + 66973 62.621 * * [simplify]: Extracting #10: cost 0 inf + 66843 62.639 * [simplify]: Simplified to (/ (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))) (cbrt (sqrt k))) 62.639 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))))) 62.639 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))) 62.639 * * [simplify]: iters left: 6 (17 enodes) 62.648 * * [simplify]: iters left: 5 (68 enodes) 62.671 * * [simplify]: iters left: 4 (107 enodes) 62.692 * * [simplify]: iters left: 3 (169 enodes) 62.748 * * [simplify]: iters left: 2 (312 enodes) 62.870 * * [simplify]: Extracting #0: cost 1 inf + 0 62.870 * * [simplify]: Extracting #1: cost 4 inf + 0 62.870 * * [simplify]: Extracting #2: cost 9 inf + 0 62.870 * * [simplify]: Extracting #3: cost 28 inf + 0 62.871 * * [simplify]: Extracting #4: cost 84 inf + 164 62.871 * * [simplify]: Extracting #5: cost 136 inf + 537 62.874 * * [simplify]: Extracting #6: cost 120 inf + 4845 62.880 * * [simplify]: Extracting #7: cost 55 inf + 26471 62.895 * * [simplify]: Extracting #8: cost 9 inf + 56890 62.912 * * [simplify]: Extracting #9: cost 0 inf + 64410 62.929 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))) 62.929 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))))) 62.929 * * * * [progress]: [ 169 / 217 ] simplifiying candidate # 62.930 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (* (cbrt k) (cbrt k)))) 62.930 * * [simplify]: iters left: 6 (19 enodes) 62.940 * * [simplify]: iters left: 5 (75 enodes) 62.968 * * [simplify]: iters left: 4 (114 enodes) 62.998 * * [simplify]: iters left: 3 (179 enodes) 63.047 * * [simplify]: iters left: 2 (324 enodes) 63.153 * * [simplify]: Extracting #0: cost 1 inf + 0 63.153 * * [simplify]: Extracting #1: cost 4 inf + 0 63.153 * * [simplify]: Extracting #2: cost 10 inf + 0 63.153 * * [simplify]: Extracting #3: cost 30 inf + 0 63.154 * * [simplify]: Extracting #4: cost 86 inf + 446 63.155 * * [simplify]: Extracting #5: cost 141 inf + 654 63.156 * * [simplify]: Extracting #6: cost 157 inf + 907 63.160 * * [simplify]: Extracting #7: cost 89 inf + 15265 63.170 * * [simplify]: Extracting #8: cost 32 inf + 37611 63.186 * * [simplify]: Extracting #9: cost 5 inf + 60954 63.200 * * [simplify]: Extracting #10: cost 0 inf + 66785 63.209 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (fabs (cbrt k))) 63.209 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (fabs (cbrt k))) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (cbrt k))))) 63.209 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (cbrt k))) 63.209 * * [simplify]: iters left: 6 (18 enodes) 63.214 * * [simplify]: iters left: 5 (71 enodes) 63.227 * * [simplify]: iters left: 4 (114 enodes) 63.263 * * [simplify]: iters left: 3 (174 enodes) 63.313 * * [simplify]: iters left: 2 (301 enodes) 63.385 * * [simplify]: Extracting #0: cost 1 inf + 0 63.385 * * [simplify]: Extracting #1: cost 4 inf + 0 63.385 * * [simplify]: Extracting #2: cost 9 inf + 0 63.385 * * [simplify]: Extracting #3: cost 28 inf + 0 63.386 * * [simplify]: Extracting #4: cost 79 inf + 406 63.386 * * [simplify]: Extracting #5: cost 137 inf + 412 63.387 * * [simplify]: Extracting #6: cost 152 inf + 665 63.391 * * [simplify]: Extracting #7: cost 94 inf + 12794 63.405 * * [simplify]: Extracting #8: cost 36 inf + 33901 63.414 * * [simplify]: Extracting #9: cost 9 inf + 56316 63.423 * * [simplify]: Extracting #10: cost 0 inf + 65340 63.431 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (cbrt k))) 63.431 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (cbrt k))))) 63.431 * * * * [progress]: [ 170 / 217 ] simplifiying candidate # 63.432 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 63.432 * * [simplify]: iters left: 6 (17 enodes) 63.437 * * [simplify]: iters left: 5 (68 enodes) 63.451 * * [simplify]: iters left: 4 (107 enodes) 63.476 * * [simplify]: iters left: 3 (169 enodes) 63.521 * * [simplify]: iters left: 2 (312 enodes) 63.607 * * [simplify]: Extracting #0: cost 1 inf + 0 63.607 * * [simplify]: Extracting #1: cost 4 inf + 0 63.607 * * [simplify]: Extracting #2: cost 9 inf + 0 63.608 * * [simplify]: Extracting #3: cost 28 inf + 0 63.608 * * [simplify]: Extracting #4: cost 84 inf + 124 63.609 * * [simplify]: Extracting #5: cost 136 inf + 457 63.610 * * [simplify]: Extracting #6: cost 120 inf + 4765 63.613 * * [simplify]: Extracting #7: cost 55 inf + 26351 63.628 * * [simplify]: Extracting #8: cost 9 inf + 56730 63.639 * * [simplify]: Extracting #9: cost 0 inf + 64250 63.648 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 63.648 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))))) 63.648 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 63.648 * * [simplify]: iters left: 6 (17 enodes) 63.653 * * [simplify]: iters left: 5 (68 enodes) 63.671 * * [simplify]: iters left: 4 (107 enodes) 63.704 * * [simplify]: iters left: 3 (169 enodes) 63.746 * * [simplify]: iters left: 2 (312 enodes) 63.858 * * [simplify]: Extracting #0: cost 1 inf + 0 63.858 * * [simplify]: Extracting #1: cost 4 inf + 0 63.858 * * [simplify]: Extracting #2: cost 9 inf + 0 63.859 * * [simplify]: Extracting #3: cost 28 inf + 0 63.859 * * [simplify]: Extracting #4: cost 84 inf + 124 63.859 * * [simplify]: Extracting #5: cost 136 inf + 457 63.860 * * [simplify]: Extracting #6: cost 120 inf + 4765 63.864 * * [simplify]: Extracting #7: cost 55 inf + 26351 63.871 * * [simplify]: Extracting #8: cost 9 inf + 56730 63.879 * * [simplify]: Extracting #9: cost 0 inf + 64250 63.888 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 63.888 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))))) 63.888 * * * * [progress]: [ 171 / 217 ] simplifiying candidate # 63.888 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt 1)) 63.888 * * [simplify]: iters left: 6 (17 enodes) 63.893 * * [simplify]: iters left: 5 (68 enodes) 63.907 * * [simplify]: iters left: 4 (107 enodes) 63.944 * * [simplify]: iters left: 3 (171 enodes) 64.003 * * [simplify]: iters left: 2 (315 enodes) 64.102 * * [simplify]: Extracting #0: cost 1 inf + 0 64.102 * * [simplify]: Extracting #1: cost 5 inf + 0 64.102 * * [simplify]: Extracting #2: cost 21 inf + 1 64.102 * * [simplify]: Extracting #3: cost 78 inf + 2 64.103 * * [simplify]: Extracting #4: cost 140 inf + 7 64.103 * * [simplify]: Extracting #5: cost 159 inf + 137 64.104 * * [simplify]: Extracting #6: cost 152 inf + 677 64.107 * * [simplify]: Extracting #7: cost 58 inf + 32334 64.115 * * [simplify]: Extracting #8: cost 3 inf + 60368 64.125 * * [simplify]: Extracting #9: cost 0 inf + 61491 64.140 * * [simplify]: Extracting #10: cost 0 inf + 61360 64.158 * [simplify]: Simplified to (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 64.158 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k)))) 64.158 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k)) 64.158 * * [simplify]: iters left: 6 (16 enodes) 64.163 * * [simplify]: iters left: 5 (65 enodes) 64.178 * * [simplify]: iters left: 4 (104 enodes) 64.195 * * [simplify]: iters left: 3 (170 enodes) 64.241 * * [simplify]: iters left: 2 (315 enodes) 64.346 * * [simplify]: Extracting #0: cost 1 inf + 0 64.346 * * [simplify]: Extracting #1: cost 4 inf + 0 64.347 * * [simplify]: Extracting #2: cost 9 inf + 0 64.347 * * [simplify]: Extracting #3: cost 23 inf + 42 64.347 * * [simplify]: Extracting #4: cost 86 inf + 84 64.347 * * [simplify]: Extracting #5: cost 139 inf + 828 64.349 * * [simplify]: Extracting #6: cost 109 inf + 7548 64.353 * * [simplify]: Extracting #7: cost 43 inf + 34285 64.364 * * [simplify]: Extracting #8: cost 5 inf + 63879 64.382 * * [simplify]: Extracting #9: cost 0 inf + 68874 64.404 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k)) 64.404 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt 1)) (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k)))) 64.405 * * * * [progress]: [ 172 / 217 ] simplifiying candidate # 64.405 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 64.405 * * [simplify]: iters left: 6 (17 enodes) 64.415 * * [simplify]: iters left: 5 (68 enodes) 64.438 * * [simplify]: iters left: 4 (107 enodes) 64.456 * * [simplify]: iters left: 3 (169 enodes) 64.494 * * [simplify]: iters left: 2 (312 enodes) 64.583 * * [simplify]: Extracting #0: cost 1 inf + 0 64.583 * * [simplify]: Extracting #1: cost 4 inf + 0 64.583 * * [simplify]: Extracting #2: cost 9 inf + 0 64.584 * * [simplify]: Extracting #3: cost 28 inf + 0 64.584 * * [simplify]: Extracting #4: cost 84 inf + 124 64.584 * * [simplify]: Extracting #5: cost 136 inf + 457 64.585 * * [simplify]: Extracting #6: cost 120 inf + 4765 64.589 * * [simplify]: Extracting #7: cost 55 inf + 26351 64.602 * * [simplify]: Extracting #8: cost 9 inf + 56730 64.623 * * [simplify]: Extracting #9: cost 0 inf + 64250 64.640 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 64.640 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))))) 64.641 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 64.641 * * [simplify]: iters left: 6 (17 enodes) 64.651 * * [simplify]: iters left: 5 (68 enodes) 64.671 * * [simplify]: iters left: 4 (107 enodes) 64.688 * * [simplify]: iters left: 3 (169 enodes) 64.731 * * [simplify]: iters left: 2 (312 enodes) 64.813 * * [simplify]: Extracting #0: cost 1 inf + 0 64.813 * * [simplify]: Extracting #1: cost 4 inf + 0 64.813 * * [simplify]: Extracting #2: cost 9 inf + 0 64.813 * * [simplify]: Extracting #3: cost 28 inf + 0 64.813 * * [simplify]: Extracting #4: cost 84 inf + 124 64.814 * * [simplify]: Extracting #5: cost 136 inf + 457 64.815 * * [simplify]: Extracting #6: cost 120 inf + 4765 64.818 * * [simplify]: Extracting #7: cost 55 inf + 26351 64.828 * * [simplify]: Extracting #8: cost 9 inf + 56730 64.837 * * [simplify]: Extracting #9: cost 0 inf + 64250 64.850 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 64.850 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))))) 64.850 * * * * [progress]: [ 173 / 217 ] simplifiying candidate # 64.850 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 1) 64.851 * * [simplify]: iters left: 6 (16 enodes) 64.859 * * [simplify]: iters left: 5 (63 enodes) 64.880 * * [simplify]: iters left: 4 (102 enodes) 64.914 * * [simplify]: iters left: 3 (167 enodes) 64.978 * * [simplify]: iters left: 2 (315 enodes) 65.080 * * [simplify]: Extracting #0: cost 1 inf + 0 65.081 * * [simplify]: Extracting #1: cost 5 inf + 0 65.081 * * [simplify]: Extracting #2: cost 20 inf + 1 65.081 * * [simplify]: Extracting #3: cost 82 inf + 2 65.081 * * [simplify]: Extracting #4: cost 142 inf + 7 65.082 * * [simplify]: Extracting #5: cost 159 inf + 180 65.083 * * [simplify]: Extracting #6: cost 155 inf + 473 65.086 * * [simplify]: Extracting #7: cost 75 inf + 19697 65.101 * * [simplify]: Extracting #8: cost 8 inf + 55449 65.121 * * [simplify]: Extracting #9: cost 0 inf + 61953 65.139 * * [simplify]: Extracting #10: cost 0 inf + 61692 65.158 * [simplify]: Simplified to (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 65.158 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k)))) 65.158 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k)) 65.158 * * [simplify]: iters left: 6 (16 enodes) 65.167 * * [simplify]: iters left: 5 (65 enodes) 65.189 * * [simplify]: iters left: 4 (104 enodes) 65.224 * * [simplify]: iters left: 3 (170 enodes) 65.282 * * [simplify]: iters left: 2 (315 enodes) 65.359 * * [simplify]: Extracting #0: cost 1 inf + 0 65.360 * * [simplify]: Extracting #1: cost 4 inf + 0 65.360 * * [simplify]: Extracting #2: cost 9 inf + 0 65.360 * * [simplify]: Extracting #3: cost 23 inf + 42 65.360 * * [simplify]: Extracting #4: cost 86 inf + 84 65.361 * * [simplify]: Extracting #5: cost 139 inf + 828 65.364 * * [simplify]: Extracting #6: cost 109 inf + 7548 65.371 * * [simplify]: Extracting #7: cost 43 inf + 34285 65.378 * * [simplify]: Extracting #8: cost 5 inf + 63879 65.388 * * [simplify]: Extracting #9: cost 0 inf + 68874 65.397 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k)) 65.397 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 1) (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k)))) 65.397 * * * * [progress]: [ 174 / 217 ] simplifiying candidate # 65.397 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 65.397 * * [simplify]: iters left: 6 (6 enodes) 65.399 * * [simplify]: iters left: 5 (22 enodes) 65.403 * * [simplify]: iters left: 4 (26 enodes) 65.407 * * [simplify]: Extracting #0: cost 1 inf + 0 65.407 * * [simplify]: Extracting #1: cost 6 inf + 0 65.407 * * [simplify]: Extracting #2: cost 9 inf + 1 65.407 * * [simplify]: Extracting #3: cost 11 inf + 1 65.407 * * [simplify]: Extracting #4: cost 8 inf + 84 65.407 * * [simplify]: Extracting #5: cost 2 inf + 1013 65.407 * * [simplify]: Extracting #6: cost 0 inf + 1376 65.407 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 65.407 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 65.408 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 65.408 * * [simplify]: iters left: 6 (16 enodes) 65.415 * * [simplify]: iters left: 5 (65 enodes) 65.441 * * [simplify]: iters left: 4 (105 enodes) 65.475 * * [simplify]: iters left: 3 (176 enodes) 65.539 * * [simplify]: iters left: 2 (340 enodes) 65.664 * * [simplify]: Extracting #0: cost 1 inf + 0 65.664 * * [simplify]: Extracting #1: cost 30 inf + 0 65.664 * * [simplify]: Extracting #2: cost 73 inf + 0 65.664 * * [simplify]: Extracting #3: cost 138 inf + 2 65.665 * * [simplify]: Extracting #4: cost 179 inf + 134 65.666 * * [simplify]: Extracting #5: cost 165 inf + 4650 65.670 * * [simplify]: Extracting #6: cost 97 inf + 21248 65.678 * * [simplify]: Extracting #7: cost 31 inf + 71511 65.701 * * [simplify]: Extracting #8: cost 3 inf + 102081 65.714 * * [simplify]: Extracting #9: cost 0 inf + 105356 65.728 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (cbrt (sqrt k))) 65.728 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (cbrt (sqrt k))))) 65.728 * * * * [progress]: [ 175 / 217 ] simplifiying candidate # 65.728 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 65.728 * * [simplify]: iters left: 6 (6 enodes) 65.730 * * [simplify]: iters left: 5 (21 enodes) 65.734 * * [simplify]: iters left: 4 (23 enodes) 65.737 * * [simplify]: Extracting #0: cost 1 inf + 0 65.738 * * [simplify]: Extracting #1: cost 4 inf + 0 65.738 * * [simplify]: Extracting #2: cost 6 inf + 1 65.738 * * [simplify]: Extracting #3: cost 9 inf + 1 65.738 * * [simplify]: Extracting #4: cost 8 inf + 2 65.738 * * [simplify]: Extracting #5: cost 1 inf + 810 65.738 * * [simplify]: Extracting #6: cost 0 inf + 972 65.738 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 65.738 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 65.738 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 65.738 * * [simplify]: iters left: 6 (17 enodes) 65.743 * * [simplify]: iters left: 5 (68 enodes) 65.754 * * [simplify]: iters left: 4 (108 enodes) 65.786 * * [simplify]: iters left: 3 (179 enodes) 65.827 * * [simplify]: iters left: 2 (343 enodes) 65.950 * * [simplify]: Extracting #0: cost 1 inf + 0 65.950 * * [simplify]: Extracting #1: cost 30 inf + 0 65.950 * * [simplify]: Extracting #2: cost 72 inf + 0 65.951 * * [simplify]: Extracting #3: cost 139 inf + 2 65.951 * * [simplify]: Extracting #4: cost 184 inf + 11 65.952 * * [simplify]: Extracting #5: cost 180 inf + 4850 65.956 * * [simplify]: Extracting #6: cost 104 inf + 25669 65.965 * * [simplify]: Extracting #7: cost 20 inf + 87155 65.984 * * [simplify]: Extracting #8: cost 0 inf + 106997 66.008 * * [simplify]: Extracting #9: cost 0 inf + 106744 66.025 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 66.025 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 66.025 * * * * [progress]: [ 176 / 217 ] simplifiying candidate # 66.025 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 66.025 * * [simplify]: iters left: 4 (5 enodes) 66.027 * * [simplify]: iters left: 3 (17 enodes) 66.030 * * [simplify]: iters left: 2 (19 enodes) 66.033 * * [simplify]: Extracting #0: cost 1 inf + 0 66.033 * * [simplify]: Extracting #1: cost 4 inf + 0 66.033 * * [simplify]: Extracting #2: cost 5 inf + 1 66.033 * * [simplify]: Extracting #3: cost 7 inf + 1 66.033 * * [simplify]: Extracting #4: cost 0 inf + 490 66.033 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 66.033 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 66.033 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 66.033 * * [simplify]: iters left: 6 (16 enodes) 66.038 * * [simplify]: iters left: 5 (65 enodes) 66.049 * * [simplify]: iters left: 4 (105 enodes) 66.083 * * [simplify]: iters left: 3 (176 enodes) 66.137 * * [simplify]: iters left: 2 (340 enodes) 66.270 * * [simplify]: Extracting #0: cost 1 inf + 0 66.270 * * [simplify]: Extracting #1: cost 30 inf + 0 66.271 * * [simplify]: Extracting #2: cost 73 inf + 0 66.271 * * [simplify]: Extracting #3: cost 138 inf + 2 66.272 * * [simplify]: Extracting #4: cost 179 inf + 134 66.274 * * [simplify]: Extracting #5: cost 165 inf + 4610 66.277 * * [simplify]: Extracting #6: cost 97 inf + 21088 66.286 * * [simplify]: Extracting #7: cost 31 inf + 70831 66.302 * * [simplify]: Extracting #8: cost 3 inf + 100721 66.327 * * [simplify]: Extracting #9: cost 0 inf + 103876 66.354 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt (sqrt k))) 66.354 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt (sqrt k))))) 66.355 * * * * [progress]: [ 177 / 217 ] simplifiying candidate # 66.355 * [simplify]: Simplifying (/ 1 (sqrt 1)) 66.355 * * [simplify]: iters left: 3 (3 enodes) 66.361 * * [simplify]: iters left: 2 (11 enodes) 66.364 * * [simplify]: iters left: 1 (13 enodes) 66.366 * * [simplify]: Extracting #0: cost 1 inf + 0 66.366 * * [simplify]: Extracting #1: cost 0 inf + 1 66.367 * [simplify]: Simplified to 1 66.367 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 66.367 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 66.367 * * [simplify]: iters left: 6 (15 enodes) 66.375 * * [simplify]: iters left: 5 (62 enodes) 66.393 * * [simplify]: iters left: 4 (102 enodes) 66.421 * * [simplify]: iters left: 3 (174 enodes) 66.463 * * [simplify]: iters left: 2 (338 enodes) 66.550 * * [simplify]: Extracting #0: cost 1 inf + 0 66.550 * * [simplify]: Extracting #1: cost 30 inf + 0 66.551 * * [simplify]: Extracting #2: cost 73 inf + 0 66.551 * * [simplify]: Extracting #3: cost 132 inf + 44 66.553 * * [simplify]: Extracting #4: cost 171 inf + 830 66.556 * * [simplify]: Extracting #5: cost 145 inf + 9272 66.564 * * [simplify]: Extracting #6: cost 73 inf + 41245 66.583 * * [simplify]: Extracting #7: cost 8 inf + 96035 66.610 * * [simplify]: Extracting #8: cost 0 inf + 102472 66.625 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)) 66.625 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)))) 66.625 * * * * [progress]: [ 178 / 217 ] simplifiying candidate # 66.625 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 66.625 * * [simplify]: iters left: 4 (5 enodes) 66.627 * * [simplify]: iters left: 3 (17 enodes) 66.630 * * [simplify]: iters left: 2 (19 enodes) 66.633 * * [simplify]: Extracting #0: cost 1 inf + 0 66.633 * * [simplify]: Extracting #1: cost 4 inf + 0 66.633 * * [simplify]: Extracting #2: cost 5 inf + 1 66.633 * * [simplify]: Extracting #3: cost 7 inf + 1 66.633 * * [simplify]: Extracting #4: cost 0 inf + 490 66.633 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 66.633 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 66.633 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 66.634 * * [simplify]: iters left: 6 (16 enodes) 66.638 * * [simplify]: iters left: 5 (65 enodes) 66.658 * * [simplify]: iters left: 4 (105 enodes) 66.684 * * [simplify]: iters left: 3 (176 enodes) 66.726 * * [simplify]: iters left: 2 (340 enodes) 66.846 * * [simplify]: Extracting #0: cost 1 inf + 0 66.846 * * [simplify]: Extracting #1: cost 30 inf + 0 66.846 * * [simplify]: Extracting #2: cost 73 inf + 0 66.846 * * [simplify]: Extracting #3: cost 138 inf + 2 66.847 * * [simplify]: Extracting #4: cost 179 inf + 134 66.848 * * [simplify]: Extracting #5: cost 165 inf + 4610 66.852 * * [simplify]: Extracting #6: cost 97 inf + 21088 66.860 * * [simplify]: Extracting #7: cost 31 inf + 70831 66.877 * * [simplify]: Extracting #8: cost 3 inf + 100721 66.904 * * [simplify]: Extracting #9: cost 0 inf + 103876 66.931 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt (sqrt k))) 66.932 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt (sqrt k))))) 66.932 * * * * [progress]: [ 179 / 217 ] simplifiying candidate # 66.932 * [simplify]: Simplifying (/ 1 1) 66.932 * * [simplify]: iters left: 2 (2 enodes) 66.934 * * [simplify]: iters left: 1 (6 enodes) 66.936 * * [simplify]: Extracting #0: cost 1 inf + 0 66.936 * * [simplify]: Extracting #1: cost 0 inf + 1 66.936 * [simplify]: Simplified to 1 66.936 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 66.937 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 66.937 * * [simplify]: iters left: 6 (15 enodes) 66.945 * * [simplify]: iters left: 5 (62 enodes) 66.970 * * [simplify]: iters left: 4 (102 enodes) 67.004 * * [simplify]: iters left: 3 (174 enodes) 67.047 * * [simplify]: iters left: 2 (338 enodes) 67.136 * * [simplify]: Extracting #0: cost 1 inf + 0 67.136 * * [simplify]: Extracting #1: cost 30 inf + 0 67.137 * * [simplify]: Extracting #2: cost 73 inf + 0 67.137 * * [simplify]: Extracting #3: cost 132 inf + 44 67.138 * * [simplify]: Extracting #4: cost 171 inf + 830 67.139 * * [simplify]: Extracting #5: cost 145 inf + 9272 67.145 * * [simplify]: Extracting #6: cost 73 inf + 41245 67.167 * * [simplify]: Extracting #7: cost 8 inf + 96035 67.198 * * [simplify]: Extracting #8: cost 0 inf + 102472 67.224 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)) 67.224 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)))) 67.224 * * * * [progress]: [ 180 / 217 ] simplifiying candidate # 67.224 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 67.225 * * [simplify]: iters left: 6 (18 enodes) 67.234 * * [simplify]: iters left: 5 (76 enodes) 67.259 * * [simplify]: iters left: 4 (129 enodes) 67.300 * * [simplify]: iters left: 3 (226 enodes) 67.363 * * [simplify]: iters left: 2 (460 enodes) 67.509 * * [simplify]: Extracting #0: cost 1 inf + 0 67.509 * * [simplify]: Extracting #1: cost 55 inf + 0 67.510 * * [simplify]: Extracting #2: cost 146 inf + 0 67.517 * * [simplify]: Extracting #3: cost 228 inf + 2 67.520 * * [simplify]: Extracting #4: cost 264 inf + 1522 67.526 * * [simplify]: Extracting #5: cost 218 inf + 14578 67.547 * * [simplify]: Extracting #6: cost 92 inf + 100409 67.592 * * [simplify]: Extracting #7: cost 1 inf + 190050 67.642 * * [simplify]: Extracting #8: cost 0 inf + 189213 67.684 * [simplify]: Simplified to (* (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 8)) (cbrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 8)) (cbrt (sqrt k)))) 67.685 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 8)) (cbrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 8)) (cbrt (sqrt k)))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (cbrt (sqrt k))))) 67.685 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (cbrt (sqrt k))) 67.685 * * [simplify]: iters left: 6 (17 enodes) 67.690 * * [simplify]: iters left: 5 (71 enodes) 67.701 * * [simplify]: iters left: 4 (115 enodes) 67.735 * * [simplify]: iters left: 3 (193 enodes) 67.795 * * [simplify]: iters left: 2 (371 enodes) 67.908 * * [simplify]: Extracting #0: cost 1 inf + 0 67.909 * * [simplify]: Extracting #1: cost 30 inf + 0 67.909 * * [simplify]: Extracting #2: cost 73 inf + 0 67.910 * * [simplify]: Extracting #3: cost 145 inf + 2 67.911 * * [simplify]: Extracting #4: cost 192 inf + 177 67.913 * * [simplify]: Extracting #5: cost 166 inf + 9270 67.920 * * [simplify]: Extracting #6: cost 68 inf + 48716 67.932 * * [simplify]: Extracting #7: cost 3 inf + 102679 67.945 * * [simplify]: Extracting #8: cost 0 inf + 105176 67.969 * * [simplify]: Extracting #9: cost 0 inf + 104652 67.996 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) (cbrt (sqrt k))) 67.996 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) (cbrt (sqrt k))))) 67.996 * * * * [progress]: [ 181 / 217 ] simplifiying candidate # 67.997 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) 67.997 * * [simplify]: iters left: 6 (19 enodes) 68.008 * * [simplify]: iters left: 5 (78 enodes) 68.031 * * [simplify]: iters left: 4 (125 enodes) 68.053 * * [simplify]: iters left: 3 (207 enodes) 68.098 * * [simplify]: iters left: 2 (395 enodes) 68.221 * * [simplify]: Extracting #0: cost 1 inf + 0 68.221 * * [simplify]: Extracting #1: cost 30 inf + 0 68.222 * * [simplify]: Extracting #2: cost 72 inf + 0 68.222 * * [simplify]: Extracting #3: cost 146 inf + 2 68.223 * * [simplify]: Extracting #4: cost 196 inf + 13 68.224 * * [simplify]: Extracting #5: cost 188 inf + 4176 68.229 * * [simplify]: Extracting #6: cost 88 inf + 33762 68.241 * * [simplify]: Extracting #7: cost 6 inf + 100508 68.256 * * [simplify]: Extracting #8: cost 0 inf + 105534 68.270 * * [simplify]: Extracting #9: cost 0 inf + 105404 68.297 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (fabs (cbrt k))) 68.297 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (fabs (cbrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (cbrt k))))) 68.298 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (cbrt k))) 68.298 * * [simplify]: iters left: 6 (18 enodes) 68.308 * * [simplify]: iters left: 5 (74 enodes) 68.335 * * [simplify]: iters left: 4 (121 enodes) 68.375 * * [simplify]: iters left: 3 (203 enodes) 68.433 * * [simplify]: iters left: 2 (389 enodes) 68.571 * * [simplify]: Extracting #0: cost 1 inf + 0 68.571 * * [simplify]: Extracting #1: cost 30 inf + 0 68.571 * * [simplify]: Extracting #2: cost 72 inf + 0 68.572 * * [simplify]: Extracting #3: cost 146 inf + 2 68.573 * * [simplify]: Extracting #4: cost 198 inf + 13 68.576 * * [simplify]: Extracting #5: cost 195 inf + 3352 68.580 * * [simplify]: Extracting #6: cost 105 inf + 25696 68.590 * * [simplify]: Extracting #7: cost 28 inf + 83077 68.604 * * [simplify]: Extracting #8: cost 0 inf + 110548 68.627 * * [simplify]: Extracting #9: cost 0 inf + 110507 68.641 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) (sqrt (cbrt k))) 68.641 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) (sqrt (cbrt k))))) 68.641 * * * * [progress]: [ 182 / 217 ] simplifiying candidate # 68.642 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (sqrt k))) 68.642 * * [simplify]: iters left: 6 (17 enodes) 68.647 * * [simplify]: iters left: 5 (71 enodes) 68.667 * * [simplify]: iters left: 4 (115 enodes) 68.688 * * [simplify]: iters left: 3 (193 enodes) 68.733 * * [simplify]: iters left: 2 (371 enodes) 68.833 * * [simplify]: Extracting #0: cost 1 inf + 0 68.833 * * [simplify]: Extracting #1: cost 30 inf + 0 68.834 * * [simplify]: Extracting #2: cost 73 inf + 0 68.834 * * [simplify]: Extracting #3: cost 145 inf + 2 68.835 * * [simplify]: Extracting #4: cost 192 inf + 177 68.836 * * [simplify]: Extracting #5: cost 166 inf + 9190 68.846 * * [simplify]: Extracting #6: cost 68 inf + 48156 68.870 * * [simplify]: Extracting #7: cost 3 inf + 101239 68.891 * * [simplify]: Extracting #8: cost 0 inf + 103696 68.904 * * [simplify]: Extracting #9: cost 0 inf + 103172 68.919 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) (sqrt (sqrt k))) 68.919 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) (sqrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (sqrt k))))) 68.919 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (sqrt k))) 68.920 * * [simplify]: iters left: 6 (17 enodes) 68.929 * * [simplify]: iters left: 5 (71 enodes) 68.952 * * [simplify]: iters left: 4 (115 enodes) 68.979 * * [simplify]: iters left: 3 (193 enodes) 69.015 * * [simplify]: iters left: 2 (371 enodes) 69.137 * * [simplify]: Extracting #0: cost 1 inf + 0 69.137 * * [simplify]: Extracting #1: cost 30 inf + 0 69.138 * * [simplify]: Extracting #2: cost 73 inf + 0 69.138 * * [simplify]: Extracting #3: cost 145 inf + 2 69.139 * * [simplify]: Extracting #4: cost 192 inf + 177 69.143 * * [simplify]: Extracting #5: cost 166 inf + 9190 69.150 * * [simplify]: Extracting #6: cost 68 inf + 48156 69.162 * * [simplify]: Extracting #7: cost 3 inf + 101239 69.179 * * [simplify]: Extracting #8: cost 0 inf + 103696 69.192 * * [simplify]: Extracting #9: cost 0 inf + 103172 69.214 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) (sqrt (sqrt k))) 69.215 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) (sqrt (sqrt k))))) 69.215 * * * * [progress]: [ 183 / 217 ] simplifiying candidate # 69.215 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt 1)) 69.215 * * [simplify]: iters left: 6 (17 enodes) 69.226 * * [simplify]: iters left: 5 (71 enodes) 69.248 * * [simplify]: iters left: 4 (113 enodes) 69.285 * * [simplify]: iters left: 3 (187 enodes) 69.356 * * [simplify]: iters left: 2 (358 enodes) 69.460 * * [simplify]: Extracting #0: cost 1 inf + 0 69.460 * * [simplify]: Extracting #1: cost 22 inf + 0 69.460 * * [simplify]: Extracting #2: cost 91 inf + 2 69.461 * * [simplify]: Extracting #3: cost 169 inf + 7 69.461 * * [simplify]: Extracting #4: cost 189 inf + 306 69.463 * * [simplify]: Extracting #5: cost 155 inf + 5372 69.467 * * [simplify]: Extracting #6: cost 65 inf + 26735 69.476 * * [simplify]: Extracting #7: cost 11 inf + 66291 69.486 * * [simplify]: Extracting #8: cost 0 inf + 77833 69.505 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) 69.505 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt k)))) 69.506 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt k)) 69.506 * * [simplify]: iters left: 6 (16 enodes) 69.520 * * [simplify]: iters left: 5 (68 enodes) 69.539 * * [simplify]: iters left: 4 (112 enodes) 69.558 * * [simplify]: iters left: 3 (190 enodes) 69.612 * * [simplify]: iters left: 2 (367 enodes) 69.722 * * [simplify]: Extracting #0: cost 1 inf + 0 69.722 * * [simplify]: Extracting #1: cost 30 inf + 0 69.723 * * [simplify]: Extracting #2: cost 75 inf + 0 69.723 * * [simplify]: Extracting #3: cost 139 inf + 85 69.727 * * [simplify]: Extracting #4: cost 184 inf + 873 69.729 * * [simplify]: Extracting #5: cost 156 inf + 11800 69.737 * * [simplify]: Extracting #6: cost 47 inf + 72743 69.750 * * [simplify]: Extracting #7: cost 5 inf + 103036 69.765 * * [simplify]: Extracting #8: cost 0 inf + 106609 69.790 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt k)) 69.790 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt 1)) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt k)))) 69.791 * * * * [progress]: [ 184 / 217 ] simplifiying candidate # 69.791 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (sqrt k))) 69.791 * * [simplify]: iters left: 6 (17 enodes) 69.797 * * [simplify]: iters left: 5 (71 enodes) 69.809 * * [simplify]: iters left: 4 (115 enodes) 69.834 * * [simplify]: iters left: 3 (193 enodes) 69.878 * * [simplify]: iters left: 2 (371 enodes) 70.007 * * [simplify]: Extracting #0: cost 1 inf + 0 70.007 * * [simplify]: Extracting #1: cost 30 inf + 0 70.008 * * [simplify]: Extracting #2: cost 73 inf + 0 70.008 * * [simplify]: Extracting #3: cost 145 inf + 2 70.009 * * [simplify]: Extracting #4: cost 192 inf + 177 70.013 * * [simplify]: Extracting #5: cost 166 inf + 9190 70.025 * * [simplify]: Extracting #6: cost 68 inf + 48156 70.049 * * [simplify]: Extracting #7: cost 3 inf + 101239 70.070 * * [simplify]: Extracting #8: cost 0 inf + 103696 70.083 * * [simplify]: Extracting #9: cost 0 inf + 103172 70.097 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) (sqrt (sqrt k))) 70.097 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) (sqrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (sqrt k))))) 70.097 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (sqrt k))) 70.098 * * [simplify]: iters left: 6 (17 enodes) 70.104 * * [simplify]: iters left: 5 (71 enodes) 70.128 * * [simplify]: iters left: 4 (115 enodes) 70.150 * * [simplify]: iters left: 3 (193 enodes) 70.213 * * [simplify]: iters left: 2 (371 enodes) 70.305 * * [simplify]: Extracting #0: cost 1 inf + 0 70.305 * * [simplify]: Extracting #1: cost 30 inf + 0 70.305 * * [simplify]: Extracting #2: cost 73 inf + 0 70.306 * * [simplify]: Extracting #3: cost 145 inf + 2 70.307 * * [simplify]: Extracting #4: cost 192 inf + 177 70.311 * * [simplify]: Extracting #5: cost 166 inf + 9190 70.322 * * [simplify]: Extracting #6: cost 68 inf + 48156 70.334 * * [simplify]: Extracting #7: cost 3 inf + 101239 70.348 * * [simplify]: Extracting #8: cost 0 inf + 103696 70.370 * * [simplify]: Extracting #9: cost 0 inf + 103172 70.383 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) (sqrt (sqrt k))) 70.384 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) (sqrt (sqrt k))))) 70.384 * * * * [progress]: [ 185 / 217 ] simplifiying candidate # 70.384 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) 1) 70.384 * * [simplify]: iters left: 6 (16 enodes) 70.389 * * [simplify]: iters left: 5 (66 enodes) 70.407 * * [simplify]: iters left: 4 (110 enodes) 70.436 * * [simplify]: iters left: 3 (188 enodes) 70.478 * * [simplify]: iters left: 2 (367 enodes) 70.595 * * [simplify]: Extracting #0: cost 1 inf + 0 70.596 * * [simplify]: Extracting #1: cost 33 inf + 0 70.596 * * [simplify]: Extracting #2: cost 108 inf + 2 70.597 * * [simplify]: Extracting #3: cost 191 inf + 7 70.599 * * [simplify]: Extracting #4: cost 213 inf + 181 70.601 * * [simplify]: Extracting #5: cost 173 inf + 6653 70.611 * * [simplify]: Extracting #6: cost 78 inf + 38422 70.628 * * [simplify]: Extracting #7: cost 13 inf + 90169 70.642 * * [simplify]: Extracting #8: cost 0 inf + 100664 70.667 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) 70.667 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt k)))) 70.668 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt k)) 70.668 * * [simplify]: iters left: 6 (16 enodes) 70.677 * * [simplify]: iters left: 5 (68 enodes) 70.689 * * [simplify]: iters left: 4 (112 enodes) 70.714 * * [simplify]: iters left: 3 (190 enodes) 70.766 * * [simplify]: iters left: 2 (367 enodes) 70.858 * * [simplify]: Extracting #0: cost 1 inf + 0 70.858 * * [simplify]: Extracting #1: cost 30 inf + 0 70.858 * * [simplify]: Extracting #2: cost 75 inf + 0 70.859 * * [simplify]: Extracting #3: cost 139 inf + 85 70.861 * * [simplify]: Extracting #4: cost 184 inf + 873 70.869 * * [simplify]: Extracting #5: cost 156 inf + 11800 70.883 * * [simplify]: Extracting #6: cost 47 inf + 72743 70.896 * * [simplify]: Extracting #7: cost 5 inf + 103036 70.912 * * [simplify]: Extracting #8: cost 0 inf + 106609 70.940 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt k)) 70.940 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt k)))) 70.940 * * * * [progress]: [ 186 / 217 ] simplifiying candidate # 70.940 * * * * [progress]: [ 187 / 217 ] simplifiying candidate # 70.941 * * * * [progress]: [ 188 / 217 ] simplifiying candidate # 70.941 * * * * [progress]: [ 189 / 217 ] simplifiying candidate # 70.941 * [simplify]: Simplifying (cbrt (sqrt k)) 70.941 * * [simplify]: iters left: 2 (3 enodes) 70.942 * * [simplify]: iters left: 1 (9 enodes) 70.945 * * [simplify]: Extracting #0: cost 1 inf + 0 70.945 * * [simplify]: Extracting #1: cost 3 inf + 0 70.945 * * [simplify]: Extracting #2: cost 5 inf + 0 70.945 * * [simplify]: Extracting #3: cost 4 inf + 1 70.945 * * [simplify]: Extracting #4: cost 0 inf + 325 70.945 * [simplify]: Simplified to (cbrt (sqrt k)) 70.945 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 70.945 * * * * [progress]: [ 190 / 217 ] simplifiying candidate # 70.945 * [simplify]: Simplifying (sqrt (cbrt k)) 70.945 * * [simplify]: iters left: 2 (3 enodes) 70.946 * * [simplify]: iters left: 1 (9 enodes) 70.947 * * [simplify]: Extracting #0: cost 1 inf + 0 70.947 * * [simplify]: Extracting #1: cost 3 inf + 0 70.947 * * [simplify]: Extracting #2: cost 5 inf + 0 70.947 * * [simplify]: Extracting #3: cost 4 inf + 1 70.947 * * [simplify]: Extracting #4: cost 0 inf + 405 70.947 * [simplify]: Simplified to (sqrt (cbrt k)) 70.947 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) 70.947 * * * * [progress]: [ 191 / 217 ] simplifiying candidate # 70.947 * [simplify]: Simplifying (sqrt (sqrt k)) 70.948 * * [simplify]: iters left: 2 (3 enodes) 70.948 * * [simplify]: iters left: 1 (9 enodes) 70.949 * * [simplify]: Extracting #0: cost 1 inf + 0 70.949 * * [simplify]: Extracting #1: cost 3 inf + 0 70.949 * * [simplify]: Extracting #2: cost 5 inf + 0 70.949 * * [simplify]: Extracting #3: cost 4 inf + 1 70.949 * * [simplify]: Extracting #4: cost 0 inf + 245 70.949 * [simplify]: Simplified to (sqrt (sqrt k)) 70.950 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 70.950 * * * * [progress]: [ 192 / 217 ] simplifiying candidate # 70.950 * [simplify]: Simplifying (sqrt k) 70.950 * * [simplify]: iters left: 1 (2 enodes) 70.950 * * [simplify]: Extracting #0: cost 1 inf + 0 70.950 * * [simplify]: Extracting #1: cost 3 inf + 0 70.950 * * [simplify]: Extracting #2: cost 2 inf + 1 70.950 * * [simplify]: Extracting #3: cost 0 inf + 83 70.950 * [simplify]: Simplified to (sqrt k) 70.950 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt 1)) (sqrt k))) 70.950 * * * * [progress]: [ 193 / 217 ] simplifiying candidate # 70.951 * [simplify]: Simplifying (sqrt (sqrt k)) 70.951 * * [simplify]: iters left: 2 (3 enodes) 70.951 * * [simplify]: iters left: 1 (9 enodes) 70.952 * * [simplify]: Extracting #0: cost 1 inf + 0 70.952 * * [simplify]: Extracting #1: cost 3 inf + 0 70.952 * * [simplify]: Extracting #2: cost 5 inf + 0 70.952 * * [simplify]: Extracting #3: cost 4 inf + 1 70.953 * * [simplify]: Extracting #4: cost 0 inf + 245 70.953 * [simplify]: Simplified to (sqrt (sqrt k)) 70.953 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 70.953 * * * * [progress]: [ 194 / 217 ] simplifiying candidate # 70.953 * [simplify]: Simplifying (sqrt k) 70.953 * * [simplify]: iters left: 1 (2 enodes) 70.953 * * [simplify]: Extracting #0: cost 1 inf + 0 70.953 * * [simplify]: Extracting #1: cost 3 inf + 0 70.953 * * [simplify]: Extracting #2: cost 2 inf + 1 70.953 * * [simplify]: Extracting #3: cost 0 inf + 83 70.953 * [simplify]: Simplified to (sqrt k) 70.953 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 1) (sqrt k))) 70.954 * * * * [progress]: [ 195 / 217 ] simplifiying candidate # 70.954 * [simplify]: Simplifying (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 70.954 * * [simplify]: iters left: 6 (11 enodes) 70.957 * * [simplify]: iters left: 5 (46 enodes) 70.966 * * [simplify]: iters left: 4 (80 enodes) 70.985 * * [simplify]: iters left: 3 (135 enodes) 71.035 * * [simplify]: iters left: 2 (262 enodes) 71.141 * * [simplify]: Extracting #0: cost 1 inf + 0 71.142 * * [simplify]: Extracting #1: cost 14 inf + 0 71.142 * * [simplify]: Extracting #2: cost 66 inf + 1 71.142 * * [simplify]: Extracting #3: cost 127 inf + 6 71.143 * * [simplify]: Extracting #4: cost 147 inf + 11 71.143 * * [simplify]: Extracting #5: cost 138 inf + 1287 71.145 * * [simplify]: Extracting #6: cost 63 inf + 18963 71.150 * * [simplify]: Extracting #7: cost 21 inf + 37871 71.157 * * [simplify]: Extracting #8: cost 0 inf + 56654 71.164 * * [simplify]: Extracting #9: cost 0 inf + 56392 71.173 * [simplify]: Simplified to (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 71.173 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 71.174 * * * * [progress]: [ 196 / 217 ] simplifiying candidate # 71.174 * [simplify]: Simplifying (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) 71.174 * * [simplify]: iters left: 6 (16 enodes) 71.183 * * [simplify]: iters left: 5 (65 enodes) 71.204 * * [simplify]: iters left: 4 (103 enodes) 71.244 * * [simplify]: iters left: 3 (168 enodes) 71.305 * * [simplify]: iters left: 2 (313 enodes) 71.401 * * [simplify]: Extracting #0: cost 1 inf + 0 71.401 * * [simplify]: Extracting #1: cost 13 inf + 0 71.402 * * [simplify]: Extracting #2: cost 57 inf + 1 71.402 * * [simplify]: Extracting #3: cost 91 inf + 6 71.403 * * [simplify]: Extracting #4: cost 108 inf + 10 71.404 * * [simplify]: Extracting #5: cost 144 inf + 134 71.405 * * [simplify]: Extracting #6: cost 119 inf + 5834 71.409 * * [simplify]: Extracting #7: cost 50 inf + 27411 71.418 * * [simplify]: Extracting #8: cost 6 inf + 63479 71.428 * * [simplify]: Extracting #9: cost 0 inf + 68794 71.443 * [simplify]: Simplified to (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) 71.443 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))))) 71.443 * * * * [progress]: [ 197 / 217 ] simplifiying candidate # 71.443 * [simplify]: Simplifying (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 71.443 * * [simplify]: iters left: 6 (15 enodes) 71.452 * * [simplify]: iters left: 5 (62 enodes) 71.472 * * [simplify]: iters left: 4 (101 enodes) 71.512 * * [simplify]: iters left: 3 (167 enodes) 71.575 * * [simplify]: iters left: 2 (315 enodes) 71.669 * * [simplify]: Extracting #0: cost 1 inf + 0 71.669 * * [simplify]: Extracting #1: cost 14 inf + 0 71.669 * * [simplify]: Extracting #2: cost 59 inf + 1 71.669 * * [simplify]: Extracting #3: cost 106 inf + 6 71.670 * * [simplify]: Extracting #4: cost 152 inf + 10 71.671 * * [simplify]: Extracting #5: cost 158 inf + 359 71.673 * * [simplify]: Extracting #6: cost 72 inf + 25399 71.681 * * [simplify]: Extracting #7: cost 5 inf + 61902 71.691 * * [simplify]: Extracting #8: cost 0 inf + 64859 71.709 * [simplify]: Simplified to (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 71.709 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))))) 71.710 * * * * [progress]: [ 198 / 217 ] simplifiying candidate # 71.710 * [simplify]: Simplifying (pow 1 (/ (- 1 (sqrt k)) 2)) 71.710 * * [simplify]: iters left: 6 (7 enodes) 71.715 * * [simplify]: iters left: 5 (27 enodes) 71.724 * * [simplify]: iters left: 4 (36 enodes) 71.735 * * [simplify]: Extracting #0: cost 1 inf + 0 71.735 * * [simplify]: Extracting #1: cost 0 inf + 1 71.735 * [simplify]: Simplified to 1 71.735 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 71.735 * * * * [progress]: [ 199 / 217 ] simplifiying candidate # 71.736 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) 71.736 * * [simplify]: iters left: 6 (15 enodes) 71.740 * * [simplify]: iters left: 5 (64 enodes) 71.751 * * [simplify]: iters left: 4 (107 enodes) 71.779 * * [simplify]: iters left: 3 (172 enodes) 71.837 * * [simplify]: iters left: 2 (308 enodes) 71.947 * * [simplify]: Extracting #0: cost 1 inf + 0 71.947 * * [simplify]: Extracting #1: cost 13 inf + 0 71.948 * * [simplify]: Extracting #2: cost 65 inf + 1 71.948 * * [simplify]: Extracting #3: cost 139 inf + 5 71.948 * * [simplify]: Extracting #4: cost 163 inf + 137 71.949 * * [simplify]: Extracting #5: cost 156 inf + 677 71.951 * * [simplify]: Extracting #6: cost 90 inf + 10197 71.956 * * [simplify]: Extracting #7: cost 37 inf + 36450 71.978 * * [simplify]: Extracting #8: cost 1 inf + 71295 71.998 * * [simplify]: Extracting #9: cost 0 inf + 71579 72.010 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 72.010 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))))) 72.010 * * * * [progress]: [ 200 / 217 ] simplifiying candidate # 72.010 * [simplify]: Simplifying (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 72.010 * * [simplify]: iters left: 6 (16 enodes) 72.015 * * [simplify]: iters left: 5 (65 enodes) 72.025 * * [simplify]: iters left: 4 (103 enodes) 72.055 * * [simplify]: iters left: 3 (168 enodes) 72.105 * * [simplify]: iters left: 2 (313 enodes) 72.225 * * [simplify]: Extracting #0: cost 1 inf + 0 72.225 * * [simplify]: Extracting #1: cost 3 inf + 0 72.225 * * [simplify]: Extracting #2: cost 5 inf + 0 72.225 * * [simplify]: Extracting #3: cost 17 inf + 0 72.225 * * [simplify]: Extracting #4: cost 70 inf + 1 72.226 * * [simplify]: Extracting #5: cost 140 inf + 6 72.227 * * [simplify]: Extracting #6: cost 160 inf + 220 72.228 * * [simplify]: Extracting #7: cost 154 inf + 636 72.232 * * [simplify]: Extracting #8: cost 89 inf + 13242 72.245 * * [simplify]: Extracting #9: cost 18 inf + 51492 72.262 * * [simplify]: Extracting #10: cost 0 inf + 65081 72.280 * * [simplify]: Extracting #11: cost 0 inf + 64910 72.297 * [simplify]: Simplified to (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 72.297 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 72.297 * * * * [progress]: [ 201 / 217 ] simplifiying candidate # 72.298 * [simplify]: Simplifying (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 72.298 * * [simplify]: iters left: 6 (15 enodes) 72.306 * * [simplify]: iters left: 5 (62 enodes) 72.325 * * [simplify]: iters left: 4 (101 enodes) 72.341 * * [simplify]: iters left: 3 (167 enodes) 72.384 * * [simplify]: iters left: 2 (315 enodes) 72.464 * * [simplify]: Extracting #0: cost 1 inf + 0 72.464 * * [simplify]: Extracting #1: cost 4 inf + 0 72.464 * * [simplify]: Extracting #2: cost 21 inf + 0 72.464 * * [simplify]: Extracting #3: cost 83 inf + 1 72.465 * * [simplify]: Extracting #4: cost 141 inf + 7 72.465 * * [simplify]: Extracting #5: cost 159 inf + 138 72.466 * * [simplify]: Extracting #6: cost 154 inf + 473 72.468 * * [simplify]: Extracting #7: cost 88 inf + 16025 72.480 * * [simplify]: Extracting #8: cost 10 inf + 56864 72.499 * * [simplify]: Extracting #9: cost 0 inf + 61769 72.518 * [simplify]: Simplified to (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))) 72.519 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 72.519 * * * * [progress]: [ 202 / 217 ] simplifiying candidate # 72.519 * * * * [progress]: [ 203 / 217 ] simplifiying candidate # 72.519 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) 72.520 * * [simplify]: iters left: 6 (15 enodes) 72.528 * * [simplify]: iters left: 5 (65 enodes) 72.549 * * [simplify]: iters left: 4 (107 enodes) 72.589 * * [simplify]: iters left: 3 (179 enodes) 72.655 * * [simplify]: iters left: 2 (343 enodes) 72.793 * * [simplify]: Extracting #0: cost 1 inf + 0 72.793 * * [simplify]: Extracting #1: cost 13 inf + 0 72.793 * * [simplify]: Extracting #2: cost 73 inf + 1 72.794 * * [simplify]: Extracting #3: cost 153 inf + 7 72.795 * * [simplify]: Extracting #4: cost 178 inf + 139 72.798 * * [simplify]: Extracting #5: cost 142 inf + 5535 72.805 * * [simplify]: Extracting #6: cost 62 inf + 23760 72.821 * * [simplify]: Extracting #7: cost 6 inf + 62094 72.831 * * [simplify]: Extracting #8: cost 0 inf + 66653 72.840 * * [simplify]: Extracting #9: cost 0 inf + 66523 72.854 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) 72.854 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))))) 72.854 * * * * [progress]: [ 204 / 217 ] simplifiying candidate # 72.854 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 2)) 72.854 * * [simplify]: iters left: 6 (13 enodes) 72.860 * * [simplify]: iters left: 5 (51 enodes) 72.874 * * [simplify]: iters left: 4 (87 enodes) 72.906 * * [simplify]: iters left: 3 (150 enodes) 72.962 * * [simplify]: iters left: 2 (282 enodes) 73.065 * * [simplify]: Extracting #0: cost 1 inf + 0 73.065 * * [simplify]: Extracting #1: cost 14 inf + 0 73.065 * * [simplify]: Extracting #2: cost 51 inf + 2 73.066 * * [simplify]: Extracting #3: cost 97 inf + 6 73.067 * * [simplify]: Extracting #4: cost 107 inf + 304 73.068 * * [simplify]: Extracting #5: cost 100 inf + 571 73.071 * * [simplify]: Extracting #6: cost 65 inf + 13852 73.078 * * [simplify]: Extracting #7: cost 26 inf + 32686 73.089 * * [simplify]: Extracting #8: cost 4 inf + 47606 73.102 * * [simplify]: Extracting #9: cost 0 inf + 50172 73.115 * * [simplify]: Extracting #10: cost 0 inf + 49911 73.122 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) 73.122 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt k) 2))))) 73.122 * * * * [progress]: [ 205 / 217 ] simplifiying candidate #real (real->posit16 (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))))> 73.122 * * * * [progress]: [ 206 / 217 ] simplifiying candidate # 73.122 * [simplify]: Simplifying (- (exp (+ (log n) (log (* 2 PI)))) (+ (* +nan.0 (* k (* (exp (+ (log n) (log (* 2 PI)))) (log (* 2 PI))))) (- (+ (* +nan.0 (* k (* (log n) (exp (+ (log n) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (log n) (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2))))) (- (+ (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (pow (log n) 2) (pow k 2))))))))))))))))) 73.122 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow +nan.0 (/ (- 1 (sqrt k)) 2)) (sqrt k))) 73.123 * * * * [progress]: [ 207 / 217 ] simplifiying candidate # 73.123 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 73.123 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow +nan.0 (/ (- 1 (sqrt k)) 2)) (sqrt k))) 73.123 * * * * [progress]: [ 208 / 217 ] simplifiying candidate # 73.124 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 73.124 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow +nan.0 (/ (- 1 (sqrt k)) 2)) (sqrt k))) 73.124 * * * * [progress]: [ 209 / 217 ] simplifiying candidate # 73.124 * [simplify]: Simplifying (- (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* +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 (* (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 (* (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)))))))))))))))) 73.124 * [simplify]: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt k))) 73.125 * * * * [progress]: [ 210 / 217 ] simplifiying candidate # 73.125 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 73.125 * [simplify]: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt k))) 73.125 * * * * [progress]: [ 211 / 217 ] simplifiying candidate # 73.126 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 73.126 * [simplify]: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt k))) 73.126 * * * * [progress]: [ 212 / 217 ] simplifiying candidate # 73.126 * [simplify]: Simplifying (* 2 (* n PI)) 73.126 * * [simplify]: iters left: 4 (5 enodes) 73.131 * * [simplify]: iters left: 3 (19 enodes) 73.134 * * [simplify]: iters left: 2 (27 enodes) 73.138 * * [simplify]: iters left: 1 (32 enodes) 73.143 * * [simplify]: Extracting #0: cost 1 inf + 0 73.143 * * [simplify]: Extracting #1: cost 8 inf + 0 73.143 * * [simplify]: Extracting #2: cost 7 inf + 45 73.143 * * [simplify]: Extracting #3: cost 0 inf + 421 73.143 * [simplify]: Simplified to (* (* PI n) 2) 73.143 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 73.143 * * * * [progress]: [ 213 / 217 ] simplifiying candidate # 73.143 * [simplify]: Simplifying (* 2 (* n PI)) 73.143 * * [simplify]: iters left: 4 (5 enodes) 73.145 * * [simplify]: iters left: 3 (19 enodes) 73.152 * * [simplify]: iters left: 2 (27 enodes) 73.161 * * [simplify]: iters left: 1 (32 enodes) 73.169 * * [simplify]: Extracting #0: cost 1 inf + 0 73.169 * * [simplify]: Extracting #1: cost 8 inf + 0 73.169 * * [simplify]: Extracting #2: cost 7 inf + 45 73.169 * * [simplify]: Extracting #3: cost 0 inf + 421 73.170 * [simplify]: Simplified to (* (* PI n) 2) 73.170 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 73.170 * * * * [progress]: [ 214 / 217 ] simplifiying candidate # 73.170 * [simplify]: Simplifying (* 2 (* n PI)) 73.170 * * [simplify]: iters left: 4 (5 enodes) 73.173 * * [simplify]: iters left: 3 (19 enodes) 73.179 * * [simplify]: iters left: 2 (27 enodes) 73.184 * * [simplify]: iters left: 1 (32 enodes) 73.188 * * [simplify]: Extracting #0: cost 1 inf + 0 73.188 * * [simplify]: Extracting #1: cost 8 inf + 0 73.188 * * [simplify]: Extracting #2: cost 7 inf + 45 73.189 * * [simplify]: Extracting #3: cost 0 inf + 421 73.189 * [simplify]: Simplified to (* (* PI n) 2) 73.189 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 73.189 * * * * [progress]: [ 215 / 217 ] simplifiying candidate # 73.189 * [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)))))))))))))))))))))) 73.189 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 73.190 * * * * [progress]: [ 216 / 217 ] simplifiying candidate # 73.190 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) k)) (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 3)))))))))))))))))))))) 73.190 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 73.190 * * * * [progress]: [ 217 / 217 ] simplifiying candidate # 73.191 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))))))))) 73.191 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 73.191 * * * [progress]: adding candidates to table 76.165 * * [progress]: iteration 3 / 4 76.165 * * * [progress]: picking best candidate 76.232 * * * * [pick]: Picked # 76.232 * * * [progress]: localizing error 76.299 * * * [progress]: generating rewritten candidates 76.299 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 76.333 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 76.345 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 76.365 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 76.397 * * * [progress]: generating series expansions 76.397 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 76.399 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) into (pow (* 2 (* n PI)) (+ (sqrt k) 1)) 76.399 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in (n k) around 0 76.399 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 76.399 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 76.399 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 76.399 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 76.399 * [taylor]: Taking taylor expansion of (sqrt k) in k 76.399 * [taylor]: Taking taylor expansion of k in k 76.399 * [backup-simplify]: Simplify 0 into 0 76.399 * [backup-simplify]: Simplify 1 into 1 76.400 * [backup-simplify]: Simplify (sqrt 0) into 0 76.401 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 76.401 * [taylor]: Taking taylor expansion of 1 in k 76.401 * [backup-simplify]: Simplify 1 into 1 76.401 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 76.401 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 76.401 * [taylor]: Taking taylor expansion of 2 in k 76.401 * [backup-simplify]: Simplify 2 into 2 76.402 * [taylor]: Taking taylor expansion of (* n PI) in k 76.402 * [taylor]: Taking taylor expansion of n in k 76.402 * [backup-simplify]: Simplify n into n 76.402 * [taylor]: Taking taylor expansion of PI in k 76.402 * [backup-simplify]: Simplify PI into PI 76.402 * [backup-simplify]: Simplify (* n PI) into (* n PI) 76.402 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 76.402 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 76.402 * [backup-simplify]: Simplify (+ 0 1) into 1 76.403 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 76.403 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 76.403 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 76.403 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 76.403 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 76.403 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 76.403 * [taylor]: Taking taylor expansion of (sqrt k) in n 76.403 * [taylor]: Taking taylor expansion of k in n 76.403 * [backup-simplify]: Simplify k into k 76.403 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 76.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 76.403 * [taylor]: Taking taylor expansion of 1 in n 76.403 * [backup-simplify]: Simplify 1 into 1 76.403 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 76.403 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 76.403 * [taylor]: Taking taylor expansion of 2 in n 76.403 * [backup-simplify]: Simplify 2 into 2 76.403 * [taylor]: Taking taylor expansion of (* n PI) in n 76.403 * [taylor]: Taking taylor expansion of n in n 76.403 * [backup-simplify]: Simplify 0 into 0 76.403 * [backup-simplify]: Simplify 1 into 1 76.403 * [taylor]: Taking taylor expansion of PI in n 76.403 * [backup-simplify]: Simplify PI into PI 76.404 * [backup-simplify]: Simplify (* 0 PI) into 0 76.404 * [backup-simplify]: Simplify (* 2 0) into 0 76.406 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 76.407 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 76.408 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 76.408 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 76.410 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 76.411 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 76.412 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 76.412 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 76.412 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 76.412 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 76.412 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 76.412 * [taylor]: Taking taylor expansion of (sqrt k) in n 76.412 * [taylor]: Taking taylor expansion of k in n 76.412 * [backup-simplify]: Simplify k into k 76.412 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 76.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 76.413 * [taylor]: Taking taylor expansion of 1 in n 76.413 * [backup-simplify]: Simplify 1 into 1 76.413 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 76.413 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 76.413 * [taylor]: Taking taylor expansion of 2 in n 76.413 * [backup-simplify]: Simplify 2 into 2 76.413 * [taylor]: Taking taylor expansion of (* n PI) in n 76.413 * [taylor]: Taking taylor expansion of n in n 76.413 * [backup-simplify]: Simplify 0 into 0 76.413 * [backup-simplify]: Simplify 1 into 1 76.413 * [taylor]: Taking taylor expansion of PI in n 76.413 * [backup-simplify]: Simplify PI into PI 76.413 * [backup-simplify]: Simplify (* 0 PI) into 0 76.414 * [backup-simplify]: Simplify (* 2 0) into 0 76.415 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 76.417 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 76.418 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 76.418 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 76.419 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 76.420 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 76.421 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 76.421 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) in k 76.421 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) in k 76.422 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 76.422 * [taylor]: Taking taylor expansion of (sqrt k) in k 76.422 * [taylor]: Taking taylor expansion of k in k 76.422 * [backup-simplify]: Simplify 0 into 0 76.422 * [backup-simplify]: Simplify 1 into 1 76.422 * [backup-simplify]: Simplify (sqrt 0) into 0 76.423 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 76.423 * [taylor]: Taking taylor expansion of 1 in k 76.423 * [backup-simplify]: Simplify 1 into 1 76.423 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 76.423 * [taylor]: Taking taylor expansion of (log n) in k 76.423 * [taylor]: Taking taylor expansion of n in k 76.424 * [backup-simplify]: Simplify n into n 76.424 * [backup-simplify]: Simplify (log n) into (log n) 76.424 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 76.424 * [taylor]: Taking taylor expansion of (* 2 PI) in k 76.424 * [taylor]: Taking taylor expansion of 2 in k 76.424 * [backup-simplify]: Simplify 2 into 2 76.424 * [taylor]: Taking taylor expansion of PI in k 76.424 * [backup-simplify]: Simplify PI into PI 76.424 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 76.425 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 76.426 * [backup-simplify]: Simplify (+ 0 1) into 1 76.427 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 76.428 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 76.803 * [backup-simplify]: Simplify (exp (+ (log n) (log (* 2 PI)))) into (exp (+ (log n) (log (* 2 PI)))) 76.805 * [backup-simplify]: Simplify (exp (+ (log n) (log (* 2 PI)))) into (exp (+ (log n) (log (* 2 PI)))) 76.806 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 76.807 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 76.809 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 76.809 * [backup-simplify]: Simplify (+ 0 0) into 0 76.810 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 76.812 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 76.813 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 76.813 * [taylor]: Taking taylor expansion of 0 in k 76.813 * [backup-simplify]: Simplify 0 into 0 76.813 * [backup-simplify]: Simplify 0 into 0 76.814 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 76.814 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 76.815 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 76.815 * [backup-simplify]: Simplify (+ 0 0) into 0 76.816 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 76.817 * [backup-simplify]: Simplify (+ (* 1 0) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 76.819 * [backup-simplify]: Simplify (* (exp (+ (log n) (log (* 2 PI)))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI)))))) 76.821 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI)))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI))))) 76.821 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 76.822 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 76.824 * [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 76.824 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 76.825 * [backup-simplify]: Simplify (+ 0 0) into 0 76.825 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 76.826 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 76.828 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 76.828 * [taylor]: Taking taylor expansion of 0 in k 76.828 * [backup-simplify]: Simplify 0 into 0 76.828 * [backup-simplify]: Simplify 0 into 0 76.828 * [backup-simplify]: Simplify 0 into 0 76.829 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 76.830 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 76.831 * [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 76.832 * [backup-simplify]: Simplify (+ 0 0) into 0 76.834 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 76.834 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 76.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 76.839 * [backup-simplify]: Simplify (* (exp (+ (log n) (log (* 2 PI)))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (+ (log n) (log (* 2 PI)))))) 76.843 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (+ (log n) (log (* 2 PI)))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (+ (log n) (log (* 2 PI))))) 76.853 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (+ (log n) (log (* 2 PI))))) (pow (* k 1) 2)) (+ (* (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI))))) (* k 1)) (exp (+ (log n) (log (* 2 PI)))))) into (- (exp (+ (log n) (log (* 2 PI)))) (+ (* +nan.0 (* k (* (exp (+ (log n) (log (* 2 PI)))) (log (* 2 PI))))) (- (+ (* +nan.0 (* k (* (log n) (exp (+ (log n) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (log n) (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2))))) (- (+ (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (pow (log n) 2) (pow k 2))))))))))))))))) 76.853 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 k))) 1)) into (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) 76.853 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in (n k) around 0 76.853 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 76.853 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 76.853 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 76.853 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 76.853 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 76.853 * [taylor]: Taking taylor expansion of (/ 1 k) in k 76.853 * [taylor]: Taking taylor expansion of k in k 76.853 * [backup-simplify]: Simplify 0 into 0 76.853 * [backup-simplify]: Simplify 1 into 1 76.854 * [backup-simplify]: Simplify (/ 1 1) into 1 76.854 * [backup-simplify]: Simplify (sqrt 0) into 0 76.855 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 76.855 * [taylor]: Taking taylor expansion of 1 in k 76.855 * [backup-simplify]: Simplify 1 into 1 76.855 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 76.855 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 76.855 * [taylor]: Taking taylor expansion of 2 in k 76.855 * [backup-simplify]: Simplify 2 into 2 76.855 * [taylor]: Taking taylor expansion of (/ PI n) in k 76.855 * [taylor]: Taking taylor expansion of PI in k 76.855 * [backup-simplify]: Simplify PI into PI 76.855 * [taylor]: Taking taylor expansion of n in k 76.855 * [backup-simplify]: Simplify n into n 76.855 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 76.855 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 76.855 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 76.855 * [backup-simplify]: Simplify (+ 0 0) into 0 76.855 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 76.856 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 76.856 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 76.856 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 76.857 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 76.857 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 76.857 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 76.857 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 76.857 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 76.857 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 76.857 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 76.857 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 76.857 * [taylor]: Taking taylor expansion of (/ 1 k) in n 76.857 * [taylor]: Taking taylor expansion of k in n 76.857 * [backup-simplify]: Simplify k into k 76.858 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 76.858 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 76.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 76.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 76.858 * [taylor]: Taking taylor expansion of 1 in n 76.858 * [backup-simplify]: Simplify 1 into 1 76.858 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 76.858 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 76.858 * [taylor]: Taking taylor expansion of 2 in n 76.858 * [backup-simplify]: Simplify 2 into 2 76.858 * [taylor]: Taking taylor expansion of (/ PI n) in n 76.858 * [taylor]: Taking taylor expansion of PI in n 76.858 * [backup-simplify]: Simplify PI into PI 76.858 * [taylor]: Taking taylor expansion of n in n 76.858 * [backup-simplify]: Simplify 0 into 0 76.858 * [backup-simplify]: Simplify 1 into 1 76.858 * [backup-simplify]: Simplify (/ PI 1) into PI 76.858 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 76.859 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 76.859 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 76.860 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 76.861 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 76.861 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 76.861 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 76.861 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 76.861 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 76.861 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 76.861 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 76.861 * [taylor]: Taking taylor expansion of (/ 1 k) in n 76.861 * [taylor]: Taking taylor expansion of k in n 76.861 * [backup-simplify]: Simplify k into k 76.861 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 76.862 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 76.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 76.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 76.862 * [taylor]: Taking taylor expansion of 1 in n 76.862 * [backup-simplify]: Simplify 1 into 1 76.862 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 76.862 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 76.862 * [taylor]: Taking taylor expansion of 2 in n 76.862 * [backup-simplify]: Simplify 2 into 2 76.862 * [taylor]: Taking taylor expansion of (/ PI n) in n 76.862 * [taylor]: Taking taylor expansion of PI in n 76.862 * [backup-simplify]: Simplify PI into PI 76.862 * [taylor]: Taking taylor expansion of n in n 76.862 * [backup-simplify]: Simplify 0 into 0 76.862 * [backup-simplify]: Simplify 1 into 1 76.863 * [backup-simplify]: Simplify (/ PI 1) into PI 76.863 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 76.864 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 76.864 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 76.865 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 76.866 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 76.866 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 76.866 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) in k 76.867 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) in k 76.867 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 76.867 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 76.867 * [taylor]: Taking taylor expansion of (/ 1 k) in k 76.867 * [taylor]: Taking taylor expansion of k in k 76.867 * [backup-simplify]: Simplify 0 into 0 76.867 * [backup-simplify]: Simplify 1 into 1 76.867 * [backup-simplify]: Simplify (/ 1 1) into 1 76.867 * [backup-simplify]: Simplify (sqrt 0) into 0 76.868 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 76.868 * [taylor]: Taking taylor expansion of 1 in k 76.868 * [backup-simplify]: Simplify 1 into 1 76.868 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 76.868 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 76.868 * [taylor]: Taking taylor expansion of (* 2 PI) in k 76.868 * [taylor]: Taking taylor expansion of 2 in k 76.868 * [backup-simplify]: Simplify 2 into 2 76.868 * [taylor]: Taking taylor expansion of PI in k 76.868 * [backup-simplify]: Simplify PI into PI 76.868 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 76.869 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 76.869 * [taylor]: Taking taylor expansion of (log n) in k 76.869 * [taylor]: Taking taylor expansion of n in k 76.869 * [backup-simplify]: Simplify n into n 76.869 * [backup-simplify]: Simplify (log n) into (log n) 76.870 * [backup-simplify]: Simplify (+ 0 0) into 0 76.870 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 76.871 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 76.872 * [backup-simplify]: Simplify (* 0 (- (log (* 2 PI)) (log n))) into 0 76.872 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 76.874 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 76.875 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 76.875 * [backup-simplify]: Simplify (- 0) into 0 76.876 * [backup-simplify]: Simplify (+ 0 0) into 0 76.876 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 76.878 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 76.880 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 76.883 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 76.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 76.885 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 76.886 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 76.887 * [backup-simplify]: Simplify (+ 0 0) into 0 76.888 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 76.889 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 76.891 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 76.891 * [taylor]: Taking taylor expansion of 0 in k 76.891 * [backup-simplify]: Simplify 0 into 0 76.891 * [backup-simplify]: Simplify 0 into 0 76.892 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 76.896 * [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 76.897 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 76.898 * [backup-simplify]: Simplify (- 0) into 0 76.898 * [backup-simplify]: Simplify (+ 0 0) into 0 76.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 76.902 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 76.902 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 76.905 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 76.917 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 76.922 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 76.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 76.924 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 76.927 * [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 76.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 76.928 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 76.929 * [backup-simplify]: Simplify (+ 0 0) into 0 76.930 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 76.931 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 76.934 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 76.934 * [taylor]: Taking taylor expansion of 0 in k 76.934 * [backup-simplify]: Simplify 0 into 0 76.934 * [backup-simplify]: Simplify 0 into 0 76.934 * [backup-simplify]: Simplify 0 into 0 76.935 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 76.941 * [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 76.944 * [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 76.944 * [backup-simplify]: Simplify (- 0) into 0 76.945 * [backup-simplify]: Simplify (+ 0 0) into 0 76.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 76.950 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 76.950 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 76.954 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 76.961 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 76.969 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 76.989 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log (/ 1 n)) 2)) (- (+ (* +nan.0 (* (log (/ 1 n)) (log (* 2 PI)))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 2)) (+ (* (* (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (* (/ 1 k) 1)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 76.990 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 (- k)))) 1)) into (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) 76.990 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in (n k) around 0 76.990 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 76.990 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 76.990 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 76.990 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 76.990 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 76.990 * [taylor]: Taking taylor expansion of (/ -1 k) in k 76.990 * [taylor]: Taking taylor expansion of -1 in k 76.990 * [backup-simplify]: Simplify -1 into -1 76.990 * [taylor]: Taking taylor expansion of k in k 76.990 * [backup-simplify]: Simplify 0 into 0 76.990 * [backup-simplify]: Simplify 1 into 1 76.990 * [backup-simplify]: Simplify (/ -1 1) into -1 76.991 * [backup-simplify]: Simplify (sqrt 0) into 0 76.991 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 76.992 * [taylor]: Taking taylor expansion of 1 in k 76.992 * [backup-simplify]: Simplify 1 into 1 76.992 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 76.992 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 76.992 * [taylor]: Taking taylor expansion of -2 in k 76.992 * [backup-simplify]: Simplify -2 into -2 76.992 * [taylor]: Taking taylor expansion of (/ PI n) in k 76.992 * [taylor]: Taking taylor expansion of PI in k 76.992 * [backup-simplify]: Simplify PI into PI 76.992 * [taylor]: Taking taylor expansion of n in k 76.992 * [backup-simplify]: Simplify n into n 76.992 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 76.992 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 76.992 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 76.992 * [backup-simplify]: Simplify (+ 0 0) into 0 76.992 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 76.992 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 76.993 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 76.993 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 76.993 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 76.994 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 76.994 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 76.994 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 76.994 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 76.994 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 76.994 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 76.994 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 76.994 * [taylor]: Taking taylor expansion of (/ -1 k) in n 76.994 * [taylor]: Taking taylor expansion of -1 in n 76.994 * [backup-simplify]: Simplify -1 into -1 76.994 * [taylor]: Taking taylor expansion of k in n 76.994 * [backup-simplify]: Simplify k into k 76.994 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 76.994 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 76.994 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 76.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 76.994 * [taylor]: Taking taylor expansion of 1 in n 76.994 * [backup-simplify]: Simplify 1 into 1 76.994 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 76.995 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 76.995 * [taylor]: Taking taylor expansion of -2 in n 76.995 * [backup-simplify]: Simplify -2 into -2 76.995 * [taylor]: Taking taylor expansion of (/ PI n) in n 76.995 * [taylor]: Taking taylor expansion of PI in n 76.995 * [backup-simplify]: Simplify PI into PI 76.995 * [taylor]: Taking taylor expansion of n in n 76.995 * [backup-simplify]: Simplify 0 into 0 76.995 * [backup-simplify]: Simplify 1 into 1 76.995 * [backup-simplify]: Simplify (/ PI 1) into PI 76.995 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 76.996 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 76.996 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 76.997 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 76.997 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 76.998 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 76.998 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 76.998 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 76.998 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 76.998 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 76.998 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 76.998 * [taylor]: Taking taylor expansion of (/ -1 k) in n 76.998 * [taylor]: Taking taylor expansion of -1 in n 76.998 * [backup-simplify]: Simplify -1 into -1 76.998 * [taylor]: Taking taylor expansion of k in n 76.998 * [backup-simplify]: Simplify k into k 76.998 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 76.998 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 76.999 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 76.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 76.999 * [taylor]: Taking taylor expansion of 1 in n 76.999 * [backup-simplify]: Simplify 1 into 1 76.999 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 76.999 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 76.999 * [taylor]: Taking taylor expansion of -2 in n 76.999 * [backup-simplify]: Simplify -2 into -2 76.999 * [taylor]: Taking taylor expansion of (/ PI n) in n 76.999 * [taylor]: Taking taylor expansion of PI in n 76.999 * [backup-simplify]: Simplify PI into PI 76.999 * [taylor]: Taking taylor expansion of n in n 76.999 * [backup-simplify]: Simplify 0 into 0 76.999 * [backup-simplify]: Simplify 1 into 1 76.999 * [backup-simplify]: Simplify (/ PI 1) into PI 76.999 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 77.000 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 77.000 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 77.001 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 77.001 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 77.002 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 77.002 * [taylor]: Taking taylor expansion of (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) in k 77.002 * [taylor]: Taking taylor expansion of (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) in k 77.002 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 77.002 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 77.002 * [taylor]: Taking taylor expansion of (* -2 PI) in k 77.002 * [taylor]: Taking taylor expansion of -2 in k 77.002 * [backup-simplify]: Simplify -2 into -2 77.002 * [taylor]: Taking taylor expansion of PI in k 77.002 * [backup-simplify]: Simplify PI into PI 77.003 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 77.003 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 77.003 * [taylor]: Taking taylor expansion of (log n) in k 77.003 * [taylor]: Taking taylor expansion of n in k 77.003 * [backup-simplify]: Simplify n into n 77.003 * [backup-simplify]: Simplify (log n) into (log n) 77.003 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 77.003 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 77.003 * [taylor]: Taking taylor expansion of (/ -1 k) in k 77.003 * [taylor]: Taking taylor expansion of -1 in k 77.003 * [backup-simplify]: Simplify -1 into -1 77.003 * [taylor]: Taking taylor expansion of k in k 77.003 * [backup-simplify]: Simplify 0 into 0 77.003 * [backup-simplify]: Simplify 1 into 1 77.004 * [backup-simplify]: Simplify (/ -1 1) into -1 77.004 * [backup-simplify]: Simplify (sqrt 0) into 0 77.005 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 77.005 * [taylor]: Taking taylor expansion of 1 in k 77.005 * [backup-simplify]: Simplify 1 into 1 77.005 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 77.005 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 77.006 * [backup-simplify]: Simplify (+ 0 0) into 0 77.006 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) 0) into 0 77.007 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 77.007 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 77.008 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 77.008 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 77.009 * [backup-simplify]: Simplify (- 0) into 0 77.009 * [backup-simplify]: Simplify (+ 0 0) into 0 77.010 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (* 0 0)) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 77.012 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 77.013 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 77.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 77.014 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 77.015 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 77.016 * [backup-simplify]: Simplify (+ 0 0) into 0 77.016 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 77.017 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 77.018 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 77.018 * [taylor]: Taking taylor expansion of 0 in k 77.018 * [backup-simplify]: Simplify 0 into 0 77.018 * [backup-simplify]: Simplify 0 into 0 77.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 77.021 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 77.021 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 77.021 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 77.023 * [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 77.024 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 77.025 * [backup-simplify]: Simplify (- 0) into 0 77.025 * [backup-simplify]: Simplify (+ 0 0) into 0 77.031 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 77.035 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 77.038 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 77.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.039 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 77.041 * [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 77.041 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 77.042 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 77.042 * [backup-simplify]: Simplify (+ 0 0) into 0 77.043 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 77.044 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 77.045 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 77.045 * [taylor]: Taking taylor expansion of 0 in k 77.045 * [backup-simplify]: Simplify 0 into 0 77.045 * [backup-simplify]: Simplify 0 into 0 77.045 * [backup-simplify]: Simplify 0 into 0 77.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.048 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 77.048 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 77.049 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 77.053 * [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 77.055 * [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 77.056 * [backup-simplify]: Simplify (- 0) into 0 77.056 * [backup-simplify]: Simplify (+ 0 0) into 0 77.058 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 77.066 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 77.074 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))) 77.091 * [backup-simplify]: Simplify (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log (/ 1 (- n))) 2)) (- (+ (* +nan.0 (* (log (/ 1 (- n))) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))) (* (/ 1 (- k)) 1)) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 77.091 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 77.092 * [backup-simplify]: Simplify (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) into (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) 77.092 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in (n k) around 0 77.092 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in k 77.092 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in k 77.092 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in k 77.092 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in k 77.092 * [taylor]: Taking taylor expansion of 1/2 in k 77.092 * [backup-simplify]: Simplify 1/2 into 1/2 77.092 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 77.092 * [taylor]: Taking taylor expansion of 1 in k 77.092 * [backup-simplify]: Simplify 1 into 1 77.092 * [taylor]: Taking taylor expansion of (sqrt k) in k 77.092 * [taylor]: Taking taylor expansion of k in k 77.092 * [backup-simplify]: Simplify 0 into 0 77.092 * [backup-simplify]: Simplify 1 into 1 77.092 * [backup-simplify]: Simplify (sqrt 0) into 0 77.094 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 77.094 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in k 77.094 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 77.094 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 77.094 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 77.094 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 77.094 * [taylor]: Taking taylor expansion of (sqrt k) in k 77.094 * [taylor]: Taking taylor expansion of k in k 77.094 * [backup-simplify]: Simplify 0 into 0 77.094 * [backup-simplify]: Simplify 1 into 1 77.094 * [backup-simplify]: Simplify (sqrt 0) into 0 77.095 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 77.095 * [taylor]: Taking taylor expansion of 1 in k 77.095 * [backup-simplify]: Simplify 1 into 1 77.096 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 77.096 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 77.096 * [taylor]: Taking taylor expansion of 2 in k 77.096 * [backup-simplify]: Simplify 2 into 2 77.096 * [taylor]: Taking taylor expansion of (* n PI) in k 77.096 * [taylor]: Taking taylor expansion of n in k 77.096 * [backup-simplify]: Simplify n into n 77.096 * [taylor]: Taking taylor expansion of PI in k 77.096 * [backup-simplify]: Simplify PI into PI 77.096 * [backup-simplify]: Simplify (* n PI) into (* n PI) 77.096 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 77.096 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 77.096 * [backup-simplify]: Simplify (+ 0 1) into 1 77.096 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 77.096 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 77.097 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 77.097 * [backup-simplify]: Simplify (- 0) into 0 77.097 * [backup-simplify]: Simplify (+ 1 0) into 1 77.098 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 77.098 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 77.098 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 77.098 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 77.098 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 77.098 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 77.098 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 77.098 * [taylor]: Taking taylor expansion of 1/2 in n 77.098 * [backup-simplify]: Simplify 1/2 into 1/2 77.098 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 77.098 * [taylor]: Taking taylor expansion of 1 in n 77.098 * [backup-simplify]: Simplify 1 into 1 77.098 * [taylor]: Taking taylor expansion of (sqrt k) in n 77.098 * [taylor]: Taking taylor expansion of k in n 77.098 * [backup-simplify]: Simplify k into k 77.098 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 77.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 77.099 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 77.099 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 77.099 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 77.099 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 77.099 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 77.099 * [taylor]: Taking taylor expansion of (sqrt k) in n 77.099 * [taylor]: Taking taylor expansion of k in n 77.099 * [backup-simplify]: Simplify k into k 77.099 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 77.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 77.099 * [taylor]: Taking taylor expansion of 1 in n 77.099 * [backup-simplify]: Simplify 1 into 1 77.099 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 77.099 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 77.099 * [taylor]: Taking taylor expansion of 2 in n 77.099 * [backup-simplify]: Simplify 2 into 2 77.099 * [taylor]: Taking taylor expansion of (* n PI) in n 77.099 * [taylor]: Taking taylor expansion of n in n 77.099 * [backup-simplify]: Simplify 0 into 0 77.099 * [backup-simplify]: Simplify 1 into 1 77.099 * [taylor]: Taking taylor expansion of PI in n 77.099 * [backup-simplify]: Simplify PI into PI 77.100 * [backup-simplify]: Simplify (* 0 PI) into 0 77.100 * [backup-simplify]: Simplify (* 2 0) into 0 77.101 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 77.103 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 77.103 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 77.104 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 77.105 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 77.106 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 77.107 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 77.108 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 77.108 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 77.108 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 77.108 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 77.109 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 77.110 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 77.110 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 77.110 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 77.110 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 77.110 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 77.110 * [taylor]: Taking taylor expansion of 1/2 in n 77.110 * [backup-simplify]: Simplify 1/2 into 1/2 77.110 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 77.110 * [taylor]: Taking taylor expansion of 1 in n 77.110 * [backup-simplify]: Simplify 1 into 1 77.110 * [taylor]: Taking taylor expansion of (sqrt k) in n 77.110 * [taylor]: Taking taylor expansion of k in n 77.110 * [backup-simplify]: Simplify k into k 77.110 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 77.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 77.110 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 77.110 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 77.111 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 77.111 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 77.111 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 77.111 * [taylor]: Taking taylor expansion of (sqrt k) in n 77.111 * [taylor]: Taking taylor expansion of k in n 77.111 * [backup-simplify]: Simplify k into k 77.111 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 77.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 77.111 * [taylor]: Taking taylor expansion of 1 in n 77.111 * [backup-simplify]: Simplify 1 into 1 77.111 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 77.111 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 77.111 * [taylor]: Taking taylor expansion of 2 in n 77.111 * [backup-simplify]: Simplify 2 into 2 77.111 * [taylor]: Taking taylor expansion of (* n PI) in n 77.111 * [taylor]: Taking taylor expansion of n in n 77.111 * [backup-simplify]: Simplify 0 into 0 77.111 * [backup-simplify]: Simplify 1 into 1 77.111 * [taylor]: Taking taylor expansion of PI in n 77.111 * [backup-simplify]: Simplify PI into PI 77.111 * [backup-simplify]: Simplify (* 0 PI) into 0 77.112 * [backup-simplify]: Simplify (* 2 0) into 0 77.113 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 77.114 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 77.115 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 77.115 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 77.116 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 77.117 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 77.118 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 77.119 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 77.119 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 77.119 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 77.119 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 77.120 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 77.121 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 77.122 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) in k 77.122 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) in k 77.122 * [taylor]: Taking taylor expansion of 1/2 in k 77.122 * [backup-simplify]: Simplify 1/2 into 1/2 77.122 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))) in k 77.122 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 77.122 * [taylor]: Taking taylor expansion of (sqrt k) in k 77.122 * [taylor]: Taking taylor expansion of k in k 77.122 * [backup-simplify]: Simplify 0 into 0 77.122 * [backup-simplify]: Simplify 1 into 1 77.122 * [backup-simplify]: Simplify (sqrt 0) into 0 77.123 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 77.123 * [taylor]: Taking taylor expansion of 1 in k 77.123 * [backup-simplify]: Simplify 1 into 1 77.123 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))) in k 77.123 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 77.123 * [taylor]: Taking taylor expansion of 1 in k 77.123 * [backup-simplify]: Simplify 1 into 1 77.123 * [taylor]: Taking taylor expansion of (sqrt k) in k 77.123 * [taylor]: Taking taylor expansion of k in k 77.123 * [backup-simplify]: Simplify 0 into 0 77.124 * [backup-simplify]: Simplify 1 into 1 77.124 * [backup-simplify]: Simplify (sqrt 0) into 0 77.125 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 77.125 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 77.125 * [taylor]: Taking taylor expansion of (log n) in k 77.125 * [taylor]: Taking taylor expansion of n in k 77.125 * [backup-simplify]: Simplify n into n 77.125 * [backup-simplify]: Simplify (log n) into (log n) 77.125 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 77.125 * [taylor]: Taking taylor expansion of (* 2 PI) in k 77.126 * [taylor]: Taking taylor expansion of 2 in k 77.126 * [backup-simplify]: Simplify 2 into 2 77.126 * [taylor]: Taking taylor expansion of PI in k 77.126 * [backup-simplify]: Simplify PI into PI 77.126 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 77.127 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 77.127 * [backup-simplify]: Simplify (+ 0 1) into 1 77.128 * [backup-simplify]: Simplify (- 0) into 0 77.128 * [backup-simplify]: Simplify (+ 1 0) into 1 77.129 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 77.130 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 77.131 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 77.131 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 77.132 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 77.133 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 77.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 77.134 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 77.135 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 77.136 * [backup-simplify]: Simplify (+ 0 0) into 0 77.136 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 77.137 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 77.138 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 77.144 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 1) into 0 77.145 * [backup-simplify]: Simplify (- 0) into 0 77.145 * [backup-simplify]: Simplify (+ 0 0) into 0 77.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt k)))) into 0 77.146 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into 0 77.147 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 1) 1)))) into 0 77.147 * [taylor]: Taking taylor expansion of 0 in k 77.147 * [backup-simplify]: Simplify 0 into 0 77.147 * [backup-simplify]: Simplify 0 into 0 77.148 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 77.148 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 77.149 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 77.149 * [backup-simplify]: Simplify (+ 0 0) into 0 77.150 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 77.150 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 77.151 * [backup-simplify]: Simplify (+ (* 1 0) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 77.151 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 77.153 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 77.156 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 77.158 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 77.160 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) 77.161 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 77.162 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 77.164 * [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 77.164 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 77.164 * [backup-simplify]: Simplify (+ 0 0) into 0 77.165 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 77.166 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 77.168 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 77.170 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 2) into 0 77.171 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 77.171 * [backup-simplify]: Simplify (- 0) into 0 77.171 * [backup-simplify]: Simplify (+ 0 0) into 0 77.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt k))))) into 0 77.172 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))))) into 0 77.174 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 77.174 * [taylor]: Taking taylor expansion of 0 in k 77.174 * [backup-simplify]: Simplify 0 into 0 77.174 * [backup-simplify]: Simplify 0 into 0 77.174 * [backup-simplify]: Simplify 0 into 0 77.175 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 77.176 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 77.178 * [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 77.178 * [backup-simplify]: Simplify (+ 0 0) into 0 77.180 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 77.180 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 77.181 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 77.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 77.184 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 77.184 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 77.188 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 77.191 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 77.195 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 77.199 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) 77.209 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (* k 1) 2)) (+ (* (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* +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 (* (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 (* (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)))))))))))))))) 77.209 * [backup-simplify]: Simplify (pow (pow (* (/ 1 n) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 k))) 1)) (/ (- 1 (sqrt (/ 1 k))) 2)) into (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) 77.209 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in (n k) around 0 77.209 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in k 77.209 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in k 77.209 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in k 77.209 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in k 77.209 * [taylor]: Taking taylor expansion of 1/2 in k 77.209 * [backup-simplify]: Simplify 1/2 into 1/2 77.209 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 77.209 * [taylor]: Taking taylor expansion of 1 in k 77.209 * [backup-simplify]: Simplify 1 into 1 77.209 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 77.210 * [taylor]: Taking taylor expansion of (/ 1 k) in k 77.210 * [taylor]: Taking taylor expansion of k in k 77.210 * [backup-simplify]: Simplify 0 into 0 77.210 * [backup-simplify]: Simplify 1 into 1 77.210 * [backup-simplify]: Simplify (/ 1 1) into 1 77.210 * [backup-simplify]: Simplify (sqrt 0) into 0 77.211 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 77.211 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in k 77.211 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 77.211 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 77.211 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 77.211 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 77.211 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 77.211 * [taylor]: Taking taylor expansion of (/ 1 k) in k 77.211 * [taylor]: Taking taylor expansion of k in k 77.211 * [backup-simplify]: Simplify 0 into 0 77.211 * [backup-simplify]: Simplify 1 into 1 77.211 * [backup-simplify]: Simplify (/ 1 1) into 1 77.212 * [backup-simplify]: Simplify (sqrt 0) into 0 77.212 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 77.212 * [taylor]: Taking taylor expansion of 1 in k 77.212 * [backup-simplify]: Simplify 1 into 1 77.212 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 77.213 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 77.213 * [taylor]: Taking taylor expansion of 2 in k 77.213 * [backup-simplify]: Simplify 2 into 2 77.213 * [taylor]: Taking taylor expansion of (/ PI n) in k 77.213 * [taylor]: Taking taylor expansion of PI in k 77.213 * [backup-simplify]: Simplify PI into PI 77.213 * [taylor]: Taking taylor expansion of n in k 77.213 * [backup-simplify]: Simplify n into n 77.213 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 77.213 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 77.213 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 77.213 * [backup-simplify]: Simplify (+ 0 0) into 0 77.213 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 77.214 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 77.214 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 77.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 77.215 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 77.216 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 77.216 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 77.217 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 77.217 * [backup-simplify]: Simplify (- 0) into 0 77.217 * [backup-simplify]: Simplify (+ 0 0) into 0 77.218 * [backup-simplify]: Simplify (* 1/2 0) into 0 77.218 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* 2 (/ PI n)))))) into 0 77.218 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 77.219 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 77.221 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 1)))) 2) into 0 77.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 77.223 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 77.224 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 77.225 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n)))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 77.225 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) 77.225 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* 2 (/ PI n)))) 77.225 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 77.226 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 77.227 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 77.228 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 77.228 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 77.228 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 77.228 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 77.228 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 77.228 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 77.228 * [taylor]: Taking taylor expansion of 1/2 in n 77.228 * [backup-simplify]: Simplify 1/2 into 1/2 77.228 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 77.228 * [taylor]: Taking taylor expansion of 1 in n 77.228 * [backup-simplify]: Simplify 1 into 1 77.228 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 77.228 * [taylor]: Taking taylor expansion of (/ 1 k) in n 77.228 * [taylor]: Taking taylor expansion of k in n 77.228 * [backup-simplify]: Simplify k into k 77.228 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 77.228 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 77.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 77.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 77.228 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 77.228 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 77.228 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 77.228 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 77.228 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 77.228 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 77.228 * [taylor]: Taking taylor expansion of (/ 1 k) in n 77.228 * [taylor]: Taking taylor expansion of k in n 77.228 * [backup-simplify]: Simplify k into k 77.228 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 77.228 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 77.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 77.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 77.229 * [taylor]: Taking taylor expansion of 1 in n 77.229 * [backup-simplify]: Simplify 1 into 1 77.229 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 77.229 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 77.229 * [taylor]: Taking taylor expansion of 2 in n 77.229 * [backup-simplify]: Simplify 2 into 2 77.229 * [taylor]: Taking taylor expansion of (/ PI n) in n 77.229 * [taylor]: Taking taylor expansion of PI in n 77.229 * [backup-simplify]: Simplify PI into PI 77.229 * [taylor]: Taking taylor expansion of n in n 77.229 * [backup-simplify]: Simplify 0 into 0 77.229 * [backup-simplify]: Simplify 1 into 1 77.234 * [backup-simplify]: Simplify (/ PI 1) into PI 77.235 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 77.235 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 77.236 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 77.237 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 77.237 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 77.238 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 77.239 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 77.239 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 77.239 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 77.239 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 77.240 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 77.240 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 77.241 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 77.241 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 77.241 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 77.241 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 77.241 * [taylor]: Taking taylor expansion of 1/2 in n 77.241 * [backup-simplify]: Simplify 1/2 into 1/2 77.241 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 77.241 * [taylor]: Taking taylor expansion of 1 in n 77.241 * [backup-simplify]: Simplify 1 into 1 77.241 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 77.241 * [taylor]: Taking taylor expansion of (/ 1 k) in n 77.241 * [taylor]: Taking taylor expansion of k in n 77.241 * [backup-simplify]: Simplify k into k 77.241 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 77.241 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 77.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 77.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 77.241 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 77.241 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 77.241 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 77.241 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 77.241 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 77.241 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 77.241 * [taylor]: Taking taylor expansion of (/ 1 k) in n 77.241 * [taylor]: Taking taylor expansion of k in n 77.241 * [backup-simplify]: Simplify k into k 77.241 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 77.241 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 77.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 77.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 77.241 * [taylor]: Taking taylor expansion of 1 in n 77.241 * [backup-simplify]: Simplify 1 into 1 77.241 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 77.241 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 77.241 * [taylor]: Taking taylor expansion of 2 in n 77.241 * [backup-simplify]: Simplify 2 into 2 77.241 * [taylor]: Taking taylor expansion of (/ PI n) in n 77.241 * [taylor]: Taking taylor expansion of PI in n 77.241 * [backup-simplify]: Simplify PI into PI 77.241 * [taylor]: Taking taylor expansion of n in n 77.241 * [backup-simplify]: Simplify 0 into 0 77.241 * [backup-simplify]: Simplify 1 into 1 77.242 * [backup-simplify]: Simplify (/ PI 1) into PI 77.242 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 77.243 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 77.243 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 77.244 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 77.244 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 77.245 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 77.246 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 77.246 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 77.246 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 77.246 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 77.247 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 77.247 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 77.248 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) in k 77.248 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) in k 77.248 * [taylor]: Taking taylor expansion of 1/2 in k 77.248 * [backup-simplify]: Simplify 1/2 into 1/2 77.248 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 77.248 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 77.248 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 77.248 * [taylor]: Taking taylor expansion of (/ 1 k) in k 77.248 * [taylor]: Taking taylor expansion of k in k 77.248 * [backup-simplify]: Simplify 0 into 0 77.248 * [backup-simplify]: Simplify 1 into 1 77.248 * [backup-simplify]: Simplify (/ 1 1) into 1 77.248 * [backup-simplify]: Simplify (sqrt 0) into 0 77.249 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 77.249 * [taylor]: Taking taylor expansion of 1 in k 77.249 * [backup-simplify]: Simplify 1 into 1 77.249 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 77.249 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 77.249 * [taylor]: Taking taylor expansion of 1 in k 77.249 * [backup-simplify]: Simplify 1 into 1 77.249 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 77.249 * [taylor]: Taking taylor expansion of (/ 1 k) in k 77.249 * [taylor]: Taking taylor expansion of k in k 77.250 * [backup-simplify]: Simplify 0 into 0 77.250 * [backup-simplify]: Simplify 1 into 1 77.250 * [backup-simplify]: Simplify (/ 1 1) into 1 77.250 * [backup-simplify]: Simplify (sqrt 0) into 0 77.251 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 77.251 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 77.251 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 77.251 * [taylor]: Taking taylor expansion of (* 2 PI) in k 77.251 * [taylor]: Taking taylor expansion of 2 in k 77.251 * [backup-simplify]: Simplify 2 into 2 77.251 * [taylor]: Taking taylor expansion of PI in k 77.251 * [backup-simplify]: Simplify PI into PI 77.252 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 77.253 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 77.253 * [taylor]: Taking taylor expansion of (log n) in k 77.253 * [taylor]: Taking taylor expansion of n in k 77.253 * [backup-simplify]: Simplify n into n 77.253 * [backup-simplify]: Simplify (log n) into (log n) 77.253 * [backup-simplify]: Simplify (+ 0 0) into 0 77.253 * [backup-simplify]: Simplify (- 0) into 0 77.254 * [backup-simplify]: Simplify (+ 0 0) into 0 77.254 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 77.255 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 77.256 * [backup-simplify]: Simplify (* 0 (- (log (* 2 PI)) (log n))) into 0 77.256 * [backup-simplify]: Simplify (* 0 0) into 0 77.256 * [backup-simplify]: Simplify (* 1/2 0) into 0 77.257 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 77.259 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 77.259 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 77.260 * [backup-simplify]: Simplify (- 0) into 0 77.260 * [backup-simplify]: Simplify (+ 0 0) into 0 77.260 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 77.261 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 77.263 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 77.263 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 77.266 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)) into 0 77.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 0)) into 0 77.267 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 77.270 * [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 77.272 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 77.272 * [backup-simplify]: Simplify (- 0) into 0 77.273 * [backup-simplify]: Simplify (+ 0 0) into 0 77.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 77.276 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 77.277 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 77.277 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 77.279 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 77.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 77.281 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 77.281 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 77.284 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 77.286 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 77.287 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 77.289 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 77.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 77.290 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 77.291 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 77.291 * [backup-simplify]: Simplify (+ 0 0) into 0 77.292 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 77.292 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 77.293 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 77.295 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 1) into 0 77.295 * [backup-simplify]: Simplify (- 0) into 0 77.295 * [backup-simplify]: Simplify (+ 0 0) into 0 77.295 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt (/ 1 k))))) into 0 77.296 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into 0 77.297 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 1) 1)))) into 0 77.297 * [taylor]: Taking taylor expansion of 0 in k 77.297 * [backup-simplify]: Simplify 0 into 0 77.297 * [backup-simplify]: Simplify 0 into 0 77.298 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 77.301 * [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 77.303 * [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 77.304 * [backup-simplify]: Simplify (- 0) into 0 77.304 * [backup-simplify]: Simplify (+ 0 0) into 0 77.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.307 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 77.307 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 77.308 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 77.310 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 77.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 77.314 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 77.322 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 77.325 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 77.330 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 77.342 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 77.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.344 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 77.347 * [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 77.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 77.348 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 77.348 * [backup-simplify]: Simplify (+ 0 0) into 0 77.349 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 77.351 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 77.353 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 77.357 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 2) into 0 77.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 77.357 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 77.358 * [backup-simplify]: Simplify (- 0) into 0 77.358 * [backup-simplify]: Simplify (+ 0 0) into 0 77.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ 1 k)))))) into 0 77.360 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))))) into 0 77.362 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 77.362 * [taylor]: Taking taylor expansion of 0 in k 77.362 * [backup-simplify]: Simplify 0 into 0 77.362 * [backup-simplify]: Simplify 0 into 0 77.362 * [backup-simplify]: Simplify 0 into 0 77.363 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 77.369 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0 77.372 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 77.372 * [backup-simplify]: Simplify (- 0) into 0 77.373 * [backup-simplify]: Simplify (+ 0 0) into 0 77.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.376 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 77.377 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 77.377 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 77.379 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 77.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.383 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 77.383 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 77.389 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 77.393 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 77.398 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 77.403 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 77.416 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log (/ 1 n)) 2)) (- (+ (* +nan.0 (* (log (/ 1 n)) (log (* 2 PI)))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 2)) (+ (* (* (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (* (/ 1 k) 1)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 77.416 * [backup-simplify]: Simplify (pow (pow (* (/ 1 (- n)) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 (- k)))) 1)) (/ (- 1 (sqrt (/ 1 (- k)))) 2)) into (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) 77.416 * [approximate]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in (n k) around 0 77.416 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in k 77.416 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in k 77.416 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in k 77.416 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in k 77.416 * [taylor]: Taking taylor expansion of 1/2 in k 77.416 * [backup-simplify]: Simplify 1/2 into 1/2 77.417 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 77.417 * [taylor]: Taking taylor expansion of 1 in k 77.417 * [backup-simplify]: Simplify 1 into 1 77.417 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 77.417 * [taylor]: Taking taylor expansion of (/ -1 k) in k 77.417 * [taylor]: Taking taylor expansion of -1 in k 77.417 * [backup-simplify]: Simplify -1 into -1 77.417 * [taylor]: Taking taylor expansion of k in k 77.417 * [backup-simplify]: Simplify 0 into 0 77.417 * [backup-simplify]: Simplify 1 into 1 77.417 * [backup-simplify]: Simplify (/ -1 1) into -1 77.417 * [backup-simplify]: Simplify (sqrt 0) into 0 77.418 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 77.418 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in k 77.418 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 77.418 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 77.418 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 77.418 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 77.418 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 77.418 * [taylor]: Taking taylor expansion of (/ -1 k) in k 77.418 * [taylor]: Taking taylor expansion of -1 in k 77.418 * [backup-simplify]: Simplify -1 into -1 77.418 * [taylor]: Taking taylor expansion of k in k 77.418 * [backup-simplify]: Simplify 0 into 0 77.418 * [backup-simplify]: Simplify 1 into 1 77.419 * [backup-simplify]: Simplify (/ -1 1) into -1 77.419 * [backup-simplify]: Simplify (sqrt 0) into 0 77.420 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 77.420 * [taylor]: Taking taylor expansion of 1 in k 77.420 * [backup-simplify]: Simplify 1 into 1 77.420 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 77.420 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 77.420 * [taylor]: Taking taylor expansion of -2 in k 77.420 * [backup-simplify]: Simplify -2 into -2 77.420 * [taylor]: Taking taylor expansion of (/ PI n) in k 77.420 * [taylor]: Taking taylor expansion of PI in k 77.420 * [backup-simplify]: Simplify PI into PI 77.420 * [taylor]: Taking taylor expansion of n in k 77.420 * [backup-simplify]: Simplify n into n 77.420 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 77.420 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 77.420 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 77.421 * [backup-simplify]: Simplify (+ 0 0) into 0 77.421 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 77.421 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 77.421 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 77.421 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 77.422 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 77.422 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 77.422 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 77.422 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 77.423 * [backup-simplify]: Simplify (- 0) into 0 77.423 * [backup-simplify]: Simplify (+ 0 0) into 0 77.423 * [backup-simplify]: Simplify (* 1/2 0) into 0 77.423 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* -2 (/ PI n)))))) into 0 77.423 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 77.424 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 77.425 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (/ PI n)) 1)))) 2) into 0 77.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 77.427 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 77.428 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 77.428 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* -2 (/ PI n)))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 77.429 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 77.429 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* -2 (/ PI n)))) 77.429 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 77.430 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 77.436 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 77.437 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* -2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 77.437 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 77.437 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 77.437 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 77.437 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 77.437 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 77.437 * [taylor]: Taking taylor expansion of 1/2 in n 77.437 * [backup-simplify]: Simplify 1/2 into 1/2 77.437 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 77.437 * [taylor]: Taking taylor expansion of 1 in n 77.437 * [backup-simplify]: Simplify 1 into 1 77.437 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 77.437 * [taylor]: Taking taylor expansion of (/ -1 k) in n 77.437 * [taylor]: Taking taylor expansion of -1 in n 77.437 * [backup-simplify]: Simplify -1 into -1 77.437 * [taylor]: Taking taylor expansion of k in n 77.437 * [backup-simplify]: Simplify k into k 77.437 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 77.437 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 77.437 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 77.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 77.437 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 77.437 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 77.437 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 77.437 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 77.437 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 77.437 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 77.437 * [taylor]: Taking taylor expansion of (/ -1 k) in n 77.437 * [taylor]: Taking taylor expansion of -1 in n 77.437 * [backup-simplify]: Simplify -1 into -1 77.437 * [taylor]: Taking taylor expansion of k in n 77.437 * [backup-simplify]: Simplify k into k 77.437 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 77.437 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 77.437 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 77.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 77.438 * [taylor]: Taking taylor expansion of 1 in n 77.438 * [backup-simplify]: Simplify 1 into 1 77.438 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 77.438 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 77.438 * [taylor]: Taking taylor expansion of -2 in n 77.438 * [backup-simplify]: Simplify -2 into -2 77.438 * [taylor]: Taking taylor expansion of (/ PI n) in n 77.438 * [taylor]: Taking taylor expansion of PI in n 77.438 * [backup-simplify]: Simplify PI into PI 77.438 * [taylor]: Taking taylor expansion of n in n 77.438 * [backup-simplify]: Simplify 0 into 0 77.438 * [backup-simplify]: Simplify 1 into 1 77.438 * [backup-simplify]: Simplify (/ PI 1) into PI 77.438 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 77.439 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 77.439 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 77.440 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 77.441 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 77.441 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 77.442 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 77.442 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 77.442 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 77.442 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 77.443 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 77.444 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 77.444 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 77.444 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 77.444 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 77.444 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 77.444 * [taylor]: Taking taylor expansion of 1/2 in n 77.444 * [backup-simplify]: Simplify 1/2 into 1/2 77.444 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 77.444 * [taylor]: Taking taylor expansion of 1 in n 77.444 * [backup-simplify]: Simplify 1 into 1 77.444 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 77.444 * [taylor]: Taking taylor expansion of (/ -1 k) in n 77.444 * [taylor]: Taking taylor expansion of -1 in n 77.444 * [backup-simplify]: Simplify -1 into -1 77.444 * [taylor]: Taking taylor expansion of k in n 77.444 * [backup-simplify]: Simplify k into k 77.444 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 77.444 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 77.444 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 77.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 77.444 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 77.444 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 77.444 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 77.444 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 77.444 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 77.444 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 77.444 * [taylor]: Taking taylor expansion of (/ -1 k) in n 77.444 * [taylor]: Taking taylor expansion of -1 in n 77.444 * [backup-simplify]: Simplify -1 into -1 77.444 * [taylor]: Taking taylor expansion of k in n 77.444 * [backup-simplify]: Simplify k into k 77.444 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 77.444 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 77.444 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 77.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 77.444 * [taylor]: Taking taylor expansion of 1 in n 77.444 * [backup-simplify]: Simplify 1 into 1 77.445 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 77.445 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 77.445 * [taylor]: Taking taylor expansion of -2 in n 77.445 * [backup-simplify]: Simplify -2 into -2 77.445 * [taylor]: Taking taylor expansion of (/ PI n) in n 77.445 * [taylor]: Taking taylor expansion of PI in n 77.445 * [backup-simplify]: Simplify PI into PI 77.445 * [taylor]: Taking taylor expansion of n in n 77.445 * [backup-simplify]: Simplify 0 into 0 77.445 * [backup-simplify]: Simplify 1 into 1 77.445 * [backup-simplify]: Simplify (/ PI 1) into PI 77.445 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 77.446 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 77.446 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 77.447 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 77.448 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 77.448 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 77.449 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 77.449 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 77.449 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 77.449 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 77.450 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 77.451 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 77.451 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) in k 77.451 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) in k 77.451 * [taylor]: Taking taylor expansion of 1/2 in k 77.451 * [backup-simplify]: Simplify 1/2 into 1/2 77.451 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) in k 77.451 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 77.451 * [taylor]: Taking taylor expansion of 1 in k 77.451 * [backup-simplify]: Simplify 1 into 1 77.451 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 77.451 * [taylor]: Taking taylor expansion of (/ -1 k) in k 77.451 * [taylor]: Taking taylor expansion of -1 in k 77.451 * [backup-simplify]: Simplify -1 into -1 77.451 * [taylor]: Taking taylor expansion of k in k 77.451 * [backup-simplify]: Simplify 0 into 0 77.451 * [backup-simplify]: Simplify 1 into 1 77.452 * [backup-simplify]: Simplify (/ -1 1) into -1 77.452 * [backup-simplify]: Simplify (sqrt 0) into 0 77.453 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 77.453 * [taylor]: Taking taylor expansion of (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) in k 77.453 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 77.453 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 77.453 * [taylor]: Taking taylor expansion of (* -2 PI) in k 77.453 * [taylor]: Taking taylor expansion of -2 in k 77.453 * [backup-simplify]: Simplify -2 into -2 77.453 * [taylor]: Taking taylor expansion of PI in k 77.453 * [backup-simplify]: Simplify PI into PI 77.453 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 77.454 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 77.454 * [taylor]: Taking taylor expansion of (log n) in k 77.454 * [taylor]: Taking taylor expansion of n in k 77.454 * [backup-simplify]: Simplify n into n 77.454 * [backup-simplify]: Simplify (log n) into (log n) 77.454 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 77.454 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 77.454 * [taylor]: Taking taylor expansion of (/ -1 k) in k 77.454 * [taylor]: Taking taylor expansion of -1 in k 77.454 * [backup-simplify]: Simplify -1 into -1 77.454 * [taylor]: Taking taylor expansion of k in k 77.454 * [backup-simplify]: Simplify 0 into 0 77.454 * [backup-simplify]: Simplify 1 into 1 77.454 * [backup-simplify]: Simplify (/ -1 1) into -1 77.455 * [backup-simplify]: Simplify (sqrt 0) into 0 77.455 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 77.455 * [taylor]: Taking taylor expansion of 1 in k 77.455 * [backup-simplify]: Simplify 1 into 1 77.456 * [backup-simplify]: Simplify (- 0) into 0 77.456 * [backup-simplify]: Simplify (+ 0 0) into 0 77.456 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 77.457 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 77.457 * [backup-simplify]: Simplify (+ 0 0) into 0 77.457 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) 0) into 0 77.458 * [backup-simplify]: Simplify (* 0 0) into 0 77.458 * [backup-simplify]: Simplify (* 1/2 0) into 0 77.458 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 77.459 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 77.460 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 77.460 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 77.460 * [backup-simplify]: Simplify (- 0) into 0 77.461 * [backup-simplify]: Simplify (+ 0 0) into 0 77.462 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (* 0 0)) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 77.462 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 77.462 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 77.464 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0)) into 0 77.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 0)) into 0 77.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 77.467 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 77.467 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 77.468 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 77.470 * [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 77.471 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 77.471 * [backup-simplify]: Simplify (- 0) into 0 77.471 * [backup-simplify]: Simplify (+ 0 0) into 0 77.472 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 77.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 77.476 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 77.476 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 77.477 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 77.483 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 77.486 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 77.488 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 77.491 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 77.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 77.493 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 77.496 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 77.496 * [backup-simplify]: Simplify (+ 0 0) into 0 77.498 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 77.499 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 77.501 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 77.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 1)))) 1) into 0 77.503 * [backup-simplify]: Simplify (- 0) into 0 77.504 * [backup-simplify]: Simplify (+ 0 0) into 0 77.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt (/ -1 k))))) into 0 77.505 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ -1 k)))) 0) (* 0 (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into 0 77.507 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 77.507 * [taylor]: Taking taylor expansion of 0 in k 77.507 * [backup-simplify]: Simplify 0 into 0 77.507 * [backup-simplify]: Simplify 0 into 0 77.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.512 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 77.513 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 77.514 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 77.520 * [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 77.523 * [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 77.524 * [backup-simplify]: Simplify (- 0) into 0 77.524 * [backup-simplify]: Simplify (+ 0 0) into 0 77.526 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 77.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.531 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 77.531 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 77.532 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 77.539 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 77.542 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 77.545 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 77.553 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 77.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.555 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 77.557 * [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 77.557 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 77.557 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 77.558 * [backup-simplify]: Simplify (+ 0 0) into 0 77.559 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 77.560 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 77.561 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 77.563 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 1)))) 2) into 0 77.563 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 77.564 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 77.564 * [backup-simplify]: Simplify (- 0) into 0 77.564 * [backup-simplify]: Simplify (+ 0 0) into 0 77.565 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ -1 k)))))) into 0 77.566 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ -1 k)))) 0) (+ (* 0 0) (* 0 (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into 0 77.567 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 77.567 * [taylor]: Taking taylor expansion of 0 in k 77.567 * [backup-simplify]: Simplify 0 into 0 77.567 * [backup-simplify]: Simplify 0 into 0 77.567 * [backup-simplify]: Simplify 0 into 0 77.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.571 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 77.571 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 77.572 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 77.578 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -2 PI) 1)))) 24) into 0 77.581 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 77.581 * [backup-simplify]: Simplify (- 0) into 0 77.582 * [backup-simplify]: Simplify (+ 0 0) into 0 77.583 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 77.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.587 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 77.587 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 77.587 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 77.596 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 77.600 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 77.605 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 77.611 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))) 77.621 * [backup-simplify]: Simplify (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log (/ 1 (- n))) 2)) (- (+ (* +nan.0 (* (log (/ 1 (- n))) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))) (* (/ 1 (- k)) 1)) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 77.622 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 77.622 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 77.622 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 77.622 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 77.622 * [taylor]: Taking taylor expansion of 2 in n 77.622 * [backup-simplify]: Simplify 2 into 2 77.622 * [taylor]: Taking taylor expansion of (* n PI) in n 77.622 * [taylor]: Taking taylor expansion of n in n 77.622 * [backup-simplify]: Simplify 0 into 0 77.622 * [backup-simplify]: Simplify 1 into 1 77.622 * [taylor]: Taking taylor expansion of PI in n 77.622 * [backup-simplify]: Simplify PI into PI 77.622 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 77.622 * [taylor]: Taking taylor expansion of 2 in n 77.622 * [backup-simplify]: Simplify 2 into 2 77.622 * [taylor]: Taking taylor expansion of (* n PI) in n 77.622 * [taylor]: Taking taylor expansion of n in n 77.622 * [backup-simplify]: Simplify 0 into 0 77.622 * [backup-simplify]: Simplify 1 into 1 77.622 * [taylor]: Taking taylor expansion of PI in n 77.622 * [backup-simplify]: Simplify PI into PI 77.623 * [backup-simplify]: Simplify (* 0 PI) into 0 77.623 * [backup-simplify]: Simplify (* 2 0) into 0 77.623 * [backup-simplify]: Simplify 0 into 0 77.624 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 77.626 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 77.626 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 77.627 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 77.628 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 77.629 * [backup-simplify]: Simplify 0 into 0 77.630 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 77.631 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 77.631 * [backup-simplify]: Simplify 0 into 0 77.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 77.633 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 77.633 * [backup-simplify]: Simplify 0 into 0 77.635 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 77.636 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 77.636 * [backup-simplify]: Simplify 0 into 0 77.638 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 77.640 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 77.640 * [backup-simplify]: Simplify 0 into 0 77.650 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 77.652 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 77.652 * [backup-simplify]: Simplify 0 into 0 77.653 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 77.653 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 77.653 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 77.653 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 77.653 * [taylor]: Taking taylor expansion of 2 in n 77.653 * [backup-simplify]: Simplify 2 into 2 77.653 * [taylor]: Taking taylor expansion of (/ PI n) in n 77.653 * [taylor]: Taking taylor expansion of PI in n 77.653 * [backup-simplify]: Simplify PI into PI 77.653 * [taylor]: Taking taylor expansion of n in n 77.653 * [backup-simplify]: Simplify 0 into 0 77.653 * [backup-simplify]: Simplify 1 into 1 77.654 * [backup-simplify]: Simplify (/ PI 1) into PI 77.654 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 77.654 * [taylor]: Taking taylor expansion of 2 in n 77.654 * [backup-simplify]: Simplify 2 into 2 77.654 * [taylor]: Taking taylor expansion of (/ PI n) in n 77.654 * [taylor]: Taking taylor expansion of PI in n 77.654 * [backup-simplify]: Simplify PI into PI 77.654 * [taylor]: Taking taylor expansion of n in n 77.654 * [backup-simplify]: Simplify 0 into 0 77.654 * [backup-simplify]: Simplify 1 into 1 77.655 * [backup-simplify]: Simplify (/ PI 1) into PI 77.655 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 77.656 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 77.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 77.658 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 77.658 * [backup-simplify]: Simplify 0 into 0 77.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.660 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 77.660 * [backup-simplify]: Simplify 0 into 0 77.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.662 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 77.662 * [backup-simplify]: Simplify 0 into 0 77.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.664 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 77.664 * [backup-simplify]: Simplify 0 into 0 77.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.667 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 77.667 * [backup-simplify]: Simplify 0 into 0 77.668 * [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 77.670 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 77.670 * [backup-simplify]: Simplify 0 into 0 77.670 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 77.671 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 77.671 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 77.671 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 77.671 * [taylor]: Taking taylor expansion of -2 in n 77.671 * [backup-simplify]: Simplify -2 into -2 77.671 * [taylor]: Taking taylor expansion of (/ PI n) in n 77.671 * [taylor]: Taking taylor expansion of PI in n 77.671 * [backup-simplify]: Simplify PI into PI 77.671 * [taylor]: Taking taylor expansion of n in n 77.671 * [backup-simplify]: Simplify 0 into 0 77.671 * [backup-simplify]: Simplify 1 into 1 77.671 * [backup-simplify]: Simplify (/ PI 1) into PI 77.672 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 77.672 * [taylor]: Taking taylor expansion of -2 in n 77.672 * [backup-simplify]: Simplify -2 into -2 77.672 * [taylor]: Taking taylor expansion of (/ PI n) in n 77.672 * [taylor]: Taking taylor expansion of PI in n 77.672 * [backup-simplify]: Simplify PI into PI 77.672 * [taylor]: Taking taylor expansion of n in n 77.672 * [backup-simplify]: Simplify 0 into 0 77.672 * [backup-simplify]: Simplify 1 into 1 77.672 * [backup-simplify]: Simplify (/ PI 1) into PI 77.673 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 77.673 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 77.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 77.675 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 77.675 * [backup-simplify]: Simplify 0 into 0 77.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.677 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 77.677 * [backup-simplify]: Simplify 0 into 0 77.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.679 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 77.679 * [backup-simplify]: Simplify 0 into 0 77.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.682 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 77.682 * [backup-simplify]: Simplify 0 into 0 77.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.684 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 77.684 * [backup-simplify]: Simplify 0 into 0 77.685 * [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 77.687 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 77.687 * [backup-simplify]: Simplify 0 into 0 77.688 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 77.688 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 77.689 * [backup-simplify]: Simplify (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) into (* (/ 1 (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k))))) (sqrt k)) 77.689 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k))))) (sqrt k)) in (k n) around 0 77.689 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k))))) (sqrt k)) in n 77.689 * [taylor]: Taking taylor expansion of (/ 1 (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k))))) in n 77.689 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 77.689 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 77.689 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 77.689 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 77.689 * [taylor]: Taking taylor expansion of 1/2 in n 77.689 * [backup-simplify]: Simplify 1/2 into 1/2 77.689 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 77.689 * [taylor]: Taking taylor expansion of 1 in n 77.689 * [backup-simplify]: Simplify 1 into 1 77.689 * [taylor]: Taking taylor expansion of (sqrt k) in n 77.689 * [taylor]: Taking taylor expansion of k in n 77.689 * [backup-simplify]: Simplify k into k 77.689 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 77.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 77.689 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 77.689 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 77.689 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 77.689 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 77.690 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 77.690 * [taylor]: Taking taylor expansion of (sqrt k) in n 77.690 * [taylor]: Taking taylor expansion of k in n 77.690 * [backup-simplify]: Simplify k into k 77.690 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 77.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 77.690 * [taylor]: Taking taylor expansion of 1 in n 77.690 * [backup-simplify]: Simplify 1 into 1 77.690 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 77.690 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 77.690 * [taylor]: Taking taylor expansion of 2 in n 77.690 * [backup-simplify]: Simplify 2 into 2 77.690 * [taylor]: Taking taylor expansion of (* n PI) in n 77.690 * [taylor]: Taking taylor expansion of n in n 77.690 * [backup-simplify]: Simplify 0 into 0 77.690 * [backup-simplify]: Simplify 1 into 1 77.690 * [taylor]: Taking taylor expansion of PI in n 77.690 * [backup-simplify]: Simplify PI into PI 77.691 * [backup-simplify]: Simplify (* 0 PI) into 0 77.691 * [backup-simplify]: Simplify (* 2 0) into 0 77.692 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 77.694 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 77.695 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 77.695 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 77.696 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 77.697 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 77.699 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 77.700 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 77.700 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 77.700 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 77.700 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 77.701 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 77.702 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 77.703 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))))) into (/ 1 (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))))) 77.703 * [taylor]: Taking taylor expansion of (sqrt k) in n 77.704 * [taylor]: Taking taylor expansion of k in n 77.704 * [backup-simplify]: Simplify k into k 77.704 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 77.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 77.704 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k))))) (sqrt k)) in k 77.704 * [taylor]: Taking taylor expansion of (/ 1 (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k))))) in k 77.704 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in k 77.704 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in k 77.704 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in k 77.704 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in k 77.704 * [taylor]: Taking taylor expansion of 1/2 in k 77.704 * [backup-simplify]: Simplify 1/2 into 1/2 77.704 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 77.704 * [taylor]: Taking taylor expansion of 1 in k 77.704 * [backup-simplify]: Simplify 1 into 1 77.704 * [taylor]: Taking taylor expansion of (sqrt k) in k 77.704 * [taylor]: Taking taylor expansion of k in k 77.704 * [backup-simplify]: Simplify 0 into 0 77.704 * [backup-simplify]: Simplify 1 into 1 77.704 * [backup-simplify]: Simplify (sqrt 0) into 0 77.706 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 77.706 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in k 77.706 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 77.706 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 77.706 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 77.706 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 77.706 * [taylor]: Taking taylor expansion of (sqrt k) in k 77.706 * [taylor]: Taking taylor expansion of k in k 77.706 * [backup-simplify]: Simplify 0 into 0 77.706 * [backup-simplify]: Simplify 1 into 1 77.707 * [backup-simplify]: Simplify (sqrt 0) into 0 77.708 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 77.708 * [taylor]: Taking taylor expansion of 1 in k 77.708 * [backup-simplify]: Simplify 1 into 1 77.708 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 77.708 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 77.708 * [taylor]: Taking taylor expansion of 2 in k 77.708 * [backup-simplify]: Simplify 2 into 2 77.708 * [taylor]: Taking taylor expansion of (* n PI) in k 77.708 * [taylor]: Taking taylor expansion of n in k 77.708 * [backup-simplify]: Simplify n into n 77.708 * [taylor]: Taking taylor expansion of PI in k 77.708 * [backup-simplify]: Simplify PI into PI 77.708 * [backup-simplify]: Simplify (* n PI) into (* n PI) 77.708 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 77.708 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 77.709 * [backup-simplify]: Simplify (+ 0 1) into 1 77.709 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 77.709 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 77.709 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 77.710 * [backup-simplify]: Simplify (- 0) into 0 77.710 * [backup-simplify]: Simplify (+ 1 0) into 1 77.710 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 77.711 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 77.711 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 77.711 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 77.711 * [taylor]: Taking taylor expansion of (sqrt k) in k 77.711 * [taylor]: Taking taylor expansion of k in k 77.711 * [backup-simplify]: Simplify 0 into 0 77.711 * [backup-simplify]: Simplify 1 into 1 77.711 * [backup-simplify]: Simplify (sqrt 0) into 0 77.713 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 77.713 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k))))) (sqrt k)) in k 77.713 * [taylor]: Taking taylor expansion of (/ 1 (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k))))) in k 77.713 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in k 77.713 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in k 77.713 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in k 77.713 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in k 77.713 * [taylor]: Taking taylor expansion of 1/2 in k 77.713 * [backup-simplify]: Simplify 1/2 into 1/2 77.713 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 77.713 * [taylor]: Taking taylor expansion of 1 in k 77.713 * [backup-simplify]: Simplify 1 into 1 77.713 * [taylor]: Taking taylor expansion of (sqrt k) in k 77.713 * [taylor]: Taking taylor expansion of k in k 77.713 * [backup-simplify]: Simplify 0 into 0 77.713 * [backup-simplify]: Simplify 1 into 1 77.713 * [backup-simplify]: Simplify (sqrt 0) into 0 77.715 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 77.715 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in k 77.715 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 77.715 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 77.715 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 77.715 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 77.715 * [taylor]: Taking taylor expansion of (sqrt k) in k 77.715 * [taylor]: Taking taylor expansion of k in k 77.715 * [backup-simplify]: Simplify 0 into 0 77.715 * [backup-simplify]: Simplify 1 into 1 77.715 * [backup-simplify]: Simplify (sqrt 0) into 0 77.717 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 77.717 * [taylor]: Taking taylor expansion of 1 in k 77.717 * [backup-simplify]: Simplify 1 into 1 77.717 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 77.717 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 77.717 * [taylor]: Taking taylor expansion of 2 in k 77.717 * [backup-simplify]: Simplify 2 into 2 77.717 * [taylor]: Taking taylor expansion of (* n PI) in k 77.717 * [taylor]: Taking taylor expansion of n in k 77.717 * [backup-simplify]: Simplify n into n 77.717 * [taylor]: Taking taylor expansion of PI in k 77.717 * [backup-simplify]: Simplify PI into PI 77.717 * [backup-simplify]: Simplify (* n PI) into (* n PI) 77.717 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 77.717 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 77.718 * [backup-simplify]: Simplify (+ 0 1) into 1 77.718 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 77.718 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 77.718 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 77.718 * [backup-simplify]: Simplify (- 0) into 0 77.719 * [backup-simplify]: Simplify (+ 1 0) into 1 77.719 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 77.719 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 77.720 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 77.720 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 77.720 * [taylor]: Taking taylor expansion of (sqrt k) in k 77.720 * [taylor]: Taking taylor expansion of k in k 77.720 * [backup-simplify]: Simplify 0 into 0 77.720 * [backup-simplify]: Simplify 1 into 1 77.720 * [backup-simplify]: Simplify (sqrt 0) into 0 77.722 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 77.722 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 77.722 * [taylor]: Taking taylor expansion of 0 in n 77.722 * [backup-simplify]: Simplify 0 into 0 77.722 * [backup-simplify]: Simplify 0 into 0 77.722 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 77.723 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 77.724 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 77.724 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 77.725 * [backup-simplify]: Simplify (+ (* 1 0) (* (- +nan.0) (log (* 2 (* n PI))))) into (- (* +nan.0 (log (* 2 (* n PI))))) 77.725 * [backup-simplify]: Simplify (* (exp (log (* 2 (* n PI)))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (* n PI))))) 1) 1)))) into (* +nan.0 (* (log (* 2 (* n PI))) (* n PI))) 77.726 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (log (* 2 (* n PI))) (* n PI)))) 1)) (pow (* 2 (* n PI)) 1)))) 1) into (* +nan.0 (log (* 2 (* n PI)))) 77.726 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 77.727 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 77.729 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 1)) into (- +nan.0) 77.730 * [backup-simplify]: Simplify (+ (* 1/2 (* +nan.0 (log (* 2 (* n PI))))) (* (- +nan.0) (log (* 2 (* n PI))))) into (- (* +nan.0 (log (* 2 (* n PI))))) 77.730 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (* n PI))))) 1) 1)))) into (* +nan.0 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 77.731 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* +nan.0 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 77.733 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) 77.733 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 77.733 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 77.733 * [taylor]: Taking taylor expansion of +nan.0 in n 77.733 * [backup-simplify]: Simplify +nan.0 into +nan.0 77.733 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 77.733 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 77.733 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 77.733 * [taylor]: Taking taylor expansion of (* n PI) in n 77.733 * [taylor]: Taking taylor expansion of n in n 77.733 * [backup-simplify]: Simplify 0 into 0 77.733 * [backup-simplify]: Simplify 1 into 1 77.733 * [taylor]: Taking taylor expansion of PI in n 77.733 * [backup-simplify]: Simplify PI into PI 77.734 * [backup-simplify]: Simplify (* 0 PI) into 0 77.735 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 77.736 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 77.736 * [backup-simplify]: Simplify (sqrt 0) into 0 77.738 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 77.738 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 77.738 * [taylor]: Taking taylor expansion of 1/2 in n 77.738 * [backup-simplify]: Simplify 1/2 into 1/2 77.738 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 77.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 77.742 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 77.743 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 77.748 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 77.752 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 77.754 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 77.754 * [backup-simplify]: Simplify 0 into 0 77.757 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 77.758 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 77.759 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 77.760 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 77.764 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 77.764 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 77.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (* n PI)))))) into (- (* +nan.0 (log (* 2 (* n PI))))) 77.767 * [backup-simplify]: Simplify (* (exp (log (* 2 (* n PI)))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow (- (* +nan.0 (log (* 2 (* n PI))))) 1) 1)))) into (* -2 (* (+ (* +nan.0 (pow (log (* 2 (* n PI))) 2)) (- (* +nan.0 (log (* 2 (* n PI)))))) (* n PI))) 77.768 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* +nan.0 (* (log (* 2 (* n PI))) (* n PI)))) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (* -2 (* (+ (* +nan.0 (pow (log (* 2 (* n PI))) 2)) (- (* +nan.0 (log (* 2 (* n PI)))))) (* n PI)))) 1)) (pow (* 2 (* n PI)) 1)))) 2) into (* -1/2 (+ (* +nan.0 (pow (log (* 2 (* n PI))) 2)) (- (* +nan.0 (log (* 2 (* n PI))))))) 77.772 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 77.772 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 77.773 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 77.775 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 1))) into (- +nan.0) 77.776 * [backup-simplify]: Simplify (+ (* 1/2 (* -1/2 (+ (* +nan.0 (pow (log (* 2 (* n PI))) 2)) (- (* +nan.0 (log (* 2 (* n PI)))))))) (+ (* (- +nan.0) (* +nan.0 (log (* 2 (* n PI))))) (* (- +nan.0) (log (* 2 (* n PI)))))) into (- (+ (* +nan.0 (pow (log (* 2 (* n PI))) 2)) (- (* +nan.0 (log (* 2 (* n PI))))))) 77.776 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (pow (log (* 2 (* n PI))) 2)) (- (* +nan.0 (log (* 2 (* n PI))))))) 1) 1)))) into (* -1 (* (sqrt (* PI (* n 2))) (+ (* +nan.0 (pow (log (* 2 (* n PI))) 2)) (- (* +nan.0 (log (* 2 (* n PI)))))))) 77.778 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1 (* (sqrt (* PI (* n 2))) (+ (* +nan.0 (pow (log (* 2 (* n PI))) 2)) (- (* +nan.0 (log (* 2 (* n PI)))))))) (pow (* 2 (* n PI)) 1/2))) (* (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) (/ (* +nan.0 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI)))))))))) 77.784 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) +nan.0) (* (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI)))))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) 77.784 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n 77.784 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n 77.784 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n 77.784 * [taylor]: Taking taylor expansion of +nan.0 in n 77.784 * [backup-simplify]: Simplify +nan.0 into +nan.0 77.784 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 77.784 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 77.784 * [taylor]: Taking taylor expansion of (sqrt 2) in n 77.784 * [taylor]: Taking taylor expansion of 2 in n 77.784 * [backup-simplify]: Simplify 2 into 2 77.790 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 77.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 77.791 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 77.791 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 77.791 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 77.791 * [taylor]: Taking taylor expansion of 2 in n 77.791 * [backup-simplify]: Simplify 2 into 2 77.791 * [taylor]: Taking taylor expansion of (* n PI) in n 77.791 * [taylor]: Taking taylor expansion of n in n 77.791 * [backup-simplify]: Simplify 0 into 0 77.791 * [backup-simplify]: Simplify 1 into 1 77.791 * [taylor]: Taking taylor expansion of PI in n 77.791 * [backup-simplify]: Simplify PI into PI 77.791 * [backup-simplify]: Simplify (* 0 PI) into 0 77.791 * [backup-simplify]: Simplify (* 2 0) into 0 77.792 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 77.793 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 77.794 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 77.794 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 77.794 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 77.794 * [taylor]: Taking taylor expansion of 1/2 in n 77.794 * [backup-simplify]: Simplify 1/2 into 1/2 77.794 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 77.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 77.795 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 77.795 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 77.795 * [taylor]: Taking taylor expansion of (* n PI) in n 77.795 * [taylor]: Taking taylor expansion of n in n 77.795 * [backup-simplify]: Simplify 0 into 0 77.795 * [backup-simplify]: Simplify 1 into 1 77.795 * [taylor]: Taking taylor expansion of PI in n 77.795 * [backup-simplify]: Simplify PI into PI 77.795 * [backup-simplify]: Simplify (* 0 PI) into 0 77.796 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 77.797 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 77.797 * [backup-simplify]: Simplify (sqrt 0) into 0 77.798 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 77.798 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 77.798 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 77.798 * [taylor]: Taking taylor expansion of +nan.0 in n 77.798 * [backup-simplify]: Simplify +nan.0 into +nan.0 77.798 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 77.798 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 77.798 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 77.798 * [taylor]: Taking taylor expansion of (* n PI) in n 77.798 * [taylor]: Taking taylor expansion of n in n 77.798 * [backup-simplify]: Simplify 0 into 0 77.798 * [backup-simplify]: Simplify 1 into 1 77.798 * [taylor]: Taking taylor expansion of PI in n 77.798 * [backup-simplify]: Simplify PI into PI 77.799 * [backup-simplify]: Simplify (* 0 PI) into 0 77.799 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 77.800 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 77.800 * [backup-simplify]: Simplify (sqrt 0) into 0 77.801 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 77.801 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 77.801 * [taylor]: Taking taylor expansion of 1/2 in n 77.801 * [backup-simplify]: Simplify 1/2 into 1/2 77.801 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 77.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 77.803 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 77.803 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 77.805 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))) 77.806 * [backup-simplify]: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 77.807 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 77.807 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 77.808 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 77.808 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 77.809 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 77.810 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 77.812 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 77.814 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 77.815 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 77.827 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 77.831 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 77.831 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 77.836 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 77.840 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 77.854 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 77.874 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 77.889 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 77.889 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 77.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 77.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 77.893 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 77.897 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 77.908 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 77.911 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 77.913 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 77.937 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 77.938 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow (pow (* (/ 1 n) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 k))) 1)) (/ (- 1 (sqrt (/ 1 k))) 2))) into (* (/ 1 (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k)))))) (sqrt (/ 1 k))) 77.938 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k)))))) (sqrt (/ 1 k))) in (k n) around 0 77.938 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k)))))) (sqrt (/ 1 k))) in n 77.938 * [taylor]: Taking taylor expansion of (/ 1 (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k)))))) in n 77.938 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 77.938 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 77.938 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 77.938 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 77.938 * [taylor]: Taking taylor expansion of 1/2 in n 77.938 * [backup-simplify]: Simplify 1/2 into 1/2 77.938 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 77.938 * [taylor]: Taking taylor expansion of 1 in n 77.938 * [backup-simplify]: Simplify 1 into 1 77.938 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 77.938 * [taylor]: Taking taylor expansion of (/ 1 k) in n 77.939 * [taylor]: Taking taylor expansion of k in n 77.939 * [backup-simplify]: Simplify k into k 77.939 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 77.939 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 77.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 77.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 77.939 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 77.939 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 77.939 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 77.939 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 77.939 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 77.939 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 77.939 * [taylor]: Taking taylor expansion of (/ 1 k) in n 77.939 * [taylor]: Taking taylor expansion of k in n 77.939 * [backup-simplify]: Simplify k into k 77.939 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 77.939 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 77.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 77.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 77.940 * [taylor]: Taking taylor expansion of 1 in n 77.940 * [backup-simplify]: Simplify 1 into 1 77.940 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 77.940 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 77.940 * [taylor]: Taking taylor expansion of 2 in n 77.940 * [backup-simplify]: Simplify 2 into 2 77.940 * [taylor]: Taking taylor expansion of (/ PI n) in n 77.940 * [taylor]: Taking taylor expansion of PI in n 77.940 * [backup-simplify]: Simplify PI into PI 77.940 * [taylor]: Taking taylor expansion of n in n 77.940 * [backup-simplify]: Simplify 0 into 0 77.940 * [backup-simplify]: Simplify 1 into 1 77.940 * [backup-simplify]: Simplify (/ PI 1) into PI 77.941 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 77.942 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 77.942 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 77.943 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 77.944 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 77.945 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 77.946 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 77.946 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 77.946 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 77.946 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 77.947 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 77.948 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 77.950 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (/ 1 (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 77.950 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 77.950 * [taylor]: Taking taylor expansion of (/ 1 k) in n 77.950 * [taylor]: Taking taylor expansion of k in n 77.950 * [backup-simplify]: Simplify k into k 77.950 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 77.950 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 77.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 77.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 77.950 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k)))))) (sqrt (/ 1 k))) in k 77.950 * [taylor]: Taking taylor expansion of (/ 1 (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k)))))) in k 77.950 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in k 77.950 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in k 77.950 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in k 77.950 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in k 77.950 * [taylor]: Taking taylor expansion of 1/2 in k 77.950 * [backup-simplify]: Simplify 1/2 into 1/2 77.950 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 77.950 * [taylor]: Taking taylor expansion of 1 in k 77.950 * [backup-simplify]: Simplify 1 into 1 77.950 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 77.950 * [taylor]: Taking taylor expansion of (/ 1 k) in k 77.950 * [taylor]: Taking taylor expansion of k in k 77.950 * [backup-simplify]: Simplify 0 into 0 77.950 * [backup-simplify]: Simplify 1 into 1 77.951 * [backup-simplify]: Simplify (/ 1 1) into 1 77.951 * [backup-simplify]: Simplify (sqrt 0) into 0 77.952 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 77.952 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in k 77.953 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 77.953 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 77.953 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 77.953 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 77.953 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 77.953 * [taylor]: Taking taylor expansion of (/ 1 k) in k 77.953 * [taylor]: Taking taylor expansion of k in k 77.953 * [backup-simplify]: Simplify 0 into 0 77.953 * [backup-simplify]: Simplify 1 into 1 77.953 * [backup-simplify]: Simplify (/ 1 1) into 1 77.953 * [backup-simplify]: Simplify (sqrt 0) into 0 77.955 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 77.955 * [taylor]: Taking taylor expansion of 1 in k 77.955 * [backup-simplify]: Simplify 1 into 1 77.955 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 77.955 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 77.955 * [taylor]: Taking taylor expansion of 2 in k 77.955 * [backup-simplify]: Simplify 2 into 2 77.955 * [taylor]: Taking taylor expansion of (/ PI n) in k 77.955 * [taylor]: Taking taylor expansion of PI in k 77.955 * [backup-simplify]: Simplify PI into PI 77.955 * [taylor]: Taking taylor expansion of n in k 77.955 * [backup-simplify]: Simplify n into n 77.955 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 77.955 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 77.955 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 77.955 * [backup-simplify]: Simplify (+ 0 0) into 0 77.955 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 77.956 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 77.956 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 77.957 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 77.957 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 77.958 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 77.958 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 77.958 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 77.959 * [backup-simplify]: Simplify (- 0) into 0 77.959 * [backup-simplify]: Simplify (+ 0 0) into 0 77.959 * [backup-simplify]: Simplify (* 1/2 0) into 0 77.959 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* 2 (/ PI n)))))) into 0 77.960 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 77.960 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 77.962 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 1)))) 2) into 0 77.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 77.965 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 77.965 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 77.967 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n)))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 77.967 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) 77.967 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* 2 (/ PI n)))) 77.968 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 77.969 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 77.970 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 77.971 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 77.971 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 77.971 * [backup-simplify]: Simplify (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) into (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) 77.971 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 77.971 * [taylor]: Taking taylor expansion of (/ 1 k) in k 77.971 * [taylor]: Taking taylor expansion of k in k 77.971 * [backup-simplify]: Simplify 0 into 0 77.972 * [backup-simplify]: Simplify 1 into 1 77.972 * [backup-simplify]: Simplify (/ 1 1) into 1 77.972 * [backup-simplify]: Simplify (sqrt 0) into 0 77.973 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 77.973 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k)))))) (sqrt (/ 1 k))) in k 77.973 * [taylor]: Taking taylor expansion of (/ 1 (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k)))))) in k 77.973 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in k 77.973 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in k 77.973 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in k 77.974 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in k 77.974 * [taylor]: Taking taylor expansion of 1/2 in k 77.974 * [backup-simplify]: Simplify 1/2 into 1/2 77.974 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 77.974 * [taylor]: Taking taylor expansion of 1 in k 77.974 * [backup-simplify]: Simplify 1 into 1 77.974 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 77.974 * [taylor]: Taking taylor expansion of (/ 1 k) in k 77.974 * [taylor]: Taking taylor expansion of k in k 77.974 * [backup-simplify]: Simplify 0 into 0 77.974 * [backup-simplify]: Simplify 1 into 1 77.974 * [backup-simplify]: Simplify (/ 1 1) into 1 77.974 * [backup-simplify]: Simplify (sqrt 0) into 0 77.976 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 77.976 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in k 77.976 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 77.976 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 77.976 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 77.976 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 77.976 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 77.976 * [taylor]: Taking taylor expansion of (/ 1 k) in k 77.976 * [taylor]: Taking taylor expansion of k in k 77.976 * [backup-simplify]: Simplify 0 into 0 77.976 * [backup-simplify]: Simplify 1 into 1 77.976 * [backup-simplify]: Simplify (/ 1 1) into 1 77.976 * [backup-simplify]: Simplify (sqrt 0) into 0 77.978 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 77.978 * [taylor]: Taking taylor expansion of 1 in k 77.978 * [backup-simplify]: Simplify 1 into 1 77.978 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 77.978 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 77.978 * [taylor]: Taking taylor expansion of 2 in k 77.978 * [backup-simplify]: Simplify 2 into 2 77.978 * [taylor]: Taking taylor expansion of (/ PI n) in k 77.978 * [taylor]: Taking taylor expansion of PI in k 77.978 * [backup-simplify]: Simplify PI into PI 77.978 * [taylor]: Taking taylor expansion of n in k 77.978 * [backup-simplify]: Simplify n into n 77.978 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 77.978 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 77.978 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 77.978 * [backup-simplify]: Simplify (+ 0 0) into 0 77.979 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 77.979 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 77.979 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 77.980 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 77.980 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 77.981 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 77.981 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 77.981 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 77.982 * [backup-simplify]: Simplify (- 0) into 0 77.982 * [backup-simplify]: Simplify (+ 0 0) into 0 77.982 * [backup-simplify]: Simplify (* 1/2 0) into 0 77.982 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* 2 (/ PI n)))))) into 0 77.983 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 77.983 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 77.985 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 1)))) 2) into 0 77.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 77.988 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 77.989 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 77.990 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n)))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 77.990 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) 77.991 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* 2 (/ PI n)))) 77.991 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 77.992 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 77.994 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 77.994 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 77.994 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 77.995 * [backup-simplify]: Simplify (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) into (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) 77.995 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 77.995 * [taylor]: Taking taylor expansion of (/ 1 k) in k 77.995 * [taylor]: Taking taylor expansion of k in k 77.995 * [backup-simplify]: Simplify 0 into 0 77.995 * [backup-simplify]: Simplify 1 into 1 77.995 * [backup-simplify]: Simplify (/ 1 1) into 1 77.996 * [backup-simplify]: Simplify (sqrt 0) into 0 77.997 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 77.997 * [backup-simplify]: Simplify (* (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) 0) into 0 77.997 * [taylor]: Taking taylor expansion of 0 in n 77.997 * [backup-simplify]: Simplify 0 into 0 77.997 * [backup-simplify]: Simplify 0 into 0 77.997 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 77.999 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI n))))) into 0 78.002 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (/ PI n)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (/ PI n)) 1)))) 6) into 0 78.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 78.007 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 78.007 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 78.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 78.010 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 2) 2)) (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2)))))) 78.012 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 2)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2))))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 2) into (* -1/2 (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2))))) 78.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 78.015 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 78.016 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 78.017 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 78.019 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- +nan.0) 78.020 * [backup-simplify]: Simplify (+ (* 0 (* -1/2 (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2)))))) (+ (* (- +nan.0) (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n)))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 78.021 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) 78.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) (/ (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))))) into (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) 78.022 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) +nan.0) (* (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) 0)) into (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) 78.022 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) in n 78.022 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) in n 78.022 * [taylor]: Taking taylor expansion of +nan.0 in n 78.022 * [backup-simplify]: Simplify +nan.0 into +nan.0 78.022 * [taylor]: Taking taylor expansion of (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) in n 78.022 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) in n 78.022 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* 2 (/ PI n))))) in n 78.022 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2 (/ PI n)))) in n 78.022 * [taylor]: Taking taylor expansion of +nan.0 in n 78.022 * [backup-simplify]: Simplify +nan.0 into +nan.0 78.022 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 78.022 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 78.022 * [taylor]: Taking taylor expansion of 2 in n 78.022 * [backup-simplify]: Simplify 2 into 2 78.022 * [taylor]: Taking taylor expansion of (/ PI n) in n 78.022 * [taylor]: Taking taylor expansion of PI in n 78.022 * [backup-simplify]: Simplify PI into PI 78.022 * [taylor]: Taking taylor expansion of n in n 78.022 * [backup-simplify]: Simplify 0 into 0 78.022 * [backup-simplify]: Simplify 1 into 1 78.023 * [backup-simplify]: Simplify (/ PI 1) into PI 78.023 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 78.024 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 78.025 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 78.026 * [backup-simplify]: Simplify (* +nan.0 (- (log (* 2 PI)) (log n))) into (* +nan.0 (- (log (* 2 PI)) (log n))) 78.027 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 78.028 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 78.037 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 78.039 * [backup-simplify]: Simplify (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) into (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 78.042 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 78.044 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (- (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) 78.047 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) into (- (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) 78.047 * [backup-simplify]: Simplify 0 into 0 78.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 78.052 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 78.052 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 78.054 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI n)))))) into 0 78.059 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 (/ PI n)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 (/ PI n)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 (/ PI n)) 1)))) 24) into 0 78.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 78.065 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 78.065 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 78.068 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n)))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 78.070 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 3) 6)) (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1) (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)) (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n)))))))))) 78.073 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 3)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 3))) (* -3 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 1) (pow (* 2 (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2))))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n))))))))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 6) into (* -1/6 (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n))))))))) 78.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 78.078 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 78.079 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 78.080 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 78.083 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 78.085 * [backup-simplify]: Simplify (+ (* 0 (* -1/6 (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n)))))))))) (+ (* (- +nan.0) (* -1/2 (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2)))))) (+ (* (- +nan.0) (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n))))))))) into (- (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2))))) 78.086 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2))))) 1) 1)))) into (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2)))))) 78.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) (/ (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2)))))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (* (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) (/ (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))))) into (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))) 78.089 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) +nan.0) (+ (* (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) +nan.0) (* (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))) 0))) into (- (+ (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))) 78.089 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))) in n 78.089 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))))) in n 78.089 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) in n 78.090 * [taylor]: Taking taylor expansion of +nan.0 in n 78.090 * [backup-simplify]: Simplify +nan.0 into +nan.0 78.090 * [taylor]: Taking taylor expansion of (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) in n 78.090 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) in n 78.090 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* 2 (/ PI n))))) in n 78.090 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2 (/ PI n)))) in n 78.090 * [taylor]: Taking taylor expansion of +nan.0 in n 78.090 * [backup-simplify]: Simplify +nan.0 into +nan.0 78.090 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 78.090 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 78.090 * [taylor]: Taking taylor expansion of 2 in n 78.090 * [backup-simplify]: Simplify 2 into 2 78.090 * [taylor]: Taking taylor expansion of (/ PI n) in n 78.090 * [taylor]: Taking taylor expansion of PI in n 78.090 * [backup-simplify]: Simplify PI into PI 78.090 * [taylor]: Taking taylor expansion of n in n 78.090 * [backup-simplify]: Simplify 0 into 0 78.090 * [backup-simplify]: Simplify 1 into 1 78.091 * [backup-simplify]: Simplify (/ PI 1) into PI 78.091 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 78.092 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 78.093 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 78.094 * [backup-simplify]: Simplify (* +nan.0 (- (log (* 2 PI)) (log n))) into (* +nan.0 (- (log (* 2 PI)) (log n))) 78.095 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 78.095 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 78.097 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 78.098 * [backup-simplify]: Simplify (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) into (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 78.098 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) in n 78.098 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) in n 78.098 * [taylor]: Taking taylor expansion of +nan.0 in n 78.098 * [backup-simplify]: Simplify +nan.0 into +nan.0 78.098 * [taylor]: Taking taylor expansion of (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) in n 78.098 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 78.098 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 78.098 * [taylor]: Taking taylor expansion of 2 in n 78.098 * [backup-simplify]: Simplify 2 into 2 78.098 * [taylor]: Taking taylor expansion of (/ PI n) in n 78.098 * [taylor]: Taking taylor expansion of PI in n 78.098 * [backup-simplify]: Simplify PI into PI 78.098 * [taylor]: Taking taylor expansion of n in n 78.098 * [backup-simplify]: Simplify 0 into 0 78.099 * [backup-simplify]: Simplify 1 into 1 78.099 * [backup-simplify]: Simplify (/ PI 1) into PI 78.099 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 78.100 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 78.100 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) in n 78.100 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* 2 (/ PI n))))) in n 78.100 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2 (/ PI n)))) in n 78.100 * [taylor]: Taking taylor expansion of +nan.0 in n 78.100 * [backup-simplify]: Simplify +nan.0 into +nan.0 78.100 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 78.100 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 78.100 * [taylor]: Taking taylor expansion of 2 in n 78.100 * [backup-simplify]: Simplify 2 into 2 78.100 * [taylor]: Taking taylor expansion of (/ PI n) in n 78.100 * [taylor]: Taking taylor expansion of PI in n 78.100 * [backup-simplify]: Simplify PI into PI 78.100 * [taylor]: Taking taylor expansion of n in n 78.100 * [backup-simplify]: Simplify 0 into 0 78.100 * [backup-simplify]: Simplify 1 into 1 78.100 * [backup-simplify]: Simplify (/ PI 1) into PI 78.100 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 78.101 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 78.102 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 78.103 * [backup-simplify]: Simplify (* +nan.0 (- (log (* 2 PI)) (log n))) into (* +nan.0 (- (log (* 2 PI)) (log n))) 78.103 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 78.104 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 78.106 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 78.107 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 78.107 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 78.110 * [backup-simplify]: Simplify (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) into (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 78.111 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 78.114 * [backup-simplify]: Simplify (* +nan.0 (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* +nan.0 (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 78.116 * [backup-simplify]: Simplify (- (* +nan.0 (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) into (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))) 78.124 * [backup-simplify]: Simplify (+ (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))) into (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))) 78.134 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))))) into (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))) 78.144 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))) into (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))) 78.145 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 78.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 78.147 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 78.149 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 78.150 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 78.152 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 78.152 * [backup-simplify]: Simplify (- 0) into 0 78.156 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow 0 1) 1)))) into 0 78.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) (/ 0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))) into 0 78.170 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) into 0 78.171 * [backup-simplify]: Simplify (- 0) into 0 78.171 * [backup-simplify]: Simplify 0 into 0 78.171 * [backup-simplify]: Simplify 0 into 0 78.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 78.174 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 78.174 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 78.175 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI n))))))) into 0 78.180 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 2 (/ PI n)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 2 (/ PI n)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 2 (/ PI n)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 (/ PI n)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 2 (/ PI n)) 1)))) 120) into 0 78.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 78.183 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)) (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 78.183 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 78.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n))))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 78.186 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 4) 24)) (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 2) 2) (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)) (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1) (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)) (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 2) 2)) (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 4)))))))))) 78.189 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 4)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 4))) (* 12 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 2) (pow (* 2 (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2))))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 3))) (* -3 (/ (* 1 (pow (* 2 (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2))))))) 2)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 2))) (* -4 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 1) 1 (pow (* 6 (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n))))))))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 4))))))))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 24) into (* -1/24 (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 4))))))))) 78.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 78.193 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 78.193 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 78.194 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 78.196 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- +nan.0) 78.198 * [backup-simplify]: Simplify (+ (* 0 (* -1/24 (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 4)))))))))) (+ (* (- +nan.0) (* -1/6 (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n)))))))))) (+ (* (- +nan.0) (* -1/2 (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2)))))) (+ (* (- +nan.0) (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n)))))))))) into (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n))))))))) 78.200 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 3) 6)) (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1) (/ (pow (- (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2))))) 1) 1)) (* (/ (pow (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n))))))))) 1) 1)))) into (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n)))))))))) 78.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) (/ (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n)))))))))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (* (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) (/ (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2)))))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (* (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))) (/ (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))))) into (- (+ (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 3) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))))) 78.207 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) +nan.0) (+ (* (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) +nan.0) (+ (* (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))) +nan.0) (* (- (+ (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 3) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))))) 0)))) into (- (+ (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))))) 78.207 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))))) in n 78.207 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))))))) in n 78.207 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) in n 78.207 * [taylor]: Taking taylor expansion of +nan.0 in n 78.207 * [backup-simplify]: Simplify +nan.0 into +nan.0 78.207 * [taylor]: Taking taylor expansion of (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) in n 78.207 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) in n 78.207 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* 2 (/ PI n))))) in n 78.207 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2 (/ PI n)))) in n 78.207 * [taylor]: Taking taylor expansion of +nan.0 in n 78.207 * [backup-simplify]: Simplify +nan.0 into +nan.0 78.207 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 78.207 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 78.207 * [taylor]: Taking taylor expansion of 2 in n 78.207 * [backup-simplify]: Simplify 2 into 2 78.207 * [taylor]: Taking taylor expansion of (/ PI n) in n 78.207 * [taylor]: Taking taylor expansion of PI in n 78.207 * [backup-simplify]: Simplify PI into PI 78.207 * [taylor]: Taking taylor expansion of n in n 78.207 * [backup-simplify]: Simplify 0 into 0 78.207 * [backup-simplify]: Simplify 1 into 1 78.208 * [backup-simplify]: Simplify (/ PI 1) into PI 78.209 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 78.210 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 78.211 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 78.212 * [backup-simplify]: Simplify (* +nan.0 (- (log (* 2 PI)) (log n))) into (* +nan.0 (- (log (* 2 PI)) (log n))) 78.213 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 78.214 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 78.217 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 78.220 * [backup-simplify]: Simplify (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) into (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 78.220 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))) in n 78.220 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))))) in n 78.220 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) in n 78.220 * [taylor]: Taking taylor expansion of +nan.0 in n 78.220 * [backup-simplify]: Simplify +nan.0 into +nan.0 78.220 * [taylor]: Taking taylor expansion of (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) in n 78.220 * [taylor]: Taking taylor expansion of (pow (log (* 2 (/ PI n))) 2) in n 78.220 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 78.220 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 78.220 * [taylor]: Taking taylor expansion of 2 in n 78.220 * [backup-simplify]: Simplify 2 into 2 78.220 * [taylor]: Taking taylor expansion of (/ PI n) in n 78.220 * [taylor]: Taking taylor expansion of PI in n 78.220 * [backup-simplify]: Simplify PI into PI 78.220 * [taylor]: Taking taylor expansion of n in n 78.220 * [backup-simplify]: Simplify 0 into 0 78.220 * [backup-simplify]: Simplify 1 into 1 78.221 * [backup-simplify]: Simplify (/ PI 1) into PI 78.221 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 78.222 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 78.224 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 78.224 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) in n 78.224 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* 2 (/ PI n))))) in n 78.224 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2 (/ PI n)))) in n 78.224 * [taylor]: Taking taylor expansion of +nan.0 in n 78.224 * [backup-simplify]: Simplify +nan.0 into +nan.0 78.224 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 78.224 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 78.224 * [taylor]: Taking taylor expansion of 2 in n 78.224 * [backup-simplify]: Simplify 2 into 2 78.224 * [taylor]: Taking taylor expansion of (/ PI n) in n 78.224 * [taylor]: Taking taylor expansion of PI in n 78.224 * [backup-simplify]: Simplify PI into PI 78.224 * [taylor]: Taking taylor expansion of n in n 78.224 * [backup-simplify]: Simplify 0 into 0 78.224 * [backup-simplify]: Simplify 1 into 1 78.225 * [backup-simplify]: Simplify (/ PI 1) into PI 78.225 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 78.226 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 78.227 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 78.228 * [backup-simplify]: Simplify (* +nan.0 (- (log (* 2 PI)) (log n))) into (* +nan.0 (- (log (* 2 PI)) (log n))) 78.229 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 78.231 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 78.233 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 78.234 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 78.236 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 78.238 * [backup-simplify]: Simplify (* (- (log (* 2 PI)) (log n)) (- (log (* 2 PI)) (log n))) into (pow (- (log (* 2 PI)) (log n)) 2) 78.241 * [backup-simplify]: Simplify (/ (pow (- (log (* 2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) into (/ (pow (- (log (* 2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 78.242 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) in n 78.242 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) in n 78.242 * [taylor]: Taking taylor expansion of +nan.0 in n 78.242 * [backup-simplify]: Simplify +nan.0 into +nan.0 78.242 * [taylor]: Taking taylor expansion of (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) in n 78.242 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 78.242 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 78.242 * [taylor]: Taking taylor expansion of 2 in n 78.242 * [backup-simplify]: Simplify 2 into 2 78.242 * [taylor]: Taking taylor expansion of (/ PI n) in n 78.242 * [taylor]: Taking taylor expansion of PI in n 78.242 * [backup-simplify]: Simplify PI into PI 78.242 * [taylor]: Taking taylor expansion of n in n 78.242 * [backup-simplify]: Simplify 0 into 0 78.242 * [backup-simplify]: Simplify 1 into 1 78.242 * [backup-simplify]: Simplify (/ PI 1) into PI 78.243 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 78.244 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 78.244 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) in n 78.244 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* 2 (/ PI n))))) in n 78.244 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2 (/ PI n)))) in n 78.244 * [taylor]: Taking taylor expansion of +nan.0 in n 78.244 * [backup-simplify]: Simplify +nan.0 into +nan.0 78.244 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 78.244 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 78.244 * [taylor]: Taking taylor expansion of 2 in n 78.244 * [backup-simplify]: Simplify 2 into 2 78.244 * [taylor]: Taking taylor expansion of (/ PI n) in n 78.244 * [taylor]: Taking taylor expansion of PI in n 78.244 * [backup-simplify]: Simplify PI into PI 78.244 * [taylor]: Taking taylor expansion of n in n 78.244 * [backup-simplify]: Simplify 0 into 0 78.244 * [backup-simplify]: Simplify 1 into 1 78.245 * [backup-simplify]: Simplify (/ PI 1) into PI 78.245 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 78.246 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 78.247 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 78.248 * [backup-simplify]: Simplify (* +nan.0 (- (log (* 2 PI)) (log n))) into (* +nan.0 (- (log (* 2 PI)) (log n))) 78.250 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 78.251 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 78.253 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 78.255 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 78.256 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 78.260 * [backup-simplify]: Simplify (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) into (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 78.264 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 78.267 * [backup-simplify]: Simplify (* +nan.0 (/ (pow (- (log (* 2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* +nan.0 (/ (pow (- (log (* 2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 78.272 * [backup-simplify]: Simplify (* +nan.0 (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* +nan.0 (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 78.276 * [backup-simplify]: Simplify (- (* +nan.0 (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) into (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))) 78.295 * [backup-simplify]: Simplify (+ (* +nan.0 (/ (pow (- (log (* 2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))))))) 78.314 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))))))) 78.338 * [backup-simplify]: Simplify (+ (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))))))))) 78.355 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))))))))) 78.368 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))))))))) 78.392 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ (pow (log (/ 1 n)) 2) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log (/ 1 n)) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log (/ 1 n)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))))))))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log (/ 1 n)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))) (- (+ (* +nan.0 (/ (log (/ 1 n)) (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 2)))) (- (+ (* +nan.0 (/ (* (log (/ 1 n)) (log (* 2 PI))) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))) (- (+ (* +nan.0 (/ (log (/ 1 n)) (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) k))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))) (- (+ (* +nan.0 (/ 1 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 2)))) (- (+ (* +nan.0 (/ (log (* 2 PI)) (* k (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))) (- (+ (* +nan.0 (/ 1 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) k))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (pow (log (/ 1 n)) 2) (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 2))))))))))))))))))))))) 78.400 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow (pow (* (/ 1 (- n)) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 (- k)))) 1)) (/ (- 1 (sqrt (/ 1 (- k)))) 2))) into (/ (sqrt (/ -1 k)) (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k)))))) 78.400 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k)))))) in (k n) around 0 78.400 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k)))))) in n 78.400 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 78.400 * [taylor]: Taking taylor expansion of (/ -1 k) in n 78.400 * [taylor]: Taking taylor expansion of -1 in n 78.400 * [backup-simplify]: Simplify -1 into -1 78.400 * [taylor]: Taking taylor expansion of k in n 78.400 * [backup-simplify]: Simplify k into k 78.400 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 78.400 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 78.401 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 78.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 78.401 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 78.401 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 78.401 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 78.401 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 78.401 * [taylor]: Taking taylor expansion of 1/2 in n 78.401 * [backup-simplify]: Simplify 1/2 into 1/2 78.401 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 78.401 * [taylor]: Taking taylor expansion of 1 in n 78.401 * [backup-simplify]: Simplify 1 into 1 78.401 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 78.401 * [taylor]: Taking taylor expansion of (/ -1 k) in n 78.401 * [taylor]: Taking taylor expansion of -1 in n 78.401 * [backup-simplify]: Simplify -1 into -1 78.401 * [taylor]: Taking taylor expansion of k in n 78.401 * [backup-simplify]: Simplify k into k 78.401 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 78.401 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 78.401 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 78.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 78.401 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 78.401 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 78.401 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 78.402 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 78.402 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 78.402 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 78.402 * [taylor]: Taking taylor expansion of (/ -1 k) in n 78.402 * [taylor]: Taking taylor expansion of -1 in n 78.402 * [backup-simplify]: Simplify -1 into -1 78.402 * [taylor]: Taking taylor expansion of k in n 78.402 * [backup-simplify]: Simplify k into k 78.402 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 78.402 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 78.402 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 78.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 78.402 * [taylor]: Taking taylor expansion of 1 in n 78.402 * [backup-simplify]: Simplify 1 into 1 78.402 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 78.402 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 78.402 * [taylor]: Taking taylor expansion of -2 in n 78.402 * [backup-simplify]: Simplify -2 into -2 78.402 * [taylor]: Taking taylor expansion of (/ PI n) in n 78.402 * [taylor]: Taking taylor expansion of PI in n 78.402 * [backup-simplify]: Simplify PI into PI 78.402 * [taylor]: Taking taylor expansion of n in n 78.402 * [backup-simplify]: Simplify 0 into 0 78.402 * [backup-simplify]: Simplify 1 into 1 78.403 * [backup-simplify]: Simplify (/ PI 1) into PI 78.404 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 78.404 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 78.405 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 78.406 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 78.407 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 78.408 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 78.409 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 78.409 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 78.409 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 78.409 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 78.410 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 78.412 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 78.413 * [backup-simplify]: Simplify (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))))) into (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))))) 78.413 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k)))))) in k 78.413 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 78.413 * [taylor]: Taking taylor expansion of (/ -1 k) in k 78.413 * [taylor]: Taking taylor expansion of -1 in k 78.413 * [backup-simplify]: Simplify -1 into -1 78.413 * [taylor]: Taking taylor expansion of k in k 78.413 * [backup-simplify]: Simplify 0 into 0 78.413 * [backup-simplify]: Simplify 1 into 1 78.413 * [backup-simplify]: Simplify (/ -1 1) into -1 78.414 * [backup-simplify]: Simplify (sqrt 0) into 0 78.415 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 78.415 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in k 78.415 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in k 78.415 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in k 78.415 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in k 78.415 * [taylor]: Taking taylor expansion of 1/2 in k 78.415 * [backup-simplify]: Simplify 1/2 into 1/2 78.415 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 78.415 * [taylor]: Taking taylor expansion of 1 in k 78.415 * [backup-simplify]: Simplify 1 into 1 78.415 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 78.415 * [taylor]: Taking taylor expansion of (/ -1 k) in k 78.415 * [taylor]: Taking taylor expansion of -1 in k 78.415 * [backup-simplify]: Simplify -1 into -1 78.415 * [taylor]: Taking taylor expansion of k in k 78.415 * [backup-simplify]: Simplify 0 into 0 78.415 * [backup-simplify]: Simplify 1 into 1 78.416 * [backup-simplify]: Simplify (/ -1 1) into -1 78.416 * [backup-simplify]: Simplify (sqrt 0) into 0 78.417 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 78.417 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in k 78.417 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 78.417 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 78.417 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 78.417 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 78.418 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 78.418 * [taylor]: Taking taylor expansion of (/ -1 k) in k 78.418 * [taylor]: Taking taylor expansion of -1 in k 78.418 * [backup-simplify]: Simplify -1 into -1 78.418 * [taylor]: Taking taylor expansion of k in k 78.418 * [backup-simplify]: Simplify 0 into 0 78.418 * [backup-simplify]: Simplify 1 into 1 78.418 * [backup-simplify]: Simplify (/ -1 1) into -1 78.418 * [backup-simplify]: Simplify (sqrt 0) into 0 78.420 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 78.420 * [taylor]: Taking taylor expansion of 1 in k 78.420 * [backup-simplify]: Simplify 1 into 1 78.420 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 78.420 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 78.420 * [taylor]: Taking taylor expansion of -2 in k 78.420 * [backup-simplify]: Simplify -2 into -2 78.420 * [taylor]: Taking taylor expansion of (/ PI n) in k 78.420 * [taylor]: Taking taylor expansion of PI in k 78.420 * [backup-simplify]: Simplify PI into PI 78.420 * [taylor]: Taking taylor expansion of n in k 78.420 * [backup-simplify]: Simplify n into n 78.421 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 78.421 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 78.421 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 78.422 * [backup-simplify]: Simplify (+ 0 0) into 0 78.422 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 78.422 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 78.423 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 78.424 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 78.424 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 78.425 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 78.425 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 78.425 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 78.426 * [backup-simplify]: Simplify (- 0) into 0 78.426 * [backup-simplify]: Simplify (+ 0 0) into 0 78.427 * [backup-simplify]: Simplify (* 1/2 0) into 0 78.427 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* -2 (/ PI n)))))) into 0 78.427 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 78.428 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 78.429 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (/ PI n)) 1)))) 2) into 0 78.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 78.433 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 78.434 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 78.435 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* -2 (/ PI n)))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 78.436 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 78.436 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* -2 (/ PI n)))) 78.437 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 78.438 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 78.440 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 78.440 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* -2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 78.441 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 78.441 * [backup-simplify]: Simplify (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) into (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) 78.441 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k)))))) in k 78.441 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 78.441 * [taylor]: Taking taylor expansion of (/ -1 k) in k 78.441 * [taylor]: Taking taylor expansion of -1 in k 78.441 * [backup-simplify]: Simplify -1 into -1 78.441 * [taylor]: Taking taylor expansion of k in k 78.441 * [backup-simplify]: Simplify 0 into 0 78.441 * [backup-simplify]: Simplify 1 into 1 78.442 * [backup-simplify]: Simplify (/ -1 1) into -1 78.442 * [backup-simplify]: Simplify (sqrt 0) into 0 78.443 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 78.443 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in k 78.444 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in k 78.444 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in k 78.444 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in k 78.444 * [taylor]: Taking taylor expansion of 1/2 in k 78.444 * [backup-simplify]: Simplify 1/2 into 1/2 78.444 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 78.444 * [taylor]: Taking taylor expansion of 1 in k 78.444 * [backup-simplify]: Simplify 1 into 1 78.444 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 78.444 * [taylor]: Taking taylor expansion of (/ -1 k) in k 78.444 * [taylor]: Taking taylor expansion of -1 in k 78.444 * [backup-simplify]: Simplify -1 into -1 78.444 * [taylor]: Taking taylor expansion of k in k 78.444 * [backup-simplify]: Simplify 0 into 0 78.444 * [backup-simplify]: Simplify 1 into 1 78.444 * [backup-simplify]: Simplify (/ -1 1) into -1 78.445 * [backup-simplify]: Simplify (sqrt 0) into 0 78.446 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 78.446 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in k 78.446 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 78.446 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 78.446 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 78.446 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 78.446 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 78.446 * [taylor]: Taking taylor expansion of (/ -1 k) in k 78.446 * [taylor]: Taking taylor expansion of -1 in k 78.446 * [backup-simplify]: Simplify -1 into -1 78.446 * [taylor]: Taking taylor expansion of k in k 78.446 * [backup-simplify]: Simplify 0 into 0 78.446 * [backup-simplify]: Simplify 1 into 1 78.447 * [backup-simplify]: Simplify (/ -1 1) into -1 78.447 * [backup-simplify]: Simplify (sqrt 0) into 0 78.448 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 78.448 * [taylor]: Taking taylor expansion of 1 in k 78.449 * [backup-simplify]: Simplify 1 into 1 78.449 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 78.449 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 78.449 * [taylor]: Taking taylor expansion of -2 in k 78.449 * [backup-simplify]: Simplify -2 into -2 78.449 * [taylor]: Taking taylor expansion of (/ PI n) in k 78.449 * [taylor]: Taking taylor expansion of PI in k 78.449 * [backup-simplify]: Simplify PI into PI 78.449 * [taylor]: Taking taylor expansion of n in k 78.449 * [backup-simplify]: Simplify n into n 78.449 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 78.449 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 78.449 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 78.449 * [backup-simplify]: Simplify (+ 0 0) into 0 78.449 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 78.449 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 78.450 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 78.450 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 78.450 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 78.451 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 78.451 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 78.451 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 78.451 * [backup-simplify]: Simplify (- 0) into 0 78.452 * [backup-simplify]: Simplify (+ 0 0) into 0 78.452 * [backup-simplify]: Simplify (* 1/2 0) into 0 78.452 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* -2 (/ PI n)))))) into 0 78.452 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 78.453 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 78.454 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (/ PI n)) 1)))) 2) into 0 78.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 78.456 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 78.456 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 78.457 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* -2 (/ PI n)))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 78.457 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 78.458 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* -2 (/ PI n)))) 78.458 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 78.458 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 78.460 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 78.460 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* -2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 78.460 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 78.460 * [backup-simplify]: Simplify (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) into (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) 78.460 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) in n 78.460 * [taylor]: Taking taylor expansion of +nan.0 in n 78.460 * [backup-simplify]: Simplify +nan.0 into +nan.0 78.460 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) in n 78.460 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* -2 (/ PI n))))) in n 78.460 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* -2 (/ PI n)))) in n 78.460 * [taylor]: Taking taylor expansion of +nan.0 in n 78.460 * [backup-simplify]: Simplify +nan.0 into +nan.0 78.460 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 78.460 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 78.460 * [taylor]: Taking taylor expansion of -2 in n 78.460 * [backup-simplify]: Simplify -2 into -2 78.460 * [taylor]: Taking taylor expansion of (/ PI n) in n 78.460 * [taylor]: Taking taylor expansion of PI in n 78.460 * [backup-simplify]: Simplify PI into PI 78.460 * [taylor]: Taking taylor expansion of n in n 78.460 * [backup-simplify]: Simplify 0 into 0 78.460 * [backup-simplify]: Simplify 1 into 1 78.461 * [backup-simplify]: Simplify (/ PI 1) into PI 78.461 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 78.462 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 78.462 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 78.463 * [backup-simplify]: Simplify (* +nan.0 (- (log (* -2 PI)) (log n))) into (* +nan.0 (- (log (* -2 PI)) (log n))) 78.464 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 78.464 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 78.466 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 78.468 * [backup-simplify]: Simplify (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) into (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 78.469 * [backup-simplify]: Simplify (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) into (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 78.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 78.471 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 78.472 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 78.472 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI n))))) into 0 78.474 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 (/ PI n)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 (/ PI n)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 (/ PI n)) 1)))) 6) into 0 78.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 78.477 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 78.477 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 78.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 78.479 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 2) 2)) (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 78.480 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 2)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1 (* (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 1)))) 2) into (* -1/2 (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2))))) 78.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 78.482 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 78.482 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 78.483 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 78.484 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- +nan.0) 78.485 * [backup-simplify]: Simplify (+ (* 0 (* -1/2 (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))))) (+ (* (- +nan.0) (* +nan.0 (log (* -2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* -2 (/ PI n)))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 78.485 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 78.486 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) (+ (* (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) (/ (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))))) into (- (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))))) 78.486 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))))) in n 78.486 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))))) in n 78.486 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) in n 78.486 * [taylor]: Taking taylor expansion of +nan.0 in n 78.486 * [backup-simplify]: Simplify +nan.0 into +nan.0 78.486 * [taylor]: Taking taylor expansion of (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) in n 78.486 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 78.486 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 78.486 * [taylor]: Taking taylor expansion of -2 in n 78.486 * [backup-simplify]: Simplify -2 into -2 78.486 * [taylor]: Taking taylor expansion of (/ PI n) in n 78.486 * [taylor]: Taking taylor expansion of PI in n 78.486 * [backup-simplify]: Simplify PI into PI 78.486 * [taylor]: Taking taylor expansion of n in n 78.486 * [backup-simplify]: Simplify 0 into 0 78.486 * [backup-simplify]: Simplify 1 into 1 78.486 * [backup-simplify]: Simplify (/ PI 1) into PI 78.486 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 78.487 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 78.487 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) in n 78.487 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* -2 (/ PI n))))) in n 78.487 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* -2 (/ PI n)))) in n 78.487 * [taylor]: Taking taylor expansion of +nan.0 in n 78.487 * [backup-simplify]: Simplify +nan.0 into +nan.0 78.487 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 78.487 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 78.487 * [taylor]: Taking taylor expansion of -2 in n 78.487 * [backup-simplify]: Simplify -2 into -2 78.487 * [taylor]: Taking taylor expansion of (/ PI n) in n 78.487 * [taylor]: Taking taylor expansion of PI in n 78.487 * [backup-simplify]: Simplify PI into PI 78.487 * [taylor]: Taking taylor expansion of n in n 78.487 * [backup-simplify]: Simplify 0 into 0 78.487 * [backup-simplify]: Simplify 1 into 1 78.487 * [backup-simplify]: Simplify (/ PI 1) into PI 78.488 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 78.488 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 78.489 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 78.490 * [backup-simplify]: Simplify (* +nan.0 (- (log (* -2 PI)) (log n))) into (* +nan.0 (- (log (* -2 PI)) (log n))) 78.492 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 78.493 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 78.495 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 78.497 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 78.498 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 78.502 * [backup-simplify]: Simplify (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) into (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 78.502 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) in n 78.502 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) in n 78.502 * [taylor]: Taking taylor expansion of +nan.0 in n 78.502 * [backup-simplify]: Simplify +nan.0 into +nan.0 78.502 * [taylor]: Taking taylor expansion of (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) in n 78.502 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) in n 78.502 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* -2 (/ PI n))))) in n 78.502 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* -2 (/ PI n)))) in n 78.502 * [taylor]: Taking taylor expansion of +nan.0 in n 78.502 * [backup-simplify]: Simplify +nan.0 into +nan.0 78.502 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 78.502 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 78.502 * [taylor]: Taking taylor expansion of -2 in n 78.502 * [backup-simplify]: Simplify -2 into -2 78.502 * [taylor]: Taking taylor expansion of (/ PI n) in n 78.502 * [taylor]: Taking taylor expansion of PI in n 78.502 * [backup-simplify]: Simplify PI into PI 78.502 * [taylor]: Taking taylor expansion of n in n 78.502 * [backup-simplify]: Simplify 0 into 0 78.502 * [backup-simplify]: Simplify 1 into 1 78.503 * [backup-simplify]: Simplify (/ PI 1) into PI 78.503 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 78.504 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 78.505 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 78.506 * [backup-simplify]: Simplify (* +nan.0 (- (log (* -2 PI)) (log n))) into (* +nan.0 (- (log (* -2 PI)) (log n))) 78.507 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 78.507 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 78.509 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 78.515 * [backup-simplify]: Simplify (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) into (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 78.517 * [backup-simplify]: Simplify (* +nan.0 (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) into (* +nan.0 (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) 78.519 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) into (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 78.520 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) into (- (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))) 78.524 * [backup-simplify]: Simplify (+ (* +nan.0 (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))) into (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))) 78.530 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))))) into (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))) 78.535 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))) into (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))) 78.536 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 78.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 78.537 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 78.538 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 78.539 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 78.540 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 78.540 * [backup-simplify]: Simplify (- 0) into 0 78.542 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow 0 1) 1)))) into 0 78.547 * [backup-simplify]: Simplify (- (/ 0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) (+ (* (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) (/ 0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))) into 0 78.547 * [backup-simplify]: Simplify 0 into 0 78.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 78.550 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 78.550 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 78.551 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI n)))))) into 0 78.554 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -2 (/ PI n)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -2 (/ PI n)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -2 (/ PI n)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -2 (/ PI n)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -2 (/ PI n)) 1)))) 24) into 0 78.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 78.559 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 78.559 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 78.561 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* -2 (/ PI n)))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 78.562 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 3) 6)) (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1) (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)) (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (+ (* +nan.0 (pow (log (* -2 (/ PI n))) 3)) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 78.566 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 3)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 3))) (* -3 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1) (pow (* 2 (* -1 (* (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* -1 (* (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (+ (* +nan.0 (pow (log (* -2 (/ PI n))) 3)) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 1)))) 6) into (* -1/6 (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (+ (* +nan.0 (pow (log (* -2 (/ PI n))) 3)) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2))))))) 78.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 78.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 78.571 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 78.572 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 78.576 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 78.579 * [backup-simplify]: Simplify (+ (* 0 (* -1/6 (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (+ (* +nan.0 (pow (log (* -2 (/ PI n))) 3)) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))))))) (+ (* (- +nan.0) (* -1/2 (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))))) (+ (* (- +nan.0) (* +nan.0 (log (* -2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* -2 (/ PI n))))))))) into (- (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2))))) 78.579 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 78.582 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) (+ (* (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) (/ (* -1 (* (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (* (- (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))))) (/ (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))))) into (- (+ (* +nan.0 (/ (pow (log (* -2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))))))) 78.582 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (log (* -2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))))))) in n 78.582 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (log (* -2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))))))) in n 78.582 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (log (* -2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) in n 78.582 * [taylor]: Taking taylor expansion of +nan.0 in n 78.582 * [backup-simplify]: Simplify +nan.0 into +nan.0 78.582 * [taylor]: Taking taylor expansion of (/ (pow (log (* -2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) in n 78.582 * [taylor]: Taking taylor expansion of (pow (log (* -2 (/ PI n))) 2) in n 78.582 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 78.582 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 78.582 * [taylor]: Taking taylor expansion of -2 in n 78.582 * [backup-simplify]: Simplify -2 into -2 78.582 * [taylor]: Taking taylor expansion of (/ PI n) in n 78.582 * [taylor]: Taking taylor expansion of PI in n 78.582 * [backup-simplify]: Simplify PI into PI 78.582 * [taylor]: Taking taylor expansion of n in n 78.582 * [backup-simplify]: Simplify 0 into 0 78.582 * [backup-simplify]: Simplify 1 into 1 78.583 * [backup-simplify]: Simplify (/ PI 1) into PI 78.584 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 78.585 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 78.587 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 78.587 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) in n 78.587 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* -2 (/ PI n))))) in n 78.587 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* -2 (/ PI n)))) in n 78.587 * [taylor]: Taking taylor expansion of +nan.0 in n 78.587 * [backup-simplify]: Simplify +nan.0 into +nan.0 78.587 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 78.587 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 78.587 * [taylor]: Taking taylor expansion of -2 in n 78.587 * [backup-simplify]: Simplify -2 into -2 78.587 * [taylor]: Taking taylor expansion of (/ PI n) in n 78.587 * [taylor]: Taking taylor expansion of PI in n 78.587 * [backup-simplify]: Simplify PI into PI 78.587 * [taylor]: Taking taylor expansion of n in n 78.587 * [backup-simplify]: Simplify 0 into 0 78.587 * [backup-simplify]: Simplify 1 into 1 78.588 * [backup-simplify]: Simplify (/ PI 1) into PI 78.588 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 78.589 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 78.590 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 78.592 * [backup-simplify]: Simplify (* +nan.0 (- (log (* -2 PI)) (log n))) into (* +nan.0 (- (log (* -2 PI)) (log n))) 78.593 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 78.594 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 78.597 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 78.598 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 78.599 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 78.601 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (- (log (* -2 PI)) (log n))) into (pow (- (log (* -2 PI)) (log n)) 2) 78.605 * [backup-simplify]: Simplify (/ (pow (- (log (* -2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) into (/ (pow (- (log (* -2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 78.605 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))))) in n 78.605 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))))) in n 78.605 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) in n 78.605 * [taylor]: Taking taylor expansion of +nan.0 in n 78.605 * [backup-simplify]: Simplify +nan.0 into +nan.0 78.605 * [taylor]: Taking taylor expansion of (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) in n 78.605 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 78.606 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 78.606 * [taylor]: Taking taylor expansion of -2 in n 78.606 * [backup-simplify]: Simplify -2 into -2 78.606 * [taylor]: Taking taylor expansion of (/ PI n) in n 78.606 * [taylor]: Taking taylor expansion of PI in n 78.606 * [backup-simplify]: Simplify PI into PI 78.606 * [taylor]: Taking taylor expansion of n in n 78.606 * [backup-simplify]: Simplify 0 into 0 78.606 * [backup-simplify]: Simplify 1 into 1 78.606 * [backup-simplify]: Simplify (/ PI 1) into PI 78.607 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 78.608 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 78.608 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) in n 78.608 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* -2 (/ PI n))))) in n 78.608 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* -2 (/ PI n)))) in n 78.608 * [taylor]: Taking taylor expansion of +nan.0 in n 78.608 * [backup-simplify]: Simplify +nan.0 into +nan.0 78.608 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 78.608 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 78.608 * [taylor]: Taking taylor expansion of -2 in n 78.608 * [backup-simplify]: Simplify -2 into -2 78.608 * [taylor]: Taking taylor expansion of (/ PI n) in n 78.608 * [taylor]: Taking taylor expansion of PI in n 78.608 * [backup-simplify]: Simplify PI into PI 78.608 * [taylor]: Taking taylor expansion of n in n 78.608 * [backup-simplify]: Simplify 0 into 0 78.608 * [backup-simplify]: Simplify 1 into 1 78.608 * [backup-simplify]: Simplify (/ PI 1) into PI 78.609 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 78.610 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 78.611 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 78.612 * [backup-simplify]: Simplify (* +nan.0 (- (log (* -2 PI)) (log n))) into (* +nan.0 (- (log (* -2 PI)) (log n))) 78.613 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 78.614 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 78.617 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 78.618 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 78.620 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 78.630 * [backup-simplify]: Simplify (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) into (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 78.630 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) in n 78.630 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) in n 78.630 * [taylor]: Taking taylor expansion of +nan.0 in n 78.630 * [backup-simplify]: Simplify +nan.0 into +nan.0 78.630 * [taylor]: Taking taylor expansion of (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) in n 78.630 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) in n 78.631 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* -2 (/ PI n))))) in n 78.631 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* -2 (/ PI n)))) in n 78.631 * [taylor]: Taking taylor expansion of +nan.0 in n 78.631 * [backup-simplify]: Simplify +nan.0 into +nan.0 78.631 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 78.631 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 78.631 * [taylor]: Taking taylor expansion of -2 in n 78.631 * [backup-simplify]: Simplify -2 into -2 78.631 * [taylor]: Taking taylor expansion of (/ PI n) in n 78.631 * [taylor]: Taking taylor expansion of PI in n 78.631 * [backup-simplify]: Simplify PI into PI 78.631 * [taylor]: Taking taylor expansion of n in n 78.631 * [backup-simplify]: Simplify 0 into 0 78.631 * [backup-simplify]: Simplify 1 into 1 78.631 * [backup-simplify]: Simplify (/ PI 1) into PI 78.632 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 78.633 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 78.634 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 78.635 * [backup-simplify]: Simplify (* +nan.0 (- (log (* -2 PI)) (log n))) into (* +nan.0 (- (log (* -2 PI)) (log n))) 78.636 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 78.637 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 78.640 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 78.643 * [backup-simplify]: Simplify (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) into (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 78.647 * [backup-simplify]: Simplify (* +nan.0 (/ (pow (- (log (* -2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) into (* +nan.0 (/ (pow (- (log (* -2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) 78.650 * [backup-simplify]: Simplify (* +nan.0 (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) into (* +nan.0 (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) 78.653 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) into (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 78.656 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) into (- (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))) 78.662 * [backup-simplify]: Simplify (+ (* +nan.0 (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))) into (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))) 78.671 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))))) into (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))) 78.685 * [backup-simplify]: Simplify (+ (* +nan.0 (/ (pow (- (log (* -2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* -2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (pow (log (* -2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))))))))) 78.707 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* -2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (pow (log (* -2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* -2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* -2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))))))))) 78.729 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* -2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* -2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* -2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* -2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))))))))) 78.773 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ (pow (log (/ 1 (- n))) 2) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log (/ 1 (- n))) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (* (log (/ 1 (- n))) (log (* -2 PI))) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* -2 PI)) 2) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))))))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (+ (* +nan.0 (/ (log (/ 1 (- n))) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))) into (- (+ (* +nan.0 (/ (log (* -2 PI)) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))))) (- (+ (* +nan.0 (/ (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow k 2)))) (- (+ (* +nan.0 (/ (pow (log (* -2 PI)) 2) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))))) (- (+ (* +nan.0 (/ (log (* -2 PI)) (* k (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))))) (- (+ (* +nan.0 (/ 1 (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) k))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (log (* -2 PI))) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))))) (- (+ (* +nan.0 (/ (pow (log (/ -1 n)) 2) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow k 2)))) (- (* +nan.0 (/ (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) k)))))))))))))))))))))) 78.774 * * * [progress]: simplifying candidates 78.774 * * * * [progress]: [ 1 / 217 ] simplifiying candidate # 78.774 * * * * [progress]: [ 2 / 217 ] simplifiying candidate # 78.774 * * * * [progress]: [ 3 / 217 ] simplifiying candidate # 78.774 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (+ 1 (sqrt k)) 1)) 78.775 * * [simplify]: iters left: 6 (14 enodes) 78.782 * * [simplify]: iters left: 5 (50 enodes) 78.799 * * [simplify]: iters left: 4 (84 enodes) 78.840 * * [simplify]: iters left: 3 (233 enodes) 78.940 * * [simplify]: iters left: 2 (489 enodes) 79.244 * * [simplify]: Extracting #0: cost 1 inf + 0 79.245 * * [simplify]: Extracting #1: cost 67 inf + 0 79.246 * * [simplify]: Extracting #2: cost 227 inf + 1 79.248 * * [simplify]: Extracting #3: cost 191 inf + 8754 79.260 * * [simplify]: Extracting #4: cost 36 inf + 57411 79.297 * * [simplify]: Extracting #5: cost 0 inf + 69510 79.326 * [simplify]: Simplified to (fma (sqrt k) (+ (log n) (+ (log 2) (log PI))) (+ (log n) (+ (log 2) (log PI)))) 79.326 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (fma (sqrt k) (+ (log n) (+ (log 2) (log PI))) (+ (log n) (+ (log 2) (log PI))))) (/ (- 1 (sqrt k)) 2))))) 79.326 * * * * [progress]: [ 4 / 217 ] simplifiying candidate # 79.326 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) 79.326 * * [simplify]: iters left: 6 (13 enodes) 79.330 * * [simplify]: iters left: 5 (48 enodes) 79.338 * * [simplify]: iters left: 4 (77 enodes) 79.354 * * [simplify]: iters left: 3 (183 enodes) 79.459 * * [simplify]: iters left: 2 (399 enodes) 79.731 * * [simplify]: Extracting #0: cost 1 inf + 0 79.732 * * [simplify]: Extracting #1: cost 73 inf + 0 79.733 * * [simplify]: Extracting #2: cost 239 inf + 1 79.735 * * [simplify]: Extracting #3: cost 226 inf + 1448 79.741 * * [simplify]: Extracting #4: cost 189 inf + 9851 79.765 * * [simplify]: Extracting #5: cost 22 inf + 63345 79.780 * * [simplify]: Extracting #6: cost 0 inf + 70556 79.795 * [simplify]: Simplified to (fma (+ (log n) (log (* 2 PI))) (sqrt k) (+ (log n) (log (* 2 PI)))) 79.796 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (fma (+ (log n) (log (* 2 PI))) (sqrt k) (+ (log n) (log (* 2 PI))))) (/ (- 1 (sqrt k)) 2))))) 79.796 * * * * [progress]: [ 5 / 217 ] simplifiying candidate # 79.796 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) 79.796 * * [simplify]: iters left: 6 (12 enodes) 79.802 * * [simplify]: iters left: 5 (47 enodes) 79.818 * * [simplify]: iters left: 4 (84 enodes) 79.843 * * [simplify]: iters left: 3 (184 enodes) 79.920 * * [simplify]: iters left: 2 (409 enodes) 80.238 * * [simplify]: Extracting #0: cost 1 inf + 0 80.238 * * [simplify]: Extracting #1: cost 74 inf + 0 80.239 * * [simplify]: Extracting #2: cost 225 inf + 1 80.240 * * [simplify]: Extracting #3: cost 202 inf + 3586 80.247 * * [simplify]: Extracting #4: cost 84 inf + 34985 80.263 * * [simplify]: Extracting #5: cost 5 inf + 57515 80.287 * * [simplify]: Extracting #6: cost 0 inf + 58887 80.301 * [simplify]: Simplified to (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) 80.301 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n)))) (/ (- 1 (sqrt k)) 2))))) 80.301 * * * * [progress]: [ 6 / 217 ] simplifiying candidate # 80.301 * * * * [progress]: [ 7 / 217 ] simplifiying candidate # 80.301 * [simplify]: Simplifying (* n (* 2 PI)) 80.301 * * [simplify]: iters left: 4 (5 enodes) 80.303 * * [simplify]: iters left: 3 (19 enodes) 80.306 * * [simplify]: iters left: 2 (27 enodes) 80.310 * * [simplify]: iters left: 1 (32 enodes) 80.316 * * [simplify]: Extracting #0: cost 1 inf + 0 80.316 * * [simplify]: Extracting #1: cost 8 inf + 0 80.316 * * [simplify]: Extracting #2: cost 7 inf + 45 80.316 * * [simplify]: Extracting #3: cost 0 inf + 421 80.316 * [simplify]: Simplified to (* (* PI 2) n) 80.316 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))))) 80.317 * * * * [progress]: [ 8 / 217 ] simplifiying candidate # 80.317 * [simplify]: Simplifying (* n (* 2 PI)) 80.317 * * [simplify]: iters left: 4 (5 enodes) 80.319 * * [simplify]: iters left: 3 (19 enodes) 80.325 * * [simplify]: iters left: 2 (27 enodes) 80.333 * * [simplify]: iters left: 1 (32 enodes) 80.341 * * [simplify]: Extracting #0: cost 1 inf + 0 80.341 * * [simplify]: Extracting #1: cost 8 inf + 0 80.341 * * [simplify]: Extracting #2: cost 7 inf + 45 80.342 * * [simplify]: Extracting #3: cost 0 inf + 421 80.342 * [simplify]: Simplified to (* (* PI 2) n) 80.342 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))))) 80.342 * * * * [progress]: [ 9 / 217 ] simplifiying candidate # 80.342 * [simplify]: Simplifying (* n (* 2 PI)) 80.342 * * [simplify]: iters left: 4 (5 enodes) 80.345 * * [simplify]: iters left: 3 (19 enodes) 80.351 * * [simplify]: iters left: 2 (27 enodes) 80.359 * * [simplify]: iters left: 1 (32 enodes) 80.367 * * [simplify]: Extracting #0: cost 1 inf + 0 80.367 * * [simplify]: Extracting #1: cost 8 inf + 0 80.367 * * [simplify]: Extracting #2: cost 7 inf + 45 80.367 * * [simplify]: Extracting #3: cost 0 inf + 421 80.368 * [simplify]: Simplified to (* (* PI 2) n) 80.368 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))))) 80.368 * * * * [progress]: [ 10 / 217 ] simplifiying candidate # 80.368 * [simplify]: Simplifying (cbrt (/ (+ 1 (sqrt k)) 1)) 80.368 * * [simplify]: iters left: 6 (6 enodes) 80.371 * * [simplify]: iters left: 5 (19 enodes) 80.376 * * [simplify]: iters left: 4 (21 enodes) 80.382 * * [simplify]: Extracting #0: cost 1 inf + 0 80.382 * * [simplify]: Extracting #1: cost 3 inf + 0 80.382 * * [simplify]: Extracting #2: cost 6 inf + 0 80.382 * * [simplify]: Extracting #3: cost 7 inf + 1 80.382 * * [simplify]: Extracting #4: cost 0 inf + 572 80.383 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 80.383 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (* (cbrt (/ (+ 1 (sqrt k)) 1)) (cbrt (/ (+ 1 (sqrt k)) 1)))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 80.383 * * * * [progress]: [ 11 / 217 ] simplifiying candidate # 80.383 * [simplify]: Simplifying (sqrt (/ (+ 1 (sqrt k)) 1)) 80.384 * * [simplify]: iters left: 6 (6 enodes) 80.386 * * [simplify]: iters left: 5 (19 enodes) 80.392 * * [simplify]: iters left: 4 (21 enodes) 80.398 * * [simplify]: Extracting #0: cost 1 inf + 0 80.398 * * [simplify]: Extracting #1: cost 3 inf + 0 80.398 * * [simplify]: Extracting #2: cost 6 inf + 0 80.398 * * [simplify]: Extracting #3: cost 7 inf + 1 80.398 * * [simplify]: Extracting #4: cost 0 inf + 492 80.398 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 80.398 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (sqrt (/ (+ 1 (sqrt k)) 1))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 80.398 * * * * [progress]: [ 12 / 217 ] simplifiying candidate # 80.399 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) (cbrt 1)) 80.399 * * [simplify]: iters left: 6 (7 enodes) 80.402 * * [simplify]: iters left: 5 (24 enodes) 80.409 * * [simplify]: iters left: 4 (26 enodes) 80.416 * * [simplify]: iters left: 3 (28 enodes) 80.422 * * [simplify]: Extracting #0: cost 1 inf + 0 80.422 * * [simplify]: Extracting #1: cost 4 inf + 0 80.422 * * [simplify]: Extracting #2: cost 5 inf + 1 80.422 * * [simplify]: Extracting #3: cost 7 inf + 1 80.423 * * [simplify]: Extracting #4: cost 0 inf + 572 80.423 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 80.423 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) (* (cbrt 1) (cbrt 1)))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 80.423 * * * * [progress]: [ 13 / 217 ] simplifiying candidate # 80.423 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) (sqrt 1)) 80.424 * * [simplify]: iters left: 6 (7 enodes) 80.427 * * [simplify]: iters left: 5 (24 enodes) 80.434 * * [simplify]: iters left: 4 (26 enodes) 80.437 * * [simplify]: iters left: 3 (28 enodes) 80.441 * * [simplify]: Extracting #0: cost 1 inf + 0 80.441 * * [simplify]: Extracting #1: cost 4 inf + 0 80.441 * * [simplify]: Extracting #2: cost 5 inf + 1 80.441 * * [simplify]: Extracting #3: cost 7 inf + 1 80.441 * * [simplify]: Extracting #4: cost 0 inf + 572 80.441 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 80.441 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) (sqrt 1))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 80.441 * * * * [progress]: [ 14 / 217 ] simplifiying candidate # 80.441 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) 1) 80.441 * * [simplify]: iters left: 6 (6 enodes) 80.443 * * [simplify]: iters left: 5 (19 enodes) 80.446 * * [simplify]: iters left: 4 (21 enodes) 80.451 * * [simplify]: Extracting #0: cost 1 inf + 0 80.451 * * [simplify]: Extracting #1: cost 4 inf + 0 80.451 * * [simplify]: Extracting #2: cost 5 inf + 1 80.451 * * [simplify]: Extracting #3: cost 7 inf + 1 80.451 * * [simplify]: Extracting #4: cost 0 inf + 572 80.451 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 80.451 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) 1)) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 80.451 * * * * [progress]: [ 15 / 217 ] simplifiying candidate # 80.451 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) (cbrt 1)) 80.451 * * [simplify]: iters left: 6 (7 enodes) 80.453 * * [simplify]: iters left: 5 (24 enodes) 80.457 * * [simplify]: iters left: 4 (26 enodes) 80.461 * * [simplify]: iters left: 3 (28 enodes) 80.464 * * [simplify]: Extracting #0: cost 1 inf + 0 80.464 * * [simplify]: Extracting #1: cost 4 inf + 0 80.464 * * [simplify]: Extracting #2: cost 5 inf + 1 80.464 * * [simplify]: Extracting #3: cost 7 inf + 1 80.464 * * [simplify]: Extracting #4: cost 0 inf + 492 80.464 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 80.464 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) (* (cbrt 1) (cbrt 1)))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 80.465 * * * * [progress]: [ 16 / 217 ] simplifiying candidate # 80.465 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) (sqrt 1)) 80.465 * * [simplify]: iters left: 6 (7 enodes) 80.467 * * [simplify]: iters left: 5 (24 enodes) 80.472 * * [simplify]: iters left: 4 (26 enodes) 80.478 * * [simplify]: iters left: 3 (28 enodes) 80.485 * * [simplify]: Extracting #0: cost 1 inf + 0 80.485 * * [simplify]: Extracting #1: cost 4 inf + 0 80.485 * * [simplify]: Extracting #2: cost 5 inf + 1 80.485 * * [simplify]: Extracting #3: cost 7 inf + 1 80.486 * * [simplify]: Extracting #4: cost 0 inf + 492 80.486 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 80.486 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) (sqrt 1))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 80.486 * * * * [progress]: [ 17 / 217 ] simplifiying candidate # 80.486 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) 1) 80.486 * * [simplify]: iters left: 6 (6 enodes) 80.489 * * [simplify]: iters left: 5 (19 enodes) 80.496 * * [simplify]: iters left: 4 (21 enodes) 80.502 * * [simplify]: Extracting #0: cost 1 inf + 0 80.502 * * [simplify]: Extracting #1: cost 4 inf + 0 80.502 * * [simplify]: Extracting #2: cost 5 inf + 1 80.502 * * [simplify]: Extracting #3: cost 7 inf + 1 80.502 * * [simplify]: Extracting #4: cost 0 inf + 492 80.502 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 80.503 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) 1)) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 80.503 * * * * [progress]: [ 18 / 217 ] simplifiying candidate # 80.503 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (cbrt 1)) 80.503 * * [simplify]: iters left: 5 (6 enodes) 80.508 * * [simplify]: iters left: 4 (21 enodes) 80.514 * * [simplify]: iters left: 3 (23 enodes) 80.521 * * [simplify]: iters left: 2 (25 enodes) 80.527 * * [simplify]: Extracting #0: cost 1 inf + 0 80.527 * * [simplify]: Extracting #1: cost 4 inf + 0 80.527 * * [simplify]: Extracting #2: cost 5 inf + 1 80.527 * * [simplify]: Extracting #3: cost 4 inf + 2 80.527 * * [simplify]: Extracting #4: cost 1 inf + 166 80.527 * * [simplify]: Extracting #5: cost 0 inf + 248 80.527 * [simplify]: Simplified to (+ 1 (sqrt k)) 80.527 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 1) (cbrt 1)))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 80.528 * * * * [progress]: [ 19 / 217 ] simplifiying candidate # 80.528 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (sqrt 1)) 80.528 * * [simplify]: iters left: 5 (6 enodes) 80.533 * * [simplify]: iters left: 4 (21 enodes) 80.539 * * [simplify]: iters left: 3 (23 enodes) 80.545 * * [simplify]: iters left: 2 (25 enodes) 80.551 * * [simplify]: Extracting #0: cost 1 inf + 0 80.551 * * [simplify]: Extracting #1: cost 4 inf + 0 80.552 * * [simplify]: Extracting #2: cost 5 inf + 1 80.552 * * [simplify]: Extracting #3: cost 4 inf + 2 80.552 * * [simplify]: Extracting #4: cost 1 inf + 166 80.552 * * [simplify]: Extracting #5: cost 0 inf + 248 80.552 * [simplify]: Simplified to (+ 1 (sqrt k)) 80.552 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 1))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 80.552 * * * * [progress]: [ 20 / 217 ] simplifiying candidate # 80.553 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 80.553 * * [simplify]: iters left: 5 (5 enodes) 80.555 * * [simplify]: iters left: 4 (16 enodes) 80.561 * * [simplify]: iters left: 3 (18 enodes) 80.566 * * [simplify]: Extracting #0: cost 1 inf + 0 80.566 * * [simplify]: Extracting #1: cost 4 inf + 0 80.566 * * [simplify]: Extracting #2: cost 5 inf + 1 80.566 * * [simplify]: Extracting #3: cost 1 inf + 166 80.567 * * [simplify]: Extracting #4: cost 0 inf + 248 80.567 * [simplify]: Simplified to (+ 1 (sqrt k)) 80.567 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ 1 1)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 80.567 * * * * [progress]: [ 21 / 217 ] simplifiying candidate # 80.567 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) (cbrt 1)) 80.567 * * [simplify]: iters left: 5 (7 enodes) 80.573 * * [simplify]: iters left: 4 (24 enodes) 80.580 * * [simplify]: iters left: 3 (26 enodes) 80.587 * * [simplify]: iters left: 2 (28 enodes) 80.597 * * [simplify]: Extracting #0: cost 1 inf + 0 80.597 * * [simplify]: Extracting #1: cost 4 inf + 0 80.597 * * [simplify]: Extracting #2: cost 5 inf + 1 80.597 * * [simplify]: Extracting #3: cost 4 inf + 2 80.597 * * [simplify]: Extracting #4: cost 1 inf + 166 80.597 * * [simplify]: Extracting #5: cost 0 inf + 248 80.597 * [simplify]: Simplified to (+ (sqrt k) 1) 80.597 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) (* (cbrt 1) (cbrt 1)))) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))) 80.598 * * * * [progress]: [ 22 / 217 ] simplifiying candidate # 80.598 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) (sqrt 1)) 80.598 * * [simplify]: iters left: 5 (6 enodes) 80.602 * * [simplify]: iters left: 4 (21 enodes) 80.608 * * [simplify]: iters left: 3 (23 enodes) 80.614 * * [simplify]: iters left: 2 (25 enodes) 80.620 * * [simplify]: Extracting #0: cost 1 inf + 0 80.621 * * [simplify]: Extracting #1: cost 4 inf + 0 80.621 * * [simplify]: Extracting #2: cost 5 inf + 1 80.621 * * [simplify]: Extracting #3: cost 1 inf + 166 80.621 * * [simplify]: Extracting #4: cost 0 inf + 248 80.621 * [simplify]: Simplified to (+ (sqrt k) 1) 80.621 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) (sqrt 1))) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))) 80.621 * * * * [progress]: [ 23 / 217 ] simplifiying candidate # 80.622 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) 1) 80.622 * * [simplify]: iters left: 5 (6 enodes) 80.625 * * [simplify]: iters left: 4 (19 enodes) 80.631 * * [simplify]: iters left: 3 (21 enodes) 80.637 * * [simplify]: Extracting #0: cost 1 inf + 0 80.637 * * [simplify]: Extracting #1: cost 4 inf + 0 80.637 * * [simplify]: Extracting #2: cost 5 inf + 1 80.637 * * [simplify]: Extracting #3: cost 0 inf + 248 80.637 * [simplify]: Simplified to (+ (sqrt k) 1) 80.637 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) 1)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))) 80.638 * * * * [progress]: [ 24 / 217 ] simplifiying candidate # 80.638 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (cbrt 1)) 80.638 * * [simplify]: iters left: 5 (6 enodes) 80.643 * * [simplify]: iters left: 4 (21 enodes) 80.649 * * [simplify]: iters left: 3 (23 enodes) 80.656 * * [simplify]: iters left: 2 (25 enodes) 80.662 * * [simplify]: Extracting #0: cost 1 inf + 0 80.662 * * [simplify]: Extracting #1: cost 4 inf + 0 80.662 * * [simplify]: Extracting #2: cost 5 inf + 1 80.662 * * [simplify]: Extracting #3: cost 4 inf + 2 80.662 * * [simplify]: Extracting #4: cost 1 inf + 166 80.662 * * [simplify]: Extracting #5: cost 0 inf + 248 80.662 * [simplify]: Simplified to (+ 1 (sqrt k)) 80.662 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 1) (cbrt 1)))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 80.663 * * * * [progress]: [ 25 / 217 ] simplifiying candidate # 80.663 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (sqrt 1)) 80.663 * * [simplify]: iters left: 5 (6 enodes) 80.668 * * [simplify]: iters left: 4 (21 enodes) 80.674 * * [simplify]: iters left: 3 (23 enodes) 80.680 * * [simplify]: iters left: 2 (25 enodes) 80.686 * * [simplify]: Extracting #0: cost 1 inf + 0 80.686 * * [simplify]: Extracting #1: cost 4 inf + 0 80.686 * * [simplify]: Extracting #2: cost 5 inf + 1 80.686 * * [simplify]: Extracting #3: cost 4 inf + 2 80.687 * * [simplify]: Extracting #4: cost 1 inf + 166 80.687 * * [simplify]: Extracting #5: cost 0 inf + 248 80.687 * [simplify]: Simplified to (+ 1 (sqrt k)) 80.687 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 1))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 80.687 * * * * [progress]: [ 26 / 217 ] simplifiying candidate # 80.687 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 80.687 * * [simplify]: iters left: 5 (5 enodes) 80.690 * * [simplify]: iters left: 4 (16 enodes) 80.692 * * [simplify]: iters left: 3 (18 enodes) 80.695 * * [simplify]: Extracting #0: cost 1 inf + 0 80.695 * * [simplify]: Extracting #1: cost 4 inf + 0 80.695 * * [simplify]: Extracting #2: cost 5 inf + 1 80.695 * * [simplify]: Extracting #3: cost 1 inf + 166 80.695 * * [simplify]: Extracting #4: cost 0 inf + 248 80.695 * [simplify]: Simplified to (+ 1 (sqrt k)) 80.695 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ 1 1)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 80.695 * * * * [progress]: [ 27 / 217 ] simplifiying candidate # 80.695 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 80.695 * * [simplify]: iters left: 5 (5 enodes) 80.697 * * [simplify]: iters left: 4 (16 enodes) 80.699 * * [simplify]: iters left: 3 (18 enodes) 80.702 * * [simplify]: Extracting #0: cost 1 inf + 0 80.702 * * [simplify]: Extracting #1: cost 4 inf + 0 80.702 * * [simplify]: Extracting #2: cost 5 inf + 1 80.702 * * [simplify]: Extracting #3: cost 1 inf + 166 80.702 * * [simplify]: Extracting #4: cost 0 inf + 248 80.702 * [simplify]: Simplified to (+ 1 (sqrt k)) 80.702 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) 1) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 80.702 * * * * [progress]: [ 28 / 217 ] simplifiying candidate # 80.702 * [simplify]: Simplifying (/ 1 1) 80.702 * * [simplify]: iters left: 2 (2 enodes) 80.703 * * [simplify]: iters left: 1 (6 enodes) 80.704 * * [simplify]: Extracting #0: cost 1 inf + 0 80.704 * * [simplify]: Extracting #1: cost 0 inf + 1 80.704 * [simplify]: Simplified to 1 80.704 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) 1) (/ (- 1 (sqrt k)) 2))))) 80.704 * * * * [progress]: [ 29 / 217 ] simplifiying candidate # 80.705 * [simplify]: Simplifying (pow n (/ (+ 1 (sqrt k)) 1)) 80.705 * * [simplify]: iters left: 6 (7 enodes) 80.707 * * [simplify]: iters left: 5 (26 enodes) 80.711 * * [simplify]: iters left: 4 (39 enodes) 80.718 * * [simplify]: iters left: 3 (65 enodes) 80.743 * * [simplify]: iters left: 2 (127 enodes) 80.772 * * [simplify]: iters left: 1 (258 enodes) 80.862 * * [simplify]: Extracting #0: cost 1 inf + 0 80.862 * * [simplify]: Extracting #1: cost 25 inf + 0 80.862 * * [simplify]: Extracting #2: cost 87 inf + 2 80.863 * * [simplify]: Extracting #3: cost 118 inf + 7 80.863 * * [simplify]: Extracting #4: cost 115 inf + 135 80.864 * * [simplify]: Extracting #5: cost 102 inf + 1871 80.866 * * [simplify]: Extracting #6: cost 66 inf + 11529 80.871 * * [simplify]: Extracting #7: cost 16 inf + 40218 80.883 * * [simplify]: Extracting #8: cost 0 inf + 52100 80.897 * [simplify]: Simplified to (pow n (+ 1 (sqrt k))) 80.897 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (pow n (+ 1 (sqrt k))) (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))))) 80.897 * * * * [progress]: [ 30 / 217 ] simplifiying candidate # 80.898 * * * * [progress]: [ 31 / 217 ] simplifiying candidate # 80.898 * * * * [progress]: [ 32 / 217 ] simplifiying candidate # 80.898 * * * * [progress]: [ 33 / 217 ] simplifiying candidate # 80.898 * * * * [progress]: [ 34 / 217 ] simplifiying candidate # 80.898 * * * * [progress]: [ 35 / 217 ] simplifiying candidate # 80.898 * * * * [progress]: [ 36 / 217 ] simplifiying candidate # 80.898 * * * * [progress]: [ 37 / 217 ] simplifiying candidate # 80.898 * * * * [progress]: [ 38 / 217 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)))))> 80.898 * * * * [progress]: [ 39 / 217 ] simplifiying candidate # 80.898 * * * * [progress]: [ 40 / 217 ] simplifiying candidate # 80.898 * * * * [progress]: [ 41 / 217 ] simplifiying candidate # 80.899 * [simplify]: Simplifying (* (* (+ (log n) (+ (log 2) (log PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 80.899 * * [simplify]: iters left: 6 (17 enodes) 80.914 * * [simplify]: iters left: 5 (70 enodes) 80.938 * * [simplify]: iters left: 4 (136 enodes) 81.001 * * [simplify]: Extracting #0: cost 1 inf + 0 81.001 * * [simplify]: Extracting #1: cost 51 inf + 0 81.002 * * [simplify]: Extracting #2: cost 133 inf + 2 81.002 * * [simplify]: Extracting #3: cost 177 inf + 186 81.003 * * [simplify]: Extracting #4: cost 161 inf + 1831 81.007 * * [simplify]: Extracting #5: cost 80 inf + 21609 81.027 * * [simplify]: Extracting #6: cost 2 inf + 46935 81.044 * * [simplify]: Extracting #7: cost 0 inf + 47482 81.061 * [simplify]: Simplified to (* (fma (sqrt k) (+ (log n) (+ (log 2) (log PI))) (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 (sqrt k)) 2)) 81.061 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (fma (sqrt k) (+ (log n) (+ (log 2) (log PI))) (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 (sqrt k)) 2)))))) 81.061 * * * * [progress]: [ 42 / 217 ] simplifiying candidate # 81.062 * [simplify]: Simplifying (* (* (+ (log n) (log (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 81.062 * * [simplify]: iters left: 6 (16 enodes) 81.071 * * [simplify]: iters left: 5 (68 enodes) 81.083 * * [simplify]: iters left: 4 (129 enodes) 81.137 * * [simplify]: iters left: 3 (431 enodes) 81.491 * * [simplify]: Extracting #0: cost 1 inf + 0 81.491 * * [simplify]: Extracting #1: cost 74 inf + 0 81.493 * * [simplify]: Extracting #2: cost 273 inf + 73 81.497 * * [simplify]: Extracting #3: cost 352 inf + 2789 81.513 * * [simplify]: Extracting #4: cost 189 inf + 43551 81.556 * * [simplify]: Extracting #5: cost 18 inf + 101314 81.612 * * [simplify]: Extracting #6: cost 0 inf + 108065 81.663 * * [simplify]: Extracting #7: cost 0 inf + 108062 81.714 * [simplify]: Simplified to (/ (- (fma (+ (log n) (log (* 2 PI))) (sqrt k) (+ (log n) (log (* 2 PI)))) (* (sqrt k) (fma (+ (log n) (log (* 2 PI))) (sqrt k) (+ (log n) (log (* 2 PI)))))) 2) 81.714 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (/ (- (fma (+ (log n) (log (* 2 PI))) (sqrt k) (+ (log n) (log (* 2 PI)))) (* (sqrt k) (fma (+ (log n) (log (* 2 PI))) (sqrt k) (+ (log n) (log (* 2 PI)))))) 2))))) 81.714 * * * * [progress]: [ 43 / 217 ] simplifiying candidate # 81.714 * [simplify]: Simplifying (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 81.714 * * [simplify]: iters left: 6 (15 enodes) 81.724 * * [simplify]: iters left: 5 (67 enodes) 81.747 * * [simplify]: iters left: 4 (136 enodes) 81.813 * * [simplify]: iters left: 3 (403 enodes) 82.106 * * [simplify]: Extracting #0: cost 1 inf + 0 82.106 * * [simplify]: Extracting #1: cost 68 inf + 0 82.108 * * [simplify]: Extracting #2: cost 251 inf + 2 82.112 * * [simplify]: Extracting #3: cost 332 inf + 3858 82.130 * * [simplify]: Extracting #4: cost 207 inf + 31298 82.157 * * [simplify]: Extracting #5: cost 56 inf + 73522 82.179 * * [simplify]: Extracting #6: cost 0 inf + 92557 82.221 * [simplify]: Simplified to (/ (- (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (* (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (sqrt k))) 2) 82.221 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (/ (- (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (* (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (sqrt k))) 2))))) 82.222 * * * * [progress]: [ 44 / 217 ] simplifiying candidate # 82.222 * [simplify]: Simplifying (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 82.222 * * [simplify]: iters left: 6 (15 enodes) 82.230 * * [simplify]: iters left: 5 (67 enodes) 82.245 * * [simplify]: iters left: 4 (136 enodes) 82.284 * * [simplify]: iters left: 3 (403 enodes) 82.555 * * [simplify]: Extracting #0: cost 1 inf + 0 82.555 * * [simplify]: Extracting #1: cost 68 inf + 0 82.560 * * [simplify]: Extracting #2: cost 251 inf + 2 82.562 * * [simplify]: Extracting #3: cost 332 inf + 3858 82.571 * * [simplify]: Extracting #4: cost 207 inf + 31298 82.601 * * [simplify]: Extracting #5: cost 56 inf + 73522 82.643 * * [simplify]: Extracting #6: cost 0 inf + 92557 82.666 * [simplify]: Simplified to (/ (- (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (* (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (sqrt k))) 2) 82.666 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (/ (- (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (* (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (sqrt k))) 2))))) 82.666 * * * * [progress]: [ 45 / 217 ] simplifiying candidate # 82.667 * [simplify]: Simplifying (* (log (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 82.667 * * [simplify]: iters left: 6 (15 enodes) 82.675 * * [simplify]: iters left: 5 (64 enodes) 82.695 * * [simplify]: iters left: 4 (120 enodes) 82.721 * * [simplify]: iters left: 3 (295 enodes) 82.885 * * [simplify]: Extracting #0: cost 1 inf + 0 82.886 * * [simplify]: Extracting #1: cost 56 inf + 0 82.887 * * [simplify]: Extracting #2: cost 241 inf + 2 82.890 * * [simplify]: Extracting #3: cost 336 inf + 1293 82.896 * * [simplify]: Extracting #4: cost 272 inf + 14466 82.910 * * [simplify]: Extracting #5: cost 59 inf + 68111 82.931 * * [simplify]: Extracting #6: cost 2 inf + 88489 82.958 * * [simplify]: Extracting #7: cost 0 inf + 89265 82.990 * * [simplify]: Extracting #8: cost 0 inf + 88986 83.009 * * [simplify]: Extracting #9: cost 0 inf + 88945 83.044 * [simplify]: Simplified to (/ (- (fma (log (* (* PI 2) n)) (sqrt k) (log (* (* PI 2) n))) (* (fma (log (* (* PI 2) n)) (sqrt k) (log (* (* PI 2) n))) (sqrt k))) 2) 83.044 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (/ (- (fma (log (* (* PI 2) n)) (sqrt k) (log (* (* PI 2) n))) (* (fma (log (* (* PI 2) n)) (sqrt k) (log (* (* PI 2) n))) (sqrt k))) 2))))) 83.044 * * * * [progress]: [ 46 / 217 ] simplifiying candidate # 83.044 * * * * [progress]: [ 47 / 217 ] simplifiying candidate # 83.044 * [simplify]: Simplifying (* n (* 2 PI)) 83.045 * * [simplify]: iters left: 4 (5 enodes) 83.048 * * [simplify]: iters left: 3 (19 enodes) 83.054 * * [simplify]: iters left: 2 (27 enodes) 83.063 * * [simplify]: iters left: 1 (32 enodes) 83.071 * * [simplify]: Extracting #0: cost 1 inf + 0 83.071 * * [simplify]: Extracting #1: cost 8 inf + 0 83.071 * * [simplify]: Extracting #2: cost 7 inf + 45 83.071 * * [simplify]: Extracting #3: cost 0 inf + 421 83.072 * [simplify]: Simplified to (* (* PI 2) n) 83.072 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (* (/ (+ 1 (sqrt k)) 1) (/ (- 1 (sqrt k)) 2)))))) 83.072 * * * * [progress]: [ 48 / 217 ] simplifiying candidate # 83.072 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt k) 2)) 83.072 * * [simplify]: iters left: 6 (13 enodes) 83.079 * * [simplify]: iters left: 5 (50 enodes) 83.096 * * [simplify]: iters left: 4 (81 enodes) 83.114 * * [simplify]: iters left: 3 (136 enodes) 83.140 * * [simplify]: iters left: 2 (257 enodes) 83.244 * * [simplify]: Extracting #0: cost 1 inf + 0 83.244 * * [simplify]: Extracting #1: cost 13 inf + 0 83.245 * * [simplify]: Extracting #2: cost 63 inf + 1 83.245 * * [simplify]: Extracting #3: cost 125 inf + 5 83.246 * * [simplify]: Extracting #4: cost 133 inf + 548 83.247 * * [simplify]: Extracting #5: cost 81 inf + 9336 83.251 * * [simplify]: Extracting #6: cost 27 inf + 36849 83.258 * * [simplify]: Extracting #7: cost 0 inf + 60464 83.268 * * [simplify]: Extracting #8: cost 0 inf + 60204 83.280 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (sqrt k) 2)) 83.280 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 2)) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (sqrt k) 2)))))) 83.280 * * * * [progress]: [ 49 / 217 ] simplifiying candidate # 83.281 * [simplify]: Simplifying (cbrt (/ (- 1 (sqrt k)) 2)) 83.281 * * [simplify]: iters left: 6 (7 enodes) 83.286 * * [simplify]: iters left: 5 (29 enodes) 83.295 * * [simplify]: iters left: 4 (38 enodes) 83.306 * * [simplify]: Extracting #0: cost 1 inf + 0 83.306 * * [simplify]: Extracting #1: cost 3 inf + 0 83.306 * * [simplify]: Extracting #2: cost 8 inf + 0 83.306 * * [simplify]: Extracting #3: cost 11 inf + 2 83.306 * * [simplify]: Extracting #4: cost 13 inf + 3 83.306 * * [simplify]: Extracting #5: cost 12 inf + 4 83.306 * * [simplify]: Extracting #6: cost 3 inf + 740 83.307 * * [simplify]: Extracting #7: cost 0 inf + 1228 83.307 * [simplify]: Simplified to (cbrt (- 1/2 (/ (sqrt k) 2))) 83.307 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (* (cbrt (/ (- 1 (sqrt k)) 2)) (cbrt (/ (- 1 (sqrt k)) 2)))) (cbrt (- 1/2 (/ (sqrt k) 2))))))) 83.307 * * * * [progress]: [ 50 / 217 ] simplifiying candidate # 83.308 * [simplify]: Simplifying (sqrt (/ (- 1 (sqrt k)) 2)) 83.308 * * [simplify]: iters left: 6 (7 enodes) 83.312 * * [simplify]: iters left: 5 (29 enodes) 83.321 * * [simplify]: iters left: 4 (38 enodes) 83.332 * * [simplify]: Extracting #0: cost 1 inf + 0 83.333 * * [simplify]: Extracting #1: cost 3 inf + 0 83.333 * * [simplify]: Extracting #2: cost 8 inf + 0 83.333 * * [simplify]: Extracting #3: cost 11 inf + 2 83.333 * * [simplify]: Extracting #4: cost 13 inf + 3 83.333 * * [simplify]: Extracting #5: cost 12 inf + 4 83.333 * * [simplify]: Extracting #6: cost 3 inf + 740 83.334 * * [simplify]: Extracting #7: cost 0 inf + 1148 83.334 * [simplify]: Simplified to (sqrt (- 1/2 (/ (sqrt k) 2))) 83.334 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (sqrt (/ (- 1 (sqrt k)) 2))) (sqrt (- 1/2 (/ (sqrt k) 2))))))) 83.334 * * * * [progress]: [ 51 / 217 ] simplifiying candidate # 83.335 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) (cbrt 2)) 83.335 * * [simplify]: iters left: 6 (8 enodes) 83.339 * * [simplify]: iters left: 5 (28 enodes) 83.349 * * [simplify]: iters left: 4 (33 enodes) 83.354 * * [simplify]: Extracting #0: cost 1 inf + 0 83.354 * * [simplify]: Extracting #1: cost 4 inf + 0 83.354 * * [simplify]: Extracting #2: cost 8 inf + 0 83.354 * * [simplify]: Extracting #3: cost 9 inf + 163 83.354 * * [simplify]: Extracting #4: cost 11 inf + 164 83.354 * * [simplify]: Extracting #5: cost 10 inf + 165 83.354 * * [simplify]: Extracting #6: cost 5 inf + 491 83.355 * * [simplify]: Extracting #7: cost 0 inf + 1463 83.355 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) (cbrt 2)) 83.355 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 (sqrt k))) (cbrt 2)))))) 83.355 * * * * [progress]: [ 52 / 217 ] simplifiying candidate # 83.355 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) (sqrt 2)) 83.355 * * [simplify]: iters left: 6 (8 enodes) 83.357 * * [simplify]: iters left: 5 (28 enodes) 83.362 * * [simplify]: iters left: 4 (33 enodes) 83.367 * * [simplify]: Extracting #0: cost 1 inf + 0 83.367 * * [simplify]: Extracting #1: cost 4 inf + 0 83.367 * * [simplify]: Extracting #2: cost 8 inf + 0 83.367 * * [simplify]: Extracting #3: cost 9 inf + 83 83.367 * * [simplify]: Extracting #4: cost 11 inf + 84 83.367 * * [simplify]: Extracting #5: cost 10 inf + 85 83.367 * * [simplify]: Extracting #6: cost 5 inf + 411 83.368 * * [simplify]: Extracting #7: cost 0 inf + 1303 83.368 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) (sqrt 2)) 83.368 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) (sqrt 2))) (/ (cbrt (- 1 (sqrt k))) (sqrt 2)))))) 83.368 * * * * [progress]: [ 53 / 217 ] simplifiying candidate # 83.368 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) 2) 83.368 * * [simplify]: iters left: 6 (7 enodes) 83.370 * * [simplify]: iters left: 5 (25 enodes) 83.374 * * [simplify]: iters left: 4 (30 enodes) 83.380 * * [simplify]: Extracting #0: cost 1 inf + 0 83.380 * * [simplify]: Extracting #1: cost 4 inf + 0 83.380 * * [simplify]: Extracting #2: cost 5 inf + 1 83.380 * * [simplify]: Extracting #3: cost 9 inf + 1 83.380 * * [simplify]: Extracting #4: cost 11 inf + 2 83.380 * * [simplify]: Extracting #5: cost 10 inf + 3 83.380 * * [simplify]: Extracting #6: cost 5 inf + 330 83.381 * * [simplify]: Extracting #7: cost 2 inf + 776 83.381 * * [simplify]: Extracting #8: cost 0 inf + 1141 83.381 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) 2) 83.382 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) 1)) (/ (cbrt (- 1 (sqrt k))) 2))))) 83.382 * * * * [progress]: [ 54 / 217 ] simplifiying candidate # 83.382 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) (cbrt 2)) 83.382 * * [simplify]: iters left: 6 (8 enodes) 83.386 * * [simplify]: iters left: 5 (28 enodes) 83.400 * * [simplify]: iters left: 4 (33 enodes) 83.410 * * [simplify]: Extracting #0: cost 1 inf + 0 83.410 * * [simplify]: Extracting #1: cost 4 inf + 0 83.410 * * [simplify]: Extracting #2: cost 8 inf + 0 83.410 * * [simplify]: Extracting #3: cost 9 inf + 163 83.410 * * [simplify]: Extracting #4: cost 11 inf + 164 83.411 * * [simplify]: Extracting #5: cost 10 inf + 165 83.411 * * [simplify]: Extracting #6: cost 5 inf + 491 83.411 * * [simplify]: Extracting #7: cost 0 inf + 1303 83.412 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) (cbrt 2)) 83.412 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 (sqrt k))) (cbrt 2)))))) 83.412 * * * * [progress]: [ 55 / 217 ] simplifiying candidate # 83.412 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) (sqrt 2)) 83.412 * * [simplify]: iters left: 6 (8 enodes) 83.415 * * [simplify]: iters left: 5 (28 enodes) 83.420 * * [simplify]: iters left: 4 (33 enodes) 83.425 * * [simplify]: Extracting #0: cost 1 inf + 0 83.425 * * [simplify]: Extracting #1: cost 4 inf + 0 83.425 * * [simplify]: Extracting #2: cost 8 inf + 0 83.425 * * [simplify]: Extracting #3: cost 9 inf + 83 83.425 * * [simplify]: Extracting #4: cost 11 inf + 84 83.425 * * [simplify]: Extracting #5: cost 10 inf + 85 83.425 * * [simplify]: Extracting #6: cost 5 inf + 411 83.425 * * [simplify]: Extracting #7: cost 0 inf + 1143 83.426 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) (sqrt 2)) 83.426 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) (sqrt 2))) (/ (sqrt (- 1 (sqrt k))) (sqrt 2)))))) 83.426 * * * * [progress]: [ 56 / 217 ] simplifiying candidate # 83.426 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) 2) 83.426 * * [simplify]: iters left: 6 (7 enodes) 83.428 * * [simplify]: iters left: 5 (25 enodes) 83.432 * * [simplify]: iters left: 4 (30 enodes) 83.436 * * [simplify]: Extracting #0: cost 1 inf + 0 83.436 * * [simplify]: Extracting #1: cost 4 inf + 0 83.436 * * [simplify]: Extracting #2: cost 5 inf + 1 83.436 * * [simplify]: Extracting #3: cost 9 inf + 1 83.436 * * [simplify]: Extracting #4: cost 11 inf + 2 83.436 * * [simplify]: Extracting #5: cost 10 inf + 3 83.436 * * [simplify]: Extracting #6: cost 5 inf + 330 83.436 * * [simplify]: Extracting #7: cost 2 inf + 696 83.437 * * [simplify]: Extracting #8: cost 0 inf + 981 83.437 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) 2) 83.437 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) 1)) (/ (sqrt (- 1 (sqrt k))) 2))))) 83.437 * * * * [progress]: [ 57 / 217 ] simplifiying candidate # 83.437 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 83.437 * * [simplify]: iters left: 5 (7 enodes) 83.439 * * [simplify]: iters left: 4 (28 enodes) 83.444 * * [simplify]: iters left: 3 (39 enodes) 83.451 * * [simplify]: iters left: 2 (43 enodes) 83.457 * * [simplify]: Extracting #0: cost 1 inf + 0 83.457 * * [simplify]: Extracting #1: cost 7 inf + 0 83.457 * * [simplify]: Extracting #2: cost 16 inf + 0 83.458 * * [simplify]: Extracting #3: cost 15 inf + 164 83.458 * * [simplify]: Extracting #4: cost 13 inf + 287 83.458 * * [simplify]: Extracting #5: cost 5 inf + 1180 83.459 * * [simplify]: Extracting #6: cost 0 inf + 1951 83.459 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 83.459 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 83.459 * * * * [progress]: [ 58 / 217 ] simplifiying candidate # 83.460 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 83.460 * * [simplify]: iters left: 5 (7 enodes) 83.464 * * [simplify]: iters left: 4 (28 enodes) 83.474 * * [simplify]: iters left: 3 (39 enodes) 83.486 * * [simplify]: iters left: 2 (43 enodes) 83.499 * * [simplify]: Extracting #0: cost 1 inf + 0 83.499 * * [simplify]: Extracting #1: cost 7 inf + 0 83.499 * * [simplify]: Extracting #2: cost 16 inf + 0 83.500 * * [simplify]: Extracting #3: cost 15 inf + 84 83.500 * * [simplify]: Extracting #4: cost 13 inf + 167 83.500 * * [simplify]: Extracting #5: cost 5 inf + 900 83.501 * * [simplify]: Extracting #6: cost 0 inf + 1551 83.501 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 83.501 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 83.501 * * * * [progress]: [ 59 / 217 ] simplifiying candidate # 83.502 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 83.502 * * [simplify]: iters left: 5 (6 enodes) 83.506 * * [simplify]: iters left: 4 (26 enodes) 83.518 * * [simplify]: iters left: 3 (35 enodes) 83.529 * * [simplify]: Extracting #0: cost 1 inf + 0 83.529 * * [simplify]: Extracting #1: cost 6 inf + 0 83.529 * * [simplify]: Extracting #2: cost 9 inf + 2 83.529 * * [simplify]: Extracting #3: cost 11 inf + 3 83.529 * * [simplify]: Extracting #4: cost 10 inf + 4 83.529 * * [simplify]: Extracting #5: cost 3 inf + 535 83.530 * * [simplify]: Extracting #6: cost 0 inf + 822 83.530 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 83.530 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 1)) (/ (- 1 (sqrt k)) 2))))) 83.531 * * * * [progress]: [ 60 / 217 ] simplifiying candidate # 83.531 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (cbrt 2)) 83.531 * * [simplify]: iters left: 6 (9 enodes) 83.537 * * [simplify]: iters left: 5 (34 enodes) 83.548 * * [simplify]: iters left: 4 (48 enodes) 83.562 * * [simplify]: iters left: 3 (54 enodes) 83.577 * * [simplify]: iters left: 2 (55 enodes) 83.592 * * [simplify]: iters left: 1 (56 enodes) 83.607 * * [simplify]: Extracting #0: cost 1 inf + 0 83.607 * * [simplify]: Extracting #1: cost 8 inf + 0 83.607 * * [simplify]: Extracting #2: cost 18 inf + 0 83.607 * * [simplify]: Extracting #3: cost 17 inf + 164 83.608 * * [simplify]: Extracting #4: cost 16 inf + 530 83.608 * * [simplify]: Extracting #5: cost 12 inf + 735 83.608 * * [simplify]: Extracting #6: cost 4 inf + 1787 83.609 * * [simplify]: Extracting #7: cost 1 inf + 2515 83.610 * * [simplify]: Extracting #8: cost 0 inf + 2757 83.611 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 83.611 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2)))))) 83.611 * * * * [progress]: [ 61 / 217 ] simplifiying candidate # 83.611 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (sqrt 2)) 83.612 * * [simplify]: iters left: 6 (9 enodes) 83.617 * * [simplify]: iters left: 5 (34 enodes) 83.625 * * [simplify]: iters left: 4 (48 enodes) 83.632 * * [simplify]: iters left: 3 (54 enodes) 83.639 * * [simplify]: iters left: 2 (55 enodes) 83.649 * * [simplify]: iters left: 1 (56 enodes) 83.660 * * [simplify]: Extracting #0: cost 1 inf + 0 83.660 * * [simplify]: Extracting #1: cost 8 inf + 0 83.661 * * [simplify]: Extracting #2: cost 18 inf + 0 83.661 * * [simplify]: Extracting #3: cost 17 inf + 84 83.661 * * [simplify]: Extracting #4: cost 16 inf + 330 83.661 * * [simplify]: Extracting #5: cost 12 inf + 495 83.662 * * [simplify]: Extracting #6: cost 4 inf + 1467 83.662 * * [simplify]: Extracting #7: cost 1 inf + 2075 83.663 * * [simplify]: Extracting #8: cost 0 inf + 2277 83.664 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 83.664 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2)))))) 83.664 * * * * [progress]: [ 62 / 217 ] simplifiying candidate # 83.664 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) 2) 83.665 * * [simplify]: iters left: 6 (8 enodes) 83.669 * * [simplify]: iters left: 5 (31 enodes) 83.680 * * [simplify]: iters left: 4 (46 enodes) 83.691 * * [simplify]: iters left: 3 (49 enodes) 83.705 * * [simplify]: Extracting #0: cost 1 inf + 0 83.705 * * [simplify]: Extracting #1: cost 7 inf + 0 83.705 * * [simplify]: Extracting #2: cost 11 inf + 2 83.705 * * [simplify]: Extracting #3: cost 13 inf + 3 83.705 * * [simplify]: Extracting #4: cost 15 inf + 3 83.705 * * [simplify]: Extracting #5: cost 13 inf + 45 83.706 * * [simplify]: Extracting #6: cost 5 inf + 898 83.706 * * [simplify]: Extracting #7: cost 0 inf + 1628 83.707 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 83.707 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2))))) 83.707 * * * * [progress]: [ 63 / 217 ] simplifiying candidate # 83.707 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (cbrt 2)) 83.707 * * [simplify]: iters left: 6 (9 enodes) 83.714 * * [simplify]: iters left: 5 (34 enodes) 83.724 * * [simplify]: iters left: 4 (48 enodes) 83.732 * * [simplify]: iters left: 3 (54 enodes) 83.740 * * [simplify]: iters left: 2 (55 enodes) 83.747 * * [simplify]: iters left: 1 (56 enodes) 83.755 * * [simplify]: Extracting #0: cost 1 inf + 0 83.756 * * [simplify]: Extracting #1: cost 8 inf + 0 83.756 * * [simplify]: Extracting #2: cost 18 inf + 0 83.756 * * [simplify]: Extracting #3: cost 17 inf + 164 83.756 * * [simplify]: Extracting #4: cost 16 inf + 530 83.756 * * [simplify]: Extracting #5: cost 12 inf + 735 83.757 * * [simplify]: Extracting #6: cost 4 inf + 1787 83.757 * * [simplify]: Extracting #7: cost 1 inf + 2515 83.758 * * [simplify]: Extracting #8: cost 0 inf + 2757 83.759 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 83.759 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2)))))) 83.759 * * * * [progress]: [ 64 / 217 ] simplifiying candidate # 83.760 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (sqrt 2)) 83.760 * * [simplify]: iters left: 6 (9 enodes) 83.769 * * [simplify]: iters left: 5 (34 enodes) 83.780 * * [simplify]: iters left: 4 (48 enodes) 83.794 * * [simplify]: iters left: 3 (54 enodes) 83.809 * * [simplify]: iters left: 2 (55 enodes) 83.824 * * [simplify]: iters left: 1 (56 enodes) 83.839 * * [simplify]: Extracting #0: cost 1 inf + 0 83.839 * * [simplify]: Extracting #1: cost 8 inf + 0 83.839 * * [simplify]: Extracting #2: cost 18 inf + 0 83.839 * * [simplify]: Extracting #3: cost 17 inf + 84 83.839 * * [simplify]: Extracting #4: cost 16 inf + 330 83.840 * * [simplify]: Extracting #5: cost 12 inf + 495 83.840 * * [simplify]: Extracting #6: cost 4 inf + 1467 83.841 * * [simplify]: Extracting #7: cost 1 inf + 2075 83.841 * * [simplify]: Extracting #8: cost 0 inf + 2277 83.842 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 83.842 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2)))))) 83.843 * * * * [progress]: [ 65 / 217 ] simplifiying candidate # 83.843 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) 2) 83.843 * * [simplify]: iters left: 6 (8 enodes) 83.848 * * [simplify]: iters left: 5 (31 enodes) 83.859 * * [simplify]: iters left: 4 (46 enodes) 83.871 * * [simplify]: iters left: 3 (49 enodes) 83.884 * * [simplify]: Extracting #0: cost 1 inf + 0 83.884 * * [simplify]: Extracting #1: cost 7 inf + 0 83.884 * * [simplify]: Extracting #2: cost 11 inf + 2 83.884 * * [simplify]: Extracting #3: cost 13 inf + 3 83.884 * * [simplify]: Extracting #4: cost 15 inf + 3 83.884 * * [simplify]: Extracting #5: cost 13 inf + 45 83.884 * * [simplify]: Extracting #6: cost 5 inf + 898 83.885 * * [simplify]: Extracting #7: cost 0 inf + 1628 83.885 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 83.886 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2))))) 83.886 * * * * [progress]: [ 66 / 217 ] simplifiying candidate # 83.886 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 83.886 * * [simplify]: iters left: 6 (8 enodes) 83.891 * * [simplify]: iters left: 5 (31 enodes) 83.901 * * [simplify]: iters left: 4 (42 enodes) 83.913 * * [simplify]: iters left: 3 (46 enodes) 83.930 * * [simplify]: Extracting #0: cost 1 inf + 0 83.930 * * [simplify]: Extracting #1: cost 7 inf + 0 83.930 * * [simplify]: Extracting #2: cost 16 inf + 0 83.930 * * [simplify]: Extracting #3: cost 17 inf + 2 83.930 * * [simplify]: Extracting #4: cost 15 inf + 408 83.930 * * [simplify]: Extracting #5: cost 14 inf + 409 83.931 * * [simplify]: Extracting #6: cost 9 inf + 975 83.931 * * [simplify]: Extracting #7: cost 1 inf + 2270 83.932 * * [simplify]: Extracting #8: cost 0 inf + 2513 83.933 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 83.933 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2)))))) 83.933 * * * * [progress]: [ 67 / 217 ] simplifiying candidate # 83.934 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 83.934 * * [simplify]: iters left: 6 (8 enodes) 83.939 * * [simplify]: iters left: 5 (31 enodes) 83.949 * * [simplify]: iters left: 4 (42 enodes) 83.961 * * [simplify]: iters left: 3 (46 enodes) 83.974 * * [simplify]: Extracting #0: cost 1 inf + 0 83.974 * * [simplify]: Extracting #1: cost 7 inf + 0 83.975 * * [simplify]: Extracting #2: cost 16 inf + 0 83.975 * * [simplify]: Extracting #3: cost 17 inf + 2 83.975 * * [simplify]: Extracting #4: cost 15 inf + 248 83.975 * * [simplify]: Extracting #5: cost 14 inf + 249 83.975 * * [simplify]: Extracting #6: cost 9 inf + 775 83.976 * * [simplify]: Extracting #7: cost 1 inf + 1910 83.977 * * [simplify]: Extracting #8: cost 0 inf + 2113 83.977 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 83.977 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2)))))) 83.978 * * * * [progress]: [ 68 / 217 ] simplifiying candidate # 83.978 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) 2) 83.978 * * [simplify]: iters left: 6 (7 enodes) 83.982 * * [simplify]: iters left: 5 (29 enodes) 83.992 * * [simplify]: iters left: 4 (38 enodes) 84.003 * * [simplify]: Extracting #0: cost 1 inf + 0 84.003 * * [simplify]: Extracting #1: cost 6 inf + 0 84.003 * * [simplify]: Extracting #2: cost 9 inf + 2 84.003 * * [simplify]: Extracting #3: cost 11 inf + 3 84.003 * * [simplify]: Extracting #4: cost 13 inf + 3 84.003 * * [simplify]: Extracting #5: cost 12 inf + 4 84.003 * * [simplify]: Extracting #6: cost 9 inf + 167 84.004 * * [simplify]: Extracting #7: cost 0 inf + 1304 84.004 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 84.004 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2))))) 84.004 * * * * [progress]: [ 69 / 217 ] simplifiying candidate # 84.005 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 84.005 * * [simplify]: iters left: 6 (8 enodes) 84.009 * * [simplify]: iters left: 5 (31 enodes) 84.019 * * [simplify]: iters left: 4 (42 enodes) 84.032 * * [simplify]: iters left: 3 (46 enodes) 84.046 * * [simplify]: Extracting #0: cost 1 inf + 0 84.046 * * [simplify]: Extracting #1: cost 7 inf + 0 84.046 * * [simplify]: Extracting #2: cost 16 inf + 0 84.046 * * [simplify]: Extracting #3: cost 17 inf + 2 84.046 * * [simplify]: Extracting #4: cost 15 inf + 408 84.046 * * [simplify]: Extracting #5: cost 14 inf + 409 84.047 * * [simplify]: Extracting #6: cost 9 inf + 975 84.047 * * [simplify]: Extracting #7: cost 1 inf + 2270 84.048 * * [simplify]: Extracting #8: cost 0 inf + 2513 84.049 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 84.049 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2)))))) 84.049 * * * * [progress]: [ 70 / 217 ] simplifiying candidate # 84.050 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 84.050 * * [simplify]: iters left: 6 (8 enodes) 84.054 * * [simplify]: iters left: 5 (31 enodes) 84.064 * * [simplify]: iters left: 4 (42 enodes) 84.077 * * [simplify]: iters left: 3 (46 enodes) 84.094 * * [simplify]: Extracting #0: cost 1 inf + 0 84.094 * * [simplify]: Extracting #1: cost 7 inf + 0 84.094 * * [simplify]: Extracting #2: cost 16 inf + 0 84.094 * * [simplify]: Extracting #3: cost 17 inf + 2 84.094 * * [simplify]: Extracting #4: cost 15 inf + 248 84.095 * * [simplify]: Extracting #5: cost 14 inf + 249 84.095 * * [simplify]: Extracting #6: cost 9 inf + 775 84.095 * * [simplify]: Extracting #7: cost 1 inf + 1910 84.096 * * [simplify]: Extracting #8: cost 0 inf + 2113 84.097 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 84.097 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2)))))) 84.097 * * * * [progress]: [ 71 / 217 ] simplifiying candidate # 84.097 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) 2) 84.098 * * [simplify]: iters left: 6 (7 enodes) 84.102 * * [simplify]: iters left: 5 (29 enodes) 84.111 * * [simplify]: iters left: 4 (38 enodes) 84.118 * * [simplify]: Extracting #0: cost 1 inf + 0 84.118 * * [simplify]: Extracting #1: cost 6 inf + 0 84.118 * * [simplify]: Extracting #2: cost 9 inf + 2 84.118 * * [simplify]: Extracting #3: cost 11 inf + 3 84.118 * * [simplify]: Extracting #4: cost 13 inf + 3 84.118 * * [simplify]: Extracting #5: cost 12 inf + 4 84.118 * * [simplify]: Extracting #6: cost 9 inf + 167 84.118 * * [simplify]: Extracting #7: cost 0 inf + 1304 84.118 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 84.118 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2))))) 84.119 * * * * [progress]: [ 72 / 217 ] simplifiying candidate # 84.119 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 84.119 * * [simplify]: iters left: 5 (8 enodes) 84.121 * * [simplify]: iters left: 4 (31 enodes) 84.127 * * [simplify]: iters left: 3 (45 enodes) 84.134 * * [simplify]: iters left: 2 (51 enodes) 84.141 * * [simplify]: iters left: 1 (52 enodes) 84.152 * * [simplify]: Extracting #0: cost 1 inf + 0 84.152 * * [simplify]: Extracting #1: cost 8 inf + 0 84.152 * * [simplify]: Extracting #2: cost 18 inf + 0 84.152 * * [simplify]: Extracting #3: cost 19 inf + 2 84.153 * * [simplify]: Extracting #4: cost 9 inf + 977 84.153 * * [simplify]: Extracting #5: cost 2 inf + 1790 84.154 * * [simplify]: Extracting #6: cost 0 inf + 2195 84.155 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 84.155 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 84.155 * * * * [progress]: [ 73 / 217 ] simplifiying candidate # 84.155 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 84.155 * * [simplify]: iters left: 5 (8 enodes) 84.161 * * [simplify]: iters left: 4 (31 enodes) 84.171 * * [simplify]: iters left: 3 (45 enodes) 84.184 * * [simplify]: iters left: 2 (51 enodes) 84.198 * * [simplify]: iters left: 1 (52 enodes) 84.216 * * [simplify]: Extracting #0: cost 1 inf + 0 84.216 * * [simplify]: Extracting #1: cost 8 inf + 0 84.216 * * [simplify]: Extracting #2: cost 18 inf + 0 84.216 * * [simplify]: Extracting #3: cost 19 inf + 2 84.216 * * [simplify]: Extracting #4: cost 9 inf + 697 84.217 * * [simplify]: Extracting #5: cost 2 inf + 1390 84.217 * * [simplify]: Extracting #6: cost 0 inf + 1715 84.218 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 84.218 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 84.218 * * * * [progress]: [ 74 / 217 ] simplifiying candidate # 84.218 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 84.218 * * [simplify]: iters left: 5 (7 enodes) 84.221 * * [simplify]: iters left: 4 (29 enodes) 84.226 * * [simplify]: iters left: 3 (43 enodes) 84.232 * * [simplify]: iters left: 2 (47 enodes) 84.239 * * [simplify]: Extracting #0: cost 1 inf + 0 84.239 * * [simplify]: Extracting #1: cost 7 inf + 0 84.239 * * [simplify]: Extracting #2: cost 11 inf + 2 84.239 * * [simplify]: Extracting #3: cost 13 inf + 3 84.239 * * [simplify]: Extracting #4: cost 11 inf + 45 84.239 * * [simplify]: Extracting #5: cost 0 inf + 1066 84.239 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 84.239 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) 1)) (/ (- 1 (sqrt k)) 2))))) 84.239 * * * * [progress]: [ 75 / 217 ] simplifiying candidate # 84.240 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 84.240 * * [simplify]: iters left: 5 (7 enodes) 84.242 * * [simplify]: iters left: 4 (28 enodes) 84.247 * * [simplify]: iters left: 3 (39 enodes) 84.254 * * [simplify]: iters left: 2 (43 enodes) 84.267 * * [simplify]: Extracting #0: cost 1 inf + 0 84.267 * * [simplify]: Extracting #1: cost 7 inf + 0 84.267 * * [simplify]: Extracting #2: cost 16 inf + 0 84.267 * * [simplify]: Extracting #3: cost 15 inf + 164 84.267 * * [simplify]: Extracting #4: cost 13 inf + 287 84.267 * * [simplify]: Extracting #5: cost 5 inf + 1180 84.268 * * [simplify]: Extracting #6: cost 0 inf + 1951 84.269 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 84.269 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 84.269 * * * * [progress]: [ 76 / 217 ] simplifiying candidate # 84.269 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 84.269 * * [simplify]: iters left: 5 (7 enodes) 84.274 * * [simplify]: iters left: 4 (28 enodes) 84.283 * * [simplify]: iters left: 3 (39 enodes) 84.290 * * [simplify]: iters left: 2 (43 enodes) 84.296 * * [simplify]: Extracting #0: cost 1 inf + 0 84.296 * * [simplify]: Extracting #1: cost 7 inf + 0 84.296 * * [simplify]: Extracting #2: cost 16 inf + 0 84.296 * * [simplify]: Extracting #3: cost 15 inf + 84 84.297 * * [simplify]: Extracting #4: cost 13 inf + 167 84.297 * * [simplify]: Extracting #5: cost 5 inf + 900 84.297 * * [simplify]: Extracting #6: cost 0 inf + 1551 84.297 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 84.297 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 84.297 * * * * [progress]: [ 77 / 217 ] simplifiying candidate # 84.298 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 84.298 * * [simplify]: iters left: 5 (6 enodes) 84.300 * * [simplify]: iters left: 4 (26 enodes) 84.304 * * [simplify]: iters left: 3 (35 enodes) 84.312 * * [simplify]: Extracting #0: cost 1 inf + 0 84.312 * * [simplify]: Extracting #1: cost 6 inf + 0 84.312 * * [simplify]: Extracting #2: cost 9 inf + 2 84.312 * * [simplify]: Extracting #3: cost 11 inf + 3 84.312 * * [simplify]: Extracting #4: cost 10 inf + 4 84.312 * * [simplify]: Extracting #5: cost 3 inf + 535 84.312 * * [simplify]: Extracting #6: cost 0 inf + 822 84.312 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 84.312 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 1)) (/ (- 1 (sqrt k)) 2))))) 84.312 * * * * [progress]: [ 78 / 217 ] simplifiying candidate # 84.313 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 84.313 * * [simplify]: iters left: 5 (6 enodes) 84.315 * * [simplify]: iters left: 4 (26 enodes) 84.322 * * [simplify]: iters left: 3 (35 enodes) 84.332 * * [simplify]: Extracting #0: cost 1 inf + 0 84.332 * * [simplify]: Extracting #1: cost 6 inf + 0 84.332 * * [simplify]: Extracting #2: cost 9 inf + 2 84.332 * * [simplify]: Extracting #3: cost 11 inf + 3 84.333 * * [simplify]: Extracting #4: cost 10 inf + 4 84.333 * * [simplify]: Extracting #5: cost 3 inf + 535 84.333 * * [simplify]: Extracting #6: cost 0 inf + 822 84.333 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 84.334 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) 1) (/ (- 1 (sqrt k)) 2))))) 84.334 * * * * [progress]: [ 79 / 217 ] simplifiying candidate # 84.334 * [simplify]: Simplifying (/ 1 2) 84.334 * * [simplify]: iters left: 2 (3 enodes) 84.337 * * [simplify]: iters left: 1 (12 enodes) 84.342 * * [simplify]: Extracting #0: cost 1 inf + 0 84.342 * * [simplify]: Extracting #1: cost 0 inf + 1 84.342 * [simplify]: Simplified to 1/2 84.342 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (- 1 (sqrt k))) 1/2)))) 84.342 * * * * [progress]: [ 80 / 217 ] simplifiying candidate # 84.342 * [simplify]: Simplifying (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 84.342 * * [simplify]: iters left: 6 (11 enodes) 84.349 * * [simplify]: iters left: 5 (46 enodes) 84.365 * * [simplify]: iters left: 4 (80 enodes) 84.390 * * [simplify]: iters left: 3 (135 enodes) 84.430 * * [simplify]: iters left: 2 (262 enodes) 84.527 * * [simplify]: Extracting #0: cost 1 inf + 0 84.527 * * [simplify]: Extracting #1: cost 14 inf + 0 84.527 * * [simplify]: Extracting #2: cost 66 inf + 1 84.528 * * [simplify]: Extracting #3: cost 127 inf + 6 84.529 * * [simplify]: Extracting #4: cost 147 inf + 11 84.530 * * [simplify]: Extracting #5: cost 138 inf + 1287 84.535 * * [simplify]: Extracting #6: cost 63 inf + 18963 84.540 * * [simplify]: Extracting #7: cost 21 inf + 37871 84.547 * * [simplify]: Extracting #8: cost 0 inf + 56654 84.554 * * [simplify]: Extracting #9: cost 0 inf + 56392 84.564 * [simplify]: Simplified to (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 84.564 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 84.565 * * * * [progress]: [ 81 / 217 ] simplifiying candidate # 84.565 * [simplify]: Simplifying (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) 84.565 * * [simplify]: iters left: 6 (16 enodes) 84.570 * * [simplify]: iters left: 5 (65 enodes) 84.580 * * [simplify]: iters left: 4 (103 enodes) 84.598 * * [simplify]: iters left: 3 (168 enodes) 84.645 * * [simplify]: iters left: 2 (313 enodes) 84.733 * * [simplify]: Extracting #0: cost 1 inf + 0 84.733 * * [simplify]: Extracting #1: cost 13 inf + 0 84.733 * * [simplify]: Extracting #2: cost 57 inf + 1 84.734 * * [simplify]: Extracting #3: cost 91 inf + 6 84.734 * * [simplify]: Extracting #4: cost 108 inf + 10 84.735 * * [simplify]: Extracting #5: cost 144 inf + 134 84.738 * * [simplify]: Extracting #6: cost 119 inf + 5834 84.746 * * [simplify]: Extracting #7: cost 50 inf + 27411 84.767 * * [simplify]: Extracting #8: cost 6 inf + 63479 84.778 * * [simplify]: Extracting #9: cost 0 inf + 68794 84.788 * [simplify]: Simplified to (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) 84.788 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 84.788 * * * * [progress]: [ 82 / 217 ] simplifiying candidate # 84.789 * [simplify]: Simplifying (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 84.789 * * [simplify]: iters left: 6 (15 enodes) 84.793 * * [simplify]: iters left: 5 (62 enodes) 84.806 * * [simplify]: iters left: 4 (101 enodes) 84.837 * * [simplify]: iters left: 3 (167 enodes) 84.878 * * [simplify]: iters left: 2 (315 enodes) 84.992 * * [simplify]: Extracting #0: cost 1 inf + 0 84.992 * * [simplify]: Extracting #1: cost 14 inf + 0 84.993 * * [simplify]: Extracting #2: cost 59 inf + 1 84.993 * * [simplify]: Extracting #3: cost 106 inf + 6 84.993 * * [simplify]: Extracting #4: cost 152 inf + 10 84.994 * * [simplify]: Extracting #5: cost 158 inf + 359 85.000 * * [simplify]: Extracting #6: cost 72 inf + 25399 85.008 * * [simplify]: Extracting #7: cost 5 inf + 61902 85.016 * * [simplify]: Extracting #8: cost 0 inf + 64859 85.025 * [simplify]: Simplified to (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 85.025 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 85.025 * * * * [progress]: [ 83 / 217 ] simplifiying candidate # 85.025 * [simplify]: Simplifying (pow 1 (/ (- 1 (sqrt k)) 2)) 85.026 * * [simplify]: iters left: 6 (7 enodes) 85.028 * * [simplify]: iters left: 5 (27 enodes) 85.032 * * [simplify]: iters left: 4 (36 enodes) 85.038 * * [simplify]: Extracting #0: cost 1 inf + 0 85.038 * * [simplify]: Extracting #1: cost 0 inf + 1 85.038 * [simplify]: Simplified to 1 85.038 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* 1 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 85.038 * * * * [progress]: [ 84 / 217 ] simplifiying candidate # 85.038 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) 85.038 * * [simplify]: iters left: 6 (15 enodes) 85.044 * * [simplify]: iters left: 5 (64 enodes) 85.064 * * [simplify]: iters left: 4 (107 enodes) 85.084 * * [simplify]: iters left: 3 (172 enodes) 85.126 * * [simplify]: iters left: 2 (308 enodes) 85.244 * * [simplify]: Extracting #0: cost 1 inf + 0 85.244 * * [simplify]: Extracting #1: cost 13 inf + 0 85.244 * * [simplify]: Extracting #2: cost 65 inf + 1 85.244 * * [simplify]: Extracting #3: cost 139 inf + 5 85.245 * * [simplify]: Extracting #4: cost 163 inf + 137 85.246 * * [simplify]: Extracting #5: cost 156 inf + 677 85.248 * * [simplify]: Extracting #6: cost 90 inf + 10197 85.253 * * [simplify]: Extracting #7: cost 37 inf + 36450 85.263 * * [simplify]: Extracting #8: cost 1 inf + 71295 85.284 * * [simplify]: Extracting #9: cost 0 inf + 71579 85.304 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 85.304 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 85.305 * * * * [progress]: [ 85 / 217 ] simplifiying candidate # 85.305 * * * * [progress]: [ 86 / 217 ] simplifiying candidate # 85.305 * * * * [progress]: [ 87 / 217 ] simplifiying candidate # 85.305 * * * * [progress]: [ 88 / 217 ] simplifiying candidate # 85.305 * * * * [progress]: [ 89 / 217 ] simplifiying candidate # 85.305 * * * * [progress]: [ 90 / 217 ] simplifiying candidate # 85.305 * * * * [progress]: [ 91 / 217 ] simplifiying candidate # 85.305 * * * * [progress]: [ 92 / 217 ] simplifiying candidate # 85.305 * * * * [progress]: [ 93 / 217 ] simplifiying candidate #real (real->posit16 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))))> 85.305 * * * * [progress]: [ 94 / 217 ] simplifiying candidate # 85.305 * * * * [progress]: [ 95 / 217 ] simplifiying candidate # 85.306 * * * * [progress]: [ 96 / 217 ] simplifiying candidate # 85.306 * [simplify]: Simplifying (* n (* 2 PI)) 85.306 * * [simplify]: iters left: 4 (5 enodes) 85.309 * * [simplify]: iters left: 3 (19 enodes) 85.315 * * [simplify]: iters left: 2 (27 enodes) 85.322 * * [simplify]: iters left: 1 (32 enodes) 85.330 * * [simplify]: Extracting #0: cost 1 inf + 0 85.330 * * [simplify]: Extracting #1: cost 8 inf + 0 85.331 * * [simplify]: Extracting #2: cost 7 inf + 45 85.331 * * [simplify]: Extracting #3: cost 0 inf + 421 85.331 * [simplify]: Simplified to (* (* PI 2) n) 85.331 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* (* PI 2) n) 1) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 85.331 * * * * [progress]: [ 97 / 217 ] simplifiying candidate # 85.332 * [simplify]: Simplifying (* n (* 2 PI)) 85.332 * * [simplify]: iters left: 4 (5 enodes) 85.335 * * [simplify]: iters left: 3 (19 enodes) 85.340 * * [simplify]: iters left: 2 (27 enodes) 85.353 * * [simplify]: iters left: 1 (32 enodes) 85.357 * * [simplify]: Extracting #0: cost 1 inf + 0 85.357 * * [simplify]: Extracting #1: cost 8 inf + 0 85.357 * * [simplify]: Extracting #2: cost 7 inf + 45 85.357 * * [simplify]: Extracting #3: cost 0 inf + 421 85.357 * [simplify]: Simplified to (* (* PI 2) n) 85.358 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* (* PI 2) n) 1) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 85.358 * * * * [progress]: [ 98 / 217 ] simplifiying candidate # 85.358 * * * * [progress]: [ 99 / 217 ] simplifiying candidate # 85.358 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 85.358 * * [simplify]: iters left: 5 (8 enodes) 85.360 * * [simplify]: iters left: 4 (28 enodes) 85.364 * * [simplify]: iters left: 3 (36 enodes) 85.370 * * [simplify]: iters left: 2 (42 enodes) 85.375 * * [simplify]: Extracting #0: cost 1 inf + 0 85.375 * * [simplify]: Extracting #1: cost 8 inf + 0 85.375 * * [simplify]: Extracting #2: cost 17 inf + 0 85.375 * * [simplify]: Extracting #3: cost 12 inf + 145 85.375 * * [simplify]: Extracting #4: cost 5 inf + 1197 85.376 * * [simplify]: Extracting #5: cost 1 inf + 1925 85.376 * * [simplify]: Extracting #6: cost 0 inf + 2107 85.376 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 85.376 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 85.376 * * * * [progress]: [ 100 / 217 ] simplifiying candidate # 85.377 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 85.377 * * [simplify]: iters left: 5 (7 enodes) 85.379 * * [simplify]: iters left: 4 (26 enodes) 85.383 * * [simplify]: iters left: 3 (35 enodes) 85.388 * * [simplify]: iters left: 2 (44 enodes) 85.394 * * [simplify]: Extracting #0: cost 1 inf + 0 85.394 * * [simplify]: Extracting #1: cost 8 inf + 0 85.394 * * [simplify]: Extracting #2: cost 18 inf + 0 85.394 * * [simplify]: Extracting #3: cost 15 inf + 74 85.394 * * [simplify]: Extracting #4: cost 8 inf + 554 85.394 * * [simplify]: Extracting #5: cost 0 inf + 1911 85.395 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 85.395 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (exp (+ (log n) (log (* 2 PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 85.395 * * * * [progress]: [ 101 / 217 ] simplifiying candidate # 85.395 * * * * [progress]: [ 102 / 217 ] simplifiying candidate # 85.395 * * * * [progress]: [ 103 / 217 ] simplifiying candidate # 85.395 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 85.395 * * [simplify]: iters left: 6 (11 enodes) 85.399 * * [simplify]: iters left: 5 (48 enodes) 85.415 * * [simplify]: iters left: 4 (121 enodes) 85.446 * * [simplify]: iters left: 3 (348 enodes) 85.588 * * [simplify]: Extracting #0: cost 1 inf + 0 85.589 * * [simplify]: Extracting #1: cost 67 inf + 0 85.589 * * [simplify]: Extracting #2: cost 165 inf + 786 85.592 * * [simplify]: Extracting #3: cost 85 inf + 10177 85.608 * * [simplify]: Extracting #4: cost 9 inf + 26399 85.621 * * [simplify]: Extracting #5: cost 0 inf + 28546 85.629 * * [simplify]: Extracting #6: cost 0 inf + 28506 85.635 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 85.635 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 85.636 * * * * [progress]: [ 104 / 217 ] simplifiying candidate # 85.636 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 85.636 * * [simplify]: iters left: 6 (9 enodes) 85.639 * * [simplify]: iters left: 5 (45 enodes) 85.648 * * [simplify]: iters left: 4 (117 enodes) 85.682 * * [simplify]: iters left: 3 (374 enodes) 85.964 * * [simplify]: Extracting #0: cost 1 inf + 0 85.964 * * [simplify]: Extracting #1: cost 77 inf + 0 85.966 * * [simplify]: Extracting #2: cost 184 inf + 984 85.978 * * [simplify]: Extracting #3: cost 106 inf + 11690 85.987 * * [simplify]: Extracting #4: cost 6 inf + 30376 85.996 * * [simplify]: Extracting #5: cost 0 inf + 31644 86.006 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 86.006 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 86.006 * * * * [progress]: [ 105 / 217 ] simplifiying candidate # 86.006 * * * * [progress]: [ 106 / 217 ] simplifiying candidate # 86.006 * * * * [progress]: [ 107 / 217 ] simplifiying candidate # 86.006 * * * * [progress]: [ 108 / 217 ] simplifiying candidate # 86.006 * * * * [progress]: [ 109 / 217 ] simplifiying candidate # 86.006 * * * * [progress]: [ 110 / 217 ] simplifiying candidate # 86.007 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 86.007 * * [simplify]: iters left: 3 (3 enodes) 86.007 * * [simplify]: iters left: 2 (9 enodes) 86.009 * * [simplify]: Extracting #0: cost 1 inf + 0 86.009 * * [simplify]: Extracting #1: cost 3 inf + 0 86.009 * * [simplify]: Extracting #2: cost 5 inf + 0 86.009 * * [simplify]: Extracting #3: cost 4 inf + 1 86.009 * * [simplify]: Extracting #4: cost 0 inf + 405 86.009 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 86.009 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 86.009 * * * * [progress]: [ 111 / 217 ] simplifiying candidate # 86.009 * [simplify]: Simplifying (sqrt n) 86.009 * * [simplify]: iters left: 1 (2 enodes) 86.010 * * [simplify]: Extracting #0: cost 1 inf + 0 86.010 * * [simplify]: Extracting #1: cost 3 inf + 0 86.010 * * [simplify]: Extracting #2: cost 2 inf + 1 86.010 * * [simplify]: Extracting #3: cost 0 inf + 83 86.010 * [simplify]: Simplified to (sqrt n) 86.010 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 86.010 * * * * [progress]: [ 112 / 217 ] simplifiying candidate # 86.010 * * * * [progress]: [ 113 / 217 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))> 86.010 * * * * [progress]: [ 114 / 217 ] simplifiying candidate # 86.010 * * * * [progress]: [ 115 / 217 ] simplifiying candidate # 86.010 * * * * [progress]: [ 116 / 217 ] simplifiying candidate # 86.010 * * * * [progress]: [ 117 / 217 ] simplifiying candidate # 86.010 * * * * [progress]: [ 118 / 217 ] simplifiying candidate # 86.010 * [simplify]: Simplifying (- (log (sqrt k)) (* (* (+ (log n) (+ (log 2) (log PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 86.011 * * [simplify]: iters left: 6 (19 enodes) 86.016 * * [simplify]: iters left: 5 (78 enodes) 86.030 * * [simplify]: iters left: 4 (159 enodes) 86.107 * * [simplify]: Extracting #0: cost 1 inf + 0 86.107 * * [simplify]: Extracting #1: cost 13 inf + 0 86.108 * * [simplify]: Extracting #2: cost 134 inf + 0 86.109 * * [simplify]: Extracting #3: cost 198 inf + 297 86.112 * * [simplify]: Extracting #4: cost 172 inf + 7300 86.127 * * [simplify]: Extracting #5: cost 31 inf + 49850 86.140 * * [simplify]: Extracting #6: cost 0 inf + 60223 86.155 * [simplify]: Simplified to (- (log (sqrt k)) (* (/ (fma (+ (log n) (+ (log PI) (log 2))) (sqrt k) (+ (log n) (+ (log PI) (log 2)))) 2) (- 1 (sqrt k)))) 86.155 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (/ (fma (+ (log n) (+ (log PI) (log 2))) (sqrt k) (+ (log n) (+ (log PI) (log 2)))) 2) (- 1 (sqrt k))))))) 86.155 * * * * [progress]: [ 119 / 217 ] simplifiying candidate # 86.155 * [simplify]: Simplifying (- (log (sqrt k)) (* (* (+ (log n) (log (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 86.156 * * [simplify]: iters left: 6 (18 enodes) 86.161 * * [simplify]: iters left: 5 (76 enodes) 86.179 * * [simplify]: iters left: 4 (152 enodes) 86.251 * * [simplify]: Extracting #0: cost 1 inf + 0 86.251 * * [simplify]: Extracting #1: cost 13 inf + 0 86.251 * * [simplify]: Extracting #2: cost 120 inf + 0 86.252 * * [simplify]: Extracting #3: cost 177 inf + 3 86.252 * * [simplify]: Extracting #4: cost 174 inf + 1093 86.254 * * [simplify]: Extracting #5: cost 116 inf + 13363 86.264 * * [simplify]: Extracting #6: cost 13 inf + 41269 86.281 * * [simplify]: Extracting #7: cost 0 inf + 46042 86.289 * * [simplify]: Extracting #8: cost 0 inf + 46041 86.298 * [simplify]: Simplified to (- (log (sqrt k)) (* (fma (sqrt k) (+ (log (* 2 PI)) (log n)) (+ (log (* 2 PI)) (log n))) (- 1/2 (/ (sqrt k) 2)))) 86.298 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (fma (sqrt k) (+ (log (* 2 PI)) (log n)) (+ (log (* 2 PI)) (log n))) (- 1/2 (/ (sqrt k) 2))))))) 86.298 * * * * [progress]: [ 120 / 217 ] simplifiying candidate # 86.298 * [simplify]: Simplifying (- (log (sqrt k)) (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 86.299 * * [simplify]: iters left: 6 (17 enodes) 86.303 * * [simplify]: iters left: 5 (75 enodes) 86.323 * * [simplify]: iters left: 4 (159 enodes) 86.391 * * [simplify]: Extracting #0: cost 1 inf + 0 86.392 * * [simplify]: Extracting #1: cost 13 inf + 0 86.392 * * [simplify]: Extracting #2: cost 109 inf + 0 86.392 * * [simplify]: Extracting #3: cost 160 inf + 74 86.393 * * [simplify]: Extracting #4: cost 157 inf + 1352 86.395 * * [simplify]: Extracting #5: cost 82 inf + 15401 86.403 * * [simplify]: Extracting #6: cost 2 inf + 36561 86.416 * * [simplify]: Extracting #7: cost 0 inf + 37310 86.432 * [simplify]: Simplified to (- (log (sqrt k)) (* (fma (log (* n (* 2 PI))) (sqrt k) (log (* n (* 2 PI)))) (- 1/2 (/ (sqrt k) 2)))) 86.432 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (fma (log (* n (* 2 PI))) (sqrt k) (log (* n (* 2 PI)))) (- 1/2 (/ (sqrt k) 2))))))) 86.432 * * * * [progress]: [ 121 / 217 ] simplifiying candidate # 86.433 * [simplify]: Simplifying (- (log (sqrt k)) (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 86.433 * * [simplify]: iters left: 6 (17 enodes) 86.442 * * [simplify]: iters left: 5 (75 enodes) 86.468 * * [simplify]: iters left: 4 (159 enodes) 86.525 * * [simplify]: Extracting #0: cost 1 inf + 0 86.525 * * [simplify]: Extracting #1: cost 13 inf + 0 86.526 * * [simplify]: Extracting #2: cost 109 inf + 0 86.527 * * [simplify]: Extracting #3: cost 160 inf + 74 86.528 * * [simplify]: Extracting #4: cost 157 inf + 1352 86.533 * * [simplify]: Extracting #5: cost 82 inf + 15401 86.547 * * [simplify]: Extracting #6: cost 2 inf + 36561 86.560 * * [simplify]: Extracting #7: cost 0 inf + 37310 86.567 * [simplify]: Simplified to (- (log (sqrt k)) (* (fma (log (* n (* 2 PI))) (sqrt k) (log (* n (* 2 PI)))) (- 1/2 (/ (sqrt k) 2)))) 86.567 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (fma (log (* n (* 2 PI))) (sqrt k) (log (* n (* 2 PI)))) (- 1/2 (/ (sqrt k) 2))))))) 86.567 * * * * [progress]: [ 122 / 217 ] simplifiying candidate # 86.568 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 86.568 * * [simplify]: iters left: 6 (17 enodes) 86.575 * * [simplify]: iters left: 5 (72 enodes) 86.597 * * [simplify]: iters left: 4 (139 enodes) 86.627 * * [simplify]: iters left: 3 (367 enodes) 86.888 * * [simplify]: Extracting #0: cost 1 inf + 0 86.888 * * [simplify]: Extracting #1: cost 20 inf + 0 86.889 * * [simplify]: Extracting #2: cost 204 inf + 0 86.891 * * [simplify]: Extracting #3: cost 403 inf + 4 86.902 * * [simplify]: Extracting #4: cost 350 inf + 35359 86.937 * * [simplify]: Extracting #5: cost 64 inf + 111843 86.975 * * [simplify]: Extracting #6: cost 3 inf + 129702 87.011 * * [simplify]: Extracting #7: cost 0 inf + 129819 87.049 * * [simplify]: Extracting #8: cost 0 inf + 129739 87.084 * [simplify]: Simplified to (- (log (sqrt k)) (* (fma (log (* n (* 2 PI))) (sqrt k) (log (* n (* 2 PI)))) (/ (- 1 (sqrt k)) 2))) 87.084 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (fma (log (* n (* 2 PI))) (sqrt k) (log (* n (* 2 PI)))) (/ (- 1 (sqrt k)) 2)))))) 87.084 * * * * [progress]: [ 123 / 217 ] simplifiying candidate # 87.085 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 87.085 * * [simplify]: iters left: 6 (17 enodes) 87.090 * * [simplify]: iters left: 5 (72 enodes) 87.111 * * [simplify]: iters left: 4 (139 enodes) 87.167 * * [simplify]: iters left: 3 (367 enodes) 87.430 * * [simplify]: Extracting #0: cost 1 inf + 0 87.430 * * [simplify]: Extracting #1: cost 20 inf + 0 87.430 * * [simplify]: Extracting #2: cost 204 inf + 0 87.432 * * [simplify]: Extracting #3: cost 403 inf + 4 87.442 * * [simplify]: Extracting #4: cost 350 inf + 35359 87.468 * * [simplify]: Extracting #5: cost 64 inf + 111843 87.520 * * [simplify]: Extracting #6: cost 3 inf + 129702 87.562 * * [simplify]: Extracting #7: cost 0 inf + 129819 87.600 * * [simplify]: Extracting #8: cost 0 inf + 129739 87.638 * [simplify]: Simplified to (- (log (sqrt k)) (* (fma (log (* n (* 2 PI))) (sqrt k) (log (* n (* 2 PI)))) (/ (- 1 (sqrt k)) 2))) 87.638 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (fma (log (* n (* 2 PI))) (sqrt k) (log (* n (* 2 PI)))) (/ (- 1 (sqrt k)) 2)))))) 87.638 * * * * [progress]: [ 124 / 217 ] simplifiying candidate # 87.638 * [simplify]: Simplifying (- (log (sqrt k)) (log (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 87.639 * * [simplify]: iters left: 6 (17 enodes) 87.644 * * [simplify]: iters left: 5 (72 enodes) 87.658 * * [simplify]: iters left: 4 (128 enodes) 87.707 * * [simplify]: iters left: 3 (272 enodes) 87.834 * * [simplify]: Extracting #0: cost 1 inf + 0 87.834 * * [simplify]: Extracting #1: cost 18 inf + 0 87.835 * * [simplify]: Extracting #2: cost 187 inf + 0 87.836 * * [simplify]: Extracting #3: cost 308 inf + 75 87.838 * * [simplify]: Extracting #4: cost 301 inf + 12656 87.846 * * [simplify]: Extracting #5: cost 116 inf + 63654 87.877 * * [simplify]: Extracting #6: cost 7 inf + 104327 87.911 * * [simplify]: Extracting #7: cost 0 inf + 107239 87.951 * [simplify]: Simplified to (- (log (sqrt k)) (* (* (+ (sqrt k) 1) (log (* n (* 2 PI)))) (/ (- 1 (sqrt k)) 2))) 87.952 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (* (+ (sqrt k) 1) (log (* n (* 2 PI)))) (/ (- 1 (sqrt k)) 2)))))) 87.952 * * * * [progress]: [ 125 / 217 ] simplifiying candidate # 87.952 * * * * [progress]: [ 126 / 217 ] simplifiying candidate # 87.952 * * * * [progress]: [ 127 / 217 ] simplifiying candidate # 87.952 * [simplify]: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 87.953 * * [simplify]: iters left: 6 (19 enodes) 87.960 * * [simplify]: iters left: 5 (83 enodes) 87.975 * * [simplify]: iters left: 4 (183 enodes) 88.038 * * [simplify]: iters left: 3 (468 enodes) 88.256 * * [simplify]: Extracting #0: cost 1 inf + 0 88.256 * * [simplify]: Extracting #1: cost 114 inf + 0 88.258 * * [simplify]: Extracting #2: cost 308 inf + 123 88.259 * * [simplify]: Extracting #3: cost 379 inf + 248 88.266 * * [simplify]: Extracting #4: cost 387 inf + 2546 88.282 * * [simplify]: Extracting #5: cost 280 inf + 79372 88.343 * * [simplify]: Extracting #6: cost 53 inf + 288899 88.417 * * [simplify]: Extracting #7: cost 1 inf + 334803 88.487 * * [simplify]: Extracting #8: cost 0 inf + 334278 88.551 * * [simplify]: Extracting #9: cost 0 inf + 334108 88.617 * [simplify]: Simplified to (/ (sqrt k) (/ (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ (/ k (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 88.617 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (sqrt k) (/ (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ (/ k (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))))))) 88.617 * * * * [progress]: [ 128 / 217 ] simplifiying candidate # 88.617 * * * * [progress]: [ 129 / 217 ] simplifiying candidate # 88.617 * * * * [progress]: [ 130 / 217 ] simplifiying candidate # 88.617 * * * * [progress]: [ 131 / 217 ] simplifiying candidate # 88.617 * * * * [progress]: [ 132 / 217 ] simplifiying candidate # 88.618 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 88.618 * * [simplify]: iters left: 6 (14 enodes) 88.627 * * [simplify]: iters left: 5 (57 enodes) 88.647 * * [simplify]: iters left: 4 (96 enodes) 88.679 * * [simplify]: iters left: 3 (180 enodes) 88.753 * * [simplify]: iters left: 2 (393 enodes) 88.909 * * [simplify]: Extracting #0: cost 1 inf + 0 88.910 * * [simplify]: Extracting #1: cost 43 inf + 0 88.910 * * [simplify]: Extracting #2: cost 139 inf + 0 88.912 * * [simplify]: Extracting #3: cost 210 inf + 2 88.914 * * [simplify]: Extracting #4: cost 216 inf + 5734 88.922 * * [simplify]: Extracting #5: cost 153 inf + 38648 88.937 * * [simplify]: Extracting #6: cost 29 inf + 141430 88.970 * * [simplify]: Extracting #7: cost 0 inf + 162443 88.991 * * [simplify]: Extracting #8: cost 0 inf + 158740 89.032 * * [simplify]: Extracting #9: cost 0 inf + 157942 89.074 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (pow n (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 89.074 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (pow n (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) (/ (cbrt (sqrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 89.074 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 89.074 * * [simplify]: iters left: 6 (14 enodes) 89.079 * * [simplify]: iters left: 5 (56 enodes) 89.090 * * [simplify]: iters left: 4 (92 enodes) 89.110 * * [simplify]: iters left: 3 (151 enodes) 89.165 * * [simplify]: iters left: 2 (284 enodes) 89.256 * * [simplify]: Extracting #0: cost 1 inf + 0 89.257 * * [simplify]: Extracting #1: cost 6 inf + 0 89.257 * * [simplify]: Extracting #2: cost 27 inf + 0 89.257 * * [simplify]: Extracting #3: cost 92 inf + 1 89.258 * * [simplify]: Extracting #4: cost 143 inf + 293 89.260 * * [simplify]: Extracting #5: cost 113 inf + 6266 89.267 * * [simplify]: Extracting #6: cost 59 inf + 26660 89.282 * * [simplify]: Extracting #7: cost 8 inf + 66868 89.300 * * [simplify]: Extracting #8: cost 0 inf + 72148 89.319 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 89.319 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (/ (cbrt (sqrt k)) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 89.319 * * * * [progress]: [ 133 / 217 ] simplifiying candidate # 89.319 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) 89.320 * * [simplify]: iters left: 6 (19 enodes) 89.329 * * [simplify]: iters left: 5 (76 enodes) 89.359 * * [simplify]: iters left: 4 (123 enodes) 89.387 * * [simplify]: iters left: 3 (212 enodes) 89.428 * * [simplify]: iters left: 2 (422 enodes) 89.547 * * [simplify]: Extracting #0: cost 1 inf + 0 89.547 * * [simplify]: Extracting #1: cost 42 inf + 0 89.548 * * [simplify]: Extracting #2: cost 137 inf + 0 89.549 * * [simplify]: Extracting #3: cost 195 inf + 2 89.551 * * [simplify]: Extracting #4: cost 184 inf + 1724 89.554 * * [simplify]: Extracting #5: cost 163 inf + 6672 89.559 * * [simplify]: Extracting #6: cost 198 inf + 7693 89.566 * * [simplify]: Extracting #7: cost 185 inf + 20312 89.590 * * [simplify]: Extracting #8: cost 91 inf + 99662 89.638 * * [simplify]: Extracting #9: cost 7 inf + 187795 89.687 * * [simplify]: Extracting #10: cost 0 inf + 193357 89.719 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt (pow (* (* 2 PI) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* 2 PI) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2))) 89.719 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt (pow (* (* 2 PI) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* 2 PI) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2))) (/ (cbrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 89.720 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 89.720 * * [simplify]: iters left: 6 (17 enodes) 89.725 * * [simplify]: iters left: 5 (68 enodes) 89.736 * * [simplify]: iters left: 4 (108 enodes) 89.756 * * [simplify]: iters left: 3 (177 enodes) 89.807 * * [simplify]: iters left: 2 (331 enodes) 89.925 * * [simplify]: Extracting #0: cost 1 inf + 0 89.926 * * [simplify]: Extracting #1: cost 6 inf + 0 89.926 * * [simplify]: Extracting #2: cost 27 inf + 0 89.926 * * [simplify]: Extracting #3: cost 88 inf + 1 89.926 * * [simplify]: Extracting #4: cost 119 inf + 49 89.927 * * [simplify]: Extracting #5: cost 127 inf + 4020 89.929 * * [simplify]: Extracting #6: cost 105 inf + 9206 89.933 * * [simplify]: Extracting #7: cost 67 inf + 22786 89.943 * * [simplify]: Extracting #8: cost 20 inf + 61386 89.958 * * [simplify]: Extracting #9: cost 1 inf + 79772 89.968 * * [simplify]: Extracting #10: cost 0 inf + 80598 89.979 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 89.979 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) (/ (cbrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2)))))) 89.979 * * * * [progress]: [ 134 / 217 ] simplifiying candidate # 89.979 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 89.980 * * [simplify]: iters left: 6 (18 enodes) 89.985 * * [simplify]: iters left: 5 (73 enodes) 90.013 * * [simplify]: iters left: 4 (125 enodes) 90.055 * * [simplify]: iters left: 3 (209 enodes) 90.132 * * [simplify]: iters left: 2 (401 enodes) 90.278 * * [simplify]: Extracting #0: cost 1 inf + 0 90.278 * * [simplify]: Extracting #1: cost 44 inf + 0 90.279 * * [simplify]: Extracting #2: cost 141 inf + 0 90.279 * * [simplify]: Extracting #3: cost 198 inf + 2 90.280 * * [simplify]: Extracting #4: cost 204 inf + 1515 90.282 * * [simplify]: Extracting #5: cost 213 inf + 5848 90.285 * * [simplify]: Extracting #6: cost 193 inf + 13136 90.296 * * [simplify]: Extracting #7: cost 84 inf + 101855 90.335 * * [simplify]: Extracting #8: cost 6 inf + 180479 90.366 * * [simplify]: Extracting #9: cost 0 inf + 186490 90.420 * * [simplify]: Extracting #10: cost 0 inf + 186360 90.448 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (/ (pow (sqrt (pow (* (* 2 PI) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k)))) 90.448 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (cbrt (sqrt k)) (/ (pow (sqrt (pow (* (* 2 PI) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 90.448 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 90.448 * * [simplify]: iters left: 6 (17 enodes) 90.453 * * [simplify]: iters left: 5 (68 enodes) 90.470 * * [simplify]: iters left: 4 (109 enodes) 90.509 * * [simplify]: iters left: 3 (178 enodes) 90.572 * * [simplify]: iters left: 2 (332 enodes) 90.688 * * [simplify]: Extracting #0: cost 1 inf + 0 90.688 * * [simplify]: Extracting #1: cost 6 inf + 0 90.688 * * [simplify]: Extracting #2: cost 27 inf + 0 90.688 * * [simplify]: Extracting #3: cost 89 inf + 1 90.689 * * [simplify]: Extracting #4: cost 125 inf + 49 90.690 * * [simplify]: Extracting #5: cost 141 inf + 3162 90.692 * * [simplify]: Extracting #6: cost 104 inf + 9860 90.696 * * [simplify]: Extracting #7: cost 64 inf + 24542 90.711 * * [simplify]: Extracting #8: cost 12 inf + 66584 90.730 * * [simplify]: Extracting #9: cost 1 inf + 77255 90.748 * * [simplify]: Extracting #10: cost 0 inf + 78241 90.758 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 90.758 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (/ (cbrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2)))))) 90.758 * * * * [progress]: [ 135 / 217 ] simplifiying candidate # 90.762 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (/ (- 1 (sqrt k)) 2))) 90.762 * * [simplify]: iters left: 6 (10 enodes) 90.765 * * [simplify]: iters left: 5 (38 enodes) 90.772 * * [simplify]: iters left: 4 (51 enodes) 90.781 * * [simplify]: iters left: 3 (55 enodes) 90.796 * * [simplify]: iters left: 2 (56 enodes) 90.808 * * [simplify]: Extracting #0: cost 1 inf + 0 90.808 * * [simplify]: Extracting #1: cost 5 inf + 0 90.808 * * [simplify]: Extracting #2: cost 7 inf + 1 90.808 * * [simplify]: Extracting #3: cost 9 inf + 1 90.808 * * [simplify]: Extracting #4: cost 8 inf + 2 90.808 * * [simplify]: Extracting #5: cost 2 inf + 649 90.809 * * [simplify]: Extracting #6: cost 0 inf + 972 90.809 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 90.809 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 90.809 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 90.809 * * [simplify]: iters left: 6 (16 enodes) 90.814 * * [simplify]: iters left: 5 (65 enodes) 90.824 * * [simplify]: iters left: 4 (109 enodes) 90.850 * * [simplify]: iters left: 3 (177 enodes) 90.901 * * [simplify]: iters left: 2 (315 enodes) 90.987 * * [simplify]: Extracting #0: cost 1 inf + 0 90.987 * * [simplify]: Extracting #1: cost 6 inf + 0 90.987 * * [simplify]: Extracting #2: cost 29 inf + 0 90.988 * * [simplify]: Extracting #3: cost 95 inf + 1 90.989 * * [simplify]: Extracting #4: cost 148 inf + 662 90.992 * * [simplify]: Extracting #5: cost 118 inf + 7381 90.999 * * [simplify]: Extracting #6: cost 65 inf + 23947 91.013 * * [simplify]: Extracting #7: cost 21 inf + 54918 91.031 * * [simplify]: Extracting #8: cost 2 inf + 72975 91.050 * * [simplify]: Extracting #9: cost 0 inf + 75129 91.065 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 91.065 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 91.065 * * * * [progress]: [ 136 / 217 ] simplifiying candidate # 91.065 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 91.065 * * [simplify]: iters left: 6 (18 enodes) 91.071 * * [simplify]: iters left: 5 (75 enodes) 91.084 * * [simplify]: iters left: 4 (127 enodes) 91.125 * * [simplify]: iters left: 3 (217 enodes) 91.188 * * [simplify]: iters left: 2 (421 enodes) 91.322 * * [simplify]: Extracting #0: cost 1 inf + 0 91.322 * * [simplify]: Extracting #1: cost 45 inf + 0 91.323 * * [simplify]: Extracting #2: cost 144 inf + 0 91.324 * * [simplify]: Extracting #3: cost 207 inf + 2 91.326 * * [simplify]: Extracting #4: cost 238 inf + 1149 91.330 * * [simplify]: Extracting #5: cost 226 inf + 5829 91.337 * * [simplify]: Extracting #6: cost 181 inf + 16916 91.356 * * [simplify]: Extracting #7: cost 89 inf + 88503 91.389 * * [simplify]: Extracting #8: cost 8 inf + 178599 91.427 * * [simplify]: Extracting #9: cost 0 inf + 186959 91.462 * * [simplify]: Extracting #10: cost 0 inf + 186333 91.489 * * [simplify]: Extracting #11: cost 0 inf + 186293 91.516 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (/ (pow (pow (* (* 2 PI) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k)))) 91.516 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (cbrt (sqrt k)) (/ (pow (pow (* (* 2 PI) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 91.517 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 91.517 * * [simplify]: iters left: 6 (17 enodes) 91.522 * * [simplify]: iters left: 5 (70 enodes) 91.543 * * [simplify]: iters left: 4 (111 enodes) 91.578 * * [simplify]: iters left: 3 (184 enodes) 91.641 * * [simplify]: iters left: 2 (344 enodes) 91.721 * * [simplify]: Extracting #0: cost 1 inf + 0 91.722 * * [simplify]: Extracting #1: cost 6 inf + 0 91.722 * * [simplify]: Extracting #2: cost 27 inf + 0 91.722 * * [simplify]: Extracting #3: cost 97 inf + 1 91.723 * * [simplify]: Extracting #4: cost 151 inf + 375 91.726 * * [simplify]: Extracting #5: cost 135 inf + 5339 91.733 * * [simplify]: Extracting #6: cost 78 inf + 19203 91.750 * * [simplify]: Extracting #7: cost 11 inf + 70551 91.776 * * [simplify]: Extracting #8: cost 0 inf + 80542 91.797 * * [simplify]: Extracting #9: cost 0 inf + 79291 91.819 * * [simplify]: Extracting #10: cost 0 inf + 79029 91.840 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (* 1/2 (+ (sqrt k) 1))) (* 1/2 (- 1 (sqrt k))))) 91.840 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (* 1/2 (+ (sqrt k) 1))) (* 1/2 (- 1 (sqrt k)))))))) 91.841 * * * * [progress]: [ 137 / 217 ] simplifiying candidate # 91.841 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 91.841 * * [simplify]: iters left: 6 (19 enodes) 91.851 * * [simplify]: iters left: 5 (80 enodes) 91.878 * * [simplify]: iters left: 4 (137 enodes) 91.922 * * [simplify]: iters left: 3 (204 enodes) 91.966 * * [simplify]: iters left: 2 (334 enodes) 92.058 * * [simplify]: Extracting #0: cost 1 inf + 0 92.058 * * [simplify]: Extracting #1: cost 11 inf + 0 92.058 * * [simplify]: Extracting #2: cost 22 inf + 0 92.058 * * [simplify]: Extracting #3: cost 37 inf + 0 92.059 * * [simplify]: Extracting #4: cost 85 inf + 43 92.059 * * [simplify]: Extracting #5: cost 147 inf + 652 92.062 * * [simplify]: Extracting #6: cost 133 inf + 4540 92.068 * * [simplify]: Extracting #7: cost 70 inf + 21271 92.081 * * [simplify]: Extracting #8: cost 24 inf + 51587 92.100 * * [simplify]: Extracting #9: cost 0 inf + 74243 92.120 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 92.120 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 92.121 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 92.121 * * [simplify]: iters left: 6 (17 enodes) 92.130 * * [simplify]: iters left: 5 (68 enodes) 92.153 * * [simplify]: iters left: 4 (106 enodes) 92.176 * * [simplify]: iters left: 3 (171 enodes) 92.225 * * [simplify]: iters left: 2 (316 enodes) 92.321 * * [simplify]: Extracting #0: cost 1 inf + 0 92.321 * * [simplify]: Extracting #1: cost 4 inf + 0 92.321 * * [simplify]: Extracting #2: cost 8 inf + 0 92.321 * * [simplify]: Extracting #3: cost 23 inf + 0 92.321 * * [simplify]: Extracting #4: cost 73 inf + 2 92.322 * * [simplify]: Extracting #5: cost 143 inf + 48 92.324 * * [simplify]: Extracting #6: cost 125 inf + 4828 92.333 * * [simplify]: Extracting #7: cost 44 inf + 33520 92.347 * * [simplify]: Extracting #8: cost 15 inf + 53947 92.364 * * [simplify]: Extracting #9: cost 0 inf + 65513 92.382 * * [simplify]: Extracting #10: cost 0 inf + 65473 92.403 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 92.403 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))))) 92.403 * * * * [progress]: [ 138 / 217 ] simplifiying candidate # 92.404 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 92.404 * * [simplify]: iters left: 6 (18 enodes) 92.414 * * [simplify]: iters left: 5 (73 enodes) 92.431 * * [simplify]: iters left: 4 (120 enodes) 92.450 * * [simplify]: iters left: 3 (183 enodes) 92.493 * * [simplify]: iters left: 2 (310 enodes) 92.592 * * [simplify]: Extracting #0: cost 1 inf + 0 92.592 * * [simplify]: Extracting #1: cost 7 inf + 0 92.592 * * [simplify]: Extracting #2: cost 15 inf + 0 92.592 * * [simplify]: Extracting #3: cost 33 inf + 0 92.593 * * [simplify]: Extracting #4: cost 88 inf + 43 92.594 * * [simplify]: Extracting #5: cost 132 inf + 2005 92.597 * * [simplify]: Extracting #6: cost 108 inf + 7852 92.605 * * [simplify]: Extracting #7: cost 63 inf + 22513 92.624 * * [simplify]: Extracting #8: cost 6 inf + 66013 92.639 * * [simplify]: Extracting #9: cost 0 inf + 70826 92.648 * * [simplify]: Extracting #10: cost 0 inf + 70695 92.657 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (/ (sqrt (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k)))) 92.657 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (cbrt (sqrt k)) (/ (sqrt (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 92.658 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 92.658 * * [simplify]: iters left: 6 (17 enodes) 92.667 * * [simplify]: iters left: 5 (68 enodes) 92.681 * * [simplify]: iters left: 4 (107 enodes) 92.700 * * [simplify]: iters left: 3 (172 enodes) 92.762 * * [simplify]: iters left: 2 (317 enodes) 92.857 * * [simplify]: Extracting #0: cost 1 inf + 0 92.857 * * [simplify]: Extracting #1: cost 4 inf + 0 92.857 * * [simplify]: Extracting #2: cost 9 inf + 0 92.857 * * [simplify]: Extracting #3: cost 28 inf + 0 92.858 * * [simplify]: Extracting #4: cost 86 inf + 43 92.858 * * [simplify]: Extracting #5: cost 138 inf + 414 92.861 * * [simplify]: Extracting #6: cost 116 inf + 5983 92.869 * * [simplify]: Extracting #7: cost 43 inf + 32631 92.884 * * [simplify]: Extracting #8: cost 4 inf + 61348 92.901 * * [simplify]: Extracting #9: cost 0 inf + 63708 92.918 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 92.919 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))))) 92.919 * * * * [progress]: [ 139 / 217 ] simplifiying candidate # 92.919 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 92.919 * * [simplify]: iters left: 6 (6 enodes) 92.923 * * [simplify]: iters left: 5 (20 enodes) 92.930 * * [simplify]: iters left: 4 (30 enodes) 92.938 * * [simplify]: iters left: 3 (31 enodes) 92.946 * * [simplify]: Extracting #0: cost 1 inf + 0 92.946 * * [simplify]: Extracting #1: cost 5 inf + 0 92.947 * * [simplify]: Extracting #2: cost 7 inf + 1 92.947 * * [simplify]: Extracting #3: cost 9 inf + 1 92.947 * * [simplify]: Extracting #4: cost 8 inf + 2 92.947 * * [simplify]: Extracting #5: cost 0 inf + 972 92.947 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 92.947 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 92.947 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 92.947 * * [simplify]: iters left: 6 (16 enodes) 92.952 * * [simplify]: iters left: 5 (65 enodes) 92.963 * * [simplify]: iters left: 4 (109 enodes) 92.995 * * [simplify]: iters left: 3 (177 enodes) 93.031 * * [simplify]: iters left: 2 (315 enodes) 93.121 * * [simplify]: Extracting #0: cost 1 inf + 0 93.121 * * [simplify]: Extracting #1: cost 6 inf + 0 93.122 * * [simplify]: Extracting #2: cost 29 inf + 0 93.122 * * [simplify]: Extracting #3: cost 95 inf + 1 93.122 * * [simplify]: Extracting #4: cost 148 inf + 662 93.124 * * [simplify]: Extracting #5: cost 118 inf + 7381 93.128 * * [simplify]: Extracting #6: cost 65 inf + 23947 93.135 * * [simplify]: Extracting #7: cost 21 inf + 54918 93.144 * * [simplify]: Extracting #8: cost 2 inf + 72975 93.153 * * [simplify]: Extracting #9: cost 0 inf + 75129 93.168 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 93.168 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 93.169 * * * * [progress]: [ 140 / 217 ] simplifiying candidate # 93.169 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 93.169 * * [simplify]: iters left: 6 (18 enodes) 93.179 * * [simplify]: iters left: 5 (76 enodes) 93.203 * * [simplify]: iters left: 4 (130 enodes) 93.245 * * [simplify]: iters left: 3 (230 enodes) 93.306 * * [simplify]: iters left: 2 (465 enodes) 93.432 * * [simplify]: Extracting #0: cost 1 inf + 0 93.432 * * [simplify]: Extracting #1: cost 44 inf + 0 93.433 * * [simplify]: Extracting #2: cost 141 inf + 0 93.433 * * [simplify]: Extracting #3: cost 214 inf + 2 93.434 * * [simplify]: Extracting #4: cost 246 inf + 1643 93.437 * * [simplify]: Extracting #5: cost 202 inf + 14273 93.457 * * [simplify]: Extracting #6: cost 74 inf + 109058 93.508 * * [simplify]: Extracting #7: cost 1 inf + 182411 93.533 * * [simplify]: Extracting #8: cost 0 inf + 181242 93.578 * * [simplify]: Extracting #9: cost 0 inf + 180980 93.606 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (/ (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (* 1/4 (- 1 (sqrt k)))) (cbrt (sqrt k)))) 93.606 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (cbrt (sqrt k)) (/ (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (* 1/4 (- 1 (sqrt k)))) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)))))) 93.606 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 93.606 * * [simplify]: iters left: 6 (17 enodes) 93.613 * * [simplify]: iters left: 5 (71 enodes) 93.625 * * [simplify]: iters left: 4 (115 enodes) 93.644 * * [simplify]: iters left: 3 (191 enodes) 93.710 * * [simplify]: iters left: 2 (360 enodes) 93.820 * * [simplify]: Extracting #0: cost 1 inf + 0 93.820 * * [simplify]: Extracting #1: cost 6 inf + 0 93.820 * * [simplify]: Extracting #2: cost 28 inf + 0 93.821 * * [simplify]: Extracting #3: cost 103 inf + 1 93.822 * * [simplify]: Extracting #4: cost 166 inf + 213 93.825 * * [simplify]: Extracting #5: cost 140 inf + 6368 93.832 * * [simplify]: Extracting #6: cost 76 inf + 20941 93.846 * * [simplify]: Extracting #7: cost 23 inf + 55062 93.866 * * [simplify]: Extracting #8: cost 0 inf + 74916 93.886 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4))) 93.886 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) (/ (cbrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4)))))) 93.887 * * * * [progress]: [ 141 / 217 ] simplifiying candidate # 93.887 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 93.888 * * [simplify]: iters left: 6 (15 enodes) 93.896 * * [simplify]: iters left: 5 (59 enodes) 93.908 * * [simplify]: iters left: 4 (91 enodes) 93.924 * * [simplify]: iters left: 3 (155 enodes) 93.962 * * [simplify]: iters left: 2 (306 enodes) 94.077 * * [simplify]: Extracting #0: cost 1 inf + 0 94.077 * * [simplify]: Extracting #1: cost 6 inf + 0 94.078 * * [simplify]: Extracting #2: cost 29 inf + 0 94.078 * * [simplify]: Extracting #3: cost 98 inf + 1 94.079 * * [simplify]: Extracting #4: cost 148 inf + 413 94.080 * * [simplify]: Extracting #5: cost 159 inf + 1361 94.084 * * [simplify]: Extracting #6: cost 90 inf + 16122 94.094 * * [simplify]: Extracting #7: cost 44 inf + 37918 94.109 * * [simplify]: Extracting #8: cost 4 inf + 68101 94.126 * * [simplify]: Extracting #9: cost 0 inf + 70336 94.143 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 94.143 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (cbrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 94.143 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 94.144 * * [simplify]: iters left: 6 (15 enodes) 94.152 * * [simplify]: iters left: 5 (59 enodes) 94.171 * * [simplify]: iters left: 4 (91 enodes) 94.200 * * [simplify]: iters left: 3 (155 enodes) 94.233 * * [simplify]: iters left: 2 (306 enodes) 94.328 * * [simplify]: Extracting #0: cost 1 inf + 0 94.328 * * [simplify]: Extracting #1: cost 6 inf + 0 94.328 * * [simplify]: Extracting #2: cost 28 inf + 0 94.329 * * [simplify]: Extracting #3: cost 97 inf + 1 94.329 * * [simplify]: Extracting #4: cost 151 inf + 210 94.330 * * [simplify]: Extracting #5: cost 164 inf + 581 94.332 * * [simplify]: Extracting #6: cost 82 inf + 24040 94.339 * * [simplify]: Extracting #7: cost 20 inf + 56496 94.353 * * [simplify]: Extracting #8: cost 0 inf + 71838 94.373 * * [simplify]: Extracting #9: cost 0 inf + 71639 94.393 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 94.393 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (cbrt k)) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 94.393 * * * * [progress]: [ 142 / 217 ] simplifiying candidate # 94.393 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) 94.393 * * [simplify]: iters left: 6 (20 enodes) 94.399 * * [simplify]: iters left: 5 (78 enodes) 94.412 * * [simplify]: iters left: 4 (122 enodes) 94.449 * * [simplify]: iters left: 3 (186 enodes) 94.512 * * [simplify]: iters left: 2 (319 enodes) 94.617 * * [simplify]: Extracting #0: cost 1 inf + 0 94.617 * * [simplify]: Extracting #1: cost 6 inf + 0 94.617 * * [simplify]: Extracting #2: cost 28 inf + 0 94.617 * * [simplify]: Extracting #3: cost 84 inf + 1 94.618 * * [simplify]: Extracting #4: cost 107 inf + 89 94.618 * * [simplify]: Extracting #5: cost 91 inf + 3314 94.620 * * [simplify]: Extracting #6: cost 104 inf + 6876 94.624 * * [simplify]: Extracting #7: cost 109 inf + 8947 94.630 * * [simplify]: Extracting #8: cost 74 inf + 19906 94.643 * * [simplify]: Extracting #9: cost 27 inf + 55175 94.655 * * [simplify]: Extracting #10: cost 0 inf + 84011 94.670 * * [simplify]: Extracting #11: cost 0 inf + 83258 94.691 * * [simplify]: Extracting #12: cost 0 inf + 83217 94.714 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow (* (cbrt (pow (* (* n 2) PI) (+ (sqrt k) 1))) (cbrt (pow (* (* n 2) PI) (+ (sqrt k) 1)))) (- 1/2 (/ (sqrt k) 2)))) 94.715 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow (* (cbrt (pow (* (* n 2) PI) (+ (sqrt k) 1))) (cbrt (pow (* (* n 2) PI) (+ (sqrt k) 1)))) (- 1/2 (/ (sqrt k) 2)))) (/ (sqrt (cbrt k)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 94.715 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 94.715 * * [simplify]: iters left: 6 (18 enodes) 94.725 * * [simplify]: iters left: 5 (71 enodes) 94.749 * * [simplify]: iters left: 4 (115 enodes) 94.786 * * [simplify]: iters left: 3 (179 enodes) 94.849 * * [simplify]: iters left: 2 (312 enodes) 94.971 * * [simplify]: Extracting #0: cost 1 inf + 0 94.971 * * [simplify]: Extracting #1: cost 6 inf + 0 94.971 * * [simplify]: Extracting #2: cost 27 inf + 0 94.971 * * [simplify]: Extracting #3: cost 82 inf + 1 94.972 * * [simplify]: Extracting #4: cost 115 inf + 89 94.973 * * [simplify]: Extracting #5: cost 151 inf + 335 94.975 * * [simplify]: Extracting #6: cost 136 inf + 4743 94.981 * * [simplify]: Extracting #7: cost 68 inf + 25850 94.989 * * [simplify]: Extracting #8: cost 17 inf + 62439 94.998 * * [simplify]: Extracting #9: cost 2 inf + 78218 95.008 * * [simplify]: Extracting #10: cost 0 inf + 79857 95.018 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 95.018 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (cbrt k)) (pow (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 95.018 * * * * [progress]: [ 143 / 217 ] simplifiying candidate # 95.018 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 95.018 * * [simplify]: iters left: 6 (19 enodes) 95.023 * * [simplify]: iters left: 5 (75 enodes) 95.036 * * [simplify]: iters left: 4 (120 enodes) 95.066 * * [simplify]: iters left: 3 (188 enodes) 95.112 * * [simplify]: iters left: 2 (322 enodes) 95.201 * * [simplify]: Extracting #0: cost 1 inf + 0 95.201 * * [simplify]: Extracting #1: cost 6 inf + 0 95.201 * * [simplify]: Extracting #2: cost 28 inf + 0 95.202 * * [simplify]: Extracting #3: cost 86 inf + 1 95.202 * * [simplify]: Extracting #4: cost 121 inf + 89 95.203 * * [simplify]: Extracting #5: cost 138 inf + 2748 95.205 * * [simplify]: Extracting #6: cost 104 inf + 8938 95.208 * * [simplify]: Extracting #7: cost 65 inf + 21175 95.215 * * [simplify]: Extracting #8: cost 27 inf + 49777 95.224 * * [simplify]: Extracting #9: cost 3 inf + 75198 95.235 * * [simplify]: Extracting #10: cost 0 inf + 77969 95.248 * * [simplify]: Extracting #11: cost 0 inf + 77758 95.264 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow (sqrt (pow (* (* 2 PI) n) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 95.264 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow (sqrt (pow (* (* 2 PI) n) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (cbrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 95.265 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 95.265 * * [simplify]: iters left: 6 (18 enodes) 95.274 * * [simplify]: iters left: 5 (71 enodes) 95.285 * * [simplify]: iters left: 4 (116 enodes) 95.304 * * [simplify]: iters left: 3 (180 enodes) 95.345 * * [simplify]: iters left: 2 (313 enodes) 95.429 * * [simplify]: Extracting #0: cost 1 inf + 0 95.429 * * [simplify]: Extracting #1: cost 6 inf + 0 95.429 * * [simplify]: Extracting #2: cost 28 inf + 0 95.429 * * [simplify]: Extracting #3: cost 84 inf + 1 95.430 * * [simplify]: Extracting #4: cost 120 inf + 89 95.431 * * [simplify]: Extracting #5: cost 159 inf + 335 95.434 * * [simplify]: Extracting #6: cost 129 inf + 5968 95.445 * * [simplify]: Extracting #7: cost 56 inf + 32182 95.452 * * [simplify]: Extracting #8: cost 25 inf + 54260 95.462 * * [simplify]: Extracting #9: cost 2 inf + 77846 95.472 * * [simplify]: Extracting #10: cost 0 inf + 79405 95.488 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 95.488 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (cbrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 95.488 * * * * [progress]: [ 144 / 217 ] simplifiying candidate # 95.488 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (/ (- 1 (sqrt k)) 2))) 95.489 * * [simplify]: iters left: 6 (11 enodes) 95.495 * * [simplify]: iters left: 5 (40 enodes) 95.507 * * [simplify]: iters left: 4 (49 enodes) 95.522 * * [simplify]: iters left: 3 (51 enodes) 95.535 * * [simplify]: Extracting #0: cost 1 inf + 0 95.535 * * [simplify]: Extracting #1: cost 5 inf + 0 95.536 * * [simplify]: Extracting #2: cost 7 inf + 1 95.536 * * [simplify]: Extracting #3: cost 6 inf + 2 95.536 * * [simplify]: Extracting #4: cost 1 inf + 527 95.536 * * [simplify]: Extracting #5: cost 0 inf + 648 95.536 * [simplify]: Simplified to (fabs (cbrt k)) 95.536 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 95.537 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 95.537 * * [simplify]: iters left: 6 (17 enodes) 95.546 * * [simplify]: iters left: 5 (68 enodes) 95.571 * * [simplify]: iters left: 4 (108 enodes) 95.598 * * [simplify]: iters left: 3 (177 enodes) 95.640 * * [simplify]: iters left: 2 (331 enodes) 95.743 * * [simplify]: Extracting #0: cost 1 inf + 0 95.743 * * [simplify]: Extracting #1: cost 6 inf + 0 95.743 * * [simplify]: Extracting #2: cost 28 inf + 0 95.743 * * [simplify]: Extracting #3: cost 98 inf + 1 95.744 * * [simplify]: Extracting #4: cost 157 inf + 210 95.745 * * [simplify]: Extracting #5: cost 172 inf + 583 95.746 * * [simplify]: Extracting #6: cost 129 inf + 7224 95.749 * * [simplify]: Extracting #7: cost 72 inf + 22852 95.758 * * [simplify]: Extracting #8: cost 10 inf + 69815 95.768 * * [simplify]: Extracting #9: cost 1 inf + 76067 95.792 * * [simplify]: Extracting #10: cost 0 inf + 76640 95.802 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 95.802 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 95.803 * * * * [progress]: [ 145 / 217 ] simplifiying candidate # 95.803 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 95.803 * * [simplify]: iters left: 6 (19 enodes) 95.809 * * [simplify]: iters left: 5 (77 enodes) 95.822 * * [simplify]: iters left: 4 (122 enodes) 95.860 * * [simplify]: iters left: 3 (192 enodes) 95.930 * * [simplify]: iters left: 2 (338 enodes) 96.061 * * [simplify]: Extracting #0: cost 1 inf + 0 96.061 * * [simplify]: Extracting #1: cost 6 inf + 0 96.061 * * [simplify]: Extracting #2: cost 29 inf + 0 96.061 * * [simplify]: Extracting #3: cost 97 inf + 1 96.062 * * [simplify]: Extracting #4: cost 152 inf + 533 96.064 * * [simplify]: Extracting #5: cost 146 inf + 3829 96.069 * * [simplify]: Extracting #6: cost 96 inf + 13256 96.081 * * [simplify]: Extracting #7: cost 39 inf + 44896 96.101 * * [simplify]: Extracting #8: cost 0 inf + 82454 96.123 * * [simplify]: Extracting #9: cost 0 inf + 82241 96.144 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2))) 96.145 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 96.145 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 96.145 * * [simplify]: iters left: 6 (18 enodes) 96.156 * * [simplify]: iters left: 5 (73 enodes) 96.179 * * [simplify]: iters left: 4 (118 enodes) 96.221 * * [simplify]: iters left: 3 (188 enodes) 96.282 * * [simplify]: iters left: 2 (330 enodes) 96.359 * * [simplify]: Extracting #0: cost 1 inf + 0 96.359 * * [simplify]: Extracting #1: cost 6 inf + 0 96.359 * * [simplify]: Extracting #2: cost 27 inf + 0 96.359 * * [simplify]: Extracting #3: cost 92 inf + 1 96.359 * * [simplify]: Extracting #4: cost 150 inf + 331 96.360 * * [simplify]: Extracting #5: cost 169 inf + 583 96.361 * * [simplify]: Extracting #6: cost 140 inf + 4131 96.368 * * [simplify]: Extracting #7: cost 75 inf + 19843 96.380 * * [simplify]: Extracting #8: cost 19 inf + 62628 96.390 * * [simplify]: Extracting #9: cost 0 inf + 82333 96.401 * * [simplify]: Extracting #10: cost 0 inf + 82210 96.425 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2))) 96.425 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2)))))) 96.425 * * * * [progress]: [ 146 / 217 ] simplifiying candidate # 96.425 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 96.426 * * [simplify]: iters left: 6 (20 enodes) 96.437 * * [simplify]: iters left: 5 (80 enodes) 96.463 * * [simplify]: iters left: 4 (124 enodes) 96.483 * * [simplify]: iters left: 3 (184 enodes) 96.535 * * [simplify]: iters left: 2 (311 enodes) 96.622 * * [simplify]: Extracting #0: cost 1 inf + 0 96.622 * * [simplify]: Extracting #1: cost 6 inf + 0 96.622 * * [simplify]: Extracting #2: cost 13 inf + 0 96.622 * * [simplify]: Extracting #3: cost 28 inf + 0 96.623 * * [simplify]: Extracting #4: cost 75 inf + 164 96.624 * * [simplify]: Extracting #5: cost 141 inf + 652 96.626 * * [simplify]: Extracting #6: cost 126 inf + 4929 96.632 * * [simplify]: Extracting #7: cost 63 inf + 22636 96.651 * * [simplify]: Extracting #8: cost 10 inf + 62135 96.661 * * [simplify]: Extracting #9: cost 0 inf + 69923 96.670 * * [simplify]: Extracting #10: cost 0 inf + 69792 96.679 * [simplify]: Simplified to (/ (fabs (cbrt k)) (* (cbrt (pow (pow (* (* 2 PI) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* 2 PI) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))) 96.679 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (* (cbrt (pow (pow (* (* 2 PI) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* 2 PI) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))) (/ (sqrt (cbrt k)) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 96.679 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 96.679 * * [simplify]: iters left: 6 (18 enodes) 96.688 * * [simplify]: iters left: 5 (71 enodes) 96.713 * * [simplify]: iters left: 4 (113 enodes) 96.739 * * [simplify]: iters left: 3 (173 enodes) 96.784 * * [simplify]: iters left: 2 (300 enodes) 96.884 * * [simplify]: Extracting #0: cost 1 inf + 0 96.884 * * [simplify]: Extracting #1: cost 4 inf + 0 96.884 * * [simplify]: Extracting #2: cost 8 inf + 0 96.884 * * [simplify]: Extracting #3: cost 23 inf + 0 96.885 * * [simplify]: Extracting #4: cost 70 inf + 2 96.885 * * [simplify]: Extracting #5: cost 138 inf + 87 96.886 * * [simplify]: Extracting #6: cost 153 inf + 462 96.890 * * [simplify]: Extracting #7: cost 99 inf + 9820 96.898 * * [simplify]: Extracting #8: cost 33 inf + 37602 96.905 * * [simplify]: Extracting #9: cost 4 inf + 60570 96.914 * * [simplify]: Extracting #10: cost 0 inf + 63276 96.923 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 96.923 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) (/ (sqrt (cbrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))))) 96.923 * * * * [progress]: [ 147 / 217 ] simplifiying candidate # 96.924 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 96.924 * * [simplify]: iters left: 6 (19 enodes) 96.933 * * [simplify]: iters left: 5 (75 enodes) 96.957 * * [simplify]: iters left: 4 (114 enodes) 96.980 * * [simplify]: iters left: 3 (176 enodes) 97.017 * * [simplify]: iters left: 2 (319 enodes) 97.116 * * [simplify]: Extracting #0: cost 1 inf + 0 97.116 * * [simplify]: Extracting #1: cost 4 inf + 0 97.116 * * [simplify]: Extracting #2: cost 10 inf + 0 97.116 * * [simplify]: Extracting #3: cost 29 inf + 0 97.117 * * [simplify]: Extracting #4: cost 89 inf + 83 97.117 * * [simplify]: Extracting #5: cost 143 inf + 533 97.118 * * [simplify]: Extracting #6: cost 126 inf + 4743 97.121 * * [simplify]: Extracting #7: cost 66 inf + 17703 97.130 * * [simplify]: Extracting #8: cost 14 inf + 55925 97.148 * * [simplify]: Extracting #9: cost 0 inf + 69470 97.159 * * [simplify]: Extracting #10: cost 0 inf + 68605 97.168 * * [simplify]: Extracting #11: cost 0 inf + 68475 97.178 * [simplify]: Simplified to (/ (fabs (cbrt k)) (sqrt (pow (pow (* (* 2 PI) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 97.178 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (sqrt (pow (pow (* (* 2 PI) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 97.178 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 97.178 * * [simplify]: iters left: 6 (18 enodes) 97.186 * * [simplify]: iters left: 5 (71 enodes) 97.206 * * [simplify]: iters left: 4 (114 enodes) 97.241 * * [simplify]: iters left: 3 (174 enodes) 97.300 * * [simplify]: iters left: 2 (301 enodes) 97.390 * * [simplify]: Extracting #0: cost 1 inf + 0 97.390 * * [simplify]: Extracting #1: cost 4 inf + 0 97.390 * * [simplify]: Extracting #2: cost 9 inf + 0 97.390 * * [simplify]: Extracting #3: cost 28 inf + 0 97.391 * * [simplify]: Extracting #4: cost 82 inf + 83 97.391 * * [simplify]: Extracting #5: cost 137 inf + 412 97.392 * * [simplify]: Extracting #6: cost 153 inf + 583 97.395 * * [simplify]: Extracting #7: cost 103 inf + 10399 97.405 * * [simplify]: Extracting #8: cost 34 inf + 35095 97.418 * * [simplify]: Extracting #9: cost 9 inf + 55429 97.429 * * [simplify]: Extracting #10: cost 0 inf + 64281 97.438 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 97.438 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))))) 97.438 * * * * [progress]: [ 148 / 217 ] simplifiying candidate # 97.438 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) 1) 97.438 * * [simplify]: iters left: 6 (6 enodes) 97.440 * * [simplify]: iters left: 5 (19 enodes) 97.443 * * [simplify]: iters left: 4 (23 enodes) 97.446 * * [simplify]: Extracting #0: cost 1 inf + 0 97.446 * * [simplify]: Extracting #1: cost 5 inf + 0 97.446 * * [simplify]: Extracting #2: cost 7 inf + 1 97.446 * * [simplify]: Extracting #3: cost 6 inf + 2 97.447 * * [simplify]: Extracting #4: cost 0 inf + 648 97.447 * [simplify]: Simplified to (fabs (cbrt k)) 97.447 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 97.447 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 97.447 * * [simplify]: iters left: 6 (17 enodes) 97.451 * * [simplify]: iters left: 5 (68 enodes) 97.467 * * [simplify]: iters left: 4 (108 enodes) 97.497 * * [simplify]: iters left: 3 (177 enodes) 97.535 * * [simplify]: iters left: 2 (331 enodes) 97.652 * * [simplify]: Extracting #0: cost 1 inf + 0 97.653 * * [simplify]: Extracting #1: cost 6 inf + 0 97.653 * * [simplify]: Extracting #2: cost 28 inf + 0 97.653 * * [simplify]: Extracting #3: cost 98 inf + 1 97.653 * * [simplify]: Extracting #4: cost 157 inf + 210 97.654 * * [simplify]: Extracting #5: cost 172 inf + 583 97.655 * * [simplify]: Extracting #6: cost 129 inf + 7224 97.659 * * [simplify]: Extracting #7: cost 72 inf + 22852 97.667 * * [simplify]: Extracting #8: cost 10 inf + 69815 97.677 * * [simplify]: Extracting #9: cost 1 inf + 76067 97.688 * * [simplify]: Extracting #10: cost 0 inf + 76640 97.698 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 97.698 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 97.698 * * * * [progress]: [ 149 / 217 ] simplifiying candidate # 97.698 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 97.698 * * [simplify]: iters left: 6 (19 enodes) 97.704 * * [simplify]: iters left: 5 (78 enodes) 97.717 * * [simplify]: iters left: 4 (125 enodes) 97.741 * * [simplify]: iters left: 3 (208 enodes) 97.780 * * [simplify]: iters left: 2 (389 enodes) 97.898 * * [simplify]: Extracting #0: cost 1 inf + 0 97.898 * * [simplify]: Extracting #1: cost 6 inf + 0 97.898 * * [simplify]: Extracting #2: cost 28 inf + 0 97.898 * * [simplify]: Extracting #3: cost 103 inf + 1 97.899 * * [simplify]: Extracting #4: cost 162 inf + 656 97.902 * * [simplify]: Extracting #5: cost 149 inf + 5033 97.909 * * [simplify]: Extracting #6: cost 86 inf + 15812 97.928 * * [simplify]: Extracting #7: cost 34 inf + 46279 97.942 * * [simplify]: Extracting #8: cost 1 inf + 75341 97.952 * * [simplify]: Extracting #9: cost 0 inf + 75866 97.962 * * [simplify]: Extracting #10: cost 0 inf + 75736 97.980 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow (pow (* (* 2 PI) n) (+ (sqrt k) 1)) (* 1/4 (- 1 (sqrt k))))) 97.980 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow (pow (* (* 2 PI) n) (+ (sqrt k) 1)) (* 1/4 (- 1 (sqrt k))))) (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)))))) 97.981 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 97.981 * * [simplify]: iters left: 6 (18 enodes) 97.986 * * [simplify]: iters left: 5 (74 enodes) 97.999 * * [simplify]: iters left: 4 (121 enodes) 98.027 * * [simplify]: iters left: 3 (201 enodes) 98.065 * * [simplify]: iters left: 2 (379 enodes) 98.167 * * [simplify]: Extracting #0: cost 1 inf + 0 98.167 * * [simplify]: Extracting #1: cost 6 inf + 0 98.167 * * [simplify]: Extracting #2: cost 26 inf + 0 98.168 * * [simplify]: Extracting #3: cost 101 inf + 1 98.168 * * [simplify]: Extracting #4: cost 167 inf + 333 98.169 * * [simplify]: Extracting #5: cost 187 inf + 585 98.172 * * [simplify]: Extracting #6: cost 147 inf + 5849 98.181 * * [simplify]: Extracting #7: cost 60 inf + 30697 98.198 * * [simplify]: Extracting #8: cost 11 inf + 68561 98.213 * * [simplify]: Extracting #9: cost 1 inf + 77475 98.223 * * [simplify]: Extracting #10: cost 0 inf + 78462 98.234 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4)))) 98.234 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))))))) 98.234 * * * * [progress]: [ 150 / 217 ] simplifiying candidate # 98.235 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 98.235 * * [simplify]: iters left: 6 (13 enodes) 98.242 * * [simplify]: iters left: 5 (52 enodes) 98.259 * * [simplify]: iters left: 4 (84 enodes) 98.275 * * [simplify]: iters left: 3 (145 enodes) 98.315 * * [simplify]: iters left: 2 (294 enodes) 98.399 * * [simplify]: Extracting #0: cost 1 inf + 0 98.399 * * [simplify]: Extracting #1: cost 6 inf + 0 98.400 * * [simplify]: Extracting #2: cost 27 inf + 0 98.400 * * [simplify]: Extracting #3: cost 96 inf + 1 98.401 * * [simplify]: Extracting #4: cost 145 inf + 922 98.405 * * [simplify]: Extracting #5: cost 109 inf + 12545 98.416 * * [simplify]: Extracting #6: cost 36 inf + 44971 98.425 * * [simplify]: Extracting #7: cost 0 inf + 71162 98.433 * * [simplify]: Extracting #8: cost 0 inf + 70719 98.442 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow n (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 98.442 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow n (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 98.443 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 98.443 * * [simplify]: iters left: 6 (14 enodes) 98.451 * * [simplify]: iters left: 5 (56 enodes) 98.470 * * [simplify]: iters left: 4 (92 enodes) 98.491 * * [simplify]: iters left: 3 (151 enodes) 98.526 * * [simplify]: iters left: 2 (284 enodes) 98.631 * * [simplify]: Extracting #0: cost 1 inf + 0 98.631 * * [simplify]: Extracting #1: cost 6 inf + 0 98.631 * * [simplify]: Extracting #2: cost 27 inf + 0 98.631 * * [simplify]: Extracting #3: cost 92 inf + 1 98.632 * * [simplify]: Extracting #4: cost 143 inf + 253 98.633 * * [simplify]: Extracting #5: cost 113 inf + 6186 98.641 * * [simplify]: Extracting #6: cost 59 inf + 26420 98.656 * * [simplify]: Extracting #7: cost 8 inf + 66348 98.673 * * [simplify]: Extracting #8: cost 0 inf + 71548 98.691 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 98.692 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 98.692 * * * * [progress]: [ 151 / 217 ] simplifiying candidate # 98.692 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) 98.692 * * [simplify]: iters left: 6 (18 enodes) 98.700 * * [simplify]: iters left: 5 (71 enodes) 98.712 * * [simplify]: iters left: 4 (115 enodes) 98.732 * * [simplify]: iters left: 3 (179 enodes) 98.772 * * [simplify]: iters left: 2 (312 enodes) 98.869 * * [simplify]: Extracting #0: cost 1 inf + 0 98.869 * * [simplify]: Extracting #1: cost 6 inf + 0 98.869 * * [simplify]: Extracting #2: cost 27 inf + 0 98.869 * * [simplify]: Extracting #3: cost 83 inf + 1 98.869 * * [simplify]: Extracting #4: cost 105 inf + 49 98.870 * * [simplify]: Extracting #5: cost 94 inf + 2667 98.872 * * [simplify]: Extracting #6: cost 103 inf + 6591 98.874 * * [simplify]: Extracting #7: cost 108 inf + 8595 98.878 * * [simplify]: Extracting #8: cost 58 inf + 30579 98.886 * * [simplify]: Extracting #9: cost 12 inf + 70529 98.898 * * [simplify]: Extracting #10: cost 0 inf + 83740 98.919 * * [simplify]: Extracting #11: cost 0 inf + 83175 98.941 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1)))) (/ (- 1 (sqrt k)) 2))) 98.941 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 98.941 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 98.942 * * [simplify]: iters left: 6 (17 enodes) 98.950 * * [simplify]: iters left: 5 (68 enodes) 98.972 * * [simplify]: iters left: 4 (108 enodes) 99.006 * * [simplify]: iters left: 3 (177 enodes) 99.047 * * [simplify]: iters left: 2 (331 enodes) 99.134 * * [simplify]: Extracting #0: cost 1 inf + 0 99.134 * * [simplify]: Extracting #1: cost 6 inf + 0 99.134 * * [simplify]: Extracting #2: cost 27 inf + 0 99.135 * * [simplify]: Extracting #3: cost 88 inf + 1 99.135 * * [simplify]: Extracting #4: cost 119 inf + 49 99.136 * * [simplify]: Extracting #5: cost 127 inf + 3980 99.138 * * [simplify]: Extracting #6: cost 105 inf + 9126 99.141 * * [simplify]: Extracting #7: cost 67 inf + 22626 99.149 * * [simplify]: Extracting #8: cost 20 inf + 60946 99.161 * * [simplify]: Extracting #9: cost 1 inf + 79172 99.181 * * [simplify]: Extracting #10: cost 0 inf + 79998 99.191 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 99.191 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2)))))) 99.192 * * * * [progress]: [ 152 / 217 ] simplifiying candidate # 99.192 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 99.192 * * [simplify]: iters left: 6 (17 enodes) 99.197 * * [simplify]: iters left: 5 (68 enodes) 99.208 * * [simplify]: iters left: 4 (109 enodes) 99.240 * * [simplify]: iters left: 3 (178 enodes) 99.277 * * [simplify]: iters left: 2 (332 enodes) 99.359 * * [simplify]: Extracting #0: cost 1 inf + 0 99.360 * * [simplify]: Extracting #1: cost 6 inf + 0 99.360 * * [simplify]: Extracting #2: cost 27 inf + 0 99.360 * * [simplify]: Extracting #3: cost 89 inf + 1 99.360 * * [simplify]: Extracting #4: cost 125 inf + 49 99.364 * * [simplify]: Extracting #5: cost 141 inf + 3122 99.366 * * [simplify]: Extracting #6: cost 104 inf + 9780 99.370 * * [simplify]: Extracting #7: cost 64 inf + 24422 99.378 * * [simplify]: Extracting #8: cost 12 inf + 66224 99.391 * * [simplify]: Extracting #9: cost 1 inf + 76695 99.402 * * [simplify]: Extracting #10: cost 0 inf + 77641 99.412 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 99.412 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 99.412 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 99.412 * * [simplify]: iters left: 6 (17 enodes) 99.417 * * [simplify]: iters left: 5 (68 enodes) 99.436 * * [simplify]: iters left: 4 (109 enodes) 99.466 * * [simplify]: iters left: 3 (178 enodes) 99.514 * * [simplify]: iters left: 2 (332 enodes) 99.644 * * [simplify]: Extracting #0: cost 1 inf + 0 99.644 * * [simplify]: Extracting #1: cost 6 inf + 0 99.644 * * [simplify]: Extracting #2: cost 27 inf + 0 99.645 * * [simplify]: Extracting #3: cost 89 inf + 1 99.645 * * [simplify]: Extracting #4: cost 125 inf + 49 99.646 * * [simplify]: Extracting #5: cost 141 inf + 3122 99.648 * * [simplify]: Extracting #6: cost 104 inf + 9780 99.652 * * [simplify]: Extracting #7: cost 64 inf + 24422 99.660 * * [simplify]: Extracting #8: cost 12 inf + 66224 99.675 * * [simplify]: Extracting #9: cost 1 inf + 76695 99.694 * * [simplify]: Extracting #10: cost 0 inf + 77641 99.707 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 99.707 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2)))))) 99.707 * * * * [progress]: [ 153 / 217 ] simplifiying candidate # 99.708 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow 1 (/ (- 1 (sqrt k)) 2))) 99.708 * * [simplify]: iters left: 6 (9 enodes) 99.711 * * [simplify]: iters left: 5 (33 enodes) 99.716 * * [simplify]: iters left: 4 (42 enodes) 99.723 * * [simplify]: iters left: 3 (44 enodes) 99.732 * * [simplify]: Extracting #0: cost 1 inf + 0 99.732 * * [simplify]: Extracting #1: cost 4 inf + 0 99.732 * * [simplify]: Extracting #2: cost 5 inf + 1 99.732 * * [simplify]: Extracting #3: cost 4 inf + 2 99.732 * * [simplify]: Extracting #4: cost 1 inf + 165 99.732 * * [simplify]: Extracting #5: cost 0 inf + 246 99.732 * [simplify]: Simplified to (sqrt (sqrt k)) 99.733 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 99.733 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 99.733 * * [simplify]: iters left: 6 (16 enodes) 99.742 * * [simplify]: iters left: 5 (65 enodes) 99.763 * * [simplify]: iters left: 4 (109 enodes) 99.793 * * [simplify]: iters left: 3 (177 enodes) 99.838 * * [simplify]: iters left: 2 (315 enodes) 99.960 * * [simplify]: Extracting #0: cost 1 inf + 0 99.960 * * [simplify]: Extracting #1: cost 6 inf + 0 99.960 * * [simplify]: Extracting #2: cost 29 inf + 0 99.960 * * [simplify]: Extracting #3: cost 95 inf + 1 99.961 * * [simplify]: Extracting #4: cost 148 inf + 622 99.965 * * [simplify]: Extracting #5: cost 118 inf + 7301 99.972 * * [simplify]: Extracting #6: cost 65 inf + 23827 99.985 * * [simplify]: Extracting #7: cost 21 inf + 54598 100.003 * * [simplify]: Extracting #8: cost 2 inf + 72415 100.021 * * [simplify]: Extracting #9: cost 0 inf + 74529 100.039 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 100.039 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 100.039 * * * * [progress]: [ 154 / 217 ] simplifiying candidate # 100.039 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 100.039 * * [simplify]: iters left: 6 (17 enodes) 100.044 * * [simplify]: iters left: 5 (70 enodes) 100.057 * * [simplify]: iters left: 4 (111 enodes) 100.080 * * [simplify]: iters left: 3 (184 enodes) 100.149 * * [simplify]: iters left: 2 (344 enodes) 100.287 * * [simplify]: Extracting #0: cost 1 inf + 0 100.287 * * [simplify]: Extracting #1: cost 6 inf + 0 100.287 * * [simplify]: Extracting #2: cost 27 inf + 0 100.288 * * [simplify]: Extracting #3: cost 97 inf + 1 100.288 * * [simplify]: Extracting #4: cost 151 inf + 335 100.290 * * [simplify]: Extracting #5: cost 135 inf + 5259 100.293 * * [simplify]: Extracting #6: cost 78 inf + 19003 100.301 * * [simplify]: Extracting #7: cost 11 inf + 70071 100.312 * * [simplify]: Extracting #8: cost 0 inf + 79942 100.329 * * [simplify]: Extracting #9: cost 0 inf + 78691 100.355 * * [simplify]: Extracting #10: cost 0 inf + 78429 100.371 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (* 1/2 (+ (sqrt k) 1))) (* 1/2 (- 1 (sqrt k))))) 100.371 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (* 1/2 (+ (sqrt k) 1))) (* 1/2 (- 1 (sqrt k))))) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 100.371 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 100.371 * * [simplify]: iters left: 6 (17 enodes) 100.377 * * [simplify]: iters left: 5 (70 enodes) 100.389 * * [simplify]: iters left: 4 (111 enodes) 100.407 * * [simplify]: iters left: 3 (184 enodes) 100.472 * * [simplify]: iters left: 2 (344 enodes) 100.570 * * [simplify]: Extracting #0: cost 1 inf + 0 100.570 * * [simplify]: Extracting #1: cost 6 inf + 0 100.570 * * [simplify]: Extracting #2: cost 27 inf + 0 100.571 * * [simplify]: Extracting #3: cost 97 inf + 1 100.572 * * [simplify]: Extracting #4: cost 151 inf + 335 100.574 * * [simplify]: Extracting #5: cost 135 inf + 5259 100.577 * * [simplify]: Extracting #6: cost 78 inf + 19003 100.585 * * [simplify]: Extracting #7: cost 11 inf + 70071 100.596 * * [simplify]: Extracting #8: cost 0 inf + 79942 100.609 * * [simplify]: Extracting #9: cost 0 inf + 78691 100.620 * * [simplify]: Extracting #10: cost 0 inf + 78429 100.630 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (* 1/2 (+ (sqrt k) 1))) (* 1/2 (- 1 (sqrt k))))) 100.630 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (* 1/2 (+ (sqrt k) 1))) (* 1/2 (- 1 (sqrt k)))))))) 100.631 * * * * [progress]: [ 155 / 217 ] simplifiying candidate # 100.631 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 100.631 * * [simplify]: iters left: 6 (18 enodes) 100.636 * * [simplify]: iters left: 5 (73 enodes) 100.654 * * [simplify]: iters left: 4 (113 enodes) 100.690 * * [simplify]: iters left: 3 (175 enodes) 100.724 * * [simplify]: iters left: 2 (318 enodes) 100.826 * * [simplify]: Extracting #0: cost 1 inf + 0 100.826 * * [simplify]: Extracting #1: cost 6 inf + 0 100.826 * * [simplify]: Extracting #2: cost 12 inf + 0 100.826 * * [simplify]: Extracting #3: cost 27 inf + 0 100.826 * * [simplify]: Extracting #4: cost 78 inf + 43 100.827 * * [simplify]: Extracting #5: cost 135 inf + 1356 100.828 * * [simplify]: Extracting #6: cost 114 inf + 7123 100.833 * * [simplify]: Extracting #7: cost 49 inf + 32729 100.848 * * [simplify]: Extracting #8: cost 13 inf + 61102 100.863 * * [simplify]: Extracting #9: cost 0 inf + 71870 100.876 * [simplify]: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 100.876 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 100.876 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 100.876 * * [simplify]: iters left: 6 (17 enodes) 100.881 * * [simplify]: iters left: 5 (68 enodes) 100.893 * * [simplify]: iters left: 4 (106 enodes) 100.919 * * [simplify]: iters left: 3 (171 enodes) 100.959 * * [simplify]: iters left: 2 (316 enodes) 101.048 * * [simplify]: Extracting #0: cost 1 inf + 0 101.049 * * [simplify]: Extracting #1: cost 4 inf + 0 101.049 * * [simplify]: Extracting #2: cost 8 inf + 0 101.049 * * [simplify]: Extracting #3: cost 23 inf + 0 101.049 * * [simplify]: Extracting #4: cost 73 inf + 2 101.050 * * [simplify]: Extracting #5: cost 143 inf + 48 101.052 * * [simplify]: Extracting #6: cost 125 inf + 4788 101.059 * * [simplify]: Extracting #7: cost 44 inf + 33400 101.072 * * [simplify]: Extracting #8: cost 15 inf + 53787 101.088 * * [simplify]: Extracting #9: cost 0 inf + 65353 101.096 * * [simplify]: Extracting #10: cost 0 inf + 65313 101.105 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 101.105 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))))) 101.105 * * * * [progress]: [ 156 / 217 ] simplifiying candidate # 101.106 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 101.106 * * [simplify]: iters left: 6 (17 enodes) 101.111 * * [simplify]: iters left: 5 (68 enodes) 101.131 * * [simplify]: iters left: 4 (107 enodes) 101.166 * * [simplify]: iters left: 3 (172 enodes) 101.233 * * [simplify]: iters left: 2 (317 enodes) 101.321 * * [simplify]: Extracting #0: cost 1 inf + 0 101.321 * * [simplify]: Extracting #1: cost 4 inf + 0 101.321 * * [simplify]: Extracting #2: cost 9 inf + 0 101.321 * * [simplify]: Extracting #3: cost 28 inf + 0 101.321 * * [simplify]: Extracting #4: cost 86 inf + 43 101.321 * * [simplify]: Extracting #5: cost 138 inf + 334 101.323 * * [simplify]: Extracting #6: cost 116 inf + 5903 101.327 * * [simplify]: Extracting #7: cost 43 inf + 32511 101.335 * * [simplify]: Extracting #8: cost 4 inf + 61188 101.343 * * [simplify]: Extracting #9: cost 0 inf + 63548 101.352 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 101.352 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 101.352 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 101.352 * * [simplify]: iters left: 6 (17 enodes) 101.357 * * [simplify]: iters left: 5 (68 enodes) 101.368 * * [simplify]: iters left: 4 (107 enodes) 101.388 * * [simplify]: iters left: 3 (172 enodes) 101.455 * * [simplify]: iters left: 2 (317 enodes) 101.529 * * [simplify]: Extracting #0: cost 1 inf + 0 101.529 * * [simplify]: Extracting #1: cost 4 inf + 0 101.529 * * [simplify]: Extracting #2: cost 9 inf + 0 101.529 * * [simplify]: Extracting #3: cost 28 inf + 0 101.529 * * [simplify]: Extracting #4: cost 86 inf + 43 101.530 * * [simplify]: Extracting #5: cost 138 inf + 334 101.531 * * [simplify]: Extracting #6: cost 116 inf + 5903 101.535 * * [simplify]: Extracting #7: cost 43 inf + 32511 101.543 * * [simplify]: Extracting #8: cost 4 inf + 61188 101.552 * * [simplify]: Extracting #9: cost 0 inf + 63548 101.560 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 101.560 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))))) 101.561 * * * * [progress]: [ 157 / 217 ] simplifiying candidate # 101.561 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 101.561 * * [simplify]: iters left: 4 (5 enodes) 101.562 * * [simplify]: iters left: 3 (15 enodes) 101.565 * * [simplify]: iters left: 2 (17 enodes) 101.567 * * [simplify]: Extracting #0: cost 1 inf + 0 101.567 * * [simplify]: Extracting #1: cost 4 inf + 0 101.567 * * [simplify]: Extracting #2: cost 5 inf + 1 101.567 * * [simplify]: Extracting #3: cost 4 inf + 2 101.567 * * [simplify]: Extracting #4: cost 1 inf + 165 101.567 * * [simplify]: Extracting #5: cost 0 inf + 246 101.568 * [simplify]: Simplified to (sqrt (sqrt k)) 101.568 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 101.568 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 101.568 * * [simplify]: iters left: 6 (16 enodes) 101.572 * * [simplify]: iters left: 5 (65 enodes) 101.583 * * [simplify]: iters left: 4 (109 enodes) 101.605 * * [simplify]: iters left: 3 (177 enodes) 101.637 * * [simplify]: iters left: 2 (315 enodes) 101.753 * * [simplify]: Extracting #0: cost 1 inf + 0 101.753 * * [simplify]: Extracting #1: cost 6 inf + 0 101.753 * * [simplify]: Extracting #2: cost 29 inf + 0 101.753 * * [simplify]: Extracting #3: cost 95 inf + 1 101.753 * * [simplify]: Extracting #4: cost 148 inf + 622 101.755 * * [simplify]: Extracting #5: cost 118 inf + 7301 101.759 * * [simplify]: Extracting #6: cost 65 inf + 23827 101.765 * * [simplify]: Extracting #7: cost 21 inf + 54598 101.775 * * [simplify]: Extracting #8: cost 2 inf + 72415 101.787 * * [simplify]: Extracting #9: cost 0 inf + 74529 101.800 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 101.800 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 101.800 * * * * [progress]: [ 158 / 217 ] simplifiying candidate # 101.800 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 101.800 * * [simplify]: iters left: 6 (17 enodes) 101.808 * * [simplify]: iters left: 5 (71 enodes) 101.821 * * [simplify]: iters left: 4 (115 enodes) 101.854 * * [simplify]: iters left: 3 (191 enodes) 101.898 * * [simplify]: iters left: 2 (360 enodes) 102.014 * * [simplify]: Extracting #0: cost 1 inf + 0 102.014 * * [simplify]: Extracting #1: cost 6 inf + 0 102.014 * * [simplify]: Extracting #2: cost 28 inf + 0 102.014 * * [simplify]: Extracting #3: cost 103 inf + 1 102.020 * * [simplify]: Extracting #4: cost 166 inf + 173 102.023 * * [simplify]: Extracting #5: cost 140 inf + 6288 102.030 * * [simplify]: Extracting #6: cost 76 inf + 20741 102.044 * * [simplify]: Extracting #7: cost 23 inf + 54622 102.054 * * [simplify]: Extracting #8: cost 0 inf + 74316 102.065 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4))) 102.065 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4))) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)))))) 102.065 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 102.066 * * [simplify]: iters left: 6 (17 enodes) 102.071 * * [simplify]: iters left: 5 (71 enodes) 102.083 * * [simplify]: iters left: 4 (115 enodes) 102.116 * * [simplify]: iters left: 3 (191 enodes) 102.156 * * [simplify]: iters left: 2 (360 enodes) 102.269 * * [simplify]: Extracting #0: cost 1 inf + 0 102.269 * * [simplify]: Extracting #1: cost 6 inf + 0 102.270 * * [simplify]: Extracting #2: cost 28 inf + 0 102.270 * * [simplify]: Extracting #3: cost 103 inf + 1 102.271 * * [simplify]: Extracting #4: cost 166 inf + 173 102.274 * * [simplify]: Extracting #5: cost 140 inf + 6288 102.282 * * [simplify]: Extracting #6: cost 76 inf + 20741 102.297 * * [simplify]: Extracting #7: cost 23 inf + 54622 102.317 * * [simplify]: Extracting #8: cost 0 inf + 74316 102.338 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4))) 102.338 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4)))))) 102.338 * * * * [progress]: [ 159 / 217 ] simplifiying candidate # 102.338 * [simplify]: Simplifying (/ (sqrt 1) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 102.339 * * [simplify]: iters left: 6 (13 enodes) 102.346 * * [simplify]: iters left: 5 (52 enodes) 102.369 * * [simplify]: iters left: 4 (84 enodes) 102.397 * * [simplify]: iters left: 3 (145 enodes) 102.434 * * [simplify]: iters left: 2 (294 enodes) 102.867 * * [simplify]: Extracting #0: cost 1 inf + 0 102.867 * * [simplify]: Extracting #1: cost 6 inf + 0 102.867 * * [simplify]: Extracting #2: cost 24 inf + 1 102.867 * * [simplify]: Extracting #3: cost 90 inf + 2 102.868 * * [simplify]: Extracting #4: cost 149 inf + 8 102.868 * * [simplify]: Extracting #5: cost 169 inf + 11 102.869 * * [simplify]: Extracting #6: cost 159 inf + 1542 102.871 * * [simplify]: Extracting #7: cost 93 inf + 14593 102.877 * * [simplify]: Extracting #8: cost 19 inf + 53485 102.887 * * [simplify]: Extracting #9: cost 1 inf + 69423 102.896 * * [simplify]: Extracting #10: cost 0 inf + 70419 102.904 * [simplify]: Simplified to (/ 1 (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 102.904 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 102.904 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 102.904 * * [simplify]: iters left: 6 (13 enodes) 102.911 * * [simplify]: iters left: 5 (53 enodes) 102.928 * * [simplify]: iters left: 4 (85 enodes) 102.957 * * [simplify]: iters left: 3 (149 enodes) 103.013 * * [simplify]: iters left: 2 (300 enodes) 103.090 * * [simplify]: Extracting #0: cost 1 inf + 0 103.090 * * [simplify]: Extracting #1: cost 6 inf + 0 103.090 * * [simplify]: Extracting #2: cost 27 inf + 0 103.090 * * [simplify]: Extracting #3: cost 93 inf + 43 103.091 * * [simplify]: Extracting #4: cost 144 inf + 623 103.092 * * [simplify]: Extracting #5: cost 111 inf + 8357 103.097 * * [simplify]: Extracting #6: cost 56 inf + 32115 103.109 * * [simplify]: Extracting #7: cost 4 inf + 71706 103.128 * * [simplify]: Extracting #8: cost 0 inf + 73074 103.148 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 103.149 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 103.149 * * * * [progress]: [ 160 / 217 ] simplifiying candidate # 103.149 * [simplify]: Simplifying (/ (sqrt 1) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) 103.149 * * [simplify]: iters left: 6 (18 enodes) 103.160 * * [simplify]: iters left: 5 (71 enodes) 103.183 * * [simplify]: iters left: 4 (115 enodes) 103.219 * * [simplify]: iters left: 3 (179 enodes) 103.273 * * [simplify]: iters left: 2 (312 enodes) 103.341 * * [simplify]: Extracting #0: cost 1 inf + 0 103.341 * * [simplify]: Extracting #1: cost 6 inf + 0 103.341 * * [simplify]: Extracting #2: cost 24 inf + 1 103.342 * * [simplify]: Extracting #3: cost 77 inf + 2 103.342 * * [simplify]: Extracting #4: cost 103 inf + 7 103.342 * * [simplify]: Extracting #5: cost 116 inf + 10 103.343 * * [simplify]: Extracting #6: cost 152 inf + 52 103.344 * * [simplify]: Extracting #7: cost 132 inf + 4945 103.347 * * [simplify]: Extracting #8: cost 79 inf + 19499 103.356 * * [simplify]: Extracting #9: cost 45 inf + 38098 103.377 * * [simplify]: Extracting #10: cost 11 inf + 70583 103.399 * * [simplify]: Extracting #11: cost 0 inf + 83598 103.422 * * [simplify]: Extracting #12: cost 0 inf + 82992 103.445 * * [simplify]: Extracting #13: cost 0 inf + 82951 103.468 * [simplify]: Simplified to (/ 1 (pow (* (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2))) 103.468 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (* (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 103.469 * [simplify]: Simplifying (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 103.469 * * [simplify]: iters left: 6 (16 enodes) 103.477 * * [simplify]: iters left: 5 (65 enodes) 103.488 * * [simplify]: iters left: 4 (105 enodes) 103.508 * * [simplify]: iters left: 3 (175 enodes) 103.554 * * [simplify]: iters left: 2 (329 enodes) 103.638 * * [simplify]: Extracting #0: cost 1 inf + 0 103.638 * * [simplify]: Extracting #1: cost 6 inf + 0 103.638 * * [simplify]: Extracting #2: cost 27 inf + 0 103.638 * * [simplify]: Extracting #3: cost 81 inf + 84 103.638 * * [simplify]: Extracting #4: cost 114 inf + 172 103.639 * * [simplify]: Extracting #5: cost 116 inf + 5000 103.641 * * [simplify]: Extracting #6: cost 108 inf + 8546 103.645 * * [simplify]: Extracting #7: cost 74 inf + 18251 103.654 * * [simplify]: Extracting #8: cost 22 inf + 56327 103.664 * * [simplify]: Extracting #9: cost 0 inf + 78905 103.673 * * [simplify]: Extracting #10: cost 0 inf + 78733 103.687 * [simplify]: Simplified to (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 103.687 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 103.687 * * * * [progress]: [ 161 / 217 ] simplifiying candidate # 103.688 * [simplify]: Simplifying (/ (sqrt 1) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 103.688 * * [simplify]: iters left: 6 (17 enodes) 103.703 * * [simplify]: iters left: 5 (68 enodes) 103.723 * * [simplify]: iters left: 4 (109 enodes) 103.741 * * [simplify]: iters left: 3 (178 enodes) 103.774 * * [simplify]: iters left: 2 (332 enodes) 103.869 * * [simplify]: Extracting #0: cost 1 inf + 0 103.869 * * [simplify]: Extracting #1: cost 6 inf + 0 103.869 * * [simplify]: Extracting #2: cost 24 inf + 1 103.870 * * [simplify]: Extracting #3: cost 83 inf + 2 103.871 * * [simplify]: Extracting #4: cost 123 inf + 7 103.872 * * [simplify]: Extracting #5: cost 168 inf + 10 103.873 * * [simplify]: Extracting #6: cost 177 inf + 179 103.876 * * [simplify]: Extracting #7: cost 134 inf + 6807 103.884 * * [simplify]: Extracting #8: cost 59 inf + 31175 103.905 * * [simplify]: Extracting #9: cost 3 inf + 74732 103.924 * * [simplify]: Extracting #10: cost 0 inf + 77063 103.944 * [simplify]: Simplified to (/ 1 (pow (sqrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 103.944 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (sqrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 103.944 * [simplify]: Simplifying (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 103.944 * * [simplify]: iters left: 6 (16 enodes) 103.953 * * [simplify]: iters left: 5 (65 enodes) 103.973 * * [simplify]: iters left: 4 (106 enodes) 104.008 * * [simplify]: iters left: 3 (175 enodes) 104.072 * * [simplify]: iters left: 2 (326 enodes) 104.196 * * [simplify]: Extracting #0: cost 1 inf + 0 104.196 * * [simplify]: Extracting #1: cost 6 inf + 0 104.197 * * [simplify]: Extracting #2: cost 27 inf + 0 104.197 * * [simplify]: Extracting #3: cost 84 inf + 84 104.198 * * [simplify]: Extracting #4: cost 116 inf + 418 104.200 * * [simplify]: Extracting #5: cost 124 inf + 4923 104.205 * * [simplify]: Extracting #6: cost 104 inf + 9460 104.213 * * [simplify]: Extracting #7: cost 57 inf + 27327 104.229 * * [simplify]: Extracting #8: cost 11 inf + 68322 104.250 * * [simplify]: Extracting #9: cost 1 inf + 78093 104.271 * * [simplify]: Extracting #10: cost 0 inf + 79130 104.292 * [simplify]: Simplified to (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 104.292 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 104.292 * * * * [progress]: [ 162 / 217 ] simplifiying candidate # 104.292 * [simplify]: Simplifying (/ (sqrt 1) (pow 1 (/ (- 1 (sqrt k)) 2))) 104.293 * * [simplify]: iters left: 6 (9 enodes) 104.298 * * [simplify]: iters left: 5 (33 enodes) 104.309 * * [simplify]: iters left: 4 (42 enodes) 104.320 * * [simplify]: Extracting #0: cost 1 inf + 0 104.320 * * [simplify]: Extracting #1: cost 0 inf + 1 104.321 * [simplify]: Simplified to 1 104.321 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 104.321 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 104.321 * * [simplify]: iters left: 6 (15 enodes) 104.329 * * [simplify]: iters left: 5 (62 enodes) 104.350 * * [simplify]: iters left: 4 (102 enodes) 104.367 * * [simplify]: iters left: 3 (171 enodes) 104.401 * * [simplify]: iters left: 2 (325 enodes) 104.530 * * [simplify]: Extracting #0: cost 1 inf + 0 104.530 * * [simplify]: Extracting #1: cost 6 inf + 0 104.530 * * [simplify]: Extracting #2: cost 27 inf + 0 104.530 * * [simplify]: Extracting #3: cost 92 inf + 43 104.531 * * [simplify]: Extracting #4: cost 150 inf + 254 104.534 * * [simplify]: Extracting #5: cost 126 inf + 5408 104.541 * * [simplify]: Extracting #6: cost 69 inf + 20183 104.554 * * [simplify]: Extracting #7: cost 20 inf + 55926 104.572 * * [simplify]: Extracting #8: cost 1 inf + 72863 104.594 * * [simplify]: Extracting #9: cost 0 inf + 73900 104.613 * * [simplify]: Extracting #10: cost 0 inf + 73769 104.626 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 104.627 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 104.627 * * * * [progress]: [ 163 / 217 ] simplifiying candidate # 104.627 * [simplify]: Simplifying (/ (sqrt 1) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 104.627 * * [simplify]: iters left: 6 (17 enodes) 104.633 * * [simplify]: iters left: 5 (70 enodes) 104.644 * * [simplify]: iters left: 4 (111 enodes) 104.669 * * [simplify]: iters left: 3 (184 enodes) 104.716 * * [simplify]: iters left: 2 (344 enodes) 104.798 * * [simplify]: Extracting #0: cost 1 inf + 0 104.798 * * [simplify]: Extracting #1: cost 6 inf + 0 104.799 * * [simplify]: Extracting #2: cost 25 inf + 1 104.799 * * [simplify]: Extracting #3: cost 91 inf + 2 104.799 * * [simplify]: Extracting #4: cost 152 inf + 7 104.800 * * [simplify]: Extracting #5: cost 173 inf + 221 104.801 * * [simplify]: Extracting #6: cost 156 inf + 2070 104.802 * * [simplify]: Extracting #7: cost 105 inf + 9711 104.807 * * [simplify]: Extracting #8: cost 50 inf + 32343 104.821 * * [simplify]: Extracting #9: cost 17 inf + 59712 104.841 * * [simplify]: Extracting #10: cost 1 inf + 76954 104.862 * * [simplify]: Extracting #11: cost 0 inf + 77479 104.883 * [simplify]: Simplified to (/ 1 (pow (pow (* (* n 2) PI) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k))))) 104.883 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (pow (* (* n 2) PI) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k))))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 104.883 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 104.884 * * [simplify]: iters left: 6 (16 enodes) 104.893 * * [simplify]: iters left: 5 (67 enodes) 104.915 * * [simplify]: iters left: 4 (112 enodes) 104.954 * * [simplify]: iters left: 3 (185 enodes) 104.989 * * [simplify]: iters left: 2 (328 enodes) 105.093 * * [simplify]: Extracting #0: cost 1 inf + 0 105.093 * * [simplify]: Extracting #1: cost 6 inf + 0 105.093 * * [simplify]: Extracting #2: cost 28 inf + 0 105.094 * * [simplify]: Extracting #3: cost 89 inf + 43 105.095 * * [simplify]: Extracting #4: cost 147 inf + 418 105.098 * * [simplify]: Extracting #5: cost 123 inf + 6812 105.106 * * [simplify]: Extracting #6: cost 61 inf + 30210 105.118 * * [simplify]: Extracting #7: cost 16 inf + 66368 105.129 * * [simplify]: Extracting #8: cost 0 inf + 83201 105.143 * * [simplify]: Extracting #9: cost 0 inf + 80290 105.163 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* n (* 2 PI)) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 105.163 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 105.164 * * * * [progress]: [ 164 / 217 ] simplifiying candidate # 105.164 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 105.164 * * [simplify]: iters left: 6 (18 enodes) 105.174 * * [simplify]: iters left: 5 (73 enodes) 105.198 * * [simplify]: iters left: 4 (116 enodes) 105.234 * * [simplify]: iters left: 3 (180 enodes) 105.290 * * [simplify]: iters left: 2 (323 enodes) 105.368 * * [simplify]: Extracting #0: cost 1 inf + 0 105.368 * * [simplify]: Extracting #1: cost 7 inf + 0 105.368 * * [simplify]: Extracting #2: cost 11 inf + 1 105.368 * * [simplify]: Extracting #3: cost 24 inf + 1 105.368 * * [simplify]: Extracting #4: cost 72 inf + 2 105.369 * * [simplify]: Extracting #5: cost 144 inf + 5 105.370 * * [simplify]: Extracting #6: cost 164 inf + 137 105.370 * * [simplify]: Extracting #7: cost 159 inf + 471 105.372 * * [simplify]: Extracting #8: cost 95 inf + 15714 105.379 * * [simplify]: Extracting #9: cost 18 inf + 53283 105.387 * * [simplify]: Extracting #10: cost 0 inf + 70322 105.396 * * [simplify]: Extracting #11: cost 0 inf + 70192 105.414 * [simplify]: Simplified to (/ (/ 1 (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 105.414 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 105.415 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 105.415 * * [simplify]: iters left: 6 (16 enodes) 105.424 * * [simplify]: iters left: 5 (65 enodes) 105.437 * * [simplify]: iters left: 4 (103 enodes) 105.455 * * [simplify]: iters left: 3 (169 enodes) 105.517 * * [simplify]: iters left: 2 (314 enodes) 105.643 * * [simplify]: Extracting #0: cost 1 inf + 0 105.643 * * [simplify]: Extracting #1: cost 4 inf + 0 105.643 * * [simplify]: Extracting #2: cost 8 inf + 0 105.644 * * [simplify]: Extracting #3: cost 19 inf + 1 105.644 * * [simplify]: Extracting #4: cost 71 inf + 84 105.645 * * [simplify]: Extracting #5: cost 138 inf + 171 105.647 * * [simplify]: Extracting #6: cost 115 inf + 6830 105.656 * * [simplify]: Extracting #7: cost 40 inf + 36992 105.673 * * [simplify]: Extracting #8: cost 3 inf + 64618 105.691 * * [simplify]: Extracting #9: cost 0 inf + 66897 105.708 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 105.708 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))))) 105.708 * * * * [progress]: [ 165 / 217 ] simplifiying candidate # 105.709 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 105.709 * * [simplify]: iters left: 6 (17 enodes) 105.718 * * [simplify]: iters left: 5 (68 enodes) 105.739 * * [simplify]: iters left: 4 (107 enodes) 105.778 * * [simplify]: iters left: 3 (172 enodes) 105.813 * * [simplify]: iters left: 2 (317 enodes) 105.935 * * [simplify]: Extracting #0: cost 1 inf + 0 105.935 * * [simplify]: Extracting #1: cost 4 inf + 0 105.936 * * [simplify]: Extracting #2: cost 6 inf + 1 105.936 * * [simplify]: Extracting #3: cost 23 inf + 1 105.936 * * [simplify]: Extracting #4: cost 83 inf + 2 105.937 * * [simplify]: Extracting #5: cost 141 inf + 7 105.938 * * [simplify]: Extracting #6: cost 160 inf + 137 105.939 * * [simplify]: Extracting #7: cost 154 inf + 554 105.941 * * [simplify]: Extracting #8: cost 101 inf + 10697 105.946 * * [simplify]: Extracting #9: cost 28 inf + 40115 105.955 * * [simplify]: Extracting #10: cost 1 inf + 63437 105.964 * * [simplify]: Extracting #11: cost 0 inf + 64474 105.973 * [simplify]: Simplified to (/ 1 (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 105.973 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 105.973 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 105.973 * * [simplify]: iters left: 6 (16 enodes) 105.982 * * [simplify]: iters left: 5 (65 enodes) 106.008 * * [simplify]: iters left: 4 (104 enodes) 106.041 * * [simplify]: iters left: 3 (169 enodes) 106.087 * * [simplify]: iters left: 2 (314 enodes) 106.204 * * [simplify]: Extracting #0: cost 1 inf + 0 106.204 * * [simplify]: Extracting #1: cost 4 inf + 0 106.204 * * [simplify]: Extracting #2: cost 9 inf + 0 106.204 * * [simplify]: Extracting #3: cost 24 inf + 1 106.204 * * [simplify]: Extracting #4: cost 85 inf + 84 106.204 * * [simplify]: Extracting #5: cost 139 inf + 377 106.206 * * [simplify]: Extracting #6: cost 119 inf + 5665 106.210 * * [simplify]: Extracting #7: cost 51 inf + 28365 106.217 * * [simplify]: Extracting #8: cost 15 inf + 53717 106.226 * * [simplify]: Extracting #9: cost 0 inf + 68234 106.247 * * [simplify]: Extracting #10: cost 0 inf + 68193 106.263 * * [simplify]: Extracting #11: cost 0 inf + 68152 106.272 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 106.272 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))))) 106.273 * * * * [progress]: [ 166 / 217 ] simplifiying candidate # 106.273 * [simplify]: Simplifying (/ (sqrt 1) 1) 106.273 * * [simplify]: iters left: 3 (3 enodes) 106.275 * * [simplify]: iters left: 2 (9 enodes) 106.277 * * [simplify]: iters left: 1 (11 enodes) 106.278 * * [simplify]: Extracting #0: cost 1 inf + 0 106.278 * * [simplify]: Extracting #1: cost 0 inf + 1 106.278 * [simplify]: Simplified to 1 106.278 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 106.279 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 106.279 * * [simplify]: iters left: 6 (15 enodes) 106.283 * * [simplify]: iters left: 5 (62 enodes) 106.294 * * [simplify]: iters left: 4 (102 enodes) 106.324 * * [simplify]: iters left: 3 (171 enodes) 106.370 * * [simplify]: iters left: 2 (325 enodes) 106.450 * * [simplify]: Extracting #0: cost 1 inf + 0 106.450 * * [simplify]: Extracting #1: cost 6 inf + 0 106.450 * * [simplify]: Extracting #2: cost 27 inf + 0 106.450 * * [simplify]: Extracting #3: cost 92 inf + 43 106.451 * * [simplify]: Extracting #4: cost 150 inf + 254 106.454 * * [simplify]: Extracting #5: cost 126 inf + 5408 106.461 * * [simplify]: Extracting #6: cost 69 inf + 20183 106.473 * * [simplify]: Extracting #7: cost 20 inf + 55926 106.483 * * [simplify]: Extracting #8: cost 1 inf + 72863 106.493 * * [simplify]: Extracting #9: cost 0 inf + 73900 106.502 * * [simplify]: Extracting #10: cost 0 inf + 73769 106.511 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 106.512 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 106.512 * * * * [progress]: [ 167 / 217 ] simplifiying candidate # 106.512 * [simplify]: Simplifying (/ (sqrt 1) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 106.512 * * [simplify]: iters left: 6 (17 enodes) 106.518 * * [simplify]: iters left: 5 (71 enodes) 106.530 * * [simplify]: iters left: 4 (115 enodes) 106.567 * * [simplify]: iters left: 3 (191 enodes) 106.616 * * [simplify]: iters left: 2 (359 enodes) 106.720 * * [simplify]: Extracting #0: cost 1 inf + 0 106.720 * * [simplify]: Extracting #1: cost 6 inf + 0 106.720 * * [simplify]: Extracting #2: cost 25 inf + 1 106.721 * * [simplify]: Extracting #3: cost 99 inf + 2 106.721 * * [simplify]: Extracting #4: cost 168 inf + 9 106.723 * * [simplify]: Extracting #5: cost 189 inf + 181 106.725 * * [simplify]: Extracting #6: cost 155 inf + 6288 106.730 * * [simplify]: Extracting #7: cost 60 inf + 34555 106.738 * * [simplify]: Extracting #8: cost 15 inf + 65395 106.751 * * [simplify]: Extracting #9: cost 0 inf + 76516 106.764 * * [simplify]: Extracting #10: cost 0 inf + 76254 106.784 * [simplify]: Simplified to (/ 1 (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4))) 106.784 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)))))) 106.785 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 106.785 * * [simplify]: iters left: 6 (16 enodes) 106.794 * * [simplify]: iters left: 5 (68 enodes) 106.815 * * [simplify]: iters left: 4 (112 enodes) 106.834 * * [simplify]: iters left: 3 (188 enodes) 106.892 * * [simplify]: iters left: 2 (356 enodes) 107.008 * * [simplify]: Extracting #0: cost 1 inf + 0 107.009 * * [simplify]: Extracting #1: cost 6 inf + 0 107.009 * * [simplify]: Extracting #2: cost 28 inf + 0 107.009 * * [simplify]: Extracting #3: cost 101 inf + 43 107.010 * * [simplify]: Extracting #4: cost 163 inf + 338 107.013 * * [simplify]: Extracting #5: cost 132 inf + 6947 107.021 * * [simplify]: Extracting #6: cost 64 inf + 27001 107.037 * * [simplify]: Extracting #7: cost 13 inf + 64461 107.057 * * [simplify]: Extracting #8: cost 0 inf + 76653 107.078 * * [simplify]: Extracting #9: cost 0 inf + 76523 107.099 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4))) 107.099 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)))))) 107.099 * * * * [progress]: [ 168 / 217 ] simplifiying candidate # 107.100 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 107.100 * * [simplify]: iters left: 6 (13 enodes) 107.107 * * [simplify]: iters left: 5 (52 enodes) 107.129 * * [simplify]: iters left: 4 (84 enodes) 107.158 * * [simplify]: iters left: 3 (145 enodes) 107.213 * * [simplify]: iters left: 2 (294 enodes) 107.284 * * [simplify]: Extracting #0: cost 1 inf + 0 107.284 * * [simplify]: Extracting #1: cost 6 inf + 0 107.284 * * [simplify]: Extracting #2: cost 27 inf + 0 107.284 * * [simplify]: Extracting #3: cost 96 inf + 1 107.285 * * [simplify]: Extracting #4: cost 145 inf + 922 107.286 * * [simplify]: Extracting #5: cost 109 inf + 12545 107.292 * * [simplify]: Extracting #6: cost 36 inf + 44971 107.304 * * [simplify]: Extracting #7: cost 0 inf + 71162 107.321 * * [simplify]: Extracting #8: cost 0 inf + 70719 107.332 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow n (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 107.332 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow n (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 107.332 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 107.332 * * [simplify]: iters left: 6 (14 enodes) 107.337 * * [simplify]: iters left: 5 (56 enodes) 107.350 * * [simplify]: iters left: 4 (92 enodes) 107.367 * * [simplify]: iters left: 3 (151 enodes) 107.422 * * [simplify]: iters left: 2 (284 enodes) 107.498 * * [simplify]: Extracting #0: cost 1 inf + 0 107.498 * * [simplify]: Extracting #1: cost 6 inf + 0 107.499 * * [simplify]: Extracting #2: cost 27 inf + 0 107.499 * * [simplify]: Extracting #3: cost 92 inf + 1 107.499 * * [simplify]: Extracting #4: cost 143 inf + 253 107.501 * * [simplify]: Extracting #5: cost 113 inf + 6186 107.504 * * [simplify]: Extracting #6: cost 59 inf + 26420 107.511 * * [simplify]: Extracting #7: cost 8 inf + 66348 107.520 * * [simplify]: Extracting #8: cost 0 inf + 71548 107.534 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 107.534 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 107.534 * * * * [progress]: [ 169 / 217 ] simplifiying candidate # 107.535 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) 107.535 * * [simplify]: iters left: 6 (18 enodes) 107.544 * * [simplify]: iters left: 5 (71 enodes) 107.572 * * [simplify]: iters left: 4 (115 enodes) 107.608 * * [simplify]: iters left: 3 (179 enodes) 107.640 * * [simplify]: iters left: 2 (312 enodes) 107.743 * * [simplify]: Extracting #0: cost 1 inf + 0 107.743 * * [simplify]: Extracting #1: cost 6 inf + 0 107.743 * * [simplify]: Extracting #2: cost 27 inf + 0 107.743 * * [simplify]: Extracting #3: cost 83 inf + 1 107.743 * * [simplify]: Extracting #4: cost 105 inf + 49 107.744 * * [simplify]: Extracting #5: cost 94 inf + 2667 107.746 * * [simplify]: Extracting #6: cost 103 inf + 6591 107.748 * * [simplify]: Extracting #7: cost 108 inf + 8595 107.752 * * [simplify]: Extracting #8: cost 58 inf + 30579 107.768 * * [simplify]: Extracting #9: cost 12 inf + 70529 107.794 * * [simplify]: Extracting #10: cost 0 inf + 83740 107.816 * * [simplify]: Extracting #11: cost 0 inf + 83175 107.839 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1)))) (/ (- 1 (sqrt k)) 2))) 107.839 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 107.839 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 107.840 * * [simplify]: iters left: 6 (17 enodes) 107.849 * * [simplify]: iters left: 5 (68 enodes) 107.871 * * [simplify]: iters left: 4 (108 enodes) 107.891 * * [simplify]: iters left: 3 (177 enodes) 107.935 * * [simplify]: iters left: 2 (331 enodes) 108.028 * * [simplify]: Extracting #0: cost 1 inf + 0 108.028 * * [simplify]: Extracting #1: cost 6 inf + 0 108.029 * * [simplify]: Extracting #2: cost 27 inf + 0 108.029 * * [simplify]: Extracting #3: cost 88 inf + 1 108.030 * * [simplify]: Extracting #4: cost 119 inf + 49 108.031 * * [simplify]: Extracting #5: cost 127 inf + 3980 108.036 * * [simplify]: Extracting #6: cost 105 inf + 9126 108.043 * * [simplify]: Extracting #7: cost 67 inf + 22626 108.057 * * [simplify]: Extracting #8: cost 20 inf + 60946 108.077 * * [simplify]: Extracting #9: cost 1 inf + 79172 108.090 * * [simplify]: Extracting #10: cost 0 inf + 79998 108.100 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 108.100 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2)))))) 108.100 * * * * [progress]: [ 170 / 217 ] simplifiying candidate # 108.101 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 108.101 * * [simplify]: iters left: 6 (17 enodes) 108.105 * * [simplify]: iters left: 5 (68 enodes) 108.117 * * [simplify]: iters left: 4 (109 enodes) 108.157 * * [simplify]: iters left: 3 (178 enodes) 108.219 * * [simplify]: iters left: 2 (332 enodes) 108.318 * * [simplify]: Extracting #0: cost 1 inf + 0 108.318 * * [simplify]: Extracting #1: cost 6 inf + 0 108.318 * * [simplify]: Extracting #2: cost 27 inf + 0 108.318 * * [simplify]: Extracting #3: cost 89 inf + 1 108.319 * * [simplify]: Extracting #4: cost 125 inf + 49 108.321 * * [simplify]: Extracting #5: cost 141 inf + 3122 108.326 * * [simplify]: Extracting #6: cost 104 inf + 9780 108.333 * * [simplify]: Extracting #7: cost 64 inf + 24422 108.349 * * [simplify]: Extracting #8: cost 12 inf + 66224 108.369 * * [simplify]: Extracting #9: cost 1 inf + 76695 108.393 * * [simplify]: Extracting #10: cost 0 inf + 77641 108.407 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 108.407 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 108.408 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 108.408 * * [simplify]: iters left: 6 (17 enodes) 108.413 * * [simplify]: iters left: 5 (68 enodes) 108.424 * * [simplify]: iters left: 4 (109 enodes) 108.458 * * [simplify]: iters left: 3 (178 enodes) 108.527 * * [simplify]: iters left: 2 (332 enodes) 108.649 * * [simplify]: Extracting #0: cost 1 inf + 0 108.649 * * [simplify]: Extracting #1: cost 6 inf + 0 108.649 * * [simplify]: Extracting #2: cost 27 inf + 0 108.653 * * [simplify]: Extracting #3: cost 89 inf + 1 108.654 * * [simplify]: Extracting #4: cost 125 inf + 49 108.656 * * [simplify]: Extracting #5: cost 141 inf + 3122 108.660 * * [simplify]: Extracting #6: cost 104 inf + 9780 108.668 * * [simplify]: Extracting #7: cost 64 inf + 24422 108.683 * * [simplify]: Extracting #8: cost 12 inf + 66224 108.702 * * [simplify]: Extracting #9: cost 1 inf + 76695 108.712 * * [simplify]: Extracting #10: cost 0 inf + 77641 108.722 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 108.722 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2)))))) 108.722 * * * * [progress]: [ 171 / 217 ] simplifiying candidate # 108.722 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow 1 (/ (- 1 (sqrt k)) 2))) 108.722 * * [simplify]: iters left: 6 (9 enodes) 108.725 * * [simplify]: iters left: 5 (33 enodes) 108.731 * * [simplify]: iters left: 4 (42 enodes) 108.737 * * [simplify]: iters left: 3 (44 enodes) 108.743 * * [simplify]: Extracting #0: cost 1 inf + 0 108.743 * * [simplify]: Extracting #1: cost 4 inf + 0 108.743 * * [simplify]: Extracting #2: cost 5 inf + 1 108.743 * * [simplify]: Extracting #3: cost 4 inf + 2 108.743 * * [simplify]: Extracting #4: cost 1 inf + 165 108.743 * * [simplify]: Extracting #5: cost 0 inf + 246 108.744 * [simplify]: Simplified to (sqrt (sqrt k)) 108.744 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 108.744 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 108.744 * * [simplify]: iters left: 6 (16 enodes) 108.748 * * [simplify]: iters left: 5 (65 enodes) 108.771 * * [simplify]: iters left: 4 (109 enodes) 108.794 * * [simplify]: iters left: 3 (177 enodes) 108.825 * * [simplify]: iters left: 2 (315 enodes) 108.902 * * [simplify]: Extracting #0: cost 1 inf + 0 108.902 * * [simplify]: Extracting #1: cost 6 inf + 0 108.902 * * [simplify]: Extracting #2: cost 29 inf + 0 108.903 * * [simplify]: Extracting #3: cost 95 inf + 1 108.903 * * [simplify]: Extracting #4: cost 148 inf + 622 108.905 * * [simplify]: Extracting #5: cost 118 inf + 7301 108.908 * * [simplify]: Extracting #6: cost 65 inf + 23827 108.916 * * [simplify]: Extracting #7: cost 21 inf + 54598 108.925 * * [simplify]: Extracting #8: cost 2 inf + 72415 108.940 * * [simplify]: Extracting #9: cost 0 inf + 74529 108.958 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 108.958 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 108.958 * * * * [progress]: [ 172 / 217 ] simplifiying candidate # 108.958 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 108.958 * * [simplify]: iters left: 6 (17 enodes) 108.964 * * [simplify]: iters left: 5 (70 enodes) 108.974 * * [simplify]: iters left: 4 (111 enodes) 108.993 * * [simplify]: iters left: 3 (184 enodes) 109.063 * * [simplify]: iters left: 2 (344 enodes) 109.188 * * [simplify]: Extracting #0: cost 1 inf + 0 109.188 * * [simplify]: Extracting #1: cost 6 inf + 0 109.188 * * [simplify]: Extracting #2: cost 27 inf + 0 109.189 * * [simplify]: Extracting #3: cost 97 inf + 1 109.189 * * [simplify]: Extracting #4: cost 151 inf + 335 109.191 * * [simplify]: Extracting #5: cost 135 inf + 5259 109.194 * * [simplify]: Extracting #6: cost 78 inf + 19003 109.202 * * [simplify]: Extracting #7: cost 11 inf + 70071 109.217 * * [simplify]: Extracting #8: cost 0 inf + 79942 109.239 * * [simplify]: Extracting #9: cost 0 inf + 78691 109.260 * * [simplify]: Extracting #10: cost 0 inf + 78429 109.271 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (* 1/2 (+ (sqrt k) 1))) (* 1/2 (- 1 (sqrt k))))) 109.271 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (* 1/2 (+ (sqrt k) 1))) (* 1/2 (- 1 (sqrt k))))) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 109.272 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 109.272 * * [simplify]: iters left: 6 (17 enodes) 109.277 * * [simplify]: iters left: 5 (70 enodes) 109.289 * * [simplify]: iters left: 4 (111 enodes) 109.325 * * [simplify]: iters left: 3 (184 enodes) 109.366 * * [simplify]: iters left: 2 (344 enodes) 109.465 * * [simplify]: Extracting #0: cost 1 inf + 0 109.465 * * [simplify]: Extracting #1: cost 6 inf + 0 109.465 * * [simplify]: Extracting #2: cost 27 inf + 0 109.465 * * [simplify]: Extracting #3: cost 97 inf + 1 109.466 * * [simplify]: Extracting #4: cost 151 inf + 335 109.467 * * [simplify]: Extracting #5: cost 135 inf + 5259 109.470 * * [simplify]: Extracting #6: cost 78 inf + 19003 109.480 * * [simplify]: Extracting #7: cost 11 inf + 70071 109.497 * * [simplify]: Extracting #8: cost 0 inf + 79942 109.510 * * [simplify]: Extracting #9: cost 0 inf + 78691 109.521 * * [simplify]: Extracting #10: cost 0 inf + 78429 109.537 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (* 1/2 (+ (sqrt k) 1))) (* 1/2 (- 1 (sqrt k))))) 109.537 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (* 1/2 (+ (sqrt k) 1))) (* 1/2 (- 1 (sqrt k)))))))) 109.538 * * * * [progress]: [ 173 / 217 ] simplifiying candidate # 109.538 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 109.538 * * [simplify]: iters left: 6 (18 enodes) 109.543 * * [simplify]: iters left: 5 (73 enodes) 109.555 * * [simplify]: iters left: 4 (113 enodes) 109.577 * * [simplify]: iters left: 3 (175 enodes) 109.640 * * [simplify]: iters left: 2 (318 enodes) 109.738 * * [simplify]: Extracting #0: cost 1 inf + 0 109.738 * * [simplify]: Extracting #1: cost 6 inf + 0 109.738 * * [simplify]: Extracting #2: cost 12 inf + 0 109.738 * * [simplify]: Extracting #3: cost 27 inf + 0 109.738 * * [simplify]: Extracting #4: cost 78 inf + 43 109.740 * * [simplify]: Extracting #5: cost 135 inf + 1356 109.743 * * [simplify]: Extracting #6: cost 114 inf + 7123 109.752 * * [simplify]: Extracting #7: cost 49 inf + 32729 109.766 * * [simplify]: Extracting #8: cost 13 inf + 61102 109.784 * * [simplify]: Extracting #9: cost 0 inf + 71870 109.802 * [simplify]: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 109.802 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 109.803 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 109.803 * * [simplify]: iters left: 6 (17 enodes) 109.812 * * [simplify]: iters left: 5 (68 enodes) 109.834 * * [simplify]: iters left: 4 (106 enodes) 109.855 * * [simplify]: iters left: 3 (171 enodes) 109.904 * * [simplify]: iters left: 2 (316 enodes) 109.979 * * [simplify]: Extracting #0: cost 1 inf + 0 109.979 * * [simplify]: Extracting #1: cost 4 inf + 0 109.979 * * [simplify]: Extracting #2: cost 8 inf + 0 109.979 * * [simplify]: Extracting #3: cost 23 inf + 0 109.979 * * [simplify]: Extracting #4: cost 73 inf + 2 109.980 * * [simplify]: Extracting #5: cost 143 inf + 48 109.981 * * [simplify]: Extracting #6: cost 125 inf + 4788 109.985 * * [simplify]: Extracting #7: cost 44 inf + 33400 109.999 * * [simplify]: Extracting #8: cost 15 inf + 53787 110.015 * * [simplify]: Extracting #9: cost 0 inf + 65353 110.023 * * [simplify]: Extracting #10: cost 0 inf + 65313 110.032 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 110.032 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))))) 110.033 * * * * [progress]: [ 174 / 217 ] simplifiying candidate # 110.033 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 110.033 * * [simplify]: iters left: 6 (17 enodes) 110.038 * * [simplify]: iters left: 5 (68 enodes) 110.062 * * [simplify]: iters left: 4 (107 enodes) 110.096 * * [simplify]: iters left: 3 (172 enodes) 110.159 * * [simplify]: iters left: 2 (317 enodes) 110.247 * * [simplify]: Extracting #0: cost 1 inf + 0 110.247 * * [simplify]: Extracting #1: cost 4 inf + 0 110.247 * * [simplify]: Extracting #2: cost 9 inf + 0 110.248 * * [simplify]: Extracting #3: cost 28 inf + 0 110.248 * * [simplify]: Extracting #4: cost 86 inf + 43 110.249 * * [simplify]: Extracting #5: cost 138 inf + 334 110.251 * * [simplify]: Extracting #6: cost 116 inf + 5903 110.259 * * [simplify]: Extracting #7: cost 43 inf + 32511 110.270 * * [simplify]: Extracting #8: cost 4 inf + 61188 110.278 * * [simplify]: Extracting #9: cost 0 inf + 63548 110.290 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 110.290 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 110.291 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 110.291 * * [simplify]: iters left: 6 (17 enodes) 110.300 * * [simplify]: iters left: 5 (68 enodes) 110.324 * * [simplify]: iters left: 4 (107 enodes) 110.359 * * [simplify]: iters left: 3 (172 enodes) 110.415 * * [simplify]: iters left: 2 (317 enodes) 110.493 * * [simplify]: Extracting #0: cost 1 inf + 0 110.493 * * [simplify]: Extracting #1: cost 4 inf + 0 110.493 * * [simplify]: Extracting #2: cost 9 inf + 0 110.493 * * [simplify]: Extracting #3: cost 28 inf + 0 110.493 * * [simplify]: Extracting #4: cost 86 inf + 43 110.494 * * [simplify]: Extracting #5: cost 138 inf + 334 110.497 * * [simplify]: Extracting #6: cost 116 inf + 5903 110.505 * * [simplify]: Extracting #7: cost 43 inf + 32511 110.520 * * [simplify]: Extracting #8: cost 4 inf + 61188 110.532 * * [simplify]: Extracting #9: cost 0 inf + 63548 110.541 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 110.541 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))))) 110.542 * * * * [progress]: [ 175 / 217 ] simplifiying candidate # 110.542 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 110.542 * * [simplify]: iters left: 4 (5 enodes) 110.543 * * [simplify]: iters left: 3 (15 enodes) 110.546 * * [simplify]: iters left: 2 (17 enodes) 110.548 * * [simplify]: Extracting #0: cost 1 inf + 0 110.548 * * [simplify]: Extracting #1: cost 4 inf + 0 110.548 * * [simplify]: Extracting #2: cost 5 inf + 1 110.549 * * [simplify]: Extracting #3: cost 4 inf + 2 110.549 * * [simplify]: Extracting #4: cost 1 inf + 165 110.549 * * [simplify]: Extracting #5: cost 0 inf + 246 110.549 * [simplify]: Simplified to (sqrt (sqrt k)) 110.549 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 110.549 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 110.549 * * [simplify]: iters left: 6 (16 enodes) 110.554 * * [simplify]: iters left: 5 (65 enodes) 110.576 * * [simplify]: iters left: 4 (109 enodes) 110.608 * * [simplify]: iters left: 3 (177 enodes) 110.649 * * [simplify]: iters left: 2 (315 enodes) 110.741 * * [simplify]: Extracting #0: cost 1 inf + 0 110.741 * * [simplify]: Extracting #1: cost 6 inf + 0 110.741 * * [simplify]: Extracting #2: cost 29 inf + 0 110.741 * * [simplify]: Extracting #3: cost 95 inf + 1 110.741 * * [simplify]: Extracting #4: cost 148 inf + 622 110.743 * * [simplify]: Extracting #5: cost 118 inf + 7301 110.747 * * [simplify]: Extracting #6: cost 65 inf + 23827 110.753 * * [simplify]: Extracting #7: cost 21 inf + 54598 110.764 * * [simplify]: Extracting #8: cost 2 inf + 72415 110.780 * * [simplify]: Extracting #9: cost 0 inf + 74529 110.789 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 110.789 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 110.789 * * * * [progress]: [ 176 / 217 ] simplifiying candidate # 110.790 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 110.790 * * [simplify]: iters left: 6 (17 enodes) 110.795 * * [simplify]: iters left: 5 (71 enodes) 110.808 * * [simplify]: iters left: 4 (115 enodes) 110.849 * * [simplify]: iters left: 3 (191 enodes) 110.902 * * [simplify]: iters left: 2 (360 enodes) 111.021 * * [simplify]: Extracting #0: cost 1 inf + 0 111.021 * * [simplify]: Extracting #1: cost 6 inf + 0 111.022 * * [simplify]: Extracting #2: cost 28 inf + 0 111.022 * * [simplify]: Extracting #3: cost 103 inf + 1 111.023 * * [simplify]: Extracting #4: cost 166 inf + 173 111.026 * * [simplify]: Extracting #5: cost 140 inf + 6288 111.033 * * [simplify]: Extracting #6: cost 76 inf + 20741 111.048 * * [simplify]: Extracting #7: cost 23 inf + 54622 111.069 * * [simplify]: Extracting #8: cost 0 inf + 74316 111.093 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4))) 111.094 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4))) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)))))) 111.094 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 111.094 * * [simplify]: iters left: 6 (17 enodes) 111.099 * * [simplify]: iters left: 5 (71 enodes) 111.111 * * [simplify]: iters left: 4 (115 enodes) 111.146 * * [simplify]: iters left: 3 (191 enodes) 111.190 * * [simplify]: iters left: 2 (360 enodes) 111.320 * * [simplify]: Extracting #0: cost 1 inf + 0 111.320 * * [simplify]: Extracting #1: cost 6 inf + 0 111.320 * * [simplify]: Extracting #2: cost 28 inf + 0 111.320 * * [simplify]: Extracting #3: cost 103 inf + 1 111.320 * * [simplify]: Extracting #4: cost 166 inf + 173 111.323 * * [simplify]: Extracting #5: cost 140 inf + 6288 111.331 * * [simplify]: Extracting #6: cost 76 inf + 20741 111.345 * * [simplify]: Extracting #7: cost 23 inf + 54622 111.365 * * [simplify]: Extracting #8: cost 0 inf + 74316 111.386 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4))) 111.386 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4)))))) 111.386 * * * * [progress]: [ 177 / 217 ] simplifiying candidate # 111.387 * [simplify]: Simplifying (/ 1 (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 111.387 * * [simplify]: iters left: 6 (12 enodes) 111.394 * * [simplify]: iters left: 5 (49 enodes) 111.405 * * [simplify]: iters left: 4 (85 enodes) 111.420 * * [simplify]: iters left: 3 (148 enodes) 111.472 * * [simplify]: iters left: 2 (286 enodes) 111.564 * * [simplify]: Extracting #0: cost 1 inf + 0 111.564 * * [simplify]: Extracting #1: cost 6 inf + 0 111.564 * * [simplify]: Extracting #2: cost 26 inf + 1 111.564 * * [simplify]: Extracting #3: cost 93 inf + 2 111.565 * * [simplify]: Extracting #4: cost 148 inf + 8 111.566 * * [simplify]: Extracting #5: cost 168 inf + 11 111.567 * * [simplify]: Extracting #6: cost 162 inf + 877 111.572 * * [simplify]: Extracting #7: cost 91 inf + 15628 111.584 * * [simplify]: Extracting #8: cost 19 inf + 53324 111.601 * * [simplify]: Extracting #9: cost 0 inf + 70691 111.612 * * [simplify]: Extracting #10: cost 0 inf + 70278 111.621 * [simplify]: Simplified to (/ 1 (pow (pow n (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 111.621 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (pow n (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 111.621 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 111.621 * * [simplify]: iters left: 6 (13 enodes) 111.625 * * [simplify]: iters left: 5 (53 enodes) 111.633 * * [simplify]: iters left: 4 (85 enodes) 111.658 * * [simplify]: iters left: 3 (149 enodes) 111.706 * * [simplify]: iters left: 2 (300 enodes) 111.788 * * [simplify]: Extracting #0: cost 1 inf + 0 111.788 * * [simplify]: Extracting #1: cost 6 inf + 0 111.788 * * [simplify]: Extracting #2: cost 27 inf + 0 111.788 * * [simplify]: Extracting #3: cost 93 inf + 43 111.789 * * [simplify]: Extracting #4: cost 144 inf + 623 111.793 * * [simplify]: Extracting #5: cost 111 inf + 8357 111.802 * * [simplify]: Extracting #6: cost 56 inf + 32115 111.819 * * [simplify]: Extracting #7: cost 4 inf + 71706 111.837 * * [simplify]: Extracting #8: cost 0 inf + 73074 111.848 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 111.848 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 111.848 * * * * [progress]: [ 178 / 217 ] simplifiying candidate # 111.848 * [simplify]: Simplifying (/ 1 (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) 111.848 * * [simplify]: iters left: 6 (17 enodes) 111.853 * * [simplify]: iters left: 5 (68 enodes) 111.864 * * [simplify]: iters left: 4 (108 enodes) 111.887 * * [simplify]: iters left: 3 (177 enodes) 111.934 * * [simplify]: iters left: 2 (331 enodes) 112.018 * * [simplify]: Extracting #0: cost 1 inf + 0 112.018 * * [simplify]: Extracting #1: cost 6 inf + 0 112.018 * * [simplify]: Extracting #2: cost 24 inf + 1 112.018 * * [simplify]: Extracting #3: cost 82 inf + 2 112.018 * * [simplify]: Extracting #4: cost 108 inf + 7 112.019 * * [simplify]: Extracting #5: cost 122 inf + 10 112.019 * * [simplify]: Extracting #6: cost 158 inf + 216 112.021 * * [simplify]: Extracting #7: cost 126 inf + 6926 112.024 * * [simplify]: Extracting #8: cost 66 inf + 26504 112.041 * * [simplify]: Extracting #9: cost 13 inf + 68740 112.064 * * [simplify]: Extracting #10: cost 1 inf + 80502 112.088 * * [simplify]: Extracting #11: cost 0 inf + 81530 112.103 * [simplify]: Simplified to (/ 1 (pow (* (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2))) 112.103 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (* (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 112.103 * [simplify]: Simplifying (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 112.103 * * [simplify]: iters left: 6 (16 enodes) 112.110 * * [simplify]: iters left: 5 (65 enodes) 112.127 * * [simplify]: iters left: 4 (105 enodes) 112.145 * * [simplify]: iters left: 3 (175 enodes) 112.193 * * [simplify]: iters left: 2 (329 enodes) 112.276 * * [simplify]: Extracting #0: cost 1 inf + 0 112.277 * * [simplify]: Extracting #1: cost 6 inf + 0 112.277 * * [simplify]: Extracting #2: cost 27 inf + 0 112.277 * * [simplify]: Extracting #3: cost 81 inf + 84 112.278 * * [simplify]: Extracting #4: cost 114 inf + 172 112.280 * * [simplify]: Extracting #5: cost 116 inf + 5000 112.284 * * [simplify]: Extracting #6: cost 108 inf + 8546 112.291 * * [simplify]: Extracting #7: cost 74 inf + 18251 112.308 * * [simplify]: Extracting #8: cost 22 inf + 56327 112.320 * * [simplify]: Extracting #9: cost 0 inf + 78905 112.330 * * [simplify]: Extracting #10: cost 0 inf + 78733 112.340 * [simplify]: Simplified to (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 112.340 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 112.340 * * * * [progress]: [ 179 / 217 ] simplifiying candidate # 112.341 * [simplify]: Simplifying (/ 1 (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 112.341 * * [simplify]: iters left: 6 (16 enodes) 112.350 * * [simplify]: iters left: 5 (65 enodes) 112.372 * * [simplify]: iters left: 4 (106 enodes) 112.404 * * [simplify]: iters left: 3 (175 enodes) 112.457 * * [simplify]: iters left: 2 (326 enodes) 112.551 * * [simplify]: Extracting #0: cost 1 inf + 0 112.551 * * [simplify]: Extracting #1: cost 6 inf + 0 112.551 * * [simplify]: Extracting #2: cost 24 inf + 1 112.552 * * [simplify]: Extracting #3: cost 84 inf + 2 112.552 * * [simplify]: Extracting #4: cost 121 inf + 7 112.552 * * [simplify]: Extracting #5: cost 166 inf + 10 112.553 * * [simplify]: Extracting #6: cost 170 inf + 631 112.555 * * [simplify]: Extracting #7: cost 111 inf + 12079 112.561 * * [simplify]: Extracting #8: cost 39 inf + 45258 112.571 * * [simplify]: Extracting #9: cost 3 inf + 75766 112.592 * * [simplify]: Extracting #10: cost 0 inf + 77895 112.611 * * [simplify]: Extracting #11: cost 0 inf + 77856 112.622 * [simplify]: Simplified to (/ 1 (pow (sqrt (pow (* PI (* 2 n)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 112.622 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (sqrt (pow (* PI (* 2 n)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 112.623 * [simplify]: Simplifying (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 112.623 * * [simplify]: iters left: 6 (16 enodes) 112.627 * * [simplify]: iters left: 5 (65 enodes) 112.639 * * [simplify]: iters left: 4 (106 enodes) 112.678 * * [simplify]: iters left: 3 (175 enodes) 112.715 * * [simplify]: iters left: 2 (326 enodes) 112.815 * * [simplify]: Extracting #0: cost 1 inf + 0 112.815 * * [simplify]: Extracting #1: cost 6 inf + 0 112.816 * * [simplify]: Extracting #2: cost 27 inf + 0 112.816 * * [simplify]: Extracting #3: cost 84 inf + 84 112.817 * * [simplify]: Extracting #4: cost 116 inf + 418 112.820 * * [simplify]: Extracting #5: cost 124 inf + 4923 112.824 * * [simplify]: Extracting #6: cost 104 inf + 9460 112.833 * * [simplify]: Extracting #7: cost 57 inf + 27327 112.843 * * [simplify]: Extracting #8: cost 11 inf + 68322 112.853 * * [simplify]: Extracting #9: cost 1 inf + 78093 112.868 * * [simplify]: Extracting #10: cost 0 inf + 79130 112.890 * [simplify]: Simplified to (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 112.890 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 112.890 * * * * [progress]: [ 180 / 217 ] simplifiying candidate # 112.891 * [simplify]: Simplifying (/ 1 (pow 1 (/ (- 1 (sqrt k)) 2))) 112.891 * * [simplify]: iters left: 6 (8 enodes) 112.898 * * [simplify]: iters left: 5 (30 enodes) 112.907 * * [simplify]: iters left: 4 (39 enodes) 112.918 * * [simplify]: Extracting #0: cost 1 inf + 0 112.918 * * [simplify]: Extracting #1: cost 0 inf + 1 112.918 * [simplify]: Simplified to 1 112.918 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 112.919 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 112.919 * * [simplify]: iters left: 6 (15 enodes) 112.927 * * [simplify]: iters left: 5 (62 enodes) 112.947 * * [simplify]: iters left: 4 (102 enodes) 112.981 * * [simplify]: iters left: 3 (171 enodes) 113.032 * * [simplify]: iters left: 2 (325 enodes) 113.120 * * [simplify]: Extracting #0: cost 1 inf + 0 113.120 * * [simplify]: Extracting #1: cost 6 inf + 0 113.120 * * [simplify]: Extracting #2: cost 27 inf + 0 113.121 * * [simplify]: Extracting #3: cost 92 inf + 43 113.122 * * [simplify]: Extracting #4: cost 150 inf + 254 113.124 * * [simplify]: Extracting #5: cost 126 inf + 5408 113.128 * * [simplify]: Extracting #6: cost 69 inf + 20183 113.134 * * [simplify]: Extracting #7: cost 20 inf + 55926 113.143 * * [simplify]: Extracting #8: cost 1 inf + 72863 113.153 * * [simplify]: Extracting #9: cost 0 inf + 73900 113.167 * * [simplify]: Extracting #10: cost 0 inf + 73769 113.186 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 113.186 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 113.187 * * * * [progress]: [ 181 / 217 ] simplifiying candidate # 113.187 * [simplify]: Simplifying (/ 1 (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 113.187 * * [simplify]: iters left: 6 (16 enodes) 113.197 * * [simplify]: iters left: 5 (67 enodes) 113.219 * * [simplify]: iters left: 4 (112 enodes) 113.260 * * [simplify]: iters left: 3 (185 enodes) 113.305 * * [simplify]: iters left: 2 (328 enodes) 113.408 * * [simplify]: Extracting #0: cost 1 inf + 0 113.408 * * [simplify]: Extracting #1: cost 6 inf + 0 113.408 * * [simplify]: Extracting #2: cost 25 inf + 1 113.408 * * [simplify]: Extracting #3: cost 87 inf + 2 113.408 * * [simplify]: Extracting #4: cost 151 inf + 7 113.409 * * [simplify]: Extracting #5: cost 172 inf + 179 113.410 * * [simplify]: Extracting #6: cost 157 inf + 1715 113.412 * * [simplify]: Extracting #7: cost 102 inf + 9394 113.416 * * [simplify]: Extracting #8: cost 69 inf + 22209 113.423 * * [simplify]: Extracting #9: cost 19 inf + 62823 113.442 * * [simplify]: Extracting #10: cost 0 inf + 80253 113.468 * [simplify]: Simplified to (/ 1 (pow (pow (* (* PI n) 2) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 113.468 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (pow (* (* PI n) 2) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 113.469 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 113.469 * * [simplify]: iters left: 6 (16 enodes) 113.478 * * [simplify]: iters left: 5 (67 enodes) 113.500 * * [simplify]: iters left: 4 (112 enodes) 113.537 * * [simplify]: iters left: 3 (185 enodes) 113.598 * * [simplify]: iters left: 2 (328 enodes) 113.690 * * [simplify]: Extracting #0: cost 1 inf + 0 113.690 * * [simplify]: Extracting #1: cost 6 inf + 0 113.690 * * [simplify]: Extracting #2: cost 28 inf + 0 113.690 * * [simplify]: Extracting #3: cost 89 inf + 43 113.691 * * [simplify]: Extracting #4: cost 147 inf + 418 113.694 * * [simplify]: Extracting #5: cost 123 inf + 6812 113.706 * * [simplify]: Extracting #6: cost 61 inf + 30210 113.723 * * [simplify]: Extracting #7: cost 16 inf + 66368 113.746 * * [simplify]: Extracting #8: cost 0 inf + 83201 113.762 * * [simplify]: Extracting #9: cost 0 inf + 80290 113.773 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* n (* 2 PI)) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 113.773 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 113.773 * * * * [progress]: [ 182 / 217 ] simplifiying candidate # 113.774 * [simplify]: Simplifying (/ 1 (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 113.774 * * [simplify]: iters left: 6 (17 enodes) 113.779 * * [simplify]: iters left: 5 (70 enodes) 113.801 * * [simplify]: iters left: 4 (110 enodes) 113.822 * * [simplify]: iters left: 3 (175 enodes) 113.876 * * [simplify]: iters left: 2 (323 enodes) 113.961 * * [simplify]: Extracting #0: cost 1 inf + 0 113.961 * * [simplify]: Extracting #1: cost 6 inf + 0 113.961 * * [simplify]: Extracting #2: cost 9 inf + 1 113.961 * * [simplify]: Extracting #3: cost 22 inf + 1 113.961 * * [simplify]: Extracting #4: cost 76 inf + 2 113.962 * * [simplify]: Extracting #5: cost 150 inf + 6 113.962 * * [simplify]: Extracting #6: cost 169 inf + 262 113.963 * * [simplify]: Extracting #7: cost 146 inf + 2698 113.966 * * [simplify]: Extracting #8: cost 79 inf + 17105 113.973 * * [simplify]: Extracting #9: cost 20 inf + 57136 113.984 * * [simplify]: Extracting #10: cost 1 inf + 71953 114.003 * * [simplify]: Extracting #11: cost 0 inf + 72357 114.021 * * [simplify]: Extracting #12: cost 0 inf + 72186 114.040 * [simplify]: Simplified to (/ 1 (* (cbrt (pow (pow (* (* PI n) 2) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI n) 2) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 114.040 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (pow (* (* PI n) 2) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI n) 2) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 114.040 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 114.041 * * [simplify]: iters left: 6 (16 enodes) 114.054 * * [simplify]: iters left: 5 (65 enodes) 114.069 * * [simplify]: iters left: 4 (103 enodes) 114.087 * * [simplify]: iters left: 3 (169 enodes) 114.122 * * [simplify]: iters left: 2 (314 enodes) 114.237 * * [simplify]: Extracting #0: cost 1 inf + 0 114.238 * * [simplify]: Extracting #1: cost 4 inf + 0 114.238 * * [simplify]: Extracting #2: cost 8 inf + 0 114.238 * * [simplify]: Extracting #3: cost 19 inf + 1 114.238 * * [simplify]: Extracting #4: cost 71 inf + 84 114.238 * * [simplify]: Extracting #5: cost 138 inf + 171 114.239 * * [simplify]: Extracting #6: cost 115 inf + 6830 114.244 * * [simplify]: Extracting #7: cost 40 inf + 36992 114.252 * * [simplify]: Extracting #8: cost 3 inf + 64618 114.264 * * [simplify]: Extracting #9: cost 0 inf + 66897 114.280 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 114.280 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))))) 114.280 * * * * [progress]: [ 183 / 217 ] simplifiying candidate # 114.280 * [simplify]: Simplifying (/ 1 (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 114.281 * * [simplify]: iters left: 6 (16 enodes) 114.289 * * [simplify]: iters left: 5 (65 enodes) 114.307 * * [simplify]: iters left: 4 (104 enodes) 114.323 * * [simplify]: iters left: 3 (169 enodes) 114.377 * * [simplify]: iters left: 2 (314 enodes) 114.471 * * [simplify]: Extracting #0: cost 1 inf + 0 114.471 * * [simplify]: Extracting #1: cost 4 inf + 0 114.471 * * [simplify]: Extracting #2: cost 6 inf + 1 114.471 * * [simplify]: Extracting #3: cost 22 inf + 1 114.471 * * [simplify]: Extracting #4: cost 84 inf + 2 114.472 * * [simplify]: Extracting #5: cost 145 inf + 7 114.473 * * [simplify]: Extracting #6: cost 164 inf + 137 114.474 * * [simplify]: Extracting #7: cost 154 inf + 1087 114.478 * * [simplify]: Extracting #8: cost 83 inf + 14820 114.493 * * [simplify]: Extracting #9: cost 24 inf + 48665 114.510 * * [simplify]: Extracting #10: cost 0 inf + 68569 114.527 * * [simplify]: Extracting #11: cost 0 inf + 68397 114.536 * [simplify]: Simplified to (/ 1 (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 114.536 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 114.536 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 114.536 * * [simplify]: iters left: 6 (16 enodes) 114.541 * * [simplify]: iters left: 5 (65 enodes) 114.551 * * [simplify]: iters left: 4 (104 enodes) 114.583 * * [simplify]: iters left: 3 (169 enodes) 114.645 * * [simplify]: iters left: 2 (314 enodes) 114.711 * * [simplify]: Extracting #0: cost 1 inf + 0 114.711 * * [simplify]: Extracting #1: cost 4 inf + 0 114.711 * * [simplify]: Extracting #2: cost 9 inf + 0 114.712 * * [simplify]: Extracting #3: cost 24 inf + 1 114.712 * * [simplify]: Extracting #4: cost 85 inf + 84 114.712 * * [simplify]: Extracting #5: cost 139 inf + 377 114.713 * * [simplify]: Extracting #6: cost 119 inf + 5665 114.717 * * [simplify]: Extracting #7: cost 51 inf + 28365 114.724 * * [simplify]: Extracting #8: cost 15 inf + 53717 114.738 * * [simplify]: Extracting #9: cost 0 inf + 68234 114.756 * * [simplify]: Extracting #10: cost 0 inf + 68193 114.768 * * [simplify]: Extracting #11: cost 0 inf + 68152 114.777 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 114.777 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))))) 114.777 * * * * [progress]: [ 184 / 217 ] simplifiying candidate # 114.777 * [simplify]: Simplifying (/ 1 1) 114.777 * * [simplify]: iters left: 2 (2 enodes) 114.779 * * [simplify]: iters left: 1 (6 enodes) 114.780 * * [simplify]: Extracting #0: cost 1 inf + 0 114.780 * * [simplify]: Extracting #1: cost 0 inf + 1 114.780 * [simplify]: Simplified to 1 114.780 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 114.780 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 114.780 * * [simplify]: iters left: 6 (15 enodes) 114.785 * * [simplify]: iters left: 5 (62 enodes) 114.796 * * [simplify]: iters left: 4 (102 enodes) 114.826 * * [simplify]: iters left: 3 (171 enodes) 114.859 * * [simplify]: iters left: 2 (325 enodes) 114.989 * * [simplify]: Extracting #0: cost 1 inf + 0 114.989 * * [simplify]: Extracting #1: cost 6 inf + 0 114.989 * * [simplify]: Extracting #2: cost 27 inf + 0 114.989 * * [simplify]: Extracting #3: cost 92 inf + 43 114.990 * * [simplify]: Extracting #4: cost 150 inf + 254 114.993 * * [simplify]: Extracting #5: cost 126 inf + 5408 114.998 * * [simplify]: Extracting #6: cost 69 inf + 20183 115.005 * * [simplify]: Extracting #7: cost 20 inf + 55926 115.014 * * [simplify]: Extracting #8: cost 1 inf + 72863 115.024 * * [simplify]: Extracting #9: cost 0 inf + 73900 115.044 * * [simplify]: Extracting #10: cost 0 inf + 73769 115.063 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 115.063 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 115.063 * * * * [progress]: [ 185 / 217 ] simplifiying candidate # 115.064 * [simplify]: Simplifying (/ 1 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 115.064 * * [simplify]: iters left: 6 (16 enodes) 115.073 * * [simplify]: iters left: 5 (68 enodes) 115.091 * * [simplify]: iters left: 4 (112 enodes) 115.109 * * [simplify]: iters left: 3 (188 enodes) 115.162 * * [simplify]: iters left: 2 (357 enodes) 115.259 * * [simplify]: Extracting #0: cost 1 inf + 0 115.259 * * [simplify]: Extracting #1: cost 6 inf + 0 115.259 * * [simplify]: Extracting #2: cost 24 inf + 1 115.260 * * [simplify]: Extracting #3: cost 98 inf + 2 115.260 * * [simplify]: Extracting #4: cost 166 inf + 9 115.261 * * [simplify]: Extracting #5: cost 187 inf + 181 115.262 * * [simplify]: Extracting #6: cost 147 inf + 7994 115.266 * * [simplify]: Extracting #7: cost 62 inf + 30369 115.283 * * [simplify]: Extracting #8: cost 7 inf + 69439 115.300 * * [simplify]: Extracting #9: cost 0 inf + 74890 115.310 * [simplify]: Simplified to (/ 1 (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4))) 115.310 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)))))) 115.310 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 115.310 * * [simplify]: iters left: 6 (16 enodes) 115.315 * * [simplify]: iters left: 5 (68 enodes) 115.326 * * [simplify]: iters left: 4 (112 enodes) 115.366 * * [simplify]: iters left: 3 (188 enodes) 115.435 * * [simplify]: iters left: 2 (356 enodes) 115.534 * * [simplify]: Extracting #0: cost 1 inf + 0 115.534 * * [simplify]: Extracting #1: cost 6 inf + 0 115.534 * * [simplify]: Extracting #2: cost 28 inf + 0 115.535 * * [simplify]: Extracting #3: cost 101 inf + 43 115.535 * * [simplify]: Extracting #4: cost 163 inf + 338 115.537 * * [simplify]: Extracting #5: cost 132 inf + 6947 115.541 * * [simplify]: Extracting #6: cost 64 inf + 27001 115.549 * * [simplify]: Extracting #7: cost 13 inf + 64461 115.567 * * [simplify]: Extracting #8: cost 0 inf + 76653 115.592 * * [simplify]: Extracting #9: cost 0 inf + 76523 115.613 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4))) 115.613 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)))))) 115.614 * * * * [progress]: [ 186 / 217 ] simplifiying candidate # 115.614 * * * * [progress]: [ 187 / 217 ] simplifiying candidate # 115.614 * * * * [progress]: [ 188 / 217 ] simplifiying candidate # 115.614 * * * * [progress]: [ 189 / 217 ] simplifiying candidate # 115.615 * [simplify]: Simplifying (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 115.615 * * [simplify]: iters left: 6 (12 enodes) 115.622 * * [simplify]: iters left: 5 (50 enodes) 115.632 * * [simplify]: iters left: 4 (80 enodes) 115.646 * * [simplify]: iters left: 3 (137 enodes) 115.683 * * [simplify]: iters left: 2 (280 enodes) 115.775 * * [simplify]: Extracting #0: cost 1 inf + 0 115.775 * * [simplify]: Extracting #1: cost 14 inf + 0 115.775 * * [simplify]: Extracting #2: cost 67 inf + 1 115.776 * * [simplify]: Extracting #3: cost 138 inf + 5 115.776 * * [simplify]: Extracting #4: cost 157 inf + 53 115.777 * * [simplify]: Extracting #5: cost 148 inf + 1304 115.779 * * [simplify]: Extracting #6: cost 78 inf + 15222 115.785 * * [simplify]: Extracting #7: cost 13 inf + 53018 115.794 * * [simplify]: Extracting #8: cost 0 inf + 64826 115.814 * [simplify]: Simplified to (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 115.815 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 115.815 * * * * [progress]: [ 190 / 217 ] simplifiying candidate # 115.815 * [simplify]: Simplifying (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 115.815 * * [simplify]: iters left: 6 (15 enodes) 115.820 * * [simplify]: iters left: 5 (62 enodes) 115.831 * * [simplify]: iters left: 4 (100 enodes) 115.847 * * [simplify]: iters left: 3 (166 enodes) 115.905 * * [simplify]: iters left: 2 (311 enodes) 115.995 * * [simplify]: Extracting #0: cost 1 inf + 0 115.996 * * [simplify]: Extracting #1: cost 14 inf + 0 115.996 * * [simplify]: Extracting #2: cost 56 inf + 1 115.996 * * [simplify]: Extracting #3: cost 98 inf + 6 115.997 * * [simplify]: Extracting #4: cost 140 inf + 10 115.998 * * [simplify]: Extracting #5: cost 156 inf + 138 115.999 * * [simplify]: Extracting #6: cost 149 inf + 636 116.004 * * [simplify]: Extracting #7: cost 83 inf + 16002 116.016 * * [simplify]: Extracting #8: cost 13 inf + 53165 116.038 * * [simplify]: Extracting #9: cost 0 inf + 64960 116.055 * * [simplify]: Extracting #10: cost 0 inf + 64830 116.072 * [simplify]: Simplified to (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 116.072 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 116.073 * * * * [progress]: [ 191 / 217 ] simplifiying candidate # 116.073 * [simplify]: Simplifying (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 116.073 * * [simplify]: iters left: 6 (15 enodes) 116.082 * * [simplify]: iters left: 5 (62 enodes) 116.103 * * [simplify]: iters left: 4 (101 enodes) 116.137 * * [simplify]: iters left: 3 (167 enodes) 116.200 * * [simplify]: iters left: 2 (315 enodes) 116.294 * * [simplify]: Extracting #0: cost 1 inf + 0 116.294 * * [simplify]: Extracting #1: cost 14 inf + 0 116.294 * * [simplify]: Extracting #2: cost 59 inf + 1 116.295 * * [simplify]: Extracting #3: cost 106 inf + 6 116.296 * * [simplify]: Extracting #4: cost 152 inf + 10 116.297 * * [simplify]: Extracting #5: cost 158 inf + 359 116.303 * * [simplify]: Extracting #6: cost 72 inf + 25399 116.317 * * [simplify]: Extracting #7: cost 5 inf + 61902 116.326 * * [simplify]: Extracting #8: cost 0 inf + 64859 116.335 * [simplify]: Simplified to (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 116.335 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 116.335 * * * * [progress]: [ 192 / 217 ] simplifiying candidate # 116.335 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 116.335 * * [simplify]: iters left: 6 (14 enodes) 116.339 * * [simplify]: iters left: 5 (59 enodes) 116.349 * * [simplify]: iters left: 4 (97 enodes) 116.379 * * [simplify]: iters left: 3 (163 enodes) 116.412 * * [simplify]: iters left: 2 (311 enodes) 116.497 * * [simplify]: Extracting #0: cost 1 inf + 0 116.497 * * [simplify]: Extracting #1: cost 14 inf + 0 116.497 * * [simplify]: Extracting #2: cost 66 inf + 1 116.498 * * [simplify]: Extracting #3: cost 136 inf + 6 116.498 * * [simplify]: Extracting #4: cost 156 inf + 179 116.499 * * [simplify]: Extracting #5: cost 149 inf + 789 116.501 * * [simplify]: Extracting #6: cost 90 inf + 10500 116.507 * * [simplify]: Extracting #7: cost 14 inf + 48622 116.515 * * [simplify]: Extracting #8: cost 0 inf + 61630 116.530 * * [simplify]: Extracting #9: cost 0 inf + 61392 116.548 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 116.548 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow 1 (/ (- 1 (sqrt k)) 2))) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 116.548 * * * * [progress]: [ 193 / 217 ] simplifiying candidate # 116.549 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) 116.549 * * [simplify]: iters left: 6 (15 enodes) 116.558 * * [simplify]: iters left: 5 (64 enodes) 116.577 * * [simplify]: iters left: 4 (107 enodes) 116.594 * * [simplify]: iters left: 3 (172 enodes) 116.648 * * [simplify]: iters left: 2 (308 enodes) 116.748 * * [simplify]: Extracting #0: cost 1 inf + 0 116.748 * * [simplify]: Extracting #1: cost 13 inf + 0 116.749 * * [simplify]: Extracting #2: cost 65 inf + 1 116.749 * * [simplify]: Extracting #3: cost 139 inf + 5 116.750 * * [simplify]: Extracting #4: cost 163 inf + 137 116.752 * * [simplify]: Extracting #5: cost 156 inf + 677 116.756 * * [simplify]: Extracting #6: cost 90 inf + 10197 116.766 * * [simplify]: Extracting #7: cost 37 inf + 36450 116.784 * * [simplify]: Extracting #8: cost 1 inf + 71295 116.794 * * [simplify]: Extracting #9: cost 0 inf + 71579 116.804 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 116.805 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 116.805 * * * * [progress]: [ 194 / 217 ] simplifiying candidate # 116.805 * [simplify]: Simplifying (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 116.805 * * [simplify]: iters left: 6 (15 enodes) 116.809 * * [simplify]: iters left: 5 (62 enodes) 116.827 * * [simplify]: iters left: 4 (100 enodes) 116.857 * * [simplify]: iters left: 3 (166 enodes) 116.889 * * [simplify]: iters left: 2 (314 enodes) 116.986 * * [simplify]: Extracting #0: cost 1 inf + 0 116.986 * * [simplify]: Extracting #1: cost 3 inf + 0 116.986 * * [simplify]: Extracting #2: cost 16 inf + 0 116.986 * * [simplify]: Extracting #3: cost 68 inf + 1 116.987 * * [simplify]: Extracting #4: cost 136 inf + 6 116.988 * * [simplify]: Extracting #5: cost 158 inf + 137 116.989 * * [simplify]: Extracting #6: cost 152 inf + 513 116.993 * * [simplify]: Extracting #7: cost 87 inf + 13208 117.005 * * [simplify]: Extracting #8: cost 17 inf + 46666 117.021 * * [simplify]: Extracting #9: cost 3 inf + 56988 117.039 * * [simplify]: Extracting #10: cost 0 inf + 59981 117.056 * [simplify]: Simplified to (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 117.056 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 117.057 * * * * [progress]: [ 195 / 217 ] simplifiying candidate # 117.057 * [simplify]: Simplifying (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 117.057 * * [simplify]: iters left: 6 (15 enodes) 117.069 * * [simplify]: iters left: 5 (62 enodes) 117.090 * * [simplify]: iters left: 4 (101 enodes) 117.123 * * [simplify]: iters left: 3 (167 enodes) 117.182 * * [simplify]: iters left: 2 (315 enodes) 117.255 * * [simplify]: Extracting #0: cost 1 inf + 0 117.255 * * [simplify]: Extracting #1: cost 4 inf + 0 117.255 * * [simplify]: Extracting #2: cost 21 inf + 0 117.256 * * [simplify]: Extracting #3: cost 83 inf + 1 117.256 * * [simplify]: Extracting #4: cost 141 inf + 7 117.257 * * [simplify]: Extracting #5: cost 159 inf + 138 117.257 * * [simplify]: Extracting #6: cost 154 inf + 473 117.259 * * [simplify]: Extracting #7: cost 88 inf + 16025 117.270 * * [simplify]: Extracting #8: cost 10 inf + 56864 117.289 * * [simplify]: Extracting #9: cost 0 inf + 61769 117.311 * [simplify]: Simplified to (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))) 117.311 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))))))) 117.311 * * * * [progress]: [ 196 / 217 ] simplifiying candidate # 117.311 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 117.312 * * [simplify]: iters left: 6 (14 enodes) 117.319 * * [simplify]: iters left: 5 (59 enodes) 117.339 * * [simplify]: iters left: 4 (97 enodes) 117.361 * * [simplify]: iters left: 3 (163 enodes) 117.392 * * [simplify]: iters left: 2 (311 enodes) 117.487 * * [simplify]: Extracting #0: cost 1 inf + 0 117.487 * * [simplify]: Extracting #1: cost 14 inf + 0 117.487 * * [simplify]: Extracting #2: cost 66 inf + 1 117.488 * * [simplify]: Extracting #3: cost 136 inf + 6 117.489 * * [simplify]: Extracting #4: cost 156 inf + 179 117.490 * * [simplify]: Extracting #5: cost 149 inf + 789 117.494 * * [simplify]: Extracting #6: cost 90 inf + 10500 117.505 * * [simplify]: Extracting #7: cost 14 inf + 48622 117.520 * * [simplify]: Extracting #8: cost 0 inf + 61630 117.529 * * [simplify]: Extracting #9: cost 0 inf + 61392 117.537 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 117.537 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 117.538 * * * * [progress]: [ 197 / 217 ] simplifiying candidate # 117.538 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) 117.538 * * [simplify]: iters left: 6 (15 enodes) 117.543 * * [simplify]: iters left: 5 (65 enodes) 117.562 * * [simplify]: iters left: 4 (107 enodes) 117.598 * * [simplify]: iters left: 3 (179 enodes) 117.645 * * [simplify]: iters left: 2 (343 enodes) 117.751 * * [simplify]: Extracting #0: cost 1 inf + 0 117.751 * * [simplify]: Extracting #1: cost 13 inf + 0 117.751 * * [simplify]: Extracting #2: cost 73 inf + 1 117.752 * * [simplify]: Extracting #3: cost 153 inf + 7 117.753 * * [simplify]: Extracting #4: cost 178 inf + 139 117.756 * * [simplify]: Extracting #5: cost 142 inf + 5535 117.763 * * [simplify]: Extracting #6: cost 62 inf + 23760 117.776 * * [simplify]: Extracting #7: cost 6 inf + 62094 117.785 * * [simplify]: Extracting #8: cost 0 inf + 66653 117.794 * * [simplify]: Extracting #9: cost 0 inf + 66523 117.804 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) 117.804 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4))))) 117.805 * * * * [progress]: [ 198 / 217 ] simplifiying candidate # 117.805 * [simplify]: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 117.805 * * [simplify]: iters left: 4 (4 enodes) 117.806 * * [simplify]: iters left: 3 (12 enodes) 117.807 * * [simplify]: Extracting #0: cost 1 inf + 0 117.807 * * [simplify]: Extracting #1: cost 3 inf + 0 117.807 * * [simplify]: Extracting #2: cost 5 inf + 0 117.807 * * [simplify]: Extracting #3: cost 7 inf + 0 117.807 * * [simplify]: Extracting #4: cost 6 inf + 1 117.808 * * [simplify]: Extracting #5: cost 0 inf + 647 117.808 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 117.808 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k)))))) 117.808 * * * * [progress]: [ 199 / 217 ] simplifiying candidate # 117.808 * [simplify]: Simplifying (sqrt (* (cbrt k) (cbrt k))) 117.808 * * [simplify]: iters left: 4 (4 enodes) 117.809 * * [simplify]: iters left: 3 (13 enodes) 117.811 * * [simplify]: Extracting #0: cost 1 inf + 0 117.811 * * [simplify]: Extracting #1: cost 4 inf + 0 117.811 * * [simplify]: Extracting #2: cost 7 inf + 0 117.811 * * [simplify]: Extracting #3: cost 6 inf + 1 117.811 * * [simplify]: Extracting #4: cost 0 inf + 647 117.811 * [simplify]: Simplified to (fabs (cbrt k)) 117.811 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (fabs (cbrt k)) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k)))))) 117.811 * * * * [progress]: [ 200 / 217 ] simplifiying candidate # 117.811 * [simplify]: Simplifying (sqrt (sqrt k)) 117.811 * * [simplify]: iters left: 2 (3 enodes) 117.812 * * [simplify]: iters left: 1 (9 enodes) 117.813 * * [simplify]: Extracting #0: cost 1 inf + 0 117.813 * * [simplify]: Extracting #1: cost 3 inf + 0 117.813 * * [simplify]: Extracting #2: cost 5 inf + 0 117.813 * * [simplify]: Extracting #3: cost 4 inf + 1 117.813 * * [simplify]: Extracting #4: cost 0 inf + 245 117.813 * [simplify]: Simplified to (sqrt (sqrt k)) 117.813 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k)))))) 117.813 * * * * [progress]: [ 201 / 217 ] simplifiying candidate # 117.813 * [simplify]: Simplifying (sqrt 1) 117.814 * * [simplify]: iters left: 1 (2 enodes) 117.815 * * [simplify]: Extracting #0: cost 1 inf + 0 117.816 * * [simplify]: Extracting #1: cost 0 inf + 1 117.816 * [simplify]: Simplified to 1 117.816 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ 1 (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))))) 117.816 * * * * [progress]: [ 202 / 217 ] simplifiying candidate # 117.816 * [simplify]: Simplifying (sqrt (sqrt k)) 117.816 * * [simplify]: iters left: 2 (3 enodes) 117.817 * * [simplify]: iters left: 1 (9 enodes) 117.819 * * [simplify]: Extracting #0: cost 1 inf + 0 117.819 * * [simplify]: Extracting #1: cost 3 inf + 0 117.819 * * [simplify]: Extracting #2: cost 5 inf + 0 117.819 * * [simplify]: Extracting #3: cost 4 inf + 1 117.819 * * [simplify]: Extracting #4: cost 0 inf + 245 117.819 * [simplify]: Simplified to (sqrt (sqrt k)) 117.819 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k)))))) 117.820 * * * * [progress]: [ 203 / 217 ] simplifiying candidate # 117.820 * * * * [progress]: [ 204 / 217 ] simplifiying candidate # 117.820 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt k) 2)) 117.820 * * [simplify]: iters left: 6 (13 enodes) 117.827 * * [simplify]: iters left: 5 (50 enodes) 117.847 * * [simplify]: iters left: 4 (81 enodes) 117.863 * * [simplify]: iters left: 3 (136 enodes) 117.891 * * [simplify]: iters left: 2 (257 enodes) 117.964 * * [simplify]: Extracting #0: cost 1 inf + 0 117.964 * * [simplify]: Extracting #1: cost 13 inf + 0 117.964 * * [simplify]: Extracting #2: cost 63 inf + 1 117.965 * * [simplify]: Extracting #3: cost 125 inf + 5 117.966 * * [simplify]: Extracting #4: cost 133 inf + 548 117.969 * * [simplify]: Extracting #5: cost 81 inf + 9336 117.977 * * [simplify]: Extracting #6: cost 27 inf + 36849 117.991 * * [simplify]: Extracting #7: cost 0 inf + 60464 118.006 * * [simplify]: Extracting #8: cost 0 inf + 60204 118.022 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (sqrt k) 2)) 118.022 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 2))) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (sqrt k) 2))))) 118.023 * * * * [progress]: [ 205 / 217 ] simplifiying candidate #real (real->posit16 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))))> 118.023 * * * * [progress]: [ 206 / 217 ] simplifiying candidate # 118.023 * [simplify]: Simplifying (- (exp (+ (log n) (log (* 2 PI)))) (+ (* +nan.0 (* k (* (exp (+ (log n) (log (* 2 PI)))) (log (* 2 PI))))) (- (+ (* +nan.0 (* k (* (log n) (exp (+ (log n) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (log n) (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2))))) (- (+ (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (pow (log n) 2) (pow k 2))))))))))))))))) 118.023 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow +nan.0 (/ (- 1 (sqrt k)) 2))))) 118.024 * * * * [progress]: [ 207 / 217 ] simplifiying candidate # 118.024 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 118.024 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow +nan.0 (/ (- 1 (sqrt k)) 2))))) 118.025 * * * * [progress]: [ 208 / 217 ] simplifiying candidate # 118.025 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 118.025 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow +nan.0 (/ (- 1 (sqrt k)) 2))))) 118.026 * * * * [progress]: [ 209 / 217 ] simplifiying candidate # 118.027 * [simplify]: Simplifying (- (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* +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 (* (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 (* (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)))))))))))))))) 118.027 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) +nan.0))) 118.027 * * * * [progress]: [ 210 / 217 ] simplifiying candidate # 118.028 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 118.028 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) +nan.0))) 118.029 * * * * [progress]: [ 211 / 217 ] simplifiying candidate # 118.029 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 118.029 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) +nan.0))) 118.030 * * * * [progress]: [ 212 / 217 ] simplifiying candidate # 118.030 * [simplify]: Simplifying (* 2 (* n PI)) 118.030 * * [simplify]: iters left: 4 (5 enodes) 118.033 * * [simplify]: iters left: 3 (19 enodes) 118.039 * * [simplify]: iters left: 2 (27 enodes) 118.048 * * [simplify]: iters left: 1 (32 enodes) 118.056 * * [simplify]: Extracting #0: cost 1 inf + 0 118.056 * * [simplify]: Extracting #1: cost 8 inf + 0 118.056 * * [simplify]: Extracting #2: cost 7 inf + 45 118.056 * * [simplify]: Extracting #3: cost 0 inf + 421 118.056 * [simplify]: Simplified to (* (* PI n) 2) 118.057 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 118.057 * * * * [progress]: [ 213 / 217 ] simplifiying candidate # 118.057 * [simplify]: Simplifying (* 2 (* n PI)) 118.057 * * [simplify]: iters left: 4 (5 enodes) 118.060 * * [simplify]: iters left: 3 (19 enodes) 118.066 * * [simplify]: iters left: 2 (27 enodes) 118.079 * * [simplify]: iters left: 1 (32 enodes) 118.086 * * [simplify]: Extracting #0: cost 1 inf + 0 118.087 * * [simplify]: Extracting #1: cost 8 inf + 0 118.087 * * [simplify]: Extracting #2: cost 7 inf + 45 118.087 * * [simplify]: Extracting #3: cost 0 inf + 421 118.087 * [simplify]: Simplified to (* (* PI n) 2) 118.087 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 118.087 * * * * [progress]: [ 214 / 217 ] simplifiying candidate # 118.087 * [simplify]: Simplifying (* 2 (* n PI)) 118.087 * * [simplify]: iters left: 4 (5 enodes) 118.089 * * [simplify]: iters left: 3 (19 enodes) 118.092 * * [simplify]: iters left: 2 (27 enodes) 118.096 * * [simplify]: iters left: 1 (32 enodes) 118.100 * * [simplify]: Extracting #0: cost 1 inf + 0 118.100 * * [simplify]: Extracting #1: cost 8 inf + 0 118.100 * * [simplify]: Extracting #2: cost 7 inf + 45 118.100 * * [simplify]: Extracting #3: cost 0 inf + 421 118.100 * [simplify]: Simplified to (* (* PI n) 2) 118.100 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 118.101 * * * * [progress]: [ 215 / 217 ] simplifiying candidate # 118.101 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 118.101 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 118.101 * * * * [progress]: [ 216 / 217 ] simplifiying candidate # 118.101 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))) (- (+ (* +nan.0 (/ (log (/ 1 n)) (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 2)))) (- (+ (* +nan.0 (/ (* (log (/ 1 n)) (log (* 2 PI))) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))) (- (+ (* +nan.0 (/ (log (/ 1 n)) (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) k))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))) (- (+ (* +nan.0 (/ 1 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 2)))) (- (+ (* +nan.0 (/ (log (* 2 PI)) (* k (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))) (- (+ (* +nan.0 (/ 1 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) k))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (pow (log (/ 1 n)) 2) (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 2))))))))))))))))))))))) 118.101 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 118.102 * * * * [progress]: [ 217 / 217 ] simplifiying candidate # 118.102 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (log (* -2 PI)) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))))) (- (+ (* +nan.0 (/ (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow k 2)))) (- (+ (* +nan.0 (/ (pow (log (* -2 PI)) 2) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))))) (- (+ (* +nan.0 (/ (log (* -2 PI)) (* k (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))))) (- (+ (* +nan.0 (/ 1 (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) k))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (log (* -2 PI))) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))))) (- (+ (* +nan.0 (/ (pow (log (/ -1 n)) 2) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow k 2)))) (- (* +nan.0 (/ (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) k)))))))))))))))))))))) 118.102 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 118.103 * * * [progress]: adding candidates to table 121.150 * * [progress]: iteration 4 / 4 121.150 * * * [progress]: picking best candidate 121.184 * * * * [pick]: Picked # 121.184 * * * [progress]: localizing error 121.244 * * * [progress]: generating rewritten candidates 121.244 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 121.263 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 121.274 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 121.294 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 121.311 * * * [progress]: generating series expansions 121.311 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 121.313 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) into (pow (* 2 (* n PI)) (+ (sqrt k) 1)) 121.313 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in (n k) around 0 121.313 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 121.313 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 121.313 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 121.313 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 121.313 * [taylor]: Taking taylor expansion of (sqrt k) in k 121.313 * [taylor]: Taking taylor expansion of k in k 121.313 * [backup-simplify]: Simplify 0 into 0 121.313 * [backup-simplify]: Simplify 1 into 1 121.313 * [backup-simplify]: Simplify (sqrt 0) into 0 121.315 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 121.315 * [taylor]: Taking taylor expansion of 1 in k 121.315 * [backup-simplify]: Simplify 1 into 1 121.315 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 121.315 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 121.315 * [taylor]: Taking taylor expansion of 2 in k 121.315 * [backup-simplify]: Simplify 2 into 2 121.315 * [taylor]: Taking taylor expansion of (* n PI) in k 121.315 * [taylor]: Taking taylor expansion of n in k 121.315 * [backup-simplify]: Simplify n into n 121.315 * [taylor]: Taking taylor expansion of PI in k 121.315 * [backup-simplify]: Simplify PI into PI 121.315 * [backup-simplify]: Simplify (* n PI) into (* n PI) 121.315 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 121.315 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 121.316 * [backup-simplify]: Simplify (+ 0 1) into 1 121.316 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 121.316 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 121.316 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 121.316 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 121.316 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 121.316 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 121.316 * [taylor]: Taking taylor expansion of (sqrt k) in n 121.316 * [taylor]: Taking taylor expansion of k in n 121.316 * [backup-simplify]: Simplify k into k 121.316 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 121.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 121.316 * [taylor]: Taking taylor expansion of 1 in n 121.316 * [backup-simplify]: Simplify 1 into 1 121.316 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 121.316 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 121.316 * [taylor]: Taking taylor expansion of 2 in n 121.317 * [backup-simplify]: Simplify 2 into 2 121.317 * [taylor]: Taking taylor expansion of (* n PI) in n 121.317 * [taylor]: Taking taylor expansion of n in n 121.317 * [backup-simplify]: Simplify 0 into 0 121.317 * [backup-simplify]: Simplify 1 into 1 121.317 * [taylor]: Taking taylor expansion of PI in n 121.317 * [backup-simplify]: Simplify PI into PI 121.317 * [backup-simplify]: Simplify (* 0 PI) into 0 121.318 * [backup-simplify]: Simplify (* 2 0) into 0 121.319 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 121.320 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 121.321 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 121.321 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 121.323 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 121.324 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 121.325 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 121.325 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 121.325 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 121.325 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 121.325 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 121.326 * [taylor]: Taking taylor expansion of (sqrt k) in n 121.326 * [taylor]: Taking taylor expansion of k in n 121.326 * [backup-simplify]: Simplify k into k 121.326 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 121.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 121.326 * [taylor]: Taking taylor expansion of 1 in n 121.326 * [backup-simplify]: Simplify 1 into 1 121.326 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 121.326 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 121.326 * [taylor]: Taking taylor expansion of 2 in n 121.326 * [backup-simplify]: Simplify 2 into 2 121.326 * [taylor]: Taking taylor expansion of (* n PI) in n 121.326 * [taylor]: Taking taylor expansion of n in n 121.326 * [backup-simplify]: Simplify 0 into 0 121.326 * [backup-simplify]: Simplify 1 into 1 121.326 * [taylor]: Taking taylor expansion of PI in n 121.326 * [backup-simplify]: Simplify PI into PI 121.326 * [backup-simplify]: Simplify (* 0 PI) into 0 121.327 * [backup-simplify]: Simplify (* 2 0) into 0 121.328 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 121.330 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 121.331 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 121.331 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 121.332 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 121.333 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 121.334 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 121.334 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) in k 121.334 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) in k 121.334 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 121.334 * [taylor]: Taking taylor expansion of (sqrt k) in k 121.334 * [taylor]: Taking taylor expansion of k in k 121.334 * [backup-simplify]: Simplify 0 into 0 121.334 * [backup-simplify]: Simplify 1 into 1 121.335 * [backup-simplify]: Simplify (sqrt 0) into 0 121.336 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 121.336 * [taylor]: Taking taylor expansion of 1 in k 121.336 * [backup-simplify]: Simplify 1 into 1 121.336 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 121.336 * [taylor]: Taking taylor expansion of (log n) in k 121.336 * [taylor]: Taking taylor expansion of n in k 121.336 * [backup-simplify]: Simplify n into n 121.336 * [backup-simplify]: Simplify (log n) into (log n) 121.336 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 121.336 * [taylor]: Taking taylor expansion of (* 2 PI) in k 121.336 * [taylor]: Taking taylor expansion of 2 in k 121.336 * [backup-simplify]: Simplify 2 into 2 121.336 * [taylor]: Taking taylor expansion of PI in k 121.336 * [backup-simplify]: Simplify PI into PI 121.337 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 121.338 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 121.339 * [backup-simplify]: Simplify (+ 0 1) into 1 121.339 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 121.340 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 121.341 * [backup-simplify]: Simplify (exp (+ (log n) (log (* 2 PI)))) into (exp (+ (log n) (log (* 2 PI)))) 121.342 * [backup-simplify]: Simplify (exp (+ (log n) (log (* 2 PI)))) into (exp (+ (log n) (log (* 2 PI)))) 121.343 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 121.344 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 121.346 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 121.347 * [backup-simplify]: Simplify (+ 0 0) into 0 121.348 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 121.349 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 121.351 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 121.351 * [taylor]: Taking taylor expansion of 0 in k 121.351 * [backup-simplify]: Simplify 0 into 0 121.351 * [backup-simplify]: Simplify 0 into 0 121.352 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 121.353 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 121.355 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 121.355 * [backup-simplify]: Simplify (+ 0 0) into 0 121.356 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 121.357 * [backup-simplify]: Simplify (+ (* 1 0) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 121.360 * [backup-simplify]: Simplify (* (exp (+ (log n) (log (* 2 PI)))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI)))))) 121.364 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI)))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI))))) 121.365 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 121.366 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 121.367 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 121.368 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 121.368 * [backup-simplify]: Simplify (+ 0 0) into 0 121.369 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 121.370 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 121.371 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 121.371 * [taylor]: Taking taylor expansion of 0 in k 121.371 * [backup-simplify]: Simplify 0 into 0 121.371 * [backup-simplify]: Simplify 0 into 0 121.371 * [backup-simplify]: Simplify 0 into 0 121.372 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 121.373 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 121.374 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 121.375 * [backup-simplify]: Simplify (+ 0 0) into 0 121.377 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 121.377 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 121.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 121.382 * [backup-simplify]: Simplify (* (exp (+ (log n) (log (* 2 PI)))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (+ (log n) (log (* 2 PI)))))) 121.386 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (+ (log n) (log (* 2 PI)))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (+ (log n) (log (* 2 PI))))) 121.396 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (+ (log n) (log (* 2 PI))))) (pow (* k 1) 2)) (+ (* (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI))))) (* k 1)) (exp (+ (log n) (log (* 2 PI)))))) into (- (exp (+ (log n) (log (* 2 PI)))) (+ (* +nan.0 (* k (* (exp (+ (log n) (log (* 2 PI)))) (log (* 2 PI))))) (- (+ (* +nan.0 (* k (* (log n) (exp (+ (log n) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (log n) (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2))))) (- (+ (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (pow (log n) 2) (pow k 2))))))))))))))))) 121.397 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 k))) 1)) into (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) 121.397 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in (n k) around 0 121.397 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 121.397 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 121.397 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 121.397 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 121.397 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 121.397 * [taylor]: Taking taylor expansion of (/ 1 k) in k 121.397 * [taylor]: Taking taylor expansion of k in k 121.397 * [backup-simplify]: Simplify 0 into 0 121.397 * [backup-simplify]: Simplify 1 into 1 121.397 * [backup-simplify]: Simplify (/ 1 1) into 1 121.398 * [backup-simplify]: Simplify (sqrt 0) into 0 121.399 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 121.399 * [taylor]: Taking taylor expansion of 1 in k 121.400 * [backup-simplify]: Simplify 1 into 1 121.400 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 121.400 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 121.400 * [taylor]: Taking taylor expansion of 2 in k 121.400 * [backup-simplify]: Simplify 2 into 2 121.400 * [taylor]: Taking taylor expansion of (/ PI n) in k 121.400 * [taylor]: Taking taylor expansion of PI in k 121.400 * [backup-simplify]: Simplify PI into PI 121.400 * [taylor]: Taking taylor expansion of n in k 121.400 * [backup-simplify]: Simplify n into n 121.400 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 121.400 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 121.400 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 121.400 * [backup-simplify]: Simplify (+ 0 0) into 0 121.401 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 121.401 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 121.401 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 121.402 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 121.402 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 121.403 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 121.403 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 121.404 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 121.404 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 121.404 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 121.404 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 121.404 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 121.404 * [taylor]: Taking taylor expansion of (/ 1 k) in n 121.404 * [taylor]: Taking taylor expansion of k in n 121.404 * [backup-simplify]: Simplify k into k 121.404 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 121.404 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 121.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 121.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 121.404 * [taylor]: Taking taylor expansion of 1 in n 121.404 * [backup-simplify]: Simplify 1 into 1 121.404 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 121.404 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 121.404 * [taylor]: Taking taylor expansion of 2 in n 121.404 * [backup-simplify]: Simplify 2 into 2 121.404 * [taylor]: Taking taylor expansion of (/ PI n) in n 121.404 * [taylor]: Taking taylor expansion of PI in n 121.404 * [backup-simplify]: Simplify PI into PI 121.404 * [taylor]: Taking taylor expansion of n in n 121.404 * [backup-simplify]: Simplify 0 into 0 121.404 * [backup-simplify]: Simplify 1 into 1 121.405 * [backup-simplify]: Simplify (/ PI 1) into PI 121.405 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 121.406 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 121.406 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 121.408 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 121.409 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 121.410 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 121.410 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 121.410 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 121.410 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 121.411 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 121.411 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 121.411 * [taylor]: Taking taylor expansion of (/ 1 k) in n 121.411 * [taylor]: Taking taylor expansion of k in n 121.411 * [backup-simplify]: Simplify k into k 121.411 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 121.411 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 121.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 121.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 121.411 * [taylor]: Taking taylor expansion of 1 in n 121.411 * [backup-simplify]: Simplify 1 into 1 121.411 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 121.411 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 121.411 * [taylor]: Taking taylor expansion of 2 in n 121.411 * [backup-simplify]: Simplify 2 into 2 121.411 * [taylor]: Taking taylor expansion of (/ PI n) in n 121.411 * [taylor]: Taking taylor expansion of PI in n 121.411 * [backup-simplify]: Simplify PI into PI 121.411 * [taylor]: Taking taylor expansion of n in n 121.411 * [backup-simplify]: Simplify 0 into 0 121.411 * [backup-simplify]: Simplify 1 into 1 121.412 * [backup-simplify]: Simplify (/ PI 1) into PI 121.412 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 121.413 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 121.413 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 121.414 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 121.415 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 121.415 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 121.415 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) in k 121.415 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) in k 121.415 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 121.415 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 121.415 * [taylor]: Taking taylor expansion of (/ 1 k) in k 121.415 * [taylor]: Taking taylor expansion of k in k 121.415 * [backup-simplify]: Simplify 0 into 0 121.415 * [backup-simplify]: Simplify 1 into 1 121.416 * [backup-simplify]: Simplify (/ 1 1) into 1 121.416 * [backup-simplify]: Simplify (sqrt 0) into 0 121.417 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 121.417 * [taylor]: Taking taylor expansion of 1 in k 121.417 * [backup-simplify]: Simplify 1 into 1 121.417 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 121.417 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 121.417 * [taylor]: Taking taylor expansion of (* 2 PI) in k 121.417 * [taylor]: Taking taylor expansion of 2 in k 121.417 * [backup-simplify]: Simplify 2 into 2 121.417 * [taylor]: Taking taylor expansion of PI in k 121.417 * [backup-simplify]: Simplify PI into PI 121.417 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 121.418 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 121.418 * [taylor]: Taking taylor expansion of (log n) in k 121.418 * [taylor]: Taking taylor expansion of n in k 121.418 * [backup-simplify]: Simplify n into n 121.418 * [backup-simplify]: Simplify (log n) into (log n) 121.418 * [backup-simplify]: Simplify (+ 0 0) into 0 121.418 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 121.419 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 121.420 * [backup-simplify]: Simplify (* 0 (- (log (* 2 PI)) (log n))) into 0 121.420 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 121.421 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 121.422 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 121.422 * [backup-simplify]: Simplify (- 0) into 0 121.422 * [backup-simplify]: Simplify (+ 0 0) into 0 121.427 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 121.428 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 121.430 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 121.432 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 121.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 121.433 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 121.434 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 121.434 * [backup-simplify]: Simplify (+ 0 0) into 0 121.435 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 121.435 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 121.436 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 121.436 * [taylor]: Taking taylor expansion of 0 in k 121.436 * [backup-simplify]: Simplify 0 into 0 121.437 * [backup-simplify]: Simplify 0 into 0 121.437 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 121.439 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 121.440 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 121.440 * [backup-simplify]: Simplify (- 0) into 0 121.440 * [backup-simplify]: Simplify (+ 0 0) into 0 121.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 121.444 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 121.444 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 121.446 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 121.451 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 121.456 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 121.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 121.459 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 121.462 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 121.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 121.463 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 121.463 * [backup-simplify]: Simplify (+ 0 0) into 0 121.465 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 121.466 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 121.468 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 121.468 * [taylor]: Taking taylor expansion of 0 in k 121.469 * [backup-simplify]: Simplify 0 into 0 121.469 * [backup-simplify]: Simplify 0 into 0 121.469 * [backup-simplify]: Simplify 0 into 0 121.470 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 121.475 * [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 0 121.478 * [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 0 121.478 * [backup-simplify]: Simplify (- 0) into 0 121.478 * [backup-simplify]: Simplify (+ 0 0) into 0 121.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 121.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 121.481 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 121.483 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 121.487 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 121.492 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 121.510 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log (/ 1 n)) 2)) (- (+ (* +nan.0 (* (log (/ 1 n)) (log (* 2 PI)))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 2)) (+ (* (* (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (* (/ 1 k) 1)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 121.511 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 (- k)))) 1)) into (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) 121.511 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in (n k) around 0 121.511 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 121.511 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 121.511 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 121.511 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 121.511 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 121.511 * [taylor]: Taking taylor expansion of (/ -1 k) in k 121.511 * [taylor]: Taking taylor expansion of -1 in k 121.511 * [backup-simplify]: Simplify -1 into -1 121.511 * [taylor]: Taking taylor expansion of k in k 121.511 * [backup-simplify]: Simplify 0 into 0 121.511 * [backup-simplify]: Simplify 1 into 1 121.512 * [backup-simplify]: Simplify (/ -1 1) into -1 121.512 * [backup-simplify]: Simplify (sqrt 0) into 0 121.514 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 121.514 * [taylor]: Taking taylor expansion of 1 in k 121.514 * [backup-simplify]: Simplify 1 into 1 121.514 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 121.514 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 121.514 * [taylor]: Taking taylor expansion of -2 in k 121.514 * [backup-simplify]: Simplify -2 into -2 121.514 * [taylor]: Taking taylor expansion of (/ PI n) in k 121.514 * [taylor]: Taking taylor expansion of PI in k 121.514 * [backup-simplify]: Simplify PI into PI 121.514 * [taylor]: Taking taylor expansion of n in k 121.514 * [backup-simplify]: Simplify n into n 121.514 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 121.514 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 121.514 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 121.514 * [backup-simplify]: Simplify (+ 0 0) into 0 121.515 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 121.515 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 121.515 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 121.516 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 121.516 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 121.517 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 121.517 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 121.517 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 121.518 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 121.518 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 121.518 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 121.518 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 121.518 * [taylor]: Taking taylor expansion of (/ -1 k) in n 121.518 * [taylor]: Taking taylor expansion of -1 in n 121.518 * [backup-simplify]: Simplify -1 into -1 121.518 * [taylor]: Taking taylor expansion of k in n 121.518 * [backup-simplify]: Simplify k into k 121.518 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 121.518 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 121.518 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 121.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 121.518 * [taylor]: Taking taylor expansion of 1 in n 121.518 * [backup-simplify]: Simplify 1 into 1 121.518 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 121.518 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 121.518 * [taylor]: Taking taylor expansion of -2 in n 121.518 * [backup-simplify]: Simplify -2 into -2 121.518 * [taylor]: Taking taylor expansion of (/ PI n) in n 121.518 * [taylor]: Taking taylor expansion of PI in n 121.518 * [backup-simplify]: Simplify PI into PI 121.518 * [taylor]: Taking taylor expansion of n in n 121.518 * [backup-simplify]: Simplify 0 into 0 121.518 * [backup-simplify]: Simplify 1 into 1 121.519 * [backup-simplify]: Simplify (/ PI 1) into PI 121.519 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 121.520 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 121.520 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 121.521 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 121.522 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 121.523 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 121.523 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 121.523 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 121.523 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 121.523 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 121.523 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 121.523 * [taylor]: Taking taylor expansion of (/ -1 k) in n 121.523 * [taylor]: Taking taylor expansion of -1 in n 121.523 * [backup-simplify]: Simplify -1 into -1 121.523 * [taylor]: Taking taylor expansion of k in n 121.523 * [backup-simplify]: Simplify k into k 121.523 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 121.523 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 121.523 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 121.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 121.523 * [taylor]: Taking taylor expansion of 1 in n 121.523 * [backup-simplify]: Simplify 1 into 1 121.523 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 121.523 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 121.523 * [taylor]: Taking taylor expansion of -2 in n 121.523 * [backup-simplify]: Simplify -2 into -2 121.523 * [taylor]: Taking taylor expansion of (/ PI n) in n 121.523 * [taylor]: Taking taylor expansion of PI in n 121.523 * [backup-simplify]: Simplify PI into PI 121.523 * [taylor]: Taking taylor expansion of n in n 121.523 * [backup-simplify]: Simplify 0 into 0 121.523 * [backup-simplify]: Simplify 1 into 1 121.524 * [backup-simplify]: Simplify (/ PI 1) into PI 121.524 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 121.524 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 121.524 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 121.525 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 121.526 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 121.527 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 121.527 * [taylor]: Taking taylor expansion of (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) in k 121.527 * [taylor]: Taking taylor expansion of (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) in k 121.527 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 121.527 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 121.527 * [taylor]: Taking taylor expansion of (* -2 PI) in k 121.527 * [taylor]: Taking taylor expansion of -2 in k 121.527 * [backup-simplify]: Simplify -2 into -2 121.527 * [taylor]: Taking taylor expansion of PI in k 121.527 * [backup-simplify]: Simplify PI into PI 121.527 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 121.528 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 121.528 * [taylor]: Taking taylor expansion of (log n) in k 121.528 * [taylor]: Taking taylor expansion of n in k 121.528 * [backup-simplify]: Simplify n into n 121.528 * [backup-simplify]: Simplify (log n) into (log n) 121.528 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 121.528 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 121.528 * [taylor]: Taking taylor expansion of (/ -1 k) in k 121.528 * [taylor]: Taking taylor expansion of -1 in k 121.528 * [backup-simplify]: Simplify -1 into -1 121.528 * [taylor]: Taking taylor expansion of k in k 121.528 * [backup-simplify]: Simplify 0 into 0 121.528 * [backup-simplify]: Simplify 1 into 1 121.528 * [backup-simplify]: Simplify (/ -1 1) into -1 121.528 * [backup-simplify]: Simplify (sqrt 0) into 0 121.529 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 121.529 * [taylor]: Taking taylor expansion of 1 in k 121.529 * [backup-simplify]: Simplify 1 into 1 121.529 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 121.530 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 121.530 * [backup-simplify]: Simplify (+ 0 0) into 0 121.531 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) 0) into 0 121.531 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 121.531 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 121.537 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 121.538 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 121.538 * [backup-simplify]: Simplify (- 0) into 0 121.538 * [backup-simplify]: Simplify (+ 0 0) into 0 121.539 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (* 0 0)) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 121.541 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 121.542 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 121.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 121.543 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 121.544 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 121.545 * [backup-simplify]: Simplify (+ 0 0) into 0 121.545 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 121.546 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 121.547 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 121.547 * [taylor]: Taking taylor expansion of 0 in k 121.547 * [backup-simplify]: Simplify 0 into 0 121.547 * [backup-simplify]: Simplify 0 into 0 121.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 121.550 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 121.550 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 121.551 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 121.552 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 121.553 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 121.554 * [backup-simplify]: Simplify (- 0) into 0 121.554 * [backup-simplify]: Simplify (+ 0 0) into 0 121.555 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 121.558 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 121.562 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 121.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 121.563 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 121.565 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 121.565 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 121.565 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 121.566 * [backup-simplify]: Simplify (+ 0 0) into 0 121.566 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 121.567 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 121.569 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 121.569 * [taylor]: Taking taylor expansion of 0 in k 121.569 * [backup-simplify]: Simplify 0 into 0 121.569 * [backup-simplify]: Simplify 0 into 0 121.569 * [backup-simplify]: Simplify 0 into 0 121.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 121.572 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 121.572 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 121.573 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 121.579 * [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 0 121.582 * [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 0 121.582 * [backup-simplify]: Simplify (- 0) into 0 121.583 * [backup-simplify]: Simplify (+ 0 0) into 0 121.585 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 121.594 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 121.603 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))) 121.622 * [backup-simplify]: Simplify (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log (/ 1 (- n))) 2)) (- (+ (* +nan.0 (* (log (/ 1 (- n))) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))) (* (/ 1 (- k)) 1)) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 121.622 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 121.623 * [backup-simplify]: Simplify (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) into (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) 121.623 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in (n k) around 0 121.623 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in k 121.623 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in k 121.623 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in k 121.623 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in k 121.623 * [taylor]: Taking taylor expansion of 1/2 in k 121.623 * [backup-simplify]: Simplify 1/2 into 1/2 121.623 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 121.623 * [taylor]: Taking taylor expansion of 1 in k 121.623 * [backup-simplify]: Simplify 1 into 1 121.623 * [taylor]: Taking taylor expansion of (sqrt k) in k 121.623 * [taylor]: Taking taylor expansion of k in k 121.623 * [backup-simplify]: Simplify 0 into 0 121.623 * [backup-simplify]: Simplify 1 into 1 121.624 * [backup-simplify]: Simplify (sqrt 0) into 0 121.625 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 121.625 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in k 121.625 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 121.625 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 121.625 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 121.625 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 121.625 * [taylor]: Taking taylor expansion of (sqrt k) in k 121.625 * [taylor]: Taking taylor expansion of k in k 121.625 * [backup-simplify]: Simplify 0 into 0 121.625 * [backup-simplify]: Simplify 1 into 1 121.626 * [backup-simplify]: Simplify (sqrt 0) into 0 121.627 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 121.627 * [taylor]: Taking taylor expansion of 1 in k 121.627 * [backup-simplify]: Simplify 1 into 1 121.627 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 121.627 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 121.627 * [taylor]: Taking taylor expansion of 2 in k 121.627 * [backup-simplify]: Simplify 2 into 2 121.627 * [taylor]: Taking taylor expansion of (* n PI) in k 121.627 * [taylor]: Taking taylor expansion of n in k 121.627 * [backup-simplify]: Simplify n into n 121.627 * [taylor]: Taking taylor expansion of PI in k 121.627 * [backup-simplify]: Simplify PI into PI 121.627 * [backup-simplify]: Simplify (* n PI) into (* n PI) 121.627 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 121.627 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 121.628 * [backup-simplify]: Simplify (+ 0 1) into 1 121.628 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 121.628 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 121.628 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 121.629 * [backup-simplify]: Simplify (- 0) into 0 121.629 * [backup-simplify]: Simplify (+ 1 0) into 1 121.629 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 121.630 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 121.630 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 121.630 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 121.630 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 121.630 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 121.630 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 121.630 * [taylor]: Taking taylor expansion of 1/2 in n 121.630 * [backup-simplify]: Simplify 1/2 into 1/2 121.630 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 121.630 * [taylor]: Taking taylor expansion of 1 in n 121.630 * [backup-simplify]: Simplify 1 into 1 121.630 * [taylor]: Taking taylor expansion of (sqrt k) in n 121.630 * [taylor]: Taking taylor expansion of k in n 121.630 * [backup-simplify]: Simplify k into k 121.630 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 121.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 121.630 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 121.630 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 121.630 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 121.630 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 121.630 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 121.630 * [taylor]: Taking taylor expansion of (sqrt k) in n 121.630 * [taylor]: Taking taylor expansion of k in n 121.630 * [backup-simplify]: Simplify k into k 121.630 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 121.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 121.631 * [taylor]: Taking taylor expansion of 1 in n 121.631 * [backup-simplify]: Simplify 1 into 1 121.631 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 121.631 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 121.631 * [taylor]: Taking taylor expansion of 2 in n 121.631 * [backup-simplify]: Simplify 2 into 2 121.631 * [taylor]: Taking taylor expansion of (* n PI) in n 121.631 * [taylor]: Taking taylor expansion of n in n 121.631 * [backup-simplify]: Simplify 0 into 0 121.631 * [backup-simplify]: Simplify 1 into 1 121.631 * [taylor]: Taking taylor expansion of PI in n 121.631 * [backup-simplify]: Simplify PI into PI 121.631 * [backup-simplify]: Simplify (* 0 PI) into 0 121.632 * [backup-simplify]: Simplify (* 2 0) into 0 121.633 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 121.634 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 121.636 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 121.636 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 121.637 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 121.638 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 121.639 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 121.640 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 121.640 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 121.640 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 121.641 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 121.642 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 121.643 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 121.643 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 121.643 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 121.643 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 121.643 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 121.643 * [taylor]: Taking taylor expansion of 1/2 in n 121.643 * [backup-simplify]: Simplify 1/2 into 1/2 121.643 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 121.643 * [taylor]: Taking taylor expansion of 1 in n 121.643 * [backup-simplify]: Simplify 1 into 1 121.643 * [taylor]: Taking taylor expansion of (sqrt k) in n 121.643 * [taylor]: Taking taylor expansion of k in n 121.643 * [backup-simplify]: Simplify k into k 121.643 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 121.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 121.643 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 121.643 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 121.643 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 121.643 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 121.643 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 121.643 * [taylor]: Taking taylor expansion of (sqrt k) in n 121.644 * [taylor]: Taking taylor expansion of k in n 121.644 * [backup-simplify]: Simplify k into k 121.644 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 121.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 121.644 * [taylor]: Taking taylor expansion of 1 in n 121.644 * [backup-simplify]: Simplify 1 into 1 121.644 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 121.644 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 121.644 * [taylor]: Taking taylor expansion of 2 in n 121.644 * [backup-simplify]: Simplify 2 into 2 121.644 * [taylor]: Taking taylor expansion of (* n PI) in n 121.644 * [taylor]: Taking taylor expansion of n in n 121.644 * [backup-simplify]: Simplify 0 into 0 121.644 * [backup-simplify]: Simplify 1 into 1 121.644 * [taylor]: Taking taylor expansion of PI in n 121.644 * [backup-simplify]: Simplify PI into PI 121.644 * [backup-simplify]: Simplify (* 0 PI) into 0 121.645 * [backup-simplify]: Simplify (* 2 0) into 0 121.646 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 121.648 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 121.655 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 121.656 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 121.657 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 121.658 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 121.660 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 121.661 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 121.661 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 121.661 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 121.661 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 121.663 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 121.664 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 121.664 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) in k 121.664 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) in k 121.664 * [taylor]: Taking taylor expansion of 1/2 in k 121.664 * [backup-simplify]: Simplify 1/2 into 1/2 121.664 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))) in k 121.664 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 121.664 * [taylor]: Taking taylor expansion of (sqrt k) in k 121.664 * [taylor]: Taking taylor expansion of k in k 121.664 * [backup-simplify]: Simplify 0 into 0 121.664 * [backup-simplify]: Simplify 1 into 1 121.665 * [backup-simplify]: Simplify (sqrt 0) into 0 121.666 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 121.666 * [taylor]: Taking taylor expansion of 1 in k 121.666 * [backup-simplify]: Simplify 1 into 1 121.666 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))) in k 121.666 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 121.666 * [taylor]: Taking taylor expansion of 1 in k 121.666 * [backup-simplify]: Simplify 1 into 1 121.666 * [taylor]: Taking taylor expansion of (sqrt k) in k 121.666 * [taylor]: Taking taylor expansion of k in k 121.666 * [backup-simplify]: Simplify 0 into 0 121.666 * [backup-simplify]: Simplify 1 into 1 121.667 * [backup-simplify]: Simplify (sqrt 0) into 0 121.668 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 121.668 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 121.668 * [taylor]: Taking taylor expansion of (log n) in k 121.668 * [taylor]: Taking taylor expansion of n in k 121.668 * [backup-simplify]: Simplify n into n 121.668 * [backup-simplify]: Simplify (log n) into (log n) 121.668 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 121.668 * [taylor]: Taking taylor expansion of (* 2 PI) in k 121.668 * [taylor]: Taking taylor expansion of 2 in k 121.668 * [backup-simplify]: Simplify 2 into 2 121.668 * [taylor]: Taking taylor expansion of PI in k 121.668 * [backup-simplify]: Simplify PI into PI 121.669 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 121.670 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 121.670 * [backup-simplify]: Simplify (+ 0 1) into 1 121.671 * [backup-simplify]: Simplify (- 0) into 0 121.671 * [backup-simplify]: Simplify (+ 1 0) into 1 121.672 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 121.673 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 121.674 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 121.675 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 121.677 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 121.678 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 121.679 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 121.680 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 121.682 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 121.682 * [backup-simplify]: Simplify (+ 0 0) into 0 121.684 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 121.685 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 121.687 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 121.689 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 1) into 0 121.689 * [backup-simplify]: Simplify (- 0) into 0 121.689 * [backup-simplify]: Simplify (+ 0 0) into 0 121.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt k)))) into 0 121.691 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into 0 121.693 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 1) 1)))) into 0 121.693 * [taylor]: Taking taylor expansion of 0 in k 121.693 * [backup-simplify]: Simplify 0 into 0 121.693 * [backup-simplify]: Simplify 0 into 0 121.694 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 121.695 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 121.697 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 121.697 * [backup-simplify]: Simplify (+ 0 0) into 0 121.697 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 121.698 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 121.700 * [backup-simplify]: Simplify (+ (* 1 0) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 121.701 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 121.704 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 121.708 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 121.712 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 121.716 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) 121.717 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 121.718 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 121.721 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 121.722 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 121.723 * [backup-simplify]: Simplify (+ 0 0) into 0 121.724 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 121.725 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 121.728 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 121.731 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 2) into 0 121.732 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 121.732 * [backup-simplify]: Simplify (- 0) into 0 121.733 * [backup-simplify]: Simplify (+ 0 0) into 0 121.734 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt k))))) into 0 121.735 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))))) into 0 121.738 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 121.738 * [taylor]: Taking taylor expansion of 0 in k 121.738 * [backup-simplify]: Simplify 0 into 0 121.738 * [backup-simplify]: Simplify 0 into 0 121.738 * [backup-simplify]: Simplify 0 into 0 121.740 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 121.741 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 121.744 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 121.745 * [backup-simplify]: Simplify (+ 0 0) into 0 121.748 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 121.748 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 121.749 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 121.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 121.755 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 121.755 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 121.761 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 121.767 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 121.774 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 121.781 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) 121.804 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (* k 1) 2)) (+ (* (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* +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 (* (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 (* (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)))))))))))))))) 121.805 * [backup-simplify]: Simplify (pow (pow (* (/ 1 n) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 k))) 1)) (/ (- 1 (sqrt (/ 1 k))) 2)) into (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) 121.805 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in (n k) around 0 121.805 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in k 121.805 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in k 121.805 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in k 121.805 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in k 121.805 * [taylor]: Taking taylor expansion of 1/2 in k 121.805 * [backup-simplify]: Simplify 1/2 into 1/2 121.805 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 121.806 * [taylor]: Taking taylor expansion of 1 in k 121.806 * [backup-simplify]: Simplify 1 into 1 121.806 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 121.806 * [taylor]: Taking taylor expansion of (/ 1 k) in k 121.806 * [taylor]: Taking taylor expansion of k in k 121.806 * [backup-simplify]: Simplify 0 into 0 121.806 * [backup-simplify]: Simplify 1 into 1 121.806 * [backup-simplify]: Simplify (/ 1 1) into 1 121.807 * [backup-simplify]: Simplify (sqrt 0) into 0 121.808 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 121.809 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in k 121.809 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 121.809 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 121.809 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 121.809 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 121.809 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 121.809 * [taylor]: Taking taylor expansion of (/ 1 k) in k 121.809 * [taylor]: Taking taylor expansion of k in k 121.809 * [backup-simplify]: Simplify 0 into 0 121.809 * [backup-simplify]: Simplify 1 into 1 121.809 * [backup-simplify]: Simplify (/ 1 1) into 1 121.810 * [backup-simplify]: Simplify (sqrt 0) into 0 121.811 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 121.811 * [taylor]: Taking taylor expansion of 1 in k 121.811 * [backup-simplify]: Simplify 1 into 1 121.811 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 121.811 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 121.811 * [taylor]: Taking taylor expansion of 2 in k 121.811 * [backup-simplify]: Simplify 2 into 2 121.811 * [taylor]: Taking taylor expansion of (/ PI n) in k 121.811 * [taylor]: Taking taylor expansion of PI in k 121.811 * [backup-simplify]: Simplify PI into PI 121.811 * [taylor]: Taking taylor expansion of n in k 121.811 * [backup-simplify]: Simplify n into n 121.811 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 121.811 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 121.811 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 121.812 * [backup-simplify]: Simplify (+ 0 0) into 0 121.812 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 121.812 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 121.813 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 121.813 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 121.814 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 121.814 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 121.814 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 121.814 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 121.815 * [backup-simplify]: Simplify (- 0) into 0 121.815 * [backup-simplify]: Simplify (+ 0 0) into 0 121.815 * [backup-simplify]: Simplify (* 1/2 0) into 0 121.815 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* 2 (/ PI n)))))) into 0 121.815 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 121.816 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 121.817 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 1)))) 2) into 0 121.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 121.819 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 121.819 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 121.820 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n)))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 121.821 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) 121.821 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* 2 (/ PI n)))) 121.821 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 121.822 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 121.823 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 121.823 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 121.823 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 121.823 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 121.824 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 121.824 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 121.824 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 121.824 * [taylor]: Taking taylor expansion of 1/2 in n 121.824 * [backup-simplify]: Simplify 1/2 into 1/2 121.824 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 121.824 * [taylor]: Taking taylor expansion of 1 in n 121.824 * [backup-simplify]: Simplify 1 into 1 121.824 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 121.824 * [taylor]: Taking taylor expansion of (/ 1 k) in n 121.824 * [taylor]: Taking taylor expansion of k in n 121.824 * [backup-simplify]: Simplify k into k 121.824 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 121.824 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 121.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 121.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 121.824 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 121.824 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 121.824 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 121.824 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 121.824 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 121.824 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 121.824 * [taylor]: Taking taylor expansion of (/ 1 k) in n 121.824 * [taylor]: Taking taylor expansion of k in n 121.824 * [backup-simplify]: Simplify k into k 121.824 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 121.824 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 121.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 121.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 121.824 * [taylor]: Taking taylor expansion of 1 in n 121.824 * [backup-simplify]: Simplify 1 into 1 121.824 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 121.824 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 121.824 * [taylor]: Taking taylor expansion of 2 in n 121.824 * [backup-simplify]: Simplify 2 into 2 121.824 * [taylor]: Taking taylor expansion of (/ PI n) in n 121.824 * [taylor]: Taking taylor expansion of PI in n 121.824 * [backup-simplify]: Simplify PI into PI 121.824 * [taylor]: Taking taylor expansion of n in n 121.824 * [backup-simplify]: Simplify 0 into 0 121.824 * [backup-simplify]: Simplify 1 into 1 121.825 * [backup-simplify]: Simplify (/ PI 1) into PI 121.825 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 121.826 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 121.826 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 121.827 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 121.827 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 121.828 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 121.829 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 121.829 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 121.829 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 121.829 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 121.829 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 121.830 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 121.830 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 121.830 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 121.830 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 121.830 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 121.830 * [taylor]: Taking taylor expansion of 1/2 in n 121.830 * [backup-simplify]: Simplify 1/2 into 1/2 121.830 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 121.830 * [taylor]: Taking taylor expansion of 1 in n 121.830 * [backup-simplify]: Simplify 1 into 1 121.830 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 121.830 * [taylor]: Taking taylor expansion of (/ 1 k) in n 121.830 * [taylor]: Taking taylor expansion of k in n 121.830 * [backup-simplify]: Simplify k into k 121.830 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 121.831 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 121.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 121.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 121.831 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 121.831 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 121.831 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 121.831 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 121.831 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 121.831 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 121.831 * [taylor]: Taking taylor expansion of (/ 1 k) in n 121.831 * [taylor]: Taking taylor expansion of k in n 121.831 * [backup-simplify]: Simplify k into k 121.831 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 121.831 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 121.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 121.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 121.831 * [taylor]: Taking taylor expansion of 1 in n 121.831 * [backup-simplify]: Simplify 1 into 1 121.831 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 121.831 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 121.831 * [taylor]: Taking taylor expansion of 2 in n 121.831 * [backup-simplify]: Simplify 2 into 2 121.831 * [taylor]: Taking taylor expansion of (/ PI n) in n 121.831 * [taylor]: Taking taylor expansion of PI in n 121.831 * [backup-simplify]: Simplify PI into PI 121.831 * [taylor]: Taking taylor expansion of n in n 121.831 * [backup-simplify]: Simplify 0 into 0 121.831 * [backup-simplify]: Simplify 1 into 1 121.831 * [backup-simplify]: Simplify (/ PI 1) into PI 121.832 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 121.832 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 121.832 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 121.833 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 121.834 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 121.835 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 121.835 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 121.835 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 121.835 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 121.835 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 121.836 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 121.837 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 121.837 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) in k 121.837 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) in k 121.837 * [taylor]: Taking taylor expansion of 1/2 in k 121.837 * [backup-simplify]: Simplify 1/2 into 1/2 121.837 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 121.837 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 121.837 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 121.837 * [taylor]: Taking taylor expansion of (/ 1 k) in k 121.837 * [taylor]: Taking taylor expansion of k in k 121.837 * [backup-simplify]: Simplify 0 into 0 121.837 * [backup-simplify]: Simplify 1 into 1 121.837 * [backup-simplify]: Simplify (/ 1 1) into 1 121.838 * [backup-simplify]: Simplify (sqrt 0) into 0 121.839 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 121.839 * [taylor]: Taking taylor expansion of 1 in k 121.839 * [backup-simplify]: Simplify 1 into 1 121.839 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 121.839 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 121.839 * [taylor]: Taking taylor expansion of 1 in k 121.839 * [backup-simplify]: Simplify 1 into 1 121.839 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 121.839 * [taylor]: Taking taylor expansion of (/ 1 k) in k 121.839 * [taylor]: Taking taylor expansion of k in k 121.839 * [backup-simplify]: Simplify 0 into 0 121.839 * [backup-simplify]: Simplify 1 into 1 121.839 * [backup-simplify]: Simplify (/ 1 1) into 1 121.839 * [backup-simplify]: Simplify (sqrt 0) into 0 121.840 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 121.840 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 121.840 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 121.840 * [taylor]: Taking taylor expansion of (* 2 PI) in k 121.840 * [taylor]: Taking taylor expansion of 2 in k 121.840 * [backup-simplify]: Simplify 2 into 2 121.840 * [taylor]: Taking taylor expansion of PI in k 121.840 * [backup-simplify]: Simplify PI into PI 121.841 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 121.841 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 121.841 * [taylor]: Taking taylor expansion of (log n) in k 121.841 * [taylor]: Taking taylor expansion of n in k 121.842 * [backup-simplify]: Simplify n into n 121.842 * [backup-simplify]: Simplify (log n) into (log n) 121.842 * [backup-simplify]: Simplify (+ 0 0) into 0 121.842 * [backup-simplify]: Simplify (- 0) into 0 121.843 * [backup-simplify]: Simplify (+ 0 0) into 0 121.843 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 121.844 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 121.845 * [backup-simplify]: Simplify (* 0 (- (log (* 2 PI)) (log n))) into 0 121.845 * [backup-simplify]: Simplify (* 0 0) into 0 121.845 * [backup-simplify]: Simplify (* 1/2 0) into 0 121.846 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 121.848 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 121.849 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 121.850 * [backup-simplify]: Simplify (- 0) into 0 121.850 * [backup-simplify]: Simplify (+ 0 0) into 0 121.850 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 121.851 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 121.853 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 121.853 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 121.856 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)) into 0 121.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 0)) into 0 121.858 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 121.862 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 121.863 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 121.864 * [backup-simplify]: Simplify (- 0) into 0 121.864 * [backup-simplify]: Simplify (+ 0 0) into 0 121.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 121.868 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 121.868 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 121.869 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 121.871 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 121.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 121.875 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 121.876 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 121.882 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 121.884 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 121.887 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 121.889 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 121.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 121.891 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 121.893 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 121.893 * [backup-simplify]: Simplify (+ 0 0) into 0 121.895 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 121.896 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 121.898 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 121.899 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 1) into 0 121.900 * [backup-simplify]: Simplify (- 0) into 0 121.900 * [backup-simplify]: Simplify (+ 0 0) into 0 121.901 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt (/ 1 k))))) into 0 121.902 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into 0 121.904 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 1) 1)))) into 0 121.904 * [taylor]: Taking taylor expansion of 0 in k 121.904 * [backup-simplify]: Simplify 0 into 0 121.904 * [backup-simplify]: Simplify 0 into 0 121.905 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 121.911 * [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 0 121.914 * [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 0 121.914 * [backup-simplify]: Simplify (- 0) into 0 121.915 * [backup-simplify]: Simplify (+ 0 0) into 0 121.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 121.920 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 121.920 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 121.921 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 121.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 121.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 121.936 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 121.936 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 121.945 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 121.949 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 121.954 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 121.957 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 121.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 121.958 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 121.960 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 121.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 121.961 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 121.961 * [backup-simplify]: Simplify (+ 0 0) into 0 121.962 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 121.963 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 121.964 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 121.966 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 2) into 0 121.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 121.967 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 121.967 * [backup-simplify]: Simplify (- 0) into 0 121.967 * [backup-simplify]: Simplify (+ 0 0) into 0 121.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ 1 k)))))) into 0 121.969 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))))) into 0 121.971 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 121.971 * [taylor]: Taking taylor expansion of 0 in k 121.971 * [backup-simplify]: Simplify 0 into 0 121.971 * [backup-simplify]: Simplify 0 into 0 121.971 * [backup-simplify]: Simplify 0 into 0 121.972 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 121.978 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0 121.981 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 121.981 * [backup-simplify]: Simplify (- 0) into 0 121.982 * [backup-simplify]: Simplify (+ 0 0) into 0 121.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 121.985 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 121.985 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 121.986 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 121.988 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 121.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 121.993 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 121.993 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 122.004 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 122.010 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 122.018 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 122.027 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 122.057 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log (/ 1 n)) 2)) (- (+ (* +nan.0 (* (log (/ 1 n)) (log (* 2 PI)))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 2)) (+ (* (* (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (* (/ 1 k) 1)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 122.058 * [backup-simplify]: Simplify (pow (pow (* (/ 1 (- n)) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 (- k)))) 1)) (/ (- 1 (sqrt (/ 1 (- k)))) 2)) into (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) 122.058 * [approximate]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in (n k) around 0 122.058 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in k 122.058 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in k 122.058 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in k 122.058 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in k 122.058 * [taylor]: Taking taylor expansion of 1/2 in k 122.058 * [backup-simplify]: Simplify 1/2 into 1/2 122.058 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 122.058 * [taylor]: Taking taylor expansion of 1 in k 122.058 * [backup-simplify]: Simplify 1 into 1 122.058 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 122.058 * [taylor]: Taking taylor expansion of (/ -1 k) in k 122.058 * [taylor]: Taking taylor expansion of -1 in k 122.058 * [backup-simplify]: Simplify -1 into -1 122.058 * [taylor]: Taking taylor expansion of k in k 122.058 * [backup-simplify]: Simplify 0 into 0 122.058 * [backup-simplify]: Simplify 1 into 1 122.059 * [backup-simplify]: Simplify (/ -1 1) into -1 122.059 * [backup-simplify]: Simplify (sqrt 0) into 0 122.061 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 122.061 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in k 122.061 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 122.061 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 122.061 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 122.061 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 122.061 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 122.061 * [taylor]: Taking taylor expansion of (/ -1 k) in k 122.061 * [taylor]: Taking taylor expansion of -1 in k 122.061 * [backup-simplify]: Simplify -1 into -1 122.061 * [taylor]: Taking taylor expansion of k in k 122.061 * [backup-simplify]: Simplify 0 into 0 122.061 * [backup-simplify]: Simplify 1 into 1 122.062 * [backup-simplify]: Simplify (/ -1 1) into -1 122.062 * [backup-simplify]: Simplify (sqrt 0) into 0 122.063 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 122.063 * [taylor]: Taking taylor expansion of 1 in k 122.063 * [backup-simplify]: Simplify 1 into 1 122.063 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 122.064 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 122.064 * [taylor]: Taking taylor expansion of -2 in k 122.064 * [backup-simplify]: Simplify -2 into -2 122.064 * [taylor]: Taking taylor expansion of (/ PI n) in k 122.064 * [taylor]: Taking taylor expansion of PI in k 122.064 * [backup-simplify]: Simplify PI into PI 122.064 * [taylor]: Taking taylor expansion of n in k 122.064 * [backup-simplify]: Simplify n into n 122.064 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 122.064 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 122.064 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 122.064 * [backup-simplify]: Simplify (+ 0 0) into 0 122.064 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 122.065 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 122.065 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 122.066 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 122.066 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 122.067 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 122.067 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 122.068 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 122.068 * [backup-simplify]: Simplify (- 0) into 0 122.068 * [backup-simplify]: Simplify (+ 0 0) into 0 122.069 * [backup-simplify]: Simplify (* 1/2 0) into 0 122.069 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* -2 (/ PI n)))))) into 0 122.069 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 122.070 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 122.072 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (/ PI n)) 1)))) 2) into 0 122.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 122.076 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 122.077 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 122.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* -2 (/ PI n)))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 122.079 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 122.079 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* -2 (/ PI n)))) 122.080 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 122.081 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 122.083 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 122.084 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* -2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 122.084 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 122.084 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 122.084 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 122.084 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 122.084 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 122.084 * [taylor]: Taking taylor expansion of 1/2 in n 122.084 * [backup-simplify]: Simplify 1/2 into 1/2 122.084 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 122.084 * [taylor]: Taking taylor expansion of 1 in n 122.084 * [backup-simplify]: Simplify 1 into 1 122.084 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 122.084 * [taylor]: Taking taylor expansion of (/ -1 k) in n 122.084 * [taylor]: Taking taylor expansion of -1 in n 122.084 * [backup-simplify]: Simplify -1 into -1 122.084 * [taylor]: Taking taylor expansion of k in n 122.084 * [backup-simplify]: Simplify k into k 122.084 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 122.084 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 122.084 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 122.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 122.085 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 122.085 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 122.085 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 122.085 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 122.085 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 122.085 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 122.085 * [taylor]: Taking taylor expansion of (/ -1 k) in n 122.085 * [taylor]: Taking taylor expansion of -1 in n 122.085 * [backup-simplify]: Simplify -1 into -1 122.085 * [taylor]: Taking taylor expansion of k in n 122.085 * [backup-simplify]: Simplify k into k 122.085 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 122.085 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 122.085 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 122.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 122.085 * [taylor]: Taking taylor expansion of 1 in n 122.085 * [backup-simplify]: Simplify 1 into 1 122.085 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 122.085 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 122.085 * [taylor]: Taking taylor expansion of -2 in n 122.085 * [backup-simplify]: Simplify -2 into -2 122.085 * [taylor]: Taking taylor expansion of (/ PI n) in n 122.086 * [taylor]: Taking taylor expansion of PI in n 122.086 * [backup-simplify]: Simplify PI into PI 122.086 * [taylor]: Taking taylor expansion of n in n 122.086 * [backup-simplify]: Simplify 0 into 0 122.086 * [backup-simplify]: Simplify 1 into 1 122.086 * [backup-simplify]: Simplify (/ PI 1) into PI 122.087 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 122.088 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 122.088 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 122.089 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 122.090 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 122.091 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 122.093 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 122.093 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 122.093 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 122.093 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 122.094 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 122.095 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 122.095 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 122.095 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 122.095 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 122.095 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 122.095 * [taylor]: Taking taylor expansion of 1/2 in n 122.095 * [backup-simplify]: Simplify 1/2 into 1/2 122.096 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 122.096 * [taylor]: Taking taylor expansion of 1 in n 122.096 * [backup-simplify]: Simplify 1 into 1 122.096 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 122.096 * [taylor]: Taking taylor expansion of (/ -1 k) in n 122.096 * [taylor]: Taking taylor expansion of -1 in n 122.096 * [backup-simplify]: Simplify -1 into -1 122.096 * [taylor]: Taking taylor expansion of k in n 122.096 * [backup-simplify]: Simplify k into k 122.096 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 122.096 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 122.096 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 122.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 122.096 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 122.096 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 122.096 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 122.096 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 122.096 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 122.096 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 122.096 * [taylor]: Taking taylor expansion of (/ -1 k) in n 122.096 * [taylor]: Taking taylor expansion of -1 in n 122.096 * [backup-simplify]: Simplify -1 into -1 122.096 * [taylor]: Taking taylor expansion of k in n 122.096 * [backup-simplify]: Simplify k into k 122.096 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 122.096 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 122.097 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 122.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 122.097 * [taylor]: Taking taylor expansion of 1 in n 122.097 * [backup-simplify]: Simplify 1 into 1 122.097 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 122.097 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 122.097 * [taylor]: Taking taylor expansion of -2 in n 122.097 * [backup-simplify]: Simplify -2 into -2 122.097 * [taylor]: Taking taylor expansion of (/ PI n) in n 122.097 * [taylor]: Taking taylor expansion of PI in n 122.097 * [backup-simplify]: Simplify PI into PI 122.097 * [taylor]: Taking taylor expansion of n in n 122.097 * [backup-simplify]: Simplify 0 into 0 122.097 * [backup-simplify]: Simplify 1 into 1 122.097 * [backup-simplify]: Simplify (/ PI 1) into PI 122.098 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 122.099 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 122.099 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 122.100 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 122.101 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 122.103 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 122.104 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 122.104 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 122.104 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 122.104 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 122.105 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 122.106 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 122.106 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) in k 122.107 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) in k 122.107 * [taylor]: Taking taylor expansion of 1/2 in k 122.107 * [backup-simplify]: Simplify 1/2 into 1/2 122.107 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) in k 122.107 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 122.107 * [taylor]: Taking taylor expansion of 1 in k 122.107 * [backup-simplify]: Simplify 1 into 1 122.107 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 122.107 * [taylor]: Taking taylor expansion of (/ -1 k) in k 122.107 * [taylor]: Taking taylor expansion of -1 in k 122.107 * [backup-simplify]: Simplify -1 into -1 122.107 * [taylor]: Taking taylor expansion of k in k 122.107 * [backup-simplify]: Simplify 0 into 0 122.107 * [backup-simplify]: Simplify 1 into 1 122.107 * [backup-simplify]: Simplify (/ -1 1) into -1 122.108 * [backup-simplify]: Simplify (sqrt 0) into 0 122.109 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 122.109 * [taylor]: Taking taylor expansion of (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) in k 122.109 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 122.109 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 122.109 * [taylor]: Taking taylor expansion of (* -2 PI) in k 122.109 * [taylor]: Taking taylor expansion of -2 in k 122.109 * [backup-simplify]: Simplify -2 into -2 122.109 * [taylor]: Taking taylor expansion of PI in k 122.109 * [backup-simplify]: Simplify PI into PI 122.110 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 122.111 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 122.111 * [taylor]: Taking taylor expansion of (log n) in k 122.111 * [taylor]: Taking taylor expansion of n in k 122.111 * [backup-simplify]: Simplify n into n 122.111 * [backup-simplify]: Simplify (log n) into (log n) 122.111 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 122.111 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 122.111 * [taylor]: Taking taylor expansion of (/ -1 k) in k 122.111 * [taylor]: Taking taylor expansion of -1 in k 122.111 * [backup-simplify]: Simplify -1 into -1 122.111 * [taylor]: Taking taylor expansion of k in k 122.111 * [backup-simplify]: Simplify 0 into 0 122.111 * [backup-simplify]: Simplify 1 into 1 122.111 * [backup-simplify]: Simplify (/ -1 1) into -1 122.112 * [backup-simplify]: Simplify (sqrt 0) into 0 122.113 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 122.113 * [taylor]: Taking taylor expansion of 1 in k 122.113 * [backup-simplify]: Simplify 1 into 1 122.114 * [backup-simplify]: Simplify (- 0) into 0 122.114 * [backup-simplify]: Simplify (+ 0 0) into 0 122.114 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 122.115 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 122.115 * [backup-simplify]: Simplify (+ 0 0) into 0 122.116 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) 0) into 0 122.117 * [backup-simplify]: Simplify (* 0 0) into 0 122.117 * [backup-simplify]: Simplify (* 1/2 0) into 0 122.118 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 122.118 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 122.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 122.121 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 122.121 * [backup-simplify]: Simplify (- 0) into 0 122.122 * [backup-simplify]: Simplify (+ 0 0) into 0 122.124 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (* 0 0)) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 122.124 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 122.125 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 122.128 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0)) into 0 122.129 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 0)) into 0 122.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 122.131 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 122.131 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 122.132 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 122.134 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 122.135 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 122.135 * [backup-simplify]: Simplify (- 0) into 0 122.136 * [backup-simplify]: Simplify (+ 0 0) into 0 122.137 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 122.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 122.139 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 122.140 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 122.140 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 122.144 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 122.145 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 122.147 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 122.148 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 122.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 122.149 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 122.150 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 122.151 * [backup-simplify]: Simplify (+ 0 0) into 0 122.152 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 122.153 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 122.154 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 122.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 1)))) 1) into 0 122.155 * [backup-simplify]: Simplify (- 0) into 0 122.155 * [backup-simplify]: Simplify (+ 0 0) into 0 122.156 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt (/ -1 k))))) into 0 122.156 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ -1 k)))) 0) (* 0 (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into 0 122.158 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 122.158 * [taylor]: Taking taylor expansion of 0 in k 122.158 * [backup-simplify]: Simplify 0 into 0 122.158 * [backup-simplify]: Simplify 0 into 0 122.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 122.161 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 122.162 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 122.169 * [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 0 122.172 * [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 0 122.172 * [backup-simplify]: Simplify (- 0) into 0 122.173 * [backup-simplify]: Simplify (+ 0 0) into 0 122.183 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 122.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 122.189 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 122.190 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 122.199 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 122.204 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 122.209 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 122.214 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 122.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.217 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 122.218 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 122.219 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 122.219 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 122.219 * [backup-simplify]: Simplify (+ 0 0) into 0 122.220 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 122.221 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 122.223 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 122.225 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 1)))) 2) into 0 122.225 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 122.225 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 122.226 * [backup-simplify]: Simplify (- 0) into 0 122.226 * [backup-simplify]: Simplify (+ 0 0) into 0 122.227 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ -1 k)))))) into 0 122.227 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ -1 k)))) 0) (+ (* 0 0) (* 0 (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into 0 122.229 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 122.229 * [taylor]: Taking taylor expansion of 0 in k 122.229 * [backup-simplify]: Simplify 0 into 0 122.229 * [backup-simplify]: Simplify 0 into 0 122.229 * [backup-simplify]: Simplify 0 into 0 122.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.233 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 122.233 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 122.234 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 122.240 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -2 PI) 1)))) 24) into 0 122.243 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 122.244 * [backup-simplify]: Simplify (- 0) into 0 122.244 * [backup-simplify]: Simplify (+ 0 0) into 0 122.246 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 122.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.252 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 122.252 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 122.253 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 122.265 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 122.271 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 122.279 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 122.285 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))) 122.301 * [backup-simplify]: Simplify (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log (/ 1 (- n))) 2)) (- (+ (* +nan.0 (* (log (/ 1 (- n))) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))) (* (/ 1 (- k)) 1)) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 122.302 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 122.302 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 122.302 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 122.302 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 122.302 * [taylor]: Taking taylor expansion of 2 in n 122.302 * [backup-simplify]: Simplify 2 into 2 122.303 * [taylor]: Taking taylor expansion of (* n PI) in n 122.303 * [taylor]: Taking taylor expansion of n in n 122.303 * [backup-simplify]: Simplify 0 into 0 122.303 * [backup-simplify]: Simplify 1 into 1 122.303 * [taylor]: Taking taylor expansion of PI in n 122.303 * [backup-simplify]: Simplify PI into PI 122.303 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 122.303 * [taylor]: Taking taylor expansion of 2 in n 122.303 * [backup-simplify]: Simplify 2 into 2 122.303 * [taylor]: Taking taylor expansion of (* n PI) in n 122.303 * [taylor]: Taking taylor expansion of n in n 122.303 * [backup-simplify]: Simplify 0 into 0 122.303 * [backup-simplify]: Simplify 1 into 1 122.303 * [taylor]: Taking taylor expansion of PI in n 122.303 * [backup-simplify]: Simplify PI into PI 122.303 * [backup-simplify]: Simplify (* 0 PI) into 0 122.304 * [backup-simplify]: Simplify (* 2 0) into 0 122.304 * [backup-simplify]: Simplify 0 into 0 122.306 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 122.307 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 122.308 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 122.309 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 122.310 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 122.310 * [backup-simplify]: Simplify 0 into 0 122.311 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 122.312 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 122.312 * [backup-simplify]: Simplify 0 into 0 122.313 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 122.315 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 122.315 * [backup-simplify]: Simplify 0 into 0 122.316 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 122.317 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 122.317 * [backup-simplify]: Simplify 0 into 0 122.318 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 122.319 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 122.319 * [backup-simplify]: Simplify 0 into 0 122.320 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 122.321 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 122.322 * [backup-simplify]: Simplify 0 into 0 122.322 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 122.322 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 122.322 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 122.322 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 122.322 * [taylor]: Taking taylor expansion of 2 in n 122.322 * [backup-simplify]: Simplify 2 into 2 122.322 * [taylor]: Taking taylor expansion of (/ PI n) in n 122.322 * [taylor]: Taking taylor expansion of PI in n 122.322 * [backup-simplify]: Simplify PI into PI 122.322 * [taylor]: Taking taylor expansion of n in n 122.322 * [backup-simplify]: Simplify 0 into 0 122.322 * [backup-simplify]: Simplify 1 into 1 122.323 * [backup-simplify]: Simplify (/ PI 1) into PI 122.323 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 122.323 * [taylor]: Taking taylor expansion of 2 in n 122.323 * [backup-simplify]: Simplify 2 into 2 122.323 * [taylor]: Taking taylor expansion of (/ PI n) in n 122.323 * [taylor]: Taking taylor expansion of PI in n 122.323 * [backup-simplify]: Simplify PI into PI 122.323 * [taylor]: Taking taylor expansion of n in n 122.323 * [backup-simplify]: Simplify 0 into 0 122.323 * [backup-simplify]: Simplify 1 into 1 122.323 * [backup-simplify]: Simplify (/ PI 1) into PI 122.323 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 122.324 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 122.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 122.325 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 122.325 * [backup-simplify]: Simplify 0 into 0 122.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.326 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 122.326 * [backup-simplify]: Simplify 0 into 0 122.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.327 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 122.327 * [backup-simplify]: Simplify 0 into 0 122.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.329 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 122.329 * [backup-simplify]: Simplify 0 into 0 122.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.330 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 122.330 * [backup-simplify]: Simplify 0 into 0 122.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.332 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 122.332 * [backup-simplify]: Simplify 0 into 0 122.332 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 122.332 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 122.332 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 122.332 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 122.333 * [taylor]: Taking taylor expansion of -2 in n 122.333 * [backup-simplify]: Simplify -2 into -2 122.333 * [taylor]: Taking taylor expansion of (/ PI n) in n 122.333 * [taylor]: Taking taylor expansion of PI in n 122.333 * [backup-simplify]: Simplify PI into PI 122.333 * [taylor]: Taking taylor expansion of n in n 122.333 * [backup-simplify]: Simplify 0 into 0 122.333 * [backup-simplify]: Simplify 1 into 1 122.333 * [backup-simplify]: Simplify (/ PI 1) into PI 122.333 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 122.333 * [taylor]: Taking taylor expansion of -2 in n 122.333 * [backup-simplify]: Simplify -2 into -2 122.333 * [taylor]: Taking taylor expansion of (/ PI n) in n 122.333 * [taylor]: Taking taylor expansion of PI in n 122.333 * [backup-simplify]: Simplify PI into PI 122.333 * [taylor]: Taking taylor expansion of n in n 122.333 * [backup-simplify]: Simplify 0 into 0 122.333 * [backup-simplify]: Simplify 1 into 1 122.333 * [backup-simplify]: Simplify (/ PI 1) into PI 122.334 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 122.334 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 122.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 122.335 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 122.335 * [backup-simplify]: Simplify 0 into 0 122.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.336 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 122.336 * [backup-simplify]: Simplify 0 into 0 122.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.338 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 122.338 * [backup-simplify]: Simplify 0 into 0 122.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.339 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 122.339 * [backup-simplify]: Simplify 0 into 0 122.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.341 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 122.341 * [backup-simplify]: Simplify 0 into 0 122.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.343 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 122.343 * [backup-simplify]: Simplify 0 into 0 122.343 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 122.343 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 122.343 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 122.343 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 122.343 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 122.343 * [taylor]: Taking taylor expansion of (/ 1 k) in k 122.343 * [taylor]: Taking taylor expansion of k in k 122.343 * [backup-simplify]: Simplify 0 into 0 122.343 * [backup-simplify]: Simplify 1 into 1 122.343 * [backup-simplify]: Simplify (/ 1 1) into 1 122.344 * [backup-simplify]: Simplify (sqrt 0) into 0 122.345 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 122.345 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 122.345 * [taylor]: Taking taylor expansion of (/ 1 k) in k 122.345 * [taylor]: Taking taylor expansion of k in k 122.345 * [backup-simplify]: Simplify 0 into 0 122.345 * [backup-simplify]: Simplify 1 into 1 122.345 * [backup-simplify]: Simplify (/ 1 1) into 1 122.345 * [backup-simplify]: Simplify (sqrt 0) into 0 122.346 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 122.346 * [backup-simplify]: Simplify 0 into 0 122.346 * [backup-simplify]: Simplify +nan.0 into +nan.0 122.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 122.348 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 122.348 * [backup-simplify]: Simplify +nan.0 into +nan.0 122.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 122.353 * [backup-simplify]: Simplify +nan.0 into +nan.0 122.354 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 122.354 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 122.354 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 122.354 * [taylor]: Taking taylor expansion of (sqrt k) in k 122.354 * [taylor]: Taking taylor expansion of k in k 122.354 * [backup-simplify]: Simplify 0 into 0 122.354 * [backup-simplify]: Simplify 1 into 1 122.354 * [backup-simplify]: Simplify (sqrt 0) into 0 122.356 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 122.356 * [taylor]: Taking taylor expansion of (sqrt k) in k 122.356 * [taylor]: Taking taylor expansion of k in k 122.356 * [backup-simplify]: Simplify 0 into 0 122.356 * [backup-simplify]: Simplify 1 into 1 122.356 * [backup-simplify]: Simplify (sqrt 0) into 0 122.358 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 122.358 * [backup-simplify]: Simplify 0 into 0 122.358 * [backup-simplify]: Simplify +nan.0 into +nan.0 122.361 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 122.361 * [backup-simplify]: Simplify +nan.0 into +nan.0 122.365 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 122.365 * [backup-simplify]: Simplify +nan.0 into +nan.0 122.365 * [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)))))))) 122.365 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 122.365 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 122.365 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 122.365 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 122.365 * [taylor]: Taking taylor expansion of (/ -1 k) in k 122.365 * [taylor]: Taking taylor expansion of -1 in k 122.365 * [backup-simplify]: Simplify -1 into -1 122.365 * [taylor]: Taking taylor expansion of k in k 122.365 * [backup-simplify]: Simplify 0 into 0 122.365 * [backup-simplify]: Simplify 1 into 1 122.366 * [backup-simplify]: Simplify (/ -1 1) into -1 122.366 * [backup-simplify]: Simplify (sqrt 0) into 0 122.368 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 122.368 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 122.368 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 122.368 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 122.368 * [taylor]: Taking taylor expansion of (/ -1 k) in k 122.368 * [taylor]: Taking taylor expansion of -1 in k 122.369 * [backup-simplify]: Simplify -1 into -1 122.369 * [taylor]: Taking taylor expansion of k in k 122.369 * [backup-simplify]: Simplify 0 into 0 122.369 * [backup-simplify]: Simplify 1 into 1 122.369 * [backup-simplify]: Simplify (/ -1 1) into -1 122.369 * [backup-simplify]: Simplify (sqrt 0) into 0 122.371 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 122.371 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 122.371 * [backup-simplify]: Simplify +nan.0 into +nan.0 122.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 122.375 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 122.377 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 122.378 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 122.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 122.386 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 122.387 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 122.388 * [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))))) 122.388 * * * [progress]: simplifying candidates 122.388 * * * * [progress]: [ 1 / 174 ] simplifiying candidate # 122.388 * * * * [progress]: [ 2 / 174 ] simplifiying candidate # 122.388 * * * * [progress]: [ 3 / 174 ] simplifiying candidate # 122.388 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (+ 1 (sqrt k)) 1)) 122.388 * * [simplify]: iters left: 6 (14 enodes) 122.396 * * [simplify]: iters left: 5 (50 enodes) 122.412 * * [simplify]: iters left: 4 (84 enodes) 122.446 * * [simplify]: iters left: 3 (233 enodes) 122.583 * * [simplify]: iters left: 2 (489 enodes) 122.913 * * [simplify]: Extracting #0: cost 1 inf + 0 122.914 * * [simplify]: Extracting #1: cost 67 inf + 0 122.915 * * [simplify]: Extracting #2: cost 227 inf + 1 122.917 * * [simplify]: Extracting #3: cost 191 inf + 8754 122.928 * * [simplify]: Extracting #4: cost 36 inf + 57411 122.958 * * [simplify]: Extracting #5: cost 0 inf + 69510 122.990 * [simplify]: Simplified to (fma (sqrt k) (+ (log n) (+ (log 2) (log PI))) (+ (log n) (+ (log 2) (log PI)))) 122.991 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (fma (sqrt k) (+ (log n) (+ (log 2) (log PI))) (+ (log n) (+ (log 2) (log PI))))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 122.991 * * * * [progress]: [ 4 / 174 ] simplifiying candidate # 122.991 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) 122.991 * * [simplify]: iters left: 6 (13 enodes) 122.995 * * [simplify]: iters left: 5 (48 enodes) 123.006 * * [simplify]: iters left: 4 (77 enodes) 123.028 * * [simplify]: iters left: 3 (183 enodes) 123.093 * * [simplify]: iters left: 2 (399 enodes) 123.386 * * [simplify]: Extracting #0: cost 1 inf + 0 123.386 * * [simplify]: Extracting #1: cost 73 inf + 0 123.387 * * [simplify]: Extracting #2: cost 239 inf + 1 123.388 * * [simplify]: Extracting #3: cost 226 inf + 1448 123.394 * * [simplify]: Extracting #4: cost 189 inf + 9851 123.417 * * [simplify]: Extracting #5: cost 22 inf + 63345 123.445 * * [simplify]: Extracting #6: cost 0 inf + 70556 123.461 * [simplify]: Simplified to (fma (+ (log n) (log (* 2 PI))) (sqrt k) (+ (log n) (log (* 2 PI)))) 123.461 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (fma (+ (log n) (log (* 2 PI))) (sqrt k) (+ (log n) (log (* 2 PI))))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 123.461 * * * * [progress]: [ 5 / 174 ] simplifiying candidate # 123.461 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) 123.461 * * [simplify]: iters left: 6 (12 enodes) 123.465 * * [simplify]: iters left: 5 (47 enodes) 123.481 * * [simplify]: iters left: 4 (84 enodes) 123.513 * * [simplify]: iters left: 3 (184 enodes) 123.608 * * [simplify]: iters left: 2 (409 enodes) 123.899 * * [simplify]: Extracting #0: cost 1 inf + 0 123.900 * * [simplify]: Extracting #1: cost 74 inf + 0 123.902 * * [simplify]: Extracting #2: cost 225 inf + 1 123.905 * * [simplify]: Extracting #3: cost 202 inf + 3586 123.919 * * [simplify]: Extracting #4: cost 84 inf + 34985 123.950 * * [simplify]: Extracting #5: cost 5 inf + 57515 123.971 * * [simplify]: Extracting #6: cost 0 inf + 58887 123.984 * [simplify]: Simplified to (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) 123.984 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 123.985 * * * * [progress]: [ 6 / 174 ] simplifiying candidate # 123.985 * * * * [progress]: [ 7 / 174 ] simplifiying candidate # 123.985 * [simplify]: Simplifying (* n (* 2 PI)) 123.985 * * [simplify]: iters left: 4 (5 enodes) 123.988 * * [simplify]: iters left: 3 (19 enodes) 123.994 * * [simplify]: iters left: 2 (27 enodes) 124.002 * * [simplify]: iters left: 1 (32 enodes) 124.006 * * [simplify]: Extracting #0: cost 1 inf + 0 124.006 * * [simplify]: Extracting #1: cost 8 inf + 0 124.006 * * [simplify]: Extracting #2: cost 7 inf + 45 124.006 * * [simplify]: Extracting #3: cost 0 inf + 421 124.006 * [simplify]: Simplified to (* (* PI 2) n) 124.006 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.006 * * * * [progress]: [ 8 / 174 ] simplifiying candidate # 124.007 * [simplify]: Simplifying (* n (* 2 PI)) 124.007 * * [simplify]: iters left: 4 (5 enodes) 124.008 * * [simplify]: iters left: 3 (19 enodes) 124.012 * * [simplify]: iters left: 2 (27 enodes) 124.016 * * [simplify]: iters left: 1 (32 enodes) 124.020 * * [simplify]: Extracting #0: cost 1 inf + 0 124.020 * * [simplify]: Extracting #1: cost 8 inf + 0 124.020 * * [simplify]: Extracting #2: cost 7 inf + 45 124.020 * * [simplify]: Extracting #3: cost 0 inf + 421 124.021 * [simplify]: Simplified to (* (* PI 2) n) 124.021 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.021 * * * * [progress]: [ 9 / 174 ] simplifiying candidate # 124.021 * [simplify]: Simplifying (* n (* 2 PI)) 124.021 * * [simplify]: iters left: 4 (5 enodes) 124.023 * * [simplify]: iters left: 3 (19 enodes) 124.026 * * [simplify]: iters left: 2 (27 enodes) 124.030 * * [simplify]: iters left: 1 (32 enodes) 124.038 * * [simplify]: Extracting #0: cost 1 inf + 0 124.038 * * [simplify]: Extracting #1: cost 8 inf + 0 124.038 * * [simplify]: Extracting #2: cost 7 inf + 45 124.038 * * [simplify]: Extracting #3: cost 0 inf + 421 124.039 * [simplify]: Simplified to (* (* PI 2) n) 124.039 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.039 * * * * [progress]: [ 10 / 174 ] simplifiying candidate # 124.039 * [simplify]: Simplifying (cbrt (/ (+ 1 (sqrt k)) 1)) 124.039 * * [simplify]: iters left: 6 (6 enodes) 124.043 * * [simplify]: iters left: 5 (19 enodes) 124.048 * * [simplify]: iters left: 4 (21 enodes) 124.054 * * [simplify]: Extracting #0: cost 1 inf + 0 124.054 * * [simplify]: Extracting #1: cost 3 inf + 0 124.054 * * [simplify]: Extracting #2: cost 6 inf + 0 124.055 * * [simplify]: Extracting #3: cost 7 inf + 1 124.055 * * [simplify]: Extracting #4: cost 0 inf + 572 124.055 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 124.055 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (* (cbrt (/ (+ 1 (sqrt k)) 1)) (cbrt (/ (+ 1 (sqrt k)) 1)))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.055 * * * * [progress]: [ 11 / 174 ] simplifiying candidate # 124.055 * [simplify]: Simplifying (sqrt (/ (+ 1 (sqrt k)) 1)) 124.056 * * [simplify]: iters left: 6 (6 enodes) 124.059 * * [simplify]: iters left: 5 (19 enodes) 124.064 * * [simplify]: iters left: 4 (21 enodes) 124.070 * * [simplify]: Extracting #0: cost 1 inf + 0 124.071 * * [simplify]: Extracting #1: cost 3 inf + 0 124.071 * * [simplify]: Extracting #2: cost 6 inf + 0 124.071 * * [simplify]: Extracting #3: cost 7 inf + 1 124.071 * * [simplify]: Extracting #4: cost 0 inf + 492 124.071 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 124.071 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (sqrt (/ (+ 1 (sqrt k)) 1))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.071 * * * * [progress]: [ 12 / 174 ] simplifiying candidate # 124.072 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) (cbrt 1)) 124.072 * * [simplify]: iters left: 6 (7 enodes) 124.076 * * [simplify]: iters left: 5 (24 enodes) 124.084 * * [simplify]: iters left: 4 (26 enodes) 124.088 * * [simplify]: iters left: 3 (28 enodes) 124.092 * * [simplify]: Extracting #0: cost 1 inf + 0 124.092 * * [simplify]: Extracting #1: cost 4 inf + 0 124.092 * * [simplify]: Extracting #2: cost 5 inf + 1 124.092 * * [simplify]: Extracting #3: cost 7 inf + 1 124.092 * * [simplify]: Extracting #4: cost 0 inf + 572 124.092 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 124.092 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) (* (cbrt 1) (cbrt 1)))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.092 * * * * [progress]: [ 13 / 174 ] simplifiying candidate # 124.092 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) (sqrt 1)) 124.092 * * [simplify]: iters left: 6 (7 enodes) 124.094 * * [simplify]: iters left: 5 (24 enodes) 124.098 * * [simplify]: iters left: 4 (26 enodes) 124.102 * * [simplify]: iters left: 3 (28 enodes) 124.106 * * [simplify]: Extracting #0: cost 1 inf + 0 124.106 * * [simplify]: Extracting #1: cost 4 inf + 0 124.106 * * [simplify]: Extracting #2: cost 5 inf + 1 124.106 * * [simplify]: Extracting #3: cost 7 inf + 1 124.106 * * [simplify]: Extracting #4: cost 0 inf + 572 124.106 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 124.107 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) (sqrt 1))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.107 * * * * [progress]: [ 14 / 174 ] simplifiying candidate # 124.107 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) 1) 124.107 * * [simplify]: iters left: 6 (6 enodes) 124.108 * * [simplify]: iters left: 5 (19 enodes) 124.111 * * [simplify]: iters left: 4 (21 enodes) 124.115 * * [simplify]: Extracting #0: cost 1 inf + 0 124.115 * * [simplify]: Extracting #1: cost 4 inf + 0 124.115 * * [simplify]: Extracting #2: cost 5 inf + 1 124.115 * * [simplify]: Extracting #3: cost 7 inf + 1 124.115 * * [simplify]: Extracting #4: cost 0 inf + 572 124.115 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 124.115 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) 1)) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.115 * * * * [progress]: [ 15 / 174 ] simplifiying candidate # 124.115 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) (cbrt 1)) 124.115 * * [simplify]: iters left: 6 (7 enodes) 124.118 * * [simplify]: iters left: 5 (24 enodes) 124.126 * * [simplify]: iters left: 4 (26 enodes) 124.133 * * [simplify]: iters left: 3 (28 enodes) 124.140 * * [simplify]: Extracting #0: cost 1 inf + 0 124.140 * * [simplify]: Extracting #1: cost 4 inf + 0 124.140 * * [simplify]: Extracting #2: cost 5 inf + 1 124.140 * * [simplify]: Extracting #3: cost 7 inf + 1 124.140 * * [simplify]: Extracting #4: cost 0 inf + 492 124.140 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 124.140 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) (* (cbrt 1) (cbrt 1)))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.141 * * * * [progress]: [ 16 / 174 ] simplifiying candidate # 124.141 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) (sqrt 1)) 124.141 * * [simplify]: iters left: 6 (7 enodes) 124.145 * * [simplify]: iters left: 5 (24 enodes) 124.153 * * [simplify]: iters left: 4 (26 enodes) 124.160 * * [simplify]: iters left: 3 (28 enodes) 124.167 * * [simplify]: Extracting #0: cost 1 inf + 0 124.167 * * [simplify]: Extracting #1: cost 4 inf + 0 124.167 * * [simplify]: Extracting #2: cost 5 inf + 1 124.167 * * [simplify]: Extracting #3: cost 7 inf + 1 124.167 * * [simplify]: Extracting #4: cost 0 inf + 492 124.167 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 124.167 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) (sqrt 1))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.171 * * * * [progress]: [ 17 / 174 ] simplifiying candidate # 124.171 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) 1) 124.171 * * [simplify]: iters left: 6 (6 enodes) 124.175 * * [simplify]: iters left: 5 (19 enodes) 124.181 * * [simplify]: iters left: 4 (21 enodes) 124.187 * * [simplify]: Extracting #0: cost 1 inf + 0 124.187 * * [simplify]: Extracting #1: cost 4 inf + 0 124.187 * * [simplify]: Extracting #2: cost 5 inf + 1 124.187 * * [simplify]: Extracting #3: cost 7 inf + 1 124.188 * * [simplify]: Extracting #4: cost 0 inf + 492 124.188 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 124.188 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) 1)) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.188 * * * * [progress]: [ 18 / 174 ] simplifiying candidate # 124.188 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (cbrt 1)) 124.188 * * [simplify]: iters left: 5 (6 enodes) 124.193 * * [simplify]: iters left: 4 (21 enodes) 124.199 * * [simplify]: iters left: 3 (23 enodes) 124.206 * * [simplify]: iters left: 2 (25 enodes) 124.212 * * [simplify]: Extracting #0: cost 1 inf + 0 124.212 * * [simplify]: Extracting #1: cost 4 inf + 0 124.212 * * [simplify]: Extracting #2: cost 5 inf + 1 124.212 * * [simplify]: Extracting #3: cost 4 inf + 2 124.212 * * [simplify]: Extracting #4: cost 1 inf + 166 124.213 * * [simplify]: Extracting #5: cost 0 inf + 248 124.213 * [simplify]: Simplified to (+ 1 (sqrt k)) 124.213 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 1) (cbrt 1)))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.213 * * * * [progress]: [ 19 / 174 ] simplifiying candidate # 124.213 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (sqrt 1)) 124.213 * * [simplify]: iters left: 5 (6 enodes) 124.218 * * [simplify]: iters left: 4 (21 enodes) 124.221 * * [simplify]: iters left: 3 (23 enodes) 124.225 * * [simplify]: iters left: 2 (25 enodes) 124.228 * * [simplify]: Extracting #0: cost 1 inf + 0 124.228 * * [simplify]: Extracting #1: cost 4 inf + 0 124.229 * * [simplify]: Extracting #2: cost 5 inf + 1 124.229 * * [simplify]: Extracting #3: cost 4 inf + 2 124.229 * * [simplify]: Extracting #4: cost 1 inf + 166 124.229 * * [simplify]: Extracting #5: cost 0 inf + 248 124.229 * [simplify]: Simplified to (+ 1 (sqrt k)) 124.229 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 1))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.229 * * * * [progress]: [ 20 / 174 ] simplifiying candidate # 124.229 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 124.229 * * [simplify]: iters left: 5 (5 enodes) 124.231 * * [simplify]: iters left: 4 (16 enodes) 124.233 * * [simplify]: iters left: 3 (18 enodes) 124.236 * * [simplify]: Extracting #0: cost 1 inf + 0 124.236 * * [simplify]: Extracting #1: cost 4 inf + 0 124.236 * * [simplify]: Extracting #2: cost 5 inf + 1 124.236 * * [simplify]: Extracting #3: cost 1 inf + 166 124.236 * * [simplify]: Extracting #4: cost 0 inf + 248 124.236 * [simplify]: Simplified to (+ 1 (sqrt k)) 124.236 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ 1 1)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.236 * * * * [progress]: [ 21 / 174 ] simplifiying candidate # 124.237 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) (cbrt 1)) 124.237 * * [simplify]: iters left: 5 (7 enodes) 124.240 * * [simplify]: iters left: 4 (24 enodes) 124.243 * * [simplify]: iters left: 3 (26 enodes) 124.248 * * [simplify]: iters left: 2 (28 enodes) 124.254 * * [simplify]: Extracting #0: cost 1 inf + 0 124.254 * * [simplify]: Extracting #1: cost 4 inf + 0 124.254 * * [simplify]: Extracting #2: cost 5 inf + 1 124.254 * * [simplify]: Extracting #3: cost 4 inf + 2 124.254 * * [simplify]: Extracting #4: cost 1 inf + 166 124.255 * * [simplify]: Extracting #5: cost 0 inf + 248 124.255 * [simplify]: Simplified to (+ (sqrt k) 1) 124.255 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) (* (cbrt 1) (cbrt 1)))) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.255 * * * * [progress]: [ 22 / 174 ] simplifiying candidate # 124.255 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) (sqrt 1)) 124.255 * * [simplify]: iters left: 5 (6 enodes) 124.259 * * [simplify]: iters left: 4 (21 enodes) 124.265 * * [simplify]: iters left: 3 (23 enodes) 124.272 * * [simplify]: iters left: 2 (25 enodes) 124.278 * * [simplify]: Extracting #0: cost 1 inf + 0 124.278 * * [simplify]: Extracting #1: cost 4 inf + 0 124.279 * * [simplify]: Extracting #2: cost 5 inf + 1 124.279 * * [simplify]: Extracting #3: cost 1 inf + 166 124.279 * * [simplify]: Extracting #4: cost 0 inf + 248 124.279 * [simplify]: Simplified to (+ (sqrt k) 1) 124.279 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) (sqrt 1))) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.279 * * * * [progress]: [ 23 / 174 ] simplifiying candidate # 124.280 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) 1) 124.280 * * [simplify]: iters left: 5 (6 enodes) 124.283 * * [simplify]: iters left: 4 (19 enodes) 124.288 * * [simplify]: iters left: 3 (21 enodes) 124.294 * * [simplify]: Extracting #0: cost 1 inf + 0 124.294 * * [simplify]: Extracting #1: cost 4 inf + 0 124.294 * * [simplify]: Extracting #2: cost 5 inf + 1 124.295 * * [simplify]: Extracting #3: cost 0 inf + 248 124.295 * [simplify]: Simplified to (+ (sqrt k) 1) 124.295 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) 1)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.295 * * * * [progress]: [ 24 / 174 ] simplifiying candidate # 124.295 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (cbrt 1)) 124.295 * * [simplify]: iters left: 5 (6 enodes) 124.300 * * [simplify]: iters left: 4 (21 enodes) 124.310 * * [simplify]: iters left: 3 (23 enodes) 124.317 * * [simplify]: iters left: 2 (25 enodes) 124.323 * * [simplify]: Extracting #0: cost 1 inf + 0 124.323 * * [simplify]: Extracting #1: cost 4 inf + 0 124.323 * * [simplify]: Extracting #2: cost 5 inf + 1 124.323 * * [simplify]: Extracting #3: cost 4 inf + 2 124.323 * * [simplify]: Extracting #4: cost 1 inf + 166 124.323 * * [simplify]: Extracting #5: cost 0 inf + 248 124.323 * [simplify]: Simplified to (+ 1 (sqrt k)) 124.323 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 1) (cbrt 1)))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.324 * * * * [progress]: [ 25 / 174 ] simplifiying candidate # 124.324 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (sqrt 1)) 124.324 * * [simplify]: iters left: 5 (6 enodes) 124.329 * * [simplify]: iters left: 4 (21 enodes) 124.332 * * [simplify]: iters left: 3 (23 enodes) 124.336 * * [simplify]: iters left: 2 (25 enodes) 124.339 * * [simplify]: Extracting #0: cost 1 inf + 0 124.339 * * [simplify]: Extracting #1: cost 4 inf + 0 124.339 * * [simplify]: Extracting #2: cost 5 inf + 1 124.339 * * [simplify]: Extracting #3: cost 4 inf + 2 124.339 * * [simplify]: Extracting #4: cost 1 inf + 166 124.340 * * [simplify]: Extracting #5: cost 0 inf + 248 124.340 * [simplify]: Simplified to (+ 1 (sqrt k)) 124.340 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 1))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.340 * * * * [progress]: [ 26 / 174 ] simplifiying candidate # 124.340 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 124.340 * * [simplify]: iters left: 5 (5 enodes) 124.341 * * [simplify]: iters left: 4 (16 enodes) 124.344 * * [simplify]: iters left: 3 (18 enodes) 124.347 * * [simplify]: Extracting #0: cost 1 inf + 0 124.347 * * [simplify]: Extracting #1: cost 4 inf + 0 124.347 * * [simplify]: Extracting #2: cost 5 inf + 1 124.347 * * [simplify]: Extracting #3: cost 1 inf + 166 124.347 * * [simplify]: Extracting #4: cost 0 inf + 248 124.347 * [simplify]: Simplified to (+ 1 (sqrt k)) 124.347 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ 1 1)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.347 * * * * [progress]: [ 27 / 174 ] simplifiying candidate # 124.347 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 124.347 * * [simplify]: iters left: 5 (5 enodes) 124.349 * * [simplify]: iters left: 4 (16 enodes) 124.352 * * [simplify]: iters left: 3 (18 enodes) 124.355 * * [simplify]: Extracting #0: cost 1 inf + 0 124.355 * * [simplify]: Extracting #1: cost 4 inf + 0 124.355 * * [simplify]: Extracting #2: cost 5 inf + 1 124.355 * * [simplify]: Extracting #3: cost 1 inf + 166 124.355 * * [simplify]: Extracting #4: cost 0 inf + 248 124.355 * [simplify]: Simplified to (+ 1 (sqrt k)) 124.355 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) 1) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.355 * * * * [progress]: [ 28 / 174 ] simplifiying candidate # 124.355 * [simplify]: Simplifying (/ 1 1) 124.355 * * [simplify]: iters left: 2 (2 enodes) 124.356 * * [simplify]: iters left: 1 (6 enodes) 124.357 * * [simplify]: Extracting #0: cost 1 inf + 0 124.357 * * [simplify]: Extracting #1: cost 0 inf + 1 124.357 * [simplify]: Simplified to 1 124.357 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) 1) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.357 * * * * [progress]: [ 29 / 174 ] simplifiying candidate # 124.358 * [simplify]: Simplifying (pow n (/ (+ 1 (sqrt k)) 1)) 124.358 * * [simplify]: iters left: 6 (7 enodes) 124.360 * * [simplify]: iters left: 5 (26 enodes) 124.364 * * [simplify]: iters left: 4 (39 enodes) 124.375 * * [simplify]: iters left: 3 (65 enodes) 124.399 * * [simplify]: iters left: 2 (127 enodes) 124.447 * * [simplify]: iters left: 1 (258 enodes) 124.571 * * [simplify]: Extracting #0: cost 1 inf + 0 124.572 * * [simplify]: Extracting #1: cost 25 inf + 0 124.572 * * [simplify]: Extracting #2: cost 87 inf + 2 124.573 * * [simplify]: Extracting #3: cost 118 inf + 7 124.574 * * [simplify]: Extracting #4: cost 115 inf + 135 124.575 * * [simplify]: Extracting #5: cost 102 inf + 1871 124.579 * * [simplify]: Extracting #6: cost 66 inf + 11529 124.589 * * [simplify]: Extracting #7: cost 16 inf + 40218 124.602 * * [simplify]: Extracting #8: cost 0 inf + 52100 124.616 * [simplify]: Simplified to (pow n (+ 1 (sqrt k))) 124.616 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (pow n (+ 1 (sqrt k))) (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.616 * * * * [progress]: [ 30 / 174 ] simplifiying candidate # 124.617 * * * * [progress]: [ 31 / 174 ] simplifiying candidate # 124.617 * * * * [progress]: [ 32 / 174 ] simplifiying candidate # 124.617 * * * * [progress]: [ 33 / 174 ] simplifiying candidate # 124.617 * * * * [progress]: [ 34 / 174 ] simplifiying candidate # 124.617 * * * * [progress]: [ 35 / 174 ] simplifiying candidate # 124.617 * * * * [progress]: [ 36 / 174 ] simplifiying candidate # 124.617 * * * * [progress]: [ 37 / 174 ] simplifiying candidate # 124.617 * * * * [progress]: [ 38 / 174 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k))))> 124.617 * * * * [progress]: [ 39 / 174 ] simplifiying candidate # 124.617 * * * * [progress]: [ 40 / 174 ] simplifiying candidate # 124.617 * * * * [progress]: [ 41 / 174 ] simplifiying candidate # 124.618 * [simplify]: Simplifying (* (* (+ (log n) (+ (log 2) (log PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 124.618 * * [simplify]: iters left: 6 (17 enodes) 124.627 * * [simplify]: iters left: 5 (70 enodes) 124.651 * * [simplify]: iters left: 4 (136 enodes) 124.728 * * [simplify]: Extracting #0: cost 1 inf + 0 124.728 * * [simplify]: Extracting #1: cost 51 inf + 0 124.728 * * [simplify]: Extracting #2: cost 133 inf + 2 124.729 * * [simplify]: Extracting #3: cost 177 inf + 186 124.729 * * [simplify]: Extracting #4: cost 161 inf + 1831 124.732 * * [simplify]: Extracting #5: cost 80 inf + 21609 124.740 * * [simplify]: Extracting #6: cost 2 inf + 46935 124.753 * * [simplify]: Extracting #7: cost 0 inf + 47482 124.770 * [simplify]: Simplified to (* (fma (sqrt k) (+ (log n) (+ (log 2) (log PI))) (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 (sqrt k)) 2)) 124.770 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (* (fma (sqrt k) (+ (log n) (+ (log 2) (log PI))) (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 124.774 * * * * [progress]: [ 42 / 174 ] simplifiying candidate # 124.775 * [simplify]: Simplifying (* (* (+ (log n) (log (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 124.775 * * [simplify]: iters left: 6 (16 enodes) 124.785 * * [simplify]: iters left: 5 (68 enodes) 124.807 * * [simplify]: iters left: 4 (129 enodes) 124.859 * * [simplify]: iters left: 3 (431 enodes) 125.204 * * [simplify]: Extracting #0: cost 1 inf + 0 125.204 * * [simplify]: Extracting #1: cost 74 inf + 0 125.206 * * [simplify]: Extracting #2: cost 273 inf + 73 125.210 * * [simplify]: Extracting #3: cost 352 inf + 2789 125.225 * * [simplify]: Extracting #4: cost 189 inf + 43551 125.250 * * [simplify]: Extracting #5: cost 18 inf + 101314 125.288 * * [simplify]: Extracting #6: cost 0 inf + 108065 125.326 * * [simplify]: Extracting #7: cost 0 inf + 108062 125.362 * [simplify]: Simplified to (/ (- (fma (+ (log n) (log (* 2 PI))) (sqrt k) (+ (log n) (log (* 2 PI)))) (* (sqrt k) (fma (+ (log n) (log (* 2 PI))) (sqrt k) (+ (log n) (log (* 2 PI)))))) 2) 125.362 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (fma (+ (log n) (log (* 2 PI))) (sqrt k) (+ (log n) (log (* 2 PI)))) (* (sqrt k) (fma (+ (log n) (log (* 2 PI))) (sqrt k) (+ (log n) (log (* 2 PI)))))) 2)) (/ 1 (sqrt k)))) 125.362 * * * * [progress]: [ 43 / 174 ] simplifiying candidate # 125.362 * [simplify]: Simplifying (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 125.363 * * [simplify]: iters left: 6 (15 enodes) 125.368 * * [simplify]: iters left: 5 (67 enodes) 125.383 * * [simplify]: iters left: 4 (136 enodes) 125.452 * * [simplify]: iters left: 3 (403 enodes) 125.753 * * [simplify]: Extracting #0: cost 1 inf + 0 125.753 * * [simplify]: Extracting #1: cost 68 inf + 0 125.754 * * [simplify]: Extracting #2: cost 251 inf + 2 125.756 * * [simplify]: Extracting #3: cost 332 inf + 3858 125.762 * * [simplify]: Extracting #4: cost 207 inf + 31298 125.777 * * [simplify]: Extracting #5: cost 56 inf + 73522 125.805 * * [simplify]: Extracting #6: cost 0 inf + 92557 125.826 * [simplify]: Simplified to (/ (- (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (* (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (sqrt k))) 2) 125.826 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (* (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (sqrt k))) 2)) (/ 1 (sqrt k)))) 125.827 * * * * [progress]: [ 44 / 174 ] simplifiying candidate # 125.827 * [simplify]: Simplifying (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 125.827 * * [simplify]: iters left: 6 (15 enodes) 125.832 * * [simplify]: iters left: 5 (67 enodes) 125.844 * * [simplify]: iters left: 4 (136 enodes) 125.880 * * [simplify]: iters left: 3 (403 enodes) 126.184 * * [simplify]: Extracting #0: cost 1 inf + 0 126.184 * * [simplify]: Extracting #1: cost 68 inf + 0 126.185 * * [simplify]: Extracting #2: cost 251 inf + 2 126.187 * * [simplify]: Extracting #3: cost 332 inf + 3858 126.193 * * [simplify]: Extracting #4: cost 207 inf + 31298 126.212 * * [simplify]: Extracting #5: cost 56 inf + 73522 126.233 * * [simplify]: Extracting #6: cost 0 inf + 92557 126.255 * [simplify]: Simplified to (/ (- (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (* (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (sqrt k))) 2) 126.255 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (* (fma (sqrt k) (log (* (* PI 2) n)) (log (* (* PI 2) n))) (sqrt k))) 2)) (/ 1 (sqrt k)))) 126.255 * * * * [progress]: [ 45 / 174 ] simplifiying candidate # 126.255 * [simplify]: Simplifying (* (log (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 126.255 * * [simplify]: iters left: 6 (15 enodes) 126.260 * * [simplify]: iters left: 5 (64 enodes) 126.272 * * [simplify]: iters left: 4 (120 enodes) 126.312 * * [simplify]: iters left: 3 (295 enodes) 126.508 * * [simplify]: Extracting #0: cost 1 inf + 0 126.508 * * [simplify]: Extracting #1: cost 56 inf + 0 126.509 * * [simplify]: Extracting #2: cost 241 inf + 2 126.510 * * [simplify]: Extracting #3: cost 336 inf + 1293 126.513 * * [simplify]: Extracting #4: cost 272 inf + 14466 126.524 * * [simplify]: Extracting #5: cost 59 inf + 68111 126.542 * * [simplify]: Extracting #6: cost 2 inf + 88489 126.574 * * [simplify]: Extracting #7: cost 0 inf + 89265 126.611 * * [simplify]: Extracting #8: cost 0 inf + 88986 126.629 * * [simplify]: Extracting #9: cost 0 inf + 88945 126.650 * [simplify]: Simplified to (/ (- (fma (log (* (* PI 2) n)) (sqrt k) (log (* (* PI 2) n))) (* (fma (log (* (* PI 2) n)) (sqrt k) (log (* (* PI 2) n))) (sqrt k))) 2) 126.650 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (fma (log (* (* PI 2) n)) (sqrt k) (log (* (* PI 2) n))) (* (fma (log (* (* PI 2) n)) (sqrt k) (log (* (* PI 2) n))) (sqrt k))) 2)) (/ 1 (sqrt k)))) 126.651 * * * * [progress]: [ 46 / 174 ] simplifiying candidate # 126.651 * * * * [progress]: [ 47 / 174 ] simplifiying candidate # 126.651 * [simplify]: Simplifying (* n (* 2 PI)) 126.651 * * [simplify]: iters left: 4 (5 enodes) 126.654 * * [simplify]: iters left: 3 (19 enodes) 126.660 * * [simplify]: iters left: 2 (27 enodes) 126.664 * * [simplify]: iters left: 1 (32 enodes) 126.668 * * [simplify]: Extracting #0: cost 1 inf + 0 126.668 * * [simplify]: Extracting #1: cost 8 inf + 0 126.668 * * [simplify]: Extracting #2: cost 7 inf + 45 126.669 * * [simplify]: Extracting #3: cost 0 inf + 421 126.669 * [simplify]: Simplified to (* (* PI 2) n) 126.669 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* (/ (+ 1 (sqrt k)) 1) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 126.669 * * * * [progress]: [ 48 / 174 ] simplifiying candidate # 126.669 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt k) 2)) 126.669 * * [simplify]: iters left: 6 (13 enodes) 126.675 * * [simplify]: iters left: 5 (50 enodes) 126.683 * * [simplify]: iters left: 4 (81 enodes) 126.702 * * [simplify]: iters left: 3 (136 enodes) 126.736 * * [simplify]: iters left: 2 (257 enodes) 126.803 * * [simplify]: Extracting #0: cost 1 inf + 0 126.803 * * [simplify]: Extracting #1: cost 13 inf + 0 126.804 * * [simplify]: Extracting #2: cost 63 inf + 1 126.804 * * [simplify]: Extracting #3: cost 125 inf + 5 126.805 * * [simplify]: Extracting #4: cost 133 inf + 548 126.809 * * [simplify]: Extracting #5: cost 81 inf + 9336 126.818 * * [simplify]: Extracting #6: cost 27 inf + 36849 126.826 * * [simplify]: Extracting #7: cost 0 inf + 60464 126.834 * * [simplify]: Extracting #8: cost 0 inf + 60204 126.841 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (sqrt k) 2)) 126.841 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 2)) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (sqrt k) 2))) (/ 1 (sqrt k)))) 126.842 * * * * [progress]: [ 49 / 174 ] simplifiying candidate # 126.842 * [simplify]: Simplifying (cbrt (/ (- 1 (sqrt k)) 2)) 126.842 * * [simplify]: iters left: 6 (7 enodes) 126.845 * * [simplify]: iters left: 5 (29 enodes) 126.850 * * [simplify]: iters left: 4 (38 enodes) 126.858 * * [simplify]: Extracting #0: cost 1 inf + 0 126.858 * * [simplify]: Extracting #1: cost 3 inf + 0 126.858 * * [simplify]: Extracting #2: cost 8 inf + 0 126.858 * * [simplify]: Extracting #3: cost 11 inf + 2 126.858 * * [simplify]: Extracting #4: cost 13 inf + 3 126.859 * * [simplify]: Extracting #5: cost 12 inf + 4 126.859 * * [simplify]: Extracting #6: cost 3 inf + 740 126.859 * * [simplify]: Extracting #7: cost 0 inf + 1228 126.860 * [simplify]: Simplified to (cbrt (- 1/2 (/ (sqrt k) 2))) 126.860 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (* (cbrt (/ (- 1 (sqrt k)) 2)) (cbrt (/ (- 1 (sqrt k)) 2)))) (cbrt (- 1/2 (/ (sqrt k) 2)))) (/ 1 (sqrt k)))) 126.860 * * * * [progress]: [ 50 / 174 ] simplifiying candidate # 126.860 * [simplify]: Simplifying (sqrt (/ (- 1 (sqrt k)) 2)) 126.860 * * [simplify]: iters left: 6 (7 enodes) 126.865 * * [simplify]: iters left: 5 (29 enodes) 126.880 * * [simplify]: iters left: 4 (38 enodes) 126.891 * * [simplify]: Extracting #0: cost 1 inf + 0 126.892 * * [simplify]: Extracting #1: cost 3 inf + 0 126.892 * * [simplify]: Extracting #2: cost 8 inf + 0 126.892 * * [simplify]: Extracting #3: cost 11 inf + 2 126.892 * * [simplify]: Extracting #4: cost 13 inf + 3 126.892 * * [simplify]: Extracting #5: cost 12 inf + 4 126.892 * * [simplify]: Extracting #6: cost 3 inf + 740 126.893 * * [simplify]: Extracting #7: cost 0 inf + 1148 126.893 * [simplify]: Simplified to (sqrt (- 1/2 (/ (sqrt k) 2))) 126.893 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (sqrt (/ (- 1 (sqrt k)) 2))) (sqrt (- 1/2 (/ (sqrt k) 2)))) (/ 1 (sqrt k)))) 126.893 * * * * [progress]: [ 51 / 174 ] simplifiying candidate # 126.894 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) (cbrt 2)) 126.894 * * [simplify]: iters left: 6 (8 enodes) 126.899 * * [simplify]: iters left: 5 (28 enodes) 126.908 * * [simplify]: iters left: 4 (33 enodes) 126.918 * * [simplify]: Extracting #0: cost 1 inf + 0 126.918 * * [simplify]: Extracting #1: cost 4 inf + 0 126.918 * * [simplify]: Extracting #2: cost 8 inf + 0 126.918 * * [simplify]: Extracting #3: cost 9 inf + 163 126.918 * * [simplify]: Extracting #4: cost 11 inf + 164 126.918 * * [simplify]: Extracting #5: cost 10 inf + 165 126.918 * * [simplify]: Extracting #6: cost 5 inf + 491 126.919 * * [simplify]: Extracting #7: cost 0 inf + 1463 126.919 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) (cbrt 2)) 126.919 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 (sqrt k))) (cbrt 2))) (/ 1 (sqrt k)))) 126.919 * * * * [progress]: [ 52 / 174 ] simplifiying candidate # 126.920 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) (sqrt 2)) 126.920 * * [simplify]: iters left: 6 (8 enodes) 126.924 * * [simplify]: iters left: 5 (28 enodes) 126.931 * * [simplify]: iters left: 4 (33 enodes) 126.937 * * [simplify]: Extracting #0: cost 1 inf + 0 126.937 * * [simplify]: Extracting #1: cost 4 inf + 0 126.937 * * [simplify]: Extracting #2: cost 8 inf + 0 126.937 * * [simplify]: Extracting #3: cost 9 inf + 83 126.937 * * [simplify]: Extracting #4: cost 11 inf + 84 126.937 * * [simplify]: Extracting #5: cost 10 inf + 85 126.937 * * [simplify]: Extracting #6: cost 5 inf + 411 126.937 * * [simplify]: Extracting #7: cost 0 inf + 1303 126.937 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) (sqrt 2)) 126.937 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) (sqrt 2))) (/ (cbrt (- 1 (sqrt k))) (sqrt 2))) (/ 1 (sqrt k)))) 126.937 * * * * [progress]: [ 53 / 174 ] simplifiying candidate # 126.938 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) 2) 126.938 * * [simplify]: iters left: 6 (7 enodes) 126.940 * * [simplify]: iters left: 5 (25 enodes) 126.944 * * [simplify]: iters left: 4 (30 enodes) 126.949 * * [simplify]: Extracting #0: cost 1 inf + 0 126.950 * * [simplify]: Extracting #1: cost 4 inf + 0 126.950 * * [simplify]: Extracting #2: cost 5 inf + 1 126.950 * * [simplify]: Extracting #3: cost 9 inf + 1 126.950 * * [simplify]: Extracting #4: cost 11 inf + 2 126.950 * * [simplify]: Extracting #5: cost 10 inf + 3 126.950 * * [simplify]: Extracting #6: cost 5 inf + 330 126.950 * * [simplify]: Extracting #7: cost 2 inf + 776 126.950 * * [simplify]: Extracting #8: cost 0 inf + 1141 126.950 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) 2) 126.950 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) 1)) (/ (cbrt (- 1 (sqrt k))) 2)) (/ 1 (sqrt k)))) 126.950 * * * * [progress]: [ 54 / 174 ] simplifiying candidate # 126.951 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) (cbrt 2)) 126.951 * * [simplify]: iters left: 6 (8 enodes) 126.953 * * [simplify]: iters left: 5 (28 enodes) 126.957 * * [simplify]: iters left: 4 (33 enodes) 126.962 * * [simplify]: Extracting #0: cost 1 inf + 0 126.962 * * [simplify]: Extracting #1: cost 4 inf + 0 126.962 * * [simplify]: Extracting #2: cost 8 inf + 0 126.963 * * [simplify]: Extracting #3: cost 9 inf + 163 126.963 * * [simplify]: Extracting #4: cost 11 inf + 164 126.963 * * [simplify]: Extracting #5: cost 10 inf + 165 126.963 * * [simplify]: Extracting #6: cost 5 inf + 491 126.963 * * [simplify]: Extracting #7: cost 0 inf + 1303 126.963 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) (cbrt 2)) 126.963 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 (sqrt k))) (cbrt 2))) (/ 1 (sqrt k)))) 126.963 * * * * [progress]: [ 55 / 174 ] simplifiying candidate # 126.963 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) (sqrt 2)) 126.964 * * [simplify]: iters left: 6 (8 enodes) 126.966 * * [simplify]: iters left: 5 (28 enodes) 126.970 * * [simplify]: iters left: 4 (33 enodes) 126.977 * * [simplify]: Extracting #0: cost 1 inf + 0 126.977 * * [simplify]: Extracting #1: cost 4 inf + 0 126.978 * * [simplify]: Extracting #2: cost 8 inf + 0 126.978 * * [simplify]: Extracting #3: cost 9 inf + 83 126.978 * * [simplify]: Extracting #4: cost 11 inf + 84 126.978 * * [simplify]: Extracting #5: cost 10 inf + 85 126.978 * * [simplify]: Extracting #6: cost 5 inf + 411 126.978 * * [simplify]: Extracting #7: cost 0 inf + 1143 126.979 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) (sqrt 2)) 126.979 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) (sqrt 2))) (/ (sqrt (- 1 (sqrt k))) (sqrt 2))) (/ 1 (sqrt k)))) 126.979 * * * * [progress]: [ 56 / 174 ] simplifiying candidate # 126.979 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) 2) 126.979 * * [simplify]: iters left: 6 (7 enodes) 126.984 * * [simplify]: iters left: 5 (25 enodes) 126.994 * * [simplify]: iters left: 4 (30 enodes) 126.999 * * [simplify]: Extracting #0: cost 1 inf + 0 126.999 * * [simplify]: Extracting #1: cost 4 inf + 0 126.999 * * [simplify]: Extracting #2: cost 5 inf + 1 126.999 * * [simplify]: Extracting #3: cost 9 inf + 1 126.999 * * [simplify]: Extracting #4: cost 11 inf + 2 126.999 * * [simplify]: Extracting #5: cost 10 inf + 3 126.999 * * [simplify]: Extracting #6: cost 5 inf + 330 126.999 * * [simplify]: Extracting #7: cost 2 inf + 696 126.999 * * [simplify]: Extracting #8: cost 0 inf + 981 126.999 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) 2) 126.999 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) 1)) (/ (sqrt (- 1 (sqrt k))) 2)) (/ 1 (sqrt k)))) 127.000 * * * * [progress]: [ 57 / 174 ] simplifiying candidate # 127.000 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 127.000 * * [simplify]: iters left: 5 (7 enodes) 127.002 * * [simplify]: iters left: 4 (28 enodes) 127.007 * * [simplify]: iters left: 3 (39 enodes) 127.013 * * [simplify]: iters left: 2 (43 enodes) 127.019 * * [simplify]: Extracting #0: cost 1 inf + 0 127.019 * * [simplify]: Extracting #1: cost 7 inf + 0 127.019 * * [simplify]: Extracting #2: cost 16 inf + 0 127.019 * * [simplify]: Extracting #3: cost 15 inf + 164 127.020 * * [simplify]: Extracting #4: cost 13 inf + 287 127.020 * * [simplify]: Extracting #5: cost 5 inf + 1180 127.020 * * [simplify]: Extracting #6: cost 0 inf + 1951 127.020 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 127.020 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k)))) 127.020 * * * * [progress]: [ 58 / 174 ] simplifiying candidate # 127.021 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 127.021 * * [simplify]: iters left: 5 (7 enodes) 127.023 * * [simplify]: iters left: 4 (28 enodes) 127.028 * * [simplify]: iters left: 3 (39 enodes) 127.034 * * [simplify]: iters left: 2 (43 enodes) 127.044 * * [simplify]: Extracting #0: cost 1 inf + 0 127.044 * * [simplify]: Extracting #1: cost 7 inf + 0 127.044 * * [simplify]: Extracting #2: cost 16 inf + 0 127.045 * * [simplify]: Extracting #3: cost 15 inf + 84 127.045 * * [simplify]: Extracting #4: cost 13 inf + 167 127.045 * * [simplify]: Extracting #5: cost 5 inf + 900 127.046 * * [simplify]: Extracting #6: cost 0 inf + 1551 127.046 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 127.046 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k)))) 127.046 * * * * [progress]: [ 59 / 174 ] simplifiying candidate # 127.047 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 127.047 * * [simplify]: iters left: 5 (6 enodes) 127.051 * * [simplify]: iters left: 4 (26 enodes) 127.059 * * [simplify]: iters left: 3 (35 enodes) 127.064 * * [simplify]: Extracting #0: cost 1 inf + 0 127.064 * * [simplify]: Extracting #1: cost 6 inf + 0 127.064 * * [simplify]: Extracting #2: cost 9 inf + 2 127.064 * * [simplify]: Extracting #3: cost 11 inf + 3 127.064 * * [simplify]: Extracting #4: cost 10 inf + 4 127.064 * * [simplify]: Extracting #5: cost 3 inf + 535 127.065 * * [simplify]: Extracting #6: cost 0 inf + 822 127.065 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 127.065 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 127.065 * * * * [progress]: [ 60 / 174 ] simplifiying candidate # 127.065 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (cbrt 2)) 127.065 * * [simplify]: iters left: 6 (9 enodes) 127.068 * * [simplify]: iters left: 5 (34 enodes) 127.074 * * [simplify]: iters left: 4 (48 enodes) 127.081 * * [simplify]: iters left: 3 (54 enodes) 127.093 * * [simplify]: iters left: 2 (55 enodes) 127.107 * * [simplify]: iters left: 1 (56 enodes) 127.123 * * [simplify]: Extracting #0: cost 1 inf + 0 127.123 * * [simplify]: Extracting #1: cost 8 inf + 0 127.123 * * [simplify]: Extracting #2: cost 18 inf + 0 127.123 * * [simplify]: Extracting #3: cost 17 inf + 164 127.123 * * [simplify]: Extracting #4: cost 16 inf + 530 127.123 * * [simplify]: Extracting #5: cost 12 inf + 735 127.124 * * [simplify]: Extracting #6: cost 4 inf + 1787 127.125 * * [simplify]: Extracting #7: cost 1 inf + 2515 127.126 * * [simplify]: Extracting #8: cost 0 inf + 2757 127.127 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 127.127 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2))) (/ 1 (sqrt k)))) 127.127 * * * * [progress]: [ 61 / 174 ] simplifiying candidate # 127.127 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (sqrt 2)) 127.127 * * [simplify]: iters left: 6 (9 enodes) 127.134 * * [simplify]: iters left: 5 (34 enodes) 127.146 * * [simplify]: iters left: 4 (48 enodes) 127.160 * * [simplify]: iters left: 3 (54 enodes) 127.173 * * [simplify]: iters left: 2 (55 enodes) 127.180 * * [simplify]: iters left: 1 (56 enodes) 127.188 * * [simplify]: Extracting #0: cost 1 inf + 0 127.188 * * [simplify]: Extracting #1: cost 8 inf + 0 127.188 * * [simplify]: Extracting #2: cost 18 inf + 0 127.188 * * [simplify]: Extracting #3: cost 17 inf + 84 127.188 * * [simplify]: Extracting #4: cost 16 inf + 330 127.188 * * [simplify]: Extracting #5: cost 12 inf + 495 127.188 * * [simplify]: Extracting #6: cost 4 inf + 1467 127.189 * * [simplify]: Extracting #7: cost 1 inf + 2075 127.189 * * [simplify]: Extracting #8: cost 0 inf + 2277 127.190 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 127.190 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2))) (/ 1 (sqrt k)))) 127.190 * * * * [progress]: [ 62 / 174 ] simplifiying candidate # 127.190 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) 2) 127.190 * * [simplify]: iters left: 6 (8 enodes) 127.192 * * [simplify]: iters left: 5 (31 enodes) 127.199 * * [simplify]: iters left: 4 (46 enodes) 127.216 * * [simplify]: iters left: 3 (49 enodes) 127.229 * * [simplify]: Extracting #0: cost 1 inf + 0 127.229 * * [simplify]: Extracting #1: cost 7 inf + 0 127.229 * * [simplify]: Extracting #2: cost 11 inf + 2 127.229 * * [simplify]: Extracting #3: cost 13 inf + 3 127.229 * * [simplify]: Extracting #4: cost 15 inf + 3 127.229 * * [simplify]: Extracting #5: cost 13 inf + 45 127.229 * * [simplify]: Extracting #6: cost 5 inf + 898 127.230 * * [simplify]: Extracting #7: cost 0 inf + 1628 127.231 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 127.231 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2)) (/ 1 (sqrt k)))) 127.231 * * * * [progress]: [ 63 / 174 ] simplifiying candidate # 127.231 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (cbrt 2)) 127.231 * * [simplify]: iters left: 6 (9 enodes) 127.237 * * [simplify]: iters left: 5 (34 enodes) 127.248 * * [simplify]: iters left: 4 (48 enodes) 127.260 * * [simplify]: iters left: 3 (54 enodes) 127.268 * * [simplify]: iters left: 2 (55 enodes) 127.277 * * [simplify]: iters left: 1 (56 enodes) 127.285 * * [simplify]: Extracting #0: cost 1 inf + 0 127.285 * * [simplify]: Extracting #1: cost 8 inf + 0 127.285 * * [simplify]: Extracting #2: cost 18 inf + 0 127.286 * * [simplify]: Extracting #3: cost 17 inf + 164 127.286 * * [simplify]: Extracting #4: cost 16 inf + 530 127.286 * * [simplify]: Extracting #5: cost 12 inf + 735 127.286 * * [simplify]: Extracting #6: cost 4 inf + 1787 127.286 * * [simplify]: Extracting #7: cost 1 inf + 2515 127.287 * * [simplify]: Extracting #8: cost 0 inf + 2757 127.287 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 127.287 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2))) (/ 1 (sqrt k)))) 127.287 * * * * [progress]: [ 64 / 174 ] simplifiying candidate # 127.288 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (sqrt 2)) 127.288 * * [simplify]: iters left: 6 (9 enodes) 127.291 * * [simplify]: iters left: 5 (34 enodes) 127.297 * * [simplify]: iters left: 4 (48 enodes) 127.304 * * [simplify]: iters left: 3 (54 enodes) 127.312 * * [simplify]: iters left: 2 (55 enodes) 127.324 * * [simplify]: iters left: 1 (56 enodes) 127.332 * * [simplify]: Extracting #0: cost 1 inf + 0 127.332 * * [simplify]: Extracting #1: cost 8 inf + 0 127.332 * * [simplify]: Extracting #2: cost 18 inf + 0 127.332 * * [simplify]: Extracting #3: cost 17 inf + 84 127.332 * * [simplify]: Extracting #4: cost 16 inf + 330 127.332 * * [simplify]: Extracting #5: cost 12 inf + 495 127.332 * * [simplify]: Extracting #6: cost 4 inf + 1467 127.333 * * [simplify]: Extracting #7: cost 1 inf + 2075 127.333 * * [simplify]: Extracting #8: cost 0 inf + 2277 127.333 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 127.334 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2))) (/ 1 (sqrt k)))) 127.334 * * * * [progress]: [ 65 / 174 ] simplifiying candidate # 127.334 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) 2) 127.334 * * [simplify]: iters left: 6 (8 enodes) 127.336 * * [simplify]: iters left: 5 (31 enodes) 127.342 * * [simplify]: iters left: 4 (46 enodes) 127.349 * * [simplify]: iters left: 3 (49 enodes) 127.355 * * [simplify]: Extracting #0: cost 1 inf + 0 127.355 * * [simplify]: Extracting #1: cost 7 inf + 0 127.355 * * [simplify]: Extracting #2: cost 11 inf + 2 127.355 * * [simplify]: Extracting #3: cost 13 inf + 3 127.355 * * [simplify]: Extracting #4: cost 15 inf + 3 127.356 * * [simplify]: Extracting #5: cost 13 inf + 45 127.356 * * [simplify]: Extracting #6: cost 5 inf + 898 127.356 * * [simplify]: Extracting #7: cost 0 inf + 1628 127.356 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 127.356 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2)) (/ 1 (sqrt k)))) 127.356 * * * * [progress]: [ 66 / 174 ] simplifiying candidate # 127.357 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 127.357 * * [simplify]: iters left: 6 (8 enodes) 127.359 * * [simplify]: iters left: 5 (31 enodes) 127.364 * * [simplify]: iters left: 4 (42 enodes) 127.377 * * [simplify]: iters left: 3 (46 enodes) 127.390 * * [simplify]: Extracting #0: cost 1 inf + 0 127.390 * * [simplify]: Extracting #1: cost 7 inf + 0 127.390 * * [simplify]: Extracting #2: cost 16 inf + 0 127.390 * * [simplify]: Extracting #3: cost 17 inf + 2 127.391 * * [simplify]: Extracting #4: cost 15 inf + 408 127.391 * * [simplify]: Extracting #5: cost 14 inf + 409 127.391 * * [simplify]: Extracting #6: cost 9 inf + 975 127.392 * * [simplify]: Extracting #7: cost 1 inf + 2270 127.392 * * [simplify]: Extracting #8: cost 0 inf + 2513 127.393 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 127.393 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2))) (/ 1 (sqrt k)))) 127.393 * * * * [progress]: [ 67 / 174 ] simplifiying candidate # 127.394 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 127.394 * * [simplify]: iters left: 6 (8 enodes) 127.399 * * [simplify]: iters left: 5 (31 enodes) 127.409 * * [simplify]: iters left: 4 (42 enodes) 127.421 * * [simplify]: iters left: 3 (46 enodes) 127.435 * * [simplify]: Extracting #0: cost 1 inf + 0 127.435 * * [simplify]: Extracting #1: cost 7 inf + 0 127.435 * * [simplify]: Extracting #2: cost 16 inf + 0 127.436 * * [simplify]: Extracting #3: cost 17 inf + 2 127.436 * * [simplify]: Extracting #4: cost 15 inf + 248 127.436 * * [simplify]: Extracting #5: cost 14 inf + 249 127.436 * * [simplify]: Extracting #6: cost 9 inf + 775 127.442 * * [simplify]: Extracting #7: cost 1 inf + 1910 127.443 * * [simplify]: Extracting #8: cost 0 inf + 2113 127.443 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 127.444 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2))) (/ 1 (sqrt k)))) 127.444 * * * * [progress]: [ 68 / 174 ] simplifiying candidate # 127.444 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) 2) 127.444 * * [simplify]: iters left: 6 (7 enodes) 127.449 * * [simplify]: iters left: 5 (29 enodes) 127.458 * * [simplify]: iters left: 4 (38 enodes) 127.469 * * [simplify]: Extracting #0: cost 1 inf + 0 127.470 * * [simplify]: Extracting #1: cost 6 inf + 0 127.470 * * [simplify]: Extracting #2: cost 9 inf + 2 127.470 * * [simplify]: Extracting #3: cost 11 inf + 3 127.470 * * [simplify]: Extracting #4: cost 13 inf + 3 127.470 * * [simplify]: Extracting #5: cost 12 inf + 4 127.470 * * [simplify]: Extracting #6: cost 9 inf + 167 127.470 * * [simplify]: Extracting #7: cost 0 inf + 1304 127.470 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 127.470 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2)) (/ 1 (sqrt k)))) 127.470 * * * * [progress]: [ 69 / 174 ] simplifiying candidate # 127.471 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 127.471 * * [simplify]: iters left: 6 (8 enodes) 127.474 * * [simplify]: iters left: 5 (31 enodes) 127.479 * * [simplify]: iters left: 4 (42 enodes) 127.486 * * [simplify]: iters left: 3 (46 enodes) 127.493 * * [simplify]: Extracting #0: cost 1 inf + 0 127.493 * * [simplify]: Extracting #1: cost 7 inf + 0 127.493 * * [simplify]: Extracting #2: cost 16 inf + 0 127.493 * * [simplify]: Extracting #3: cost 17 inf + 2 127.493 * * [simplify]: Extracting #4: cost 15 inf + 408 127.493 * * [simplify]: Extracting #5: cost 14 inf + 409 127.493 * * [simplify]: Extracting #6: cost 9 inf + 975 127.494 * * [simplify]: Extracting #7: cost 1 inf + 2270 127.494 * * [simplify]: Extracting #8: cost 0 inf + 2513 127.494 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 127.494 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2))) (/ 1 (sqrt k)))) 127.495 * * * * [progress]: [ 70 / 174 ] simplifiying candidate # 127.495 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 127.495 * * [simplify]: iters left: 6 (8 enodes) 127.497 * * [simplify]: iters left: 5 (31 enodes) 127.503 * * [simplify]: iters left: 4 (42 enodes) 127.509 * * [simplify]: iters left: 3 (46 enodes) 127.516 * * [simplify]: Extracting #0: cost 1 inf + 0 127.516 * * [simplify]: Extracting #1: cost 7 inf + 0 127.516 * * [simplify]: Extracting #2: cost 16 inf + 0 127.516 * * [simplify]: Extracting #3: cost 17 inf + 2 127.516 * * [simplify]: Extracting #4: cost 15 inf + 248 127.516 * * [simplify]: Extracting #5: cost 14 inf + 249 127.517 * * [simplify]: Extracting #6: cost 9 inf + 775 127.517 * * [simplify]: Extracting #7: cost 1 inf + 1910 127.517 * * [simplify]: Extracting #8: cost 0 inf + 2113 127.518 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 127.518 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2))) (/ 1 (sqrt k)))) 127.518 * * * * [progress]: [ 71 / 174 ] simplifiying candidate # 127.518 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) 2) 127.518 * * [simplify]: iters left: 6 (7 enodes) 127.520 * * [simplify]: iters left: 5 (29 enodes) 127.525 * * [simplify]: iters left: 4 (38 enodes) 127.531 * * [simplify]: Extracting #0: cost 1 inf + 0 127.531 * * [simplify]: Extracting #1: cost 6 inf + 0 127.531 * * [simplify]: Extracting #2: cost 9 inf + 2 127.531 * * [simplify]: Extracting #3: cost 11 inf + 3 127.531 * * [simplify]: Extracting #4: cost 13 inf + 3 127.531 * * [simplify]: Extracting #5: cost 12 inf + 4 127.531 * * [simplify]: Extracting #6: cost 9 inf + 167 127.531 * * [simplify]: Extracting #7: cost 0 inf + 1304 127.531 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 127.531 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2)) (/ 1 (sqrt k)))) 127.531 * * * * [progress]: [ 72 / 174 ] simplifiying candidate # 127.532 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 127.532 * * [simplify]: iters left: 5 (8 enodes) 127.534 * * [simplify]: iters left: 4 (31 enodes) 127.542 * * [simplify]: iters left: 3 (45 enodes) 127.548 * * [simplify]: iters left: 2 (51 enodes) 127.556 * * [simplify]: iters left: 1 (52 enodes) 127.563 * * [simplify]: Extracting #0: cost 1 inf + 0 127.563 * * [simplify]: Extracting #1: cost 8 inf + 0 127.563 * * [simplify]: Extracting #2: cost 18 inf + 0 127.563 * * [simplify]: Extracting #3: cost 19 inf + 2 127.563 * * [simplify]: Extracting #4: cost 9 inf + 977 127.563 * * [simplify]: Extracting #5: cost 2 inf + 1790 127.564 * * [simplify]: Extracting #6: cost 0 inf + 2195 127.564 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 127.564 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k)))) 127.564 * * * * [progress]: [ 73 / 174 ] simplifiying candidate # 127.564 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 127.564 * * [simplify]: iters left: 5 (8 enodes) 127.570 * * [simplify]: iters left: 4 (31 enodes) 127.580 * * [simplify]: iters left: 3 (45 enodes) 127.592 * * [simplify]: iters left: 2 (51 enodes) 127.606 * * [simplify]: iters left: 1 (52 enodes) 127.622 * * [simplify]: Extracting #0: cost 1 inf + 0 127.622 * * [simplify]: Extracting #1: cost 8 inf + 0 127.622 * * [simplify]: Extracting #2: cost 18 inf + 0 127.622 * * [simplify]: Extracting #3: cost 19 inf + 2 127.623 * * [simplify]: Extracting #4: cost 9 inf + 697 127.623 * * [simplify]: Extracting #5: cost 2 inf + 1390 127.624 * * [simplify]: Extracting #6: cost 0 inf + 1715 127.625 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 127.625 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k)))) 127.625 * * * * [progress]: [ 74 / 174 ] simplifiying candidate # 127.625 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 127.625 * * [simplify]: iters left: 5 (7 enodes) 127.630 * * [simplify]: iters left: 4 (29 enodes) 127.635 * * [simplify]: iters left: 3 (43 enodes) 127.642 * * [simplify]: iters left: 2 (47 enodes) 127.648 * * [simplify]: Extracting #0: cost 1 inf + 0 127.648 * * [simplify]: Extracting #1: cost 7 inf + 0 127.648 * * [simplify]: Extracting #2: cost 11 inf + 2 127.648 * * [simplify]: Extracting #3: cost 13 inf + 3 127.648 * * [simplify]: Extracting #4: cost 11 inf + 45 127.649 * * [simplify]: Extracting #5: cost 0 inf + 1066 127.649 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 127.649 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 127.649 * * * * [progress]: [ 75 / 174 ] simplifiying candidate # 127.649 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 127.649 * * [simplify]: iters left: 5 (7 enodes) 127.655 * * [simplify]: iters left: 4 (28 enodes) 127.660 * * [simplify]: iters left: 3 (39 enodes) 127.666 * * [simplify]: iters left: 2 (43 enodes) 127.680 * * [simplify]: Extracting #0: cost 1 inf + 0 127.680 * * [simplify]: Extracting #1: cost 7 inf + 0 127.680 * * [simplify]: Extracting #2: cost 16 inf + 0 127.680 * * [simplify]: Extracting #3: cost 15 inf + 164 127.680 * * [simplify]: Extracting #4: cost 13 inf + 287 127.680 * * [simplify]: Extracting #5: cost 5 inf + 1180 127.681 * * [simplify]: Extracting #6: cost 0 inf + 1951 127.682 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 127.682 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k)))) 127.682 * * * * [progress]: [ 76 / 174 ] simplifiying candidate # 127.682 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 127.682 * * [simplify]: iters left: 5 (7 enodes) 127.687 * * [simplify]: iters left: 4 (28 enodes) 127.697 * * [simplify]: iters left: 3 (39 enodes) 127.710 * * [simplify]: iters left: 2 (43 enodes) 127.723 * * [simplify]: Extracting #0: cost 1 inf + 0 127.723 * * [simplify]: Extracting #1: cost 7 inf + 0 127.723 * * [simplify]: Extracting #2: cost 16 inf + 0 127.723 * * [simplify]: Extracting #3: cost 15 inf + 84 127.723 * * [simplify]: Extracting #4: cost 13 inf + 167 127.724 * * [simplify]: Extracting #5: cost 5 inf + 900 127.724 * * [simplify]: Extracting #6: cost 0 inf + 1551 127.725 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 127.725 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k)))) 127.725 * * * * [progress]: [ 77 / 174 ] simplifiying candidate # 127.725 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 127.726 * * [simplify]: iters left: 5 (6 enodes) 127.730 * * [simplify]: iters left: 4 (26 enodes) 127.740 * * [simplify]: iters left: 3 (35 enodes) 127.751 * * [simplify]: Extracting #0: cost 1 inf + 0 127.751 * * [simplify]: Extracting #1: cost 6 inf + 0 127.751 * * [simplify]: Extracting #2: cost 9 inf + 2 127.751 * * [simplify]: Extracting #3: cost 11 inf + 3 127.751 * * [simplify]: Extracting #4: cost 10 inf + 4 127.751 * * [simplify]: Extracting #5: cost 3 inf + 535 127.752 * * [simplify]: Extracting #6: cost 0 inf + 822 127.752 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 127.752 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 127.752 * * * * [progress]: [ 78 / 174 ] simplifiying candidate # 127.753 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 127.753 * * [simplify]: iters left: 5 (6 enodes) 127.757 * * [simplify]: iters left: 4 (26 enodes) 127.766 * * [simplify]: iters left: 3 (35 enodes) 127.776 * * [simplify]: Extracting #0: cost 1 inf + 0 127.776 * * [simplify]: Extracting #1: cost 6 inf + 0 127.776 * * [simplify]: Extracting #2: cost 9 inf + 2 127.777 * * [simplify]: Extracting #3: cost 11 inf + 3 127.777 * * [simplify]: Extracting #4: cost 10 inf + 4 127.777 * * [simplify]: Extracting #5: cost 3 inf + 535 127.777 * * [simplify]: Extracting #6: cost 0 inf + 822 127.778 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 127.778 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) 1) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 127.778 * * * * [progress]: [ 79 / 174 ] simplifiying candidate # 127.778 * [simplify]: Simplifying (/ 1 2) 127.778 * * [simplify]: iters left: 2 (3 enodes) 127.781 * * [simplify]: iters left: 1 (12 enodes) 127.785 * * [simplify]: Extracting #0: cost 1 inf + 0 127.785 * * [simplify]: Extracting #1: cost 0 inf + 1 127.785 * [simplify]: Simplified to 1/2 127.785 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (- 1 (sqrt k))) 1/2) (/ 1 (sqrt k)))) 127.786 * * * * [progress]: [ 80 / 174 ] simplifiying candidate # 127.786 * [simplify]: Simplifying (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 127.786 * * [simplify]: iters left: 6 (11 enodes) 127.792 * * [simplify]: iters left: 5 (46 enodes) 127.811 * * [simplify]: iters left: 4 (80 enodes) 127.825 * * [simplify]: iters left: 3 (135 enodes) 127.865 * * [simplify]: iters left: 2 (262 enodes) 127.975 * * [simplify]: Extracting #0: cost 1 inf + 0 127.975 * * [simplify]: Extracting #1: cost 14 inf + 0 127.976 * * [simplify]: Extracting #2: cost 66 inf + 1 127.976 * * [simplify]: Extracting #3: cost 127 inf + 6 127.977 * * [simplify]: Extracting #4: cost 147 inf + 11 127.978 * * [simplify]: Extracting #5: cost 138 inf + 1287 127.983 * * [simplify]: Extracting #6: cost 63 inf + 18963 127.992 * * [simplify]: Extracting #7: cost 21 inf + 37871 128.006 * * [simplify]: Extracting #8: cost 0 inf + 56654 128.020 * * [simplify]: Extracting #9: cost 0 inf + 56392 128.034 * [simplify]: Simplified to (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 128.035 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 128.035 * * * * [progress]: [ 81 / 174 ] simplifiying candidate # 128.035 * [simplify]: Simplifying (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) 128.035 * * [simplify]: iters left: 6 (16 enodes) 128.044 * * [simplify]: iters left: 5 (65 enodes) 128.066 * * [simplify]: iters left: 4 (103 enodes) 128.105 * * [simplify]: iters left: 3 (168 enodes) 128.139 * * [simplify]: iters left: 2 (313 enodes) 128.225 * * [simplify]: Extracting #0: cost 1 inf + 0 128.225 * * [simplify]: Extracting #1: cost 13 inf + 0 128.225 * * [simplify]: Extracting #2: cost 57 inf + 1 128.225 * * [simplify]: Extracting #3: cost 91 inf + 6 128.226 * * [simplify]: Extracting #4: cost 108 inf + 10 128.226 * * [simplify]: Extracting #5: cost 144 inf + 134 128.227 * * [simplify]: Extracting #6: cost 119 inf + 5834 128.234 * * [simplify]: Extracting #7: cost 50 inf + 27411 128.251 * * [simplify]: Extracting #8: cost 6 inf + 63479 128.271 * * [simplify]: Extracting #9: cost 0 inf + 68794 128.290 * [simplify]: Simplified to (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) 128.290 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 128.291 * * * * [progress]: [ 82 / 174 ] simplifiying candidate # 128.291 * [simplify]: Simplifying (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 128.291 * * [simplify]: iters left: 6 (15 enodes) 128.300 * * [simplify]: iters left: 5 (62 enodes) 128.325 * * [simplify]: iters left: 4 (101 enodes) 128.361 * * [simplify]: iters left: 3 (167 enodes) 128.423 * * [simplify]: iters left: 2 (315 enodes) 128.521 * * [simplify]: Extracting #0: cost 1 inf + 0 128.521 * * [simplify]: Extracting #1: cost 14 inf + 0 128.521 * * [simplify]: Extracting #2: cost 59 inf + 1 128.521 * * [simplify]: Extracting #3: cost 106 inf + 6 128.522 * * [simplify]: Extracting #4: cost 152 inf + 10 128.522 * * [simplify]: Extracting #5: cost 158 inf + 359 128.525 * * [simplify]: Extracting #6: cost 72 inf + 25399 128.533 * * [simplify]: Extracting #7: cost 5 inf + 61902 128.542 * * [simplify]: Extracting #8: cost 0 inf + 64859 128.555 * [simplify]: Simplified to (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 128.555 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 128.556 * * * * [progress]: [ 83 / 174 ] simplifiying candidate # 128.556 * [simplify]: Simplifying (pow 1 (/ (- 1 (sqrt k)) 2)) 128.556 * * [simplify]: iters left: 6 (7 enodes) 128.561 * * [simplify]: iters left: 5 (27 enodes) 128.569 * * [simplify]: iters left: 4 (36 enodes) 128.575 * * [simplify]: Extracting #0: cost 1 inf + 0 128.575 * * [simplify]: Extracting #1: cost 0 inf + 1 128.575 * [simplify]: Simplified to 1 128.575 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 128.575 * * * * [progress]: [ 84 / 174 ] simplifiying candidate # 128.575 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) 128.576 * * [simplify]: iters left: 6 (15 enodes) 128.580 * * [simplify]: iters left: 5 (64 enodes) 128.593 * * [simplify]: iters left: 4 (107 enodes) 128.619 * * [simplify]: iters left: 3 (172 enodes) 128.661 * * [simplify]: iters left: 2 (308 enodes) 128.748 * * [simplify]: Extracting #0: cost 1 inf + 0 128.748 * * [simplify]: Extracting #1: cost 13 inf + 0 128.748 * * [simplify]: Extracting #2: cost 65 inf + 1 128.748 * * [simplify]: Extracting #3: cost 139 inf + 5 128.749 * * [simplify]: Extracting #4: cost 163 inf + 137 128.750 * * [simplify]: Extracting #5: cost 156 inf + 677 128.755 * * [simplify]: Extracting #6: cost 90 inf + 10197 128.760 * * [simplify]: Extracting #7: cost 37 inf + 36450 128.769 * * [simplify]: Extracting #8: cost 1 inf + 71295 128.779 * * [simplify]: Extracting #9: cost 0 inf + 71579 128.798 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 128.798 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 128.798 * * * * [progress]: [ 85 / 174 ] simplifiying candidate # 128.798 * * * * [progress]: [ 86 / 174 ] simplifiying candidate # 128.799 * * * * [progress]: [ 87 / 174 ] simplifiying candidate # 128.799 * * * * [progress]: [ 88 / 174 ] simplifiying candidate # 128.799 * * * * [progress]: [ 89 / 174 ] simplifiying candidate # 128.799 * * * * [progress]: [ 90 / 174 ] simplifiying candidate # 128.799 * * * * [progress]: [ 91 / 174 ] simplifiying candidate # 128.799 * * * * [progress]: [ 92 / 174 ] simplifiying candidate # 128.799 * * * * [progress]: [ 93 / 174 ] simplifiying candidate #real (real->posit16 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (/ 1 (sqrt k))))> 128.799 * * * * [progress]: [ 94 / 174 ] simplifiying candidate # 128.799 * * * * [progress]: [ 95 / 174 ] simplifiying candidate # 128.799 * * * * [progress]: [ 96 / 174 ] simplifiying candidate # 128.799 * [simplify]: Simplifying (* n (* 2 PI)) 128.800 * * [simplify]: iters left: 4 (5 enodes) 128.803 * * [simplify]: iters left: 3 (19 enodes) 128.809 * * [simplify]: iters left: 2 (27 enodes) 128.817 * * [simplify]: iters left: 1 (32 enodes) 128.825 * * [simplify]: Extracting #0: cost 1 inf + 0 128.825 * * [simplify]: Extracting #1: cost 8 inf + 0 128.825 * * [simplify]: Extracting #2: cost 7 inf + 45 128.825 * * [simplify]: Extracting #3: cost 0 inf + 421 128.826 * [simplify]: Simplified to (* (* PI 2) n) 128.826 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (pow (pow (pow (* (* PI 2) n) 1) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 128.826 * * * * [progress]: [ 97 / 174 ] simplifiying candidate # 128.826 * [simplify]: Simplifying (* n (* 2 PI)) 128.826 * * [simplify]: iters left: 4 (5 enodes) 128.829 * * [simplify]: iters left: 3 (19 enodes) 128.835 * * [simplify]: iters left: 2 (27 enodes) 128.843 * * [simplify]: iters left: 1 (32 enodes) 128.848 * * [simplify]: Extracting #0: cost 1 inf + 0 128.848 * * [simplify]: Extracting #1: cost 8 inf + 0 128.848 * * [simplify]: Extracting #2: cost 7 inf + 45 128.848 * * [simplify]: Extracting #3: cost 0 inf + 421 128.848 * [simplify]: Simplified to (* (* PI 2) n) 128.848 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (pow (pow (pow (* (* PI 2) n) 1) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 128.848 * * * * [progress]: [ 98 / 174 ] simplifiying candidate # 128.849 * * * * [progress]: [ 99 / 174 ] simplifiying candidate # 128.849 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 128.849 * * [simplify]: iters left: 5 (8 enodes) 128.851 * * [simplify]: iters left: 4 (28 enodes) 128.856 * * [simplify]: iters left: 3 (36 enodes) 128.861 * * [simplify]: iters left: 2 (42 enodes) 128.870 * * [simplify]: Extracting #0: cost 1 inf + 0 128.870 * * [simplify]: Extracting #1: cost 8 inf + 0 128.870 * * [simplify]: Extracting #2: cost 17 inf + 0 128.870 * * [simplify]: Extracting #3: cost 12 inf + 145 128.870 * * [simplify]: Extracting #4: cost 5 inf + 1197 128.870 * * [simplify]: Extracting #5: cost 1 inf + 1925 128.871 * * [simplify]: Extracting #6: cost 0 inf + 2107 128.871 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 128.871 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (pow (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 128.871 * * * * [progress]: [ 100 / 174 ] simplifiying candidate # 128.871 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 128.871 * * [simplify]: iters left: 5 (7 enodes) 128.874 * * [simplify]: iters left: 4 (26 enodes) 128.881 * * [simplify]: iters left: 3 (35 enodes) 128.890 * * [simplify]: iters left: 2 (44 enodes) 128.896 * * [simplify]: Extracting #0: cost 1 inf + 0 128.896 * * [simplify]: Extracting #1: cost 8 inf + 0 128.896 * * [simplify]: Extracting #2: cost 18 inf + 0 128.896 * * [simplify]: Extracting #3: cost 15 inf + 74 128.896 * * [simplify]: Extracting #4: cost 8 inf + 554 128.897 * * [simplify]: Extracting #5: cost 0 inf + 1911 128.897 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 128.897 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (pow (pow (exp (+ (log n) (log (* 2 PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 128.897 * * * * [progress]: [ 101 / 174 ] simplifiying candidate # 128.897 * * * * [progress]: [ 102 / 174 ] simplifiying candidate # 128.897 * * * * [progress]: [ 103 / 174 ] simplifiying candidate # 128.897 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 128.897 * * [simplify]: iters left: 6 (11 enodes) 128.901 * * [simplify]: iters left: 5 (48 enodes) 128.911 * * [simplify]: iters left: 4 (121 enodes) 128.958 * * [simplify]: iters left: 3 (348 enodes) 129.169 * * [simplify]: Extracting #0: cost 1 inf + 0 129.170 * * [simplify]: Extracting #1: cost 67 inf + 0 129.171 * * [simplify]: Extracting #2: cost 165 inf + 786 129.177 * * [simplify]: Extracting #3: cost 85 inf + 10177 129.189 * * [simplify]: Extracting #4: cost 9 inf + 26399 129.199 * * [simplify]: Extracting #5: cost 0 inf + 28546 129.206 * * [simplify]: Extracting #6: cost 0 inf + 28506 129.216 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 129.216 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (pow (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 129.216 * * * * [progress]: [ 104 / 174 ] simplifiying candidate # 129.216 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 129.216 * * [simplify]: iters left: 6 (9 enodes) 129.219 * * [simplify]: iters left: 5 (45 enodes) 129.228 * * [simplify]: iters left: 4 (117 enodes) 129.265 * * [simplify]: iters left: 3 (374 enodes) 129.668 * * [simplify]: Extracting #0: cost 1 inf + 0 129.669 * * [simplify]: Extracting #1: cost 77 inf + 0 129.671 * * [simplify]: Extracting #2: cost 184 inf + 984 129.678 * * [simplify]: Extracting #3: cost 106 inf + 11690 129.696 * * [simplify]: Extracting #4: cost 6 inf + 30376 129.714 * * [simplify]: Extracting #5: cost 0 inf + 31644 129.732 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 129.732 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (pow (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 129.732 * * * * [progress]: [ 105 / 174 ] simplifiying candidate # 129.733 * * * * [progress]: [ 106 / 174 ] simplifiying candidate # 129.733 * * * * [progress]: [ 107 / 174 ] simplifiying candidate # 129.733 * * * * [progress]: [ 108 / 174 ] simplifiying candidate # 129.733 * * * * [progress]: [ 109 / 174 ] simplifiying candidate # 129.733 * * * * [progress]: [ 110 / 174 ] simplifiying candidate # 129.733 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 129.733 * * [simplify]: iters left: 3 (3 enodes) 129.734 * * [simplify]: iters left: 2 (9 enodes) 129.735 * * [simplify]: Extracting #0: cost 1 inf + 0 129.735 * * [simplify]: Extracting #1: cost 3 inf + 0 129.735 * * [simplify]: Extracting #2: cost 5 inf + 0 129.735 * * [simplify]: Extracting #3: cost 4 inf + 1 129.735 * * [simplify]: Extracting #4: cost 0 inf + 405 129.735 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 129.735 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (pow (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 129.735 * * * * [progress]: [ 111 / 174 ] simplifiying candidate # 129.735 * [simplify]: Simplifying (sqrt n) 129.735 * * [simplify]: iters left: 1 (2 enodes) 129.736 * * [simplify]: Extracting #0: cost 1 inf + 0 129.736 * * [simplify]: Extracting #1: cost 3 inf + 0 129.736 * * [simplify]: Extracting #2: cost 2 inf + 1 129.736 * * [simplify]: Extracting #3: cost 0 inf + 83 129.736 * [simplify]: Simplified to (sqrt n) 129.736 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (pow (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 129.736 * * * * [progress]: [ 112 / 174 ] simplifiying candidate # 129.736 * * * * [progress]: [ 113 / 174 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k))))> 129.736 * * * * [progress]: [ 114 / 174 ] simplifiying candidate # 129.736 * * * * [progress]: [ 115 / 174 ] simplifiying candidate # 129.736 * * * * [progress]: [ 116 / 174 ] simplifiying candidate # 129.736 * * * * [progress]: [ 117 / 174 ] simplifiying candidate # 129.736 * * * * [progress]: [ 118 / 174 ] simplifiying candidate # 129.737 * [simplify]: Simplifying (- 1/2) 129.737 * * [simplify]: iters left: 2 (2 enodes) 129.738 * * [simplify]: iters left: 1 (7 enodes) 129.740 * * [simplify]: Extracting #0: cost 1 inf + 0 129.740 * * [simplify]: Extracting #1: cost 0 inf + 1 129.740 * [simplify]: Simplified to -1/2 129.740 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow k -1/2))) 129.740 * * * * [progress]: [ 119 / 174 ] simplifiying candidate # 129.740 * [simplify]: Simplifying (- 1) 129.740 * * [simplify]: iters left: 2 (2 enodes) 129.741 * * [simplify]: iters left: 1 (9 enodes) 129.743 * * [simplify]: Extracting #0: cost 1 inf + 0 129.743 * * [simplify]: Extracting #1: cost 0 inf + 1 129.743 * [simplify]: Simplified to -1 129.743 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow (sqrt k) -1))) 129.743 * * * * [progress]: [ 120 / 174 ] simplifiying candidate # 129.743 * [simplify]: Simplifying (- (/ 1 2)) 129.743 * * [simplify]: iters left: 4 (4 enodes) 129.746 * * [simplify]: iters left: 3 (19 enodes) 129.750 * * [simplify]: iters left: 2 (23 enodes) 129.753 * * [simplify]: Extracting #0: cost 1 inf + 0 129.753 * * [simplify]: Extracting #1: cost 0 inf + 1 129.753 * [simplify]: Simplified to -1/2 129.753 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow k -1/2))) 129.753 * * * * [progress]: [ 121 / 174 ] simplifiying candidate # 129.753 * * * * [progress]: [ 122 / 174 ] simplifiying candidate # 129.753 * * * * [progress]: [ 123 / 174 ] simplifiying candidate # 129.754 * [simplify]: Simplifying (- 0 (log (sqrt k))) 129.754 * * [simplify]: iters left: 4 (5 enodes) 129.755 * * [simplify]: iters left: 3 (17 enodes) 129.758 * * [simplify]: iters left: 2 (21 enodes) 129.764 * * [simplify]: iters left: 1 (23 enodes) 129.771 * * [simplify]: Extracting #0: cost 1 inf + 0 129.771 * * [simplify]: Extracting #1: cost 4 inf + 0 129.771 * * [simplify]: Extracting #2: cost 5 inf + 1 129.771 * * [simplify]: Extracting #3: cost 7 inf + 1 129.772 * * [simplify]: Extracting #4: cost 0 inf + 608 129.772 * [simplify]: Simplified to (- (log (sqrt k))) 129.772 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (exp (- (log (sqrt k)))))) 129.772 * * * * [progress]: [ 124 / 174 ] simplifiying candidate # 129.772 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 129.772 * * [simplify]: iters left: 4 (6 enodes) 129.776 * * [simplify]: iters left: 3 (22 enodes) 129.782 * * [simplify]: Extracting #0: cost 1 inf + 0 129.783 * * [simplify]: Extracting #1: cost 4 inf + 0 129.783 * * [simplify]: Extracting #2: cost 5 inf + 1 129.783 * * [simplify]: Extracting #3: cost 7 inf + 1 129.783 * * [simplify]: Extracting #4: cost 6 inf + 2 129.783 * * [simplify]: Extracting #5: cost 1 inf + 457 129.783 * * [simplify]: Extracting #6: cost 0 inf + 608 129.783 * [simplify]: Simplified to (- (log (sqrt k))) 129.783 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (exp (- (log (sqrt k)))))) 129.784 * * * * [progress]: [ 125 / 174 ] simplifiying candidate # 129.784 * * * * [progress]: [ 126 / 174 ] simplifiying candidate # 129.784 * * * * [progress]: [ 127 / 174 ] simplifiying candidate # 129.784 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 129.784 * * [simplify]: iters left: 6 (8 enodes) 129.789 * * [simplify]: iters left: 5 (26 enodes) 129.797 * * [simplify]: iters left: 4 (43 enodes) 129.810 * * [simplify]: iters left: 3 (59 enodes) 129.827 * * [simplify]: iters left: 2 (67 enodes) 129.845 * * [simplify]: iters left: 1 (69 enodes) 129.865 * * [simplify]: Extracting #0: cost 1 inf + 0 129.865 * * [simplify]: Extracting #1: cost 14 inf + 0 129.865 * * [simplify]: Extracting #2: cost 18 inf + 2 129.865 * * [simplify]: Extracting #3: cost 7 inf + 701 129.866 * * [simplify]: Extracting #4: cost 0 inf + 1234 129.867 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 129.867 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (cbrt (/ (/ 1 k) (sqrt k))))) 129.867 * * * * [progress]: [ 128 / 174 ] simplifiying candidate # 129.867 * * * * [progress]: [ 129 / 174 ] simplifiying candidate # 129.867 * * * * [progress]: [ 130 / 174 ] simplifiying candidate # 129.867 * * * * [progress]: [ 131 / 174 ] simplifiying candidate # 129.867 * * * * [progress]: [ 132 / 174 ] simplifiying candidate # 129.868 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 129.868 * * [simplify]: iters left: 6 (8 enodes) 129.872 * * [simplify]: iters left: 5 (32 enodes) 129.884 * * [simplify]: iters left: 4 (48 enodes) 129.899 * * [simplify]: iters left: 3 (76 enodes) 129.913 * * [simplify]: iters left: 2 (81 enodes) 129.919 * * [simplify]: Extracting #0: cost 1 inf + 0 129.919 * * [simplify]: Extracting #1: cost 6 inf + 0 129.919 * * [simplify]: Extracting #2: cost 9 inf + 1 129.919 * * [simplify]: Extracting #3: cost 11 inf + 1 129.920 * * [simplify]: Extracting #4: cost 2 inf + 1052 129.920 * * [simplify]: Extracting #5: cost 0 inf + 1376 129.920 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 129.920 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))))) 129.920 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 129.920 * * [simplify]: iters left: 4 (6 enodes) 129.923 * * [simplify]: iters left: 3 (20 enodes) 129.925 * * [simplify]: iters left: 2 (22 enodes) 129.929 * * [simplify]: Extracting #0: cost 1 inf + 0 129.929 * * [simplify]: Extracting #1: cost 4 inf + 0 129.929 * * [simplify]: Extracting #2: cost 5 inf + 1 129.929 * * [simplify]: Extracting #3: cost 7 inf + 1 129.929 * * [simplify]: Extracting #4: cost 1 inf + 488 129.929 * * [simplify]: Extracting #5: cost 0 inf + 650 129.929 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 129.929 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 129.929 * * * * [progress]: [ 133 / 174 ] simplifiying candidate # 129.929 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 129.930 * * [simplify]: iters left: 6 (8 enodes) 129.932 * * [simplify]: iters left: 5 (29 enodes) 129.941 * * [simplify]: iters left: 4 (31 enodes) 129.950 * * [simplify]: Extracting #0: cost 1 inf + 0 129.950 * * [simplify]: Extracting #1: cost 4 inf + 0 129.950 * * [simplify]: Extracting #2: cost 6 inf + 1 129.950 * * [simplify]: Extracting #3: cost 9 inf + 1 129.950 * * [simplify]: Extracting #4: cost 8 inf + 2 129.950 * * [simplify]: Extracting #5: cost 2 inf + 729 129.951 * * [simplify]: Extracting #6: cost 0 inf + 972 129.951 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 129.951 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k)))))) 129.952 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 129.952 * * [simplify]: iters left: 4 (6 enodes) 129.956 * * [simplify]: iters left: 3 (20 enodes) 129.962 * * [simplify]: iters left: 2 (22 enodes) 129.968 * * [simplify]: Extracting #0: cost 1 inf + 0 129.968 * * [simplify]: Extracting #1: cost 4 inf + 0 129.968 * * [simplify]: Extracting #2: cost 5 inf + 1 129.968 * * [simplify]: Extracting #3: cost 7 inf + 1 129.968 * * [simplify]: Extracting #4: cost 1 inf + 568 129.968 * * [simplify]: Extracting #5: cost 0 inf + 730 129.969 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 129.969 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 129.969 * * * * [progress]: [ 134 / 174 ] simplifiying candidate # 129.969 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 129.969 * * [simplify]: iters left: 5 (7 enodes) 129.974 * * [simplify]: iters left: 4 (25 enodes) 129.986 * * [simplify]: iters left: 3 (27 enodes) 129.993 * * [simplify]: Extracting #0: cost 1 inf + 0 129.993 * * [simplify]: Extracting #1: cost 4 inf + 0 129.993 * * [simplify]: Extracting #2: cost 5 inf + 1 129.993 * * [simplify]: Extracting #3: cost 7 inf + 1 129.993 * * [simplify]: Extracting #4: cost 6 inf + 2 129.994 * * [simplify]: Extracting #5: cost 2 inf + 368 129.994 * * [simplify]: Extracting #6: cost 0 inf + 490 129.994 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 129.994 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))))) 129.995 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 129.995 * * [simplify]: iters left: 4 (6 enodes) 129.999 * * [simplify]: iters left: 3 (20 enodes) 130.005 * * [simplify]: iters left: 2 (22 enodes) 130.012 * * [simplify]: Extracting #0: cost 1 inf + 0 130.012 * * [simplify]: Extracting #1: cost 4 inf + 0 130.012 * * [simplify]: Extracting #2: cost 5 inf + 1 130.013 * * [simplify]: Extracting #3: cost 7 inf + 1 130.013 * * [simplify]: Extracting #4: cost 1 inf + 368 130.013 * * [simplify]: Extracting #5: cost 0 inf + 490 130.013 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 130.013 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 130.014 * * * * [progress]: [ 135 / 174 ] simplifiying candidate # 130.014 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 130.014 * * [simplify]: iters left: 5 (5 enodes) 130.023 * * [simplify]: iters left: 4 (19 enodes) 130.029 * * [simplify]: iters left: 3 (21 enodes) 130.033 * * [simplify]: Extracting #0: cost 1 inf + 0 130.033 * * [simplify]: Extracting #1: cost 0 inf + 1 130.034 * [simplify]: Simplified to 1 130.034 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ (cbrt 1) (sqrt k))))) 130.034 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 130.034 * * [simplify]: iters left: 3 (5 enodes) 130.038 * * [simplify]: iters left: 2 (17 enodes) 130.043 * * [simplify]: iters left: 1 (19 enodes) 130.048 * * [simplify]: Extracting #0: cost 1 inf + 0 130.048 * * [simplify]: Extracting #1: cost 4 inf + 0 130.048 * * [simplify]: Extracting #2: cost 5 inf + 1 130.049 * * [simplify]: Extracting #3: cost 0 inf + 248 130.049 * [simplify]: Simplified to (/ 1 (sqrt k)) 130.049 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ 1 (sqrt k))))) 130.049 * * * * [progress]: [ 136 / 174 ] simplifiying candidate # 130.049 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 130.049 * * [simplify]: iters left: 5 (7 enodes) 130.054 * * [simplify]: iters left: 4 (25 enodes) 130.064 * * [simplify]: iters left: 3 (27 enodes) 130.071 * * [simplify]: Extracting #0: cost 1 inf + 0 130.071 * * [simplify]: Extracting #1: cost 4 inf + 0 130.071 * * [simplify]: Extracting #2: cost 5 inf + 1 130.071 * * [simplify]: Extracting #3: cost 7 inf + 1 130.071 * * [simplify]: Extracting #4: cost 6 inf + 2 130.071 * * [simplify]: Extracting #5: cost 2 inf + 368 130.071 * * [simplify]: Extracting #6: cost 0 inf + 490 130.072 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 130.072 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))))) 130.072 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 130.072 * * [simplify]: iters left: 4 (6 enodes) 130.075 * * [simplify]: iters left: 3 (20 enodes) 130.078 * * [simplify]: iters left: 2 (22 enodes) 130.081 * * [simplify]: Extracting #0: cost 1 inf + 0 130.081 * * [simplify]: Extracting #1: cost 4 inf + 0 130.081 * * [simplify]: Extracting #2: cost 5 inf + 1 130.081 * * [simplify]: Extracting #3: cost 7 inf + 1 130.081 * * [simplify]: Extracting #4: cost 1 inf + 368 130.081 * * [simplify]: Extracting #5: cost 0 inf + 490 130.081 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 130.081 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 130.081 * * * * [progress]: [ 137 / 174 ] simplifiying candidate # 130.081 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 130.081 * * [simplify]: iters left: 5 (4 enodes) 130.086 * * [simplify]: iters left: 4 (14 enodes) 130.088 * * [simplify]: iters left: 3 (16 enodes) 130.089 * * [simplify]: Extracting #0: cost 1 inf + 0 130.089 * * [simplify]: Extracting #1: cost 0 inf + 1 130.089 * [simplify]: Simplified to 1 130.089 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ (cbrt 1) (sqrt k))))) 130.090 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 130.090 * * [simplify]: iters left: 3 (5 enodes) 130.092 * * [simplify]: iters left: 2 (17 enodes) 130.095 * * [simplify]: iters left: 1 (19 enodes) 130.097 * * [simplify]: Extracting #0: cost 1 inf + 0 130.097 * * [simplify]: Extracting #1: cost 4 inf + 0 130.097 * * [simplify]: Extracting #2: cost 5 inf + 1 130.097 * * [simplify]: Extracting #3: cost 0 inf + 248 130.097 * [simplify]: Simplified to (/ 1 (sqrt k)) 130.098 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ 1 (sqrt k))))) 130.098 * * * * [progress]: [ 138 / 174 ] simplifiying candidate # 130.098 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 130.098 * * [simplify]: iters left: 6 (7 enodes) 130.100 * * [simplify]: iters left: 5 (25 enodes) 130.104 * * [simplify]: iters left: 4 (32 enodes) 130.112 * * [simplify]: iters left: 3 (34 enodes) 130.117 * * [simplify]: Extracting #0: cost 1 inf + 0 130.117 * * [simplify]: Extracting #1: cost 7 inf + 0 130.117 * * [simplify]: Extracting #2: cost 11 inf + 1 130.117 * * [simplify]: Extracting #3: cost 13 inf + 1 130.117 * * [simplify]: Extracting #4: cost 10 inf + 84 130.117 * * [simplify]: Extracting #5: cost 4 inf + 1014 130.117 * * [simplify]: Extracting #6: cost 1 inf + 1498 130.117 * * [simplify]: Extracting #7: cost 0 inf + 1700 130.118 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 130.118 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k)))))) 130.118 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 130.118 * * [simplify]: iters left: 4 (6 enodes) 130.120 * * [simplify]: iters left: 3 (20 enodes) 130.123 * * [simplify]: iters left: 2 (22 enodes) 130.127 * * [simplify]: Extracting #0: cost 1 inf + 0 130.127 * * [simplify]: Extracting #1: cost 4 inf + 0 130.127 * * [simplify]: Extracting #2: cost 5 inf + 1 130.128 * * [simplify]: Extracting #3: cost 7 inf + 1 130.128 * * [simplify]: Extracting #4: cost 1 inf + 488 130.128 * * [simplify]: Extracting #5: cost 0 inf + 650 130.128 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 130.128 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 130.128 * * * * [progress]: [ 139 / 174 ] simplifiying candidate # 130.129 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 130.129 * * [simplify]: iters left: 6 (7 enodes) 130.133 * * [simplify]: iters left: 5 (24 enodes) 130.140 * * [simplify]: iters left: 4 (26 enodes) 130.147 * * [simplify]: Extracting #0: cost 1 inf + 0 130.147 * * [simplify]: Extracting #1: cost 4 inf + 0 130.147 * * [simplify]: Extracting #2: cost 6 inf + 1 130.147 * * [simplify]: Extracting #3: cost 9 inf + 1 130.148 * * [simplify]: Extracting #4: cost 8 inf + 2 130.148 * * [simplify]: Extracting #5: cost 2 inf + 730 130.148 * * [simplify]: Extracting #6: cost 0 inf + 972 130.148 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 130.148 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k)))))) 130.149 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 130.149 * * [simplify]: iters left: 4 (6 enodes) 130.153 * * [simplify]: iters left: 3 (20 enodes) 130.159 * * [simplify]: iters left: 2 (22 enodes) 130.166 * * [simplify]: Extracting #0: cost 1 inf + 0 130.166 * * [simplify]: Extracting #1: cost 4 inf + 0 130.166 * * [simplify]: Extracting #2: cost 5 inf + 1 130.166 * * [simplify]: Extracting #3: cost 7 inf + 1 130.166 * * [simplify]: Extracting #4: cost 1 inf + 568 130.167 * * [simplify]: Extracting #5: cost 0 inf + 730 130.167 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 130.167 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 130.167 * * * * [progress]: [ 140 / 174 ] simplifiying candidate # 130.167 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 130.167 * * [simplify]: iters left: 4 (6 enodes) 130.172 * * [simplify]: iters left: 3 (20 enodes) 130.178 * * [simplify]: iters left: 2 (22 enodes) 130.183 * * [simplify]: Extracting #0: cost 1 inf + 0 130.183 * * [simplify]: Extracting #1: cost 4 inf + 0 130.183 * * [simplify]: Extracting #2: cost 5 inf + 1 130.183 * * [simplify]: Extracting #3: cost 7 inf + 1 130.184 * * [simplify]: Extracting #4: cost 1 inf + 368 130.184 * * [simplify]: Extracting #5: cost 0 inf + 490 130.184 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 130.184 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))))) 130.184 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 130.184 * * [simplify]: iters left: 4 (6 enodes) 130.186 * * [simplify]: iters left: 3 (20 enodes) 130.190 * * [simplify]: iters left: 2 (22 enodes) 130.193 * * [simplify]: Extracting #0: cost 1 inf + 0 130.193 * * [simplify]: Extracting #1: cost 4 inf + 0 130.193 * * [simplify]: Extracting #2: cost 5 inf + 1 130.193 * * [simplify]: Extracting #3: cost 7 inf + 1 130.193 * * [simplify]: Extracting #4: cost 1 inf + 368 130.193 * * [simplify]: Extracting #5: cost 0 inf + 490 130.193 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 130.193 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 130.193 * * * * [progress]: [ 141 / 174 ] simplifiying candidate # 130.193 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 130.193 * * [simplify]: iters left: 3 (3 enodes) 130.195 * * [simplify]: iters left: 2 (9 enodes) 130.197 * * [simplify]: iters left: 1 (11 enodes) 130.198 * * [simplify]: Extracting #0: cost 1 inf + 0 130.198 * * [simplify]: Extracting #1: cost 0 inf + 1 130.198 * [simplify]: Simplified to 1 130.198 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ (sqrt 1) (sqrt k))))) 130.198 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 130.199 * * [simplify]: iters left: 3 (5 enodes) 130.201 * * [simplify]: iters left: 2 (17 enodes) 130.203 * * [simplify]: iters left: 1 (19 enodes) 130.206 * * [simplify]: Extracting #0: cost 1 inf + 0 130.206 * * [simplify]: Extracting #1: cost 4 inf + 0 130.206 * * [simplify]: Extracting #2: cost 5 inf + 1 130.206 * * [simplify]: Extracting #3: cost 0 inf + 248 130.206 * [simplify]: Simplified to (/ 1 (sqrt k)) 130.206 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ 1 (sqrt k))))) 130.206 * * * * [progress]: [ 142 / 174 ] simplifiying candidate # 130.206 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 130.206 * * [simplify]: iters left: 4 (6 enodes) 130.208 * * [simplify]: iters left: 3 (20 enodes) 130.211 * * [simplify]: iters left: 2 (22 enodes) 130.214 * * [simplify]: Extracting #0: cost 1 inf + 0 130.215 * * [simplify]: Extracting #1: cost 4 inf + 0 130.215 * * [simplify]: Extracting #2: cost 5 inf + 1 130.215 * * [simplify]: Extracting #3: cost 7 inf + 1 130.215 * * [simplify]: Extracting #4: cost 1 inf + 368 130.215 * * [simplify]: Extracting #5: cost 0 inf + 490 130.215 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 130.215 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))))) 130.215 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 130.215 * * [simplify]: iters left: 4 (6 enodes) 130.217 * * [simplify]: iters left: 3 (20 enodes) 130.220 * * [simplify]: iters left: 2 (22 enodes) 130.229 * * [simplify]: Extracting #0: cost 1 inf + 0 130.229 * * [simplify]: Extracting #1: cost 4 inf + 0 130.229 * * [simplify]: Extracting #2: cost 5 inf + 1 130.229 * * [simplify]: Extracting #3: cost 7 inf + 1 130.230 * * [simplify]: Extracting #4: cost 1 inf + 368 130.230 * * [simplify]: Extracting #5: cost 0 inf + 490 130.230 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 130.230 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 130.230 * * * * [progress]: [ 143 / 174 ] simplifiying candidate # 130.231 * [simplify]: Simplifying (/ (sqrt 1) 1) 130.231 * * [simplify]: iters left: 3 (3 enodes) 130.234 * * [simplify]: iters left: 2 (9 enodes) 130.237 * * [simplify]: iters left: 1 (11 enodes) 130.240 * * [simplify]: Extracting #0: cost 1 inf + 0 130.240 * * [simplify]: Extracting #1: cost 0 inf + 1 130.240 * [simplify]: Simplified to 1 130.240 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ (sqrt 1) (sqrt k))))) 130.240 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 130.241 * * [simplify]: iters left: 3 (5 enodes) 130.245 * * [simplify]: iters left: 2 (17 enodes) 130.250 * * [simplify]: iters left: 1 (19 enodes) 130.255 * * [simplify]: Extracting #0: cost 1 inf + 0 130.255 * * [simplify]: Extracting #1: cost 4 inf + 0 130.255 * * [simplify]: Extracting #2: cost 5 inf + 1 130.255 * * [simplify]: Extracting #3: cost 0 inf + 248 130.255 * [simplify]: Simplified to (/ 1 (sqrt k)) 130.256 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ 1 (sqrt k))))) 130.256 * * * * [progress]: [ 144 / 174 ] simplifiying candidate # 130.256 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 130.256 * * [simplify]: iters left: 6 (6 enodes) 130.259 * * [simplify]: iters left: 5 (22 enodes) 130.266 * * [simplify]: iters left: 4 (26 enodes) 130.274 * * [simplify]: Extracting #0: cost 1 inf + 0 130.274 * * [simplify]: Extracting #1: cost 6 inf + 0 130.274 * * [simplify]: Extracting #2: cost 9 inf + 1 130.274 * * [simplify]: Extracting #3: cost 11 inf + 1 130.274 * * [simplify]: Extracting #4: cost 8 inf + 84 130.275 * * [simplify]: Extracting #5: cost 2 inf + 1013 130.275 * * [simplify]: Extracting #6: cost 0 inf + 1376 130.275 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 130.275 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 130.276 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 130.276 * * [simplify]: iters left: 4 (5 enodes) 130.278 * * [simplify]: iters left: 3 (17 enodes) 130.284 * * [simplify]: iters left: 2 (19 enodes) 130.289 * * [simplify]: Extracting #0: cost 1 inf + 0 130.290 * * [simplify]: Extracting #1: cost 4 inf + 0 130.290 * * [simplify]: Extracting #2: cost 5 inf + 1 130.290 * * [simplify]: Extracting #3: cost 7 inf + 1 130.290 * * [simplify]: Extracting #4: cost 0 inf + 650 130.290 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 130.290 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 130.290 * * * * [progress]: [ 145 / 174 ] simplifiying candidate # 130.291 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 130.291 * * [simplify]: iters left: 6 (6 enodes) 130.294 * * [simplify]: iters left: 5 (21 enodes) 130.300 * * [simplify]: iters left: 4 (23 enodes) 130.307 * * [simplify]: Extracting #0: cost 1 inf + 0 130.307 * * [simplify]: Extracting #1: cost 4 inf + 0 130.307 * * [simplify]: Extracting #2: cost 6 inf + 1 130.307 * * [simplify]: Extracting #3: cost 9 inf + 1 130.307 * * [simplify]: Extracting #4: cost 8 inf + 2 130.307 * * [simplify]: Extracting #5: cost 1 inf + 810 130.308 * * [simplify]: Extracting #6: cost 0 inf + 972 130.308 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 130.308 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 130.308 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 130.309 * * [simplify]: iters left: 4 (5 enodes) 130.311 * * [simplify]: iters left: 3 (17 enodes) 130.316 * * [simplify]: iters left: 2 (19 enodes) 130.322 * * [simplify]: Extracting #0: cost 1 inf + 0 130.322 * * [simplify]: Extracting #1: cost 4 inf + 0 130.322 * * [simplify]: Extracting #2: cost 5 inf + 1 130.322 * * [simplify]: Extracting #3: cost 7 inf + 1 130.322 * * [simplify]: Extracting #4: cost 0 inf + 730 130.322 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 130.322 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 130.323 * * * * [progress]: [ 146 / 174 ] simplifiying candidate # 130.323 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 130.323 * * [simplify]: iters left: 4 (5 enodes) 130.326 * * [simplify]: iters left: 3 (17 enodes) 130.331 * * [simplify]: iters left: 2 (19 enodes) 130.336 * * [simplify]: Extracting #0: cost 1 inf + 0 130.337 * * [simplify]: Extracting #1: cost 4 inf + 0 130.337 * * [simplify]: Extracting #2: cost 5 inf + 1 130.337 * * [simplify]: Extracting #3: cost 7 inf + 1 130.337 * * [simplify]: Extracting #4: cost 0 inf + 490 130.337 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 130.337 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 130.338 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 130.338 * * [simplify]: iters left: 4 (5 enodes) 130.340 * * [simplify]: iters left: 3 (17 enodes) 130.345 * * [simplify]: iters left: 2 (19 enodes) 130.351 * * [simplify]: Extracting #0: cost 1 inf + 0 130.351 * * [simplify]: Extracting #1: cost 4 inf + 0 130.351 * * [simplify]: Extracting #2: cost 5 inf + 1 130.351 * * [simplify]: Extracting #3: cost 7 inf + 1 130.351 * * [simplify]: Extracting #4: cost 0 inf + 490 130.351 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 130.351 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 130.351 * * * * [progress]: [ 147 / 174 ] simplifiying candidate # 130.352 * [simplify]: Simplifying (/ 1 (sqrt 1)) 130.352 * * [simplify]: iters left: 3 (3 enodes) 130.357 * * [simplify]: iters left: 2 (11 enodes) 130.360 * * [simplify]: iters left: 1 (13 enodes) 130.364 * * [simplify]: Extracting #0: cost 1 inf + 0 130.364 * * [simplify]: Extracting #1: cost 0 inf + 1 130.364 * [simplify]: Simplified to 1 130.364 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ 1 (sqrt k))))) 130.364 * [simplify]: Simplifying (/ 1 (sqrt k)) 130.364 * * [simplify]: iters left: 3 (4 enodes) 130.367 * * [simplify]: iters left: 2 (14 enodes) 130.371 * * [simplify]: iters left: 1 (16 enodes) 130.376 * * [simplify]: Extracting #0: cost 1 inf + 0 130.376 * * [simplify]: Extracting #1: cost 4 inf + 0 130.376 * * [simplify]: Extracting #2: cost 5 inf + 1 130.376 * * [simplify]: Extracting #3: cost 3 inf + 43 130.376 * * [simplify]: Extracting #4: cost 1 inf + 166 130.376 * * [simplify]: Extracting #5: cost 0 inf + 248 130.376 * [simplify]: Simplified to (/ 1 (sqrt k)) 130.376 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ 1 (sqrt k))))) 130.377 * * * * [progress]: [ 148 / 174 ] simplifiying candidate # 130.377 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 130.377 * * [simplify]: iters left: 4 (5 enodes) 130.379 * * [simplify]: iters left: 3 (17 enodes) 130.385 * * [simplify]: iters left: 2 (19 enodes) 130.388 * * [simplify]: Extracting #0: cost 1 inf + 0 130.388 * * [simplify]: Extracting #1: cost 4 inf + 0 130.388 * * [simplify]: Extracting #2: cost 5 inf + 1 130.388 * * [simplify]: Extracting #3: cost 7 inf + 1 130.389 * * [simplify]: Extracting #4: cost 0 inf + 490 130.389 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 130.389 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 130.389 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 130.389 * * [simplify]: iters left: 4 (5 enodes) 130.390 * * [simplify]: iters left: 3 (17 enodes) 130.393 * * [simplify]: iters left: 2 (19 enodes) 130.396 * * [simplify]: Extracting #0: cost 1 inf + 0 130.396 * * [simplify]: Extracting #1: cost 4 inf + 0 130.396 * * [simplify]: Extracting #2: cost 5 inf + 1 130.396 * * [simplify]: Extracting #3: cost 7 inf + 1 130.396 * * [simplify]: Extracting #4: cost 0 inf + 490 130.396 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 130.396 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 130.396 * * * * [progress]: [ 149 / 174 ] simplifiying candidate # 130.396 * [simplify]: Simplifying (/ 1 1) 130.396 * * [simplify]: iters left: 2 (2 enodes) 130.397 * * [simplify]: iters left: 1 (6 enodes) 130.398 * * [simplify]: Extracting #0: cost 1 inf + 0 130.398 * * [simplify]: Extracting #1: cost 0 inf + 1 130.398 * [simplify]: Simplified to 1 130.398 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ 1 (sqrt k))))) 130.399 * [simplify]: Simplifying (/ 1 (sqrt k)) 130.399 * * [simplify]: iters left: 3 (4 enodes) 130.400 * * [simplify]: iters left: 2 (14 enodes) 130.402 * * [simplify]: iters left: 1 (16 enodes) 130.404 * * [simplify]: Extracting #0: cost 1 inf + 0 130.404 * * [simplify]: Extracting #1: cost 4 inf + 0 130.404 * * [simplify]: Extracting #2: cost 5 inf + 1 130.405 * * [simplify]: Extracting #3: cost 3 inf + 43 130.405 * * [simplify]: Extracting #4: cost 1 inf + 166 130.405 * * [simplify]: Extracting #5: cost 0 inf + 248 130.405 * [simplify]: Simplified to (/ 1 (sqrt k)) 130.405 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ 1 (sqrt k))))) 130.405 * * * * [progress]: [ 150 / 174 ] simplifiying candidate # 130.405 * * * * [progress]: [ 151 / 174 ] simplifiying candidate # 130.405 * * * * [progress]: [ 152 / 174 ] simplifiying candidate # 130.405 * * * * [progress]: [ 153 / 174 ] simplifiying candidate # 130.405 * [simplify]: Simplifying (cbrt (sqrt k)) 130.405 * * [simplify]: iters left: 2 (3 enodes) 130.406 * * [simplify]: iters left: 1 (9 enodes) 130.407 * * [simplify]: Extracting #0: cost 1 inf + 0 130.407 * * [simplify]: Extracting #1: cost 3 inf + 0 130.407 * * [simplify]: Extracting #2: cost 5 inf + 0 130.407 * * [simplify]: Extracting #3: cost 4 inf + 1 130.407 * * [simplify]: Extracting #4: cost 0 inf + 325 130.407 * [simplify]: Simplified to (cbrt (sqrt k)) 130.407 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 130.408 * * * * [progress]: [ 154 / 174 ] simplifiying candidate # 130.408 * [simplify]: Simplifying (sqrt (cbrt k)) 130.408 * * [simplify]: iters left: 2 (3 enodes) 130.408 * * [simplify]: iters left: 1 (9 enodes) 130.410 * * [simplify]: Extracting #0: cost 1 inf + 0 130.410 * * [simplify]: Extracting #1: cost 3 inf + 0 130.410 * * [simplify]: Extracting #2: cost 5 inf + 0 130.410 * * [simplify]: Extracting #3: cost 4 inf + 1 130.410 * * [simplify]: Extracting #4: cost 0 inf + 405 130.410 * [simplify]: Simplified to (sqrt (cbrt k)) 130.410 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))) 130.410 * * * * [progress]: [ 155 / 174 ] simplifiying candidate # 130.410 * [simplify]: Simplifying (sqrt (sqrt k)) 130.410 * * [simplify]: iters left: 2 (3 enodes) 130.411 * * [simplify]: iters left: 1 (9 enodes) 130.412 * * [simplify]: Extracting #0: cost 1 inf + 0 130.412 * * [simplify]: Extracting #1: cost 3 inf + 0 130.412 * * [simplify]: Extracting #2: cost 5 inf + 0 130.412 * * [simplify]: Extracting #3: cost 4 inf + 1 130.412 * * [simplify]: Extracting #4: cost 0 inf + 245 130.412 * [simplify]: Simplified to (sqrt (sqrt k)) 130.412 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 130.412 * * * * [progress]: [ 156 / 174 ] simplifiying candidate # 130.412 * [simplify]: Simplifying (sqrt k) 130.412 * * [simplify]: iters left: 1 (2 enodes) 130.413 * * [simplify]: Extracting #0: cost 1 inf + 0 130.413 * * [simplify]: Extracting #1: cost 3 inf + 0 130.413 * * [simplify]: Extracting #2: cost 2 inf + 1 130.413 * * [simplify]: Extracting #3: cost 0 inf + 83 130.413 * [simplify]: Simplified to (sqrt k) 130.413 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (/ 1 (sqrt 1)) (sqrt k)))) 130.413 * * * * [progress]: [ 157 / 174 ] simplifiying candidate # 130.413 * [simplify]: Simplifying (sqrt (sqrt k)) 130.413 * * [simplify]: iters left: 2 (3 enodes) 130.414 * * [simplify]: iters left: 1 (9 enodes) 130.415 * * [simplify]: Extracting #0: cost 1 inf + 0 130.415 * * [simplify]: Extracting #1: cost 3 inf + 0 130.415 * * [simplify]: Extracting #2: cost 5 inf + 0 130.415 * * [simplify]: Extracting #3: cost 4 inf + 1 130.415 * * [simplify]: Extracting #4: cost 0 inf + 245 130.415 * [simplify]: Simplified to (sqrt (sqrt k)) 130.415 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 130.415 * * * * [progress]: [ 158 / 174 ] simplifiying candidate # 130.415 * [simplify]: Simplifying (sqrt k) 130.415 * * [simplify]: iters left: 1 (2 enodes) 130.416 * * [simplify]: Extracting #0: cost 1 inf + 0 130.416 * * [simplify]: Extracting #1: cost 3 inf + 0 130.416 * * [simplify]: Extracting #2: cost 2 inf + 1 130.416 * * [simplify]: Extracting #3: cost 0 inf + 83 130.416 * [simplify]: Simplified to (sqrt k) 130.416 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (/ 1 1) (sqrt k)))) 130.416 * * * * [progress]: [ 159 / 174 ] simplifiying candidate # 130.416 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 130.416 * * [simplify]: iters left: 3 (3 enodes) 130.420 * * [simplify]: iters left: 2 (11 enodes) 130.422 * * [simplify]: iters left: 1 (13 enodes) 130.424 * * [simplify]: Extracting #0: cost 1 inf + 0 130.424 * * [simplify]: Extracting #1: cost 0 inf + 1 130.424 * [simplify]: Simplified to 1 130.424 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (/ (sqrt k) (cbrt 1))))) 130.424 * * * * [progress]: [ 160 / 174 ] simplifiying candidate # 130.424 * [simplify]: Simplifying (sqrt 1) 130.424 * * [simplify]: iters left: 1 (2 enodes) 130.426 * * [simplify]: Extracting #0: cost 1 inf + 0 130.426 * * [simplify]: Extracting #1: cost 0 inf + 1 130.427 * [simplify]: Simplified to 1 130.427 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (/ (sqrt k) (sqrt 1))))) 130.427 * * * * [progress]: [ 161 / 174 ] simplifiying candidate # 130.427 * * * * [progress]: [ 162 / 174 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k))))))> 130.427 * * * * [progress]: [ 163 / 174 ] simplifiying candidate # 130.427 * [simplify]: Simplifying (- (exp (+ (log n) (log (* 2 PI)))) (+ (* +nan.0 (* k (* (exp (+ (log n) (log (* 2 PI)))) (log (* 2 PI))))) (- (+ (* +nan.0 (* k (* (log n) (exp (+ (log n) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (log n) (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2))))) (- (+ (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (pow (log n) 2) (pow k 2))))))))))))))))) 130.427 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow +nan.0 (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 130.428 * * * * [progress]: [ 164 / 174 ] simplifiying candidate # 130.428 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 130.428 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow +nan.0 (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 130.429 * * * * [progress]: [ 165 / 174 ] simplifiying candidate # 130.429 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 130.429 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow +nan.0 (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 130.430 * * * * [progress]: [ 166 / 174 ] simplifiying candidate # 130.430 * [simplify]: Simplifying (- (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* +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 (* (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 (* (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)))))))))))))))) 130.430 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (/ 1 (sqrt k)))) 130.431 * * * * [progress]: [ 167 / 174 ] simplifiying candidate # 130.431 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 130.431 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (/ 1 (sqrt k)))) 130.432 * * * * [progress]: [ 168 / 174 ] simplifiying candidate # 130.432 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 130.432 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (/ 1 (sqrt k)))) 130.433 * * * * [progress]: [ 169 / 174 ] simplifiying candidate # 130.433 * [simplify]: Simplifying (* 2 (* n PI)) 130.433 * * [simplify]: iters left: 4 (5 enodes) 130.436 * * [simplify]: iters left: 3 (19 enodes) 130.442 * * [simplify]: iters left: 2 (27 enodes) 130.450 * * [simplify]: iters left: 1 (32 enodes) 130.458 * * [simplify]: Extracting #0: cost 1 inf + 0 130.458 * * [simplify]: Extracting #1: cost 8 inf + 0 130.458 * * [simplify]: Extracting #2: cost 7 inf + 45 130.458 * * [simplify]: Extracting #3: cost 0 inf + 421 130.458 * [simplify]: Simplified to (* (* PI n) 2) 130.458 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 130.459 * * * * [progress]: [ 170 / 174 ] simplifiying candidate # 130.459 * [simplify]: Simplifying (* 2 (* n PI)) 130.459 * * [simplify]: iters left: 4 (5 enodes) 130.462 * * [simplify]: iters left: 3 (19 enodes) 130.468 * * [simplify]: iters left: 2 (27 enodes) 130.474 * * [simplify]: iters left: 1 (32 enodes) 130.479 * * [simplify]: Extracting #0: cost 1 inf + 0 130.479 * * [simplify]: Extracting #1: cost 8 inf + 0 130.479 * * [simplify]: Extracting #2: cost 7 inf + 45 130.479 * * [simplify]: Extracting #3: cost 0 inf + 421 130.479 * [simplify]: Simplified to (* (* PI n) 2) 130.479 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 130.479 * * * * [progress]: [ 171 / 174 ] simplifiying candidate # 130.479 * [simplify]: Simplifying (* 2 (* n PI)) 130.479 * * [simplify]: iters left: 4 (5 enodes) 130.481 * * [simplify]: iters left: 3 (19 enodes) 130.484 * * [simplify]: iters left: 2 (27 enodes) 130.488 * * [simplify]: iters left: 1 (32 enodes) 130.495 * * [simplify]: Extracting #0: cost 1 inf + 0 130.495 * * [simplify]: Extracting #1: cost 8 inf + 0 130.495 * * [simplify]: Extracting #2: cost 7 inf + 45 130.495 * * [simplify]: Extracting #3: cost 0 inf + 421 130.496 * [simplify]: Simplified to (* (* PI n) 2) 130.496 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 130.496 * * * * [progress]: [ 172 / 174 ] simplifiying candidate # 130.496 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 130.496 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) +nan.0)) 130.496 * * * * [progress]: [ 173 / 174 ] simplifiying candidate # 130.496 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 130.496 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) +nan.0)) 130.496 * * * * [progress]: [ 174 / 174 ] simplifiying candidate # 130.497 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 130.497 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) +nan.0)) 130.497 * * * [progress]: adding candidates to table 133.107 * [progress]: [Phase 3 of 3] Extracting. 133.107 * * [regime]: Finding splitpoints for: (# # # # # # #) 133.108 * * * [regime-changes]: Trying 2 branch expressions: (n k) 133.108 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 133.195 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 133.272 * * * [regime]: Found split indices: #