0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.163 * * * [progress]: [2/2] Setting up program. 0.167 * [progress]: [Phase 2 of 3] Improving. 0.168 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.168 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 0.168 * * [simplify]: iters left: 6 (13 enodes) 0.172 * * [simplify]: iters left: 5 (57 enodes) 0.183 * * [simplify]: iters left: 4 (96 enodes) 0.202 * * [simplify]: iters left: 3 (172 enodes) 0.258 * * [simplify]: iters left: 2 (338 enodes) 0.408 * * [simplify]: Extracting #0: cost 1 inf + 0 0.408 * * [simplify]: Extracting #1: cost 41 inf + 0 0.409 * * [simplify]: Extracting #2: cost 120 inf + 1 0.410 * * [simplify]: Extracting #3: cost 166 inf + 127 0.411 * * [simplify]: Extracting #4: cost 166 inf + 467 0.414 * * [simplify]: Extracting #5: cost 119 inf + 9856 0.426 * * [simplify]: Extracting #6: cost 46 inf + 40838 0.453 * * [simplify]: Extracting #7: cost 4 inf + 73302 0.477 * * [simplify]: Extracting #8: cost 0 inf + 76897 0.491 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 0.491 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 0.498 * * [progress]: iteration 1 / 4 0.498 * * * [progress]: picking best candidate 0.504 * * * * [pick]: Picked # 0.504 * * * [progress]: localizing error 0.549 * * * [progress]: generating rewritten candidates 0.549 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.588 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.613 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.618 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.667 * * * [progress]: generating series expansions 0.667 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.668 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 0.668 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.668 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.668 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.668 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.668 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.668 * [taylor]: Taking taylor expansion of 1/2 in k 0.668 * [backup-simplify]: Simplify 1/2 into 1/2 0.668 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.668 * [taylor]: Taking taylor expansion of 1 in k 0.668 * [backup-simplify]: Simplify 1 into 1 0.668 * [taylor]: Taking taylor expansion of k in k 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 1 into 1 0.669 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.669 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.669 * [taylor]: Taking taylor expansion of 2 in k 0.669 * [backup-simplify]: Simplify 2 into 2 0.669 * [taylor]: Taking taylor expansion of (* n PI) in k 0.669 * [taylor]: Taking taylor expansion of n in k 0.669 * [backup-simplify]: Simplify n into n 0.669 * [taylor]: Taking taylor expansion of PI in k 0.669 * [backup-simplify]: Simplify PI into PI 0.669 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.669 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.669 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.669 * [backup-simplify]: Simplify (- 0) into 0 0.670 * [backup-simplify]: Simplify (+ 1 0) into 1 0.670 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.670 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.670 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.670 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.670 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.670 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.671 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.671 * [taylor]: Taking taylor expansion of 1/2 in n 0.671 * [backup-simplify]: Simplify 1/2 into 1/2 0.671 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.671 * [taylor]: Taking taylor expansion of 1 in n 0.671 * [backup-simplify]: Simplify 1 into 1 0.671 * [taylor]: Taking taylor expansion of k in n 0.671 * [backup-simplify]: Simplify k into k 0.671 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.671 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.671 * [taylor]: Taking taylor expansion of 2 in n 0.671 * [backup-simplify]: Simplify 2 into 2 0.671 * [taylor]: Taking taylor expansion of (* n PI) in n 0.671 * [taylor]: Taking taylor expansion of n in n 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify 1 into 1 0.671 * [taylor]: Taking taylor expansion of PI in n 0.671 * [backup-simplify]: Simplify PI into PI 0.671 * [backup-simplify]: Simplify (* 0 PI) into 0 0.672 * [backup-simplify]: Simplify (* 2 0) into 0 0.673 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.675 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.676 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.676 * [backup-simplify]: Simplify (- k) into (- k) 0.676 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.676 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.677 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.678 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.679 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.679 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.679 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.679 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.679 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.679 * [taylor]: Taking taylor expansion of 1/2 in n 0.679 * [backup-simplify]: Simplify 1/2 into 1/2 0.679 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.679 * [taylor]: Taking taylor expansion of 1 in n 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [taylor]: Taking taylor expansion of k in n 0.680 * [backup-simplify]: Simplify k into k 0.680 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.680 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.680 * [taylor]: Taking taylor expansion of 2 in n 0.680 * [backup-simplify]: Simplify 2 into 2 0.680 * [taylor]: Taking taylor expansion of (* n PI) in n 0.680 * [taylor]: Taking taylor expansion of n in n 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 1 into 1 0.680 * [taylor]: Taking taylor expansion of PI in n 0.680 * [backup-simplify]: Simplify PI into PI 0.680 * [backup-simplify]: Simplify (* 0 PI) into 0 0.681 * [backup-simplify]: Simplify (* 2 0) into 0 0.682 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.683 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.684 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.684 * [backup-simplify]: Simplify (- k) into (- k) 0.684 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.685 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.686 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.687 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.688 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.688 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.688 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.688 * [taylor]: Taking taylor expansion of 1/2 in k 0.688 * [backup-simplify]: Simplify 1/2 into 1/2 0.688 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.688 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.688 * [taylor]: Taking taylor expansion of 1 in k 0.688 * [backup-simplify]: Simplify 1 into 1 0.688 * [taylor]: Taking taylor expansion of k in k 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify 1 into 1 0.688 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.688 * [taylor]: Taking taylor expansion of (log n) in k 0.688 * [taylor]: Taking taylor expansion of n in k 0.688 * [backup-simplify]: Simplify n into n 0.688 * [backup-simplify]: Simplify (log n) into (log n) 0.688 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.688 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.689 * [taylor]: Taking taylor expansion of 2 in k 0.689 * [backup-simplify]: Simplify 2 into 2 0.689 * [taylor]: Taking taylor expansion of PI in k 0.689 * [backup-simplify]: Simplify PI into PI 0.689 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.690 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.690 * [backup-simplify]: Simplify (- 0) into 0 0.691 * [backup-simplify]: Simplify (+ 1 0) into 1 0.692 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.693 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.694 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.695 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.696 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.697 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.698 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.699 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.700 * [backup-simplify]: Simplify (- 0) into 0 0.700 * [backup-simplify]: Simplify (+ 0 0) into 0 0.701 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.702 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.703 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.705 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.705 * [taylor]: Taking taylor expansion of 0 in k 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.707 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.709 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.709 * [backup-simplify]: Simplify (+ 0 0) into 0 0.709 * [backup-simplify]: Simplify (- 1) into -1 0.710 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.711 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.713 * [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))))) 0.716 * [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))))))) 0.719 * [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))))))) 0.720 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.722 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.725 * [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 0.726 * [backup-simplify]: Simplify (- 0) into 0 0.726 * [backup-simplify]: Simplify (+ 0 0) into 0 0.727 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.728 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.730 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.732 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.732 * [taylor]: Taking taylor expansion of 0 in k 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.735 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.739 * [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 0.739 * [backup-simplify]: Simplify (+ 0 0) into 0 0.739 * [backup-simplify]: Simplify (- 0) into 0 0.740 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.744 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.748 * [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))))) 0.752 * [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))))) 0.762 * [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))))) 0.763 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 0.763 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.763 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.763 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.763 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.763 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.763 * [taylor]: Taking taylor expansion of 1/2 in k 0.763 * [backup-simplify]: Simplify 1/2 into 1/2 0.763 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.763 * [taylor]: Taking taylor expansion of 1 in k 0.763 * [backup-simplify]: Simplify 1 into 1 0.763 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.763 * [taylor]: Taking taylor expansion of k in k 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 1 into 1 0.764 * [backup-simplify]: Simplify (/ 1 1) into 1 0.764 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.764 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.764 * [taylor]: Taking taylor expansion of 2 in k 0.764 * [backup-simplify]: Simplify 2 into 2 0.764 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.764 * [taylor]: Taking taylor expansion of PI in k 0.764 * [backup-simplify]: Simplify PI into PI 0.764 * [taylor]: Taking taylor expansion of n in k 0.764 * [backup-simplify]: Simplify n into n 0.764 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.764 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 0.764 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 0.765 * [backup-simplify]: Simplify (- 1) into -1 0.765 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.765 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 0.766 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 0.766 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0.766 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.766 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.766 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.766 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.766 * [taylor]: Taking taylor expansion of 1/2 in n 0.766 * [backup-simplify]: Simplify 1/2 into 1/2 0.766 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.766 * [taylor]: Taking taylor expansion of 1 in n 0.766 * [backup-simplify]: Simplify 1 into 1 0.766 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.766 * [taylor]: Taking taylor expansion of k in n 0.766 * [backup-simplify]: Simplify k into k 0.766 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.766 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.766 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.766 * [taylor]: Taking taylor expansion of 2 in n 0.766 * [backup-simplify]: Simplify 2 into 2 0.766 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.766 * [taylor]: Taking taylor expansion of PI in n 0.766 * [backup-simplify]: Simplify PI into PI 0.766 * [taylor]: Taking taylor expansion of n in n 0.766 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 1 into 1 0.767 * [backup-simplify]: Simplify (/ PI 1) into PI 0.767 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.768 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.768 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.769 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.769 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.770 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.771 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.772 * [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))))) 0.772 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.772 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.772 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.773 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.773 * [taylor]: Taking taylor expansion of 1/2 in n 0.773 * [backup-simplify]: Simplify 1/2 into 1/2 0.773 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.773 * [taylor]: Taking taylor expansion of 1 in n 0.773 * [backup-simplify]: Simplify 1 into 1 0.773 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.773 * [taylor]: Taking taylor expansion of k in n 0.773 * [backup-simplify]: Simplify k into k 0.773 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.773 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.773 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.773 * [taylor]: Taking taylor expansion of 2 in n 0.773 * [backup-simplify]: Simplify 2 into 2 0.773 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.773 * [taylor]: Taking taylor expansion of PI in n 0.773 * [backup-simplify]: Simplify PI into PI 0.773 * [taylor]: Taking taylor expansion of n in n 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 1 into 1 0.773 * [backup-simplify]: Simplify (/ PI 1) into PI 0.774 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.775 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.775 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.775 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.775 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.777 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.778 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.779 * [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))))) 0.779 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.779 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.779 * [taylor]: Taking taylor expansion of 1/2 in k 0.779 * [backup-simplify]: Simplify 1/2 into 1/2 0.779 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.779 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.779 * [taylor]: Taking taylor expansion of 1 in k 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.779 * [taylor]: Taking taylor expansion of k in k 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 1 into 1 0.780 * [backup-simplify]: Simplify (/ 1 1) into 1 0.780 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.780 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.780 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.780 * [taylor]: Taking taylor expansion of 2 in k 0.780 * [backup-simplify]: Simplify 2 into 2 0.780 * [taylor]: Taking taylor expansion of PI in k 0.780 * [backup-simplify]: Simplify PI into PI 0.780 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.781 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.781 * [taylor]: Taking taylor expansion of (log n) in k 0.781 * [taylor]: Taking taylor expansion of n in k 0.781 * [backup-simplify]: Simplify n into n 0.781 * [backup-simplify]: Simplify (log n) into (log n) 0.782 * [backup-simplify]: Simplify (- 1) into -1 0.782 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.782 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.783 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 0.784 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 0.785 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 0.786 * [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))))) 0.787 * [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))))) 0.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.789 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.789 * [backup-simplify]: Simplify (- 0) into 0 0.790 * [backup-simplify]: Simplify (+ 0 0) into 0 0.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 0.791 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.791 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 0.792 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.793 * [taylor]: Taking taylor expansion of 0 in k 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.795 * [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 0.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.796 * [backup-simplify]: Simplify (- 0) into 0 0.796 * [backup-simplify]: Simplify (+ 0 0) into 0 0.799 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 0.800 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.800 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 0.802 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.802 * [taylor]: Taking taylor expansion of 0 in k 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.806 * [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 0.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.807 * [backup-simplify]: Simplify (- 0) into 0 0.807 * [backup-simplify]: Simplify (+ 0 0) into 0 0.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 0.809 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.810 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 0.811 * [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 0.811 * [taylor]: Taking taylor expansion of 0 in k 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify 0 into 0 0.812 * [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)))))) 0.813 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 0.813 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.813 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.813 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.813 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.813 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.813 * [taylor]: Taking taylor expansion of 1/2 in k 0.813 * [backup-simplify]: Simplify 1/2 into 1/2 0.813 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.813 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.813 * [taylor]: Taking taylor expansion of k in k 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify 1 into 1 0.813 * [backup-simplify]: Simplify (/ 1 1) into 1 0.813 * [taylor]: Taking taylor expansion of 1 in k 0.813 * [backup-simplify]: Simplify 1 into 1 0.813 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.813 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.813 * [taylor]: Taking taylor expansion of -2 in k 0.813 * [backup-simplify]: Simplify -2 into -2 0.813 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.813 * [taylor]: Taking taylor expansion of PI in k 0.813 * [backup-simplify]: Simplify PI into PI 0.813 * [taylor]: Taking taylor expansion of n in k 0.813 * [backup-simplify]: Simplify n into n 0.813 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.813 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 0.813 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 0.814 * [backup-simplify]: Simplify (+ 1 0) into 1 0.814 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.814 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 0.814 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 0.814 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.814 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.814 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.814 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.814 * [taylor]: Taking taylor expansion of 1/2 in n 0.814 * [backup-simplify]: Simplify 1/2 into 1/2 0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.815 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.815 * [taylor]: Taking taylor expansion of k in n 0.815 * [backup-simplify]: Simplify k into k 0.815 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.815 * [taylor]: Taking taylor expansion of 1 in n 0.815 * [backup-simplify]: Simplify 1 into 1 0.815 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.815 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.815 * [taylor]: Taking taylor expansion of -2 in n 0.815 * [backup-simplify]: Simplify -2 into -2 0.815 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.815 * [taylor]: Taking taylor expansion of PI in n 0.815 * [backup-simplify]: Simplify PI into PI 0.815 * [taylor]: Taking taylor expansion of n in n 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 1 into 1 0.815 * [backup-simplify]: Simplify (/ PI 1) into PI 0.816 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.817 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.817 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.817 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.818 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.819 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.820 * [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))))) 0.821 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.821 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.821 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.821 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.821 * [taylor]: Taking taylor expansion of 1/2 in n 0.821 * [backup-simplify]: Simplify 1/2 into 1/2 0.821 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.821 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.821 * [taylor]: Taking taylor expansion of k in n 0.821 * [backup-simplify]: Simplify k into k 0.821 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.821 * [taylor]: Taking taylor expansion of 1 in n 0.821 * [backup-simplify]: Simplify 1 into 1 0.821 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.821 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.821 * [taylor]: Taking taylor expansion of -2 in n 0.821 * [backup-simplify]: Simplify -2 into -2 0.821 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.821 * [taylor]: Taking taylor expansion of PI in n 0.821 * [backup-simplify]: Simplify PI into PI 0.821 * [taylor]: Taking taylor expansion of n in n 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 1 into 1 0.822 * [backup-simplify]: Simplify (/ PI 1) into PI 0.822 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.823 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.823 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.824 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.825 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.826 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.827 * [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))))) 0.827 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.827 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.827 * [taylor]: Taking taylor expansion of 1/2 in k 0.827 * [backup-simplify]: Simplify 1/2 into 1/2 0.827 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.827 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.827 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.827 * [taylor]: Taking taylor expansion of k in k 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.828 * [backup-simplify]: Simplify (/ 1 1) into 1 0.828 * [taylor]: Taking taylor expansion of 1 in k 0.828 * [backup-simplify]: Simplify 1 into 1 0.828 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.828 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.828 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.828 * [taylor]: Taking taylor expansion of -2 in k 0.828 * [backup-simplify]: Simplify -2 into -2 0.828 * [taylor]: Taking taylor expansion of PI in k 0.828 * [backup-simplify]: Simplify PI into PI 0.828 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.829 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.829 * [taylor]: Taking taylor expansion of (log n) in k 0.829 * [taylor]: Taking taylor expansion of n in k 0.829 * [backup-simplify]: Simplify n into n 0.829 * [backup-simplify]: Simplify (log n) into (log n) 0.830 * [backup-simplify]: Simplify (+ 1 0) into 1 0.830 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.831 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 0.832 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 0.833 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 0.834 * [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))))) 0.835 * [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))))) 0.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.837 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.838 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 0.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.839 * [backup-simplify]: Simplify (+ 0 0) into 0 0.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 0.841 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.842 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 0.844 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.844 * [taylor]: Taking taylor expansion of 0 in k 0.844 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.850 * [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 0.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.850 * [backup-simplify]: Simplify (+ 0 0) into 0 0.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 0.853 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.854 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 0.856 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.856 * [taylor]: Taking taylor expansion of 0 in k 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.859 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.865 * [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 0.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.865 * [backup-simplify]: Simplify (+ 0 0) into 0 0.867 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 0.868 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.870 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 0.872 * [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 0.872 * [taylor]: Taking taylor expansion of 0 in k 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify 0 into 0 0.873 * [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)))))) 0.873 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.874 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 0.874 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.874 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.874 * [taylor]: Taking taylor expansion of 2 in n 0.874 * [backup-simplify]: Simplify 2 into 2 0.874 * [taylor]: Taking taylor expansion of (* n PI) in n 0.874 * [taylor]: Taking taylor expansion of n in n 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 1 into 1 0.874 * [taylor]: Taking taylor expansion of PI in n 0.874 * [backup-simplify]: Simplify PI into PI 0.874 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.874 * [taylor]: Taking taylor expansion of 2 in n 0.874 * [backup-simplify]: Simplify 2 into 2 0.874 * [taylor]: Taking taylor expansion of (* n PI) in n 0.874 * [taylor]: Taking taylor expansion of n in n 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 1 into 1 0.874 * [taylor]: Taking taylor expansion of PI in n 0.874 * [backup-simplify]: Simplify PI into PI 0.875 * [backup-simplify]: Simplify (* 0 PI) into 0 0.875 * [backup-simplify]: Simplify (* 2 0) into 0 0.875 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.878 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.879 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.880 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.881 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.881 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.883 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.883 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.886 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.886 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.889 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.889 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.892 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.892 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.896 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.896 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 0.897 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 0.897 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.897 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.897 * [taylor]: Taking taylor expansion of 2 in n 0.897 * [backup-simplify]: Simplify 2 into 2 0.897 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.897 * [taylor]: Taking taylor expansion of PI in n 0.897 * [backup-simplify]: Simplify PI into PI 0.897 * [taylor]: Taking taylor expansion of n in n 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 1 into 1 0.898 * [backup-simplify]: Simplify (/ PI 1) into PI 0.898 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.898 * [taylor]: Taking taylor expansion of 2 in n 0.898 * [backup-simplify]: Simplify 2 into 2 0.898 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.898 * [taylor]: Taking taylor expansion of PI in n 0.898 * [backup-simplify]: Simplify PI into PI 0.898 * [taylor]: Taking taylor expansion of n in n 0.898 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify 1 into 1 0.898 * [backup-simplify]: Simplify (/ PI 1) into PI 0.899 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.899 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.901 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.901 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.905 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.905 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.910 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.910 * [backup-simplify]: Simplify 0 into 0 0.911 * [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 0.913 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 0.914 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 0.914 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.914 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.914 * [taylor]: Taking taylor expansion of -2 in n 0.914 * [backup-simplify]: Simplify -2 into -2 0.914 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.914 * [taylor]: Taking taylor expansion of PI in n 0.914 * [backup-simplify]: Simplify PI into PI 0.914 * [taylor]: Taking taylor expansion of n in n 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 1 into 1 0.915 * [backup-simplify]: Simplify (/ PI 1) into PI 0.915 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.915 * [taylor]: Taking taylor expansion of -2 in n 0.915 * [backup-simplify]: Simplify -2 into -2 0.915 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.915 * [taylor]: Taking taylor expansion of PI in n 0.915 * [backup-simplify]: Simplify PI into PI 0.915 * [taylor]: Taking taylor expansion of n in n 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 1 into 1 0.915 * [backup-simplify]: Simplify (/ PI 1) into PI 0.916 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.916 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.918 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.920 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.922 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.924 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.924 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.932 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 0.932 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.933 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 0.933 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 0.933 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.933 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.933 * [taylor]: Taking taylor expansion of k in k 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 1 into 1 0.933 * [backup-simplify]: Simplify (/ 1 1) into 1 0.934 * [backup-simplify]: Simplify (sqrt 0) into 0 0.935 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.935 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.935 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.935 * [taylor]: Taking taylor expansion of k in k 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 1 into 1 0.936 * [backup-simplify]: Simplify (/ 1 1) into 1 0.936 * [backup-simplify]: Simplify (sqrt 0) into 0 0.937 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.941 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.946 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.947 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 0.947 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 0.947 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 0.947 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.947 * [taylor]: Taking taylor expansion of k in k 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify 1 into 1 0.947 * [backup-simplify]: Simplify (sqrt 0) into 0 0.949 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.949 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.949 * [taylor]: Taking taylor expansion of k in k 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 1 into 1 0.949 * [backup-simplify]: Simplify (sqrt 0) into 0 0.950 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.950 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.953 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.953 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.957 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.957 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.958 * [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)))))))) 0.958 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 0.958 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 0.958 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 0.958 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.958 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.958 * [taylor]: Taking taylor expansion of -1 in k 0.958 * [backup-simplify]: Simplify -1 into -1 0.958 * [taylor]: Taking taylor expansion of k in k 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 1 into 1 0.959 * [backup-simplify]: Simplify (/ -1 1) into -1 0.959 * [backup-simplify]: Simplify (sqrt 0) into 0 0.960 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.961 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 0.961 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 0.961 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.961 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.961 * [taylor]: Taking taylor expansion of -1 in k 0.961 * [backup-simplify]: Simplify -1 into -1 0.961 * [taylor]: Taking taylor expansion of k in k 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 1 into 1 0.962 * [backup-simplify]: Simplify (/ -1 1) into -1 0.962 * [backup-simplify]: Simplify (sqrt 0) into 0 0.963 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.964 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 0.964 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.967 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.969 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 0.970 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.975 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.978 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 0.979 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.980 * [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))))) 0.980 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.980 * [backup-simplify]: Simplify (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 0.980 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 0.980 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.981 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.981 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.981 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.981 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.981 * [taylor]: Taking taylor expansion of 1/2 in n 0.981 * [backup-simplify]: Simplify 1/2 into 1/2 0.981 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.981 * [taylor]: Taking taylor expansion of 1 in n 0.981 * [backup-simplify]: Simplify 1 into 1 0.981 * [taylor]: Taking taylor expansion of k in n 0.981 * [backup-simplify]: Simplify k into k 0.981 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.981 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.981 * [taylor]: Taking taylor expansion of 2 in n 0.981 * [backup-simplify]: Simplify 2 into 2 0.981 * [taylor]: Taking taylor expansion of (* n PI) in n 0.981 * [taylor]: Taking taylor expansion of n in n 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 1 into 1 0.981 * [taylor]: Taking taylor expansion of PI in n 0.981 * [backup-simplify]: Simplify PI into PI 0.981 * [backup-simplify]: Simplify (* 0 PI) into 0 0.982 * [backup-simplify]: Simplify (* 2 0) into 0 0.983 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.985 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.986 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.986 * [backup-simplify]: Simplify (- k) into (- k) 0.986 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.986 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.987 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.988 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.989 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.989 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.989 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.989 * [taylor]: Taking taylor expansion of k in n 0.989 * [backup-simplify]: Simplify k into k 0.989 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.989 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.990 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.990 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.990 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.990 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.990 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.990 * [taylor]: Taking taylor expansion of 1/2 in k 0.990 * [backup-simplify]: Simplify 1/2 into 1/2 0.990 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.990 * [taylor]: Taking taylor expansion of 1 in k 0.990 * [backup-simplify]: Simplify 1 into 1 0.990 * [taylor]: Taking taylor expansion of k in k 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify 1 into 1 0.990 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.990 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.990 * [taylor]: Taking taylor expansion of 2 in k 0.990 * [backup-simplify]: Simplify 2 into 2 0.990 * [taylor]: Taking taylor expansion of (* n PI) in k 0.990 * [taylor]: Taking taylor expansion of n in k 0.990 * [backup-simplify]: Simplify n into n 0.990 * [taylor]: Taking taylor expansion of PI in k 0.990 * [backup-simplify]: Simplify PI into PI 0.990 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.990 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.990 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.991 * [backup-simplify]: Simplify (- 0) into 0 0.991 * [backup-simplify]: Simplify (+ 1 0) into 1 0.992 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.992 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.992 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.992 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.992 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.992 * [taylor]: Taking taylor expansion of k in k 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify 1 into 1 0.992 * [backup-simplify]: Simplify (/ 1 1) into 1 0.993 * [backup-simplify]: Simplify (sqrt 0) into 0 0.994 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.994 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.994 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.994 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.994 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.994 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.994 * [taylor]: Taking taylor expansion of 1/2 in k 0.994 * [backup-simplify]: Simplify 1/2 into 1/2 0.994 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.994 * [taylor]: Taking taylor expansion of 1 in k 0.994 * [backup-simplify]: Simplify 1 into 1 0.994 * [taylor]: Taking taylor expansion of k in k 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify 1 into 1 0.994 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.994 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.995 * [taylor]: Taking taylor expansion of 2 in k 0.995 * [backup-simplify]: Simplify 2 into 2 0.995 * [taylor]: Taking taylor expansion of (* n PI) in k 0.995 * [taylor]: Taking taylor expansion of n in k 0.995 * [backup-simplify]: Simplify n into n 0.995 * [taylor]: Taking taylor expansion of PI in k 0.995 * [backup-simplify]: Simplify PI into PI 0.995 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.995 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.995 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.995 * [backup-simplify]: Simplify (- 0) into 0 0.996 * [backup-simplify]: Simplify (+ 1 0) into 1 0.996 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.996 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.996 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.996 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.996 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.996 * [taylor]: Taking taylor expansion of k in k 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify 1 into 1 0.997 * [backup-simplify]: Simplify (/ 1 1) into 1 0.997 * [backup-simplify]: Simplify (sqrt 0) into 0 0.998 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.999 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 0.999 * [taylor]: Taking taylor expansion of 0 in n 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 1.000 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1.000 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1.001 * [backup-simplify]: Simplify (- 1) into -1 1.001 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.002 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 1.002 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1.003 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1.003 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1.003 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1.003 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1.003 * [taylor]: Taking taylor expansion of +nan.0 in n 1.003 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.003 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1.003 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.003 * [taylor]: Taking taylor expansion of 2 in n 1.003 * [backup-simplify]: Simplify 2 into 2 1.004 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.004 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 1.004 * [taylor]: Taking taylor expansion of (* n PI) in n 1.005 * [taylor]: Taking taylor expansion of n in n 1.005 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify 1 into 1 1.005 * [taylor]: Taking taylor expansion of PI in n 1.005 * [backup-simplify]: Simplify PI into PI 1.005 * [backup-simplify]: Simplify (* 0 PI) into 0 1.006 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.007 * [backup-simplify]: Simplify (sqrt 0) into 0 1.008 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1.009 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 1.009 * [backup-simplify]: Simplify (* +nan.0 0) into 0 1.009 * [backup-simplify]: Simplify (- 0) into 0 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.013 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.014 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1.015 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1.016 * [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 1.016 * [backup-simplify]: Simplify (- 0) into 0 1.017 * [backup-simplify]: Simplify (+ 0 0) into 0 1.017 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 1.018 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1.018 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1.019 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 1.019 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1.019 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1.019 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1.019 * [taylor]: Taking taylor expansion of +nan.0 in n 1.019 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.019 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1.019 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1.019 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.019 * [taylor]: Taking taylor expansion of 2 in n 1.019 * [backup-simplify]: Simplify 2 into 2 1.019 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.020 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.020 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.020 * [taylor]: Taking taylor expansion of 2 in n 1.020 * [backup-simplify]: Simplify 2 into 2 1.020 * [taylor]: Taking taylor expansion of (* n PI) in n 1.020 * [taylor]: Taking taylor expansion of n in n 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 1 into 1 1.020 * [taylor]: Taking taylor expansion of PI in n 1.020 * [backup-simplify]: Simplify PI into PI 1.020 * [backup-simplify]: Simplify (* 0 PI) into 0 1.020 * [backup-simplify]: Simplify (* 2 0) into 0 1.021 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.022 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.023 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.023 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 1.023 * [taylor]: Taking taylor expansion of (* n PI) in n 1.023 * [taylor]: Taking taylor expansion of n in n 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify 1 into 1 1.023 * [taylor]: Taking taylor expansion of PI in n 1.023 * [backup-simplify]: Simplify PI into PI 1.023 * [backup-simplify]: Simplify (* 0 PI) into 0 1.024 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.024 * [backup-simplify]: Simplify (sqrt 0) into 0 1.025 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1.025 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1.025 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1.025 * [taylor]: Taking taylor expansion of +nan.0 in n 1.025 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.025 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1.025 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.025 * [taylor]: Taking taylor expansion of 2 in n 1.025 * [backup-simplify]: Simplify 2 into 2 1.025 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.026 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 1.026 * [taylor]: Taking taylor expansion of (* n PI) in n 1.026 * [taylor]: Taking taylor expansion of n in n 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 1 into 1 1.026 * [taylor]: Taking taylor expansion of PI in n 1.026 * [backup-simplify]: Simplify PI into PI 1.026 * [backup-simplify]: Simplify (* 0 PI) into 0 1.027 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.027 * [backup-simplify]: Simplify (sqrt 0) into 0 1.028 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1.029 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.030 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1.031 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1.031 * [backup-simplify]: Simplify (* +nan.0 0) into 0 1.031 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 1.031 * [backup-simplify]: Simplify (* +nan.0 0) into 0 1.032 * [backup-simplify]: Simplify (- 0) into 0 1.032 * [backup-simplify]: Simplify (+ 0 0) into 0 1.032 * [backup-simplify]: Simplify (- 0) into 0 1.032 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1.037 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1.039 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1.040 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1.040 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.044 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.045 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.047 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1.049 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 1.050 * [backup-simplify]: Simplify (- 0) into 0 1.050 * [backup-simplify]: Simplify (+ 0 0) into 0 1.054 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 1.056 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1.057 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 1.059 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) 1.059 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n 1.059 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n 1.059 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1.059 * [taylor]: Taking taylor expansion of +nan.0 in n 1.059 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.059 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1.059 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1.059 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.059 * [taylor]: Taking taylor expansion of 2 in n 1.059 * [backup-simplify]: Simplify 2 into 2 1.059 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.060 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.060 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.060 * [taylor]: Taking taylor expansion of 2 in n 1.060 * [backup-simplify]: Simplify 2 into 2 1.060 * [taylor]: Taking taylor expansion of (* n PI) in n 1.060 * [taylor]: Taking taylor expansion of n in n 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 1 into 1 1.060 * [taylor]: Taking taylor expansion of PI in n 1.060 * [backup-simplify]: Simplify PI into PI 1.061 * [backup-simplify]: Simplify (* 0 PI) into 0 1.061 * [backup-simplify]: Simplify (* 2 0) into 0 1.062 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.064 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.065 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.065 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 1.065 * [taylor]: Taking taylor expansion of (* n PI) in n 1.065 * [taylor]: Taking taylor expansion of n in n 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 1 into 1 1.065 * [taylor]: Taking taylor expansion of PI in n 1.065 * [backup-simplify]: Simplify PI into PI 1.065 * [backup-simplify]: Simplify (* 0 PI) into 0 1.067 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.067 * [backup-simplify]: Simplify (sqrt 0) into 0 1.068 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1.068 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n 1.069 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n 1.069 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1.069 * [taylor]: Taking taylor expansion of +nan.0 in n 1.069 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.069 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1.069 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.069 * [taylor]: Taking taylor expansion of 2 in n 1.069 * [backup-simplify]: Simplify 2 into 2 1.069 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.070 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 1.070 * [taylor]: Taking taylor expansion of (* n PI) in n 1.070 * [taylor]: Taking taylor expansion of n in n 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify 1 into 1 1.070 * [taylor]: Taking taylor expansion of PI in n 1.070 * [backup-simplify]: Simplify PI into PI 1.070 * [backup-simplify]: Simplify (* 0 PI) into 0 1.072 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.072 * [backup-simplify]: Simplify (sqrt 0) into 0 1.073 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1.073 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 1.073 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1.073 * [taylor]: Taking taylor expansion of +nan.0 in n 1.073 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.073 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1.073 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1.074 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.074 * [taylor]: Taking taylor expansion of 2 in n 1.074 * [backup-simplify]: Simplify 2 into 2 1.074 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.075 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1.075 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.075 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.075 * [taylor]: Taking taylor expansion of 2 in n 1.075 * [backup-simplify]: Simplify 2 into 2 1.075 * [taylor]: Taking taylor expansion of (* n PI) in n 1.075 * [taylor]: Taking taylor expansion of n in n 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 1 into 1 1.075 * [taylor]: Taking taylor expansion of PI in n 1.075 * [backup-simplify]: Simplify PI into PI 1.075 * [backup-simplify]: Simplify (* 0 PI) into 0 1.076 * [backup-simplify]: Simplify (* 2 0) into 0 1.077 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.079 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.079 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.081 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.081 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 1.081 * [taylor]: Taking taylor expansion of (* n PI) in n 1.081 * [taylor]: Taking taylor expansion of n in n 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.081 * [taylor]: Taking taylor expansion of PI in n 1.081 * [backup-simplify]: Simplify PI into PI 1.081 * [backup-simplify]: Simplify (* 0 PI) into 0 1.083 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.083 * [backup-simplify]: Simplify (sqrt 0) into 0 1.085 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1.086 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.087 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1.089 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1.089 * [backup-simplify]: Simplify (* +nan.0 0) into 0 1.090 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 1.090 * [backup-simplify]: Simplify (* +nan.0 0) into 0 1.091 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.093 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.095 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1.096 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1.098 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1.098 * [backup-simplify]: Simplify (* +nan.0 0) into 0 1.098 * [backup-simplify]: Simplify (- 0) into 0 1.099 * [backup-simplify]: Simplify (+ 0 0) into 0 1.099 * [backup-simplify]: Simplify (- 0) into 0 1.099 * [backup-simplify]: Simplify (+ 0 0) into 0 1.100 * [backup-simplify]: Simplify (- 0) into 0 1.100 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.102 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1.104 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.105 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.107 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1.109 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1.115 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1.118 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1.123 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1.127 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1.135 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 1.143 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1.150 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1.151 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.155 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1.156 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.161 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1.170 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1.174 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1.177 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1.194 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1.195 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 1.195 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 1.195 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.195 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.195 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.195 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.195 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.195 * [taylor]: Taking taylor expansion of 1/2 in n 1.195 * [backup-simplify]: Simplify 1/2 into 1/2 1.195 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.195 * [taylor]: Taking taylor expansion of 1 in n 1.195 * [backup-simplify]: Simplify 1 into 1 1.195 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.195 * [taylor]: Taking taylor expansion of k in n 1.195 * [backup-simplify]: Simplify k into k 1.195 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.195 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.195 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.195 * [taylor]: Taking taylor expansion of 2 in n 1.195 * [backup-simplify]: Simplify 2 into 2 1.195 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.195 * [taylor]: Taking taylor expansion of PI in n 1.195 * [backup-simplify]: Simplify PI into PI 1.195 * [taylor]: Taking taylor expansion of n in n 1.195 * [backup-simplify]: Simplify 0 into 0 1.195 * [backup-simplify]: Simplify 1 into 1 1.196 * [backup-simplify]: Simplify (/ PI 1) into PI 1.196 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.197 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.197 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.197 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.198 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.199 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.200 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.201 * [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))))) 1.201 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.201 * [taylor]: Taking taylor expansion of k in n 1.201 * [backup-simplify]: Simplify k into k 1.201 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.201 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.201 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.201 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.201 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.201 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.201 * [taylor]: Taking taylor expansion of 1/2 in k 1.201 * [backup-simplify]: Simplify 1/2 into 1/2 1.202 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.202 * [taylor]: Taking taylor expansion of 1 in k 1.202 * [backup-simplify]: Simplify 1 into 1 1.202 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.202 * [taylor]: Taking taylor expansion of k in k 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify 1 into 1 1.202 * [backup-simplify]: Simplify (/ 1 1) into 1 1.202 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.202 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.202 * [taylor]: Taking taylor expansion of 2 in k 1.202 * [backup-simplify]: Simplify 2 into 2 1.202 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.202 * [taylor]: Taking taylor expansion of PI in k 1.202 * [backup-simplify]: Simplify PI into PI 1.202 * [taylor]: Taking taylor expansion of n in k 1.202 * [backup-simplify]: Simplify n into n 1.202 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.202 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.202 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.203 * [backup-simplify]: Simplify (- 1) into -1 1.203 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.204 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.204 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.204 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.204 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.204 * [taylor]: Taking taylor expansion of k in k 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify 1 into 1 1.205 * [backup-simplify]: Simplify (sqrt 0) into 0 1.206 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.206 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.206 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.206 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.206 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.206 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.206 * [taylor]: Taking taylor expansion of 1/2 in k 1.206 * [backup-simplify]: Simplify 1/2 into 1/2 1.206 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.206 * [taylor]: Taking taylor expansion of 1 in k 1.206 * [backup-simplify]: Simplify 1 into 1 1.206 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.206 * [taylor]: Taking taylor expansion of k in k 1.207 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify 1 into 1 1.207 * [backup-simplify]: Simplify (/ 1 1) into 1 1.207 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.207 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.207 * [taylor]: Taking taylor expansion of 2 in k 1.207 * [backup-simplify]: Simplify 2 into 2 1.207 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.207 * [taylor]: Taking taylor expansion of PI in k 1.207 * [backup-simplify]: Simplify PI into PI 1.207 * [taylor]: Taking taylor expansion of n in k 1.207 * [backup-simplify]: Simplify n into n 1.207 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.207 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.207 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.208 * [backup-simplify]: Simplify (- 1) into -1 1.208 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.209 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.209 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.209 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.209 * [taylor]: Taking taylor expansion of (sqrt 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 1.210 * [backup-simplify]: Simplify (sqrt 0) into 0 1.211 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.211 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 1.211 * [taylor]: Taking taylor expansion of 0 in n 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 1.212 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 1.212 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 1.212 * [taylor]: Taking taylor expansion of +nan.0 in n 1.212 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.212 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 1.212 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 1.212 * [taylor]: Taking taylor expansion of 1/2 in n 1.212 * [backup-simplify]: Simplify 1/2 into 1/2 1.212 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 1.212 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.212 * [taylor]: Taking taylor expansion of 1 in n 1.212 * [backup-simplify]: Simplify 1 into 1 1.212 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.212 * [taylor]: Taking taylor expansion of k in n 1.213 * [backup-simplify]: Simplify k into k 1.213 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.213 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.213 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.213 * [taylor]: Taking taylor expansion of 2 in n 1.213 * [backup-simplify]: Simplify 2 into 2 1.213 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.213 * [taylor]: Taking taylor expansion of PI in n 1.213 * [backup-simplify]: Simplify PI into PI 1.213 * [taylor]: Taking taylor expansion of n in n 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify 1 into 1 1.213 * [backup-simplify]: Simplify (/ PI 1) into PI 1.214 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.215 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.215 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.215 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.216 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.217 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 1.218 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.219 * [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))))) 1.220 * [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)))))) 1.222 * [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))))))) 1.223 * [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))))))) 1.223 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.227 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 1.227 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 1.227 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 1.227 * [taylor]: Taking taylor expansion of +nan.0 in n 1.227 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.227 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 1.227 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 1.227 * [taylor]: Taking taylor expansion of 1/2 in n 1.227 * [backup-simplify]: Simplify 1/2 into 1/2 1.227 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 1.227 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.227 * [taylor]: Taking taylor expansion of 1 in n 1.227 * [backup-simplify]: Simplify 1 into 1 1.227 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.227 * [taylor]: Taking taylor expansion of k in n 1.227 * [backup-simplify]: Simplify k into k 1.227 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.227 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.227 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.227 * [taylor]: Taking taylor expansion of 2 in n 1.227 * [backup-simplify]: Simplify 2 into 2 1.227 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.227 * [taylor]: Taking taylor expansion of PI in n 1.227 * [backup-simplify]: Simplify PI into PI 1.227 * [taylor]: Taking taylor expansion of n in n 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify 1 into 1 1.228 * [backup-simplify]: Simplify (/ PI 1) into PI 1.228 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.229 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.229 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.229 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.231 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.232 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 1.233 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.234 * [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))))) 1.235 * [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)))))) 1.236 * [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))))))) 1.237 * [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))))))) 1.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.239 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.241 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.241 * [backup-simplify]: Simplify (- 0) into 0 1.242 * [backup-simplify]: Simplify (+ 0 0) into 0 1.243 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.244 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 1.247 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.249 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 1.249 * [backup-simplify]: Simplify (- 0) into 0 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.255 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 1.255 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 1.255 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 1.255 * [taylor]: Taking taylor expansion of +nan.0 in n 1.255 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.255 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 1.255 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 1.255 * [taylor]: Taking taylor expansion of 1/2 in n 1.255 * [backup-simplify]: Simplify 1/2 into 1/2 1.255 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 1.255 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.255 * [taylor]: Taking taylor expansion of 1 in n 1.255 * [backup-simplify]: Simplify 1 into 1 1.255 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.255 * [taylor]: Taking taylor expansion of k in n 1.255 * [backup-simplify]: Simplify k into k 1.255 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.255 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.255 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.255 * [taylor]: Taking taylor expansion of 2 in n 1.255 * [backup-simplify]: Simplify 2 into 2 1.255 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.255 * [taylor]: Taking taylor expansion of PI in n 1.255 * [backup-simplify]: Simplify PI into PI 1.255 * [taylor]: Taking taylor expansion of n in n 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 1 into 1 1.256 * [backup-simplify]: Simplify (/ PI 1) into PI 1.256 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.257 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.257 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.258 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.259 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.260 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 1.261 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.262 * [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))))) 1.263 * [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)))))) 1.265 * [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))))))) 1.266 * [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))))))) 1.270 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) 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)))))))) 1.270 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 1.270 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0 1.270 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.271 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.271 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.271 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.271 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.271 * [taylor]: Taking taylor expansion of 1/2 in n 1.271 * [backup-simplify]: Simplify 1/2 into 1/2 1.271 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.271 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.271 * [taylor]: Taking taylor expansion of k in n 1.271 * [backup-simplify]: Simplify k into k 1.271 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.271 * [taylor]: Taking taylor expansion of 1 in n 1.271 * [backup-simplify]: Simplify 1 into 1 1.271 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.271 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.271 * [taylor]: Taking taylor expansion of -2 in n 1.271 * [backup-simplify]: Simplify -2 into -2 1.271 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.271 * [taylor]: Taking taylor expansion of PI in n 1.271 * [backup-simplify]: Simplify PI into PI 1.271 * [taylor]: Taking taylor expansion of n in n 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify 1 into 1 1.272 * [backup-simplify]: Simplify (/ PI 1) into PI 1.272 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.273 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.273 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.273 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.274 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.275 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.277 * [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))))) 1.277 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.277 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.277 * [taylor]: Taking taylor expansion of -1 in n 1.277 * [backup-simplify]: Simplify -1 into -1 1.277 * [taylor]: Taking taylor expansion of k in n 1.277 * [backup-simplify]: Simplify k into k 1.277 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.277 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.277 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.278 * [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))) 1.278 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.278 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.278 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.278 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.278 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.278 * [taylor]: Taking taylor expansion of 1/2 in k 1.278 * [backup-simplify]: Simplify 1/2 into 1/2 1.278 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.279 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.279 * [taylor]: Taking taylor expansion of k in k 1.279 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify 1 into 1 1.279 * [backup-simplify]: Simplify (/ 1 1) into 1 1.279 * [taylor]: Taking taylor expansion of 1 in k 1.279 * [backup-simplify]: Simplify 1 into 1 1.279 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.279 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.279 * [taylor]: Taking taylor expansion of -2 in k 1.279 * [backup-simplify]: Simplify -2 into -2 1.279 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.279 * [taylor]: Taking taylor expansion of PI in k 1.279 * [backup-simplify]: Simplify PI into PI 1.279 * [taylor]: Taking taylor expansion of n in k 1.279 * [backup-simplify]: Simplify n into n 1.279 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.279 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.279 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.280 * [backup-simplify]: Simplify (+ 1 0) into 1 1.280 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.280 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.281 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.281 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.281 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.281 * [taylor]: Taking taylor expansion of -1 in k 1.281 * [backup-simplify]: Simplify -1 into -1 1.281 * [taylor]: Taking taylor expansion of k in k 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify 1 into 1 1.281 * [backup-simplify]: Simplify (/ -1 1) into -1 1.282 * [backup-simplify]: Simplify (sqrt 0) into 0 1.283 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.283 * [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))))) 1.283 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.283 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.283 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.283 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.284 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.284 * [taylor]: Taking taylor expansion of 1/2 in k 1.284 * [backup-simplify]: Simplify 1/2 into 1/2 1.284 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.284 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.284 * [taylor]: Taking taylor expansion of k in k 1.284 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify 1 into 1 1.284 * [backup-simplify]: Simplify (/ 1 1) into 1 1.284 * [taylor]: Taking taylor expansion of 1 in k 1.284 * [backup-simplify]: Simplify 1 into 1 1.284 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.284 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.284 * [taylor]: Taking taylor expansion of -2 in k 1.284 * [backup-simplify]: Simplify -2 into -2 1.284 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.284 * [taylor]: Taking taylor expansion of PI in k 1.284 * [backup-simplify]: Simplify PI into PI 1.284 * [taylor]: Taking taylor expansion of n in k 1.284 * [backup-simplify]: Simplify n into n 1.284 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.284 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.285 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.285 * [backup-simplify]: Simplify (+ 1 0) into 1 1.285 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.286 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.286 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.286 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.286 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.286 * [taylor]: Taking taylor expansion of -1 in k 1.286 * [backup-simplify]: Simplify -1 into -1 1.286 * [taylor]: Taking taylor expansion of k in k 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify 1 into 1 1.286 * [backup-simplify]: Simplify (/ -1 1) into -1 1.287 * [backup-simplify]: Simplify (sqrt 0) into 0 1.288 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.288 * [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))))) 1.288 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 1.288 * [taylor]: Taking taylor expansion of +nan.0 in n 1.288 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.288 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 1.288 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 1.288 * [taylor]: Taking taylor expansion of 1/2 in n 1.288 * [backup-simplify]: Simplify 1/2 into 1/2 1.288 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 1.289 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.289 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.289 * [taylor]: Taking taylor expansion of -2 in n 1.289 * [backup-simplify]: Simplify -2 into -2 1.289 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.289 * [taylor]: Taking taylor expansion of PI in n 1.289 * [backup-simplify]: Simplify PI into PI 1.289 * [taylor]: Taking taylor expansion of n in n 1.289 * [backup-simplify]: Simplify 0 into 0 1.289 * [backup-simplify]: Simplify 1 into 1 1.289 * [backup-simplify]: Simplify (/ PI 1) into PI 1.290 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.291 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.291 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.291 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.291 * [taylor]: Taking taylor expansion of k in n 1.291 * [backup-simplify]: Simplify k into k 1.291 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.291 * [taylor]: Taking taylor expansion of 1 in n 1.291 * [backup-simplify]: Simplify 1 into 1 1.292 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.292 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.293 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 1.294 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.295 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1.296 * [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)))))) 1.297 * [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)))))) 1.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.302 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.303 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 1.303 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 1.303 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 1.303 * [taylor]: Taking taylor expansion of +nan.0 in n 1.303 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.303 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 1.303 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 1.303 * [taylor]: Taking taylor expansion of 1/2 in n 1.303 * [backup-simplify]: Simplify 1/2 into 1/2 1.303 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 1.303 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.303 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.303 * [taylor]: Taking taylor expansion of -2 in n 1.303 * [backup-simplify]: Simplify -2 into -2 1.303 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.303 * [taylor]: Taking taylor expansion of PI in n 1.303 * [backup-simplify]: Simplify PI into PI 1.303 * [taylor]: Taking taylor expansion of n in n 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 1 into 1 1.304 * [backup-simplify]: Simplify (/ PI 1) into PI 1.304 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.305 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.305 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.305 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.305 * [taylor]: Taking taylor expansion of k in n 1.305 * [backup-simplify]: Simplify k into k 1.305 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.305 * [taylor]: Taking taylor expansion of 1 in n 1.305 * [backup-simplify]: Simplify 1 into 1 1.307 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.307 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.308 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 1.309 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.310 * [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))))) 1.311 * [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)))))) 1.312 * [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))))))) 1.313 * [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))))))) 1.315 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.316 * [backup-simplify]: Simplify (+ 0 0) into 0 1.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.318 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.319 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.321 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 1.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 1.324 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.326 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 1.326 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.334 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.335 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 1.336 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 1.336 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 1.336 * [taylor]: Taking taylor expansion of +nan.0 in n 1.336 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.336 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 1.336 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 1.336 * [taylor]: Taking taylor expansion of 1/2 in n 1.336 * [backup-simplify]: Simplify 1/2 into 1/2 1.336 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 1.336 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.336 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.336 * [taylor]: Taking taylor expansion of -2 in n 1.336 * [backup-simplify]: Simplify -2 into -2 1.336 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.336 * [taylor]: Taking taylor expansion of PI in n 1.336 * [backup-simplify]: Simplify PI into PI 1.336 * [taylor]: Taking taylor expansion of n in n 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 1 into 1 1.337 * [backup-simplify]: Simplify (/ PI 1) into PI 1.337 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.338 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.338 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.338 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.338 * [taylor]: Taking taylor expansion of k in n 1.338 * [backup-simplify]: Simplify k into k 1.338 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.338 * [taylor]: Taking taylor expansion of 1 in n 1.338 * [backup-simplify]: Simplify 1 into 1 1.340 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.340 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.341 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 1.342 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.343 * [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))))) 1.345 * [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)))))) 1.346 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.347 * [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))))))) 1.351 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +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)))))))))))) 1.351 * * * [progress]: simplifying candidates 1.351 * * * * [progress]: [ 1 / 196 ] simplifiying candidate # 1.351 * * * * [progress]: [ 2 / 196 ] simplifiying candidate # 1.351 * * * * [progress]: [ 3 / 196 ] simplifiying candidate # 1.352 * [simplify]: Simplifying (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)) 1.352 * * [simplify]: iters left: 6 (13 enodes) 1.359 * * [simplify]: iters left: 5 (54 enodes) 1.369 * * [simplify]: iters left: 4 (97 enodes) 1.390 * * [simplify]: iters left: 3 (254 enodes) 1.495 * * [simplify]: Extracting #0: cost 1 inf + 0 1.496 * * [simplify]: Extracting #1: cost 34 inf + 0 1.496 * * [simplify]: Extracting #2: cost 101 inf + 73 1.497 * * [simplify]: Extracting #3: cost 129 inf + 1240 1.499 * * [simplify]: Extracting #4: cost 60 inf + 15084 1.508 * * [simplify]: Extracting #5: cost 5 inf + 32052 1.526 * * [simplify]: Extracting #6: cost 0 inf + 33789 1.541 * [simplify]: Simplified to (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) 1.541 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)))) 1.541 * * * * [progress]: [ 4 / 196 ] simplifiying candidate # 1.541 * [simplify]: Simplifying (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) 1.541 * * [simplify]: iters left: 6 (12 enodes) 1.546 * * [simplify]: iters left: 5 (52 enodes) 1.555 * * [simplify]: iters left: 4 (90 enodes) 1.573 * * [simplify]: iters left: 3 (207 enodes) 1.642 * * [simplify]: Extracting #0: cost 1 inf + 0 1.642 * * [simplify]: Extracting #1: cost 29 inf + 0 1.643 * * [simplify]: Extracting #2: cost 88 inf + 73 1.643 * * [simplify]: Extracting #3: cost 116 inf + 695 1.646 * * [simplify]: Extracting #4: cost 70 inf + 7498 1.653 * * [simplify]: Extracting #5: cost 27 inf + 17445 1.664 * * [simplify]: Extracting #6: cost 1 inf + 25793 1.675 * * [simplify]: Extracting #7: cost 0 inf + 26056 1.686 * [simplify]: Simplified to (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2) 1.687 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2)))) 1.687 * * * * [progress]: [ 5 / 196 ] simplifiying candidate # 1.687 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 1.687 * * [simplify]: iters left: 6 (11 enodes) 1.694 * * [simplify]: iters left: 5 (51 enodes) 1.713 * * [simplify]: iters left: 4 (97 enodes) 1.741 * * [simplify]: iters left: 3 (202 enodes) 1.824 * * [simplify]: Extracting #0: cost 1 inf + 0 1.824 * * [simplify]: Extracting #1: cost 31 inf + 0 1.824 * * [simplify]: Extracting #2: cost 93 inf + 2 1.825 * * [simplify]: Extracting #3: cost 128 inf + 201 1.828 * * [simplify]: Extracting #4: cost 93 inf + 4096 1.838 * * [simplify]: Extracting #5: cost 18 inf + 20213 1.848 * * [simplify]: Extracting #6: cost 0 inf + 24488 1.859 * * [simplify]: Extracting #7: cost 0 inf + 24378 1.870 * [simplify]: Simplified to (/ (- (log (* (* n 2) PI)) (* k (log (* (* n 2) PI)))) 2) 1.870 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (log (* (* n 2) PI)) (* k (log (* (* n 2) PI)))) 2)))) 1.870 * * * * [progress]: [ 6 / 196 ] simplifiying candidate # 1.870 * * * * [progress]: [ 7 / 196 ] simplifiying candidate # 1.871 * [simplify]: Simplifying (* (* 2 PI) n) 1.871 * * [simplify]: iters left: 4 (5 enodes) 1.874 * * [simplify]: iters left: 3 (19 enodes) 1.880 * * [simplify]: iters left: 2 (27 enodes) 1.889 * * [simplify]: iters left: 1 (32 enodes) 1.897 * * [simplify]: Extracting #0: cost 1 inf + 0 1.898 * * [simplify]: Extracting #1: cost 8 inf + 0 1.898 * * [simplify]: Extracting #2: cost 7 inf + 45 1.898 * * [simplify]: Extracting #3: cost 0 inf + 421 1.898 * [simplify]: Simplified to (* (* 2 PI) n) 1.898 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 1.898 * * * * [progress]: [ 8 / 196 ] simplifiying candidate # 1.899 * [simplify]: Simplifying (* (* 2 PI) n) 1.899 * * [simplify]: iters left: 4 (5 enodes) 1.902 * * [simplify]: iters left: 3 (19 enodes) 1.908 * * [simplify]: iters left: 2 (27 enodes) 1.916 * * [simplify]: iters left: 1 (32 enodes) 1.924 * * [simplify]: Extracting #0: cost 1 inf + 0 1.924 * * [simplify]: Extracting #1: cost 8 inf + 0 1.925 * * [simplify]: Extracting #2: cost 7 inf + 45 1.925 * * [simplify]: Extracting #3: cost 0 inf + 421 1.925 * [simplify]: Simplified to (* (* 2 PI) n) 1.925 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 1.925 * * * * [progress]: [ 9 / 196 ] simplifiying candidate # 1.926 * [simplify]: Simplifying (* (* 2 PI) n) 1.926 * * [simplify]: iters left: 4 (5 enodes) 1.929 * * [simplify]: iters left: 3 (19 enodes) 1.935 * * [simplify]: iters left: 2 (27 enodes) 1.943 * * [simplify]: iters left: 1 (32 enodes) 1.951 * * [simplify]: Extracting #0: cost 1 inf + 0 1.951 * * [simplify]: Extracting #1: cost 8 inf + 0 1.951 * * [simplify]: Extracting #2: cost 7 inf + 45 1.951 * * [simplify]: Extracting #3: cost 0 inf + 421 1.952 * [simplify]: Simplified to (* (* 2 PI) n) 1.952 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 1.952 * * * * [progress]: [ 10 / 196 ] simplifiying candidate # 1.952 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 1.952 * * [simplify]: iters left: 5 (8 enodes) 1.956 * * [simplify]: iters left: 4 (31 enodes) 1.967 * * [simplify]: iters left: 3 (51 enodes) 1.984 * * [simplify]: iters left: 2 (85 enodes) 2.016 * * [simplify]: iters left: 1 (152 enodes) 2.071 * * [simplify]: Extracting #0: cost 1 inf + 0 2.071 * * [simplify]: Extracting #1: cost 13 inf + 0 2.071 * * [simplify]: Extracting #2: cost 60 inf + 1 2.071 * * [simplify]: Extracting #3: cost 76 inf + 51 2.072 * * [simplify]: Extracting #4: cost 44 inf + 2846 2.073 * * [simplify]: Extracting #5: cost 21 inf + 7590 2.076 * * [simplify]: Extracting #6: cost 1 inf + 20687 2.078 * * [simplify]: Extracting #7: cost 0 inf + 20539 2.081 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 2.081 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) 2.081 * * * * [progress]: [ 11 / 196 ] simplifiying candidate # 2.081 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 2.082 * * [simplify]: iters left: 5 (6 enodes) 2.084 * * [simplify]: iters left: 4 (26 enodes) 2.088 * * [simplify]: iters left: 3 (35 enodes) 2.094 * * [simplify]: Extracting #0: cost 1 inf + 0 2.094 * * [simplify]: Extracting #1: cost 3 inf + 0 2.094 * * [simplify]: Extracting #2: cost 8 inf + 0 2.094 * * [simplify]: Extracting #3: cost 11 inf + 2 2.094 * * [simplify]: Extracting #4: cost 8 inf + 87 2.095 * * [simplify]: Extracting #5: cost 2 inf + 500 2.095 * * [simplify]: Extracting #6: cost 0 inf + 746 2.095 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 2.095 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) 2.095 * * * * [progress]: [ 12 / 196 ] simplifiying candidate # 2.096 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 2.096 * * [simplify]: iters left: 5 (6 enodes) 2.100 * * [simplify]: iters left: 4 (26 enodes) 2.111 * * [simplify]: iters left: 3 (35 enodes) 2.122 * * [simplify]: Extracting #0: cost 1 inf + 0 2.122 * * [simplify]: Extracting #1: cost 3 inf + 0 2.122 * * [simplify]: Extracting #2: cost 8 inf + 0 2.122 * * [simplify]: Extracting #3: cost 11 inf + 2 2.122 * * [simplify]: Extracting #4: cost 8 inf + 87 2.122 * * [simplify]: Extracting #5: cost 2 inf + 460 2.123 * * [simplify]: Extracting #6: cost 0 inf + 666 2.123 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 2.123 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) 2.123 * * * * [progress]: [ 13 / 196 ] simplifiying candidate # 2.124 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 2.124 * * [simplify]: iters left: 5 (7 enodes) 2.128 * * [simplify]: iters left: 4 (25 enodes) 2.136 * * [simplify]: iters left: 3 (30 enodes) 2.146 * * [simplify]: Extracting #0: cost 1 inf + 0 2.146 * * [simplify]: Extracting #1: cost 4 inf + 0 2.146 * * [simplify]: Extracting #2: cost 8 inf + 0 2.146 * * [simplify]: Extracting #3: cost 10 inf + 82 2.147 * * [simplify]: Extracting #4: cost 7 inf + 206 2.147 * * [simplify]: Extracting #5: cost 2 inf + 575 2.147 * * [simplify]: Extracting #6: cost 1 inf + 818 2.147 * * [simplify]: Extracting #7: cost 0 inf + 1061 2.148 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 2.148 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))) 2.148 * * * * [progress]: [ 14 / 196 ] simplifiying candidate # 2.148 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 2.148 * * [simplify]: iters left: 5 (7 enodes) 2.153 * * [simplify]: iters left: 4 (25 enodes) 2.162 * * [simplify]: iters left: 3 (30 enodes) 2.168 * * [simplify]: Extracting #0: cost 1 inf + 0 2.168 * * [simplify]: Extracting #1: cost 4 inf + 0 2.168 * * [simplify]: Extracting #2: cost 8 inf + 0 2.168 * * [simplify]: Extracting #3: cost 10 inf + 42 2.168 * * [simplify]: Extracting #4: cost 7 inf + 126 2.168 * * [simplify]: Extracting #5: cost 2 inf + 495 2.168 * * [simplify]: Extracting #6: cost 1 inf + 698 2.168 * * [simplify]: Extracting #7: cost 0 inf + 901 2.168 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 2.168 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))) 2.168 * * * * [progress]: [ 15 / 196 ] simplifiying candidate # 2.169 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 2.169 * * [simplify]: iters left: 5 (6 enodes) 2.171 * * [simplify]: iters left: 4 (22 enodes) 2.175 * * [simplify]: iters left: 3 (27 enodes) 2.179 * * [simplify]: Extracting #0: cost 1 inf + 0 2.179 * * [simplify]: Extracting #1: cost 4 inf + 0 2.179 * * [simplify]: Extracting #2: cost 5 inf + 1 2.179 * * [simplify]: Extracting #3: cost 9 inf + 1 2.179 * * [simplify]: Extracting #4: cost 8 inf + 3 2.179 * * [simplify]: Extracting #5: cost 4 inf + 169 2.179 * * [simplify]: Extracting #6: cost 1 inf + 576 2.179 * * [simplify]: Extracting #7: cost 0 inf + 739 2.180 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 2.180 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))) 2.180 * * * * [progress]: [ 16 / 196 ] simplifiying candidate # 2.180 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 2.180 * * [simplify]: iters left: 5 (7 enodes) 2.182 * * [simplify]: iters left: 4 (25 enodes) 2.187 * * [simplify]: iters left: 3 (30 enodes) 2.192 * * [simplify]: Extracting #0: cost 1 inf + 0 2.192 * * [simplify]: Extracting #1: cost 4 inf + 0 2.192 * * [simplify]: Extracting #2: cost 8 inf + 0 2.192 * * [simplify]: Extracting #3: cost 10 inf + 82 2.193 * * [simplify]: Extracting #4: cost 7 inf + 206 2.193 * * [simplify]: Extracting #5: cost 2 inf + 495 2.193 * * [simplify]: Extracting #6: cost 1 inf + 698 2.193 * * [simplify]: Extracting #7: cost 0 inf + 901 2.193 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 2.193 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))) 2.193 * * * * [progress]: [ 17 / 196 ] simplifiying candidate # 2.193 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 2.193 * * [simplify]: iters left: 5 (7 enodes) 2.196 * * [simplify]: iters left: 4 (25 enodes) 2.202 * * [simplify]: iters left: 3 (30 enodes) 2.211 * * [simplify]: Extracting #0: cost 1 inf + 0 2.211 * * [simplify]: Extracting #1: cost 4 inf + 0 2.211 * * [simplify]: Extracting #2: cost 8 inf + 0 2.211 * * [simplify]: Extracting #3: cost 10 inf + 42 2.211 * * [simplify]: Extracting #4: cost 7 inf + 126 2.211 * * [simplify]: Extracting #5: cost 2 inf + 415 2.212 * * [simplify]: Extracting #6: cost 1 inf + 578 2.212 * * [simplify]: Extracting #7: cost 0 inf + 741 2.212 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 2.212 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))) 2.212 * * * * [progress]: [ 18 / 196 ] simplifiying candidate # 2.213 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 2.213 * * [simplify]: iters left: 5 (6 enodes) 2.216 * * [simplify]: iters left: 4 (22 enodes) 2.224 * * [simplify]: iters left: 3 (27 enodes) 2.232 * * [simplify]: Extracting #0: cost 1 inf + 0 2.232 * * [simplify]: Extracting #1: cost 4 inf + 0 2.232 * * [simplify]: Extracting #2: cost 5 inf + 1 2.232 * * [simplify]: Extracting #3: cost 9 inf + 1 2.232 * * [simplify]: Extracting #4: cost 8 inf + 3 2.233 * * [simplify]: Extracting #5: cost 4 inf + 169 2.233 * * [simplify]: Extracting #6: cost 1 inf + 456 2.233 * * [simplify]: Extracting #7: cost 0 inf + 579 2.233 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 2.233 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))) 2.233 * * * * [progress]: [ 19 / 196 ] simplifiying candidate # 2.234 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.234 * * [simplify]: iters left: 4 (6 enodes) 2.240 * * [simplify]: iters left: 3 (25 enodes) 2.249 * * [simplify]: iters left: 2 (36 enodes) 2.255 * * [simplify]: iters left: 1 (40 enodes) 2.262 * * [simplify]: Extracting #0: cost 1 inf + 0 2.262 * * [simplify]: Extracting #1: cost 7 inf + 0 2.262 * * [simplify]: Extracting #2: cost 16 inf + 0 2.262 * * [simplify]: Extracting #3: cost 13 inf + 44 2.262 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.262 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.262 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.262 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 2.263 * * * * [progress]: [ 20 / 196 ] simplifiying candidate # 2.263 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.263 * * [simplify]: iters left: 4 (6 enodes) 2.265 * * [simplify]: iters left: 3 (25 enodes) 2.270 * * [simplify]: iters left: 2 (36 enodes) 2.276 * * [simplify]: iters left: 1 (40 enodes) 2.283 * * [simplify]: Extracting #0: cost 1 inf + 0 2.283 * * [simplify]: Extracting #1: cost 7 inf + 0 2.283 * * [simplify]: Extracting #2: cost 16 inf + 0 2.283 * * [simplify]: Extracting #3: cost 13 inf + 44 2.283 * * [simplify]: Extracting #4: cost 3 inf + 823 2.283 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.283 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.283 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 2.283 * * * * [progress]: [ 21 / 196 ] simplifiying candidate # 2.284 * [simplify]: Simplifying (/ (- 1 k) 2) 2.284 * * [simplify]: iters left: 4 (5 enodes) 2.286 * * [simplify]: iters left: 3 (23 enodes) 2.290 * * [simplify]: iters left: 2 (32 enodes) 2.295 * * [simplify]: Extracting #0: cost 1 inf + 0 2.295 * * [simplify]: Extracting #1: cost 6 inf + 0 2.295 * * [simplify]: Extracting #2: cost 9 inf + 2 2.295 * * [simplify]: Extracting #3: cost 6 inf + 87 2.295 * * [simplify]: Extracting #4: cost 0 inf + 420 2.295 * [simplify]: Simplified to (/ (- 1 k) 2) 2.295 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 2.295 * * * * [progress]: [ 22 / 196 ] simplifiying candidate # 2.296 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2.296 * * [simplify]: iters left: 5 (8 enodes) 2.298 * * [simplify]: iters left: 4 (31 enodes) 2.304 * * [simplify]: iters left: 3 (45 enodes) 2.314 * * [simplify]: iters left: 2 (51 enodes) 2.328 * * [simplify]: iters left: 1 (52 enodes) 2.345 * * [simplify]: Extracting #0: cost 1 inf + 0 2.345 * * [simplify]: Extracting #1: cost 8 inf + 0 2.345 * * [simplify]: Extracting #2: cost 18 inf + 0 2.345 * * [simplify]: Extracting #3: cost 19 inf + 2 2.345 * * [simplify]: Extracting #4: cost 9 inf + 977 2.346 * * [simplify]: Extracting #5: cost 2 inf + 1790 2.346 * * [simplify]: Extracting #6: cost 0 inf + 2195 2.347 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.347 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 2.347 * * * * [progress]: [ 23 / 196 ] simplifiying candidate # 2.348 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2.348 * * [simplify]: iters left: 5 (8 enodes) 2.353 * * [simplify]: iters left: 4 (31 enodes) 2.363 * * [simplify]: iters left: 3 (45 enodes) 2.377 * * [simplify]: iters left: 2 (51 enodes) 2.392 * * [simplify]: iters left: 1 (52 enodes) 2.405 * * [simplify]: Extracting #0: cost 1 inf + 0 2.406 * * [simplify]: Extracting #1: cost 8 inf + 0 2.406 * * [simplify]: Extracting #2: cost 18 inf + 0 2.406 * * [simplify]: Extracting #3: cost 19 inf + 2 2.406 * * [simplify]: Extracting #4: cost 9 inf + 697 2.407 * * [simplify]: Extracting #5: cost 2 inf + 1390 2.407 * * [simplify]: Extracting #6: cost 0 inf + 1715 2.408 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.408 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 2.408 * * * * [progress]: [ 24 / 196 ] simplifiying candidate # 2.409 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 2.409 * * [simplify]: iters left: 5 (7 enodes) 2.414 * * [simplify]: iters left: 4 (29 enodes) 2.423 * * [simplify]: iters left: 3 (43 enodes) 2.435 * * [simplify]: iters left: 2 (47 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 11 inf + 2 2.443 * * [simplify]: Extracting #3: cost 13 inf + 3 2.443 * * [simplify]: Extracting #4: cost 11 inf + 45 2.443 * * [simplify]: Extracting #5: cost 0 inf + 1066 2.443 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.443 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 2.443 * * * * [progress]: [ 25 / 196 ] simplifiying candidate # 2.444 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 2.444 * * [simplify]: iters left: 5 (7 enodes) 2.446 * * [simplify]: iters left: 4 (28 enodes) 2.451 * * [simplify]: iters left: 3 (39 enodes) 2.457 * * [simplify]: iters left: 2 (43 enodes) 2.463 * * [simplify]: Extracting #0: cost 1 inf + 0 2.464 * * [simplify]: Extracting #1: cost 7 inf + 0 2.464 * * [simplify]: Extracting #2: cost 16 inf + 0 2.464 * * [simplify]: Extracting #3: cost 15 inf + 164 2.464 * * [simplify]: Extracting #4: cost 13 inf + 287 2.464 * * [simplify]: Extracting #5: cost 5 inf + 1180 2.464 * * [simplify]: Extracting #6: cost 0 inf + 1951 2.464 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.465 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 2.465 * * * * [progress]: [ 26 / 196 ] simplifiying candidate # 2.465 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 2.465 * * [simplify]: iters left: 5 (7 enodes) 2.468 * * [simplify]: iters left: 4 (28 enodes) 2.480 * * [simplify]: iters left: 3 (39 enodes) 2.492 * * [simplify]: iters left: 2 (43 enodes) 2.502 * * [simplify]: Extracting #0: cost 1 inf + 0 2.502 * * [simplify]: Extracting #1: cost 7 inf + 0 2.502 * * [simplify]: Extracting #2: cost 16 inf + 0 2.502 * * [simplify]: Extracting #3: cost 15 inf + 84 2.502 * * [simplify]: Extracting #4: cost 13 inf + 167 2.502 * * [simplify]: Extracting #5: cost 5 inf + 900 2.502 * * [simplify]: Extracting #6: cost 0 inf + 1551 2.503 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.503 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 2.503 * * * * [progress]: [ 27 / 196 ] simplifiying candidate # 2.503 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 2.503 * * [simplify]: iters left: 5 (6 enodes) 2.505 * * [simplify]: iters left: 4 (26 enodes) 2.510 * * [simplify]: iters left: 3 (35 enodes) 2.516 * * [simplify]: Extracting #0: cost 1 inf + 0 2.516 * * [simplify]: Extracting #1: cost 6 inf + 0 2.516 * * [simplify]: Extracting #2: cost 9 inf + 2 2.516 * * [simplify]: Extracting #3: cost 11 inf + 3 2.516 * * [simplify]: Extracting #4: cost 10 inf + 4 2.516 * * [simplify]: Extracting #5: cost 3 inf + 535 2.516 * * [simplify]: Extracting #6: cost 0 inf + 822 2.516 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.516 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 2.516 * * * * [progress]: [ 28 / 196 ] simplifiying candidate # 2.517 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.517 * * [simplify]: iters left: 4 (6 enodes) 2.519 * * [simplify]: iters left: 3 (25 enodes) 2.523 * * [simplify]: iters left: 2 (36 enodes) 2.529 * * [simplify]: iters left: 1 (40 enodes) 2.540 * * [simplify]: Extracting #0: cost 1 inf + 0 2.540 * * [simplify]: Extracting #1: cost 7 inf + 0 2.540 * * [simplify]: Extracting #2: cost 16 inf + 0 2.540 * * [simplify]: Extracting #3: cost 13 inf + 44 2.540 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.541 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.541 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.542 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 2.542 * * * * [progress]: [ 29 / 196 ] simplifiying candidate # 2.542 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.542 * * [simplify]: iters left: 4 (6 enodes) 2.546 * * [simplify]: iters left: 3 (25 enodes) 2.555 * * [simplify]: iters left: 2 (36 enodes) 2.562 * * [simplify]: iters left: 1 (40 enodes) 2.568 * * [simplify]: Extracting #0: cost 1 inf + 0 2.568 * * [simplify]: Extracting #1: cost 7 inf + 0 2.568 * * [simplify]: Extracting #2: cost 16 inf + 0 2.569 * * [simplify]: Extracting #3: cost 13 inf + 44 2.569 * * [simplify]: Extracting #4: cost 3 inf + 823 2.569 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.569 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.569 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 2.569 * * * * [progress]: [ 30 / 196 ] simplifiying candidate # 2.569 * [simplify]: Simplifying (/ (- 1 k) 2) 2.570 * * [simplify]: iters left: 4 (5 enodes) 2.571 * * [simplify]: iters left: 3 (23 enodes) 2.576 * * [simplify]: iters left: 2 (32 enodes) 2.581 * * [simplify]: Extracting #0: cost 1 inf + 0 2.581 * * [simplify]: Extracting #1: cost 6 inf + 0 2.581 * * [simplify]: Extracting #2: cost 9 inf + 2 2.581 * * [simplify]: Extracting #3: cost 6 inf + 87 2.581 * * [simplify]: Extracting #4: cost 0 inf + 420 2.581 * [simplify]: Simplified to (/ (- 1 k) 2) 2.581 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 2.581 * * * * [progress]: [ 31 / 196 ] simplifiying candidate # 2.581 * [simplify]: Simplifying (/ (- 1 k) 2) 2.581 * * [simplify]: iters left: 4 (5 enodes) 2.585 * * [simplify]: iters left: 3 (23 enodes) 2.589 * * [simplify]: iters left: 2 (32 enodes) 2.594 * * [simplify]: Extracting #0: cost 1 inf + 0 2.594 * * [simplify]: Extracting #1: cost 6 inf + 0 2.594 * * [simplify]: Extracting #2: cost 9 inf + 2 2.594 * * [simplify]: Extracting #3: cost 6 inf + 87 2.594 * * [simplify]: Extracting #4: cost 0 inf + 420 2.595 * [simplify]: Simplified to (/ (- 1 k) 2) 2.595 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 2.595 * * * * [progress]: [ 32 / 196 ] simplifiying candidate # 2.595 * [simplify]: Simplifying (/ 1 2) 2.595 * * [simplify]: iters left: 2 (3 enodes) 2.597 * * [simplify]: iters left: 1 (12 enodes) 2.599 * * [simplify]: Extracting #0: cost 1 inf + 0 2.599 * * [simplify]: Extracting #1: cost 0 inf + 1 2.599 * [simplify]: Simplified to 1/2 2.599 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2))) 2.599 * * * * [progress]: [ 33 / 196 ] simplifiying candidate # 2.599 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 2.599 * * [simplify]: iters left: 5 (8 enodes) 2.603 * * [simplify]: iters left: 4 (36 enodes) 2.615 * * [simplify]: iters left: 3 (57 enodes) 2.634 * * [simplify]: iters left: 2 (90 enodes) 2.667 * * [simplify]: iters left: 1 (176 enodes) 2.706 * * [simplify]: Extracting #0: cost 1 inf + 0 2.706 * * [simplify]: Extracting #1: cost 13 inf + 0 2.706 * * [simplify]: Extracting #2: cost 55 inf + 1 2.707 * * [simplify]: Extracting #3: cost 86 inf + 6 2.707 * * [simplify]: Extracting #4: cost 73 inf + 1511 2.708 * * [simplify]: Extracting #5: cost 26 inf + 9176 2.711 * * [simplify]: Extracting #6: cost 2 inf + 22574 2.715 * * [simplify]: Extracting #7: cost 0 inf + 23644 2.718 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 2.718 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) 2.718 * * * * [progress]: [ 34 / 196 ] simplifiying candidate # 2.718 * * * * [progress]: [ 35 / 196 ] simplifiying candidate # 2.718 * * * * [progress]: [ 36 / 196 ] simplifiying candidate # 2.718 * * * * [progress]: [ 37 / 196 ] simplifiying candidate # 2.718 * * * * [progress]: [ 38 / 196 ] simplifiying candidate # 2.718 * * * * [progress]: [ 39 / 196 ] simplifiying candidate # 2.718 * * * * [progress]: [ 40 / 196 ] simplifiying candidate # 2.718 * * * * [progress]: [ 41 / 196 ] simplifiying candidate # 2.718 * * * * [progress]: [ 42 / 196 ] simplifiying candidate #real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 2.718 * * * * [progress]: [ 43 / 196 ] simplifiying candidate # 2.718 * * * * [progress]: [ 44 / 196 ] simplifiying candidate # 2.719 * * * * [progress]: [ 45 / 196 ] simplifiying candidate # 2.719 * [simplify]: Simplifying (* (* 2 PI) n) 2.719 * * [simplify]: iters left: 4 (5 enodes) 2.720 * * [simplify]: iters left: 3 (19 enodes) 2.724 * * [simplify]: iters left: 2 (27 enodes) 2.728 * * [simplify]: iters left: 1 (32 enodes) 2.732 * * [simplify]: Extracting #0: cost 1 inf + 0 2.733 * * [simplify]: Extracting #1: cost 8 inf + 0 2.733 * * [simplify]: Extracting #2: cost 7 inf + 45 2.733 * * [simplify]: Extracting #3: cost 0 inf + 421 2.733 * [simplify]: Simplified to (* (* 2 PI) n) 2.733 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 2.733 * * * * [progress]: [ 46 / 196 ] simplifiying candidate # 2.733 * [simplify]: Simplifying (* (* 2 PI) n) 2.733 * * [simplify]: iters left: 4 (5 enodes) 2.735 * * [simplify]: iters left: 3 (19 enodes) 2.738 * * [simplify]: iters left: 2 (27 enodes) 2.742 * * [simplify]: iters left: 1 (32 enodes) 2.747 * * [simplify]: Extracting #0: cost 1 inf + 0 2.747 * * [simplify]: Extracting #1: cost 8 inf + 0 2.747 * * [simplify]: Extracting #2: cost 7 inf + 45 2.747 * * [simplify]: Extracting #3: cost 0 inf + 421 2.747 * [simplify]: Simplified to (* (* 2 PI) n) 2.747 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 2.747 * * * * [progress]: [ 47 / 196 ] simplifiying candidate # 2.747 * * * * [progress]: [ 48 / 196 ] simplifiying candidate # 2.747 * [simplify]: Simplifying (+ (+ (log 2) (log PI)) (log n)) 2.747 * * [simplify]: iters left: 5 (8 enodes) 2.750 * * [simplify]: iters left: 4 (28 enodes) 2.754 * * [simplify]: iters left: 3 (36 enodes) 2.760 * * [simplify]: iters left: 2 (42 enodes) 2.766 * * [simplify]: Extracting #0: cost 1 inf + 0 2.766 * * [simplify]: Extracting #1: cost 8 inf + 0 2.766 * * [simplify]: Extracting #2: cost 17 inf + 0 2.766 * * [simplify]: Extracting #3: cost 13 inf + 74 2.766 * * [simplify]: Extracting #4: cost 6 inf + 1015 2.767 * * [simplify]: Extracting #5: cost 0 inf + 2107 2.767 * [simplify]: Simplified to (+ (log 2) (+ (log PI) (log n))) 2.767 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log 2) (+ (log PI) (log n)))) (/ (- 1 k) 2)))) 2.767 * * * * [progress]: [ 49 / 196 ] simplifiying candidate # 2.767 * [simplify]: Simplifying (+ (log (* 2 PI)) (log n)) 2.767 * * [simplify]: iters left: 5 (7 enodes) 2.770 * * [simplify]: iters left: 4 (26 enodes) 2.776 * * [simplify]: iters left: 3 (35 enodes) 2.781 * * [simplify]: iters left: 2 (44 enodes) 2.789 * * [simplify]: Extracting #0: cost 1 inf + 0 2.789 * * [simplify]: Extracting #1: cost 8 inf + 0 2.789 * * [simplify]: Extracting #2: cost 18 inf + 0 2.789 * * [simplify]: Extracting #3: cost 15 inf + 74 2.789 * * [simplify]: Extracting #4: cost 6 inf + 918 2.790 * * [simplify]: Extracting #5: cost 0 inf + 1911 2.790 * [simplify]: Simplified to (+ (log (* 2 PI)) (log n)) 2.790 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2)))) 2.790 * * * * [progress]: [ 50 / 196 ] simplifiying candidate # 2.790 * * * * [progress]: [ 51 / 196 ] simplifiying candidate # 2.791 * * * * [progress]: [ 52 / 196 ] simplifiying candidate # 2.791 * [simplify]: Simplifying (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)) 2.791 * * [simplify]: iters left: 6 (11 enodes) 2.798 * * [simplify]: iters left: 5 (47 enodes) 2.818 * * [simplify]: iters left: 4 (115 enodes) 2.868 * * [simplify]: iters left: 3 (384 enodes) 3.182 * * [simplify]: Extracting #0: cost 1 inf + 0 3.182 * * [simplify]: Extracting #1: cost 102 inf + 0 3.188 * * [simplify]: Extracting #2: cost 263 inf + 1026 3.199 * * [simplify]: Extracting #3: cost 88 inf + 24284 3.217 * * [simplify]: Extracting #4: cost 2 inf + 40704 3.236 * * [simplify]: Extracting #5: cost 0 inf + 41008 3.256 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 3.256 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)))) 3.257 * * * * [progress]: [ 53 / 196 ] simplifiying candidate # 3.257 * [simplify]: Simplifying (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)) 3.257 * * [simplify]: iters left: 6 (9 enodes) 3.263 * * [simplify]: iters left: 5 (45 enodes) 3.282 * * [simplify]: iters left: 4 (116 enodes) 3.347 * * [simplify]: iters left: 3 (371 enodes) 3.675 * * [simplify]: Extracting #0: cost 1 inf + 0 3.675 * * [simplify]: Extracting #1: cost 82 inf + 0 3.676 * * [simplify]: Extracting #2: cost 200 inf + 498 3.680 * * [simplify]: Extracting #3: cost 121 inf + 10421 3.689 * * [simplify]: Extracting #4: cost 5 inf + 33505 3.706 * * [simplify]: Extracting #5: cost 0 inf + 33849 3.716 * * [simplify]: Extracting #6: cost 0 inf + 33809 3.725 * [simplify]: Simplified to (* (* n PI) (* 8 (* (* n PI) (* n PI)))) 3.726 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* n PI) (* 8 (* (* n PI) (* n PI))))) (/ (- 1 k) 2)))) 3.726 * * * * [progress]: [ 54 / 196 ] simplifiying candidate # 3.726 * * * * [progress]: [ 55 / 196 ] simplifiying candidate # 3.726 * * * * [progress]: [ 56 / 196 ] simplifiying candidate # 3.726 * * * * [progress]: [ 57 / 196 ] simplifiying candidate # 3.726 * * * * [progress]: [ 58 / 196 ] simplifiying candidate # 3.726 * [simplify]: Simplifying (cbrt n) 3.726 * * [simplify]: iters left: 1 (2 enodes) 3.727 * * [simplify]: Extracting #0: cost 1 inf + 0 3.727 * * [simplify]: Extracting #1: cost 3 inf + 0 3.727 * * [simplify]: Extracting #2: cost 2 inf + 1 3.727 * * [simplify]: Extracting #3: cost 0 inf + 163 3.727 * [simplify]: Simplified to (cbrt n) 3.727 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2)))) 3.727 * * * * [progress]: [ 59 / 196 ] simplifiying candidate # 3.727 * [simplify]: Simplifying (sqrt n) 3.727 * * [simplify]: iters left: 1 (2 enodes) 3.727 * * [simplify]: Extracting #0: cost 1 inf + 0 3.727 * * [simplify]: Extracting #1: cost 3 inf + 0 3.727 * * [simplify]: Extracting #2: cost 2 inf + 1 3.727 * * [simplify]: Extracting #3: cost 0 inf + 83 3.727 * [simplify]: Simplified to (sqrt n) 3.727 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2)))) 3.728 * * * * [progress]: [ 60 / 196 ] simplifiying candidate # 3.728 * * * * [progress]: [ 61 / 196 ] simplifiying candidate # 3.728 * * * * [progress]: [ 62 / 196 ] simplifiying candidate #real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))> 3.728 * * * * [progress]: [ 63 / 196 ] simplifiying candidate # 3.728 * * * * [progress]: [ 64 / 196 ] simplifiying candidate # 3.728 * * * * [progress]: [ 65 / 196 ] simplifiying candidate # 3.728 * * * * [progress]: [ 66 / 196 ] simplifiying candidate # 3.728 * * * * [progress]: [ 67 / 196 ] simplifiying candidate # 3.728 * [simplify]: Simplifying (- 1/2) 3.728 * * [simplify]: iters left: 2 (2 enodes) 3.729 * * [simplify]: iters left: 1 (7 enodes) 3.731 * * [simplify]: Extracting #0: cost 1 inf + 0 3.731 * * [simplify]: Extracting #1: cost 0 inf + 1 3.731 * [simplify]: Simplified to -1/2 3.731 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.731 * * * * [progress]: [ 68 / 196 ] simplifiying candidate # 3.731 * [simplify]: Simplifying (- 1) 3.731 * * [simplify]: iters left: 2 (2 enodes) 3.732 * * [simplify]: iters left: 1 (9 enodes) 3.734 * * [simplify]: Extracting #0: cost 1 inf + 0 3.734 * * [simplify]: Extracting #1: cost 0 inf + 1 3.734 * [simplify]: Simplified to -1 3.734 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.734 * * * * [progress]: [ 69 / 196 ] simplifiying candidate # 3.734 * [simplify]: Simplifying (- (/ 1 2)) 3.734 * * [simplify]: iters left: 4 (4 enodes) 3.737 * * [simplify]: iters left: 3 (19 enodes) 3.742 * * [simplify]: iters left: 2 (23 enodes) 3.751 * * [simplify]: Extracting #0: cost 1 inf + 0 3.751 * * [simplify]: Extracting #1: cost 0 inf + 1 3.752 * [simplify]: Simplified to -1/2 3.752 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.752 * * * * [progress]: [ 70 / 196 ] simplifiying candidate # 3.752 * * * * [progress]: [ 71 / 196 ] simplifiying candidate # 3.752 * * * * [progress]: [ 72 / 196 ] simplifiying candidate # 3.752 * [simplify]: Simplifying (- 0 (log (sqrt k))) 3.752 * * [simplify]: iters left: 4 (5 enodes) 3.753 * * [simplify]: iters left: 3 (17 enodes) 3.756 * * [simplify]: iters left: 2 (21 enodes) 3.759 * * [simplify]: iters left: 1 (23 enodes) 3.763 * * [simplify]: Extracting #0: cost 1 inf + 0 3.763 * * [simplify]: Extracting #1: cost 4 inf + 0 3.763 * * [simplify]: Extracting #2: cost 5 inf + 1 3.763 * * [simplify]: Extracting #3: cost 7 inf + 1 3.763 * * [simplify]: Extracting #4: cost 0 inf + 608 3.763 * [simplify]: Simplified to (- (log (sqrt k))) 3.763 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.763 * * * * [progress]: [ 73 / 196 ] simplifiying candidate # 3.763 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 3.764 * * [simplify]: iters left: 4 (6 enodes) 3.765 * * [simplify]: iters left: 3 (22 enodes) 3.769 * * [simplify]: Extracting #0: cost 1 inf + 0 3.769 * * [simplify]: Extracting #1: cost 4 inf + 0 3.769 * * [simplify]: Extracting #2: cost 5 inf + 1 3.769 * * [simplify]: Extracting #3: cost 7 inf + 1 3.769 * * [simplify]: Extracting #4: cost 6 inf + 2 3.769 * * [simplify]: Extracting #5: cost 1 inf + 457 3.769 * * [simplify]: Extracting #6: cost 0 inf + 608 3.769 * [simplify]: Simplified to (- (log (sqrt k))) 3.769 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.769 * * * * [progress]: [ 74 / 196 ] simplifiying candidate # 3.769 * * * * [progress]: [ 75 / 196 ] simplifiying candidate # 3.769 * * * * [progress]: [ 76 / 196 ] simplifiying candidate # 3.770 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 3.770 * * [simplify]: iters left: 6 (8 enodes) 3.772 * * [simplify]: iters left: 5 (26 enodes) 3.776 * * [simplify]: iters left: 4 (43 enodes) 3.783 * * [simplify]: iters left: 3 (59 enodes) 3.796 * * [simplify]: iters left: 2 (67 enodes) 3.814 * * [simplify]: iters left: 1 (69 enodes) 3.830 * * [simplify]: Extracting #0: cost 1 inf + 0 3.830 * * [simplify]: Extracting #1: cost 14 inf + 0 3.830 * * [simplify]: Extracting #2: cost 18 inf + 2 3.830 * * [simplify]: Extracting #3: cost 7 inf + 701 3.831 * * [simplify]: Extracting #4: cost 0 inf + 1234 3.832 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 3.832 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (/ (/ 1 k) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.832 * * * * [progress]: [ 77 / 196 ] simplifiying candidate # 3.832 * * * * [progress]: [ 78 / 196 ] simplifiying candidate # 3.832 * * * * [progress]: [ 79 / 196 ] simplifiying candidate # 3.832 * * * * [progress]: [ 80 / 196 ] simplifiying candidate # 3.832 * * * * [progress]: [ 81 / 196 ] simplifiying candidate # 3.832 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 3.833 * * [simplify]: iters left: 6 (8 enodes) 3.837 * * [simplify]: iters left: 5 (32 enodes) 3.848 * * [simplify]: iters left: 4 (48 enodes) 3.864 * * [simplify]: iters left: 3 (76 enodes) 3.884 * * [simplify]: iters left: 2 (81 enodes) 3.891 * * [simplify]: Extracting #0: cost 1 inf + 0 3.891 * * [simplify]: Extracting #1: cost 6 inf + 0 3.891 * * [simplify]: Extracting #2: cost 9 inf + 1 3.891 * * [simplify]: Extracting #3: cost 11 inf + 1 3.891 * * [simplify]: Extracting #4: cost 2 inf + 1052 3.891 * * [simplify]: Extracting #5: cost 0 inf + 1376 3.892 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 3.892 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.892 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 3.892 * * [simplify]: iters left: 4 (6 enodes) 3.894 * * [simplify]: iters left: 3 (20 enodes) 3.897 * * [simplify]: iters left: 2 (22 enodes) 3.901 * * [simplify]: Extracting #0: cost 1 inf + 0 3.901 * * [simplify]: Extracting #1: cost 4 inf + 0 3.901 * * [simplify]: Extracting #2: cost 5 inf + 1 3.901 * * [simplify]: Extracting #3: cost 7 inf + 1 3.901 * * [simplify]: Extracting #4: cost 1 inf + 488 3.901 * * [simplify]: Extracting #5: cost 0 inf + 650 3.901 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 3.901 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.901 * * * * [progress]: [ 82 / 196 ] simplifiying candidate # 3.901 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 3.901 * * [simplify]: iters left: 6 (8 enodes) 3.904 * * [simplify]: iters left: 5 (29 enodes) 3.912 * * [simplify]: iters left: 4 (31 enodes) 3.920 * * [simplify]: Extracting #0: cost 1 inf + 0 3.920 * * [simplify]: Extracting #1: cost 4 inf + 0 3.920 * * [simplify]: Extracting #2: cost 6 inf + 1 3.920 * * [simplify]: Extracting #3: cost 9 inf + 1 3.920 * * [simplify]: Extracting #4: cost 8 inf + 2 3.920 * * [simplify]: Extracting #5: cost 2 inf + 729 3.920 * * [simplify]: Extracting #6: cost 0 inf + 972 3.921 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 3.921 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.921 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 3.921 * * [simplify]: iters left: 4 (6 enodes) 3.925 * * [simplify]: iters left: 3 (20 enodes) 3.931 * * [simplify]: iters left: 2 (22 enodes) 3.937 * * [simplify]: Extracting #0: cost 1 inf + 0 3.937 * * [simplify]: Extracting #1: cost 4 inf + 0 3.937 * * [simplify]: Extracting #2: cost 5 inf + 1 3.937 * * [simplify]: Extracting #3: cost 7 inf + 1 3.937 * * [simplify]: Extracting #4: cost 1 inf + 568 3.937 * * [simplify]: Extracting #5: cost 0 inf + 730 3.937 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 3.938 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.938 * * * * [progress]: [ 83 / 196 ] simplifiying candidate # 3.938 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 3.938 * * [simplify]: iters left: 5 (7 enodes) 3.943 * * [simplify]: iters left: 4 (25 enodes) 3.951 * * [simplify]: iters left: 3 (27 enodes) 3.958 * * [simplify]: Extracting #0: cost 1 inf + 0 3.958 * * [simplify]: Extracting #1: cost 4 inf + 0 3.958 * * [simplify]: Extracting #2: cost 5 inf + 1 3.958 * * [simplify]: Extracting #3: cost 7 inf + 1 3.958 * * [simplify]: Extracting #4: cost 6 inf + 2 3.958 * * [simplify]: Extracting #5: cost 2 inf + 368 3.959 * * [simplify]: Extracting #6: cost 0 inf + 490 3.959 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 3.959 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.959 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 3.959 * * [simplify]: iters left: 4 (6 enodes) 3.963 * * [simplify]: iters left: 3 (20 enodes) 3.970 * * [simplify]: iters left: 2 (22 enodes) 3.976 * * [simplify]: Extracting #0: cost 1 inf + 0 3.976 * * [simplify]: Extracting #1: cost 4 inf + 0 3.976 * * [simplify]: Extracting #2: cost 5 inf + 1 3.976 * * [simplify]: Extracting #3: cost 7 inf + 1 3.976 * * [simplify]: Extracting #4: cost 1 inf + 368 3.976 * * [simplify]: Extracting #5: cost 0 inf + 490 3.976 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 3.976 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.977 * * * * [progress]: [ 84 / 196 ] simplifiying candidate # 3.977 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 3.977 * * [simplify]: iters left: 5 (5 enodes) 3.983 * * [simplify]: iters left: 4 (19 enodes) 3.985 * * [simplify]: iters left: 3 (21 enodes) 3.990 * * [simplify]: Extracting #0: cost 1 inf + 0 3.990 * * [simplify]: Extracting #1: cost 0 inf + 1 3.990 * [simplify]: Simplified to 1 3.990 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.990 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 3.990 * * [simplify]: iters left: 3 (5 enodes) 3.993 * * [simplify]: iters left: 2 (17 enodes) 3.995 * * [simplify]: iters left: 1 (19 enodes) 3.998 * * [simplify]: Extracting #0: cost 1 inf + 0 3.998 * * [simplify]: Extracting #1: cost 4 inf + 0 3.998 * * [simplify]: Extracting #2: cost 5 inf + 1 3.998 * * [simplify]: Extracting #3: cost 0 inf + 248 3.998 * [simplify]: Simplified to (/ 1 (sqrt k)) 3.999 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.999 * * * * [progress]: [ 85 / 196 ] simplifiying candidate # 3.999 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 3.999 * * [simplify]: iters left: 5 (7 enodes) 4.002 * * [simplify]: iters left: 4 (25 enodes) 4.006 * * [simplify]: iters left: 3 (27 enodes) 4.009 * * [simplify]: Extracting #0: cost 1 inf + 0 4.010 * * [simplify]: Extracting #1: cost 4 inf + 0 4.010 * * [simplify]: Extracting #2: cost 5 inf + 1 4.010 * * [simplify]: Extracting #3: cost 7 inf + 1 4.010 * * [simplify]: Extracting #4: cost 6 inf + 2 4.010 * * [simplify]: Extracting #5: cost 2 inf + 368 4.010 * * [simplify]: Extracting #6: cost 0 inf + 490 4.010 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 4.010 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.010 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 4.010 * * [simplify]: iters left: 4 (6 enodes) 4.012 * * [simplify]: iters left: 3 (20 enodes) 4.015 * * [simplify]: iters left: 2 (22 enodes) 4.018 * * [simplify]: Extracting #0: cost 1 inf + 0 4.019 * * [simplify]: Extracting #1: cost 4 inf + 0 4.019 * * [simplify]: Extracting #2: cost 5 inf + 1 4.019 * * [simplify]: Extracting #3: cost 7 inf + 1 4.019 * * [simplify]: Extracting #4: cost 1 inf + 368 4.019 * * [simplify]: Extracting #5: cost 0 inf + 490 4.019 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 4.019 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.019 * * * * [progress]: [ 86 / 196 ] simplifiying candidate # 4.019 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 4.019 * * [simplify]: iters left: 5 (4 enodes) 4.024 * * [simplify]: iters left: 4 (14 enodes) 4.027 * * [simplify]: iters left: 3 (16 enodes) 4.031 * * [simplify]: Extracting #0: cost 1 inf + 0 4.031 * * [simplify]: Extracting #1: cost 0 inf + 1 4.031 * [simplify]: Simplified to 1 4.031 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.031 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 4.031 * * [simplify]: iters left: 3 (5 enodes) 4.035 * * [simplify]: iters left: 2 (17 enodes) 4.040 * * [simplify]: iters left: 1 (19 enodes) 4.046 * * [simplify]: Extracting #0: cost 1 inf + 0 4.046 * * [simplify]: Extracting #1: cost 4 inf + 0 4.046 * * [simplify]: Extracting #2: cost 5 inf + 1 4.046 * * [simplify]: Extracting #3: cost 0 inf + 248 4.047 * [simplify]: Simplified to (/ 1 (sqrt k)) 4.047 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.047 * * * * [progress]: [ 87 / 196 ] simplifiying candidate # 4.047 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 4.047 * * [simplify]: iters left: 6 (7 enodes) 4.052 * * [simplify]: iters left: 5 (25 enodes) 4.060 * * [simplify]: iters left: 4 (32 enodes) 4.068 * * [simplify]: iters left: 3 (34 enodes) 4.077 * * [simplify]: Extracting #0: cost 1 inf + 0 4.077 * * [simplify]: Extracting #1: cost 7 inf + 0 4.077 * * [simplify]: Extracting #2: cost 11 inf + 1 4.077 * * [simplify]: Extracting #3: cost 13 inf + 1 4.078 * * [simplify]: Extracting #4: cost 10 inf + 84 4.078 * * [simplify]: Extracting #5: cost 4 inf + 1014 4.078 * * [simplify]: Extracting #6: cost 1 inf + 1498 4.079 * * [simplify]: Extracting #7: cost 0 inf + 1700 4.079 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 4.079 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.080 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 4.080 * * [simplify]: iters left: 4 (6 enodes) 4.084 * * [simplify]: iters left: 3 (20 enodes) 4.089 * * [simplify]: iters left: 2 (22 enodes) 4.096 * * [simplify]: Extracting #0: cost 1 inf + 0 4.096 * * [simplify]: Extracting #1: cost 4 inf + 0 4.096 * * [simplify]: Extracting #2: cost 5 inf + 1 4.096 * * [simplify]: Extracting #3: cost 7 inf + 1 4.096 * * [simplify]: Extracting #4: cost 1 inf + 488 4.096 * * [simplify]: Extracting #5: cost 0 inf + 650 4.096 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 4.096 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.097 * * * * [progress]: [ 88 / 196 ] simplifiying candidate # 4.097 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 4.097 * * [simplify]: iters left: 6 (7 enodes) 4.101 * * [simplify]: iters left: 5 (24 enodes) 4.108 * * [simplify]: iters left: 4 (26 enodes) 4.117 * * [simplify]: Extracting #0: cost 1 inf + 0 4.117 * * [simplify]: Extracting #1: cost 4 inf + 0 4.117 * * [simplify]: Extracting #2: cost 6 inf + 1 4.117 * * [simplify]: Extracting #3: cost 9 inf + 1 4.117 * * [simplify]: Extracting #4: cost 8 inf + 2 4.117 * * [simplify]: Extracting #5: cost 2 inf + 730 4.117 * * [simplify]: Extracting #6: cost 0 inf + 972 4.117 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 4.118 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.118 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 4.118 * * [simplify]: iters left: 4 (6 enodes) 4.122 * * [simplify]: iters left: 3 (20 enodes) 4.127 * * [simplify]: iters left: 2 (22 enodes) 4.133 * * [simplify]: Extracting #0: cost 1 inf + 0 4.133 * * [simplify]: Extracting #1: cost 4 inf + 0 4.133 * * [simplify]: Extracting #2: cost 5 inf + 1 4.133 * * [simplify]: Extracting #3: cost 7 inf + 1 4.133 * * [simplify]: Extracting #4: cost 1 inf + 568 4.134 * * [simplify]: Extracting #5: cost 0 inf + 730 4.134 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 4.134 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.134 * * * * [progress]: [ 89 / 196 ] simplifiying candidate # 4.135 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 4.135 * * [simplify]: iters left: 4 (6 enodes) 4.138 * * [simplify]: iters left: 3 (20 enodes) 4.144 * * [simplify]: iters left: 2 (22 enodes) 4.149 * * [simplify]: Extracting #0: cost 1 inf + 0 4.149 * * [simplify]: Extracting #1: cost 4 inf + 0 4.149 * * [simplify]: Extracting #2: cost 5 inf + 1 4.149 * * [simplify]: Extracting #3: cost 7 inf + 1 4.150 * * [simplify]: Extracting #4: cost 1 inf + 368 4.150 * * [simplify]: Extracting #5: cost 0 inf + 490 4.150 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 4.150 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.150 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 4.150 * * [simplify]: iters left: 4 (6 enodes) 4.154 * * [simplify]: iters left: 3 (20 enodes) 4.160 * * [simplify]: iters left: 2 (22 enodes) 4.166 * * [simplify]: Extracting #0: cost 1 inf + 0 4.166 * * [simplify]: Extracting #1: cost 4 inf + 0 4.166 * * [simplify]: Extracting #2: cost 5 inf + 1 4.166 * * [simplify]: Extracting #3: cost 7 inf + 1 4.166 * * [simplify]: Extracting #4: cost 1 inf + 368 4.166 * * [simplify]: Extracting #5: cost 0 inf + 490 4.167 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 4.167 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.167 * * * * [progress]: [ 90 / 196 ] simplifiying candidate # 4.167 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 4.167 * * [simplify]: iters left: 3 (3 enodes) 4.170 * * [simplify]: iters left: 2 (9 enodes) 4.173 * * [simplify]: iters left: 1 (11 enodes) 4.175 * * [simplify]: Extracting #0: cost 1 inf + 0 4.175 * * [simplify]: Extracting #1: cost 0 inf + 1 4.175 * [simplify]: Simplified to 1 4.175 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.176 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 4.176 * * [simplify]: iters left: 3 (5 enodes) 4.180 * * [simplify]: iters left: 2 (17 enodes) 4.185 * * [simplify]: iters left: 1 (19 enodes) 4.190 * * [simplify]: Extracting #0: cost 1 inf + 0 4.190 * * [simplify]: Extracting #1: cost 4 inf + 0 4.190 * * [simplify]: Extracting #2: cost 5 inf + 1 4.190 * * [simplify]: Extracting #3: cost 0 inf + 248 4.191 * [simplify]: Simplified to (/ 1 (sqrt k)) 4.191 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.191 * * * * [progress]: [ 91 / 196 ] simplifiying candidate # 4.191 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 4.191 * * [simplify]: iters left: 4 (6 enodes) 4.195 * * [simplify]: iters left: 3 (20 enodes) 4.201 * * [simplify]: iters left: 2 (22 enodes) 4.207 * * [simplify]: Extracting #0: cost 1 inf + 0 4.207 * * [simplify]: Extracting #1: cost 4 inf + 0 4.207 * * [simplify]: Extracting #2: cost 5 inf + 1 4.208 * * [simplify]: Extracting #3: cost 7 inf + 1 4.208 * * [simplify]: Extracting #4: cost 1 inf + 368 4.208 * * [simplify]: Extracting #5: cost 0 inf + 490 4.208 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 4.208 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.208 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 4.209 * * [simplify]: iters left: 4 (6 enodes) 4.213 * * [simplify]: iters left: 3 (20 enodes) 4.218 * * [simplify]: iters left: 2 (22 enodes) 4.225 * * [simplify]: Extracting #0: cost 1 inf + 0 4.225 * * [simplify]: Extracting #1: cost 4 inf + 0 4.225 * * [simplify]: Extracting #2: cost 5 inf + 1 4.225 * * [simplify]: Extracting #3: cost 7 inf + 1 4.225 * * [simplify]: Extracting #4: cost 1 inf + 368 4.225 * * [simplify]: Extracting #5: cost 0 inf + 490 4.225 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 4.225 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.225 * * * * [progress]: [ 92 / 196 ] simplifiying candidate # 4.226 * [simplify]: Simplifying (/ (sqrt 1) 1) 4.226 * * [simplify]: iters left: 3 (3 enodes) 4.228 * * [simplify]: iters left: 2 (9 enodes) 4.229 * * [simplify]: iters left: 1 (11 enodes) 4.231 * * [simplify]: Extracting #0: cost 1 inf + 0 4.231 * * [simplify]: Extracting #1: cost 0 inf + 1 4.231 * [simplify]: Simplified to 1 4.231 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.231 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 4.231 * * [simplify]: iters left: 3 (5 enodes) 4.233 * * [simplify]: iters left: 2 (17 enodes) 4.236 * * [simplify]: iters left: 1 (19 enodes) 4.239 * * [simplify]: Extracting #0: cost 1 inf + 0 4.239 * * [simplify]: Extracting #1: cost 4 inf + 0 4.239 * * [simplify]: Extracting #2: cost 5 inf + 1 4.239 * * [simplify]: Extracting #3: cost 0 inf + 248 4.239 * [simplify]: Simplified to (/ 1 (sqrt k)) 4.239 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.239 * * * * [progress]: [ 93 / 196 ] simplifiying candidate # 4.239 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 4.240 * * [simplify]: iters left: 6 (6 enodes) 4.241 * * [simplify]: iters left: 5 (22 enodes) 4.245 * * [simplify]: iters left: 4 (26 enodes) 4.249 * * [simplify]: Extracting #0: cost 1 inf + 0 4.249 * * [simplify]: Extracting #1: cost 6 inf + 0 4.249 * * [simplify]: Extracting #2: cost 9 inf + 1 4.249 * * [simplify]: Extracting #3: cost 11 inf + 1 4.249 * * [simplify]: Extracting #4: cost 8 inf + 84 4.249 * * [simplify]: Extracting #5: cost 2 inf + 1013 4.249 * * [simplify]: Extracting #6: cost 0 inf + 1376 4.249 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 4.249 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.250 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 4.250 * * [simplify]: iters left: 4 (5 enodes) 4.253 * * [simplify]: iters left: 3 (17 enodes) 4.257 * * [simplify]: iters left: 2 (19 enodes) 4.263 * * [simplify]: Extracting #0: cost 1 inf + 0 4.263 * * [simplify]: Extracting #1: cost 4 inf + 0 4.264 * * [simplify]: Extracting #2: cost 5 inf + 1 4.264 * * [simplify]: Extracting #3: cost 7 inf + 1 4.264 * * [simplify]: Extracting #4: cost 0 inf + 650 4.264 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 4.264 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.264 * * * * [progress]: [ 94 / 196 ] simplifiying candidate # 4.265 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 4.265 * * [simplify]: iters left: 6 (6 enodes) 4.268 * * [simplify]: iters left: 5 (21 enodes) 4.274 * * [simplify]: iters left: 4 (23 enodes) 4.281 * * [simplify]: Extracting #0: cost 1 inf + 0 4.281 * * [simplify]: Extracting #1: cost 4 inf + 0 4.281 * * [simplify]: Extracting #2: cost 6 inf + 1 4.281 * * [simplify]: Extracting #3: cost 9 inf + 1 4.281 * * [simplify]: Extracting #4: cost 8 inf + 2 4.282 * * [simplify]: Extracting #5: cost 1 inf + 810 4.282 * * [simplify]: Extracting #6: cost 0 inf + 972 4.282 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 4.282 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.283 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 4.283 * * [simplify]: iters left: 4 (5 enodes) 4.285 * * [simplify]: iters left: 3 (17 enodes) 4.288 * * [simplify]: iters left: 2 (19 enodes) 4.291 * * [simplify]: Extracting #0: cost 1 inf + 0 4.291 * * [simplify]: Extracting #1: cost 4 inf + 0 4.291 * * [simplify]: Extracting #2: cost 5 inf + 1 4.291 * * [simplify]: Extracting #3: cost 7 inf + 1 4.291 * * [simplify]: Extracting #4: cost 0 inf + 730 4.292 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 4.292 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.292 * * * * [progress]: [ 95 / 196 ] simplifiying candidate # 4.292 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 4.292 * * [simplify]: iters left: 4 (5 enodes) 4.293 * * [simplify]: iters left: 3 (17 enodes) 4.296 * * [simplify]: iters left: 2 (19 enodes) 4.299 * * [simplify]: Extracting #0: cost 1 inf + 0 4.299 * * [simplify]: Extracting #1: cost 4 inf + 0 4.299 * * [simplify]: Extracting #2: cost 5 inf + 1 4.299 * * [simplify]: Extracting #3: cost 7 inf + 1 4.299 * * [simplify]: Extracting #4: cost 0 inf + 490 4.299 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 4.300 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.300 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 4.300 * * [simplify]: iters left: 4 (5 enodes) 4.301 * * [simplify]: iters left: 3 (17 enodes) 4.304 * * [simplify]: iters left: 2 (19 enodes) 4.307 * * [simplify]: Extracting #0: cost 1 inf + 0 4.307 * * [simplify]: Extracting #1: cost 4 inf + 0 4.307 * * [simplify]: Extracting #2: cost 5 inf + 1 4.307 * * [simplify]: Extracting #3: cost 7 inf + 1 4.307 * * [simplify]: Extracting #4: cost 0 inf + 490 4.307 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 4.307 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.307 * * * * [progress]: [ 96 / 196 ] simplifiying candidate # 4.308 * [simplify]: Simplifying (/ 1 (sqrt 1)) 4.308 * * [simplify]: iters left: 3 (3 enodes) 4.311 * * [simplify]: iters left: 2 (11 enodes) 4.313 * * [simplify]: iters left: 1 (13 enodes) 4.315 * * [simplify]: Extracting #0: cost 1 inf + 0 4.315 * * [simplify]: Extracting #1: cost 0 inf + 1 4.315 * [simplify]: Simplified to 1 4.315 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.315 * [simplify]: Simplifying (/ 1 (sqrt k)) 4.315 * * [simplify]: iters left: 3 (4 enodes) 4.316 * * [simplify]: iters left: 2 (14 enodes) 4.319 * * [simplify]: iters left: 1 (16 enodes) 4.323 * * [simplify]: Extracting #0: cost 1 inf + 0 4.323 * * [simplify]: Extracting #1: cost 4 inf + 0 4.323 * * [simplify]: Extracting #2: cost 5 inf + 1 4.323 * * [simplify]: Extracting #3: cost 3 inf + 43 4.323 * * [simplify]: Extracting #4: cost 1 inf + 166 4.324 * * [simplify]: Extracting #5: cost 0 inf + 248 4.324 * [simplify]: Simplified to (/ 1 (sqrt k)) 4.324 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.324 * * * * [progress]: [ 97 / 196 ] simplifiying candidate # 4.324 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 4.324 * * [simplify]: iters left: 4 (5 enodes) 4.325 * * [simplify]: iters left: 3 (17 enodes) 4.328 * * [simplify]: iters left: 2 (19 enodes) 4.331 * * [simplify]: Extracting #0: cost 1 inf + 0 4.331 * * [simplify]: Extracting #1: cost 4 inf + 0 4.331 * * [simplify]: Extracting #2: cost 5 inf + 1 4.331 * * [simplify]: Extracting #3: cost 7 inf + 1 4.331 * * [simplify]: Extracting #4: cost 0 inf + 490 4.332 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 4.332 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.332 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 4.332 * * [simplify]: iters left: 4 (5 enodes) 4.333 * * [simplify]: iters left: 3 (17 enodes) 4.336 * * [simplify]: iters left: 2 (19 enodes) 4.339 * * [simplify]: Extracting #0: cost 1 inf + 0 4.340 * * [simplify]: Extracting #1: cost 4 inf + 0 4.340 * * [simplify]: Extracting #2: cost 5 inf + 1 4.340 * * [simplify]: Extracting #3: cost 7 inf + 1 4.340 * * [simplify]: Extracting #4: cost 0 inf + 490 4.340 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 4.340 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.340 * * * * [progress]: [ 98 / 196 ] simplifiying candidate # 4.340 * [simplify]: Simplifying (/ 1 1) 4.340 * * [simplify]: iters left: 2 (2 enodes) 4.341 * * [simplify]: iters left: 1 (6 enodes) 4.342 * * [simplify]: Extracting #0: cost 1 inf + 0 4.342 * * [simplify]: Extracting #1: cost 0 inf + 1 4.342 * [simplify]: Simplified to 1 4.342 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.343 * [simplify]: Simplifying (/ 1 (sqrt k)) 4.343 * * [simplify]: iters left: 3 (4 enodes) 4.344 * * [simplify]: iters left: 2 (14 enodes) 4.346 * * [simplify]: iters left: 1 (16 enodes) 4.349 * * [simplify]: Extracting #0: cost 1 inf + 0 4.349 * * [simplify]: Extracting #1: cost 4 inf + 0 4.349 * * [simplify]: Extracting #2: cost 5 inf + 1 4.349 * * [simplify]: Extracting #3: cost 3 inf + 43 4.349 * * [simplify]: Extracting #4: cost 1 inf + 166 4.349 * * [simplify]: Extracting #5: cost 0 inf + 248 4.349 * [simplify]: Simplified to (/ 1 (sqrt k)) 4.349 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.350 * * * * [progress]: [ 99 / 196 ] simplifiying candidate # 4.350 * * * * [progress]: [ 100 / 196 ] simplifiying candidate # 4.350 * * * * [progress]: [ 101 / 196 ] simplifiying candidate # 4.350 * * * * [progress]: [ 102 / 196 ] simplifiying candidate # 4.350 * [simplify]: Simplifying (cbrt (sqrt k)) 4.350 * * [simplify]: iters left: 2 (3 enodes) 4.351 * * [simplify]: iters left: 1 (9 enodes) 4.354 * * [simplify]: Extracting #0: cost 1 inf + 0 4.354 * * [simplify]: Extracting #1: cost 3 inf + 0 4.354 * * [simplify]: Extracting #2: cost 5 inf + 0 4.354 * * [simplify]: Extracting #3: cost 4 inf + 1 4.354 * * [simplify]: Extracting #4: cost 0 inf + 325 4.354 * [simplify]: Simplified to (cbrt (sqrt k)) 4.354 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.354 * * * * [progress]: [ 103 / 196 ] simplifiying candidate # 4.355 * [simplify]: Simplifying (sqrt (cbrt k)) 4.355 * * [simplify]: iters left: 2 (3 enodes) 4.356 * * [simplify]: iters left: 1 (9 enodes) 4.359 * * [simplify]: Extracting #0: cost 1 inf + 0 4.359 * * [simplify]: Extracting #1: cost 3 inf + 0 4.359 * * [simplify]: Extracting #2: cost 5 inf + 0 4.359 * * [simplify]: Extracting #3: cost 4 inf + 1 4.359 * * [simplify]: Extracting #4: cost 0 inf + 405 4.359 * [simplify]: Simplified to (sqrt (cbrt k)) 4.359 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.359 * * * * [progress]: [ 104 / 196 ] simplifiying candidate # 4.360 * [simplify]: Simplifying (sqrt (sqrt k)) 4.360 * * [simplify]: iters left: 2 (3 enodes) 4.361 * * [simplify]: iters left: 1 (9 enodes) 4.363 * * [simplify]: Extracting #0: cost 1 inf + 0 4.363 * * [simplify]: Extracting #1: cost 3 inf + 0 4.364 * * [simplify]: Extracting #2: cost 5 inf + 0 4.364 * * [simplify]: Extracting #3: cost 4 inf + 1 4.364 * * [simplify]: Extracting #4: cost 0 inf + 245 4.364 * [simplify]: Simplified to (sqrt (sqrt k)) 4.364 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.364 * * * * [progress]: [ 105 / 196 ] simplifiying candidate # 4.364 * [simplify]: Simplifying (sqrt k) 4.364 * * [simplify]: iters left: 1 (2 enodes) 4.367 * * [simplify]: Extracting #0: cost 1 inf + 0 4.367 * * [simplify]: Extracting #1: cost 3 inf + 0 4.367 * * [simplify]: Extracting #2: cost 2 inf + 1 4.368 * * [simplify]: Extracting #3: cost 0 inf + 83 4.368 * [simplify]: Simplified to (sqrt k) 4.368 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt 1)) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.368 * * * * [progress]: [ 106 / 196 ] simplifiying candidate # 4.368 * [simplify]: Simplifying (sqrt (sqrt k)) 4.368 * * [simplify]: iters left: 2 (3 enodes) 4.370 * * [simplify]: iters left: 1 (9 enodes) 4.372 * * [simplify]: Extracting #0: cost 1 inf + 0 4.372 * * [simplify]: Extracting #1: cost 3 inf + 0 4.372 * * [simplify]: Extracting #2: cost 5 inf + 0 4.372 * * [simplify]: Extracting #3: cost 4 inf + 1 4.373 * * [simplify]: Extracting #4: cost 0 inf + 245 4.373 * [simplify]: Simplified to (sqrt (sqrt k)) 4.373 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.373 * * * * [progress]: [ 107 / 196 ] simplifiying candidate # 4.373 * [simplify]: Simplifying (sqrt k) 4.373 * * [simplify]: iters left: 1 (2 enodes) 4.374 * * [simplify]: Extracting #0: cost 1 inf + 0 4.375 * * [simplify]: Extracting #1: cost 3 inf + 0 4.375 * * [simplify]: Extracting #2: cost 2 inf + 1 4.375 * * [simplify]: Extracting #3: cost 0 inf + 83 4.375 * [simplify]: Simplified to (sqrt k) 4.375 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.375 * * * * [progress]: [ 108 / 196 ] simplifiying candidate # 4.375 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 4.375 * * [simplify]: iters left: 3 (3 enodes) 4.381 * * [simplify]: iters left: 2 (11 enodes) 4.384 * * [simplify]: iters left: 1 (13 enodes) 4.387 * * [simplify]: Extracting #0: cost 1 inf + 0 4.387 * * [simplify]: Extracting #1: cost 0 inf + 1 4.387 * [simplify]: Simplified to 1 4.387 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ 1 (/ (sqrt k) (cbrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.387 * * * * [progress]: [ 109 / 196 ] simplifiying candidate # 4.388 * [simplify]: Simplifying (sqrt 1) 4.388 * * [simplify]: iters left: 1 (2 enodes) 4.391 * * [simplify]: Extracting #0: cost 1 inf + 0 4.391 * * [simplify]: Extracting #1: cost 0 inf + 1 4.391 * [simplify]: Simplified to 1 4.391 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ 1 (/ (sqrt k) (sqrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.391 * * * * [progress]: [ 110 / 196 ] simplifiying candidate # 4.391 * * * * [progress]: [ 111 / 196 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> 4.391 * * * * [progress]: [ 112 / 196 ] simplifiying candidate # 4.391 * * * * [progress]: [ 113 / 196 ] simplifiying candidate # 4.391 * * * * [progress]: [ 114 / 196 ] simplifiying candidate # 4.391 * * * * [progress]: [ 115 / 196 ] simplifiying candidate # 4.391 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 4.391 * * [simplify]: iters left: 6 (17 enodes) 4.396 * * [simplify]: iters left: 5 (67 enodes) 4.408 * * [simplify]: iters left: 4 (113 enodes) 4.434 * * [simplify]: iters left: 3 (309 enodes) 4.569 * * [simplify]: Extracting #0: cost 1 inf + 0 4.569 * * [simplify]: Extracting #1: cost 34 inf + 0 4.570 * * [simplify]: Extracting #2: cost 93 inf + 0 4.570 * * [simplify]: Extracting #3: cost 135 inf + 492 4.572 * * [simplify]: Extracting #4: cost 122 inf + 7331 4.584 * * [simplify]: Extracting #5: cost 23 inf + 37008 4.603 * * [simplify]: Extracting #6: cost 0 inf + 45359 4.621 * * [simplify]: Extracting #7: cost 0 inf + 45224 4.640 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (log (sqrt k))) 4.640 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (log (sqrt k))))) 4.641 * * * * [progress]: [ 116 / 196 ] simplifiying candidate # 4.641 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 4.641 * * [simplify]: iters left: 6 (16 enodes) 4.650 * * [simplify]: iters left: 5 (65 enodes) 4.671 * * [simplify]: iters left: 4 (106 enodes) 4.715 * * [simplify]: iters left: 3 (247 enodes) 4.828 * * [simplify]: Extracting #0: cost 1 inf + 0 4.828 * * [simplify]: Extracting #1: cost 29 inf + 0 4.829 * * [simplify]: Extracting #2: cost 82 inf + 0 4.830 * * [simplify]: Extracting #3: cost 121 inf + 188 4.832 * * [simplify]: Extracting #4: cost 111 inf + 4901 4.841 * * [simplify]: Extracting #5: cost 38 inf + 22772 4.855 * * [simplify]: Extracting #6: cost 0 inf + 35066 4.870 * * [simplify]: Extracting #7: cost 0 inf + 35064 4.884 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (log (sqrt k))) 4.884 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (log (sqrt k))))) 4.884 * * * * [progress]: [ 117 / 196 ] simplifiying candidate # 4.885 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 4.885 * * [simplify]: iters left: 6 (15 enodes) 4.894 * * [simplify]: iters left: 5 (64 enodes) 4.915 * * [simplify]: iters left: 4 (113 enodes) 4.941 * * [simplify]: iters left: 3 (229 enodes) 5.016 * * [simplify]: Extracting #0: cost 1 inf + 0 5.016 * * [simplify]: Extracting #1: cost 22 inf + 0 5.017 * * [simplify]: Extracting #2: cost 80 inf + 0 5.017 * * [simplify]: Extracting #3: cost 121 inf + 116 5.018 * * [simplify]: Extracting #4: cost 123 inf + 2401 5.020 * * [simplify]: Extracting #5: cost 62 inf + 13255 5.026 * * [simplify]: Extracting #6: cost 5 inf + 28800 5.033 * * [simplify]: Extracting #7: cost 0 inf + 29789 5.044 * * [simplify]: Extracting #8: cost 0 inf + 29774 5.054 * [simplify]: Simplified to (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))) 5.054 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))))) 5.054 * * * * [progress]: [ 118 / 196 ] simplifiying candidate # 5.054 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 5.055 * * [simplify]: iters left: 6 (15 enodes) 5.059 * * [simplify]: iters left: 5 (64 enodes) 5.070 * * [simplify]: iters left: 4 (113 enodes) 5.091 * * [simplify]: iters left: 3 (229 enodes) 5.204 * * [simplify]: Extracting #0: cost 1 inf + 0 5.205 * * [simplify]: Extracting #1: cost 22 inf + 0 5.205 * * [simplify]: Extracting #2: cost 80 inf + 0 5.205 * * [simplify]: Extracting #3: cost 121 inf + 116 5.206 * * [simplify]: Extracting #4: cost 123 inf + 2401 5.209 * * [simplify]: Extracting #5: cost 62 inf + 13255 5.217 * * [simplify]: Extracting #6: cost 5 inf + 28800 5.224 * * [simplify]: Extracting #7: cost 0 inf + 29789 5.231 * * [simplify]: Extracting #8: cost 0 inf + 29774 5.244 * [simplify]: Simplified to (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))) 5.244 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))))) 5.245 * * * * [progress]: [ 119 / 196 ] simplifiying candidate # 5.245 * [simplify]: Simplifying (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.245 * * [simplify]: iters left: 6 (15 enodes) 5.253 * * [simplify]: iters left: 5 (63 enodes) 5.271 * * [simplify]: iters left: 4 (108 enodes) 5.292 * * [simplify]: iters left: 3 (217 enodes) 5.352 * * [simplify]: Extracting #0: cost 1 inf + 0 5.352 * * [simplify]: Extracting #1: cost 24 inf + 0 5.353 * * [simplify]: Extracting #2: cost 110 inf + 0 5.354 * * [simplify]: Extracting #3: cost 178 inf + 4 5.355 * * [simplify]: Extracting #4: cost 171 inf + 872 5.359 * * [simplify]: Extracting #5: cost 106 inf + 12808 5.371 * * [simplify]: Extracting #6: cost 17 inf + 34781 5.378 * * [simplify]: Extracting #7: cost 0 inf + 40386 5.386 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (log (sqrt k))) 5.386 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (log (sqrt k))))) 5.386 * * * * [progress]: [ 120 / 196 ] simplifiying candidate # 5.386 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 5.386 * * [simplify]: iters left: 6 (18 enodes) 5.391 * * [simplify]: iters left: 5 (73 enodes) 5.408 * * [simplify]: iters left: 4 (130 enodes) 5.452 * * [simplify]: iters left: 3 (393 enodes) 5.646 * * [simplify]: Extracting #0: cost 1 inf + 0 5.646 * * [simplify]: Extracting #1: cost 49 inf + 0 5.647 * * [simplify]: Extracting #2: cost 175 inf + 1 5.648 * * [simplify]: Extracting #3: cost 228 inf + 936 5.652 * * [simplify]: Extracting #4: cost 233 inf + 4167 5.657 * * [simplify]: Extracting #5: cost 124 inf + 33671 5.671 * * [simplify]: Extracting #6: cost 17 inf + 72418 5.702 * * [simplify]: Extracting #7: cost 0 inf + 79014 5.721 * * [simplify]: Extracting #8: cost 0 inf + 79009 5.737 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))) 5.737 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))))) 5.737 * * * * [progress]: [ 121 / 196 ] simplifiying candidate # 5.737 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 5.738 * * [simplify]: iters left: 6 (17 enodes) 5.744 * * [simplify]: iters left: 5 (71 enodes) 5.759 * * [simplify]: iters left: 4 (123 enodes) 5.810 * * [simplify]: iters left: 3 (314 enodes) 5.948 * * [simplify]: Extracting #0: cost 1 inf + 0 5.948 * * [simplify]: Extracting #1: cost 39 inf + 0 5.949 * * [simplify]: Extracting #2: cost 151 inf + 1 5.950 * * [simplify]: Extracting #3: cost 206 inf + 351 5.955 * * [simplify]: Extracting #4: cost 180 inf + 10056 5.973 * * [simplify]: Extracting #5: cost 27 inf + 53428 5.999 * * [simplify]: Extracting #6: cost 0 inf + 61805 6.026 * * [simplify]: Extracting #7: cost 0 inf + 61801 6.051 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 6.052 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 6.052 * * * * [progress]: [ 122 / 196 ] simplifiying candidate # 6.052 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 6.052 * * [simplify]: iters left: 6 (16 enodes) 6.059 * * [simplify]: iters left: 5 (70 enodes) 6.072 * * [simplify]: iters left: 4 (130 enodes) 6.097 * * [simplify]: iters left: 3 (287 enodes) 6.214 * * [simplify]: Extracting #0: cost 1 inf + 0 6.214 * * [simplify]: Extracting #1: cost 30 inf + 0 6.214 * * [simplify]: Extracting #2: cost 130 inf + 1 6.215 * * [simplify]: Extracting #3: cost 188 inf + 308 6.216 * * [simplify]: Extracting #4: cost 173 inf + 5554 6.222 * * [simplify]: Extracting #5: cost 47 inf + 35357 6.235 * * [simplify]: Extracting #6: cost 1 inf + 47747 6.256 * * [simplify]: Extracting #7: cost 0 inf + 48021 6.269 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 6.269 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 6.269 * * * * [progress]: [ 123 / 196 ] simplifiying candidate # 6.270 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 6.270 * * [simplify]: iters left: 6 (16 enodes) 6.275 * * [simplify]: iters left: 5 (70 enodes) 6.288 * * [simplify]: iters left: 4 (130 enodes) 6.330 * * [simplify]: iters left: 3 (287 enodes) 6.433 * * [simplify]: Extracting #0: cost 1 inf + 0 6.433 * * [simplify]: Extracting #1: cost 30 inf + 0 6.434 * * [simplify]: Extracting #2: cost 130 inf + 1 6.434 * * [simplify]: Extracting #3: cost 188 inf + 308 6.436 * * [simplify]: Extracting #4: cost 173 inf + 5554 6.442 * * [simplify]: Extracting #5: cost 47 inf + 35357 6.454 * * [simplify]: Extracting #6: cost 1 inf + 47747 6.466 * * [simplify]: Extracting #7: cost 0 inf + 48021 6.476 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 6.476 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 6.476 * * * * [progress]: [ 124 / 196 ] simplifiying candidate # 6.477 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 6.477 * * [simplify]: iters left: 6 (16 enodes) 6.482 * * [simplify]: iters left: 5 (69 enodes) 6.505 * * [simplify]: iters left: 4 (125 enodes) 6.548 * * [simplify]: iters left: 3 (268 enodes) 6.645 * * [simplify]: Extracting #0: cost 1 inf + 0 6.645 * * [simplify]: Extracting #1: cost 35 inf + 0 6.646 * * [simplify]: Extracting #2: cost 171 inf + 1 6.647 * * [simplify]: Extracting #3: cost 255 inf + 5 6.650 * * [simplify]: Extracting #4: cost 221 inf + 4985 6.663 * * [simplify]: Extracting #5: cost 68 inf + 40619 6.684 * * [simplify]: Extracting #6: cost 2 inf + 62141 6.707 * * [simplify]: Extracting #7: cost 0 inf + 62792 6.723 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))) 6.723 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))))) 6.723 * * * * [progress]: [ 125 / 196 ] simplifiying candidate # 6.724 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 6.724 * * [simplify]: iters left: 6 (18 enodes) 6.729 * * [simplify]: iters left: 5 (74 enodes) 6.748 * * [simplify]: iters left: 4 (125 enodes) 6.793 * * [simplify]: iters left: 3 (358 enodes) 7.002 * * [simplify]: Extracting #0: cost 1 inf + 0 7.002 * * [simplify]: Extracting #1: cost 49 inf + 0 7.003 * * [simplify]: Extracting #2: cost 178 inf + 1 7.005 * * [simplify]: Extracting #3: cost 233 inf + 744 7.009 * * [simplify]: Extracting #4: cost 223 inf + 6446 7.019 * * [simplify]: Extracting #5: cost 129 inf + 31346 7.050 * * [simplify]: Extracting #6: cost 13 inf + 73037 7.066 * * [simplify]: Extracting #7: cost 0 inf + 78681 7.082 * * [simplify]: Extracting #8: cost 0 inf + 78676 7.098 * [simplify]: Simplified to (- (/ (- (+ (+ (log 2) (log n)) (log PI)) (* k (+ (+ (log 2) (log n)) (log PI)))) 2) (log (sqrt k))) 7.098 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (+ (log 2) (log n)) (log PI)) (* k (+ (+ (log 2) (log n)) (log PI)))) 2) (log (sqrt k))))) 7.098 * * * * [progress]: [ 126 / 196 ] simplifiying candidate # 7.098 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 7.098 * * [simplify]: iters left: 6 (17 enodes) 7.104 * * [simplify]: iters left: 5 (72 enodes) 7.116 * * [simplify]: iters left: 4 (118 enodes) 7.144 * * [simplify]: iters left: 3 (294 enodes) 7.241 * * [simplify]: Extracting #0: cost 1 inf + 0 7.241 * * [simplify]: Extracting #1: cost 42 inf + 0 7.242 * * [simplify]: Extracting #2: cost 151 inf + 1 7.243 * * [simplify]: Extracting #3: cost 203 inf + 602 7.244 * * [simplify]: Extracting #4: cost 191 inf + 6560 7.252 * * [simplify]: Extracting #5: cost 37 inf + 48248 7.270 * * [simplify]: Extracting #6: cost 0 inf + 60434 7.295 * * [simplify]: Extracting #7: cost 0 inf + 60429 7.320 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* PI 2))) (* k (+ (log n) (log (* PI 2))))) 2) (log (sqrt k))) 7.320 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* PI 2))) (* k (+ (log n) (log (* PI 2))))) 2) (log (sqrt k))))) 7.320 * * * * [progress]: [ 127 / 196 ] simplifiying candidate # 7.320 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 7.321 * * [simplify]: iters left: 6 (16 enodes) 7.330 * * [simplify]: iters left: 5 (71 enodes) 7.354 * * [simplify]: iters left: 4 (125 enodes) 7.400 * * [simplify]: iters left: 3 (275 enodes) 7.502 * * [simplify]: Extracting #0: cost 1 inf + 0 7.502 * * [simplify]: Extracting #1: cost 31 inf + 0 7.502 * * [simplify]: Extracting #2: cost 131 inf + 1 7.503 * * [simplify]: Extracting #3: cost 186 inf + 612 7.504 * * [simplify]: Extracting #4: cost 177 inf + 4910 7.513 * * [simplify]: Extracting #5: cost 36 inf + 38212 7.533 * * [simplify]: Extracting #6: cost 0 inf + 47750 7.553 * * [simplify]: Extracting #7: cost 0 inf + 47743 7.574 * * [simplify]: Extracting #8: cost 0 inf + 47741 7.584 * [simplify]: Simplified to (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))) 7.585 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))))) 7.585 * * * * [progress]: [ 128 / 196 ] simplifiying candidate # 7.585 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 7.585 * * [simplify]: iters left: 6 (16 enodes) 7.590 * * [simplify]: iters left: 5 (71 enodes) 7.606 * * [simplify]: iters left: 4 (125 enodes) 7.637 * * [simplify]: iters left: 3 (275 enodes) 7.750 * * [simplify]: Extracting #0: cost 1 inf + 0 7.750 * * [simplify]: Extracting #1: cost 31 inf + 0 7.751 * * [simplify]: Extracting #2: cost 131 inf + 1 7.751 * * [simplify]: Extracting #3: cost 186 inf + 612 7.753 * * [simplify]: Extracting #4: cost 177 inf + 4910 7.760 * * [simplify]: Extracting #5: cost 36 inf + 38212 7.770 * * [simplify]: Extracting #6: cost 0 inf + 47750 7.786 * * [simplify]: Extracting #7: cost 0 inf + 47743 7.807 * * [simplify]: Extracting #8: cost 0 inf + 47741 7.821 * [simplify]: Simplified to (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))) 7.821 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))))) 7.821 * * * * [progress]: [ 129 / 196 ] simplifiying candidate # 7.821 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 7.821 * * [simplify]: iters left: 6 (16 enodes) 7.827 * * [simplify]: iters left: 5 (70 enodes) 7.839 * * [simplify]: iters left: 4 (120 enodes) 7.880 * * [simplify]: iters left: 3 (257 enodes) 7.988 * * [simplify]: Extracting #0: cost 1 inf + 0 7.988 * * [simplify]: Extracting #1: cost 32 inf + 0 7.989 * * [simplify]: Extracting #2: cost 160 inf + 1 7.990 * * [simplify]: Extracting #3: cost 242 inf + 76 7.993 * * [simplify]: Extracting #4: cost 203 inf + 6225 8.005 * * [simplify]: Extracting #5: cost 61 inf + 38019 8.016 * * [simplify]: Extracting #6: cost 2 inf + 57891 8.027 * * [simplify]: Extracting #7: cost 0 inf + 58592 8.041 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* n (* PI 2)))) (log (sqrt k))) 8.041 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* n (* PI 2)))) (log (sqrt k))))) 8.041 * * * * [progress]: [ 130 / 196 ] simplifiying candidate # 8.041 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 8.042 * * [simplify]: iters left: 6 (17 enodes) 8.051 * * [simplify]: iters left: 5 (71 enodes) 8.065 * * [simplify]: iters left: 4 (119 enodes) 8.099 * * [simplify]: iters left: 3 (314 enodes) 8.249 * * [simplify]: Extracting #0: cost 1 inf + 0 8.249 * * [simplify]: Extracting #1: cost 35 inf + 0 8.249 * * [simplify]: Extracting #2: cost 104 inf + 1 8.250 * * [simplify]: Extracting #3: cost 143 inf + 757 8.251 * * [simplify]: Extracting #4: cost 140 inf + 4902 8.257 * * [simplify]: Extracting #5: cost 34 inf + 35020 8.267 * * [simplify]: Extracting #6: cost 0 inf + 49439 8.287 * * [simplify]: Extracting #7: cost 0 inf + 49406 8.305 * * [simplify]: Extracting #8: cost 0 inf + 49402 8.315 * * [simplify]: Extracting #9: cost 0 inf + 49401 8.326 * [simplify]: Simplified to (- (/ (- (+ (+ (log PI) (log n)) (log 2)) (* k (+ (+ (log PI) (log n)) (log 2)))) 2) (log (sqrt k))) 8.326 * [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))))) 8.326 * * * * [progress]: [ 131 / 196 ] simplifiying candidate # 8.326 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 8.326 * * [simplify]: iters left: 6 (16 enodes) 8.331 * * [simplify]: iters left: 5 (69 enodes) 8.343 * * [simplify]: iters left: 4 (112 enodes) 8.367 * * [simplify]: iters left: 3 (257 enodes) 8.482 * * [simplify]: Extracting #0: cost 1 inf + 0 8.482 * * [simplify]: Extracting #1: cost 31 inf + 0 8.483 * * [simplify]: Extracting #2: cost 94 inf + 1 8.484 * * [simplify]: Extracting #3: cost 132 inf + 503 8.486 * * [simplify]: Extracting #4: cost 128 inf + 3709 8.494 * * [simplify]: Extracting #5: cost 39 inf + 27174 8.502 * * [simplify]: Extracting #6: cost 2 inf + 39194 8.511 * * [simplify]: Extracting #7: cost 0 inf + 39544 8.519 * * [simplify]: Extracting #8: cost 0 inf + 39543 8.534 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 8.534 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 8.534 * * * * [progress]: [ 132 / 196 ] simplifiying candidate # 8.535 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 8.535 * * [simplify]: iters left: 6 (15 enodes) 8.544 * * [simplify]: iters left: 5 (68 enodes) 8.558 * * [simplify]: iters left: 4 (119 enodes) 8.583 * * [simplify]: iters left: 3 (239 enodes) 8.676 * * [simplify]: Extracting #0: cost 1 inf + 0 8.676 * * [simplify]: Extracting #1: cost 25 inf + 0 8.676 * * [simplify]: Extracting #2: cost 92 inf + 1 8.677 * * [simplify]: Extracting #3: cost 130 inf + 543 8.677 * * [simplify]: Extracting #4: cost 139 inf + 2074 8.680 * * [simplify]: Extracting #5: cost 57 inf + 18543 8.687 * * [simplify]: Extracting #6: cost 6 inf + 31905 8.694 * * [simplify]: Extracting #7: cost 0 inf + 33686 8.703 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 8.704 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 8.704 * * * * [progress]: [ 133 / 196 ] simplifiying candidate # 8.704 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 8.704 * * [simplify]: iters left: 6 (15 enodes) 8.713 * * [simplify]: iters left: 5 (68 enodes) 8.735 * * [simplify]: iters left: 4 (119 enodes) 8.775 * * [simplify]: iters left: 3 (239 enodes) 8.858 * * [simplify]: Extracting #0: cost 1 inf + 0 8.858 * * [simplify]: Extracting #1: cost 25 inf + 0 8.859 * * [simplify]: Extracting #2: cost 92 inf + 1 8.859 * * [simplify]: Extracting #3: cost 130 inf + 543 8.860 * * [simplify]: Extracting #4: cost 139 inf + 2074 8.863 * * [simplify]: Extracting #5: cost 57 inf + 18543 8.871 * * [simplify]: Extracting #6: cost 6 inf + 31905 8.878 * * [simplify]: Extracting #7: cost 0 inf + 33686 8.885 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 8.885 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 8.885 * * * * [progress]: [ 134 / 196 ] simplifiying candidate # 8.885 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 8.886 * * [simplify]: iters left: 6 (15 enodes) 8.890 * * [simplify]: iters left: 5 (67 enodes) 8.905 * * [simplify]: iters left: 4 (118 enodes) 8.938 * * [simplify]: iters left: 3 (226 enodes) 9.008 * * [simplify]: Extracting #0: cost 1 inf + 0 9.008 * * [simplify]: Extracting #1: cost 26 inf + 0 9.009 * * [simplify]: Extracting #2: cost 121 inf + 1 9.009 * * [simplify]: Extracting #3: cost 186 inf + 5 9.010 * * [simplify]: Extracting #4: cost 162 inf + 3722 9.014 * * [simplify]: Extracting #5: cost 52 inf + 27263 9.021 * * [simplify]: Extracting #6: cost 3 inf + 41943 9.032 * * [simplify]: Extracting #7: cost 0 inf + 43631 9.051 * [simplify]: Simplified to (- (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) (log (sqrt k))) 9.051 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 9.051 * * * * [progress]: [ 135 / 196 ] simplifiying candidate # 9.051 * * * * [progress]: [ 136 / 196 ] simplifiying candidate # 9.051 * * * * [progress]: [ 137 / 196 ] simplifiying candidate # 9.052 * [simplify]: Simplifying (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 9.052 * * [simplify]: iters left: 6 (19 enodes) 9.059 * * [simplify]: iters left: 5 (80 enodes) 9.074 * * [simplify]: iters left: 4 (188 enodes) 9.164 * * [simplify]: Extracting #0: cost 1 inf + 0 9.165 * * [simplify]: Extracting #1: cost 52 inf + 0 9.165 * * [simplify]: Extracting #2: cost 152 inf + 248 9.167 * * [simplify]: Extracting #3: cost 161 inf + 1681 9.169 * * [simplify]: Extracting #4: cost 148 inf + 2885 9.172 * * [simplify]: Extracting #5: cost 100 inf + 19336 9.183 * * [simplify]: Extracting #6: cost 2 inf + 75093 9.197 * * [simplify]: Extracting #7: cost 0 inf + 75063 9.217 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) k) (sqrt k))) 9.217 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) k) (sqrt k))))) 9.217 * * * * [progress]: [ 138 / 196 ] simplifiying candidate # 9.217 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 9.218 * * [simplify]: iters left: 6 (17 enodes) 9.228 * * [simplify]: iters left: 5 (81 enodes) 9.256 * * [simplify]: iters left: 4 (170 enodes) 9.320 * * [simplify]: iters left: 3 (476 enodes) 9.734 * * [simplify]: Extracting #0: cost 1 inf + 0 9.734 * * [simplify]: Extracting #1: cost 91 inf + 0 9.736 * * [simplify]: Extracting #2: cost 417 inf + 3 9.740 * * [simplify]: Extracting #3: cost 448 inf + 1123 9.746 * * [simplify]: Extracting #4: cost 412 inf + 7804 9.766 * * [simplify]: Extracting #5: cost 247 inf + 96425 9.832 * * [simplify]: Extracting #6: cost 21 inf + 270020 9.888 * * [simplify]: Extracting #7: cost 0 inf + 282339 9.968 * * [simplify]: Extracting #8: cost 0 inf + 279009 10.037 * * [simplify]: Extracting #9: cost 0 inf + 278669 10.118 * [simplify]: Simplified to (* (/ (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (* k (sqrt k))) (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4)))) 10.118 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (* k (sqrt k))) (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4)))))) 10.119 * * * * [progress]: [ 139 / 196 ] simplifiying candidate # 10.119 * * * * [progress]: [ 140 / 196 ] simplifiying candidate # 10.119 * * * * [progress]: [ 141 / 196 ] simplifiying candidate # 10.119 * * * * [progress]: [ 142 / 196 ] simplifiying candidate # 10.119 * [simplify]: Simplifying (* 1 (pow (* (* 2 PI) n) (/ 1 2))) 10.119 * * [simplify]: iters left: 6 (9 enodes) 10.124 * * [simplify]: iters left: 5 (37 enodes) 10.132 * * [simplify]: iters left: 4 (66 enodes) 10.147 * * [simplify]: iters left: 3 (105 enodes) 10.176 * * [simplify]: iters left: 2 (164 enodes) 10.228 * * [simplify]: iters left: 1 (292 enodes) 10.321 * * [simplify]: Extracting #0: cost 1 inf + 0 10.321 * * [simplify]: Extracting #1: cost 18 inf + 0 10.321 * * [simplify]: Extracting #2: cost 64 inf + 3 10.321 * * [simplify]: Extracting #3: cost 68 inf + 53 10.322 * * [simplify]: Extracting #4: cost 55 inf + 2111 10.324 * * [simplify]: Extracting #5: cost 21 inf + 17969 10.327 * * [simplify]: Extracting #6: cost 0 inf + 32739 10.332 * * [simplify]: Extracting #7: cost 0 inf + 32659 10.337 * [simplify]: Simplified to (sqrt (* PI (* 2 n))) 10.338 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))))) 10.338 * [simplify]: Simplifying (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))) 10.338 * * [simplify]: iters left: 6 (10 enodes) 10.344 * * [simplify]: iters left: 5 (38 enodes) 10.357 * * [simplify]: iters left: 4 (62 enodes) 10.378 * * [simplify]: iters left: 3 (104 enodes) 10.408 * * [simplify]: iters left: 2 (205 enodes) 10.473 * * [simplify]: iters left: 1 (464 enodes) 10.820 * * [simplify]: Extracting #0: cost 1 inf + 0 10.820 * * [simplify]: Extracting #1: cost 47 inf + 0 10.821 * * [simplify]: Extracting #2: cost 169 inf + 0 10.822 * * [simplify]: Extracting #3: cost 207 inf + 87 10.823 * * [simplify]: Extracting #4: cost 170 inf + 6541 10.835 * * [simplify]: Extracting #5: cost 78 inf + 60938 10.873 * * [simplify]: Extracting #6: cost 4 inf + 129528 10.903 * * [simplify]: Extracting #7: cost 0 inf + 129330 10.929 * * [simplify]: Extracting #8: cost 0 inf + 127557 10.964 * * [simplify]: Extracting #9: cost 0 inf + 127427 10.985 * [simplify]: Simplified to (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k)) 10.985 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k)))) 10.985 * * * * [progress]: [ 143 / 196 ] simplifiying candidate # 10.985 * * * * [progress]: [ 144 / 196 ] simplifiying candidate # 10.985 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 10.985 * * [simplify]: iters left: 6 (15 enodes) 10.993 * * [simplify]: iters left: 5 (61 enodes) 11.012 * * [simplify]: iters left: 4 (91 enodes) 11.043 * * [simplify]: iters left: 3 (129 enodes) 11.087 * * [simplify]: iters left: 2 (215 enodes) 11.153 * * [simplify]: iters left: 1 (377 enodes) 11.328 * * [simplify]: Extracting #0: cost 1 inf + 0 11.328 * * [simplify]: Extracting #1: cost 4 inf + 0 11.328 * * [simplify]: Extracting #2: cost 9 inf + 0 11.328 * * [simplify]: Extracting #3: cost 41 inf + 0 11.329 * * [simplify]: Extracting #4: cost 120 inf + 2 11.330 * * [simplify]: Extracting #5: cost 142 inf + 588 11.334 * * [simplify]: Extracting #6: cost 85 inf + 10856 11.347 * * [simplify]: Extracting #7: cost 15 inf + 45576 11.366 * * [simplify]: Extracting #8: cost 0 inf + 58010 11.385 * * [simplify]: Extracting #9: cost 0 inf + 56674 11.409 * * [simplify]: Extracting #10: cost 0 inf + 56383 11.420 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 11.420 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 11.420 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 11.420 * * [simplify]: iters left: 6 (15 enodes) 11.425 * * [simplify]: iters left: 5 (61 enodes) 11.435 * * [simplify]: iters left: 4 (91 enodes) 11.453 * * [simplify]: iters left: 3 (129 enodes) 11.499 * * [simplify]: iters left: 2 (215 enodes) 11.579 * * [simplify]: iters left: 1 (377 enodes) 11.728 * * [simplify]: Extracting #0: cost 1 inf + 0 11.728 * * [simplify]: Extracting #1: cost 4 inf + 0 11.729 * * [simplify]: Extracting #2: cost 9 inf + 0 11.729 * * [simplify]: Extracting #3: cost 41 inf + 0 11.729 * * [simplify]: Extracting #4: cost 120 inf + 2 11.729 * * [simplify]: Extracting #5: cost 142 inf + 588 11.731 * * [simplify]: Extracting #6: cost 85 inf + 10856 11.740 * * [simplify]: Extracting #7: cost 15 inf + 45576 11.758 * * [simplify]: Extracting #8: cost 0 inf + 58010 11.768 * * [simplify]: Extracting #9: cost 0 inf + 56674 11.778 * * [simplify]: Extracting #10: cost 0 inf + 56383 11.791 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 11.791 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))))) 11.792 * * * * [progress]: [ 145 / 196 ] simplifiying candidate # 11.792 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 11.792 * * [simplify]: iters left: 6 (15 enodes) 11.801 * * [simplify]: iters left: 5 (64 enodes) 11.822 * * [simplify]: iters left: 4 (101 enodes) 11.855 * * [simplify]: iters left: 3 (160 enodes) 11.893 * * [simplify]: iters left: 2 (299 enodes) 12.020 * * [simplify]: Extracting #0: cost 1 inf + 0 12.020 * * [simplify]: Extracting #1: cost 34 inf + 0 12.021 * * [simplify]: Extracting #2: cost 102 inf + 0 12.022 * * [simplify]: Extracting #3: cost 155 inf + 2 12.023 * * [simplify]: Extracting #4: cost 168 inf + 139 12.025 * * [simplify]: Extracting #5: cost 136 inf + 4159 12.031 * * [simplify]: Extracting #6: cost 78 inf + 13897 12.047 * * [simplify]: Extracting #7: cost 16 inf + 59233 12.069 * * [simplify]: Extracting #8: cost 0 inf + 73111 12.090 * * [simplify]: Extracting #9: cost 0 inf + 73021 12.113 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) 12.113 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 12.113 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 12.113 * * [simplify]: iters left: 6 (15 enodes) 12.118 * * [simplify]: iters left: 5 (64 enodes) 12.132 * * [simplify]: iters left: 4 (101 enodes) 12.152 * * [simplify]: iters left: 3 (160 enodes) 12.196 * * [simplify]: iters left: 2 (299 enodes) 12.285 * * [simplify]: Extracting #0: cost 1 inf + 0 12.285 * * [simplify]: Extracting #1: cost 34 inf + 0 12.286 * * [simplify]: Extracting #2: cost 102 inf + 0 12.287 * * [simplify]: Extracting #3: cost 155 inf + 2 12.288 * * [simplify]: Extracting #4: cost 168 inf + 139 12.290 * * [simplify]: Extracting #5: cost 136 inf + 4159 12.296 * * [simplify]: Extracting #6: cost 78 inf + 13897 12.313 * * [simplify]: Extracting #7: cost 16 inf + 59233 12.330 * * [simplify]: Extracting #8: cost 0 inf + 73111 12.344 * * [simplify]: Extracting #9: cost 0 inf + 73021 12.357 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) 12.357 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))))) 12.357 * * * * [progress]: [ 146 / 196 ] simplifiying candidate # 12.357 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 12.357 * * [simplify]: iters left: 6 (16 enodes) 12.367 * * [simplify]: iters left: 5 (66 enodes) 12.380 * * [simplify]: iters left: 4 (106 enodes) 12.399 * * [simplify]: iters left: 3 (156 enodes) 12.451 * * [simplify]: iters left: 2 (230 enodes) 12.501 * * [simplify]: iters left: 1 (385 enodes) 12.629 * * [simplify]: Extracting #0: cost 1 inf + 0 12.629 * * [simplify]: Extracting #1: cost 7 inf + 0 12.629 * * [simplify]: Extracting #2: cost 13 inf + 1 12.630 * * [simplify]: Extracting #3: cost 39 inf + 1 12.630 * * [simplify]: Extracting #4: cost 111 inf + 288 12.632 * * [simplify]: Extracting #5: cost 136 inf + 1737 12.638 * * [simplify]: Extracting #6: cost 67 inf + 17104 12.654 * * [simplify]: Extracting #7: cost 2 inf + 59367 12.663 * * [simplify]: Extracting #8: cost 0 inf + 59071 12.673 * * [simplify]: Extracting #9: cost 0 inf + 58872 12.683 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 12.683 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 12.683 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 12.683 * * [simplify]: iters left: 6 (16 enodes) 12.689 * * [simplify]: iters left: 5 (66 enodes) 12.709 * * [simplify]: iters left: 4 (106 enodes) 12.747 * * [simplify]: iters left: 3 (156 enodes) 12.796 * * [simplify]: iters left: 2 (230 enodes) 12.870 * * [simplify]: iters left: 1 (385 enodes) 13.010 * * [simplify]: Extracting #0: cost 1 inf + 0 13.011 * * [simplify]: Extracting #1: cost 7 inf + 0 13.011 * * [simplify]: Extracting #2: cost 13 inf + 1 13.011 * * [simplify]: Extracting #3: cost 39 inf + 1 13.011 * * [simplify]: Extracting #4: cost 111 inf + 288 13.012 * * [simplify]: Extracting #5: cost 136 inf + 1737 13.015 * * [simplify]: Extracting #6: cost 67 inf + 17104 13.032 * * [simplify]: Extracting #7: cost 2 inf + 59367 13.050 * * [simplify]: Extracting #8: cost 0 inf + 59071 13.067 * * [simplify]: Extracting #9: cost 0 inf + 58872 13.079 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 13.079 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 13.079 * * * * [progress]: [ 147 / 196 ] simplifiying candidate # 13.079 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 13.079 * * [simplify]: iters left: 6 (16 enodes) 13.084 * * [simplify]: iters left: 5 (69 enodes) 13.098 * * [simplify]: iters left: 4 (113 enodes) 13.121 * * [simplify]: iters left: 3 (192 enodes) 13.188 * * [simplify]: iters left: 2 (378 enodes) 13.309 * * [simplify]: Extracting #0: cost 1 inf + 0 13.309 * * [simplify]: Extracting #1: cost 45 inf + 0 13.309 * * [simplify]: Extracting #2: cost 112 inf + 1 13.310 * * [simplify]: Extracting #3: cost 167 inf + 3 13.311 * * [simplify]: Extracting #4: cost 175 inf + 301 13.312 * * [simplify]: Extracting #5: cost 140 inf + 5145 13.316 * * [simplify]: Extracting #6: cost 79 inf + 18141 13.328 * * [simplify]: Extracting #7: cost 21 inf + 57536 13.354 * * [simplify]: Extracting #8: cost 0 inf + 76625 13.383 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 13.384 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 13.384 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 13.384 * * [simplify]: iters left: 6 (16 enodes) 13.394 * * [simplify]: iters left: 5 (69 enodes) 13.418 * * [simplify]: iters left: 4 (113 enodes) 13.441 * * [simplify]: iters left: 3 (192 enodes) 13.496 * * [simplify]: iters left: 2 (378 enodes) 13.622 * * [simplify]: Extracting #0: cost 1 inf + 0 13.622 * * [simplify]: Extracting #1: cost 45 inf + 0 13.623 * * [simplify]: Extracting #2: cost 112 inf + 1 13.624 * * [simplify]: Extracting #3: cost 167 inf + 3 13.626 * * [simplify]: Extracting #4: cost 175 inf + 301 13.628 * * [simplify]: Extracting #5: cost 140 inf + 5145 13.635 * * [simplify]: Extracting #6: cost 79 inf + 18141 13.655 * * [simplify]: Extracting #7: cost 21 inf + 57536 13.680 * * [simplify]: Extracting #8: cost 0 inf + 76625 13.696 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 13.697 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))))) 13.697 * * * * [progress]: [ 148 / 196 ] simplifiying candidate # 13.697 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 13.697 * * [simplify]: iters left: 6 (16 enodes) 13.702 * * [simplify]: iters left: 5 (66 enodes) 13.720 * * [simplify]: iters left: 4 (106 enodes) 13.741 * * [simplify]: iters left: 3 (156 enodes) 13.767 * * [simplify]: iters left: 2 (230 enodes) 13.837 * * [simplify]: iters left: 1 (385 enodes) 13.990 * * [simplify]: Extracting #0: cost 1 inf + 0 13.990 * * [simplify]: Extracting #1: cost 7 inf + 0 13.991 * * [simplify]: Extracting #2: cost 13 inf + 1 13.991 * * [simplify]: Extracting #3: cost 39 inf + 1 13.991 * * [simplify]: Extracting #4: cost 111 inf + 288 13.992 * * [simplify]: Extracting #5: cost 136 inf + 1737 13.998 * * [simplify]: Extracting #6: cost 67 inf + 17104 14.006 * * [simplify]: Extracting #7: cost 2 inf + 59367 14.016 * * [simplify]: Extracting #8: cost 0 inf + 59071 14.029 * * [simplify]: Extracting #9: cost 0 inf + 58872 14.039 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 14.039 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 14.039 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 14.039 * * [simplify]: iters left: 6 (16 enodes) 14.044 * * [simplify]: iters left: 5 (66 enodes) 14.057 * * [simplify]: iters left: 4 (106 enodes) 14.090 * * [simplify]: iters left: 3 (156 enodes) 14.118 * * [simplify]: iters left: 2 (230 enodes) 14.195 * * [simplify]: iters left: 1 (385 enodes) 14.333 * * [simplify]: Extracting #0: cost 1 inf + 0 14.333 * * [simplify]: Extracting #1: cost 7 inf + 0 14.333 * * [simplify]: Extracting #2: cost 13 inf + 1 14.333 * * [simplify]: Extracting #3: cost 39 inf + 1 14.334 * * [simplify]: Extracting #4: cost 111 inf + 288 14.335 * * [simplify]: Extracting #5: cost 136 inf + 1737 14.337 * * [simplify]: Extracting #6: cost 67 inf + 17104 14.346 * * [simplify]: Extracting #7: cost 2 inf + 59367 14.355 * * [simplify]: Extracting #8: cost 0 inf + 59071 14.371 * * [simplify]: Extracting #9: cost 0 inf + 58872 14.389 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 14.390 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 14.390 * * * * [progress]: [ 149 / 196 ] simplifiying candidate # 14.390 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 14.390 * * [simplify]: iters left: 6 (16 enodes) 14.395 * * [simplify]: iters left: 5 (69 enodes) 14.410 * * [simplify]: iters left: 4 (113 enodes) 14.441 * * [simplify]: iters left: 3 (192 enodes) 14.516 * * [simplify]: iters left: 2 (378 enodes) 14.653 * * [simplify]: Extracting #0: cost 1 inf + 0 14.653 * * [simplify]: Extracting #1: cost 45 inf + 0 14.653 * * [simplify]: Extracting #2: cost 112 inf + 1 14.654 * * [simplify]: Extracting #3: cost 167 inf + 3 14.655 * * [simplify]: Extracting #4: cost 175 inf + 301 14.656 * * [simplify]: Extracting #5: cost 140 inf + 5145 14.659 * * [simplify]: Extracting #6: cost 79 inf + 18141 14.669 * * [simplify]: Extracting #7: cost 21 inf + 57536 14.682 * * [simplify]: Extracting #8: cost 0 inf + 76625 14.694 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 14.695 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 14.695 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 14.695 * * [simplify]: iters left: 6 (16 enodes) 14.701 * * [simplify]: iters left: 5 (69 enodes) 14.717 * * [simplify]: iters left: 4 (113 enodes) 14.738 * * [simplify]: iters left: 3 (192 enodes) 14.792 * * [simplify]: iters left: 2 (378 enodes) 14.918 * * [simplify]: Extracting #0: cost 1 inf + 0 14.918 * * [simplify]: Extracting #1: cost 45 inf + 0 14.918 * * [simplify]: Extracting #2: cost 112 inf + 1 14.919 * * [simplify]: Extracting #3: cost 167 inf + 3 14.920 * * [simplify]: Extracting #4: cost 175 inf + 301 14.921 * * [simplify]: Extracting #5: cost 140 inf + 5145 14.924 * * [simplify]: Extracting #6: cost 79 inf + 18141 14.934 * * [simplify]: Extracting #7: cost 21 inf + 57536 14.951 * * [simplify]: Extracting #8: cost 0 inf + 76625 14.973 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 14.973 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))))) 14.973 * * * * [progress]: [ 150 / 196 ] simplifiying candidate # 14.974 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 14.974 * * [simplify]: iters left: 6 (15 enodes) 14.978 * * [simplify]: iters left: 5 (63 enodes) 14.992 * * [simplify]: iters left: 4 (97 enodes) 15.013 * * [simplify]: iters left: 3 (152 enodes) 15.050 * * [simplify]: iters left: 2 (244 enodes) 15.097 * * [simplify]: iters left: 1 (402 enodes) 15.221 * * [simplify]: Extracting #0: cost 1 inf + 0 15.221 * * [simplify]: Extracting #1: cost 7 inf + 0 15.221 * * [simplify]: Extracting #2: cost 13 inf + 1 15.221 * * [simplify]: Extracting #3: cost 40 inf + 1 15.222 * * [simplify]: Extracting #4: cost 117 inf + 3 15.224 * * [simplify]: Extracting #5: cost 148 inf + 1954 15.229 * * [simplify]: Extracting #6: cost 73 inf + 15740 15.237 * * [simplify]: Extracting #7: cost 32 inf + 32362 15.246 * * [simplify]: Extracting #8: cost 0 inf + 60208 15.258 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 15.258 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 15.258 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 15.259 * * [simplify]: iters left: 6 (15 enodes) 15.263 * * [simplify]: iters left: 5 (63 enodes) 15.281 * * [simplify]: iters left: 4 (97 enodes) 15.310 * * [simplify]: iters left: 3 (152 enodes) 15.339 * * [simplify]: iters left: 2 (244 enodes) 15.387 * * [simplify]: iters left: 1 (402 enodes) 15.502 * * [simplify]: Extracting #0: cost 1 inf + 0 15.502 * * [simplify]: Extracting #1: cost 7 inf + 0 15.503 * * [simplify]: Extracting #2: cost 13 inf + 1 15.503 * * [simplify]: Extracting #3: cost 40 inf + 1 15.503 * * [simplify]: Extracting #4: cost 117 inf + 3 15.505 * * [simplify]: Extracting #5: cost 148 inf + 1954 15.511 * * [simplify]: Extracting #6: cost 73 inf + 15740 15.526 * * [simplify]: Extracting #7: cost 32 inf + 32362 15.543 * * [simplify]: Extracting #8: cost 0 inf + 60208 15.552 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 15.552 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))))) 15.552 * * * * [progress]: [ 151 / 196 ] simplifiying candidate # 15.552 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 15.552 * * [simplify]: iters left: 6 (15 enodes) 15.557 * * [simplify]: iters left: 5 (66 enodes) 15.569 * * [simplify]: iters left: 4 (109 enodes) 15.597 * * [simplify]: iters left: 3 (192 enodes) 15.661 * * [simplify]: iters left: 2 (371 enodes) 15.864 * * [simplify]: Extracting #0: cost 1 inf + 0 15.864 * * [simplify]: Extracting #1: cost 40 inf + 0 15.865 * * [simplify]: Extracting #2: cost 127 inf + 1 15.866 * * [simplify]: Extracting #3: cost 186 inf + 3 15.869 * * [simplify]: Extracting #4: cost 180 inf + 1500 15.875 * * [simplify]: Extracting #5: cost 115 inf + 12508 15.884 * * [simplify]: Extracting #6: cost 18 inf + 70745 15.898 * * [simplify]: Extracting #7: cost 0 inf + 85905 15.911 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 15.912 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 15.912 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 15.912 * * [simplify]: iters left: 6 (15 enodes) 15.917 * * [simplify]: iters left: 5 (66 enodes) 15.930 * * [simplify]: iters left: 4 (109 enodes) 15.950 * * [simplify]: iters left: 3 (192 enodes) 16.006 * * [simplify]: iters left: 2 (371 enodes) 16.179 * * [simplify]: Extracting #0: cost 1 inf + 0 16.180 * * [simplify]: Extracting #1: cost 40 inf + 0 16.180 * * [simplify]: Extracting #2: cost 127 inf + 1 16.181 * * [simplify]: Extracting #3: cost 186 inf + 3 16.182 * * [simplify]: Extracting #4: cost 180 inf + 1500 16.184 * * [simplify]: Extracting #5: cost 115 inf + 12508 16.194 * * [simplify]: Extracting #6: cost 18 inf + 70745 16.209 * * [simplify]: Extracting #7: cost 0 inf + 85905 16.229 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 16.229 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 16.229 * * * * [progress]: [ 152 / 196 ] simplifiying candidate # 16.229 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 16.229 * * [simplify]: iters left: 6 (15 enodes) 16.234 * * [simplify]: iters left: 5 (63 enodes) 16.244 * * [simplify]: iters left: 4 (97 enodes) 16.273 * * [simplify]: iters left: 3 (152 enodes) 16.304 * * [simplify]: iters left: 2 (244 enodes) 16.366 * * [simplify]: iters left: 1 (402 enodes) 16.502 * * [simplify]: Extracting #0: cost 1 inf + 0 16.502 * * [simplify]: Extracting #1: cost 7 inf + 0 16.502 * * [simplify]: Extracting #2: cost 13 inf + 1 16.502 * * [simplify]: Extracting #3: cost 40 inf + 1 16.503 * * [simplify]: Extracting #4: cost 117 inf + 3 16.505 * * [simplify]: Extracting #5: cost 148 inf + 1954 16.510 * * [simplify]: Extracting #6: cost 73 inf + 15740 16.518 * * [simplify]: Extracting #7: cost 32 inf + 32362 16.526 * * [simplify]: Extracting #8: cost 0 inf + 60208 16.535 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 16.535 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 16.535 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 16.536 * * [simplify]: iters left: 6 (15 enodes) 16.540 * * [simplify]: iters left: 5 (63 enodes) 16.562 * * [simplify]: iters left: 4 (97 enodes) 16.590 * * [simplify]: iters left: 3 (152 enodes) 16.621 * * [simplify]: iters left: 2 (244 enodes) 16.706 * * [simplify]: iters left: 1 (402 enodes) 16.863 * * [simplify]: Extracting #0: cost 1 inf + 0 16.863 * * [simplify]: Extracting #1: cost 7 inf + 0 16.864 * * [simplify]: Extracting #2: cost 13 inf + 1 16.864 * * [simplify]: Extracting #3: cost 40 inf + 1 16.864 * * [simplify]: Extracting #4: cost 117 inf + 3 16.866 * * [simplify]: Extracting #5: cost 148 inf + 1954 16.872 * * [simplify]: Extracting #6: cost 73 inf + 15740 16.883 * * [simplify]: Extracting #7: cost 32 inf + 32362 16.901 * * [simplify]: Extracting #8: cost 0 inf + 60208 16.922 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 16.922 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))))) 16.923 * * * * [progress]: [ 153 / 196 ] simplifiying candidate # 16.923 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 16.923 * * [simplify]: iters left: 6 (15 enodes) 16.932 * * [simplify]: iters left: 5 (66 enodes) 16.954 * * [simplify]: iters left: 4 (109 enodes) 16.979 * * [simplify]: iters left: 3 (192 enodes) 17.046 * * [simplify]: iters left: 2 (371 enodes) 17.153 * * [simplify]: Extracting #0: cost 1 inf + 0 17.153 * * [simplify]: Extracting #1: cost 40 inf + 0 17.154 * * [simplify]: Extracting #2: cost 127 inf + 1 17.154 * * [simplify]: Extracting #3: cost 186 inf + 3 17.155 * * [simplify]: Extracting #4: cost 180 inf + 1500 17.158 * * [simplify]: Extracting #5: cost 115 inf + 12508 17.168 * * [simplify]: Extracting #6: cost 18 inf + 70745 17.184 * * [simplify]: Extracting #7: cost 0 inf + 85905 17.201 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 17.201 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 17.201 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 17.201 * * [simplify]: iters left: 6 (15 enodes) 17.210 * * [simplify]: iters left: 5 (66 enodes) 17.234 * * [simplify]: iters left: 4 (109 enodes) 17.273 * * [simplify]: iters left: 3 (192 enodes) 17.330 * * [simplify]: iters left: 2 (371 enodes) 17.512 * * [simplify]: Extracting #0: cost 1 inf + 0 17.512 * * [simplify]: Extracting #1: cost 40 inf + 0 17.513 * * [simplify]: Extracting #2: cost 127 inf + 1 17.514 * * [simplify]: Extracting #3: cost 186 inf + 3 17.520 * * [simplify]: Extracting #4: cost 180 inf + 1500 17.525 * * [simplify]: Extracting #5: cost 115 inf + 12508 17.537 * * [simplify]: Extracting #6: cost 18 inf + 70745 17.550 * * [simplify]: Extracting #7: cost 0 inf + 85905 17.564 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 17.564 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 17.564 * * * * [progress]: [ 154 / 196 ] simplifiying candidate # 17.565 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 17.565 * * [simplify]: iters left: 5 (7 enodes) 17.568 * * [simplify]: iters left: 4 (32 enodes) 17.577 * * [simplify]: iters left: 3 (57 enodes) 17.595 * * [simplify]: iters left: 2 (88 enodes) 17.626 * * [simplify]: iters left: 1 (156 enodes) 17.677 * * [simplify]: Extracting #0: cost 1 inf + 0 17.677 * * [simplify]: Extracting #1: cost 13 inf + 0 17.677 * * [simplify]: Extracting #2: cost 49 inf + 2 17.677 * * [simplify]: Extracting #3: cost 80 inf + 6 17.678 * * [simplify]: Extracting #4: cost 58 inf + 1840 17.679 * * [simplify]: Extracting #5: cost 22 inf + 9206 17.682 * * [simplify]: Extracting #6: cost 1 inf + 20886 17.689 * * [simplify]: Extracting #7: cost 0 inf + 21301 17.695 * * [simplify]: Extracting #8: cost 0 inf + 21130 17.700 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 17.700 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 17.700 * * * * [progress]: [ 155 / 196 ] simplifiying candidate # 17.700 * [simplify]: Simplifying (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 17.700 * * [simplify]: iters left: 6 (11 enodes) 17.704 * * [simplify]: iters left: 5 (48 enodes) 17.713 * * [simplify]: iters left: 4 (77 enodes) 17.726 * * [simplify]: iters left: 3 (118 enodes) 17.756 * * [simplify]: iters left: 2 (206 enodes) 17.816 * * [simplify]: iters left: 1 (372 enodes) 18.014 * * [simplify]: Extracting #0: cost 1 inf + 0 18.014 * * [simplify]: Extracting #1: cost 3 inf + 0 18.014 * * [simplify]: Extracting #2: cost 27 inf + 0 18.014 * * [simplify]: Extracting #3: cost 104 inf + 1 18.015 * * [simplify]: Extracting #4: cost 163 inf + 176 18.016 * * [simplify]: Extracting #5: cost 158 inf + 478 18.017 * * [simplify]: Extracting #6: cost 99 inf + 10661 18.023 * * [simplify]: Extracting #7: cost 36 inf + 32713 18.038 * * [simplify]: Extracting #8: cost 0 inf + 58050 18.057 * [simplify]: Simplified to (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) 18.057 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) 18.057 * * * * [progress]: [ 156 / 196 ] simplifiying candidate # 18.057 * [simplify]: Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 18.057 * * [simplify]: iters left: 6 (11 enodes) 18.061 * * [simplify]: iters left: 5 (48 enodes) 18.069 * * [simplify]: iters left: 4 (78 enodes) 18.091 * * [simplify]: iters left: 3 (119 enodes) 18.134 * * [simplify]: iters left: 2 (210 enodes) 18.196 * * [simplify]: iters left: 1 (385 enodes) 18.366 * * [simplify]: Extracting #0: cost 1 inf + 0 18.366 * * [simplify]: Extracting #1: cost 4 inf + 0 18.367 * * [simplify]: Extracting #2: cost 31 inf + 0 18.367 * * [simplify]: Extracting #3: cost 113 inf + 1 18.368 * * [simplify]: Extracting #4: cost 153 inf + 178 18.370 * * [simplify]: Extracting #5: cost 144 inf + 1185 18.374 * * [simplify]: Extracting #6: cost 79 inf + 10570 18.388 * * [simplify]: Extracting #7: cost 13 inf + 47373 18.400 * * [simplify]: Extracting #8: cost 0 inf + 58801 18.414 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 18.414 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 18.414 * * * * [progress]: [ 157 / 196 ] simplifiying candidate # 18.414 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 18.414 * * [simplify]: iters left: 5 (10 enodes) 18.418 * * [simplify]: iters left: 4 (45 enodes) 18.427 * * [simplify]: iters left: 3 (78 enodes) 18.441 * * [simplify]: iters left: 2 (118 enodes) 18.462 * * [simplify]: iters left: 1 (191 enodes) 18.522 * * [simplify]: Extracting #0: cost 1 inf + 0 18.522 * * [simplify]: Extracting #1: cost 13 inf + 0 18.523 * * [simplify]: Extracting #2: cost 59 inf + 1 18.523 * * [simplify]: Extracting #3: cost 91 inf + 7 18.524 * * [simplify]: Extracting #4: cost 83 inf + 556 18.526 * * [simplify]: Extracting #5: cost 33 inf + 11764 18.533 * * [simplify]: Extracting #6: cost 0 inf + 23469 18.542 * * [simplify]: Extracting #7: cost 0 inf + 23146 18.551 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 18.551 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 18.552 * * * * [progress]: [ 158 / 196 ] simplifiying candidate # 18.552 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 18.552 * * [simplify]: iters left: 6 (11 enodes) 18.559 * * [simplify]: iters left: 5 (51 enodes) 18.576 * * [simplify]: iters left: 4 (87 enodes) 18.603 * * [simplify]: iters left: 3 (143 enodes) 18.647 * * [simplify]: iters left: 2 (259 enodes) 18.700 * * [simplify]: iters left: 1 (471 enodes) 18.881 * * [simplify]: Extracting #0: cost 1 inf + 0 18.881 * * [simplify]: Extracting #1: cost 24 inf + 0 18.881 * * [simplify]: Extracting #2: cost 119 inf + 1 18.882 * * [simplify]: Extracting #3: cost 203 inf + 137 18.883 * * [simplify]: Extracting #4: cost 200 inf + 729 18.886 * * [simplify]: Extracting #5: cost 123 inf + 9170 18.898 * * [simplify]: Extracting #6: cost 38 inf + 34270 18.918 * * [simplify]: Extracting #7: cost 6 inf + 59341 18.939 * * [simplify]: Extracting #8: cost 0 inf + 64938 18.960 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* 1/4 (- 1 k))) 18.960 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (* 1/4 (- 1 k))))) 18.960 * * * * [progress]: [ 159 / 196 ] simplifiying candidate # 18.961 * [simplify]: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 18.961 * * [simplify]: iters left: 6 (6 enodes) 18.964 * * [simplify]: iters left: 5 (20 enodes) 18.970 * * [simplify]: iters left: 4 (22 enodes) 18.977 * * [simplify]: Extracting #0: cost 1 inf + 0 18.977 * * [simplify]: Extracting #1: cost 3 inf + 0 18.977 * * [simplify]: Extracting #2: cost 5 inf + 0 18.977 * * [simplify]: Extracting #3: cost 8 inf + 0 18.977 * * [simplify]: Extracting #4: cost 9 inf + 1 18.977 * * [simplify]: Extracting #5: cost 8 inf + 2 18.977 * * [simplify]: Extracting #6: cost 1 inf + 774 18.978 * * [simplify]: Extracting #7: cost 0 inf + 976 18.978 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 18.978 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 18.978 * * * * [progress]: [ 160 / 196 ] simplifiying candidate # 18.978 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 18.978 * * [simplify]: iters left: 4 (5 enodes) 18.981 * * [simplify]: iters left: 3 (17 enodes) 18.990 * * [simplify]: iters left: 2 (19 enodes) 18.995 * * [simplify]: Extracting #0: cost 1 inf + 0 18.995 * * [simplify]: Extracting #1: cost 3 inf + 0 18.995 * * [simplify]: Extracting #2: cost 6 inf + 0 18.995 * * [simplify]: Extracting #3: cost 7 inf + 1 18.995 * * [simplify]: Extracting #4: cost 0 inf + 492 18.996 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 18.996 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 18.996 * * * * [progress]: [ 161 / 196 ] simplifiying candidate # 18.996 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 18.996 * * [simplify]: iters left: 6 (8 enodes) 19.001 * * [simplify]: iters left: 5 (32 enodes) 19.012 * * [simplify]: iters left: 4 (48 enodes) 19.023 * * [simplify]: iters left: 3 (76 enodes) 19.035 * * [simplify]: iters left: 2 (81 enodes) 19.042 * * [simplify]: Extracting #0: cost 1 inf + 0 19.042 * * [simplify]: Extracting #1: cost 6 inf + 0 19.042 * * [simplify]: Extracting #2: cost 9 inf + 1 19.042 * * [simplify]: Extracting #3: cost 11 inf + 1 19.042 * * [simplify]: Extracting #4: cost 2 inf + 1052 19.042 * * [simplify]: Extracting #5: cost 0 inf + 1376 19.043 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.043 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.043 * * * * [progress]: [ 162 / 196 ] simplifiying candidate # 19.043 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 19.043 * * [simplify]: iters left: 6 (8 enodes) 19.046 * * [simplify]: iters left: 5 (29 enodes) 19.051 * * [simplify]: iters left: 4 (31 enodes) 19.059 * * [simplify]: Extracting #0: cost 1 inf + 0 19.059 * * [simplify]: Extracting #1: cost 4 inf + 0 19.059 * * [simplify]: Extracting #2: cost 6 inf + 1 19.059 * * [simplify]: Extracting #3: cost 9 inf + 1 19.059 * * [simplify]: Extracting #4: cost 8 inf + 2 19.059 * * [simplify]: Extracting #5: cost 2 inf + 729 19.060 * * [simplify]: Extracting #6: cost 0 inf + 972 19.060 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 19.060 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.060 * * * * [progress]: [ 163 / 196 ] simplifiying candidate # 19.060 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 19.060 * * [simplify]: iters left: 5 (7 enodes) 19.065 * * [simplify]: iters left: 4 (25 enodes) 19.073 * * [simplify]: iters left: 3 (27 enodes) 19.080 * * [simplify]: Extracting #0: cost 1 inf + 0 19.080 * * [simplify]: Extracting #1: cost 4 inf + 0 19.080 * * [simplify]: Extracting #2: cost 5 inf + 1 19.080 * * [simplify]: Extracting #3: cost 7 inf + 1 19.080 * * [simplify]: Extracting #4: cost 6 inf + 2 19.081 * * [simplify]: Extracting #5: cost 2 inf + 368 19.081 * * [simplify]: Extracting #6: cost 0 inf + 490 19.081 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.081 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.081 * * * * [progress]: [ 164 / 196 ] simplifiying candidate # 19.081 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 19.082 * * [simplify]: iters left: 5 (5 enodes) 19.090 * * [simplify]: iters left: 4 (19 enodes) 19.095 * * [simplify]: iters left: 3 (21 enodes) 19.099 * * [simplify]: Extracting #0: cost 1 inf + 0 19.100 * * [simplify]: Extracting #1: cost 0 inf + 1 19.100 * [simplify]: Simplified to 1 19.100 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.100 * * * * [progress]: [ 165 / 196 ] simplifiying candidate # 19.100 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 19.100 * * [simplify]: iters left: 5 (7 enodes) 19.107 * * [simplify]: iters left: 4 (25 enodes) 19.113 * * [simplify]: iters left: 3 (27 enodes) 19.116 * * [simplify]: Extracting #0: cost 1 inf + 0 19.116 * * [simplify]: Extracting #1: cost 4 inf + 0 19.116 * * [simplify]: Extracting #2: cost 5 inf + 1 19.116 * * [simplify]: Extracting #3: cost 7 inf + 1 19.116 * * [simplify]: Extracting #4: cost 6 inf + 2 19.116 * * [simplify]: Extracting #5: cost 2 inf + 368 19.117 * * [simplify]: Extracting #6: cost 0 inf + 490 19.117 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.117 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.117 * * * * [progress]: [ 166 / 196 ] simplifiying candidate # 19.117 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 19.117 * * [simplify]: iters left: 5 (4 enodes) 19.121 * * [simplify]: iters left: 4 (14 enodes) 19.123 * * [simplify]: iters left: 3 (16 enodes) 19.125 * * [simplify]: Extracting #0: cost 1 inf + 0 19.125 * * [simplify]: Extracting #1: cost 0 inf + 1 19.125 * [simplify]: Simplified to 1 19.125 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.125 * * * * [progress]: [ 167 / 196 ] simplifiying candidate # 19.125 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.125 * * [simplify]: iters left: 6 (7 enodes) 19.128 * * [simplify]: iters left: 5 (25 enodes) 19.132 * * [simplify]: iters left: 4 (32 enodes) 19.137 * * [simplify]: iters left: 3 (34 enodes) 19.142 * * [simplify]: Extracting #0: cost 1 inf + 0 19.142 * * [simplify]: Extracting #1: cost 7 inf + 0 19.142 * * [simplify]: Extracting #2: cost 11 inf + 1 19.142 * * [simplify]: Extracting #3: cost 13 inf + 1 19.142 * * [simplify]: Extracting #4: cost 10 inf + 84 19.142 * * [simplify]: Extracting #5: cost 4 inf + 1014 19.142 * * [simplify]: Extracting #6: cost 1 inf + 1498 19.143 * * [simplify]: Extracting #7: cost 0 inf + 1700 19.143 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 19.143 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.143 * * * * [progress]: [ 168 / 196 ] simplifiying candidate # 19.143 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 19.143 * * [simplify]: iters left: 6 (7 enodes) 19.146 * * [simplify]: iters left: 5 (24 enodes) 19.150 * * [simplify]: iters left: 4 (26 enodes) 19.156 * * [simplify]: Extracting #0: cost 1 inf + 0 19.156 * * [simplify]: Extracting #1: cost 4 inf + 0 19.156 * * [simplify]: Extracting #2: cost 6 inf + 1 19.156 * * [simplify]: Extracting #3: cost 9 inf + 1 19.157 * * [simplify]: Extracting #4: cost 8 inf + 2 19.157 * * [simplify]: Extracting #5: cost 2 inf + 730 19.157 * * [simplify]: Extracting #6: cost 0 inf + 972 19.157 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 19.157 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.157 * * * * [progress]: [ 169 / 196 ] simplifiying candidate # 19.158 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 19.158 * * [simplify]: iters left: 4 (6 enodes) 19.162 * * [simplify]: iters left: 3 (20 enodes) 19.165 * * [simplify]: iters left: 2 (22 enodes) 19.168 * * [simplify]: Extracting #0: cost 1 inf + 0 19.168 * * [simplify]: Extracting #1: cost 4 inf + 0 19.168 * * [simplify]: Extracting #2: cost 5 inf + 1 19.168 * * [simplify]: Extracting #3: cost 7 inf + 1 19.168 * * [simplify]: Extracting #4: cost 1 inf + 368 19.168 * * [simplify]: Extracting #5: cost 0 inf + 490 19.168 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.168 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.169 * * * * [progress]: [ 170 / 196 ] simplifiying candidate # 19.169 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 19.169 * * [simplify]: iters left: 3 (3 enodes) 19.171 * * [simplify]: iters left: 2 (9 enodes) 19.172 * * [simplify]: iters left: 1 (11 enodes) 19.174 * * [simplify]: Extracting #0: cost 1 inf + 0 19.174 * * [simplify]: Extracting #1: cost 0 inf + 1 19.174 * [simplify]: Simplified to 1 19.174 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.174 * * * * [progress]: [ 171 / 196 ] simplifiying candidate # 19.174 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 19.174 * * [simplify]: iters left: 4 (6 enodes) 19.176 * * [simplify]: iters left: 3 (20 enodes) 19.180 * * [simplify]: iters left: 2 (22 enodes) 19.183 * * [simplify]: Extracting #0: cost 1 inf + 0 19.183 * * [simplify]: Extracting #1: cost 4 inf + 0 19.183 * * [simplify]: Extracting #2: cost 5 inf + 1 19.183 * * [simplify]: Extracting #3: cost 7 inf + 1 19.183 * * [simplify]: Extracting #4: cost 1 inf + 368 19.183 * * [simplify]: Extracting #5: cost 0 inf + 490 19.183 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.183 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.184 * * * * [progress]: [ 172 / 196 ] simplifiying candidate # 19.184 * [simplify]: Simplifying (/ (sqrt 1) 1) 19.184 * * [simplify]: iters left: 3 (3 enodes) 19.186 * * [simplify]: iters left: 2 (9 enodes) 19.187 * * [simplify]: iters left: 1 (11 enodes) 19.188 * * [simplify]: Extracting #0: cost 1 inf + 0 19.189 * * [simplify]: Extracting #1: cost 0 inf + 1 19.189 * [simplify]: Simplified to 1 19.189 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.189 * * * * [progress]: [ 173 / 196 ] simplifiying candidate # 19.189 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.189 * * [simplify]: iters left: 6 (6 enodes) 19.190 * * [simplify]: iters left: 5 (22 enodes) 19.194 * * [simplify]: iters left: 4 (26 enodes) 19.200 * * [simplify]: Extracting #0: cost 1 inf + 0 19.200 * * [simplify]: Extracting #1: cost 6 inf + 0 19.200 * * [simplify]: Extracting #2: cost 9 inf + 1 19.200 * * [simplify]: Extracting #3: cost 11 inf + 1 19.200 * * [simplify]: Extracting #4: cost 8 inf + 84 19.200 * * [simplify]: Extracting #5: cost 2 inf + 1013 19.200 * * [simplify]: Extracting #6: cost 0 inf + 1376 19.200 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.200 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.200 * * * * [progress]: [ 174 / 196 ] simplifiying candidate # 19.201 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 19.201 * * [simplify]: iters left: 6 (6 enodes) 19.202 * * [simplify]: iters left: 5 (21 enodes) 19.206 * * [simplify]: iters left: 4 (23 enodes) 19.212 * * [simplify]: Extracting #0: cost 1 inf + 0 19.212 * * [simplify]: Extracting #1: cost 4 inf + 0 19.212 * * [simplify]: Extracting #2: cost 6 inf + 1 19.212 * * [simplify]: Extracting #3: cost 9 inf + 1 19.212 * * [simplify]: Extracting #4: cost 8 inf + 2 19.213 * * [simplify]: Extracting #5: cost 1 inf + 810 19.213 * * [simplify]: Extracting #6: cost 0 inf + 972 19.213 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 19.213 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.213 * * * * [progress]: [ 175 / 196 ] simplifiying candidate # 19.214 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 19.214 * * [simplify]: iters left: 4 (5 enodes) 19.216 * * [simplify]: iters left: 3 (17 enodes) 19.222 * * [simplify]: iters left: 2 (19 enodes) 19.228 * * [simplify]: Extracting #0: cost 1 inf + 0 19.228 * * [simplify]: Extracting #1: cost 4 inf + 0 19.228 * * [simplify]: Extracting #2: cost 5 inf + 1 19.228 * * [simplify]: Extracting #3: cost 7 inf + 1 19.228 * * [simplify]: Extracting #4: cost 0 inf + 490 19.228 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.228 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.229 * * * * [progress]: [ 176 / 196 ] simplifiying candidate # 19.229 * [simplify]: Simplifying (/ 1 (sqrt 1)) 19.229 * * [simplify]: iters left: 3 (3 enodes) 19.235 * * [simplify]: iters left: 2 (11 enodes) 19.237 * * [simplify]: iters left: 1 (13 enodes) 19.239 * * [simplify]: Extracting #0: cost 1 inf + 0 19.240 * * [simplify]: Extracting #1: cost 0 inf + 1 19.240 * [simplify]: Simplified to 1 19.240 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.240 * * * * [progress]: [ 177 / 196 ] simplifiying candidate # 19.240 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 19.240 * * [simplify]: iters left: 4 (5 enodes) 19.241 * * [simplify]: iters left: 3 (17 enodes) 19.244 * * [simplify]: iters left: 2 (19 enodes) 19.247 * * [simplify]: Extracting #0: cost 1 inf + 0 19.247 * * [simplify]: Extracting #1: cost 4 inf + 0 19.247 * * [simplify]: Extracting #2: cost 5 inf + 1 19.247 * * [simplify]: Extracting #3: cost 7 inf + 1 19.247 * * [simplify]: Extracting #4: cost 0 inf + 490 19.247 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.247 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.247 * * * * [progress]: [ 178 / 196 ] simplifiying candidate # 19.247 * [simplify]: Simplifying (/ 1 1) 19.247 * * [simplify]: iters left: 2 (2 enodes) 19.248 * * [simplify]: iters left: 1 (6 enodes) 19.249 * * [simplify]: Extracting #0: cost 1 inf + 0 19.249 * * [simplify]: Extracting #1: cost 0 inf + 1 19.249 * [simplify]: Simplified to 1 19.249 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.249 * * * * [progress]: [ 179 / 196 ] simplifiying candidate # 19.249 * * * * [progress]: [ 180 / 196 ] simplifiying candidate # 19.249 * * * * [progress]: [ 181 / 196 ] simplifiying candidate # 19.249 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 19.250 * * [simplify]: iters left: 5 (8 enodes) 19.252 * * [simplify]: iters left: 4 (31 enodes) 19.257 * * [simplify]: iters left: 3 (51 enodes) 19.265 * * [simplify]: iters left: 2 (85 enodes) 19.293 * * [simplify]: iters left: 1 (152 enodes) 19.332 * * [simplify]: Extracting #0: cost 1 inf + 0 19.332 * * [simplify]: Extracting #1: cost 13 inf + 0 19.332 * * [simplify]: Extracting #2: cost 60 inf + 1 19.333 * * [simplify]: Extracting #3: cost 76 inf + 51 19.334 * * [simplify]: Extracting #4: cost 44 inf + 2846 19.337 * * [simplify]: Extracting #5: cost 21 inf + 7590 19.342 * * [simplify]: Extracting #6: cost 1 inf + 20687 19.347 * * [simplify]: Extracting #7: cost 0 inf + 20539 19.349 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 19.349 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2)))) 19.349 * * * * [progress]: [ 182 / 196 ] simplifiying candidate # 19.350 * [simplify]: Simplifying (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 19.350 * * [simplify]: iters left: 6 (11 enodes) 19.353 * * [simplify]: iters left: 5 (47 enodes) 19.362 * * [simplify]: iters left: 4 (82 enodes) 19.377 * * [simplify]: iters left: 3 (126 enodes) 19.415 * * [simplify]: iters left: 2 (214 enodes) 19.461 * * [simplify]: iters left: 1 (362 enodes) 19.574 * * [simplify]: Extracting #0: cost 1 inf + 0 19.574 * * [simplify]: Extracting #1: cost 19 inf + 0 19.574 * * [simplify]: Extracting #2: cost 84 inf + 2 19.575 * * [simplify]: Extracting #3: cost 142 inf + 8 19.575 * * [simplify]: Extracting #4: cost 153 inf + 350 19.577 * * [simplify]: Extracting #5: cost 98 inf + 5365 19.579 * * [simplify]: Extracting #6: cost 51 inf + 13465 19.589 * * [simplify]: Extracting #7: cost 7 inf + 43506 19.605 * * [simplify]: Extracting #8: cost 0 inf + 48877 19.622 * [simplify]: Simplified to (pow (* (* n PI) 2) (/ (- 1 k) 2)) 19.622 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* n PI) 2) (/ (- 1 k) 2)) (sqrt k))) 19.622 * * * * [progress]: [ 183 / 196 ] simplifiying candidate #real (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 19.622 * * * * [progress]: [ 184 / 196 ] simplifiying candidate # 19.622 * * * * [progress]: [ 185 / 196 ] simplifiying candidate # 19.622 * [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))))) 19.623 * * [simplify]: iters left: 6 (37 enodes) 19.634 * * [simplify]: iters left: 5 (190 enodes) 19.681 * * [simplify]: Extracting #0: cost 1 inf + 0 19.681 * * [simplify]: Extracting #1: cost 22 inf + 0 19.681 * * [simplify]: Extracting #2: cost 108 inf + 1 19.682 * * [simplify]: Extracting #3: cost 171 inf + 46 19.682 * * [simplify]: Extracting #4: cost 189 inf + 427 19.687 * * [simplify]: Extracting #5: cost 128 inf + 16032 19.704 * * [simplify]: Extracting #6: cost 29 inf + 57153 19.733 * * [simplify]: Extracting #7: cost 4 inf + 75884 19.764 * * [simplify]: Extracting #8: cost 0 inf + 78767 19.785 * [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))) 19.785 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (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))))) 19.786 * * * * [progress]: [ 186 / 196 ] simplifiying candidate # 19.786 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 19.786 * * [simplify]: iters left: 6 (15 enodes) 19.791 * * [simplify]: iters left: 5 (65 enodes) 19.810 * * [simplify]: iters left: 4 (123 enodes) 19.862 * * [simplify]: iters left: 3 (367 enodes) 20.045 * * [simplify]: Extracting #0: cost 1 inf + 0 20.045 * * [simplify]: Extracting #1: cost 37 inf + 0 20.045 * * [simplify]: Extracting #2: cost 216 inf + 72 20.046 * * [simplify]: Extracting #3: cost 356 inf + 1622 20.051 * * [simplify]: Extracting #4: cost 219 inf + 28945 20.078 * * [simplify]: Extracting #5: cost 21 inf + 83197 20.109 * * [simplify]: Extracting #6: cost 0 inf + 89881 20.131 * * [simplify]: Extracting #7: cost 0 inf + 89729 20.159 * * [simplify]: Extracting #8: cost 0 inf + 89726 20.175 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 20.175 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))))) 20.175 * * * * [progress]: [ 187 / 196 ] simplifiying candidate # 20.175 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 20.175 * * [simplify]: iters left: 6 (16 enodes) 20.180 * * [simplify]: iters left: 5 (67 enodes) 20.193 * * [simplify]: iters left: 4 (134 enodes) 20.248 * * [simplify]: iters left: 3 (413 enodes) 20.503 * * [simplify]: Extracting #0: cost 1 inf + 0 20.503 * * [simplify]: Extracting #1: cost 39 inf + 0 20.504 * * [simplify]: Extracting #2: cost 241 inf + 72 20.507 * * [simplify]: Extracting #3: cost 450 inf + 903 20.513 * * [simplify]: Extracting #4: cost 376 inf + 10375 20.539 * * [simplify]: Extracting #5: cost 158 inf + 67083 20.561 * * [simplify]: Extracting #6: cost 12 inf + 118840 20.593 * * [simplify]: Extracting #7: cost 0 inf + 121984 20.641 * * [simplify]: Extracting #8: cost 0 inf + 121983 20.688 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 20.689 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))))) 20.689 * * * * [progress]: [ 188 / 196 ] simplifiying candidate # 20.689 * [simplify]: Simplifying (* 2 (* n PI)) 20.689 * * [simplify]: iters left: 4 (5 enodes) 20.692 * * [simplify]: iters left: 3 (19 enodes) 20.698 * * [simplify]: iters left: 2 (27 enodes) 20.707 * * [simplify]: iters left: 1 (32 enodes) 20.714 * * [simplify]: Extracting #0: cost 1 inf + 0 20.714 * * [simplify]: Extracting #1: cost 8 inf + 0 20.714 * * [simplify]: Extracting #2: cost 7 inf + 45 20.715 * * [simplify]: Extracting #3: cost 0 inf + 421 20.715 * [simplify]: Simplified to (* (* PI n) 2) 20.715 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 20.715 * * * * [progress]: [ 189 / 196 ] simplifiying candidate # 20.715 * [simplify]: Simplifying (* 2 (* n PI)) 20.715 * * [simplify]: iters left: 4 (5 enodes) 20.718 * * [simplify]: iters left: 3 (19 enodes) 20.725 * * [simplify]: iters left: 2 (27 enodes) 20.733 * * [simplify]: iters left: 1 (32 enodes) 20.741 * * [simplify]: Extracting #0: cost 1 inf + 0 20.741 * * [simplify]: Extracting #1: cost 8 inf + 0 20.741 * * [simplify]: Extracting #2: cost 7 inf + 45 20.741 * * [simplify]: Extracting #3: cost 0 inf + 421 20.742 * [simplify]: Simplified to (* (* PI n) 2) 20.742 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 20.742 * * * * [progress]: [ 190 / 196 ] simplifiying candidate # 20.742 * [simplify]: Simplifying (* 2 (* n PI)) 20.742 * * [simplify]: iters left: 4 (5 enodes) 20.745 * * [simplify]: iters left: 3 (19 enodes) 20.752 * * [simplify]: iters left: 2 (27 enodes) 20.760 * * [simplify]: iters left: 1 (32 enodes) 20.768 * * [simplify]: Extracting #0: cost 1 inf + 0 20.768 * * [simplify]: Extracting #1: cost 8 inf + 0 20.768 * * [simplify]: Extracting #2: cost 7 inf + 45 20.768 * * [simplify]: Extracting #3: cost 0 inf + 421 20.768 * [simplify]: Simplified to (* (* PI n) 2) 20.768 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 20.769 * * * * [progress]: [ 191 / 196 ] simplifiying candidate # 20.769 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 20.769 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 20.769 * * * * [progress]: [ 192 / 196 ] simplifiying candidate # 20.769 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 20.769 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 20.770 * * * * [progress]: [ 193 / 196 ] simplifiying candidate # 20.770 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 20.770 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 20.770 * * * * [progress]: [ 194 / 196 ] simplifiying candidate # 20.770 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 20.770 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 20.771 * * * * [progress]: [ 195 / 196 ] simplifiying candidate # 20.771 * [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)))))))) 20.771 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 20.771 * * * * [progress]: [ 196 / 196 ] simplifiying candidate # 20.772 * [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)))))))))))) 20.772 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 20.772 * * * [progress]: adding candidates to table 22.968 * * [progress]: iteration 2 / 4 22.968 * * * [progress]: picking best candidate 23.009 * * * * [pick]: Picked # 23.010 * * * [progress]: localizing error 23.063 * * * [progress]: generating rewritten candidates 23.063 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 23.094 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 23.113 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 23.146 * * * [progress]: generating series expansions 23.146 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 23.147 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 23.147 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 23.147 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 23.147 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 23.147 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 23.147 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 23.147 * [taylor]: Taking taylor expansion of 1/2 in k 23.147 * [backup-simplify]: Simplify 1/2 into 1/2 23.147 * [taylor]: Taking taylor expansion of (- 1 k) in k 23.147 * [taylor]: Taking taylor expansion of 1 in k 23.147 * [backup-simplify]: Simplify 1 into 1 23.147 * [taylor]: Taking taylor expansion of k in k 23.147 * [backup-simplify]: Simplify 0 into 0 23.147 * [backup-simplify]: Simplify 1 into 1 23.148 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 23.148 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 23.148 * [taylor]: Taking taylor expansion of 2 in k 23.148 * [backup-simplify]: Simplify 2 into 2 23.148 * [taylor]: Taking taylor expansion of (* n PI) in k 23.148 * [taylor]: Taking taylor expansion of n in k 23.148 * [backup-simplify]: Simplify n into n 23.148 * [taylor]: Taking taylor expansion of PI in k 23.148 * [backup-simplify]: Simplify PI into PI 23.148 * [backup-simplify]: Simplify (* n PI) into (* n PI) 23.148 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 23.148 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 23.148 * [backup-simplify]: Simplify (- 0) into 0 23.149 * [backup-simplify]: Simplify (+ 1 0) into 1 23.149 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 23.149 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 23.149 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 23.150 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 23.150 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 23.150 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 23.150 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 23.150 * [taylor]: Taking taylor expansion of 1/2 in n 23.150 * [backup-simplify]: Simplify 1/2 into 1/2 23.150 * [taylor]: Taking taylor expansion of (- 1 k) in n 23.150 * [taylor]: Taking taylor expansion of 1 in n 23.150 * [backup-simplify]: Simplify 1 into 1 23.150 * [taylor]: Taking taylor expansion of k in n 23.150 * [backup-simplify]: Simplify k into k 23.150 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 23.150 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 23.150 * [taylor]: Taking taylor expansion of 2 in n 23.150 * [backup-simplify]: Simplify 2 into 2 23.150 * [taylor]: Taking taylor expansion of (* n PI) in n 23.150 * [taylor]: Taking taylor expansion of n in n 23.150 * [backup-simplify]: Simplify 0 into 0 23.150 * [backup-simplify]: Simplify 1 into 1 23.150 * [taylor]: Taking taylor expansion of PI in n 23.150 * [backup-simplify]: Simplify PI into PI 23.150 * [backup-simplify]: Simplify (* 0 PI) into 0 23.151 * [backup-simplify]: Simplify (* 2 0) into 0 23.152 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 23.154 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 23.155 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.155 * [backup-simplify]: Simplify (- k) into (- k) 23.155 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 23.155 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 23.156 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 23.157 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 23.158 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 23.158 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 23.158 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 23.159 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 23.159 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 23.159 * [taylor]: Taking taylor expansion of 1/2 in n 23.159 * [backup-simplify]: Simplify 1/2 into 1/2 23.159 * [taylor]: Taking taylor expansion of (- 1 k) in n 23.159 * [taylor]: Taking taylor expansion of 1 in n 23.159 * [backup-simplify]: Simplify 1 into 1 23.159 * [taylor]: Taking taylor expansion of k in n 23.159 * [backup-simplify]: Simplify k into k 23.159 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 23.159 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 23.159 * [taylor]: Taking taylor expansion of 2 in n 23.159 * [backup-simplify]: Simplify 2 into 2 23.159 * [taylor]: Taking taylor expansion of (* n PI) in n 23.159 * [taylor]: Taking taylor expansion of n in n 23.159 * [backup-simplify]: Simplify 0 into 0 23.159 * [backup-simplify]: Simplify 1 into 1 23.159 * [taylor]: Taking taylor expansion of PI in n 23.159 * [backup-simplify]: Simplify PI into PI 23.159 * [backup-simplify]: Simplify (* 0 PI) into 0 23.160 * [backup-simplify]: Simplify (* 2 0) into 0 23.161 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 23.163 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 23.164 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.164 * [backup-simplify]: Simplify (- k) into (- k) 23.164 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 23.164 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 23.165 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 23.167 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 23.168 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 23.168 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 23.168 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 23.168 * [taylor]: Taking taylor expansion of 1/2 in k 23.168 * [backup-simplify]: Simplify 1/2 into 1/2 23.168 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 23.168 * [taylor]: Taking taylor expansion of (- 1 k) in k 23.168 * [taylor]: Taking taylor expansion of 1 in k 23.168 * [backup-simplify]: Simplify 1 into 1 23.168 * [taylor]: Taking taylor expansion of k in k 23.168 * [backup-simplify]: Simplify 0 into 0 23.168 * [backup-simplify]: Simplify 1 into 1 23.168 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 23.168 * [taylor]: Taking taylor expansion of (log n) in k 23.168 * [taylor]: Taking taylor expansion of n in k 23.168 * [backup-simplify]: Simplify n into n 23.168 * [backup-simplify]: Simplify (log n) into (log n) 23.168 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 23.168 * [taylor]: Taking taylor expansion of (* 2 PI) in k 23.168 * [taylor]: Taking taylor expansion of 2 in k 23.168 * [backup-simplify]: Simplify 2 into 2 23.168 * [taylor]: Taking taylor expansion of PI in k 23.168 * [backup-simplify]: Simplify PI into PI 23.169 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.170 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.170 * [backup-simplify]: Simplify (- 0) into 0 23.171 * [backup-simplify]: Simplify (+ 1 0) into 1 23.172 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 23.173 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 23.174 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 23.174 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 23.175 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 23.176 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 23.176 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 23.177 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 23.177 * [backup-simplify]: Simplify (- 0) into 0 23.178 * [backup-simplify]: Simplify (+ 0 0) into 0 23.178 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 23.179 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 23.180 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 23.181 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 23.181 * [taylor]: Taking taylor expansion of 0 in k 23.181 * [backup-simplify]: Simplify 0 into 0 23.181 * [backup-simplify]: Simplify 0 into 0 23.181 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 23.182 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 23.183 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 23.183 * [backup-simplify]: Simplify (+ 0 0) into 0 23.183 * [backup-simplify]: Simplify (- 1) into -1 23.183 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.184 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 23.185 * [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))))) 23.187 * [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))))))) 23.189 * [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))))))) 23.189 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 23.190 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 23.192 * [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 23.192 * [backup-simplify]: Simplify (- 0) into 0 23.192 * [backup-simplify]: Simplify (+ 0 0) into 0 23.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 23.194 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 23.194 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 23.196 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 23.196 * [taylor]: Taking taylor expansion of 0 in k 23.196 * [backup-simplify]: Simplify 0 into 0 23.196 * [backup-simplify]: Simplify 0 into 0 23.196 * [backup-simplify]: Simplify 0 into 0 23.197 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 23.197 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 23.199 * [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 23.199 * [backup-simplify]: Simplify (+ 0 0) into 0 23.200 * [backup-simplify]: Simplify (- 0) into 0 23.200 * [backup-simplify]: Simplify (+ 0 0) into 0 23.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 23.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 23.207 * [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))))) 23.212 * [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))))) 23.221 * [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))))) 23.222 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 23.222 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 23.222 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 23.222 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 23.222 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 23.222 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 23.222 * [taylor]: Taking taylor expansion of 1/2 in k 23.222 * [backup-simplify]: Simplify 1/2 into 1/2 23.222 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 23.222 * [taylor]: Taking taylor expansion of 1 in k 23.222 * [backup-simplify]: Simplify 1 into 1 23.222 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.222 * [taylor]: Taking taylor expansion of k in k 23.222 * [backup-simplify]: Simplify 0 into 0 23.222 * [backup-simplify]: Simplify 1 into 1 23.222 * [backup-simplify]: Simplify (/ 1 1) into 1 23.222 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 23.222 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 23.222 * [taylor]: Taking taylor expansion of 2 in k 23.222 * [backup-simplify]: Simplify 2 into 2 23.223 * [taylor]: Taking taylor expansion of (/ PI n) in k 23.223 * [taylor]: Taking taylor expansion of PI in k 23.223 * [backup-simplify]: Simplify PI into PI 23.223 * [taylor]: Taking taylor expansion of n in k 23.223 * [backup-simplify]: Simplify n into n 23.223 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 23.223 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 23.223 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 23.223 * [backup-simplify]: Simplify (- 1) into -1 23.224 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.224 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 23.224 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 23.224 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 23.224 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 23.224 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 23.224 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 23.224 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 23.224 * [taylor]: Taking taylor expansion of 1/2 in n 23.225 * [backup-simplify]: Simplify 1/2 into 1/2 23.225 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 23.225 * [taylor]: Taking taylor expansion of 1 in n 23.225 * [backup-simplify]: Simplify 1 into 1 23.225 * [taylor]: Taking taylor expansion of (/ 1 k) in n 23.225 * [taylor]: Taking taylor expansion of k in n 23.225 * [backup-simplify]: Simplify k into k 23.225 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 23.225 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 23.225 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 23.225 * [taylor]: Taking taylor expansion of 2 in n 23.225 * [backup-simplify]: Simplify 2 into 2 23.225 * [taylor]: Taking taylor expansion of (/ PI n) in n 23.225 * [taylor]: Taking taylor expansion of PI in n 23.225 * [backup-simplify]: Simplify PI into PI 23.225 * [taylor]: Taking taylor expansion of n in n 23.225 * [backup-simplify]: Simplify 0 into 0 23.225 * [backup-simplify]: Simplify 1 into 1 23.225 * [backup-simplify]: Simplify (/ PI 1) into PI 23.226 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.227 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.227 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 23.227 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 23.227 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 23.228 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 23.230 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 23.231 * [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))))) 23.231 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 23.231 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 23.231 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 23.231 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 23.231 * [taylor]: Taking taylor expansion of 1/2 in n 23.231 * [backup-simplify]: Simplify 1/2 into 1/2 23.231 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 23.231 * [taylor]: Taking taylor expansion of 1 in n 23.231 * [backup-simplify]: Simplify 1 into 1 23.231 * [taylor]: Taking taylor expansion of (/ 1 k) in n 23.231 * [taylor]: Taking taylor expansion of k in n 23.231 * [backup-simplify]: Simplify k into k 23.231 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 23.231 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 23.231 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 23.231 * [taylor]: Taking taylor expansion of 2 in n 23.231 * [backup-simplify]: Simplify 2 into 2 23.231 * [taylor]: Taking taylor expansion of (/ PI n) in n 23.231 * [taylor]: Taking taylor expansion of PI in n 23.231 * [backup-simplify]: Simplify PI into PI 23.231 * [taylor]: Taking taylor expansion of n in n 23.231 * [backup-simplify]: Simplify 0 into 0 23.231 * [backup-simplify]: Simplify 1 into 1 23.232 * [backup-simplify]: Simplify (/ PI 1) into PI 23.232 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.233 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.233 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 23.233 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 23.234 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 23.235 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 23.236 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 23.237 * [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))))) 23.237 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 23.237 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 23.237 * [taylor]: Taking taylor expansion of 1/2 in k 23.237 * [backup-simplify]: Simplify 1/2 into 1/2 23.237 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 23.237 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 23.237 * [taylor]: Taking taylor expansion of 1 in k 23.237 * [backup-simplify]: Simplify 1 into 1 23.237 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.237 * [taylor]: Taking taylor expansion of k in k 23.237 * [backup-simplify]: Simplify 0 into 0 23.237 * [backup-simplify]: Simplify 1 into 1 23.238 * [backup-simplify]: Simplify (/ 1 1) into 1 23.238 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 23.238 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 23.238 * [taylor]: Taking taylor expansion of (* 2 PI) in k 23.238 * [taylor]: Taking taylor expansion of 2 in k 23.238 * [backup-simplify]: Simplify 2 into 2 23.238 * [taylor]: Taking taylor expansion of PI in k 23.238 * [backup-simplify]: Simplify PI into PI 23.238 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.239 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.239 * [taylor]: Taking taylor expansion of (log n) in k 23.239 * [taylor]: Taking taylor expansion of n in k 23.239 * [backup-simplify]: Simplify n into n 23.239 * [backup-simplify]: Simplify (log n) into (log n) 23.240 * [backup-simplify]: Simplify (- 1) into -1 23.240 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.240 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 23.241 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 23.242 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 23.243 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 23.244 * [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))))) 23.245 * [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))))) 23.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 23.247 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 23.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 23.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 23.249 * [backup-simplify]: Simplify (- 0) into 0 23.249 * [backup-simplify]: Simplify (+ 0 0) into 0 23.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 23.251 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 23.252 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 23.254 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 23.254 * [taylor]: Taking taylor expansion of 0 in k 23.254 * [backup-simplify]: Simplify 0 into 0 23.254 * [backup-simplify]: Simplify 0 into 0 23.254 * [backup-simplify]: Simplify 0 into 0 23.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.256 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 23.260 * [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 23.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 23.260 * [backup-simplify]: Simplify (- 0) into 0 23.261 * [backup-simplify]: Simplify (+ 0 0) into 0 23.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 23.263 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 23.265 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 23.267 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 23.267 * [taylor]: Taking taylor expansion of 0 in k 23.267 * [backup-simplify]: Simplify 0 into 0 23.267 * [backup-simplify]: Simplify 0 into 0 23.267 * [backup-simplify]: Simplify 0 into 0 23.267 * [backup-simplify]: Simplify 0 into 0 23.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.269 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 23.275 * [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 23.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 23.276 * [backup-simplify]: Simplify (- 0) into 0 23.276 * [backup-simplify]: Simplify (+ 0 0) into 0 23.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 23.279 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 23.281 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 23.283 * [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 23.283 * [taylor]: Taking taylor expansion of 0 in k 23.283 * [backup-simplify]: Simplify 0 into 0 23.283 * [backup-simplify]: Simplify 0 into 0 23.283 * [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)))))) 23.284 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 23.284 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 23.284 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 23.284 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 23.284 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 23.284 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 23.284 * [taylor]: Taking taylor expansion of 1/2 in k 23.284 * [backup-simplify]: Simplify 1/2 into 1/2 23.284 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 23.284 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.284 * [taylor]: Taking taylor expansion of k in k 23.284 * [backup-simplify]: Simplify 0 into 0 23.284 * [backup-simplify]: Simplify 1 into 1 23.284 * [backup-simplify]: Simplify (/ 1 1) into 1 23.284 * [taylor]: Taking taylor expansion of 1 in k 23.284 * [backup-simplify]: Simplify 1 into 1 23.284 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 23.284 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 23.284 * [taylor]: Taking taylor expansion of -2 in k 23.284 * [backup-simplify]: Simplify -2 into -2 23.284 * [taylor]: Taking taylor expansion of (/ PI n) in k 23.284 * [taylor]: Taking taylor expansion of PI in k 23.284 * [backup-simplify]: Simplify PI into PI 23.284 * [taylor]: Taking taylor expansion of n in k 23.284 * [backup-simplify]: Simplify n into n 23.284 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 23.285 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 23.285 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 23.285 * [backup-simplify]: Simplify (+ 1 0) into 1 23.285 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 23.285 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 23.285 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 23.285 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 23.285 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 23.285 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 23.285 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 23.285 * [taylor]: Taking taylor expansion of 1/2 in n 23.285 * [backup-simplify]: Simplify 1/2 into 1/2 23.285 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 23.285 * [taylor]: Taking taylor expansion of (/ 1 k) in n 23.285 * [taylor]: Taking taylor expansion of k in n 23.286 * [backup-simplify]: Simplify k into k 23.286 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 23.286 * [taylor]: Taking taylor expansion of 1 in n 23.286 * [backup-simplify]: Simplify 1 into 1 23.286 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 23.286 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 23.286 * [taylor]: Taking taylor expansion of -2 in n 23.286 * [backup-simplify]: Simplify -2 into -2 23.286 * [taylor]: Taking taylor expansion of (/ PI n) in n 23.286 * [taylor]: Taking taylor expansion of PI in n 23.286 * [backup-simplify]: Simplify PI into PI 23.286 * [taylor]: Taking taylor expansion of n in n 23.286 * [backup-simplify]: Simplify 0 into 0 23.286 * [backup-simplify]: Simplify 1 into 1 23.286 * [backup-simplify]: Simplify (/ PI 1) into PI 23.286 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 23.287 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 23.287 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 23.287 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 23.288 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 23.288 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 23.289 * [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))))) 23.289 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 23.289 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 23.289 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 23.289 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 23.289 * [taylor]: Taking taylor expansion of 1/2 in n 23.289 * [backup-simplify]: Simplify 1/2 into 1/2 23.289 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 23.289 * [taylor]: Taking taylor expansion of (/ 1 k) in n 23.289 * [taylor]: Taking taylor expansion of k in n 23.289 * [backup-simplify]: Simplify k into k 23.290 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 23.290 * [taylor]: Taking taylor expansion of 1 in n 23.290 * [backup-simplify]: Simplify 1 into 1 23.290 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 23.290 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 23.290 * [taylor]: Taking taylor expansion of -2 in n 23.290 * [backup-simplify]: Simplify -2 into -2 23.290 * [taylor]: Taking taylor expansion of (/ PI n) in n 23.290 * [taylor]: Taking taylor expansion of PI in n 23.290 * [backup-simplify]: Simplify PI into PI 23.290 * [taylor]: Taking taylor expansion of n in n 23.290 * [backup-simplify]: Simplify 0 into 0 23.290 * [backup-simplify]: Simplify 1 into 1 23.290 * [backup-simplify]: Simplify (/ PI 1) into PI 23.290 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 23.291 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 23.291 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 23.291 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 23.292 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 23.293 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 23.293 * [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))))) 23.293 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 23.293 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 23.293 * [taylor]: Taking taylor expansion of 1/2 in k 23.293 * [backup-simplify]: Simplify 1/2 into 1/2 23.293 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 23.294 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 23.294 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.294 * [taylor]: Taking taylor expansion of k in k 23.294 * [backup-simplify]: Simplify 0 into 0 23.294 * [backup-simplify]: Simplify 1 into 1 23.294 * [backup-simplify]: Simplify (/ 1 1) into 1 23.294 * [taylor]: Taking taylor expansion of 1 in k 23.294 * [backup-simplify]: Simplify 1 into 1 23.294 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 23.294 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 23.294 * [taylor]: Taking taylor expansion of (* -2 PI) in k 23.294 * [taylor]: Taking taylor expansion of -2 in k 23.294 * [backup-simplify]: Simplify -2 into -2 23.294 * [taylor]: Taking taylor expansion of PI in k 23.294 * [backup-simplify]: Simplify PI into PI 23.294 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 23.295 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 23.295 * [taylor]: Taking taylor expansion of (log n) in k 23.295 * [taylor]: Taking taylor expansion of n in k 23.295 * [backup-simplify]: Simplify n into n 23.295 * [backup-simplify]: Simplify (log n) into (log n) 23.295 * [backup-simplify]: Simplify (+ 1 0) into 1 23.295 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 23.296 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 23.296 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 23.297 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 23.298 * [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))))) 23.298 * [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))))) 23.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 23.299 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 23.300 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 23.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 23.301 * [backup-simplify]: Simplify (+ 0 0) into 0 23.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 23.302 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 23.302 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 23.303 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 23.304 * [taylor]: Taking taylor expansion of 0 in k 23.304 * [backup-simplify]: Simplify 0 into 0 23.304 * [backup-simplify]: Simplify 0 into 0 23.304 * [backup-simplify]: Simplify 0 into 0 23.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.305 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 23.307 * [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 23.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 23.307 * [backup-simplify]: Simplify (+ 0 0) into 0 23.308 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 23.308 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 23.309 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 23.311 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 23.311 * [taylor]: Taking taylor expansion of 0 in k 23.311 * [backup-simplify]: Simplify 0 into 0 23.311 * [backup-simplify]: Simplify 0 into 0 23.311 * [backup-simplify]: Simplify 0 into 0 23.311 * [backup-simplify]: Simplify 0 into 0 23.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.313 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 23.321 * [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 23.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 23.322 * [backup-simplify]: Simplify (+ 0 0) into 0 23.324 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 23.325 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 23.326 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 23.328 * [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 23.328 * [taylor]: Taking taylor expansion of 0 in k 23.328 * [backup-simplify]: Simplify 0 into 0 23.328 * [backup-simplify]: Simplify 0 into 0 23.329 * [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)))))) 23.329 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 23.329 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 23.329 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 23.329 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 23.329 * [taylor]: Taking taylor expansion of 2 in n 23.329 * [backup-simplify]: Simplify 2 into 2 23.329 * [taylor]: Taking taylor expansion of (* n PI) in n 23.329 * [taylor]: Taking taylor expansion of n in n 23.329 * [backup-simplify]: Simplify 0 into 0 23.329 * [backup-simplify]: Simplify 1 into 1 23.329 * [taylor]: Taking taylor expansion of PI in n 23.329 * [backup-simplify]: Simplify PI into PI 23.329 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 23.329 * [taylor]: Taking taylor expansion of 2 in n 23.329 * [backup-simplify]: Simplify 2 into 2 23.329 * [taylor]: Taking taylor expansion of (* n PI) in n 23.329 * [taylor]: Taking taylor expansion of n in n 23.329 * [backup-simplify]: Simplify 0 into 0 23.329 * [backup-simplify]: Simplify 1 into 1 23.329 * [taylor]: Taking taylor expansion of PI in n 23.329 * [backup-simplify]: Simplify PI into PI 23.330 * [backup-simplify]: Simplify (* 0 PI) into 0 23.330 * [backup-simplify]: Simplify (* 2 0) into 0 23.330 * [backup-simplify]: Simplify 0 into 0 23.331 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 23.332 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 23.332 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 23.333 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 23.333 * [backup-simplify]: Simplify 0 into 0 23.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 23.334 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 23.335 * [backup-simplify]: Simplify 0 into 0 23.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 23.336 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 23.336 * [backup-simplify]: Simplify 0 into 0 23.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 23.337 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 23.338 * [backup-simplify]: Simplify 0 into 0 23.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 23.340 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 23.340 * [backup-simplify]: Simplify 0 into 0 23.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 23.342 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 23.342 * [backup-simplify]: Simplify 0 into 0 23.342 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 23.342 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 23.342 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 23.342 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 23.343 * [taylor]: Taking taylor expansion of 2 in n 23.343 * [backup-simplify]: Simplify 2 into 2 23.343 * [taylor]: Taking taylor expansion of (/ PI n) in n 23.343 * [taylor]: Taking taylor expansion of PI in n 23.343 * [backup-simplify]: Simplify PI into PI 23.343 * [taylor]: Taking taylor expansion of n in n 23.343 * [backup-simplify]: Simplify 0 into 0 23.343 * [backup-simplify]: Simplify 1 into 1 23.343 * [backup-simplify]: Simplify (/ PI 1) into PI 23.343 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 23.343 * [taylor]: Taking taylor expansion of 2 in n 23.343 * [backup-simplify]: Simplify 2 into 2 23.343 * [taylor]: Taking taylor expansion of (/ PI n) in n 23.343 * [taylor]: Taking taylor expansion of PI in n 23.343 * [backup-simplify]: Simplify PI into PI 23.343 * [taylor]: Taking taylor expansion of n in n 23.343 * [backup-simplify]: Simplify 0 into 0 23.343 * [backup-simplify]: Simplify 1 into 1 23.343 * [backup-simplify]: Simplify (/ PI 1) into PI 23.344 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.344 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 23.345 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 23.345 * [backup-simplify]: Simplify 0 into 0 23.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.346 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 23.346 * [backup-simplify]: Simplify 0 into 0 23.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.347 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 23.347 * [backup-simplify]: Simplify 0 into 0 23.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.348 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 23.348 * [backup-simplify]: Simplify 0 into 0 23.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.350 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 23.350 * [backup-simplify]: Simplify 0 into 0 23.350 * [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 23.351 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 23.351 * [backup-simplify]: Simplify 0 into 0 23.352 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 23.352 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 23.352 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 23.352 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 23.352 * [taylor]: Taking taylor expansion of -2 in n 23.352 * [backup-simplify]: Simplify -2 into -2 23.352 * [taylor]: Taking taylor expansion of (/ PI n) in n 23.352 * [taylor]: Taking taylor expansion of PI in n 23.352 * [backup-simplify]: Simplify PI into PI 23.352 * [taylor]: Taking taylor expansion of n in n 23.352 * [backup-simplify]: Simplify 0 into 0 23.352 * [backup-simplify]: Simplify 1 into 1 23.352 * [backup-simplify]: Simplify (/ PI 1) into PI 23.352 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 23.353 * [taylor]: Taking taylor expansion of -2 in n 23.353 * [backup-simplify]: Simplify -2 into -2 23.353 * [taylor]: Taking taylor expansion of (/ PI n) in n 23.353 * [taylor]: Taking taylor expansion of PI in n 23.353 * [backup-simplify]: Simplify PI into PI 23.353 * [taylor]: Taking taylor expansion of n in n 23.353 * [backup-simplify]: Simplify 0 into 0 23.353 * [backup-simplify]: Simplify 1 into 1 23.353 * [backup-simplify]: Simplify (/ PI 1) into PI 23.353 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 23.353 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 23.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 23.355 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 23.355 * [backup-simplify]: Simplify 0 into 0 23.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.357 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 23.357 * [backup-simplify]: Simplify 0 into 0 23.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.359 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 23.359 * [backup-simplify]: Simplify 0 into 0 23.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.361 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 23.361 * [backup-simplify]: Simplify 0 into 0 23.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.364 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 23.364 * [backup-simplify]: Simplify 0 into 0 23.365 * [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 23.366 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 23.366 * [backup-simplify]: Simplify 0 into 0 23.367 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 23.367 * * * * [progress]: [ 3 / 3 ] generating series at (2) 23.368 * [backup-simplify]: Simplify (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 23.368 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 23.368 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 23.368 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 23.368 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 23.368 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 23.368 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 23.368 * [taylor]: Taking taylor expansion of 1/2 in n 23.368 * [backup-simplify]: Simplify 1/2 into 1/2 23.368 * [taylor]: Taking taylor expansion of (- 1 k) in n 23.368 * [taylor]: Taking taylor expansion of 1 in n 23.368 * [backup-simplify]: Simplify 1 into 1 23.368 * [taylor]: Taking taylor expansion of k in n 23.368 * [backup-simplify]: Simplify k into k 23.368 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 23.368 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 23.368 * [taylor]: Taking taylor expansion of 2 in n 23.368 * [backup-simplify]: Simplify 2 into 2 23.368 * [taylor]: Taking taylor expansion of (* n PI) in n 23.368 * [taylor]: Taking taylor expansion of n in n 23.368 * [backup-simplify]: Simplify 0 into 0 23.368 * [backup-simplify]: Simplify 1 into 1 23.368 * [taylor]: Taking taylor expansion of PI in n 23.368 * [backup-simplify]: Simplify PI into PI 23.369 * [backup-simplify]: Simplify (* 0 PI) into 0 23.369 * [backup-simplify]: Simplify (* 2 0) into 0 23.371 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 23.372 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 23.373 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.373 * [backup-simplify]: Simplify (- k) into (- k) 23.373 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 23.373 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 23.374 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 23.375 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 23.377 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 23.377 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 23.377 * [taylor]: Taking taylor expansion of (/ 1 k) in n 23.377 * [taylor]: Taking taylor expansion of k in n 23.377 * [backup-simplify]: Simplify k into k 23.377 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 23.377 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 23.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 23.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 23.377 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 23.377 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 23.377 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 23.377 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 23.377 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 23.377 * [taylor]: Taking taylor expansion of 1/2 in k 23.377 * [backup-simplify]: Simplify 1/2 into 1/2 23.377 * [taylor]: Taking taylor expansion of (- 1 k) in k 23.377 * [taylor]: Taking taylor expansion of 1 in k 23.378 * [backup-simplify]: Simplify 1 into 1 23.378 * [taylor]: Taking taylor expansion of k in k 23.378 * [backup-simplify]: Simplify 0 into 0 23.378 * [backup-simplify]: Simplify 1 into 1 23.378 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 23.378 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 23.378 * [taylor]: Taking taylor expansion of 2 in k 23.378 * [backup-simplify]: Simplify 2 into 2 23.378 * [taylor]: Taking taylor expansion of (* n PI) in k 23.378 * [taylor]: Taking taylor expansion of n in k 23.378 * [backup-simplify]: Simplify n into n 23.378 * [taylor]: Taking taylor expansion of PI in k 23.378 * [backup-simplify]: Simplify PI into PI 23.378 * [backup-simplify]: Simplify (* n PI) into (* n PI) 23.378 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 23.378 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 23.378 * [backup-simplify]: Simplify (- 0) into 0 23.379 * [backup-simplify]: Simplify (+ 1 0) into 1 23.379 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 23.379 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 23.380 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 23.380 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 23.380 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.380 * [taylor]: Taking taylor expansion of k in k 23.380 * [backup-simplify]: Simplify 0 into 0 23.380 * [backup-simplify]: Simplify 1 into 1 23.380 * [backup-simplify]: Simplify (/ 1 1) into 1 23.380 * [backup-simplify]: Simplify (sqrt 0) into 0 23.382 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 23.382 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 23.382 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 23.382 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 23.382 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 23.382 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 23.382 * [taylor]: Taking taylor expansion of 1/2 in k 23.382 * [backup-simplify]: Simplify 1/2 into 1/2 23.382 * [taylor]: Taking taylor expansion of (- 1 k) in k 23.382 * [taylor]: Taking taylor expansion of 1 in k 23.382 * [backup-simplify]: Simplify 1 into 1 23.382 * [taylor]: Taking taylor expansion of k in k 23.382 * [backup-simplify]: Simplify 0 into 0 23.382 * [backup-simplify]: Simplify 1 into 1 23.382 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 23.382 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 23.382 * [taylor]: Taking taylor expansion of 2 in k 23.382 * [backup-simplify]: Simplify 2 into 2 23.382 * [taylor]: Taking taylor expansion of (* n PI) in k 23.382 * [taylor]: Taking taylor expansion of n in k 23.383 * [backup-simplify]: Simplify n into n 23.383 * [taylor]: Taking taylor expansion of PI in k 23.383 * [backup-simplify]: Simplify PI into PI 23.383 * [backup-simplify]: Simplify (* n PI) into (* n PI) 23.383 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 23.383 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 23.383 * [backup-simplify]: Simplify (- 0) into 0 23.384 * [backup-simplify]: Simplify (+ 1 0) into 1 23.384 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 23.384 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 23.384 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 23.384 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 23.384 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.384 * [taylor]: Taking taylor expansion of k in k 23.384 * [backup-simplify]: Simplify 0 into 0 23.385 * [backup-simplify]: Simplify 1 into 1 23.385 * [backup-simplify]: Simplify (/ 1 1) into 1 23.385 * [backup-simplify]: Simplify (sqrt 0) into 0 23.387 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 23.387 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 23.387 * [taylor]: Taking taylor expansion of 0 in n 23.387 * [backup-simplify]: Simplify 0 into 0 23.387 * [backup-simplify]: Simplify 0 into 0 23.388 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 23.388 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 23.389 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 23.389 * [backup-simplify]: Simplify (- 1) into -1 23.390 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.391 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 23.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 23.392 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 23.392 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 23.392 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 23.392 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 23.392 * [taylor]: Taking taylor expansion of +nan.0 in n 23.392 * [backup-simplify]: Simplify +nan.0 into +nan.0 23.392 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 23.392 * [taylor]: Taking taylor expansion of (sqrt 2) in n 23.392 * [taylor]: Taking taylor expansion of 2 in n 23.392 * [backup-simplify]: Simplify 2 into 2 23.393 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 23.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 23.394 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 23.394 * [taylor]: Taking taylor expansion of (* n PI) in n 23.394 * [taylor]: Taking taylor expansion of n in n 23.394 * [backup-simplify]: Simplify 0 into 0 23.394 * [backup-simplify]: Simplify 1 into 1 23.394 * [taylor]: Taking taylor expansion of PI in n 23.394 * [backup-simplify]: Simplify PI into PI 23.394 * [backup-simplify]: Simplify (* 0 PI) into 0 23.396 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 23.396 * [backup-simplify]: Simplify (sqrt 0) into 0 23.398 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 23.398 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 23.399 * [backup-simplify]: Simplify (* +nan.0 0) into 0 23.399 * [backup-simplify]: Simplify (- 0) into 0 23.399 * [backup-simplify]: Simplify 0 into 0 23.399 * [backup-simplify]: Simplify 0 into 0 23.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.403 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 23.404 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 23.404 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 23.406 * [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 23.406 * [backup-simplify]: Simplify (- 0) into 0 23.407 * [backup-simplify]: Simplify (+ 0 0) into 0 23.407 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 23.408 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 23.408 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 23.409 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 23.409 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 23.409 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 23.409 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 23.409 * [taylor]: Taking taylor expansion of +nan.0 in n 23.409 * [backup-simplify]: Simplify +nan.0 into +nan.0 23.409 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 23.409 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 23.409 * [taylor]: Taking taylor expansion of (sqrt 2) in n 23.409 * [taylor]: Taking taylor expansion of 2 in n 23.409 * [backup-simplify]: Simplify 2 into 2 23.409 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 23.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 23.410 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 23.410 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 23.410 * [taylor]: Taking taylor expansion of 2 in n 23.410 * [backup-simplify]: Simplify 2 into 2 23.410 * [taylor]: Taking taylor expansion of (* n PI) in n 23.410 * [taylor]: Taking taylor expansion of n in n 23.410 * [backup-simplify]: Simplify 0 into 0 23.410 * [backup-simplify]: Simplify 1 into 1 23.410 * [taylor]: Taking taylor expansion of PI in n 23.410 * [backup-simplify]: Simplify PI into PI 23.410 * [backup-simplify]: Simplify (* 0 PI) into 0 23.410 * [backup-simplify]: Simplify (* 2 0) into 0 23.411 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 23.412 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 23.413 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.413 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 23.413 * [taylor]: Taking taylor expansion of (* n PI) in n 23.413 * [taylor]: Taking taylor expansion of n in n 23.413 * [backup-simplify]: Simplify 0 into 0 23.413 * [backup-simplify]: Simplify 1 into 1 23.413 * [taylor]: Taking taylor expansion of PI in n 23.413 * [backup-simplify]: Simplify PI into PI 23.413 * [backup-simplify]: Simplify (* 0 PI) into 0 23.414 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 23.414 * [backup-simplify]: Simplify (sqrt 0) into 0 23.415 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 23.415 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 23.415 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 23.415 * [taylor]: Taking taylor expansion of +nan.0 in n 23.415 * [backup-simplify]: Simplify +nan.0 into +nan.0 23.415 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 23.415 * [taylor]: Taking taylor expansion of (sqrt 2) in n 23.415 * [taylor]: Taking taylor expansion of 2 in n 23.415 * [backup-simplify]: Simplify 2 into 2 23.415 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 23.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 23.416 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 23.416 * [taylor]: Taking taylor expansion of (* n PI) in n 23.416 * [taylor]: Taking taylor expansion of n in n 23.416 * [backup-simplify]: Simplify 0 into 0 23.416 * [backup-simplify]: Simplify 1 into 1 23.416 * [taylor]: Taking taylor expansion of PI in n 23.416 * [backup-simplify]: Simplify PI into PI 23.416 * [backup-simplify]: Simplify (* 0 PI) into 0 23.417 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 23.417 * [backup-simplify]: Simplify (sqrt 0) into 0 23.418 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 23.419 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 23.419 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 23.420 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 23.421 * [backup-simplify]: Simplify (* +nan.0 0) into 0 23.421 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 23.421 * [backup-simplify]: Simplify (* +nan.0 0) into 0 23.421 * [backup-simplify]: Simplify (- 0) into 0 23.422 * [backup-simplify]: Simplify (+ 0 0) into 0 23.422 * [backup-simplify]: Simplify (- 0) into 0 23.422 * [backup-simplify]: Simplify 0 into 0 23.423 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 23.428 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 23.430 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 23.431 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 23.431 * [backup-simplify]: Simplify 0 into 0 23.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.434 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 23.435 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 23.436 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 23.439 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 23.439 * [backup-simplify]: Simplify (- 0) into 0 23.440 * [backup-simplify]: Simplify (+ 0 0) into 0 23.441 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 23.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 23.444 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 23.446 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) 23.446 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n 23.446 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n 23.446 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 23.446 * [taylor]: Taking taylor expansion of +nan.0 in n 23.446 * [backup-simplify]: Simplify +nan.0 into +nan.0 23.446 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 23.446 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 23.446 * [taylor]: Taking taylor expansion of (sqrt 2) in n 23.446 * [taylor]: Taking taylor expansion of 2 in n 23.446 * [backup-simplify]: Simplify 2 into 2 23.446 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 23.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 23.447 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 23.447 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 23.447 * [taylor]: Taking taylor expansion of 2 in n 23.447 * [backup-simplify]: Simplify 2 into 2 23.447 * [taylor]: Taking taylor expansion of (* n PI) in n 23.447 * [taylor]: Taking taylor expansion of n in n 23.447 * [backup-simplify]: Simplify 0 into 0 23.447 * [backup-simplify]: Simplify 1 into 1 23.447 * [taylor]: Taking taylor expansion of PI in n 23.447 * [backup-simplify]: Simplify PI into PI 23.448 * [backup-simplify]: Simplify (* 0 PI) into 0 23.448 * [backup-simplify]: Simplify (* 2 0) into 0 23.450 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 23.451 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 23.452 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.452 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 23.452 * [taylor]: Taking taylor expansion of (* n PI) in n 23.452 * [taylor]: Taking taylor expansion of n in n 23.452 * [backup-simplify]: Simplify 0 into 0 23.452 * [backup-simplify]: Simplify 1 into 1 23.452 * [taylor]: Taking taylor expansion of PI in n 23.452 * [backup-simplify]: Simplify PI into PI 23.453 * [backup-simplify]: Simplify (* 0 PI) into 0 23.454 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 23.454 * [backup-simplify]: Simplify (sqrt 0) into 0 23.456 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 23.456 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n 23.456 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n 23.456 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 23.456 * [taylor]: Taking taylor expansion of +nan.0 in n 23.456 * [backup-simplify]: Simplify +nan.0 into +nan.0 23.456 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 23.456 * [taylor]: Taking taylor expansion of (sqrt 2) in n 23.456 * [taylor]: Taking taylor expansion of 2 in n 23.456 * [backup-simplify]: Simplify 2 into 2 23.457 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 23.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 23.457 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 23.457 * [taylor]: Taking taylor expansion of (* n PI) in n 23.457 * [taylor]: Taking taylor expansion of n in n 23.457 * [backup-simplify]: Simplify 0 into 0 23.457 * [backup-simplify]: Simplify 1 into 1 23.458 * [taylor]: Taking taylor expansion of PI in n 23.458 * [backup-simplify]: Simplify PI into PI 23.458 * [backup-simplify]: Simplify (* 0 PI) into 0 23.459 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 23.460 * [backup-simplify]: Simplify (sqrt 0) into 0 23.461 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 23.461 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 23.461 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 23.461 * [taylor]: Taking taylor expansion of +nan.0 in n 23.461 * [backup-simplify]: Simplify +nan.0 into +nan.0 23.461 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 23.461 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 23.461 * [taylor]: Taking taylor expansion of (sqrt 2) in n 23.461 * [taylor]: Taking taylor expansion of 2 in n 23.461 * [backup-simplify]: Simplify 2 into 2 23.462 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 23.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 23.462 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 23.463 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 23.463 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 23.463 * [taylor]: Taking taylor expansion of 2 in n 23.463 * [backup-simplify]: Simplify 2 into 2 23.463 * [taylor]: Taking taylor expansion of (* n PI) in n 23.463 * [taylor]: Taking taylor expansion of n in n 23.463 * [backup-simplify]: Simplify 0 into 0 23.463 * [backup-simplify]: Simplify 1 into 1 23.463 * [taylor]: Taking taylor expansion of PI in n 23.463 * [backup-simplify]: Simplify PI into PI 23.463 * [backup-simplify]: Simplify (* 0 PI) into 0 23.464 * [backup-simplify]: Simplify (* 2 0) into 0 23.465 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 23.466 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 23.467 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.468 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 23.468 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 23.468 * [taylor]: Taking taylor expansion of (* n PI) in n 23.468 * [taylor]: Taking taylor expansion of n in n 23.468 * [backup-simplify]: Simplify 0 into 0 23.468 * [backup-simplify]: Simplify 1 into 1 23.468 * [taylor]: Taking taylor expansion of PI in n 23.468 * [backup-simplify]: Simplify PI into PI 23.468 * [backup-simplify]: Simplify (* 0 PI) into 0 23.469 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 23.469 * [backup-simplify]: Simplify (sqrt 0) into 0 23.470 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 23.471 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 23.472 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 23.472 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 23.473 * [backup-simplify]: Simplify (* +nan.0 0) into 0 23.473 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 23.473 * [backup-simplify]: Simplify (* +nan.0 0) into 0 23.474 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 23.475 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 23.476 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 23.477 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 23.478 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 23.478 * [backup-simplify]: Simplify (* +nan.0 0) into 0 23.479 * [backup-simplify]: Simplify (- 0) into 0 23.479 * [backup-simplify]: Simplify (+ 0 0) into 0 23.479 * [backup-simplify]: Simplify (- 0) into 0 23.479 * [backup-simplify]: Simplify (+ 0 0) into 0 23.479 * [backup-simplify]: Simplify (- 0) into 0 23.479 * [backup-simplify]: Simplify 0 into 0 23.480 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 23.481 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 23.482 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 23.483 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 23.483 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 23.485 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 23.489 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 23.491 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 23.493 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 23.496 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 23.505 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 23.513 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 23.520 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 23.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 23.525 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 23.526 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 23.531 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 23.541 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 23.546 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 23.549 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 23.563 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 23.564 * [backup-simplify]: Simplify (* (pow (/ 1 k) -1/2) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 23.564 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 23.564 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 23.564 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 23.564 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 23.564 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 23.564 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 23.564 * [taylor]: Taking taylor expansion of 1/2 in n 23.564 * [backup-simplify]: Simplify 1/2 into 1/2 23.564 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 23.564 * [taylor]: Taking taylor expansion of 1 in n 23.564 * [backup-simplify]: Simplify 1 into 1 23.564 * [taylor]: Taking taylor expansion of (/ 1 k) in n 23.564 * [taylor]: Taking taylor expansion of k in n 23.564 * [backup-simplify]: Simplify k into k 23.564 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 23.564 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 23.564 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 23.564 * [taylor]: Taking taylor expansion of 2 in n 23.564 * [backup-simplify]: Simplify 2 into 2 23.564 * [taylor]: Taking taylor expansion of (/ PI n) in n 23.564 * [taylor]: Taking taylor expansion of PI in n 23.565 * [backup-simplify]: Simplify PI into PI 23.565 * [taylor]: Taking taylor expansion of n in n 23.565 * [backup-simplify]: Simplify 0 into 0 23.565 * [backup-simplify]: Simplify 1 into 1 23.565 * [backup-simplify]: Simplify (/ PI 1) into PI 23.566 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.566 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.567 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 23.567 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 23.567 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 23.568 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 23.569 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 23.570 * [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))))) 23.570 * [taylor]: Taking taylor expansion of (sqrt k) in n 23.570 * [taylor]: Taking taylor expansion of k in n 23.570 * [backup-simplify]: Simplify k into k 23.570 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 23.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 23.571 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 23.571 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 23.571 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 23.571 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 23.571 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 23.571 * [taylor]: Taking taylor expansion of 1/2 in k 23.571 * [backup-simplify]: Simplify 1/2 into 1/2 23.571 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 23.571 * [taylor]: Taking taylor expansion of 1 in k 23.571 * [backup-simplify]: Simplify 1 into 1 23.571 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.571 * [taylor]: Taking taylor expansion of k in k 23.571 * [backup-simplify]: Simplify 0 into 0 23.571 * [backup-simplify]: Simplify 1 into 1 23.571 * [backup-simplify]: Simplify (/ 1 1) into 1 23.571 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 23.571 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 23.571 * [taylor]: Taking taylor expansion of 2 in k 23.571 * [backup-simplify]: Simplify 2 into 2 23.572 * [taylor]: Taking taylor expansion of (/ PI n) in k 23.572 * [taylor]: Taking taylor expansion of PI in k 23.572 * [backup-simplify]: Simplify PI into PI 23.572 * [taylor]: Taking taylor expansion of n in k 23.572 * [backup-simplify]: Simplify n into n 23.572 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 23.572 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 23.572 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 23.572 * [backup-simplify]: Simplify (- 1) into -1 23.573 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.573 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 23.573 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 23.573 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 23.573 * [taylor]: Taking taylor expansion of (sqrt k) in k 23.573 * [taylor]: Taking taylor expansion of k in k 23.574 * [backup-simplify]: Simplify 0 into 0 23.574 * [backup-simplify]: Simplify 1 into 1 23.574 * [backup-simplify]: Simplify (sqrt 0) into 0 23.575 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 23.575 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 23.575 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 23.575 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 23.575 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 23.575 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 23.575 * [taylor]: Taking taylor expansion of 1/2 in k 23.575 * [backup-simplify]: Simplify 1/2 into 1/2 23.575 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 23.575 * [taylor]: Taking taylor expansion of 1 in k 23.575 * [backup-simplify]: Simplify 1 into 1 23.575 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.575 * [taylor]: Taking taylor expansion of k in k 23.575 * [backup-simplify]: Simplify 0 into 0 23.575 * [backup-simplify]: Simplify 1 into 1 23.575 * [backup-simplify]: Simplify (/ 1 1) into 1 23.575 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 23.575 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 23.575 * [taylor]: Taking taylor expansion of 2 in k 23.575 * [backup-simplify]: Simplify 2 into 2 23.575 * [taylor]: Taking taylor expansion of (/ PI n) in k 23.575 * [taylor]: Taking taylor expansion of PI in k 23.575 * [backup-simplify]: Simplify PI into PI 23.575 * [taylor]: Taking taylor expansion of n in k 23.575 * [backup-simplify]: Simplify n into n 23.575 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 23.576 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 23.576 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 23.576 * [backup-simplify]: Simplify (- 1) into -1 23.576 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.576 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 23.576 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 23.577 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 23.577 * [taylor]: Taking taylor expansion of (sqrt k) in k 23.577 * [taylor]: Taking taylor expansion of k in k 23.577 * [backup-simplify]: Simplify 0 into 0 23.577 * [backup-simplify]: Simplify 1 into 1 23.577 * [backup-simplify]: Simplify (sqrt 0) into 0 23.578 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 23.578 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 23.578 * [taylor]: Taking taylor expansion of 0 in n 23.578 * [backup-simplify]: Simplify 0 into 0 23.578 * [backup-simplify]: Simplify 0 into 0 23.578 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 23.578 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 23.578 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 23.578 * [taylor]: Taking taylor expansion of +nan.0 in n 23.578 * [backup-simplify]: Simplify +nan.0 into +nan.0 23.578 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 23.578 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 23.578 * [taylor]: Taking taylor expansion of 1/2 in n 23.578 * [backup-simplify]: Simplify 1/2 into 1/2 23.578 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 23.578 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 23.578 * [taylor]: Taking taylor expansion of 1 in n 23.578 * [backup-simplify]: Simplify 1 into 1 23.579 * [taylor]: Taking taylor expansion of (/ 1 k) in n 23.579 * [taylor]: Taking taylor expansion of k in n 23.579 * [backup-simplify]: Simplify k into k 23.579 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 23.579 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 23.579 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 23.579 * [taylor]: Taking taylor expansion of 2 in n 23.579 * [backup-simplify]: Simplify 2 into 2 23.579 * [taylor]: Taking taylor expansion of (/ PI n) in n 23.579 * [taylor]: Taking taylor expansion of PI in n 23.579 * [backup-simplify]: Simplify PI into PI 23.579 * [taylor]: Taking taylor expansion of n in n 23.579 * [backup-simplify]: Simplify 0 into 0 23.579 * [backup-simplify]: Simplify 1 into 1 23.579 * [backup-simplify]: Simplify (/ PI 1) into PI 23.579 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.580 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.580 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 23.580 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 23.581 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 23.581 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 23.582 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 23.583 * [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))))) 23.584 * [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)))))) 23.584 * [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))))))) 23.585 * [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))))))) 23.585 * [backup-simplify]: Simplify 0 into 0 23.587 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 23.587 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 23.587 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 23.588 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 23.588 * [taylor]: Taking taylor expansion of +nan.0 in n 23.588 * [backup-simplify]: Simplify +nan.0 into +nan.0 23.588 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 23.588 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 23.588 * [taylor]: Taking taylor expansion of 1/2 in n 23.588 * [backup-simplify]: Simplify 1/2 into 1/2 23.588 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 23.588 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 23.588 * [taylor]: Taking taylor expansion of 1 in n 23.588 * [backup-simplify]: Simplify 1 into 1 23.588 * [taylor]: Taking taylor expansion of (/ 1 k) in n 23.588 * [taylor]: Taking taylor expansion of k in n 23.588 * [backup-simplify]: Simplify k into k 23.588 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 23.588 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 23.588 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 23.588 * [taylor]: Taking taylor expansion of 2 in n 23.588 * [backup-simplify]: Simplify 2 into 2 23.588 * [taylor]: Taking taylor expansion of (/ PI n) in n 23.588 * [taylor]: Taking taylor expansion of PI in n 23.588 * [backup-simplify]: Simplify PI into PI 23.588 * [taylor]: Taking taylor expansion of n in n 23.588 * [backup-simplify]: Simplify 0 into 0 23.588 * [backup-simplify]: Simplify 1 into 1 23.588 * [backup-simplify]: Simplify (/ PI 1) into PI 23.588 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.589 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.589 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 23.589 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 23.590 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 23.591 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 23.591 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 23.592 * [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))))) 23.593 * [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)))))) 23.593 * [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))))))) 23.594 * [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))))))) 23.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 23.595 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 23.596 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 23.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 23.596 * [backup-simplify]: Simplify (- 0) into 0 23.596 * [backup-simplify]: Simplify (+ 0 0) into 0 23.597 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 23.598 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 23.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 23.600 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 23.601 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 23.601 * [backup-simplify]: Simplify (- 0) into 0 23.601 * [backup-simplify]: Simplify 0 into 0 23.601 * [backup-simplify]: Simplify 0 into 0 23.604 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 23.605 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 23.605 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 23.605 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 23.606 * [taylor]: Taking taylor expansion of +nan.0 in n 23.606 * [backup-simplify]: Simplify +nan.0 into +nan.0 23.606 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 23.606 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 23.606 * [taylor]: Taking taylor expansion of 1/2 in n 23.606 * [backup-simplify]: Simplify 1/2 into 1/2 23.606 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 23.606 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 23.606 * [taylor]: Taking taylor expansion of 1 in n 23.606 * [backup-simplify]: Simplify 1 into 1 23.606 * [taylor]: Taking taylor expansion of (/ 1 k) in n 23.606 * [taylor]: Taking taylor expansion of k in n 23.606 * [backup-simplify]: Simplify k into k 23.606 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 23.606 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 23.606 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 23.606 * [taylor]: Taking taylor expansion of 2 in n 23.606 * [backup-simplify]: Simplify 2 into 2 23.606 * [taylor]: Taking taylor expansion of (/ PI n) in n 23.606 * [taylor]: Taking taylor expansion of PI in n 23.606 * [backup-simplify]: Simplify PI into PI 23.606 * [taylor]: Taking taylor expansion of n in n 23.606 * [backup-simplify]: Simplify 0 into 0 23.607 * [backup-simplify]: Simplify 1 into 1 23.607 * [backup-simplify]: Simplify (/ PI 1) into PI 23.607 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.608 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.608 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 23.609 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 23.610 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 23.611 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 23.612 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 23.613 * [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))))) 23.614 * [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)))))) 23.616 * [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))))))) 23.617 * [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))))))) 23.621 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) 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)))))))) 23.622 * [backup-simplify]: Simplify (* (pow (/ 1 (- k)) -1/2) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) 23.622 * [approximate]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (k n) around 0 23.622 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 23.622 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n 23.622 * [taylor]: Taking taylor expansion of (/ k -1) in n 23.622 * [taylor]: Taking taylor expansion of k in n 23.622 * [backup-simplify]: Simplify k into k 23.622 * [taylor]: Taking taylor expansion of -1 in n 23.622 * [backup-simplify]: Simplify -1 into -1 23.622 * [backup-simplify]: Simplify (/ k -1) into (* -1 k) 23.622 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k)) 23.623 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0 23.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0 23.623 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 23.623 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 23.623 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 23.623 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 23.623 * [taylor]: Taking taylor expansion of 1/2 in n 23.624 * [backup-simplify]: Simplify 1/2 into 1/2 23.624 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 23.624 * [taylor]: Taking taylor expansion of (/ 1 k) in n 23.624 * [taylor]: Taking taylor expansion of k in n 23.624 * [backup-simplify]: Simplify k into k 23.624 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 23.624 * [taylor]: Taking taylor expansion of 1 in n 23.624 * [backup-simplify]: Simplify 1 into 1 23.624 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 23.624 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 23.624 * [taylor]: Taking taylor expansion of -2 in n 23.624 * [backup-simplify]: Simplify -2 into -2 23.624 * [taylor]: Taking taylor expansion of (/ PI n) in n 23.624 * [taylor]: Taking taylor expansion of PI in n 23.624 * [backup-simplify]: Simplify PI into PI 23.624 * [taylor]: Taking taylor expansion of n in n 23.624 * [backup-simplify]: Simplify 0 into 0 23.624 * [backup-simplify]: Simplify 1 into 1 23.624 * [backup-simplify]: Simplify (/ PI 1) into PI 23.625 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 23.626 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 23.626 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 23.626 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 23.627 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 23.628 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 23.629 * [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))))) 23.629 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 23.630 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k 23.630 * [taylor]: Taking taylor expansion of (/ k -1) in k 23.630 * [taylor]: Taking taylor expansion of k in k 23.630 * [backup-simplify]: Simplify 0 into 0 23.630 * [backup-simplify]: Simplify 1 into 1 23.630 * [taylor]: Taking taylor expansion of -1 in k 23.630 * [backup-simplify]: Simplify -1 into -1 23.630 * [backup-simplify]: Simplify (/ 1 -1) into -1 23.631 * [backup-simplify]: Simplify (sqrt 0) into 0 23.632 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 23.632 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 23.632 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 23.632 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 23.632 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 23.632 * [taylor]: Taking taylor expansion of 1/2 in k 23.632 * [backup-simplify]: Simplify 1/2 into 1/2 23.632 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 23.632 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.632 * [taylor]: Taking taylor expansion of k in k 23.632 * [backup-simplify]: Simplify 0 into 0 23.632 * [backup-simplify]: Simplify 1 into 1 23.633 * [backup-simplify]: Simplify (/ 1 1) into 1 23.633 * [taylor]: Taking taylor expansion of 1 in k 23.633 * [backup-simplify]: Simplify 1 into 1 23.633 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 23.633 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 23.633 * [taylor]: Taking taylor expansion of -2 in k 23.633 * [backup-simplify]: Simplify -2 into -2 23.633 * [taylor]: Taking taylor expansion of (/ PI n) in k 23.633 * [taylor]: Taking taylor expansion of PI in k 23.633 * [backup-simplify]: Simplify PI into PI 23.633 * [taylor]: Taking taylor expansion of n in k 23.633 * [backup-simplify]: Simplify n into n 23.633 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 23.633 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 23.633 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 23.634 * [backup-simplify]: Simplify (+ 1 0) into 1 23.634 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 23.634 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 23.635 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 23.635 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 23.635 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k 23.635 * [taylor]: Taking taylor expansion of (/ k -1) in k 23.635 * [taylor]: Taking taylor expansion of k in k 23.635 * [backup-simplify]: Simplify 0 into 0 23.635 * [backup-simplify]: Simplify 1 into 1 23.635 * [taylor]: Taking taylor expansion of -1 in k 23.635 * [backup-simplify]: Simplify -1 into -1 23.635 * [backup-simplify]: Simplify (/ 1 -1) into -1 23.636 * [backup-simplify]: Simplify (sqrt 0) into 0 23.637 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 23.637 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 23.637 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 23.637 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 23.637 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 23.637 * [taylor]: Taking taylor expansion of 1/2 in k 23.637 * [backup-simplify]: Simplify 1/2 into 1/2 23.637 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 23.637 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.637 * [taylor]: Taking taylor expansion of k in k 23.637 * [backup-simplify]: Simplify 0 into 0 23.637 * [backup-simplify]: Simplify 1 into 1 23.638 * [backup-simplify]: Simplify (/ 1 1) into 1 23.638 * [taylor]: Taking taylor expansion of 1 in k 23.638 * [backup-simplify]: Simplify 1 into 1 23.638 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 23.638 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 23.638 * [taylor]: Taking taylor expansion of -2 in k 23.638 * [backup-simplify]: Simplify -2 into -2 23.638 * [taylor]: Taking taylor expansion of (/ PI n) in k 23.638 * [taylor]: Taking taylor expansion of PI in k 23.638 * [backup-simplify]: Simplify PI into PI 23.638 * [taylor]: Taking taylor expansion of n in k 23.638 * [backup-simplify]: Simplify n into n 23.638 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 23.638 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 23.638 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 23.639 * [backup-simplify]: Simplify (+ 1 0) into 1 23.639 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 23.639 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 23.639 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 23.640 * [backup-simplify]: Simplify (* 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into 0 23.640 * [taylor]: Taking taylor expansion of 0 in n 23.640 * [backup-simplify]: Simplify 0 into 0 23.640 * [backup-simplify]: Simplify 0 into 0 23.640 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 23.640 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 23.640 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 23.640 * [taylor]: Taking taylor expansion of +nan.0 in n 23.641 * [backup-simplify]: Simplify +nan.0 into +nan.0 23.641 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 23.641 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 23.641 * [taylor]: Taking taylor expansion of 1/2 in n 23.641 * [backup-simplify]: Simplify 1/2 into 1/2 23.641 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 23.641 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 23.641 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 23.641 * [taylor]: Taking taylor expansion of -2 in n 23.641 * [backup-simplify]: Simplify -2 into -2 23.641 * [taylor]: Taking taylor expansion of (/ PI n) in n 23.641 * [taylor]: Taking taylor expansion of PI in n 23.641 * [backup-simplify]: Simplify PI into PI 23.641 * [taylor]: Taking taylor expansion of n in n 23.641 * [backup-simplify]: Simplify 0 into 0 23.641 * [backup-simplify]: Simplify 1 into 1 23.641 * [backup-simplify]: Simplify (/ PI 1) into PI 23.642 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 23.643 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 23.643 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 23.643 * [taylor]: Taking taylor expansion of (/ 1 k) in n 23.643 * [taylor]: Taking taylor expansion of k in n 23.643 * [backup-simplify]: Simplify k into k 23.643 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 23.643 * [taylor]: Taking taylor expansion of 1 in n 23.643 * [backup-simplify]: Simplify 1 into 1 23.644 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 23.645 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 23.646 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 23.647 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 23.648 * [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))))) 23.649 * [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)))))) 23.650 * [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))))))) 23.651 * [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))))))) 23.651 * [backup-simplify]: Simplify 0 into 0 23.652 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) into 0 23.655 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 23.656 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 23.656 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 23.656 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 23.656 * [taylor]: Taking taylor expansion of +nan.0 in n 23.656 * [backup-simplify]: Simplify +nan.0 into +nan.0 23.656 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 23.656 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 23.656 * [taylor]: Taking taylor expansion of 1/2 in n 23.656 * [backup-simplify]: Simplify 1/2 into 1/2 23.656 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 23.656 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 23.656 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 23.656 * [taylor]: Taking taylor expansion of -2 in n 23.656 * [backup-simplify]: Simplify -2 into -2 23.656 * [taylor]: Taking taylor expansion of (/ PI n) in n 23.656 * [taylor]: Taking taylor expansion of PI in n 23.656 * [backup-simplify]: Simplify PI into PI 23.656 * [taylor]: Taking taylor expansion of n in n 23.657 * [backup-simplify]: Simplify 0 into 0 23.657 * [backup-simplify]: Simplify 1 into 1 23.657 * [backup-simplify]: Simplify (/ PI 1) into PI 23.657 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 23.658 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 23.658 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 23.658 * [taylor]: Taking taylor expansion of (/ 1 k) in n 23.659 * [taylor]: Taking taylor expansion of k in n 23.659 * [backup-simplify]: Simplify k into k 23.659 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 23.659 * [taylor]: Taking taylor expansion of 1 in n 23.659 * [backup-simplify]: Simplify 1 into 1 23.663 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 23.663 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 23.664 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 23.666 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 23.666 * [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))))) 23.667 * [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)))))) 23.668 * [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))))))) 23.669 * [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))))))) 23.669 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 23.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 23.670 * [backup-simplify]: Simplify (+ 0 0) into 0 23.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 23.671 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 23.672 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 23.672 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 23.673 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 23.674 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 23.675 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 23.675 * [backup-simplify]: Simplify (- 0) into 0 23.675 * [backup-simplify]: Simplify 0 into 0 23.675 * [backup-simplify]: Simplify 0 into 0 23.676 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 23.678 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 23.679 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 23.679 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 23.679 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 23.679 * [taylor]: Taking taylor expansion of +nan.0 in n 23.679 * [backup-simplify]: Simplify +nan.0 into +nan.0 23.679 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 23.679 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 23.679 * [taylor]: Taking taylor expansion of 1/2 in n 23.679 * [backup-simplify]: Simplify 1/2 into 1/2 23.679 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 23.679 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 23.679 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 23.679 * [taylor]: Taking taylor expansion of -2 in n 23.679 * [backup-simplify]: Simplify -2 into -2 23.679 * [taylor]: Taking taylor expansion of (/ PI n) in n 23.679 * [taylor]: Taking taylor expansion of PI in n 23.679 * [backup-simplify]: Simplify PI into PI 23.679 * [taylor]: Taking taylor expansion of n in n 23.679 * [backup-simplify]: Simplify 0 into 0 23.679 * [backup-simplify]: Simplify 1 into 1 23.680 * [backup-simplify]: Simplify (/ PI 1) into PI 23.680 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 23.681 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 23.681 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 23.681 * [taylor]: Taking taylor expansion of (/ 1 k) in n 23.681 * [taylor]: Taking taylor expansion of k in n 23.681 * [backup-simplify]: Simplify k into k 23.681 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 23.681 * [taylor]: Taking taylor expansion of 1 in n 23.681 * [backup-simplify]: Simplify 1 into 1 23.682 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 23.682 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 23.682 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 23.683 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 23.684 * [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))))) 23.684 * [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)))))) 23.685 * [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))))))) 23.686 * [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))))))) 23.688 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))))))) 23.688 * * * [progress]: simplifying candidates 23.688 * * * * [progress]: [ 1 / 118 ] simplifiying candidate # 23.688 * * * * [progress]: [ 2 / 118 ] simplifiying candidate # 23.688 * * * * [progress]: [ 3 / 118 ] simplifiying candidate # 23.689 * [simplify]: Simplifying (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)) 23.689 * * [simplify]: iters left: 6 (13 enodes) 23.693 * * [simplify]: iters left: 5 (54 enodes) 23.709 * * [simplify]: iters left: 4 (97 enodes) 23.751 * * [simplify]: iters left: 3 (254 enodes) 23.874 * * [simplify]: Extracting #0: cost 1 inf + 0 23.875 * * [simplify]: Extracting #1: cost 34 inf + 0 23.875 * * [simplify]: Extracting #2: cost 101 inf + 73 23.877 * * [simplify]: Extracting #3: cost 129 inf + 1240 23.886 * * [simplify]: Extracting #4: cost 60 inf + 15084 23.899 * * [simplify]: Extracting #5: cost 5 inf + 32052 23.913 * * [simplify]: Extracting #6: cost 0 inf + 33789 23.925 * [simplify]: Simplified to (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) 23.925 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (exp (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)))) 23.925 * * * * [progress]: [ 4 / 118 ] simplifiying candidate # 23.925 * [simplify]: Simplifying (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) 23.925 * * [simplify]: iters left: 6 (12 enodes) 23.929 * * [simplify]: iters left: 5 (52 enodes) 23.938 * * [simplify]: iters left: 4 (90 enodes) 23.961 * * [simplify]: iters left: 3 (207 enodes) 24.043 * * [simplify]: Extracting #0: cost 1 inf + 0 24.044 * * [simplify]: Extracting #1: cost 29 inf + 0 24.044 * * [simplify]: Extracting #2: cost 88 inf + 73 24.044 * * [simplify]: Extracting #3: cost 116 inf + 695 24.046 * * [simplify]: Extracting #4: cost 70 inf + 7498 24.050 * * [simplify]: Extracting #5: cost 27 inf + 17445 24.055 * * [simplify]: Extracting #6: cost 1 inf + 25793 24.064 * * [simplify]: Extracting #7: cost 0 inf + 26056 24.075 * [simplify]: Simplified to (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2) 24.075 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (exp (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2)))) 24.075 * * * * [progress]: [ 5 / 118 ] simplifiying candidate # 24.075 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 24.076 * * [simplify]: iters left: 6 (11 enodes) 24.082 * * [simplify]: iters left: 5 (51 enodes) 24.103 * * [simplify]: iters left: 4 (97 enodes) 24.139 * * [simplify]: iters left: 3 (202 enodes) 24.243 * * [simplify]: Extracting #0: cost 1 inf + 0 24.243 * * [simplify]: Extracting #1: cost 31 inf + 0 24.243 * * [simplify]: Extracting #2: cost 93 inf + 2 24.243 * * [simplify]: Extracting #3: cost 128 inf + 201 24.244 * * [simplify]: Extracting #4: cost 93 inf + 4096 24.247 * * [simplify]: Extracting #5: cost 18 inf + 20213 24.252 * * [simplify]: Extracting #6: cost 0 inf + 24488 24.258 * * [simplify]: Extracting #7: cost 0 inf + 24378 24.263 * [simplify]: Simplified to (/ (- (log (* (* n 2) PI)) (* k (log (* (* n 2) PI)))) 2) 24.263 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (exp (/ (- (log (* (* n 2) PI)) (* k (log (* (* n 2) PI)))) 2)))) 24.264 * * * * [progress]: [ 6 / 118 ] simplifiying candidate # 24.264 * * * * [progress]: [ 7 / 118 ] simplifiying candidate # 24.264 * [simplify]: Simplifying (* (* 2 PI) n) 24.264 * * [simplify]: iters left: 4 (5 enodes) 24.266 * * [simplify]: iters left: 3 (19 enodes) 24.269 * * [simplify]: iters left: 2 (27 enodes) 24.274 * * [simplify]: iters left: 1 (32 enodes) 24.281 * * [simplify]: Extracting #0: cost 1 inf + 0 24.282 * * [simplify]: Extracting #1: cost 8 inf + 0 24.282 * * [simplify]: Extracting #2: cost 7 inf + 45 24.282 * * [simplify]: Extracting #3: cost 0 inf + 421 24.282 * [simplify]: Simplified to (* (* 2 PI) n) 24.282 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 24.282 * * * * [progress]: [ 8 / 118 ] simplifiying candidate # 24.283 * [simplify]: Simplifying (* (* 2 PI) n) 24.283 * * [simplify]: iters left: 4 (5 enodes) 24.286 * * [simplify]: iters left: 3 (19 enodes) 24.292 * * [simplify]: iters left: 2 (27 enodes) 24.301 * * [simplify]: iters left: 1 (32 enodes) 24.309 * * [simplify]: Extracting #0: cost 1 inf + 0 24.309 * * [simplify]: Extracting #1: cost 8 inf + 0 24.309 * * [simplify]: Extracting #2: cost 7 inf + 45 24.310 * * [simplify]: Extracting #3: cost 0 inf + 421 24.310 * [simplify]: Simplified to (* (* 2 PI) n) 24.310 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 24.310 * * * * [progress]: [ 9 / 118 ] simplifiying candidate # 24.310 * [simplify]: Simplifying (* (* 2 PI) n) 24.310 * * [simplify]: iters left: 4 (5 enodes) 24.312 * * [simplify]: iters left: 3 (19 enodes) 24.315 * * [simplify]: iters left: 2 (27 enodes) 24.319 * * [simplify]: iters left: 1 (32 enodes) 24.323 * * [simplify]: Extracting #0: cost 1 inf + 0 24.323 * * [simplify]: Extracting #1: cost 8 inf + 0 24.323 * * [simplify]: Extracting #2: cost 7 inf + 45 24.324 * * [simplify]: Extracting #3: cost 0 inf + 421 24.324 * [simplify]: Simplified to (* (* 2 PI) n) 24.324 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 24.324 * * * * [progress]: [ 10 / 118 ] simplifiying candidate # 24.324 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 24.324 * * [simplify]: iters left: 5 (8 enodes) 24.326 * * [simplify]: iters left: 4 (31 enodes) 24.333 * * [simplify]: iters left: 3 (51 enodes) 24.342 * * [simplify]: iters left: 2 (85 enodes) 24.371 * * [simplify]: iters left: 1 (152 enodes) 24.430 * * [simplify]: Extracting #0: cost 1 inf + 0 24.430 * * [simplify]: Extracting #1: cost 13 inf + 0 24.430 * * [simplify]: Extracting #2: cost 60 inf + 1 24.431 * * [simplify]: Extracting #3: cost 76 inf + 51 24.432 * * [simplify]: Extracting #4: cost 44 inf + 2846 24.434 * * [simplify]: Extracting #5: cost 21 inf + 7590 24.439 * * [simplify]: Extracting #6: cost 1 inf + 20687 24.445 * * [simplify]: Extracting #7: cost 0 inf + 20539 24.450 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 24.450 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) 24.451 * * * * [progress]: [ 11 / 118 ] simplifiying candidate # 24.451 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 24.451 * * [simplify]: iters left: 5 (6 enodes) 24.455 * * [simplify]: iters left: 4 (26 enodes) 24.463 * * [simplify]: iters left: 3 (35 enodes) 24.471 * * [simplify]: Extracting #0: cost 1 inf + 0 24.471 * * [simplify]: Extracting #1: cost 3 inf + 0 24.471 * * [simplify]: Extracting #2: cost 8 inf + 0 24.471 * * [simplify]: Extracting #3: cost 11 inf + 2 24.471 * * [simplify]: Extracting #4: cost 8 inf + 87 24.471 * * [simplify]: Extracting #5: cost 2 inf + 500 24.471 * * [simplify]: Extracting #6: cost 0 inf + 746 24.471 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 24.471 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) 24.472 * * * * [progress]: [ 12 / 118 ] simplifiying candidate # 24.472 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 24.472 * * [simplify]: iters left: 5 (6 enodes) 24.474 * * [simplify]: iters left: 4 (26 enodes) 24.479 * * [simplify]: iters left: 3 (35 enodes) 24.484 * * [simplify]: Extracting #0: cost 1 inf + 0 24.484 * * [simplify]: Extracting #1: cost 3 inf + 0 24.484 * * [simplify]: Extracting #2: cost 8 inf + 0 24.484 * * [simplify]: Extracting #3: cost 11 inf + 2 24.484 * * [simplify]: Extracting #4: cost 8 inf + 87 24.484 * * [simplify]: Extracting #5: cost 2 inf + 460 24.484 * * [simplify]: Extracting #6: cost 0 inf + 666 24.485 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 24.485 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) 24.485 * * * * [progress]: [ 13 / 118 ] simplifiying candidate # 24.485 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 24.485 * * [simplify]: iters left: 5 (7 enodes) 24.487 * * [simplify]: iters left: 4 (25 enodes) 24.492 * * [simplify]: iters left: 3 (30 enodes) 24.499 * * [simplify]: Extracting #0: cost 1 inf + 0 24.499 * * [simplify]: Extracting #1: cost 4 inf + 0 24.499 * * [simplify]: Extracting #2: cost 8 inf + 0 24.500 * * [simplify]: Extracting #3: cost 10 inf + 82 24.500 * * [simplify]: Extracting #4: cost 7 inf + 206 24.500 * * [simplify]: Extracting #5: cost 2 inf + 575 24.500 * * [simplify]: Extracting #6: cost 1 inf + 818 24.501 * * [simplify]: Extracting #7: cost 0 inf + 1061 24.501 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 24.501 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))) 24.501 * * * * [progress]: [ 14 / 118 ] simplifiying candidate # 24.502 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 24.502 * * [simplify]: iters left: 5 (7 enodes) 24.506 * * [simplify]: iters left: 4 (25 enodes) 24.513 * * [simplify]: iters left: 3 (30 enodes) 24.518 * * [simplify]: Extracting #0: cost 1 inf + 0 24.518 * * [simplify]: Extracting #1: cost 4 inf + 0 24.518 * * [simplify]: Extracting #2: cost 8 inf + 0 24.518 * * [simplify]: Extracting #3: cost 10 inf + 42 24.518 * * [simplify]: Extracting #4: cost 7 inf + 126 24.518 * * [simplify]: Extracting #5: cost 2 inf + 495 24.518 * * [simplify]: Extracting #6: cost 1 inf + 698 24.518 * * [simplify]: Extracting #7: cost 0 inf + 901 24.519 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 24.519 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))) 24.519 * * * * [progress]: [ 15 / 118 ] simplifiying candidate # 24.519 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 24.519 * * [simplify]: iters left: 5 (6 enodes) 24.521 * * [simplify]: iters left: 4 (22 enodes) 24.525 * * [simplify]: iters left: 3 (27 enodes) 24.529 * * [simplify]: Extracting #0: cost 1 inf + 0 24.529 * * [simplify]: Extracting #1: cost 4 inf + 0 24.529 * * [simplify]: Extracting #2: cost 5 inf + 1 24.529 * * [simplify]: Extracting #3: cost 9 inf + 1 24.529 * * [simplify]: Extracting #4: cost 8 inf + 3 24.529 * * [simplify]: Extracting #5: cost 4 inf + 169 24.530 * * [simplify]: Extracting #6: cost 1 inf + 576 24.530 * * [simplify]: Extracting #7: cost 0 inf + 739 24.530 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 24.530 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))) 24.530 * * * * [progress]: [ 16 / 118 ] simplifiying candidate # 24.530 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 24.530 * * [simplify]: iters left: 5 (7 enodes) 24.532 * * [simplify]: iters left: 4 (25 enodes) 24.537 * * [simplify]: iters left: 3 (30 enodes) 24.542 * * [simplify]: Extracting #0: cost 1 inf + 0 24.542 * * [simplify]: Extracting #1: cost 4 inf + 0 24.542 * * [simplify]: Extracting #2: cost 8 inf + 0 24.542 * * [simplify]: Extracting #3: cost 10 inf + 82 24.543 * * [simplify]: Extracting #4: cost 7 inf + 206 24.543 * * [simplify]: Extracting #5: cost 2 inf + 495 24.543 * * [simplify]: Extracting #6: cost 1 inf + 698 24.543 * * [simplify]: Extracting #7: cost 0 inf + 901 24.544 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 24.544 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))) 24.544 * * * * [progress]: [ 17 / 118 ] simplifiying candidate # 24.544 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 24.544 * * [simplify]: iters left: 5 (7 enodes) 24.549 * * [simplify]: iters left: 4 (25 enodes) 24.556 * * [simplify]: iters left: 3 (30 enodes) 24.561 * * [simplify]: Extracting #0: cost 1 inf + 0 24.561 * * [simplify]: Extracting #1: cost 4 inf + 0 24.561 * * [simplify]: Extracting #2: cost 8 inf + 0 24.561 * * [simplify]: Extracting #3: cost 10 inf + 42 24.561 * * [simplify]: Extracting #4: cost 7 inf + 126 24.561 * * [simplify]: Extracting #5: cost 2 inf + 415 24.561 * * [simplify]: Extracting #6: cost 1 inf + 578 24.561 * * [simplify]: Extracting #7: cost 0 inf + 741 24.562 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 24.562 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))) 24.562 * * * * [progress]: [ 18 / 118 ] simplifiying candidate # 24.562 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 24.562 * * [simplify]: iters left: 5 (6 enodes) 24.565 * * [simplify]: iters left: 4 (22 enodes) 24.569 * * [simplify]: iters left: 3 (27 enodes) 24.574 * * [simplify]: Extracting #0: cost 1 inf + 0 24.574 * * [simplify]: Extracting #1: cost 4 inf + 0 24.574 * * [simplify]: Extracting #2: cost 5 inf + 1 24.574 * * [simplify]: Extracting #3: cost 9 inf + 1 24.574 * * [simplify]: Extracting #4: cost 8 inf + 3 24.574 * * [simplify]: Extracting #5: cost 4 inf + 169 24.574 * * [simplify]: Extracting #6: cost 1 inf + 456 24.575 * * [simplify]: Extracting #7: cost 0 inf + 579 24.575 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 24.575 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))) 24.575 * * * * [progress]: [ 19 / 118 ] simplifiying candidate # 24.575 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 24.575 * * [simplify]: iters left: 4 (6 enodes) 24.577 * * [simplify]: iters left: 3 (25 enodes) 24.582 * * [simplify]: iters left: 2 (36 enodes) 24.589 * * [simplify]: iters left: 1 (40 enodes) 24.601 * * [simplify]: Extracting #0: cost 1 inf + 0 24.601 * * [simplify]: Extracting #1: cost 7 inf + 0 24.601 * * [simplify]: Extracting #2: cost 16 inf + 0 24.601 * * [simplify]: Extracting #3: cost 13 inf + 44 24.601 * * [simplify]: Extracting #4: cost 3 inf + 1103 24.602 * * [simplify]: Extracting #5: cost 0 inf + 1469 24.602 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 24.602 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 24.602 * * * * [progress]: [ 20 / 118 ] simplifiying candidate # 24.603 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 24.603 * * [simplify]: iters left: 4 (6 enodes) 24.607 * * [simplify]: iters left: 3 (25 enodes) 24.616 * * [simplify]: iters left: 2 (36 enodes) 24.628 * * [simplify]: iters left: 1 (40 enodes) 24.640 * * [simplify]: Extracting #0: cost 1 inf + 0 24.640 * * [simplify]: Extracting #1: cost 7 inf + 0 24.640 * * [simplify]: Extracting #2: cost 16 inf + 0 24.640 * * [simplify]: Extracting #3: cost 13 inf + 44 24.640 * * [simplify]: Extracting #4: cost 3 inf + 823 24.641 * * [simplify]: Extracting #5: cost 0 inf + 1069 24.641 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 24.642 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 24.642 * * * * [progress]: [ 21 / 118 ] simplifiying candidate # 24.642 * [simplify]: Simplifying (/ (- 1 k) 2) 24.642 * * [simplify]: iters left: 4 (5 enodes) 24.646 * * [simplify]: iters left: 3 (23 enodes) 24.654 * * [simplify]: iters left: 2 (32 enodes) 24.663 * * [simplify]: Extracting #0: cost 1 inf + 0 24.664 * * [simplify]: Extracting #1: cost 6 inf + 0 24.664 * * [simplify]: Extracting #2: cost 9 inf + 2 24.664 * * [simplify]: Extracting #3: cost 6 inf + 87 24.664 * * [simplify]: Extracting #4: cost 0 inf + 420 24.664 * [simplify]: Simplified to (/ (- 1 k) 2) 24.664 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 24.664 * * * * [progress]: [ 22 / 118 ] simplifiying candidate # 24.665 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 24.665 * * [simplify]: iters left: 5 (8 enodes) 24.670 * * [simplify]: iters left: 4 (31 enodes) 24.680 * * [simplify]: iters left: 3 (45 enodes) 24.693 * * [simplify]: iters left: 2 (51 enodes) 24.705 * * [simplify]: iters left: 1 (52 enodes) 24.712 * * [simplify]: Extracting #0: cost 1 inf + 0 24.713 * * [simplify]: Extracting #1: cost 8 inf + 0 24.713 * * [simplify]: Extracting #2: cost 18 inf + 0 24.713 * * [simplify]: Extracting #3: cost 19 inf + 2 24.713 * * [simplify]: Extracting #4: cost 9 inf + 977 24.713 * * [simplify]: Extracting #5: cost 2 inf + 1790 24.713 * * [simplify]: Extracting #6: cost 0 inf + 2195 24.714 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 24.714 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 24.714 * * * * [progress]: [ 23 / 118 ] simplifiying candidate # 24.714 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 24.714 * * [simplify]: iters left: 5 (8 enodes) 24.717 * * [simplify]: iters left: 4 (31 enodes) 24.726 * * [simplify]: iters left: 3 (45 enodes) 24.738 * * [simplify]: iters left: 2 (51 enodes) 24.752 * * [simplify]: iters left: 1 (52 enodes) 24.759 * * [simplify]: Extracting #0: cost 1 inf + 0 24.759 * * [simplify]: Extracting #1: cost 8 inf + 0 24.759 * * [simplify]: Extracting #2: cost 18 inf + 0 24.759 * * [simplify]: Extracting #3: cost 19 inf + 2 24.759 * * [simplify]: Extracting #4: cost 9 inf + 697 24.759 * * [simplify]: Extracting #5: cost 2 inf + 1390 24.760 * * [simplify]: Extracting #6: cost 0 inf + 1715 24.760 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 24.760 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 24.760 * * * * [progress]: [ 24 / 118 ] simplifiying candidate # 24.760 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 24.760 * * [simplify]: iters left: 5 (7 enodes) 24.763 * * [simplify]: iters left: 4 (29 enodes) 24.768 * * [simplify]: iters left: 3 (43 enodes) 24.774 * * [simplify]: iters left: 2 (47 enodes) 24.782 * * [simplify]: Extracting #0: cost 1 inf + 0 24.782 * * [simplify]: Extracting #1: cost 7 inf + 0 24.782 * * [simplify]: Extracting #2: cost 11 inf + 2 24.782 * * [simplify]: Extracting #3: cost 13 inf + 3 24.782 * * [simplify]: Extracting #4: cost 11 inf + 45 24.783 * * [simplify]: Extracting #5: cost 0 inf + 1066 24.783 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 24.783 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 24.783 * * * * [progress]: [ 25 / 118 ] simplifiying candidate # 24.784 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 24.784 * * [simplify]: iters left: 5 (7 enodes) 24.788 * * [simplify]: iters left: 4 (28 enodes) 24.798 * * [simplify]: iters left: 3 (39 enodes) 24.804 * * [simplify]: iters left: 2 (43 enodes) 24.813 * * [simplify]: Extracting #0: cost 1 inf + 0 24.813 * * [simplify]: Extracting #1: cost 7 inf + 0 24.813 * * [simplify]: Extracting #2: cost 16 inf + 0 24.813 * * [simplify]: Extracting #3: cost 15 inf + 164 24.813 * * [simplify]: Extracting #4: cost 13 inf + 287 24.813 * * [simplify]: Extracting #5: cost 5 inf + 1180 24.814 * * [simplify]: Extracting #6: cost 0 inf + 1951 24.814 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 24.814 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 24.814 * * * * [progress]: [ 26 / 118 ] simplifiying candidate # 24.814 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 24.814 * * [simplify]: iters left: 5 (7 enodes) 24.817 * * [simplify]: iters left: 4 (28 enodes) 24.822 * * [simplify]: iters left: 3 (39 enodes) 24.829 * * [simplify]: iters left: 2 (43 enodes) 24.842 * * [simplify]: Extracting #0: cost 1 inf + 0 24.842 * * [simplify]: Extracting #1: cost 7 inf + 0 24.842 * * [simplify]: Extracting #2: cost 16 inf + 0 24.842 * * [simplify]: Extracting #3: cost 15 inf + 84 24.842 * * [simplify]: Extracting #4: cost 13 inf + 167 24.842 * * [simplify]: Extracting #5: cost 5 inf + 900 24.843 * * [simplify]: Extracting #6: cost 0 inf + 1551 24.843 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 24.843 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 24.843 * * * * [progress]: [ 27 / 118 ] simplifiying candidate # 24.843 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 24.843 * * [simplify]: iters left: 5 (6 enodes) 24.845 * * [simplify]: iters left: 4 (26 enodes) 24.850 * * [simplify]: iters left: 3 (35 enodes) 24.855 * * [simplify]: Extracting #0: cost 1 inf + 0 24.855 * * [simplify]: Extracting #1: cost 6 inf + 0 24.855 * * [simplify]: Extracting #2: cost 9 inf + 2 24.855 * * [simplify]: Extracting #3: cost 11 inf + 3 24.856 * * [simplify]: Extracting #4: cost 10 inf + 4 24.856 * * [simplify]: Extracting #5: cost 3 inf + 535 24.856 * * [simplify]: Extracting #6: cost 0 inf + 822 24.856 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 24.856 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 24.856 * * * * [progress]: [ 28 / 118 ] simplifiying candidate # 24.856 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 24.856 * * [simplify]: iters left: 4 (6 enodes) 24.858 * * [simplify]: iters left: 3 (25 enodes) 24.863 * * [simplify]: iters left: 2 (36 enodes) 24.869 * * [simplify]: iters left: 1 (40 enodes) 24.880 * * [simplify]: Extracting #0: cost 1 inf + 0 24.880 * * [simplify]: Extracting #1: cost 7 inf + 0 24.880 * * [simplify]: Extracting #2: cost 16 inf + 0 24.880 * * [simplify]: Extracting #3: cost 13 inf + 44 24.880 * * [simplify]: Extracting #4: cost 3 inf + 1103 24.881 * * [simplify]: Extracting #5: cost 0 inf + 1469 24.881 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 24.881 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 24.881 * * * * [progress]: [ 29 / 118 ] simplifiying candidate # 24.882 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 24.882 * * [simplify]: iters left: 4 (6 enodes) 24.886 * * [simplify]: iters left: 3 (25 enodes) 24.891 * * [simplify]: iters left: 2 (36 enodes) 24.897 * * [simplify]: iters left: 1 (40 enodes) 24.903 * * [simplify]: Extracting #0: cost 1 inf + 0 24.903 * * [simplify]: Extracting #1: cost 7 inf + 0 24.903 * * [simplify]: Extracting #2: cost 16 inf + 0 24.903 * * [simplify]: Extracting #3: cost 13 inf + 44 24.903 * * [simplify]: Extracting #4: cost 3 inf + 823 24.904 * * [simplify]: Extracting #5: cost 0 inf + 1069 24.904 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 24.904 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 24.904 * * * * [progress]: [ 30 / 118 ] simplifiying candidate # 24.904 * [simplify]: Simplifying (/ (- 1 k) 2) 24.904 * * [simplify]: iters left: 4 (5 enodes) 24.908 * * [simplify]: iters left: 3 (23 enodes) 24.913 * * [simplify]: iters left: 2 (32 enodes) 24.921 * * [simplify]: Extracting #0: cost 1 inf + 0 24.921 * * [simplify]: Extracting #1: cost 6 inf + 0 24.921 * * [simplify]: Extracting #2: cost 9 inf + 2 24.921 * * [simplify]: Extracting #3: cost 6 inf + 87 24.921 * * [simplify]: Extracting #4: cost 0 inf + 420 24.922 * [simplify]: Simplified to (/ (- 1 k) 2) 24.922 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 24.922 * * * * [progress]: [ 31 / 118 ] simplifiying candidate # 24.922 * [simplify]: Simplifying (/ (- 1 k) 2) 24.922 * * [simplify]: iters left: 4 (5 enodes) 24.926 * * [simplify]: iters left: 3 (23 enodes) 24.934 * * [simplify]: iters left: 2 (32 enodes) 24.943 * * [simplify]: Extracting #0: cost 1 inf + 0 24.943 * * [simplify]: Extracting #1: cost 6 inf + 0 24.943 * * [simplify]: Extracting #2: cost 9 inf + 2 24.943 * * [simplify]: Extracting #3: cost 6 inf + 87 24.944 * * [simplify]: Extracting #4: cost 0 inf + 420 24.944 * [simplify]: Simplified to (/ (- 1 k) 2) 24.944 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 24.944 * * * * [progress]: [ 32 / 118 ] simplifiying candidate # 24.944 * [simplify]: Simplifying (/ 1 2) 24.944 * * [simplify]: iters left: 2 (3 enodes) 24.947 * * [simplify]: iters left: 1 (12 enodes) 24.952 * * [simplify]: Extracting #0: cost 1 inf + 0 24.952 * * [simplify]: Extracting #1: cost 0 inf + 1 24.952 * [simplify]: Simplified to 1/2 24.952 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2))) 24.952 * * * * [progress]: [ 33 / 118 ] simplifiying candidate # 24.953 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 24.953 * * [simplify]: iters left: 5 (8 enodes) 24.957 * * [simplify]: iters left: 4 (36 enodes) 24.970 * * [simplify]: iters left: 3 (57 enodes) 24.984 * * [simplify]: iters left: 2 (90 enodes) 25.003 * * [simplify]: iters left: 1 (176 enodes) 25.073 * * [simplify]: Extracting #0: cost 1 inf + 0 25.073 * * [simplify]: Extracting #1: cost 13 inf + 0 25.074 * * [simplify]: Extracting #2: cost 55 inf + 1 25.074 * * [simplify]: Extracting #3: cost 86 inf + 6 25.075 * * [simplify]: Extracting #4: cost 73 inf + 1511 25.078 * * [simplify]: Extracting #5: cost 26 inf + 9176 25.084 * * [simplify]: Extracting #6: cost 2 inf + 22574 25.090 * * [simplify]: Extracting #7: cost 0 inf + 23644 25.097 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 25.097 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) 25.098 * * * * [progress]: [ 34 / 118 ] simplifiying candidate # 25.098 * * * * [progress]: [ 35 / 118 ] simplifiying candidate # 25.098 * * * * [progress]: [ 36 / 118 ] simplifiying candidate # 25.098 * * * * [progress]: [ 37 / 118 ] simplifiying candidate # 25.098 * * * * [progress]: [ 38 / 118 ] simplifiying candidate # 25.098 * * * * [progress]: [ 39 / 118 ] simplifiying candidate # 25.098 * * * * [progress]: [ 40 / 118 ] simplifiying candidate # 25.098 * * * * [progress]: [ 41 / 118 ] simplifiying candidate # 25.098 * * * * [progress]: [ 42 / 118 ] simplifiying candidate #real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 25.098 * * * * [progress]: [ 43 / 118 ] simplifiying candidate # 25.098 * * * * [progress]: [ 44 / 118 ] simplifiying candidate # 25.098 * * * * [progress]: [ 45 / 118 ] simplifiying candidate # 25.099 * [simplify]: Simplifying (* (* 2 PI) n) 25.099 * * [simplify]: iters left: 4 (5 enodes) 25.102 * * [simplify]: iters left: 3 (19 enodes) 25.107 * * [simplify]: iters left: 2 (27 enodes) 25.111 * * [simplify]: iters left: 1 (32 enodes) 25.116 * * [simplify]: Extracting #0: cost 1 inf + 0 25.116 * * [simplify]: Extracting #1: cost 8 inf + 0 25.116 * * [simplify]: Extracting #2: cost 7 inf + 45 25.116 * * [simplify]: Extracting #3: cost 0 inf + 421 25.116 * [simplify]: Simplified to (* (* 2 PI) n) 25.116 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 25.116 * * * * [progress]: [ 46 / 118 ] simplifiying candidate # 25.116 * [simplify]: Simplifying (* (* 2 PI) n) 25.116 * * [simplify]: iters left: 4 (5 enodes) 25.118 * * [simplify]: iters left: 3 (19 enodes) 25.121 * * [simplify]: iters left: 2 (27 enodes) 25.125 * * [simplify]: iters left: 1 (32 enodes) 25.129 * * [simplify]: Extracting #0: cost 1 inf + 0 25.129 * * [simplify]: Extracting #1: cost 8 inf + 0 25.129 * * [simplify]: Extracting #2: cost 7 inf + 45 25.130 * * [simplify]: Extracting #3: cost 0 inf + 421 25.130 * [simplify]: Simplified to (* (* 2 PI) n) 25.130 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 25.130 * * * * [progress]: [ 47 / 118 ] simplifiying candidate # 25.130 * * * * [progress]: [ 48 / 118 ] simplifiying candidate # 25.130 * [simplify]: Simplifying (+ (+ (log 2) (log PI)) (log n)) 25.130 * * [simplify]: iters left: 5 (8 enodes) 25.133 * * [simplify]: iters left: 4 (28 enodes) 25.140 * * [simplify]: iters left: 3 (36 enodes) 25.150 * * [simplify]: iters left: 2 (42 enodes) 25.158 * * [simplify]: Extracting #0: cost 1 inf + 0 25.158 * * [simplify]: Extracting #1: cost 8 inf + 0 25.158 * * [simplify]: Extracting #2: cost 17 inf + 0 25.158 * * [simplify]: Extracting #3: cost 13 inf + 74 25.158 * * [simplify]: Extracting #4: cost 6 inf + 1015 25.159 * * [simplify]: Extracting #5: cost 0 inf + 2107 25.159 * [simplify]: Simplified to (+ (log 2) (+ (log PI) (log n))) 25.159 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (exp (+ (log 2) (+ (log PI) (log n)))) (/ (- 1 k) 2)))) 25.159 * * * * [progress]: [ 49 / 118 ] simplifiying candidate # 25.159 * [simplify]: Simplifying (+ (log (* 2 PI)) (log n)) 25.159 * * [simplify]: iters left: 5 (7 enodes) 25.161 * * [simplify]: iters left: 4 (26 enodes) 25.166 * * [simplify]: iters left: 3 (35 enodes) 25.172 * * [simplify]: iters left: 2 (44 enodes) 25.178 * * [simplify]: Extracting #0: cost 1 inf + 0 25.178 * * [simplify]: Extracting #1: cost 8 inf + 0 25.178 * * [simplify]: Extracting #2: cost 18 inf + 0 25.178 * * [simplify]: Extracting #3: cost 15 inf + 74 25.178 * * [simplify]: Extracting #4: cost 6 inf + 918 25.179 * * [simplify]: Extracting #5: cost 0 inf + 1911 25.179 * [simplify]: Simplified to (+ (log (* 2 PI)) (log n)) 25.179 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2)))) 25.180 * * * * [progress]: [ 50 / 118 ] simplifiying candidate # 25.180 * * * * [progress]: [ 51 / 118 ] simplifiying candidate # 25.180 * * * * [progress]: [ 52 / 118 ] simplifiying candidate # 25.180 * [simplify]: Simplifying (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)) 25.180 * * [simplify]: iters left: 6 (11 enodes) 25.187 * * [simplify]: iters left: 5 (47 enodes) 25.208 * * [simplify]: iters left: 4 (115 enodes) 25.247 * * [simplify]: iters left: 3 (384 enodes) 25.568 * * [simplify]: Extracting #0: cost 1 inf + 0 25.568 * * [simplify]: Extracting #1: cost 102 inf + 0 25.570 * * [simplify]: Extracting #2: cost 263 inf + 1026 25.580 * * [simplify]: Extracting #3: cost 88 inf + 24284 25.592 * * [simplify]: Extracting #4: cost 2 inf + 40704 25.602 * * [simplify]: Extracting #5: cost 0 inf + 41008 25.611 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 25.612 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)))) 25.612 * * * * [progress]: [ 53 / 118 ] simplifiying candidate # 25.612 * [simplify]: Simplifying (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)) 25.612 * * [simplify]: iters left: 6 (9 enodes) 25.616 * * [simplify]: iters left: 5 (45 enodes) 25.632 * * [simplify]: iters left: 4 (116 enodes) 25.700 * * [simplify]: iters left: 3 (371 enodes) 26.051 * * [simplify]: Extracting #0: cost 1 inf + 0 26.051 * * [simplify]: Extracting #1: cost 82 inf + 0 26.054 * * [simplify]: Extracting #2: cost 200 inf + 498 26.061 * * [simplify]: Extracting #3: cost 121 inf + 10421 26.079 * * [simplify]: Extracting #4: cost 5 inf + 33505 26.098 * * [simplify]: Extracting #5: cost 0 inf + 33849 26.118 * * [simplify]: Extracting #6: cost 0 inf + 33809 26.137 * [simplify]: Simplified to (* (* n PI) (* 8 (* (* n PI) (* n PI)))) 26.137 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (cbrt (* (* n PI) (* 8 (* (* n PI) (* n PI))))) (/ (- 1 k) 2)))) 26.138 * * * * [progress]: [ 54 / 118 ] simplifiying candidate # 26.138 * * * * [progress]: [ 55 / 118 ] simplifiying candidate # 26.138 * * * * [progress]: [ 56 / 118 ] simplifiying candidate # 26.138 * * * * [progress]: [ 57 / 118 ] simplifiying candidate # 26.138 * * * * [progress]: [ 58 / 118 ] simplifiying candidate # 26.138 * [simplify]: Simplifying (cbrt n) 26.138 * * [simplify]: iters left: 1 (2 enodes) 26.139 * * [simplify]: Extracting #0: cost 1 inf + 0 26.139 * * [simplify]: Extracting #1: cost 3 inf + 0 26.139 * * [simplify]: Extracting #2: cost 2 inf + 1 26.139 * * [simplify]: Extracting #3: cost 0 inf + 163 26.139 * [simplify]: Simplified to (cbrt n) 26.140 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2)))) 26.140 * * * * [progress]: [ 59 / 118 ] simplifiying candidate # 26.140 * [simplify]: Simplifying (sqrt n) 26.140 * * [simplify]: iters left: 1 (2 enodes) 26.141 * * [simplify]: Extracting #0: cost 1 inf + 0 26.141 * * [simplify]: Extracting #1: cost 3 inf + 0 26.141 * * [simplify]: Extracting #2: cost 2 inf + 1 26.141 * * [simplify]: Extracting #3: cost 0 inf + 83 26.141 * [simplify]: Simplified to (sqrt n) 26.141 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2)))) 26.141 * * * * [progress]: [ 60 / 118 ] simplifiying candidate # 26.141 * * * * [progress]: [ 61 / 118 ] simplifiying candidate # 26.141 * * * * [progress]: [ 62 / 118 ] simplifiying candidate #real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))> 26.142 * * * * [progress]: [ 63 / 118 ] simplifiying candidate # 26.142 * * * * [progress]: [ 64 / 118 ] simplifiying candidate # 26.142 * * * * [progress]: [ 65 / 118 ] simplifiying candidate # 26.142 * * * * [progress]: [ 66 / 118 ] simplifiying candidate # 26.142 * * * * [progress]: [ 67 / 118 ] simplifiying candidate # 26.142 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 26.142 * * [simplify]: iters left: 6 (17 enodes) 26.158 * * [simplify]: iters left: 5 (69 enodes) 26.181 * * [simplify]: iters left: 4 (115 enodes) 26.230 * * [simplify]: iters left: 3 (301 enodes) 26.404 * * [simplify]: Extracting #0: cost 1 inf + 0 26.404 * * [simplify]: Extracting #1: cost 31 inf + 0 26.405 * * [simplify]: Extracting #2: cost 85 inf + 1 26.405 * * [simplify]: Extracting #3: cost 121 inf + 889 26.411 * * [simplify]: Extracting #4: cost 115 inf + 6054 26.424 * * [simplify]: Extracting #5: cost 24 inf + 32429 26.441 * * [simplify]: Extracting #6: cost 0 inf + 40563 26.458 * * [simplify]: Extracting #7: cost 0 inf + 40478 26.475 * [simplify]: Simplified to (fma (log k) -1/2 (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2)) 26.475 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2)))) 26.475 * * * * [progress]: [ 68 / 118 ] simplifiying candidate # 26.475 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 26.476 * * [simplify]: iters left: 6 (16 enodes) 26.486 * * [simplify]: iters left: 5 (67 enodes) 26.508 * * [simplify]: iters left: 4 (108 enodes) 26.549 * * [simplify]: iters left: 3 (240 enodes) 26.646 * * [simplify]: Extracting #0: cost 1 inf + 0 26.646 * * [simplify]: Extracting #1: cost 25 inf + 0 26.647 * * [simplify]: Extracting #2: cost 74 inf + 1 26.647 * * [simplify]: Extracting #3: cost 112 inf + 290 26.648 * * [simplify]: Extracting #4: cost 109 inf + 3635 26.654 * * [simplify]: Extracting #5: cost 45 inf + 18404 26.660 * * [simplify]: Extracting #6: cost 10 inf + 29492 26.667 * * [simplify]: Extracting #7: cost 0 inf + 32387 26.681 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2)) 26.681 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2)))) 26.681 * * * * [progress]: [ 69 / 118 ] simplifiying candidate # 26.682 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 26.682 * * [simplify]: iters left: 6 (15 enodes) 26.691 * * [simplify]: iters left: 5 (66 enodes) 26.708 * * [simplify]: iters left: 4 (115 enodes) 26.730 * * [simplify]: iters left: 3 (227 enodes) 26.810 * * [simplify]: Extracting #0: cost 1 inf + 0 26.810 * * [simplify]: Extracting #1: cost 18 inf + 0 26.810 * * [simplify]: Extracting #2: cost 71 inf + 1 26.811 * * [simplify]: Extracting #3: cost 115 inf + 147 26.811 * * [simplify]: Extracting #4: cost 122 inf + 1865 26.814 * * [simplify]: Extracting #5: cost 56 inf + 13675 26.819 * * [simplify]: Extracting #6: cost 5 inf + 26382 26.826 * * [simplify]: Extracting #7: cost 0 inf + 27859 26.834 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2)) 26.834 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2)))) 26.834 * * * * [progress]: [ 70 / 118 ] simplifiying candidate # 26.835 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 26.835 * * [simplify]: iters left: 6 (15 enodes) 26.847 * * [simplify]: iters left: 5 (66 enodes) 26.870 * * [simplify]: iters left: 4 (115 enodes) 26.911 * * [simplify]: iters left: 3 (227 enodes) 27.007 * * [simplify]: Extracting #0: cost 1 inf + 0 27.007 * * [simplify]: Extracting #1: cost 18 inf + 0 27.008 * * [simplify]: Extracting #2: cost 71 inf + 1 27.009 * * [simplify]: Extracting #3: cost 115 inf + 147 27.010 * * [simplify]: Extracting #4: cost 122 inf + 1865 27.015 * * [simplify]: Extracting #5: cost 56 inf + 13675 27.026 * * [simplify]: Extracting #6: cost 5 inf + 26382 27.039 * * [simplify]: Extracting #7: cost 0 inf + 27859 27.051 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2)) 27.051 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2)))) 27.052 * * * * [progress]: [ 71 / 118 ] simplifiying candidate # 27.052 * [simplify]: Simplifying (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 27.052 * * [simplify]: iters left: 6 (15 enodes) 27.061 * * [simplify]: iters left: 5 (65 enodes) 27.084 * * [simplify]: iters left: 4 (110 enodes) 27.126 * * [simplify]: iters left: 3 (212 enodes) 27.207 * * [simplify]: Extracting #0: cost 1 inf + 0 27.208 * * [simplify]: Extracting #1: cost 20 inf + 0 27.208 * * [simplify]: Extracting #2: cost 103 inf + 1 27.208 * * [simplify]: Extracting #3: cost 160 inf + 273 27.209 * * [simplify]: Extracting #4: cost 147 inf + 3244 27.212 * * [simplify]: Extracting #5: cost 68 inf + 21782 27.219 * * [simplify]: Extracting #6: cost 2 inf + 39785 27.234 * * [simplify]: Extracting #7: cost 0 inf + 38356 27.243 * * [simplify]: Extracting #8: cost 0 inf + 38238 27.250 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- 1 k) (/ 2 (log (* n (* 2 PI)))))) 27.250 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- 1 k) (/ 2 (log (* n (* 2 PI)))))))) 27.250 * * * * [progress]: [ 72 / 118 ] simplifiying candidate # 27.250 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 27.250 * * [simplify]: iters left: 6 (17 enodes) 27.255 * * [simplify]: iters left: 5 (69 enodes) 27.268 * * [simplify]: iters left: 4 (115 enodes) 27.318 * * [simplify]: iters left: 3 (301 enodes) 27.438 * * [simplify]: Extracting #0: cost 1 inf + 0 27.438 * * [simplify]: Extracting #1: cost 31 inf + 0 27.438 * * [simplify]: Extracting #2: cost 85 inf + 1 27.439 * * [simplify]: Extracting #3: cost 121 inf + 889 27.442 * * [simplify]: Extracting #4: cost 115 inf + 6054 27.455 * * [simplify]: Extracting #5: cost 24 inf + 32429 27.471 * * [simplify]: Extracting #6: cost 0 inf + 40563 27.488 * * [simplify]: Extracting #7: cost 0 inf + 40478 27.507 * [simplify]: Simplified to (fma (log k) -1/2 (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2)) 27.507 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2)))) 27.507 * * * * [progress]: [ 73 / 118 ] simplifiying candidate # 27.507 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 27.507 * * [simplify]: iters left: 6 (16 enodes) 27.517 * * [simplify]: iters left: 5 (67 enodes) 27.539 * * [simplify]: iters left: 4 (108 enodes) 27.566 * * [simplify]: iters left: 3 (240 enodes) 27.644 * * [simplify]: Extracting #0: cost 1 inf + 0 27.645 * * [simplify]: Extracting #1: cost 25 inf + 0 27.645 * * [simplify]: Extracting #2: cost 74 inf + 1 27.646 * * [simplify]: Extracting #3: cost 112 inf + 290 27.648 * * [simplify]: Extracting #4: cost 109 inf + 3635 27.652 * * [simplify]: Extracting #5: cost 45 inf + 18404 27.658 * * [simplify]: Extracting #6: cost 10 inf + 29492 27.665 * * [simplify]: Extracting #7: cost 0 inf + 32387 27.672 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2)) 27.672 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2)))) 27.673 * * * * [progress]: [ 74 / 118 ] simplifiying candidate # 27.673 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 27.673 * * [simplify]: iters left: 6 (15 enodes) 27.678 * * [simplify]: iters left: 5 (66 enodes) 27.689 * * [simplify]: iters left: 4 (115 enodes) 27.713 * * [simplify]: iters left: 3 (227 enodes) 27.797 * * [simplify]: Extracting #0: cost 1 inf + 0 27.797 * * [simplify]: Extracting #1: cost 18 inf + 0 27.797 * * [simplify]: Extracting #2: cost 71 inf + 1 27.798 * * [simplify]: Extracting #3: cost 115 inf + 147 27.799 * * [simplify]: Extracting #4: cost 122 inf + 1865 27.801 * * [simplify]: Extracting #5: cost 56 inf + 13675 27.808 * * [simplify]: Extracting #6: cost 5 inf + 26382 27.815 * * [simplify]: Extracting #7: cost 0 inf + 27859 27.821 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2)) 27.821 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2)))) 27.822 * * * * [progress]: [ 75 / 118 ] simplifiying candidate # 27.822 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 27.822 * * [simplify]: iters left: 6 (15 enodes) 27.827 * * [simplify]: iters left: 5 (66 enodes) 27.839 * * [simplify]: iters left: 4 (115 enodes) 27.860 * * [simplify]: iters left: 3 (227 enodes) 27.968 * * [simplify]: Extracting #0: cost 1 inf + 0 27.968 * * [simplify]: Extracting #1: cost 18 inf + 0 27.968 * * [simplify]: Extracting #2: cost 71 inf + 1 27.969 * * [simplify]: Extracting #3: cost 115 inf + 147 27.970 * * [simplify]: Extracting #4: cost 122 inf + 1865 27.975 * * [simplify]: Extracting #5: cost 56 inf + 13675 27.986 * * [simplify]: Extracting #6: cost 5 inf + 26382 27.999 * * [simplify]: Extracting #7: cost 0 inf + 27859 28.012 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2)) 28.012 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2)))) 28.012 * * * * [progress]: [ 76 / 118 ] simplifiying candidate # 28.012 * [simplify]: Simplifying (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 28.012 * * [simplify]: iters left: 6 (15 enodes) 28.021 * * [simplify]: iters left: 5 (65 enodes) 28.047 * * [simplify]: iters left: 4 (110 enodes) 28.069 * * [simplify]: iters left: 3 (212 enodes) 28.136 * * [simplify]: Extracting #0: cost 1 inf + 0 28.136 * * [simplify]: Extracting #1: cost 20 inf + 0 28.137 * * [simplify]: Extracting #2: cost 103 inf + 1 28.137 * * [simplify]: Extracting #3: cost 160 inf + 273 28.138 * * [simplify]: Extracting #4: cost 147 inf + 3244 28.141 * * [simplify]: Extracting #5: cost 68 inf + 21782 28.149 * * [simplify]: Extracting #6: cost 2 inf + 39785 28.163 * * [simplify]: Extracting #7: cost 0 inf + 38356 28.177 * * [simplify]: Extracting #8: cost 0 inf + 38238 28.186 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- 1 k) (/ 2 (log (* n (* 2 PI)))))) 28.187 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- 1 k) (/ 2 (log (* n (* 2 PI)))))))) 28.187 * * * * [progress]: [ 77 / 118 ] simplifiying candidate # 28.187 * [simplify]: Simplifying (+ (log (pow k -1/2)) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 28.187 * * [simplify]: iters left: 6 (17 enodes) 28.192 * * [simplify]: iters left: 5 (73 enodes) 28.206 * * [simplify]: iters left: 4 (136 enodes) 28.252 * * [simplify]: iters left: 3 (357 enodes) 28.834 * * [simplify]: Extracting #0: cost 1 inf + 0 28.834 * * [simplify]: Extracting #1: cost 36 inf + 0 28.835 * * [simplify]: Extracting #2: cost 115 inf + 2 28.835 * * [simplify]: Extracting #3: cost 162 inf + 1363 28.837 * * [simplify]: Extracting #4: cost 151 inf + 7927 28.844 * * [simplify]: Extracting #5: cost 44 inf + 38787 28.859 * * [simplify]: Extracting #6: cost 2 inf + 56101 28.870 * * [simplify]: Extracting #7: cost 0 inf + 56418 28.881 * * [simplify]: Extracting #8: cost 0 inf + 56413 28.902 * * [simplify]: Extracting #9: cost 0 inf + 56411 28.921 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2)) 28.921 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2)))) 28.922 * * * * [progress]: [ 78 / 118 ] simplifiying candidate # 28.922 * [simplify]: Simplifying (+ (log (pow k -1/2)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 28.922 * * [simplify]: iters left: 6 (16 enodes) 28.927 * * [simplify]: iters left: 5 (71 enodes) 28.942 * * [simplify]: iters left: 4 (129 enodes) 28.990 * * [simplify]: iters left: 3 (302 enodes) 29.088 * * [simplify]: Extracting #0: cost 1 inf + 0 29.088 * * [simplify]: Extracting #1: cost 28 inf + 0 29.088 * * [simplify]: Extracting #2: cost 92 inf + 2 29.089 * * [simplify]: Extracting #3: cost 140 inf + 584 29.090 * * [simplify]: Extracting #4: cost 137 inf + 5441 29.094 * * [simplify]: Extracting #5: cost 63 inf + 23424 29.104 * * [simplify]: Extracting #6: cost 12 inf + 39220 29.117 * * [simplify]: Extracting #7: cost 0 inf + 43126 29.129 * * [simplify]: Extracting #8: cost 0 inf + 43123 29.138 * [simplify]: Simplified to (fma (log k) -1/2 (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2)) 29.138 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2)))) 29.138 * * * * [progress]: [ 79 / 118 ] simplifiying candidate # 29.138 * [simplify]: Simplifying (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 29.139 * * [simplify]: iters left: 6 (15 enodes) 29.144 * * [simplify]: iters left: 5 (70 enodes) 29.167 * * [simplify]: iters left: 4 (136 enodes) 29.219 * * [simplify]: iters left: 3 (288 enodes) 29.362 * * [simplify]: Extracting #0: cost 1 inf + 0 29.362 * * [simplify]: Extracting #1: cost 21 inf + 0 29.363 * * [simplify]: Extracting #2: cost 86 inf + 2 29.364 * * [simplify]: Extracting #3: cost 141 inf + 118 29.366 * * [simplify]: Extracting #4: cost 142 inf + 4927 29.372 * * [simplify]: Extracting #5: cost 71 inf + 19695 29.385 * * [simplify]: Extracting #6: cost 1 inf + 37747 29.403 * * [simplify]: Extracting #7: cost 0 inf + 37320 29.411 * [simplify]: Simplified to (fma (log k) -1/2 (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2)) 29.411 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2)))) 29.411 * * * * [progress]: [ 80 / 118 ] simplifiying candidate # 29.411 * [simplify]: Simplifying (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 29.411 * * [simplify]: iters left: 6 (15 enodes) 29.417 * * [simplify]: iters left: 5 (70 enodes) 29.431 * * [simplify]: iters left: 4 (136 enodes) 29.458 * * [simplify]: iters left: 3 (288 enodes) 29.556 * * [simplify]: Extracting #0: cost 1 inf + 0 29.556 * * [simplify]: Extracting #1: cost 21 inf + 0 29.556 * * [simplify]: Extracting #2: cost 86 inf + 2 29.557 * * [simplify]: Extracting #3: cost 141 inf + 118 29.560 * * [simplify]: Extracting #4: cost 142 inf + 4927 29.567 * * [simplify]: Extracting #5: cost 71 inf + 19695 29.575 * * [simplify]: Extracting #6: cost 1 inf + 37747 29.585 * * [simplify]: Extracting #7: cost 0 inf + 37320 29.593 * [simplify]: Simplified to (fma (log k) -1/2 (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2)) 29.593 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2)))) 29.593 * * * * [progress]: [ 81 / 118 ] simplifiying candidate # 29.593 * [simplify]: Simplifying (+ (log (pow k -1/2)) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 29.593 * * [simplify]: iters left: 6 (15 enodes) 29.599 * * [simplify]: iters left: 5 (69 enodes) 29.622 * * [simplify]: iters left: 4 (135 enodes) 29.672 * * [simplify]: iters left: 3 (275 enodes) 29.759 * * [simplify]: Extracting #0: cost 1 inf + 0 29.759 * * [simplify]: Extracting #1: cost 25 inf + 0 29.759 * * [simplify]: Extracting #2: cost 127 inf + 2 29.761 * * [simplify]: Extracting #3: cost 187 inf + 798 29.763 * * [simplify]: Extracting #4: cost 142 inf + 12459 29.768 * * [simplify]: Extracting #5: cost 52 inf + 31902 29.775 * * [simplify]: Extracting #6: cost 8 inf + 45156 29.784 * * [simplify]: Extracting #7: cost 0 inf + 49407 29.796 * [simplify]: Simplified to (fma (log (* n (* 2 PI))) (/ (- 1 k) 2) (* (log k) -1/2)) 29.796 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log (* n (* 2 PI))) (/ (- 1 k) 2) (* (log k) -1/2)))) 29.796 * * * * [progress]: [ 82 / 118 ] simplifiying candidate # 29.796 * * * * [progress]: [ 83 / 118 ] simplifiying candidate # 29.796 * * * * [progress]: [ 84 / 118 ] simplifiying candidate # 29.797 * [simplify]: Simplifying (* (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2)) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 29.797 * * [simplify]: iters left: 6 (17 enodes) 29.808 * * [simplify]: iters left: 5 (82 enodes) 29.827 * * [simplify]: iters left: 4 (187 enodes) 29.906 * * [simplify]: Extracting #0: cost 1 inf + 0 29.906 * * [simplify]: Extracting #1: cost 36 inf + 0 29.907 * * [simplify]: Extracting #2: cost 147 inf + 1 29.908 * * [simplify]: Extracting #3: cost 161 inf + 2071 29.910 * * [simplify]: Extracting #4: cost 151 inf + 4860 29.914 * * [simplify]: Extracting #5: cost 101 inf + 20649 29.924 * * [simplify]: Extracting #6: cost 13 inf + 77646 29.935 * * [simplify]: Extracting #7: cost 0 inf + 88763 29.950 * * [simplify]: Extracting #8: cost 0 inf + 88685 29.971 * [simplify]: Simplified to (* (* (pow k -1/2) (/ 1 k)) (* (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) 29.971 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (pow k -1/2) (/ 1 k)) (* (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 29.971 * * * * [progress]: [ 85 / 118 ] simplifiying candidate # 29.971 * * * * [progress]: [ 86 / 118 ] simplifiying candidate # 29.971 * * * * [progress]: [ 87 / 118 ] simplifiying candidate # 29.971 * * * * [progress]: [ 88 / 118 ] simplifiying candidate # 29.972 * * * * [progress]: [ 89 / 118 ] simplifiying candidate # 29.972 * [simplify]: Simplifying (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 29.972 * * [simplify]: iters left: 6 (15 enodes) 29.982 * * [simplify]: iters left: 5 (65 enodes) 30.011 * * [simplify]: iters left: 4 (111 enodes) 30.051 * * [simplify]: iters left: 3 (190 enodes) 30.123 * * [simplify]: iters left: 2 (358 enodes) 30.244 * * [simplify]: Extracting #0: cost 1 inf + 0 30.244 * * [simplify]: Extracting #1: cost 22 inf + 0 30.245 * * [simplify]: Extracting #2: cost 80 inf + 0 30.245 * * [simplify]: Extracting #3: cost 92 inf + 7 30.246 * * [simplify]: Extracting #4: cost 138 inf + 1270 30.248 * * [simplify]: Extracting #5: cost 139 inf + 7272 30.253 * * [simplify]: Extracting #6: cost 94 inf + 17137 30.262 * * [simplify]: Extracting #7: cost 57 inf + 28500 30.270 * * [simplify]: Extracting #8: cost 8 inf + 67044 30.278 * * [simplify]: Extracting #9: cost 0 inf + 74980 30.287 * [simplify]: Simplified to (* (pow (sqrt k) -1/2) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) 30.287 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (sqrt k) -1/2) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 30.288 * [simplify]: Simplifying (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 30.288 * * [simplify]: iters left: 6 (15 enodes) 30.292 * * [simplify]: iters left: 5 (65 enodes) 30.305 * * [simplify]: iters left: 4 (111 enodes) 30.338 * * [simplify]: iters left: 3 (190 enodes) 30.411 * * [simplify]: iters left: 2 (358 enodes) 30.536 * * [simplify]: Extracting #0: cost 1 inf + 0 30.536 * * [simplify]: Extracting #1: cost 22 inf + 0 30.536 * * [simplify]: Extracting #2: cost 80 inf + 0 30.537 * * [simplify]: Extracting #3: cost 92 inf + 7 30.538 * * [simplify]: Extracting #4: cost 138 inf + 1270 30.540 * * [simplify]: Extracting #5: cost 139 inf + 7272 30.544 * * [simplify]: Extracting #6: cost 94 inf + 17137 30.551 * * [simplify]: Extracting #7: cost 57 inf + 28500 30.566 * * [simplify]: Extracting #8: cost 8 inf + 67044 30.584 * * [simplify]: Extracting #9: cost 0 inf + 74980 30.598 * [simplify]: Simplified to (* (pow (sqrt k) -1/2) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) 30.598 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (pow (sqrt k) -1/2) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))) 30.598 * * * * [progress]: [ 90 / 118 ] simplifiying candidate # 30.599 * [simplify]: Simplifying (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 30.599 * * [simplify]: iters left: 6 (15 enodes) 30.604 * * [simplify]: iters left: 5 (68 enodes) 30.622 * * [simplify]: iters left: 4 (125 enodes) 30.655 * * [simplify]: iters left: 3 (246 enodes) 30.729 * * [simplify]: Extracting #0: cost 1 inf + 0 30.729 * * [simplify]: Extracting #1: cost 32 inf + 0 30.730 * * [simplify]: Extracting #2: cost 114 inf + 0 30.730 * * [simplify]: Extracting #3: cost 148 inf + 5 30.731 * * [simplify]: Extracting #4: cost 145 inf + 1442 30.733 * * [simplify]: Extracting #5: cost 84 inf + 22762 30.740 * * [simplify]: Extracting #6: cost 8 inf + 70872 30.752 * * [simplify]: Extracting #7: cost 0 inf + 73751 30.769 * [simplify]: Simplified to (* (pow (sqrt k) -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 30.770 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (sqrt k) -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 30.770 * [simplify]: Simplifying (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 30.770 * * [simplify]: iters left: 6 (15 enodes) 30.779 * * [simplify]: iters left: 5 (68 enodes) 30.792 * * [simplify]: iters left: 4 (125 enodes) 30.823 * * [simplify]: iters left: 3 (246 enodes) 30.905 * * [simplify]: Extracting #0: cost 1 inf + 0 30.905 * * [simplify]: Extracting #1: cost 32 inf + 0 30.905 * * [simplify]: Extracting #2: cost 114 inf + 0 30.906 * * [simplify]: Extracting #3: cost 148 inf + 5 30.906 * * [simplify]: Extracting #4: cost 145 inf + 1442 30.908 * * [simplify]: Extracting #5: cost 84 inf + 22762 30.915 * * [simplify]: Extracting #6: cost 8 inf + 70872 30.924 * * [simplify]: Extracting #7: cost 0 inf + 73751 30.939 * [simplify]: Simplified to (* (pow (sqrt k) -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 30.939 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (pow (sqrt k) -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 30.939 * * * * [progress]: [ 91 / 118 ] simplifiying candidate # 30.939 * [simplify]: Simplifying (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 30.939 * * [simplify]: iters left: 6 (15 enodes) 30.944 * * [simplify]: iters left: 5 (65 enodes) 30.956 * * [simplify]: iters left: 4 (108 enodes) 30.981 * * [simplify]: iters left: 3 (179 enodes) 31.017 * * [simplify]: iters left: 2 (315 enodes) 31.109 * * [simplify]: Extracting #0: cost 1 inf + 0 31.109 * * [simplify]: Extracting #1: cost 4 inf + 0 31.109 * * [simplify]: Extracting #2: cost 10 inf + 0 31.109 * * [simplify]: Extracting #3: cost 40 inf + 0 31.109 * * [simplify]: Extracting #4: cost 114 inf + 4 31.111 * * [simplify]: Extracting #5: cost 108 inf + 5572 31.115 * * [simplify]: Extracting #6: cost 53 inf + 18240 31.122 * * [simplify]: Extracting #7: cost 12 inf + 34249 31.132 * * [simplify]: Extracting #8: cost 1 inf + 41351 31.143 * * [simplify]: Extracting #9: cost 0 inf + 41452 31.153 * * [simplify]: Extracting #10: cost 0 inf + 41330 31.163 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 31.163 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow k -1/2)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 31.163 * [simplify]: Simplifying (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.163 * * [simplify]: iters left: 6 (15 enodes) 31.168 * * [simplify]: iters left: 5 (65 enodes) 31.185 * * [simplify]: iters left: 4 (108 enodes) 31.217 * * [simplify]: iters left: 3 (179 enodes) 31.280 * * [simplify]: iters left: 2 (315 enodes) 31.392 * * [simplify]: Extracting #0: cost 1 inf + 0 31.392 * * [simplify]: Extracting #1: cost 4 inf + 0 31.392 * * [simplify]: Extracting #2: cost 10 inf + 0 31.392 * * [simplify]: Extracting #3: cost 40 inf + 0 31.392 * * [simplify]: Extracting #4: cost 114 inf + 4 31.393 * * [simplify]: Extracting #5: cost 108 inf + 5572 31.395 * * [simplify]: Extracting #6: cost 53 inf + 18240 31.398 * * [simplify]: Extracting #7: cost 12 inf + 34249 31.403 * * [simplify]: Extracting #8: cost 1 inf + 41351 31.411 * * [simplify]: Extracting #9: cost 0 inf + 41452 31.421 * * [simplify]: Extracting #10: cost 0 inf + 41330 31.428 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 31.428 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (sqrt (pow k -1/2)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 31.429 * * * * [progress]: [ 92 / 118 ] simplifiying candidate # 31.429 * [simplify]: Simplifying (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 31.429 * * [simplify]: iters left: 6 (15 enodes) 31.438 * * [simplify]: iters left: 5 (68 enodes) 31.450 * * [simplify]: iters left: 4 (118 enodes) 31.479 * * [simplify]: iters left: 3 (208 enodes) 31.547 * * [simplify]: iters left: 2 (412 enodes) 31.660 * * [simplify]: Extracting #0: cost 1 inf + 0 31.660 * * [simplify]: Extracting #1: cost 36 inf + 0 31.661 * * [simplify]: Extracting #2: cost 106 inf + 0 31.662 * * [simplify]: Extracting #3: cost 169 inf + 2 31.664 * * [simplify]: Extracting #4: cost 193 inf + 984 31.667 * * [simplify]: Extracting #5: cost 145 inf + 9064 31.678 * * [simplify]: Extracting #6: cost 49 inf + 51280 31.701 * * [simplify]: Extracting #7: cost 4 inf + 89226 31.721 * * [simplify]: Extracting #8: cost 0 inf + 92777 31.733 * * [simplify]: Extracting #9: cost 0 inf + 92654 31.749 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 31.749 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 31.750 * [simplify]: Simplifying (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 31.750 * * [simplify]: iters left: 6 (15 enodes) 31.759 * * [simplify]: iters left: 5 (68 enodes) 31.776 * * [simplify]: iters left: 4 (118 enodes) 31.803 * * [simplify]: iters left: 3 (208 enodes) 31.870 * * [simplify]: iters left: 2 (412 enodes) 32.011 * * [simplify]: Extracting #0: cost 1 inf + 0 32.011 * * [simplify]: Extracting #1: cost 36 inf + 0 32.012 * * [simplify]: Extracting #2: cost 106 inf + 0 32.013 * * [simplify]: Extracting #3: cost 169 inf + 2 32.015 * * [simplify]: Extracting #4: cost 193 inf + 984 32.018 * * [simplify]: Extracting #5: cost 145 inf + 9064 32.024 * * [simplify]: Extracting #6: cost 49 inf + 51280 32.035 * * [simplify]: Extracting #7: cost 4 inf + 89226 32.049 * * [simplify]: Extracting #8: cost 0 inf + 92777 32.073 * * [simplify]: Extracting #9: cost 0 inf + 92654 32.088 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 32.088 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 32.089 * * * * [progress]: [ 93 / 118 ] simplifiying candidate # 32.089 * [simplify]: Simplifying (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.089 * * [simplify]: iters left: 6 (15 enodes) 32.095 * * [simplify]: iters left: 5 (66 enodes) 32.111 * * [simplify]: iters left: 4 (117 enodes) 32.154 * * [simplify]: iters left: 3 (207 enodes) 32.233 * * [simplify]: iters left: 2 (392 enodes) 32.368 * * [simplify]: Extracting #0: cost 1 inf + 0 32.368 * * [simplify]: Extracting #1: cost 27 inf + 0 32.369 * * [simplify]: Extracting #2: cost 83 inf + 0 32.370 * * [simplify]: Extracting #3: cost 93 inf + 8 32.371 * * [simplify]: Extracting #4: cost 128 inf + 6175 32.373 * * [simplify]: Extracting #5: cost 131 inf + 13135 32.380 * * [simplify]: Extracting #6: cost 67 inf + 36717 32.392 * * [simplify]: Extracting #7: cost 14 inf + 64855 32.401 * * [simplify]: Extracting #8: cost 0 inf + 76373 32.409 * * [simplify]: Extracting #9: cost 0 inf + 75718 32.418 * * [simplify]: Extracting #10: cost 0 inf + 75456 32.440 * [simplify]: Simplified to (* (pow k -1/4) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 32.440 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow k -1/4) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 32.441 * [simplify]: Simplifying (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.441 * * [simplify]: iters left: 6 (15 enodes) 32.451 * * [simplify]: iters left: 5 (66 enodes) 32.474 * * [simplify]: iters left: 4 (117 enodes) 32.501 * * [simplify]: iters left: 3 (207 enodes) 32.583 * * [simplify]: iters left: 2 (392 enodes) 32.729 * * [simplify]: Extracting #0: cost 1 inf + 0 32.729 * * [simplify]: Extracting #1: cost 27 inf + 0 32.730 * * [simplify]: Extracting #2: cost 83 inf + 0 32.730 * * [simplify]: Extracting #3: cost 93 inf + 8 32.731 * * [simplify]: Extracting #4: cost 128 inf + 6175 32.732 * * [simplify]: Extracting #5: cost 131 inf + 13135 32.735 * * [simplify]: Extracting #6: cost 67 inf + 36717 32.742 * * [simplify]: Extracting #7: cost 14 inf + 64855 32.760 * * [simplify]: Extracting #8: cost 0 inf + 76373 32.777 * * [simplify]: Extracting #9: cost 0 inf + 75718 32.795 * * [simplify]: Extracting #10: cost 0 inf + 75456 32.809 * [simplify]: Simplified to (* (pow k -1/4) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 32.809 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (pow k -1/4) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) 32.809 * * * * [progress]: [ 94 / 118 ] simplifiying candidate # 32.810 * [simplify]: Simplifying (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 32.810 * * [simplify]: iters left: 6 (15 enodes) 32.819 * * [simplify]: iters left: 5 (69 enodes) 32.833 * * [simplify]: iters left: 4 (131 enodes) 32.879 * * [simplify]: iters left: 3 (262 enodes) 32.965 * * [simplify]: Extracting #0: cost 1 inf + 0 32.966 * * [simplify]: Extracting #1: cost 32 inf + 0 32.966 * * [simplify]: Extracting #2: cost 113 inf + 0 32.966 * * [simplify]: Extracting #3: cost 145 inf + 6 32.967 * * [simplify]: Extracting #4: cost 131 inf + 4394 32.972 * * [simplify]: Extracting #5: cost 59 inf + 34433 32.986 * * [simplify]: Extracting #6: cost 4 inf + 65966 32.998 * * [simplify]: Extracting #7: cost 0 inf + 69228 33.006 * [simplify]: Simplified to (* (pow k -1/4) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 33.006 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow k -1/4) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 33.007 * [simplify]: Simplifying (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 33.007 * * [simplify]: iters left: 6 (15 enodes) 33.012 * * [simplify]: iters left: 5 (69 enodes) 33.032 * * [simplify]: iters left: 4 (131 enodes) 33.067 * * [simplify]: iters left: 3 (262 enodes) 33.156 * * [simplify]: Extracting #0: cost 1 inf + 0 33.156 * * [simplify]: Extracting #1: cost 32 inf + 0 33.157 * * [simplify]: Extracting #2: cost 113 inf + 0 33.158 * * [simplify]: Extracting #3: cost 145 inf + 6 33.159 * * [simplify]: Extracting #4: cost 131 inf + 4394 33.165 * * [simplify]: Extracting #5: cost 59 inf + 34433 33.177 * * [simplify]: Extracting #6: cost 4 inf + 65966 33.193 * * [simplify]: Extracting #7: cost 0 inf + 69228 33.209 * [simplify]: Simplified to (* (pow k -1/4) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 33.210 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (pow k -1/4) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 33.210 * * * * [progress]: [ 95 / 118 ] simplifiying candidate # 33.210 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 33.211 * * [simplify]: iters left: 5 (7 enodes) 33.216 * * [simplify]: iters left: 4 (32 enodes) 33.228 * * [simplify]: iters left: 3 (57 enodes) 33.254 * * [simplify]: iters left: 2 (88 enodes) 33.287 * * [simplify]: iters left: 1 (156 enodes) 33.338 * * [simplify]: Extracting #0: cost 1 inf + 0 33.338 * * [simplify]: Extracting #1: cost 13 inf + 0 33.339 * * [simplify]: Extracting #2: cost 49 inf + 2 33.339 * * [simplify]: Extracting #3: cost 80 inf + 6 33.339 * * [simplify]: Extracting #4: cost 58 inf + 1840 33.341 * * [simplify]: Extracting #5: cost 22 inf + 9206 33.344 * * [simplify]: Extracting #6: cost 1 inf + 20886 33.347 * * [simplify]: Extracting #7: cost 0 inf + 21301 33.350 * * [simplify]: Extracting #8: cost 0 inf + 21130 33.353 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 33.353 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 33.353 * * * * [progress]: [ 96 / 118 ] simplifiying candidate # 33.353 * [simplify]: Simplifying (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 33.353 * * [simplify]: iters left: 6 (11 enodes) 33.357 * * [simplify]: iters left: 5 (48 enodes) 33.369 * * [simplify]: iters left: 4 (77 enodes) 33.383 * * [simplify]: iters left: 3 (118 enodes) 33.419 * * [simplify]: iters left: 2 (206 enodes) 33.497 * * [simplify]: iters left: 1 (372 enodes) 33.701 * * [simplify]: Extracting #0: cost 1 inf + 0 33.702 * * [simplify]: Extracting #1: cost 3 inf + 0 33.702 * * [simplify]: Extracting #2: cost 27 inf + 0 33.702 * * [simplify]: Extracting #3: cost 104 inf + 1 33.703 * * [simplify]: Extracting #4: cost 163 inf + 176 33.705 * * [simplify]: Extracting #5: cost 158 inf + 478 33.709 * * [simplify]: Extracting #6: cost 99 inf + 10661 33.721 * * [simplify]: Extracting #7: cost 36 inf + 32713 33.742 * * [simplify]: Extracting #8: cost 0 inf + 58050 33.758 * [simplify]: Simplified to (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) 33.758 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) 33.758 * * * * [progress]: [ 97 / 118 ] simplifiying candidate # 33.758 * [simplify]: Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 33.759 * * [simplify]: iters left: 6 (11 enodes) 33.762 * * [simplify]: iters left: 5 (48 enodes) 33.774 * * [simplify]: iters left: 4 (78 enodes) 33.791 * * [simplify]: iters left: 3 (119 enodes) 33.815 * * [simplify]: iters left: 2 (210 enodes) 33.861 * * [simplify]: iters left: 1 (385 enodes) 34.036 * * [simplify]: Extracting #0: cost 1 inf + 0 34.036 * * [simplify]: Extracting #1: cost 4 inf + 0 34.037 * * [simplify]: Extracting #2: cost 31 inf + 0 34.037 * * [simplify]: Extracting #3: cost 113 inf + 1 34.038 * * [simplify]: Extracting #4: cost 153 inf + 178 34.040 * * [simplify]: Extracting #5: cost 144 inf + 1185 34.044 * * [simplify]: Extracting #6: cost 79 inf + 10570 34.065 * * [simplify]: Extracting #7: cost 13 inf + 47373 34.086 * * [simplify]: Extracting #8: cost 0 inf + 58801 34.108 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 34.108 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 34.108 * * * * [progress]: [ 98 / 118 ] simplifiying candidate # 34.109 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 34.109 * * [simplify]: iters left: 5 (10 enodes) 34.115 * * [simplify]: iters left: 4 (45 enodes) 34.127 * * [simplify]: iters left: 3 (78 enodes) 34.140 * * [simplify]: iters left: 2 (118 enodes) 34.165 * * [simplify]: iters left: 1 (191 enodes) 34.228 * * [simplify]: Extracting #0: cost 1 inf + 0 34.228 * * [simplify]: Extracting #1: cost 13 inf + 0 34.228 * * [simplify]: Extracting #2: cost 59 inf + 1 34.228 * * [simplify]: Extracting #3: cost 91 inf + 7 34.229 * * [simplify]: Extracting #4: cost 83 inf + 556 34.230 * * [simplify]: Extracting #5: cost 33 inf + 11764 34.234 * * [simplify]: Extracting #6: cost 0 inf + 23469 34.240 * * [simplify]: Extracting #7: cost 0 inf + 23146 34.249 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 34.249 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 34.249 * * * * [progress]: [ 99 / 118 ] simplifiying candidate # 34.250 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 34.250 * * [simplify]: iters left: 6 (11 enodes) 34.256 * * [simplify]: iters left: 5 (51 enodes) 34.265 * * [simplify]: iters left: 4 (87 enodes) 34.281 * * [simplify]: iters left: 3 (143 enodes) 34.313 * * [simplify]: iters left: 2 (259 enodes) 34.396 * * [simplify]: iters left: 1 (471 enodes) 34.643 * * [simplify]: Extracting #0: cost 1 inf + 0 34.643 * * [simplify]: Extracting #1: cost 24 inf + 0 34.643 * * [simplify]: Extracting #2: cost 119 inf + 1 34.644 * * [simplify]: Extracting #3: cost 203 inf + 137 34.645 * * [simplify]: Extracting #4: cost 200 inf + 729 34.648 * * [simplify]: Extracting #5: cost 123 inf + 9170 34.654 * * [simplify]: Extracting #6: cost 38 inf + 34270 34.666 * * [simplify]: Extracting #7: cost 6 inf + 59341 34.678 * * [simplify]: Extracting #8: cost 0 inf + 64938 34.692 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* 1/4 (- 1 k))) 34.692 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (* 1/4 (- 1 k))))) 34.692 * * * * [progress]: [ 100 / 118 ] simplifiying candidate # 34.692 * [simplify]: Simplifying (pow (* (cbrt k) (cbrt k)) -1/2) 34.692 * * [simplify]: iters left: 4 (5 enodes) 34.694 * * [simplify]: iters left: 3 (20 enodes) 34.699 * * [simplify]: iters left: 2 (34 enodes) 34.707 * * [simplify]: iters left: 1 (64 enodes) 34.730 * * [simplify]: Extracting #0: cost 1 inf + 0 34.730 * * [simplify]: Extracting #1: cost 9 inf + 0 34.731 * * [simplify]: Extracting #2: cost 23 inf + 1 34.731 * * [simplify]: Extracting #3: cost 22 inf + 5 34.731 * * [simplify]: Extracting #4: cost 18 inf + 169 34.731 * * [simplify]: Extracting #5: cost 9 inf + 3237 34.733 * * [simplify]: Extracting #6: cost 0 inf + 7611 34.734 * [simplify]: Simplified to (pow (* (cbrt k) (cbrt k)) -1/2) 34.734 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (cbrt k) (cbrt k)) -1/2) (* (pow (cbrt k) -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 34.734 * * * * [progress]: [ 101 / 118 ] simplifiying candidate # 34.735 * [simplify]: Simplifying (pow (sqrt k) -1/2) 34.735 * * [simplify]: iters left: 2 (4 enodes) 34.737 * * [simplify]: iters left: 1 (17 enodes) 34.745 * * [simplify]: Extracting #0: cost 1 inf + 0 34.746 * * [simplify]: Extracting #1: cost 5 inf + 0 34.746 * * [simplify]: Extracting #2: cost 9 inf + 1 34.746 * * [simplify]: Extracting #3: cost 8 inf + 3 34.746 * * [simplify]: Extracting #4: cost 1 inf + 1094 34.746 * * [simplify]: Extracting #5: cost 0 inf + 1346 34.746 * [simplify]: Simplified to (pow (sqrt k) -1/2) 34.746 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (sqrt k) -1/2) (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 34.747 * * * * [progress]: [ 102 / 118 ] simplifiying candidate # 34.747 * [simplify]: Simplifying (pow 1 -1/2) 34.747 * * [simplify]: iters left: 1 (3 enodes) 34.749 * * [simplify]: Extracting #0: cost 1 inf + 0 34.749 * * [simplify]: Extracting #1: cost 0 inf + 1 34.749 * [simplify]: Simplified to 1 34.749 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 34.750 * * * * [progress]: [ 103 / 118 ] simplifiying candidate # 34.750 * [simplify]: Simplifying (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) 34.750 * * [simplify]: iters left: 4 (5 enodes) 34.753 * * [simplify]: iters left: 3 (20 enodes) 34.762 * * [simplify]: iters left: 2 (34 enodes) 34.772 * * [simplify]: iters left: 1 (64 enodes) 34.785 * * [simplify]: Extracting #0: cost 1 inf + 0 34.785 * * [simplify]: Extracting #1: cost 3 inf + 0 34.785 * * [simplify]: Extracting #2: cost 5 inf + 0 34.785 * * [simplify]: Extracting #3: cost 13 inf + 0 34.785 * * [simplify]: Extracting #4: cost 24 inf + 2 34.785 * * [simplify]: Extracting #5: cost 15 inf + 1558 34.785 * * [simplify]: Extracting #6: cost 6 inf + 4299 34.786 * * [simplify]: Extracting #7: cost 0 inf + 6535 34.786 * [simplify]: Simplified to (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) 34.786 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (* (cbrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 34.786 * * * * [progress]: [ 104 / 118 ] simplifiying candidate # 34.786 * [simplify]: Simplifying (sqrt (pow k -1/2)) 34.786 * * [simplify]: iters left: 2 (4 enodes) 34.788 * * [simplify]: iters left: 1 (17 enodes) 34.795 * * [simplify]: Extracting #0: cost 1 inf + 0 34.795 * * [simplify]: Extracting #1: cost 4 inf + 0 34.795 * * [simplify]: Extracting #2: cost 10 inf + 0 34.795 * * [simplify]: Extracting #3: cost 8 inf + 3 34.795 * * [simplify]: Extracting #4: cost 1 inf + 1356 34.795 * * [simplify]: Extracting #5: cost 0 inf + 1568 34.795 * [simplify]: Simplified to (sqrt (pow k -1/2)) 34.795 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow k -1/2)) (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 34.795 * * * * [progress]: [ 105 / 118 ] simplifiying candidate # 34.795 * * * * [progress]: [ 106 / 118 ] simplifiying candidate # 34.796 * [simplify]: Simplifying (pow k (/ -1/2 2)) 34.796 * * [simplify]: iters left: 3 (5 enodes) 34.798 * * [simplify]: iters left: 2 (20 enodes) 34.808 * * [simplify]: iters left: 1 (37 enodes) 34.826 * * [simplify]: Extracting #0: cost 1 inf + 0 34.826 * * [simplify]: Extracting #1: cost 9 inf + 0 34.826 * * [simplify]: Extracting #2: cost 12 inf + 2 34.826 * * [simplify]: Extracting #3: cost 7 inf + 852 34.826 * * [simplify]: Extracting #4: cost 0 inf + 2667 34.827 * [simplify]: Simplified to (pow k -1/4) 34.827 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow k -1/4) (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 34.827 * * * * [progress]: [ 107 / 118 ] simplifiying candidate # 34.827 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 34.827 * * [simplify]: iters left: 5 (8 enodes) 34.832 * * [simplify]: iters left: 4 (31 enodes) 34.842 * * [simplify]: iters left: 3 (51 enodes) 34.860 * * [simplify]: iters left: 2 (85 enodes) 34.889 * * [simplify]: iters left: 1 (152 enodes) 34.936 * * [simplify]: Extracting #0: cost 1 inf + 0 34.936 * * [simplify]: Extracting #1: cost 13 inf + 0 34.936 * * [simplify]: Extracting #2: cost 60 inf + 1 34.936 * * [simplify]: Extracting #3: cost 76 inf + 51 34.937 * * [simplify]: Extracting #4: cost 44 inf + 2846 34.938 * * [simplify]: Extracting #5: cost 21 inf + 7590 34.942 * * [simplify]: Extracting #6: cost 1 inf + 20687 34.944 * * [simplify]: Extracting #7: cost 0 inf + 20539 34.947 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 34.947 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow k -1/2) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2)))) 34.947 * * * * [progress]: [ 108 / 118 ] simplifiying candidate #real (real->posit16 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 34.947 * * * * [progress]: [ 109 / 118 ] simplifiying candidate # 34.947 * * * * [progress]: [ 110 / 118 ] simplifiying candidate # 34.948 * [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))))) 34.948 * * [simplify]: iters left: 6 (37 enodes) 34.960 * * [simplify]: iters left: 5 (190 enodes) 35.008 * * [simplify]: Extracting #0: cost 1 inf + 0 35.008 * * [simplify]: Extracting #1: cost 22 inf + 0 35.008 * * [simplify]: Extracting #2: cost 108 inf + 1 35.008 * * [simplify]: Extracting #3: cost 171 inf + 46 35.009 * * [simplify]: Extracting #4: cost 189 inf + 427 35.014 * * [simplify]: Extracting #5: cost 128 inf + 16032 35.022 * * [simplify]: Extracting #6: cost 29 inf + 57153 35.039 * * [simplify]: Extracting #7: cost 4 inf + 75884 35.071 * * [simplify]: Extracting #8: cost 0 inf + 78767 35.102 * [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))) 35.102 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow k -1/2) (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))))) 35.103 * * * * [progress]: [ 111 / 118 ] simplifiying candidate # 35.103 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 35.103 * * [simplify]: iters left: 6 (15 enodes) 35.112 * * [simplify]: iters left: 5 (65 enodes) 35.135 * * [simplify]: iters left: 4 (123 enodes) 35.193 * * [simplify]: iters left: 3 (367 enodes) 35.412 * * [simplify]: Extracting #0: cost 1 inf + 0 35.412 * * [simplify]: Extracting #1: cost 37 inf + 0 35.413 * * [simplify]: Extracting #2: cost 216 inf + 72 35.415 * * [simplify]: Extracting #3: cost 356 inf + 1622 35.424 * * [simplify]: Extracting #4: cost 219 inf + 28945 35.440 * * [simplify]: Extracting #5: cost 21 inf + 83197 35.456 * * [simplify]: Extracting #6: cost 0 inf + 89881 35.479 * * [simplify]: Extracting #7: cost 0 inf + 89729 35.516 * * [simplify]: Extracting #8: cost 0 inf + 89726 35.539 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 35.539 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow k -1/2) (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))))) 35.539 * * * * [progress]: [ 112 / 118 ] simplifiying candidate # 35.540 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 35.540 * * [simplify]: iters left: 6 (16 enodes) 35.545 * * [simplify]: iters left: 5 (67 enodes) 35.558 * * [simplify]: iters left: 4 (134 enodes) 35.620 * * [simplify]: iters left: 3 (413 enodes) 35.840 * * [simplify]: Extracting #0: cost 1 inf + 0 35.841 * * [simplify]: Extracting #1: cost 39 inf + 0 35.841 * * [simplify]: Extracting #2: cost 241 inf + 72 35.843 * * [simplify]: Extracting #3: cost 450 inf + 903 35.845 * * [simplify]: Extracting #4: cost 376 inf + 10375 35.856 * * [simplify]: Extracting #5: cost 158 inf + 67083 35.880 * * [simplify]: Extracting #6: cost 12 inf + 118840 35.903 * * [simplify]: Extracting #7: cost 0 inf + 121984 35.926 * * [simplify]: Extracting #8: cost 0 inf + 121983 35.949 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 35.949 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow k -1/2) (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))))) 35.949 * * * * [progress]: [ 113 / 118 ] simplifiying candidate # 35.949 * [simplify]: Simplifying (* 2 (* n PI)) 35.949 * * [simplify]: iters left: 4 (5 enodes) 35.952 * * [simplify]: iters left: 3 (19 enodes) 35.956 * * [simplify]: iters left: 2 (27 enodes) 35.960 * * [simplify]: iters left: 1 (32 enodes) 35.965 * * [simplify]: Extracting #0: cost 1 inf + 0 35.965 * * [simplify]: Extracting #1: cost 8 inf + 0 35.965 * * [simplify]: Extracting #2: cost 7 inf + 45 35.965 * * [simplify]: Extracting #3: cost 0 inf + 421 35.965 * [simplify]: Simplified to (* (* PI n) 2) 35.965 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 35.965 * * * * [progress]: [ 114 / 118 ] simplifiying candidate # 35.966 * [simplify]: Simplifying (* 2 (* n PI)) 35.966 * * [simplify]: iters left: 4 (5 enodes) 35.967 * * [simplify]: iters left: 3 (19 enodes) 35.971 * * [simplify]: iters left: 2 (27 enodes) 35.979 * * [simplify]: iters left: 1 (32 enodes) 35.988 * * [simplify]: Extracting #0: cost 1 inf + 0 35.988 * * [simplify]: Extracting #1: cost 8 inf + 0 35.988 * * [simplify]: Extracting #2: cost 7 inf + 45 35.988 * * [simplify]: Extracting #3: cost 0 inf + 421 35.989 * [simplify]: Simplified to (* (* PI n) 2) 35.989 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 35.989 * * * * [progress]: [ 115 / 118 ] simplifiying candidate # 35.989 * [simplify]: Simplifying (* 2 (* n PI)) 35.989 * * [simplify]: iters left: 4 (5 enodes) 35.992 * * [simplify]: iters left: 3 (19 enodes) 35.998 * * [simplify]: iters left: 2 (27 enodes) 36.006 * * [simplify]: iters left: 1 (32 enodes) 36.014 * * [simplify]: Extracting #0: cost 1 inf + 0 36.015 * * [simplify]: Extracting #1: cost 8 inf + 0 36.015 * * [simplify]: Extracting #2: cost 7 inf + 45 36.015 * * [simplify]: Extracting #3: cost 0 inf + 421 36.015 * [simplify]: Simplified to (* (* PI n) 2) 36.015 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 36.015 * * * * [progress]: [ 116 / 118 ] simplifiying candidate # 36.016 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 36.016 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 36.016 * * * * [progress]: [ 117 / 118 ] simplifiying candidate # 36.016 * [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)))))))) 36.016 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 36.017 * * * * [progress]: [ 118 / 118 ] simplifiying candidate # 36.017 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))))))) 36.017 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 36.017 * * * [progress]: adding candidates to table 37.393 * * [progress]: iteration 3 / 4 37.393 * * * [progress]: picking best candidate 37.430 * * * * [pick]: Picked # 37.430 * * * [progress]: localizing error 37.466 * * * [progress]: generating rewritten candidates 37.466 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 37.488 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 37.506 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 37.526 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 37.560 * * * [progress]: generating series expansions 37.560 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 37.561 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 37.561 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 37.562 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 37.562 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 37.562 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 37.562 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 37.562 * [taylor]: Taking taylor expansion of 1/2 in k 37.562 * [backup-simplify]: Simplify 1/2 into 1/2 37.562 * [taylor]: Taking taylor expansion of (- 1 k) in k 37.562 * [taylor]: Taking taylor expansion of 1 in k 37.562 * [backup-simplify]: Simplify 1 into 1 37.562 * [taylor]: Taking taylor expansion of k in k 37.562 * [backup-simplify]: Simplify 0 into 0 37.562 * [backup-simplify]: Simplify 1 into 1 37.562 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 37.562 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 37.562 * [taylor]: Taking taylor expansion of 2 in k 37.562 * [backup-simplify]: Simplify 2 into 2 37.562 * [taylor]: Taking taylor expansion of (* n PI) in k 37.562 * [taylor]: Taking taylor expansion of n in k 37.562 * [backup-simplify]: Simplify n into n 37.562 * [taylor]: Taking taylor expansion of PI in k 37.562 * [backup-simplify]: Simplify PI into PI 37.562 * [backup-simplify]: Simplify (* n PI) into (* n PI) 37.562 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 37.562 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 37.563 * [backup-simplify]: Simplify (- 0) into 0 37.563 * [backup-simplify]: Simplify (+ 1 0) into 1 37.564 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 37.564 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 37.564 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 37.564 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 37.564 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 37.564 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 37.564 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 37.564 * [taylor]: Taking taylor expansion of 1/2 in n 37.564 * [backup-simplify]: Simplify 1/2 into 1/2 37.564 * [taylor]: Taking taylor expansion of (- 1 k) in n 37.564 * [taylor]: Taking taylor expansion of 1 in n 37.564 * [backup-simplify]: Simplify 1 into 1 37.564 * [taylor]: Taking taylor expansion of k in n 37.564 * [backup-simplify]: Simplify k into k 37.564 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 37.564 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 37.564 * [taylor]: Taking taylor expansion of 2 in n 37.564 * [backup-simplify]: Simplify 2 into 2 37.564 * [taylor]: Taking taylor expansion of (* n PI) in n 37.564 * [taylor]: Taking taylor expansion of n in n 37.564 * [backup-simplify]: Simplify 0 into 0 37.564 * [backup-simplify]: Simplify 1 into 1 37.564 * [taylor]: Taking taylor expansion of PI in n 37.564 * [backup-simplify]: Simplify PI into PI 37.565 * [backup-simplify]: Simplify (* 0 PI) into 0 37.565 * [backup-simplify]: Simplify (* 2 0) into 0 37.567 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 37.568 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 37.569 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 37.569 * [backup-simplify]: Simplify (- k) into (- k) 37.569 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 37.569 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 37.571 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 37.572 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 37.573 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 37.573 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 37.573 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 37.573 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 37.573 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 37.573 * [taylor]: Taking taylor expansion of 1/2 in n 37.573 * [backup-simplify]: Simplify 1/2 into 1/2 37.573 * [taylor]: Taking taylor expansion of (- 1 k) in n 37.573 * [taylor]: Taking taylor expansion of 1 in n 37.573 * [backup-simplify]: Simplify 1 into 1 37.573 * [taylor]: Taking taylor expansion of k in n 37.573 * [backup-simplify]: Simplify k into k 37.573 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 37.573 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 37.573 * [taylor]: Taking taylor expansion of 2 in n 37.573 * [backup-simplify]: Simplify 2 into 2 37.573 * [taylor]: Taking taylor expansion of (* n PI) in n 37.573 * [taylor]: Taking taylor expansion of n in n 37.573 * [backup-simplify]: Simplify 0 into 0 37.573 * [backup-simplify]: Simplify 1 into 1 37.573 * [taylor]: Taking taylor expansion of PI in n 37.573 * [backup-simplify]: Simplify PI into PI 37.574 * [backup-simplify]: Simplify (* 0 PI) into 0 37.574 * [backup-simplify]: Simplify (* 2 0) into 0 37.576 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 37.577 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 37.578 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 37.578 * [backup-simplify]: Simplify (- k) into (- k) 37.578 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 37.579 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 37.580 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 37.581 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 37.582 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 37.582 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 37.582 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 37.582 * [taylor]: Taking taylor expansion of 1/2 in k 37.582 * [backup-simplify]: Simplify 1/2 into 1/2 37.582 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 37.582 * [taylor]: Taking taylor expansion of (- 1 k) in k 37.582 * [taylor]: Taking taylor expansion of 1 in k 37.582 * [backup-simplify]: Simplify 1 into 1 37.582 * [taylor]: Taking taylor expansion of k in k 37.583 * [backup-simplify]: Simplify 0 into 0 37.583 * [backup-simplify]: Simplify 1 into 1 37.583 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 37.583 * [taylor]: Taking taylor expansion of (log n) in k 37.583 * [taylor]: Taking taylor expansion of n in k 37.583 * [backup-simplify]: Simplify n into n 37.583 * [backup-simplify]: Simplify (log n) into (log n) 37.583 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 37.583 * [taylor]: Taking taylor expansion of (* 2 PI) in k 37.583 * [taylor]: Taking taylor expansion of 2 in k 37.583 * [backup-simplify]: Simplify 2 into 2 37.583 * [taylor]: Taking taylor expansion of PI in k 37.583 * [backup-simplify]: Simplify PI into PI 37.583 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 37.584 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 37.585 * [backup-simplify]: Simplify (- 0) into 0 37.585 * [backup-simplify]: Simplify (+ 1 0) into 1 37.586 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 37.592 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 37.593 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 37.594 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 37.595 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 37.596 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 37.597 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 37.599 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 37.600 * [backup-simplify]: Simplify (- 0) into 0 37.600 * [backup-simplify]: Simplify (+ 0 0) into 0 37.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 37.602 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 37.603 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 37.605 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 37.605 * [taylor]: Taking taylor expansion of 0 in k 37.605 * [backup-simplify]: Simplify 0 into 0 37.605 * [backup-simplify]: Simplify 0 into 0 37.606 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 37.607 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 37.609 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 37.609 * [backup-simplify]: Simplify (+ 0 0) into 0 37.609 * [backup-simplify]: Simplify (- 1) into -1 37.610 * [backup-simplify]: Simplify (+ 0 -1) into -1 37.611 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 37.613 * [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))))) 37.616 * [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))))))) 37.619 * [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))))))) 37.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 37.621 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 37.625 * [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 37.625 * [backup-simplify]: Simplify (- 0) into 0 37.626 * [backup-simplify]: Simplify (+ 0 0) into 0 37.626 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 37.628 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 37.629 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 37.632 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 37.632 * [taylor]: Taking taylor expansion of 0 in k 37.632 * [backup-simplify]: Simplify 0 into 0 37.632 * [backup-simplify]: Simplify 0 into 0 37.632 * [backup-simplify]: Simplify 0 into 0 37.633 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 37.634 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 37.638 * [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 37.638 * [backup-simplify]: Simplify (+ 0 0) into 0 37.639 * [backup-simplify]: Simplify (- 0) into 0 37.639 * [backup-simplify]: Simplify (+ 0 0) into 0 37.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 37.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 37.647 * [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))))) 37.652 * [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))))) 37.662 * [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))))) 37.662 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 37.662 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 37.662 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 37.663 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 37.663 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 37.663 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 37.663 * [taylor]: Taking taylor expansion of 1/2 in k 37.663 * [backup-simplify]: Simplify 1/2 into 1/2 37.663 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 37.663 * [taylor]: Taking taylor expansion of 1 in k 37.663 * [backup-simplify]: Simplify 1 into 1 37.663 * [taylor]: Taking taylor expansion of (/ 1 k) in k 37.663 * [taylor]: Taking taylor expansion of k in k 37.663 * [backup-simplify]: Simplify 0 into 0 37.663 * [backup-simplify]: Simplify 1 into 1 37.663 * [backup-simplify]: Simplify (/ 1 1) into 1 37.663 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 37.663 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 37.663 * [taylor]: Taking taylor expansion of 2 in k 37.663 * [backup-simplify]: Simplify 2 into 2 37.663 * [taylor]: Taking taylor expansion of (/ PI n) in k 37.663 * [taylor]: Taking taylor expansion of PI in k 37.663 * [backup-simplify]: Simplify PI into PI 37.663 * [taylor]: Taking taylor expansion of n in k 37.663 * [backup-simplify]: Simplify n into n 37.664 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 37.664 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 37.664 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 37.664 * [backup-simplify]: Simplify (- 1) into -1 37.665 * [backup-simplify]: Simplify (+ 0 -1) into -1 37.665 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 37.665 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 37.665 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 37.665 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 37.665 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 37.665 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 37.665 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 37.665 * [taylor]: Taking taylor expansion of 1/2 in n 37.665 * [backup-simplify]: Simplify 1/2 into 1/2 37.666 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 37.666 * [taylor]: Taking taylor expansion of 1 in n 37.666 * [backup-simplify]: Simplify 1 into 1 37.666 * [taylor]: Taking taylor expansion of (/ 1 k) in n 37.666 * [taylor]: Taking taylor expansion of k in n 37.666 * [backup-simplify]: Simplify k into k 37.666 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 37.666 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 37.666 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 37.666 * [taylor]: Taking taylor expansion of 2 in n 37.666 * [backup-simplify]: Simplify 2 into 2 37.666 * [taylor]: Taking taylor expansion of (/ PI n) in n 37.666 * [taylor]: Taking taylor expansion of PI in n 37.666 * [backup-simplify]: Simplify PI into PI 37.666 * [taylor]: Taking taylor expansion of n in n 37.666 * [backup-simplify]: Simplify 0 into 0 37.666 * [backup-simplify]: Simplify 1 into 1 37.666 * [backup-simplify]: Simplify (/ PI 1) into PI 37.667 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 37.667 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 37.667 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 37.668 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 37.668 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 37.668 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 37.669 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 37.670 * [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))))) 37.670 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 37.670 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 37.670 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 37.670 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 37.670 * [taylor]: Taking taylor expansion of 1/2 in n 37.670 * [backup-simplify]: Simplify 1/2 into 1/2 37.670 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 37.670 * [taylor]: Taking taylor expansion of 1 in n 37.670 * [backup-simplify]: Simplify 1 into 1 37.670 * [taylor]: Taking taylor expansion of (/ 1 k) in n 37.670 * [taylor]: Taking taylor expansion of k in n 37.670 * [backup-simplify]: Simplify k into k 37.670 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 37.670 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 37.670 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 37.670 * [taylor]: Taking taylor expansion of 2 in n 37.670 * [backup-simplify]: Simplify 2 into 2 37.670 * [taylor]: Taking taylor expansion of (/ PI n) in n 37.670 * [taylor]: Taking taylor expansion of PI in n 37.670 * [backup-simplify]: Simplify PI into PI 37.670 * [taylor]: Taking taylor expansion of n in n 37.670 * [backup-simplify]: Simplify 0 into 0 37.670 * [backup-simplify]: Simplify 1 into 1 37.670 * [backup-simplify]: Simplify (/ PI 1) into PI 37.671 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 37.671 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 37.671 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 37.672 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 37.672 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 37.672 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 37.673 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 37.674 * [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))))) 37.674 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 37.674 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 37.674 * [taylor]: Taking taylor expansion of 1/2 in k 37.674 * [backup-simplify]: Simplify 1/2 into 1/2 37.674 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 37.674 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 37.674 * [taylor]: Taking taylor expansion of 1 in k 37.674 * [backup-simplify]: Simplify 1 into 1 37.674 * [taylor]: Taking taylor expansion of (/ 1 k) in k 37.674 * [taylor]: Taking taylor expansion of k in k 37.674 * [backup-simplify]: Simplify 0 into 0 37.674 * [backup-simplify]: Simplify 1 into 1 37.674 * [backup-simplify]: Simplify (/ 1 1) into 1 37.674 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 37.674 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 37.674 * [taylor]: Taking taylor expansion of (* 2 PI) in k 37.674 * [taylor]: Taking taylor expansion of 2 in k 37.674 * [backup-simplify]: Simplify 2 into 2 37.674 * [taylor]: Taking taylor expansion of PI in k 37.674 * [backup-simplify]: Simplify PI into PI 37.675 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 37.675 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 37.675 * [taylor]: Taking taylor expansion of (log n) in k 37.675 * [taylor]: Taking taylor expansion of n in k 37.675 * [backup-simplify]: Simplify n into n 37.675 * [backup-simplify]: Simplify (log n) into (log n) 37.676 * [backup-simplify]: Simplify (- 1) into -1 37.676 * [backup-simplify]: Simplify (+ 0 -1) into -1 37.676 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 37.676 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 37.677 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 37.678 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 37.678 * [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))))) 37.679 * [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))))) 37.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 37.680 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 37.681 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 37.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 37.681 * [backup-simplify]: Simplify (- 0) into 0 37.682 * [backup-simplify]: Simplify (+ 0 0) into 0 37.682 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 37.683 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 37.683 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 37.684 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 37.684 * [taylor]: Taking taylor expansion of 0 in k 37.685 * [backup-simplify]: Simplify 0 into 0 37.685 * [backup-simplify]: Simplify 0 into 0 37.685 * [backup-simplify]: Simplify 0 into 0 37.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.686 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 37.687 * [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 37.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 37.688 * [backup-simplify]: Simplify (- 0) into 0 37.688 * [backup-simplify]: Simplify (+ 0 0) into 0 37.689 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 37.689 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 37.690 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 37.692 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 37.692 * [taylor]: Taking taylor expansion of 0 in k 37.692 * [backup-simplify]: Simplify 0 into 0 37.692 * [backup-simplify]: Simplify 0 into 0 37.692 * [backup-simplify]: Simplify 0 into 0 37.692 * [backup-simplify]: Simplify 0 into 0 37.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.693 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 37.696 * [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 37.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 37.697 * [backup-simplify]: Simplify (- 0) into 0 37.697 * [backup-simplify]: Simplify (+ 0 0) into 0 37.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 37.699 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 37.700 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 37.701 * [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 37.701 * [taylor]: Taking taylor expansion of 0 in k 37.701 * [backup-simplify]: Simplify 0 into 0 37.701 * [backup-simplify]: Simplify 0 into 0 37.702 * [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)))))) 37.703 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 37.703 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 37.703 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 37.703 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 37.703 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 37.703 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 37.703 * [taylor]: Taking taylor expansion of 1/2 in k 37.703 * [backup-simplify]: Simplify 1/2 into 1/2 37.703 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 37.703 * [taylor]: Taking taylor expansion of (/ 1 k) in k 37.703 * [taylor]: Taking taylor expansion of k in k 37.703 * [backup-simplify]: Simplify 0 into 0 37.703 * [backup-simplify]: Simplify 1 into 1 37.703 * [backup-simplify]: Simplify (/ 1 1) into 1 37.703 * [taylor]: Taking taylor expansion of 1 in k 37.703 * [backup-simplify]: Simplify 1 into 1 37.703 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 37.703 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 37.703 * [taylor]: Taking taylor expansion of -2 in k 37.703 * [backup-simplify]: Simplify -2 into -2 37.703 * [taylor]: Taking taylor expansion of (/ PI n) in k 37.703 * [taylor]: Taking taylor expansion of PI in k 37.703 * [backup-simplify]: Simplify PI into PI 37.703 * [taylor]: Taking taylor expansion of n in k 37.703 * [backup-simplify]: Simplify n into n 37.703 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 37.703 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 37.703 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 37.704 * [backup-simplify]: Simplify (+ 1 0) into 1 37.704 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 37.704 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 37.704 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 37.704 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 37.704 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 37.704 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 37.704 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 37.704 * [taylor]: Taking taylor expansion of 1/2 in n 37.704 * [backup-simplify]: Simplify 1/2 into 1/2 37.704 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 37.704 * [taylor]: Taking taylor expansion of (/ 1 k) in n 37.704 * [taylor]: Taking taylor expansion of k in n 37.704 * [backup-simplify]: Simplify k into k 37.704 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 37.704 * [taylor]: Taking taylor expansion of 1 in n 37.704 * [backup-simplify]: Simplify 1 into 1 37.704 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 37.704 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 37.704 * [taylor]: Taking taylor expansion of -2 in n 37.704 * [backup-simplify]: Simplify -2 into -2 37.704 * [taylor]: Taking taylor expansion of (/ PI n) in n 37.704 * [taylor]: Taking taylor expansion of PI in n 37.704 * [backup-simplify]: Simplify PI into PI 37.705 * [taylor]: Taking taylor expansion of n in n 37.705 * [backup-simplify]: Simplify 0 into 0 37.705 * [backup-simplify]: Simplify 1 into 1 37.705 * [backup-simplify]: Simplify (/ PI 1) into PI 37.710 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 37.710 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 37.711 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 37.711 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 37.712 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 37.712 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 37.713 * [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))))) 37.713 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 37.713 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 37.713 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 37.713 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 37.713 * [taylor]: Taking taylor expansion of 1/2 in n 37.713 * [backup-simplify]: Simplify 1/2 into 1/2 37.713 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 37.713 * [taylor]: Taking taylor expansion of (/ 1 k) in n 37.713 * [taylor]: Taking taylor expansion of k in n 37.713 * [backup-simplify]: Simplify k into k 37.713 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 37.713 * [taylor]: Taking taylor expansion of 1 in n 37.713 * [backup-simplify]: Simplify 1 into 1 37.713 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 37.713 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 37.713 * [taylor]: Taking taylor expansion of -2 in n 37.713 * [backup-simplify]: Simplify -2 into -2 37.713 * [taylor]: Taking taylor expansion of (/ PI n) in n 37.713 * [taylor]: Taking taylor expansion of PI in n 37.713 * [backup-simplify]: Simplify PI into PI 37.713 * [taylor]: Taking taylor expansion of n in n 37.713 * [backup-simplify]: Simplify 0 into 0 37.713 * [backup-simplify]: Simplify 1 into 1 37.714 * [backup-simplify]: Simplify (/ PI 1) into PI 37.714 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 37.715 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 37.715 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 37.715 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 37.716 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 37.718 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 37.719 * [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))))) 37.719 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 37.719 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 37.719 * [taylor]: Taking taylor expansion of 1/2 in k 37.719 * [backup-simplify]: Simplify 1/2 into 1/2 37.719 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 37.719 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 37.719 * [taylor]: Taking taylor expansion of (/ 1 k) in k 37.719 * [taylor]: Taking taylor expansion of k in k 37.719 * [backup-simplify]: Simplify 0 into 0 37.719 * [backup-simplify]: Simplify 1 into 1 37.720 * [backup-simplify]: Simplify (/ 1 1) into 1 37.720 * [taylor]: Taking taylor expansion of 1 in k 37.720 * [backup-simplify]: Simplify 1 into 1 37.720 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 37.720 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 37.720 * [taylor]: Taking taylor expansion of (* -2 PI) in k 37.720 * [taylor]: Taking taylor expansion of -2 in k 37.720 * [backup-simplify]: Simplify -2 into -2 37.720 * [taylor]: Taking taylor expansion of PI in k 37.720 * [backup-simplify]: Simplify PI into PI 37.720 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 37.721 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 37.721 * [taylor]: Taking taylor expansion of (log n) in k 37.721 * [taylor]: Taking taylor expansion of n in k 37.721 * [backup-simplify]: Simplify n into n 37.721 * [backup-simplify]: Simplify (log n) into (log n) 37.722 * [backup-simplify]: Simplify (+ 1 0) into 1 37.722 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 37.723 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 37.724 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 37.725 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 37.726 * [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))))) 37.727 * [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))))) 37.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 37.729 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 37.731 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 37.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 37.731 * [backup-simplify]: Simplify (+ 0 0) into 0 37.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 37.733 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 37.734 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 37.736 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 37.736 * [taylor]: Taking taylor expansion of 0 in k 37.736 * [backup-simplify]: Simplify 0 into 0 37.736 * [backup-simplify]: Simplify 0 into 0 37.737 * [backup-simplify]: Simplify 0 into 0 37.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.739 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 37.742 * [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 37.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 37.743 * [backup-simplify]: Simplify (+ 0 0) into 0 37.744 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 37.745 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 37.747 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 37.749 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 37.749 * [taylor]: Taking taylor expansion of 0 in k 37.749 * [backup-simplify]: Simplify 0 into 0 37.749 * [backup-simplify]: Simplify 0 into 0 37.749 * [backup-simplify]: Simplify 0 into 0 37.749 * [backup-simplify]: Simplify 0 into 0 37.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.752 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 37.758 * [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 37.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 37.759 * [backup-simplify]: Simplify (+ 0 0) into 0 37.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 37.762 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 37.764 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 37.766 * [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 37.766 * [taylor]: Taking taylor expansion of 0 in k 37.766 * [backup-simplify]: Simplify 0 into 0 37.766 * [backup-simplify]: Simplify 0 into 0 37.768 * [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)))))) 37.768 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 37.768 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 37.768 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 37.768 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 37.768 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 37.768 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 37.769 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 37.769 * [taylor]: Taking taylor expansion of 1/2 in k 37.769 * [backup-simplify]: Simplify 1/2 into 1/2 37.769 * [taylor]: Taking taylor expansion of (- 1 k) in k 37.769 * [taylor]: Taking taylor expansion of 1 in k 37.769 * [backup-simplify]: Simplify 1 into 1 37.769 * [taylor]: Taking taylor expansion of k in k 37.769 * [backup-simplify]: Simplify 0 into 0 37.769 * [backup-simplify]: Simplify 1 into 1 37.769 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 37.769 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 37.769 * [taylor]: Taking taylor expansion of 2 in k 37.769 * [backup-simplify]: Simplify 2 into 2 37.769 * [taylor]: Taking taylor expansion of (* n PI) in k 37.769 * [taylor]: Taking taylor expansion of n in k 37.769 * [backup-simplify]: Simplify n into n 37.769 * [taylor]: Taking taylor expansion of PI in k 37.769 * [backup-simplify]: Simplify PI into PI 37.769 * [backup-simplify]: Simplify (* n PI) into (* n PI) 37.769 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 37.769 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 37.770 * [backup-simplify]: Simplify (- 0) into 0 37.770 * [backup-simplify]: Simplify (+ 1 0) into 1 37.770 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 37.771 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 37.771 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 37.771 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 37.771 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 37.771 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 37.771 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 37.771 * [taylor]: Taking taylor expansion of 1/2 in n 37.771 * [backup-simplify]: Simplify 1/2 into 1/2 37.771 * [taylor]: Taking taylor expansion of (- 1 k) in n 37.771 * [taylor]: Taking taylor expansion of 1 in n 37.771 * [backup-simplify]: Simplify 1 into 1 37.771 * [taylor]: Taking taylor expansion of k in n 37.771 * [backup-simplify]: Simplify k into k 37.771 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 37.771 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 37.771 * [taylor]: Taking taylor expansion of 2 in n 37.771 * [backup-simplify]: Simplify 2 into 2 37.771 * [taylor]: Taking taylor expansion of (* n PI) in n 37.771 * [taylor]: Taking taylor expansion of n in n 37.771 * [backup-simplify]: Simplify 0 into 0 37.771 * [backup-simplify]: Simplify 1 into 1 37.771 * [taylor]: Taking taylor expansion of PI in n 37.771 * [backup-simplify]: Simplify PI into PI 37.772 * [backup-simplify]: Simplify (* 0 PI) into 0 37.772 * [backup-simplify]: Simplify (* 2 0) into 0 37.774 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 37.775 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 37.776 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 37.776 * [backup-simplify]: Simplify (- k) into (- k) 37.776 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 37.777 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 37.778 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 37.779 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 37.780 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 37.780 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 37.781 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 37.781 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 37.781 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 37.781 * [taylor]: Taking taylor expansion of 1/2 in n 37.781 * [backup-simplify]: Simplify 1/2 into 1/2 37.781 * [taylor]: Taking taylor expansion of (- 1 k) in n 37.781 * [taylor]: Taking taylor expansion of 1 in n 37.781 * [backup-simplify]: Simplify 1 into 1 37.781 * [taylor]: Taking taylor expansion of k in n 37.781 * [backup-simplify]: Simplify k into k 37.781 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 37.781 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 37.781 * [taylor]: Taking taylor expansion of 2 in n 37.781 * [backup-simplify]: Simplify 2 into 2 37.781 * [taylor]: Taking taylor expansion of (* n PI) in n 37.781 * [taylor]: Taking taylor expansion of n in n 37.781 * [backup-simplify]: Simplify 0 into 0 37.781 * [backup-simplify]: Simplify 1 into 1 37.781 * [taylor]: Taking taylor expansion of PI in n 37.781 * [backup-simplify]: Simplify PI into PI 37.782 * [backup-simplify]: Simplify (* 0 PI) into 0 37.782 * [backup-simplify]: Simplify (* 2 0) into 0 37.784 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 37.785 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 37.786 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 37.786 * [backup-simplify]: Simplify (- k) into (- k) 37.786 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 37.786 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 37.788 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 37.789 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 37.790 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 37.790 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 37.790 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 37.790 * [taylor]: Taking taylor expansion of 1/2 in k 37.790 * [backup-simplify]: Simplify 1/2 into 1/2 37.790 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 37.790 * [taylor]: Taking taylor expansion of (- 1 k) in k 37.790 * [taylor]: Taking taylor expansion of 1 in k 37.790 * [backup-simplify]: Simplify 1 into 1 37.790 * [taylor]: Taking taylor expansion of k in k 37.790 * [backup-simplify]: Simplify 0 into 0 37.790 * [backup-simplify]: Simplify 1 into 1 37.790 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 37.791 * [taylor]: Taking taylor expansion of (log n) in k 37.791 * [taylor]: Taking taylor expansion of n in k 37.791 * [backup-simplify]: Simplify n into n 37.791 * [backup-simplify]: Simplify (log n) into (log n) 37.791 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 37.791 * [taylor]: Taking taylor expansion of (* 2 PI) in k 37.791 * [taylor]: Taking taylor expansion of 2 in k 37.791 * [backup-simplify]: Simplify 2 into 2 37.791 * [taylor]: Taking taylor expansion of PI in k 37.791 * [backup-simplify]: Simplify PI into PI 37.791 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 37.792 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 37.793 * [backup-simplify]: Simplify (- 0) into 0 37.793 * [backup-simplify]: Simplify (+ 1 0) into 1 37.794 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 37.795 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 37.795 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 37.796 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 37.797 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 37.797 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 37.798 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 37.799 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 37.799 * [backup-simplify]: Simplify (- 0) into 0 37.799 * [backup-simplify]: Simplify (+ 0 0) into 0 37.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 37.801 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 37.801 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 37.802 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 37.802 * [taylor]: Taking taylor expansion of 0 in k 37.802 * [backup-simplify]: Simplify 0 into 0 37.802 * [backup-simplify]: Simplify 0 into 0 37.803 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 37.803 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 37.804 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 37.804 * [backup-simplify]: Simplify (+ 0 0) into 0 37.805 * [backup-simplify]: Simplify (- 1) into -1 37.805 * [backup-simplify]: Simplify (+ 0 -1) into -1 37.806 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 37.807 * [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))))) 37.809 * [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))))))) 37.810 * [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))))))) 37.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 37.812 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 37.813 * [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 37.814 * [backup-simplify]: Simplify (- 0) into 0 37.814 * [backup-simplify]: Simplify (+ 0 0) into 0 37.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 37.815 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 37.816 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 37.818 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 37.818 * [taylor]: Taking taylor expansion of 0 in k 37.818 * [backup-simplify]: Simplify 0 into 0 37.818 * [backup-simplify]: Simplify 0 into 0 37.818 * [backup-simplify]: Simplify 0 into 0 37.819 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 37.819 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 37.821 * [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 37.821 * [backup-simplify]: Simplify (+ 0 0) into 0 37.822 * [backup-simplify]: Simplify (- 0) into 0 37.822 * [backup-simplify]: Simplify (+ 0 0) into 0 37.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 37.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 37.837 * [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))))) 37.842 * [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))))) 37.852 * [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))))) 37.852 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 37.852 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 37.852 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 37.852 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 37.852 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 37.853 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 37.853 * [taylor]: Taking taylor expansion of 1/2 in k 37.853 * [backup-simplify]: Simplify 1/2 into 1/2 37.853 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 37.853 * [taylor]: Taking taylor expansion of 1 in k 37.853 * [backup-simplify]: Simplify 1 into 1 37.853 * [taylor]: Taking taylor expansion of (/ 1 k) in k 37.853 * [taylor]: Taking taylor expansion of k in k 37.853 * [backup-simplify]: Simplify 0 into 0 37.853 * [backup-simplify]: Simplify 1 into 1 37.853 * [backup-simplify]: Simplify (/ 1 1) into 1 37.853 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 37.853 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 37.853 * [taylor]: Taking taylor expansion of 2 in k 37.853 * [backup-simplify]: Simplify 2 into 2 37.853 * [taylor]: Taking taylor expansion of (/ PI n) in k 37.853 * [taylor]: Taking taylor expansion of PI in k 37.853 * [backup-simplify]: Simplify PI into PI 37.853 * [taylor]: Taking taylor expansion of n in k 37.853 * [backup-simplify]: Simplify n into n 37.853 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 37.854 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 37.854 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 37.854 * [backup-simplify]: Simplify (- 1) into -1 37.854 * [backup-simplify]: Simplify (+ 0 -1) into -1 37.855 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 37.855 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 37.855 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 37.855 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 37.855 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 37.855 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 37.855 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 37.855 * [taylor]: Taking taylor expansion of 1/2 in n 37.855 * [backup-simplify]: Simplify 1/2 into 1/2 37.855 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 37.855 * [taylor]: Taking taylor expansion of 1 in n 37.855 * [backup-simplify]: Simplify 1 into 1 37.855 * [taylor]: Taking taylor expansion of (/ 1 k) in n 37.855 * [taylor]: Taking taylor expansion of k in n 37.855 * [backup-simplify]: Simplify k into k 37.856 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 37.856 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 37.856 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 37.856 * [taylor]: Taking taylor expansion of 2 in n 37.856 * [backup-simplify]: Simplify 2 into 2 37.856 * [taylor]: Taking taylor expansion of (/ PI n) in n 37.856 * [taylor]: Taking taylor expansion of PI in n 37.856 * [backup-simplify]: Simplify PI into PI 37.856 * [taylor]: Taking taylor expansion of n in n 37.856 * [backup-simplify]: Simplify 0 into 0 37.856 * [backup-simplify]: Simplify 1 into 1 37.856 * [backup-simplify]: Simplify (/ PI 1) into PI 37.857 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 37.858 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 37.858 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 37.858 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 37.858 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 37.859 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 37.860 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 37.861 * [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))))) 37.861 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 37.862 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 37.862 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 37.862 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 37.862 * [taylor]: Taking taylor expansion of 1/2 in n 37.862 * [backup-simplify]: Simplify 1/2 into 1/2 37.862 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 37.862 * [taylor]: Taking taylor expansion of 1 in n 37.862 * [backup-simplify]: Simplify 1 into 1 37.862 * [taylor]: Taking taylor expansion of (/ 1 k) in n 37.862 * [taylor]: Taking taylor expansion of k in n 37.862 * [backup-simplify]: Simplify k into k 37.862 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 37.862 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 37.862 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 37.862 * [taylor]: Taking taylor expansion of 2 in n 37.862 * [backup-simplify]: Simplify 2 into 2 37.862 * [taylor]: Taking taylor expansion of (/ PI n) in n 37.862 * [taylor]: Taking taylor expansion of PI in n 37.862 * [backup-simplify]: Simplify PI into PI 37.862 * [taylor]: Taking taylor expansion of n in n 37.862 * [backup-simplify]: Simplify 0 into 0 37.862 * [backup-simplify]: Simplify 1 into 1 37.863 * [backup-simplify]: Simplify (/ PI 1) into PI 37.863 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 37.864 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 37.864 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 37.864 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 37.864 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 37.865 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 37.866 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 37.868 * [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))))) 37.868 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 37.868 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 37.868 * [taylor]: Taking taylor expansion of 1/2 in k 37.868 * [backup-simplify]: Simplify 1/2 into 1/2 37.868 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 37.868 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 37.868 * [taylor]: Taking taylor expansion of 1 in k 37.868 * [backup-simplify]: Simplify 1 into 1 37.868 * [taylor]: Taking taylor expansion of (/ 1 k) in k 37.868 * [taylor]: Taking taylor expansion of k in k 37.868 * [backup-simplify]: Simplify 0 into 0 37.868 * [backup-simplify]: Simplify 1 into 1 37.868 * [backup-simplify]: Simplify (/ 1 1) into 1 37.868 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 37.868 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 37.868 * [taylor]: Taking taylor expansion of (* 2 PI) in k 37.869 * [taylor]: Taking taylor expansion of 2 in k 37.869 * [backup-simplify]: Simplify 2 into 2 37.869 * [taylor]: Taking taylor expansion of PI in k 37.869 * [backup-simplify]: Simplify PI into PI 37.869 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 37.870 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 37.870 * [taylor]: Taking taylor expansion of (log n) in k 37.870 * [taylor]: Taking taylor expansion of n in k 37.870 * [backup-simplify]: Simplify n into n 37.870 * [backup-simplify]: Simplify (log n) into (log n) 37.870 * [backup-simplify]: Simplify (- 1) into -1 37.870 * [backup-simplify]: Simplify (+ 0 -1) into -1 37.870 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 37.871 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 37.872 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 37.872 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 37.873 * [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))))) 37.874 * [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))))) 37.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 37.875 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 37.875 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 37.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 37.876 * [backup-simplify]: Simplify (- 0) into 0 37.876 * [backup-simplify]: Simplify (+ 0 0) into 0 37.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 37.877 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 37.878 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 37.879 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 37.879 * [taylor]: Taking taylor expansion of 0 in k 37.879 * [backup-simplify]: Simplify 0 into 0 37.879 * [backup-simplify]: Simplify 0 into 0 37.879 * [backup-simplify]: Simplify 0 into 0 37.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.880 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 37.882 * [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 37.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 37.882 * [backup-simplify]: Simplify (- 0) into 0 37.882 * [backup-simplify]: Simplify (+ 0 0) into 0 37.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 37.884 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 37.885 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 37.886 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 37.886 * [taylor]: Taking taylor expansion of 0 in k 37.886 * [backup-simplify]: Simplify 0 into 0 37.886 * [backup-simplify]: Simplify 0 into 0 37.886 * [backup-simplify]: Simplify 0 into 0 37.886 * [backup-simplify]: Simplify 0 into 0 37.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.887 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 37.891 * [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 37.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 37.891 * [backup-simplify]: Simplify (- 0) into 0 37.891 * [backup-simplify]: Simplify (+ 0 0) into 0 37.892 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 37.893 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 37.894 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 37.896 * [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 37.896 * [taylor]: Taking taylor expansion of 0 in k 37.896 * [backup-simplify]: Simplify 0 into 0 37.896 * [backup-simplify]: Simplify 0 into 0 37.898 * [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)))))) 37.898 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 37.898 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 37.898 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 37.898 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 37.898 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 37.898 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 37.898 * [taylor]: Taking taylor expansion of 1/2 in k 37.898 * [backup-simplify]: Simplify 1/2 into 1/2 37.899 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 37.899 * [taylor]: Taking taylor expansion of (/ 1 k) in k 37.899 * [taylor]: Taking taylor expansion of k in k 37.899 * [backup-simplify]: Simplify 0 into 0 37.899 * [backup-simplify]: Simplify 1 into 1 37.899 * [backup-simplify]: Simplify (/ 1 1) into 1 37.899 * [taylor]: Taking taylor expansion of 1 in k 37.899 * [backup-simplify]: Simplify 1 into 1 37.899 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 37.899 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 37.899 * [taylor]: Taking taylor expansion of -2 in k 37.899 * [backup-simplify]: Simplify -2 into -2 37.899 * [taylor]: Taking taylor expansion of (/ PI n) in k 37.899 * [taylor]: Taking taylor expansion of PI in k 37.899 * [backup-simplify]: Simplify PI into PI 37.899 * [taylor]: Taking taylor expansion of n in k 37.899 * [backup-simplify]: Simplify n into n 37.899 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 37.899 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 37.900 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 37.900 * [backup-simplify]: Simplify (+ 1 0) into 1 37.900 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 37.900 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 37.901 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 37.901 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 37.901 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 37.901 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 37.901 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 37.901 * [taylor]: Taking taylor expansion of 1/2 in n 37.901 * [backup-simplify]: Simplify 1/2 into 1/2 37.901 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 37.901 * [taylor]: Taking taylor expansion of (/ 1 k) in n 37.901 * [taylor]: Taking taylor expansion of k in n 37.901 * [backup-simplify]: Simplify k into k 37.901 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 37.901 * [taylor]: Taking taylor expansion of 1 in n 37.901 * [backup-simplify]: Simplify 1 into 1 37.901 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 37.901 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 37.901 * [taylor]: Taking taylor expansion of -2 in n 37.901 * [backup-simplify]: Simplify -2 into -2 37.901 * [taylor]: Taking taylor expansion of (/ PI n) in n 37.901 * [taylor]: Taking taylor expansion of PI in n 37.901 * [backup-simplify]: Simplify PI into PI 37.901 * [taylor]: Taking taylor expansion of n in n 37.901 * [backup-simplify]: Simplify 0 into 0 37.901 * [backup-simplify]: Simplify 1 into 1 37.902 * [backup-simplify]: Simplify (/ PI 1) into PI 37.902 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 37.903 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 37.903 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 37.903 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 37.905 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 37.906 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 37.907 * [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))))) 37.907 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 37.907 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 37.907 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 37.907 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 37.907 * [taylor]: Taking taylor expansion of 1/2 in n 37.907 * [backup-simplify]: Simplify 1/2 into 1/2 37.907 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 37.907 * [taylor]: Taking taylor expansion of (/ 1 k) in n 37.907 * [taylor]: Taking taylor expansion of k in n 37.907 * [backup-simplify]: Simplify k into k 37.907 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 37.907 * [taylor]: Taking taylor expansion of 1 in n 37.907 * [backup-simplify]: Simplify 1 into 1 37.907 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 37.907 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 37.907 * [taylor]: Taking taylor expansion of -2 in n 37.907 * [backup-simplify]: Simplify -2 into -2 37.907 * [taylor]: Taking taylor expansion of (/ PI n) in n 37.907 * [taylor]: Taking taylor expansion of PI in n 37.907 * [backup-simplify]: Simplify PI into PI 37.907 * [taylor]: Taking taylor expansion of n in n 37.907 * [backup-simplify]: Simplify 0 into 0 37.907 * [backup-simplify]: Simplify 1 into 1 37.908 * [backup-simplify]: Simplify (/ PI 1) into PI 37.908 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 37.909 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 37.909 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 37.909 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 37.911 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 37.912 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 37.913 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 37.913 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 37.913 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 37.913 * [taylor]: Taking taylor expansion of 1/2 in k 37.913 * [backup-simplify]: Simplify 1/2 into 1/2 37.913 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 37.913 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 37.913 * [taylor]: Taking taylor expansion of (/ 1 k) in k 37.913 * [taylor]: Taking taylor expansion of k in k 37.913 * [backup-simplify]: Simplify 0 into 0 37.913 * [backup-simplify]: Simplify 1 into 1 37.914 * [backup-simplify]: Simplify (/ 1 1) into 1 37.914 * [taylor]: Taking taylor expansion of 1 in k 37.914 * [backup-simplify]: Simplify 1 into 1 37.914 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 37.914 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 37.914 * [taylor]: Taking taylor expansion of (* -2 PI) in k 37.914 * [taylor]: Taking taylor expansion of -2 in k 37.914 * [backup-simplify]: Simplify -2 into -2 37.914 * [taylor]: Taking taylor expansion of PI in k 37.914 * [backup-simplify]: Simplify PI into PI 37.914 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 37.915 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 37.915 * [taylor]: Taking taylor expansion of (log n) in k 37.915 * [taylor]: Taking taylor expansion of n in k 37.915 * [backup-simplify]: Simplify n into n 37.915 * [backup-simplify]: Simplify (log n) into (log n) 37.916 * [backup-simplify]: Simplify (+ 1 0) into 1 37.916 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 37.917 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 37.918 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 37.919 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 37.920 * [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))))) 37.921 * [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))))) 37.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 37.923 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 37.925 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 37.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 37.925 * [backup-simplify]: Simplify (+ 0 0) into 0 37.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 37.927 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 37.928 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 37.930 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 37.930 * [taylor]: Taking taylor expansion of 0 in k 37.930 * [backup-simplify]: Simplify 0 into 0 37.930 * [backup-simplify]: Simplify 0 into 0 37.930 * [backup-simplify]: Simplify 0 into 0 37.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.932 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 37.936 * [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 37.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 37.936 * [backup-simplify]: Simplify (+ 0 0) into 0 37.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 37.938 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 37.940 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 37.942 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 37.942 * [taylor]: Taking taylor expansion of 0 in k 37.942 * [backup-simplify]: Simplify 0 into 0 37.942 * [backup-simplify]: Simplify 0 into 0 37.942 * [backup-simplify]: Simplify 0 into 0 37.943 * [backup-simplify]: Simplify 0 into 0 37.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.945 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 37.951 * [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 37.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 37.951 * [backup-simplify]: Simplify (+ 0 0) into 0 37.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 37.954 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 37.962 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 37.965 * [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 37.965 * [taylor]: Taking taylor expansion of 0 in k 37.965 * [backup-simplify]: Simplify 0 into 0 37.965 * [backup-simplify]: Simplify 0 into 0 37.966 * [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)))))) 37.967 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 37.967 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 37.967 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 37.967 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 37.967 * [taylor]: Taking taylor expansion of 2 in n 37.967 * [backup-simplify]: Simplify 2 into 2 37.967 * [taylor]: Taking taylor expansion of (* n PI) in n 37.967 * [taylor]: Taking taylor expansion of n in n 37.967 * [backup-simplify]: Simplify 0 into 0 37.967 * [backup-simplify]: Simplify 1 into 1 37.967 * [taylor]: Taking taylor expansion of PI in n 37.967 * [backup-simplify]: Simplify PI into PI 37.967 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 37.967 * [taylor]: Taking taylor expansion of 2 in n 37.967 * [backup-simplify]: Simplify 2 into 2 37.967 * [taylor]: Taking taylor expansion of (* n PI) in n 37.968 * [taylor]: Taking taylor expansion of n in n 37.968 * [backup-simplify]: Simplify 0 into 0 37.968 * [backup-simplify]: Simplify 1 into 1 37.968 * [taylor]: Taking taylor expansion of PI in n 37.968 * [backup-simplify]: Simplify PI into PI 37.968 * [backup-simplify]: Simplify (* 0 PI) into 0 37.969 * [backup-simplify]: Simplify (* 2 0) into 0 37.969 * [backup-simplify]: Simplify 0 into 0 37.970 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 37.972 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 37.972 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 37.973 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 37.974 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 37.974 * [backup-simplify]: Simplify 0 into 0 37.975 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 37.976 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 37.977 * [backup-simplify]: Simplify 0 into 0 37.978 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 37.979 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 37.979 * [backup-simplify]: Simplify 0 into 0 37.981 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 37.982 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 37.982 * [backup-simplify]: Simplify 0 into 0 37.984 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 37.985 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 37.985 * [backup-simplify]: Simplify 0 into 0 37.987 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 37.990 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 37.990 * [backup-simplify]: Simplify 0 into 0 37.990 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 37.991 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 37.991 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 37.991 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 37.991 * [taylor]: Taking taylor expansion of 2 in n 37.991 * [backup-simplify]: Simplify 2 into 2 37.991 * [taylor]: Taking taylor expansion of (/ PI n) in n 37.991 * [taylor]: Taking taylor expansion of PI in n 37.991 * [backup-simplify]: Simplify PI into PI 37.991 * [taylor]: Taking taylor expansion of n in n 37.991 * [backup-simplify]: Simplify 0 into 0 37.991 * [backup-simplify]: Simplify 1 into 1 37.992 * [backup-simplify]: Simplify (/ PI 1) into PI 37.992 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 37.992 * [taylor]: Taking taylor expansion of 2 in n 37.992 * [backup-simplify]: Simplify 2 into 2 37.992 * [taylor]: Taking taylor expansion of (/ PI n) in n 37.992 * [taylor]: Taking taylor expansion of PI in n 37.992 * [backup-simplify]: Simplify PI into PI 37.992 * [taylor]: Taking taylor expansion of n in n 37.992 * [backup-simplify]: Simplify 0 into 0 37.992 * [backup-simplify]: Simplify 1 into 1 37.992 * [backup-simplify]: Simplify (/ PI 1) into PI 37.993 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 37.993 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 37.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 37.995 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 37.995 * [backup-simplify]: Simplify 0 into 0 37.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.997 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 37.997 * [backup-simplify]: Simplify 0 into 0 37.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.999 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 37.999 * [backup-simplify]: Simplify 0 into 0 38.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 38.002 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 38.002 * [backup-simplify]: Simplify 0 into 0 38.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 38.005 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 38.005 * [backup-simplify]: Simplify 0 into 0 38.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 38.008 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 38.008 * [backup-simplify]: Simplify 0 into 0 38.008 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 38.009 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 38.009 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 38.009 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 38.009 * [taylor]: Taking taylor expansion of -2 in n 38.009 * [backup-simplify]: Simplify -2 into -2 38.009 * [taylor]: Taking taylor expansion of (/ PI n) in n 38.009 * [taylor]: Taking taylor expansion of PI in n 38.009 * [backup-simplify]: Simplify PI into PI 38.009 * [taylor]: Taking taylor expansion of n in n 38.009 * [backup-simplify]: Simplify 0 into 0 38.009 * [backup-simplify]: Simplify 1 into 1 38.010 * [backup-simplify]: Simplify (/ PI 1) into PI 38.010 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 38.010 * [taylor]: Taking taylor expansion of -2 in n 38.010 * [backup-simplify]: Simplify -2 into -2 38.010 * [taylor]: Taking taylor expansion of (/ PI n) in n 38.010 * [taylor]: Taking taylor expansion of PI in n 38.010 * [backup-simplify]: Simplify PI into PI 38.010 * [taylor]: Taking taylor expansion of n in n 38.010 * [backup-simplify]: Simplify 0 into 0 38.010 * [backup-simplify]: Simplify 1 into 1 38.011 * [backup-simplify]: Simplify (/ PI 1) into PI 38.011 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 38.012 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 38.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 38.013 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 38.013 * [backup-simplify]: Simplify 0 into 0 38.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 38.015 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 38.015 * [backup-simplify]: Simplify 0 into 0 38.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 38.018 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 38.018 * [backup-simplify]: Simplify 0 into 0 38.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 38.020 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 38.020 * [backup-simplify]: Simplify 0 into 0 38.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 38.023 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 38.023 * [backup-simplify]: Simplify 0 into 0 38.024 * [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 38.026 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 38.026 * [backup-simplify]: Simplify 0 into 0 38.026 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 38.026 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 38.027 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 38.027 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 38.027 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 38.027 * [taylor]: Taking taylor expansion of 2 in n 38.027 * [backup-simplify]: Simplify 2 into 2 38.027 * [taylor]: Taking taylor expansion of (* n PI) in n 38.027 * [taylor]: Taking taylor expansion of n in n 38.027 * [backup-simplify]: Simplify 0 into 0 38.027 * [backup-simplify]: Simplify 1 into 1 38.027 * [taylor]: Taking taylor expansion of PI in n 38.027 * [backup-simplify]: Simplify PI into PI 38.027 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 38.027 * [taylor]: Taking taylor expansion of 2 in n 38.027 * [backup-simplify]: Simplify 2 into 2 38.027 * [taylor]: Taking taylor expansion of (* n PI) in n 38.027 * [taylor]: Taking taylor expansion of n in n 38.027 * [backup-simplify]: Simplify 0 into 0 38.027 * [backup-simplify]: Simplify 1 into 1 38.027 * [taylor]: Taking taylor expansion of PI in n 38.027 * [backup-simplify]: Simplify PI into PI 38.028 * [backup-simplify]: Simplify (* 0 PI) into 0 38.028 * [backup-simplify]: Simplify (* 2 0) into 0 38.028 * [backup-simplify]: Simplify 0 into 0 38.030 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 38.031 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 38.032 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 38.033 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 38.034 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 38.034 * [backup-simplify]: Simplify 0 into 0 38.035 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 38.036 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 38.036 * [backup-simplify]: Simplify 0 into 0 38.038 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 38.039 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 38.039 * [backup-simplify]: Simplify 0 into 0 38.041 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 38.042 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 38.042 * [backup-simplify]: Simplify 0 into 0 38.044 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 38.046 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 38.046 * [backup-simplify]: Simplify 0 into 0 38.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 38.050 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 38.050 * [backup-simplify]: Simplify 0 into 0 38.051 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 38.051 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 38.051 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 38.051 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 38.051 * [taylor]: Taking taylor expansion of 2 in n 38.051 * [backup-simplify]: Simplify 2 into 2 38.051 * [taylor]: Taking taylor expansion of (/ PI n) in n 38.051 * [taylor]: Taking taylor expansion of PI in n 38.051 * [backup-simplify]: Simplify PI into PI 38.051 * [taylor]: Taking taylor expansion of n in n 38.051 * [backup-simplify]: Simplify 0 into 0 38.051 * [backup-simplify]: Simplify 1 into 1 38.052 * [backup-simplify]: Simplify (/ PI 1) into PI 38.052 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 38.052 * [taylor]: Taking taylor expansion of 2 in n 38.052 * [backup-simplify]: Simplify 2 into 2 38.052 * [taylor]: Taking taylor expansion of (/ PI n) in n 38.052 * [taylor]: Taking taylor expansion of PI in n 38.052 * [backup-simplify]: Simplify PI into PI 38.052 * [taylor]: Taking taylor expansion of n in n 38.052 * [backup-simplify]: Simplify 0 into 0 38.052 * [backup-simplify]: Simplify 1 into 1 38.053 * [backup-simplify]: Simplify (/ PI 1) into PI 38.053 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 38.054 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 38.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 38.055 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 38.055 * [backup-simplify]: Simplify 0 into 0 38.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 38.057 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 38.057 * [backup-simplify]: Simplify 0 into 0 38.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 38.060 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 38.060 * [backup-simplify]: Simplify 0 into 0 38.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 38.062 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 38.062 * [backup-simplify]: Simplify 0 into 0 38.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 38.065 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 38.065 * [backup-simplify]: Simplify 0 into 0 38.066 * [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 38.068 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 38.068 * [backup-simplify]: Simplify 0 into 0 38.068 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 38.069 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 38.069 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 38.069 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 38.069 * [taylor]: Taking taylor expansion of -2 in n 38.069 * [backup-simplify]: Simplify -2 into -2 38.069 * [taylor]: Taking taylor expansion of (/ PI n) in n 38.069 * [taylor]: Taking taylor expansion of PI in n 38.069 * [backup-simplify]: Simplify PI into PI 38.069 * [taylor]: Taking taylor expansion of n in n 38.069 * [backup-simplify]: Simplify 0 into 0 38.069 * [backup-simplify]: Simplify 1 into 1 38.070 * [backup-simplify]: Simplify (/ PI 1) into PI 38.070 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 38.070 * [taylor]: Taking taylor expansion of -2 in n 38.070 * [backup-simplify]: Simplify -2 into -2 38.070 * [taylor]: Taking taylor expansion of (/ PI n) in n 38.070 * [taylor]: Taking taylor expansion of PI in n 38.070 * [backup-simplify]: Simplify PI into PI 38.070 * [taylor]: Taking taylor expansion of n in n 38.070 * [backup-simplify]: Simplify 0 into 0 38.070 * [backup-simplify]: Simplify 1 into 1 38.071 * [backup-simplify]: Simplify (/ PI 1) into PI 38.071 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 38.072 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 38.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 38.073 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 38.073 * [backup-simplify]: Simplify 0 into 0 38.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 38.075 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 38.075 * [backup-simplify]: Simplify 0 into 0 38.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 38.077 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 38.077 * [backup-simplify]: Simplify 0 into 0 38.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 38.080 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 38.080 * [backup-simplify]: Simplify 0 into 0 38.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 38.082 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 38.082 * [backup-simplify]: Simplify 0 into 0 38.083 * [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 38.085 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 38.085 * [backup-simplify]: Simplify 0 into 0 38.086 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 38.086 * * * [progress]: simplifying candidates 38.086 * * * * [progress]: [ 1 / 138 ] simplifiying candidate # 38.086 * * * * [progress]: [ 2 / 138 ] simplifiying candidate # 38.086 * * * * [progress]: [ 3 / 138 ] simplifiying candidate # 38.086 * [simplify]: Simplifying (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)) 38.086 * * [simplify]: iters left: 6 (13 enodes) 38.094 * * [simplify]: iters left: 5 (54 enodes) 38.119 * * [simplify]: iters left: 4 (97 enodes) 38.161 * * [simplify]: iters left: 3 (254 enodes) 38.281 * * [simplify]: Extracting #0: cost 1 inf + 0 38.281 * * [simplify]: Extracting #1: cost 34 inf + 0 38.281 * * [simplify]: Extracting #2: cost 101 inf + 73 38.282 * * [simplify]: Extracting #3: cost 129 inf + 1240 38.284 * * [simplify]: Extracting #4: cost 60 inf + 15084 38.291 * * [simplify]: Extracting #5: cost 5 inf + 32052 38.298 * * [simplify]: Extracting #6: cost 0 inf + 33789 38.307 * [simplify]: Simplified to (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) 38.308 * [simplify]: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (exp (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)))))) 38.308 * * * * [progress]: [ 4 / 138 ] simplifiying candidate # 38.308 * [simplify]: Simplifying (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) 38.308 * * [simplify]: iters left: 6 (12 enodes) 38.316 * * [simplify]: iters left: 5 (52 enodes) 38.333 * * [simplify]: iters left: 4 (90 enodes) 38.351 * * [simplify]: iters left: 3 (207 enodes) 38.444 * * [simplify]: Extracting #0: cost 1 inf + 0 38.444 * * [simplify]: Extracting #1: cost 29 inf + 0 38.445 * * [simplify]: Extracting #2: cost 88 inf + 73 38.445 * * [simplify]: Extracting #3: cost 116 inf + 695 38.446 * * [simplify]: Extracting #4: cost 70 inf + 7498 38.450 * * [simplify]: Extracting #5: cost 27 inf + 17445 38.460 * * [simplify]: Extracting #6: cost 1 inf + 25793 38.469 * * [simplify]: Extracting #7: cost 0 inf + 26056 38.475 * [simplify]: Simplified to (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2) 38.475 * [simplify]: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (exp (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2)))))) 38.475 * * * * [progress]: [ 5 / 138 ] simplifiying candidate # 38.475 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 38.475 * * [simplify]: iters left: 6 (11 enodes) 38.479 * * [simplify]: iters left: 5 (51 enodes) 38.488 * * [simplify]: iters left: 4 (97 enodes) 38.511 * * [simplify]: iters left: 3 (202 enodes) 38.589 * * [simplify]: Extracting #0: cost 1 inf + 0 38.590 * * [simplify]: Extracting #1: cost 31 inf + 0 38.590 * * [simplify]: Extracting #2: cost 93 inf + 2 38.591 * * [simplify]: Extracting #3: cost 128 inf + 201 38.593 * * [simplify]: Extracting #4: cost 93 inf + 4096 38.600 * * [simplify]: Extracting #5: cost 18 inf + 20213 38.610 * * [simplify]: Extracting #6: cost 0 inf + 24488 38.621 * * [simplify]: Extracting #7: cost 0 inf + 24378 38.632 * [simplify]: Simplified to (/ (- (log (* (* n 2) PI)) (* k (log (* (* n 2) PI)))) 2) 38.632 * [simplify]: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (exp (/ (- (log (* (* n 2) PI)) (* k (log (* (* n 2) PI)))) 2)))))) 38.632 * * * * [progress]: [ 6 / 138 ] simplifiying candidate # 38.632 * * * * [progress]: [ 7 / 138 ] simplifiying candidate # 38.632 * [simplify]: Simplifying (* (* 2 PI) n) 38.633 * * [simplify]: iters left: 4 (5 enodes) 38.636 * * [simplify]: iters left: 3 (19 enodes) 38.643 * * [simplify]: iters left: 2 (27 enodes) 38.647 * * [simplify]: iters left: 1 (32 enodes) 38.651 * * [simplify]: Extracting #0: cost 1 inf + 0 38.651 * * [simplify]: Extracting #1: cost 8 inf + 0 38.651 * * [simplify]: Extracting #2: cost 7 inf + 45 38.652 * * [simplify]: Extracting #3: cost 0 inf + 421 38.652 * [simplify]: Simplified to (* (* 2 PI) n) 38.652 * [simplify]: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))))) 38.652 * * * * [progress]: [ 8 / 138 ] simplifiying candidate # 38.652 * [simplify]: Simplifying (* (* 2 PI) n) 38.652 * * [simplify]: iters left: 4 (5 enodes) 38.654 * * [simplify]: iters left: 3 (19 enodes) 38.657 * * [simplify]: iters left: 2 (27 enodes) 38.661 * * [simplify]: iters left: 1 (32 enodes) 38.665 * * [simplify]: Extracting #0: cost 1 inf + 0 38.665 * * [simplify]: Extracting #1: cost 8 inf + 0 38.665 * * [simplify]: Extracting #2: cost 7 inf + 45 38.666 * * [simplify]: Extracting #3: cost 0 inf + 421 38.666 * [simplify]: Simplified to (* (* 2 PI) n) 38.666 * [simplify]: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))))) 38.666 * * * * [progress]: [ 9 / 138 ] simplifiying candidate # 38.666 * [simplify]: Simplifying (* (* 2 PI) n) 38.666 * * [simplify]: iters left: 4 (5 enodes) 38.668 * * [simplify]: iters left: 3 (19 enodes) 38.671 * * [simplify]: iters left: 2 (27 enodes) 38.679 * * [simplify]: iters left: 1 (32 enodes) 38.688 * * [simplify]: Extracting #0: cost 1 inf + 0 38.688 * * [simplify]: Extracting #1: cost 8 inf + 0 38.688 * * [simplify]: Extracting #2: cost 7 inf + 45 38.688 * * [simplify]: Extracting #3: cost 0 inf + 421 38.689 * [simplify]: Simplified to (* (* 2 PI) n) 38.689 * [simplify]: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))))) 38.689 * * * * [progress]: [ 10 / 138 ] simplifiying candidate # 38.689 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 38.689 * * [simplify]: iters left: 5 (8 enodes) 38.693 * * [simplify]: iters left: 4 (31 enodes) 38.704 * * [simplify]: iters left: 3 (51 enodes) 38.720 * * [simplify]: iters left: 2 (85 enodes) 38.750 * * [simplify]: iters left: 1 (152 enodes) 38.792 * * [simplify]: Extracting #0: cost 1 inf + 0 38.792 * * [simplify]: Extracting #1: cost 13 inf + 0 38.792 * * [simplify]: Extracting #2: cost 60 inf + 1 38.793 * * [simplify]: Extracting #3: cost 76 inf + 51 38.793 * * [simplify]: Extracting #4: cost 44 inf + 2846 38.795 * * [simplify]: Extracting #5: cost 21 inf + 7590 38.800 * * [simplify]: Extracting #6: cost 1 inf + 20687 38.806 * * [simplify]: Extracting #7: cost 0 inf + 20539 38.811 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 38.811 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))))) 38.811 * * * * [progress]: [ 11 / 138 ] simplifiying candidate # 38.812 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 38.812 * * [simplify]: iters left: 5 (6 enodes) 38.816 * * [simplify]: iters left: 4 (26 enodes) 38.826 * * [simplify]: iters left: 3 (35 enodes) 38.836 * * [simplify]: Extracting #0: cost 1 inf + 0 38.836 * * [simplify]: Extracting #1: cost 3 inf + 0 38.836 * * [simplify]: Extracting #2: cost 8 inf + 0 38.836 * * [simplify]: Extracting #3: cost 11 inf + 2 38.836 * * [simplify]: Extracting #4: cost 8 inf + 87 38.837 * * [simplify]: Extracting #5: cost 2 inf + 500 38.837 * * [simplify]: Extracting #6: cost 0 inf + 746 38.837 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 38.837 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))))) 38.838 * * * * [progress]: [ 12 / 138 ] simplifiying candidate # 38.838 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 38.838 * * [simplify]: iters left: 5 (6 enodes) 38.842 * * [simplify]: iters left: 4 (26 enodes) 38.849 * * [simplify]: iters left: 3 (35 enodes) 38.854 * * [simplify]: Extracting #0: cost 1 inf + 0 38.854 * * [simplify]: Extracting #1: cost 3 inf + 0 38.854 * * [simplify]: Extracting #2: cost 8 inf + 0 38.854 * * [simplify]: Extracting #3: cost 11 inf + 2 38.854 * * [simplify]: Extracting #4: cost 8 inf + 87 38.854 * * [simplify]: Extracting #5: cost 2 inf + 460 38.855 * * [simplify]: Extracting #6: cost 0 inf + 666 38.855 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 38.855 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))))) 38.855 * * * * [progress]: [ 13 / 138 ] simplifiying candidate # 38.855 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 38.855 * * [simplify]: iters left: 5 (7 enodes) 38.857 * * [simplify]: iters left: 4 (25 enodes) 38.862 * * [simplify]: iters left: 3 (30 enodes) 38.867 * * [simplify]: Extracting #0: cost 1 inf + 0 38.867 * * [simplify]: Extracting #1: cost 4 inf + 0 38.867 * * [simplify]: Extracting #2: cost 8 inf + 0 38.867 * * [simplify]: Extracting #3: cost 10 inf + 82 38.867 * * [simplify]: Extracting #4: cost 7 inf + 206 38.867 * * [simplify]: Extracting #5: cost 2 inf + 575 38.867 * * [simplify]: Extracting #6: cost 1 inf + 818 38.868 * * [simplify]: Extracting #7: cost 0 inf + 1061 38.868 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 38.868 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))))) 38.868 * * * * [progress]: [ 14 / 138 ] simplifiying candidate # 38.868 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 38.868 * * [simplify]: iters left: 5 (7 enodes) 38.870 * * [simplify]: iters left: 4 (25 enodes) 38.877 * * [simplify]: iters left: 3 (30 enodes) 38.886 * * [simplify]: Extracting #0: cost 1 inf + 0 38.887 * * [simplify]: Extracting #1: cost 4 inf + 0 38.887 * * [simplify]: Extracting #2: cost 8 inf + 0 38.887 * * [simplify]: Extracting #3: cost 10 inf + 42 38.887 * * [simplify]: Extracting #4: cost 7 inf + 126 38.887 * * [simplify]: Extracting #5: cost 2 inf + 495 38.887 * * [simplify]: Extracting #6: cost 1 inf + 698 38.888 * * [simplify]: Extracting #7: cost 0 inf + 901 38.888 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 38.888 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))))) 38.888 * * * * [progress]: [ 15 / 138 ] simplifiying candidate # 38.889 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 38.889 * * [simplify]: iters left: 5 (6 enodes) 38.892 * * [simplify]: iters left: 4 (22 enodes) 38.900 * * [simplify]: iters left: 3 (27 enodes) 38.908 * * [simplify]: Extracting #0: cost 1 inf + 0 38.908 * * [simplify]: Extracting #1: cost 4 inf + 0 38.908 * * [simplify]: Extracting #2: cost 5 inf + 1 38.908 * * [simplify]: Extracting #3: cost 9 inf + 1 38.908 * * [simplify]: Extracting #4: cost 8 inf + 3 38.909 * * [simplify]: Extracting #5: cost 4 inf + 169 38.909 * * [simplify]: Extracting #6: cost 1 inf + 576 38.909 * * [simplify]: Extracting #7: cost 0 inf + 739 38.909 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 38.909 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))))) 38.910 * * * * [progress]: [ 16 / 138 ] simplifiying candidate # 38.910 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 38.910 * * [simplify]: iters left: 5 (7 enodes) 38.914 * * [simplify]: iters left: 4 (25 enodes) 38.923 * * [simplify]: iters left: 3 (30 enodes) 38.932 * * [simplify]: Extracting #0: cost 1 inf + 0 38.932 * * [simplify]: Extracting #1: cost 4 inf + 0 38.932 * * [simplify]: Extracting #2: cost 8 inf + 0 38.932 * * [simplify]: Extracting #3: cost 10 inf + 82 38.932 * * [simplify]: Extracting #4: cost 7 inf + 206 38.933 * * [simplify]: Extracting #5: cost 2 inf + 495 38.933 * * [simplify]: Extracting #6: cost 1 inf + 698 38.933 * * [simplify]: Extracting #7: cost 0 inf + 901 38.934 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 38.934 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))))) 38.934 * * * * [progress]: [ 17 / 138 ] simplifiying candidate # 38.934 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 38.934 * * [simplify]: iters left: 5 (7 enodes) 38.937 * * [simplify]: iters left: 4 (25 enodes) 38.941 * * [simplify]: iters left: 3 (30 enodes) 38.946 * * [simplify]: Extracting #0: cost 1 inf + 0 38.946 * * [simplify]: Extracting #1: cost 4 inf + 0 38.946 * * [simplify]: Extracting #2: cost 8 inf + 0 38.946 * * [simplify]: Extracting #3: cost 10 inf + 42 38.946 * * [simplify]: Extracting #4: cost 7 inf + 126 38.946 * * [simplify]: Extracting #5: cost 2 inf + 415 38.947 * * [simplify]: Extracting #6: cost 1 inf + 578 38.947 * * [simplify]: Extracting #7: cost 0 inf + 741 38.947 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 38.947 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))))) 38.947 * * * * [progress]: [ 18 / 138 ] simplifiying candidate # 38.947 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 38.947 * * [simplify]: iters left: 5 (6 enodes) 38.949 * * [simplify]: iters left: 4 (22 enodes) 38.953 * * [simplify]: iters left: 3 (27 enodes) 38.957 * * [simplify]: Extracting #0: cost 1 inf + 0 38.957 * * [simplify]: Extracting #1: cost 4 inf + 0 38.957 * * [simplify]: Extracting #2: cost 5 inf + 1 38.957 * * [simplify]: Extracting #3: cost 9 inf + 1 38.957 * * [simplify]: Extracting #4: cost 8 inf + 3 38.957 * * [simplify]: Extracting #5: cost 4 inf + 169 38.958 * * [simplify]: Extracting #6: cost 1 inf + 456 38.958 * * [simplify]: Extracting #7: cost 0 inf + 579 38.958 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 38.958 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))))) 38.958 * * * * [progress]: [ 19 / 138 ] simplifiying candidate # 38.958 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 38.958 * * [simplify]: iters left: 4 (6 enodes) 38.960 * * [simplify]: iters left: 3 (25 enodes) 38.965 * * [simplify]: iters left: 2 (36 enodes) 38.971 * * [simplify]: iters left: 1 (40 enodes) 38.983 * * [simplify]: Extracting #0: cost 1 inf + 0 38.983 * * [simplify]: Extracting #1: cost 7 inf + 0 38.983 * * [simplify]: Extracting #2: cost 16 inf + 0 38.983 * * [simplify]: Extracting #3: cost 13 inf + 44 38.983 * * [simplify]: Extracting #4: cost 3 inf + 1103 38.984 * * [simplify]: Extracting #5: cost 0 inf + 1469 38.984 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 38.984 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))))) 38.985 * * * * [progress]: [ 20 / 138 ] simplifiying candidate # 38.985 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 38.985 * * [simplify]: iters left: 4 (6 enodes) 38.990 * * [simplify]: iters left: 3 (25 enodes) 39.001 * * [simplify]: iters left: 2 (36 enodes) 39.012 * * [simplify]: iters left: 1 (40 enodes) 39.024 * * [simplify]: Extracting #0: cost 1 inf + 0 39.024 * * [simplify]: Extracting #1: cost 7 inf + 0 39.024 * * [simplify]: Extracting #2: cost 16 inf + 0 39.024 * * [simplify]: Extracting #3: cost 13 inf + 44 39.024 * * [simplify]: Extracting #4: cost 3 inf + 823 39.025 * * [simplify]: Extracting #5: cost 0 inf + 1069 39.025 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 39.025 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))))) 39.026 * * * * [progress]: [ 21 / 138 ] simplifiying candidate # 39.026 * [simplify]: Simplifying (/ (- 1 k) 2) 39.026 * * [simplify]: iters left: 4 (5 enodes) 39.030 * * [simplify]: iters left: 3 (23 enodes) 39.038 * * [simplify]: iters left: 2 (32 enodes) 39.047 * * [simplify]: Extracting #0: cost 1 inf + 0 39.047 * * [simplify]: Extracting #1: cost 6 inf + 0 39.048 * * [simplify]: Extracting #2: cost 9 inf + 2 39.048 * * [simplify]: Extracting #3: cost 6 inf + 87 39.048 * * [simplify]: Extracting #4: cost 0 inf + 420 39.048 * [simplify]: Simplified to (/ (- 1 k) 2) 39.048 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))))) 39.048 * * * * [progress]: [ 22 / 138 ] simplifiying candidate # 39.049 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 39.049 * * [simplify]: iters left: 5 (8 enodes) 39.054 * * [simplify]: iters left: 4 (31 enodes) 39.063 * * [simplify]: iters left: 3 (45 enodes) 39.070 * * [simplify]: iters left: 2 (51 enodes) 39.077 * * [simplify]: iters left: 1 (52 enodes) 39.085 * * [simplify]: Extracting #0: cost 1 inf + 0 39.085 * * [simplify]: Extracting #1: cost 8 inf + 0 39.085 * * [simplify]: Extracting #2: cost 18 inf + 0 39.085 * * [simplify]: Extracting #3: cost 19 inf + 2 39.085 * * [simplify]: Extracting #4: cost 9 inf + 977 39.085 * * [simplify]: Extracting #5: cost 2 inf + 1790 39.086 * * [simplify]: Extracting #6: cost 0 inf + 2195 39.086 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 39.086 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))))) 39.086 * * * * [progress]: [ 23 / 138 ] simplifiying candidate # 39.086 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 39.086 * * [simplify]: iters left: 5 (8 enodes) 39.089 * * [simplify]: iters left: 4 (31 enodes) 39.095 * * [simplify]: iters left: 3 (45 enodes) 39.104 * * [simplify]: iters left: 2 (51 enodes) 39.121 * * [simplify]: iters left: 1 (52 enodes) 39.135 * * [simplify]: Extracting #0: cost 1 inf + 0 39.136 * * [simplify]: Extracting #1: cost 8 inf + 0 39.136 * * [simplify]: Extracting #2: cost 18 inf + 0 39.136 * * [simplify]: Extracting #3: cost 19 inf + 2 39.136 * * [simplify]: Extracting #4: cost 9 inf + 697 39.137 * * [simplify]: Extracting #5: cost 2 inf + 1390 39.138 * * [simplify]: Extracting #6: cost 0 inf + 1715 39.138 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 39.138 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))))) 39.139 * * * * [progress]: [ 24 / 138 ] simplifiying candidate # 39.139 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 39.139 * * [simplify]: iters left: 5 (7 enodes) 39.144 * * [simplify]: iters left: 4 (29 enodes) 39.154 * * [simplify]: iters left: 3 (43 enodes) 39.166 * * [simplify]: iters left: 2 (47 enodes) 39.177 * * [simplify]: Extracting #0: cost 1 inf + 0 39.177 * * [simplify]: Extracting #1: cost 7 inf + 0 39.177 * * [simplify]: Extracting #2: cost 11 inf + 2 39.178 * * [simplify]: Extracting #3: cost 13 inf + 3 39.178 * * [simplify]: Extracting #4: cost 11 inf + 45 39.178 * * [simplify]: Extracting #5: cost 0 inf + 1066 39.178 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 39.179 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 39.179 * * * * [progress]: [ 25 / 138 ] simplifiying candidate # 39.179 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 39.179 * * [simplify]: iters left: 5 (7 enodes) 39.184 * * [simplify]: iters left: 4 (28 enodes) 39.194 * * [simplify]: iters left: 3 (39 enodes) 39.206 * * [simplify]: iters left: 2 (43 enodes) 39.218 * * [simplify]: Extracting #0: cost 1 inf + 0 39.218 * * [simplify]: Extracting #1: cost 7 inf + 0 39.218 * * [simplify]: Extracting #2: cost 16 inf + 0 39.218 * * [simplify]: Extracting #3: cost 15 inf + 164 39.218 * * [simplify]: Extracting #4: cost 13 inf + 287 39.219 * * [simplify]: Extracting #5: cost 5 inf + 1180 39.219 * * [simplify]: Extracting #6: cost 0 inf + 1951 39.220 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 39.220 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))))) 39.220 * * * * [progress]: [ 26 / 138 ] simplifiying candidate # 39.220 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 39.220 * * [simplify]: iters left: 5 (7 enodes) 39.225 * * [simplify]: iters left: 4 (28 enodes) 39.235 * * [simplify]: iters left: 3 (39 enodes) 39.247 * * [simplify]: iters left: 2 (43 enodes) 39.259 * * [simplify]: Extracting #0: cost 1 inf + 0 39.259 * * [simplify]: Extracting #1: cost 7 inf + 0 39.259 * * [simplify]: Extracting #2: cost 16 inf + 0 39.260 * * [simplify]: Extracting #3: cost 15 inf + 84 39.260 * * [simplify]: Extracting #4: cost 13 inf + 167 39.260 * * [simplify]: Extracting #5: cost 5 inf + 900 39.261 * * [simplify]: Extracting #6: cost 0 inf + 1551 39.261 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 39.261 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))))) 39.262 * * * * [progress]: [ 27 / 138 ] simplifiying candidate # 39.262 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 39.262 * * [simplify]: iters left: 5 (6 enodes) 39.266 * * [simplify]: iters left: 4 (26 enodes) 39.278 * * [simplify]: iters left: 3 (35 enodes) 39.289 * * [simplify]: Extracting #0: cost 1 inf + 0 39.289 * * [simplify]: Extracting #1: cost 6 inf + 0 39.289 * * [simplify]: Extracting #2: cost 9 inf + 2 39.289 * * [simplify]: Extracting #3: cost 11 inf + 3 39.289 * * [simplify]: Extracting #4: cost 10 inf + 4 39.289 * * [simplify]: Extracting #5: cost 3 inf + 535 39.290 * * [simplify]: Extracting #6: cost 0 inf + 822 39.290 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 39.290 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 39.290 * * * * [progress]: [ 28 / 138 ] simplifiying candidate # 39.291 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 39.291 * * [simplify]: iters left: 4 (6 enodes) 39.295 * * [simplify]: iters left: 3 (25 enodes) 39.303 * * [simplify]: iters left: 2 (36 enodes) 39.314 * * [simplify]: iters left: 1 (40 enodes) 39.326 * * [simplify]: Extracting #0: cost 1 inf + 0 39.326 * * [simplify]: Extracting #1: cost 7 inf + 0 39.326 * * [simplify]: Extracting #2: cost 16 inf + 0 39.326 * * [simplify]: Extracting #3: cost 13 inf + 44 39.327 * * [simplify]: Extracting #4: cost 3 inf + 1103 39.327 * * [simplify]: Extracting #5: cost 0 inf + 1469 39.328 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 39.328 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))))) 39.328 * * * * [progress]: [ 29 / 138 ] simplifiying candidate # 39.328 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 39.328 * * [simplify]: iters left: 4 (6 enodes) 39.331 * * [simplify]: iters left: 3 (25 enodes) 39.336 * * [simplify]: iters left: 2 (36 enodes) 39.342 * * [simplify]: iters left: 1 (40 enodes) 39.348 * * [simplify]: Extracting #0: cost 1 inf + 0 39.348 * * [simplify]: Extracting #1: cost 7 inf + 0 39.348 * * [simplify]: Extracting #2: cost 16 inf + 0 39.348 * * [simplify]: Extracting #3: cost 13 inf + 44 39.349 * * [simplify]: Extracting #4: cost 3 inf + 823 39.349 * * [simplify]: Extracting #5: cost 0 inf + 1069 39.349 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 39.349 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))))) 39.349 * * * * [progress]: [ 30 / 138 ] simplifiying candidate # 39.349 * [simplify]: Simplifying (/ (- 1 k) 2) 39.349 * * [simplify]: iters left: 4 (5 enodes) 39.351 * * [simplify]: iters left: 3 (23 enodes) 39.356 * * [simplify]: iters left: 2 (32 enodes) 39.363 * * [simplify]: Extracting #0: cost 1 inf + 0 39.363 * * [simplify]: Extracting #1: cost 6 inf + 0 39.363 * * [simplify]: Extracting #2: cost 9 inf + 2 39.363 * * [simplify]: Extracting #3: cost 6 inf + 87 39.363 * * [simplify]: Extracting #4: cost 0 inf + 420 39.363 * [simplify]: Simplified to (/ (- 1 k) 2) 39.363 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))))) 39.364 * * * * [progress]: [ 31 / 138 ] simplifiying candidate # 39.364 * [simplify]: Simplifying (/ (- 1 k) 2) 39.364 * * [simplify]: iters left: 4 (5 enodes) 39.368 * * [simplify]: iters left: 3 (23 enodes) 39.375 * * [simplify]: iters left: 2 (32 enodes) 39.385 * * [simplify]: Extracting #0: cost 1 inf + 0 39.385 * * [simplify]: Extracting #1: cost 6 inf + 0 39.385 * * [simplify]: Extracting #2: cost 9 inf + 2 39.385 * * [simplify]: Extracting #3: cost 6 inf + 87 39.385 * * [simplify]: Extracting #4: cost 0 inf + 420 39.385 * [simplify]: Simplified to (/ (- 1 k) 2) 39.386 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))))) 39.386 * * * * [progress]: [ 32 / 138 ] simplifiying candidate # 39.386 * [simplify]: Simplifying (/ 1 2) 39.386 * * [simplify]: iters left: 2 (3 enodes) 39.389 * * [simplify]: iters left: 1 (12 enodes) 39.393 * * [simplify]: Extracting #0: cost 1 inf + 0 39.393 * * [simplify]: Extracting #1: cost 0 inf + 1 39.393 * [simplify]: Simplified to 1/2 39.393 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2))))) 39.394 * * * * [progress]: [ 33 / 138 ] simplifiying candidate # 39.394 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 39.394 * * [simplify]: iters left: 5 (8 enodes) 39.399 * * [simplify]: iters left: 4 (36 enodes) 39.416 * * [simplify]: iters left: 3 (57 enodes) 39.429 * * [simplify]: iters left: 2 (90 enodes) 39.451 * * [simplify]: iters left: 1 (176 enodes) 39.520 * * [simplify]: Extracting #0: cost 1 inf + 0 39.520 * * [simplify]: Extracting #1: cost 13 inf + 0 39.521 * * [simplify]: Extracting #2: cost 55 inf + 1 39.521 * * [simplify]: Extracting #3: cost 86 inf + 6 39.522 * * [simplify]: Extracting #4: cost 73 inf + 1511 39.523 * * [simplify]: Extracting #5: cost 26 inf + 9176 39.526 * * [simplify]: Extracting #6: cost 2 inf + 22574 39.532 * * [simplify]: Extracting #7: cost 0 inf + 23644 39.536 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 39.536 * [simplify]: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))))) 39.536 * * * * [progress]: [ 34 / 138 ] simplifiying candidate # 39.536 * * * * [progress]: [ 35 / 138 ] simplifiying candidate # 39.536 * * * * [progress]: [ 36 / 138 ] simplifiying candidate # 39.536 * * * * [progress]: [ 37 / 138 ] simplifiying candidate # 39.536 * * * * [progress]: [ 38 / 138 ] simplifiying candidate # 39.536 * * * * [progress]: [ 39 / 138 ] simplifiying candidate # 39.536 * * * * [progress]: [ 40 / 138 ] simplifiying candidate # 39.536 * * * * [progress]: [ 41 / 138 ] simplifiying candidate # 39.536 * * * * [progress]: [ 42 / 138 ] simplifiying candidate #real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))))> 39.536 * * * * [progress]: [ 43 / 138 ] simplifiying candidate # 39.536 * * * * [progress]: [ 44 / 138 ] simplifiying candidate # 39.536 * * * * [progress]: [ 45 / 138 ] simplifiying candidate # 39.536 * [simplify]: Simplifying (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)) 39.537 * * [simplify]: iters left: 6 (13 enodes) 39.541 * * [simplify]: iters left: 5 (54 enodes) 39.550 * * [simplify]: iters left: 4 (97 enodes) 39.580 * * [simplify]: iters left: 3 (254 enodes) 39.686 * * [simplify]: Extracting #0: cost 1 inf + 0 39.686 * * [simplify]: Extracting #1: cost 34 inf + 0 39.686 * * [simplify]: Extracting #2: cost 101 inf + 73 39.687 * * [simplify]: Extracting #3: cost 129 inf + 1240 39.690 * * [simplify]: Extracting #4: cost 60 inf + 15084 39.696 * * [simplify]: Extracting #5: cost 5 inf + 32052 39.703 * * [simplify]: Extracting #6: cost 0 inf + 33789 39.715 * [simplify]: Simplified to (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) 39.715 * [simplify]: Simplified (2 1 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (exp (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 39.716 * * * * [progress]: [ 46 / 138 ] simplifiying candidate # 39.716 * [simplify]: Simplifying (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) 39.716 * * [simplify]: iters left: 6 (12 enodes) 39.724 * * [simplify]: iters left: 5 (52 enodes) 39.742 * * [simplify]: iters left: 4 (90 enodes) 39.776 * * [simplify]: iters left: 3 (207 enodes) 39.881 * * [simplify]: Extracting #0: cost 1 inf + 0 39.881 * * [simplify]: Extracting #1: cost 29 inf + 0 39.882 * * [simplify]: Extracting #2: cost 88 inf + 73 39.882 * * [simplify]: Extracting #3: cost 116 inf + 695 39.883 * * [simplify]: Extracting #4: cost 70 inf + 7498 39.887 * * [simplify]: Extracting #5: cost 27 inf + 17445 39.892 * * [simplify]: Extracting #6: cost 1 inf + 25793 39.898 * * [simplify]: Extracting #7: cost 0 inf + 26056 39.905 * [simplify]: Simplified to (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2) 39.906 * [simplify]: Simplified (2 1 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (exp (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 39.906 * * * * [progress]: [ 47 / 138 ] simplifiying candidate # 39.906 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 39.906 * * [simplify]: iters left: 6 (11 enodes) 39.913 * * [simplify]: iters left: 5 (51 enodes) 39.930 * * [simplify]: iters left: 4 (97 enodes) 39.953 * * [simplify]: iters left: 3 (202 enodes) 40.026 * * [simplify]: Extracting #0: cost 1 inf + 0 40.026 * * [simplify]: Extracting #1: cost 31 inf + 0 40.026 * * [simplify]: Extracting #2: cost 93 inf + 2 40.027 * * [simplify]: Extracting #3: cost 128 inf + 201 40.029 * * [simplify]: Extracting #4: cost 93 inf + 4096 40.036 * * [simplify]: Extracting #5: cost 18 inf + 20213 40.050 * * [simplify]: Extracting #6: cost 0 inf + 24488 40.061 * * [simplify]: Extracting #7: cost 0 inf + 24378 40.072 * [simplify]: Simplified to (/ (- (log (* (* n 2) PI)) (* k (log (* (* n 2) PI)))) 2) 40.072 * [simplify]: Simplified (2 1 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (exp (/ (- (log (* (* n 2) PI)) (* k (log (* (* n 2) PI)))) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.072 * * * * [progress]: [ 48 / 138 ] simplifiying candidate # 40.072 * * * * [progress]: [ 49 / 138 ] simplifiying candidate # 40.073 * [simplify]: Simplifying (* (* 2 PI) n) 40.073 * * [simplify]: iters left: 4 (5 enodes) 40.076 * * [simplify]: iters left: 3 (19 enodes) 40.082 * * [simplify]: iters left: 2 (27 enodes) 40.090 * * [simplify]: iters left: 1 (32 enodes) 40.098 * * [simplify]: Extracting #0: cost 1 inf + 0 40.098 * * [simplify]: Extracting #1: cost 8 inf + 0 40.098 * * [simplify]: Extracting #2: cost 7 inf + 45 40.098 * * [simplify]: Extracting #3: cost 0 inf + 421 40.099 * [simplify]: Simplified to (* (* 2 PI) n) 40.099 * [simplify]: Simplified (2 1 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.099 * * * * [progress]: [ 50 / 138 ] simplifiying candidate # 40.099 * [simplify]: Simplifying (* (* 2 PI) n) 40.099 * * [simplify]: iters left: 4 (5 enodes) 40.103 * * [simplify]: iters left: 3 (19 enodes) 40.109 * * [simplify]: iters left: 2 (27 enodes) 40.117 * * [simplify]: iters left: 1 (32 enodes) 40.125 * * [simplify]: Extracting #0: cost 1 inf + 0 40.125 * * [simplify]: Extracting #1: cost 8 inf + 0 40.125 * * [simplify]: Extracting #2: cost 7 inf + 45 40.126 * * [simplify]: Extracting #3: cost 0 inf + 421 40.126 * [simplify]: Simplified to (* (* 2 PI) n) 40.126 * [simplify]: Simplified (2 1 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.126 * * * * [progress]: [ 51 / 138 ] simplifiying candidate # 40.127 * [simplify]: Simplifying (* (* 2 PI) n) 40.127 * * [simplify]: iters left: 4 (5 enodes) 40.130 * * [simplify]: iters left: 3 (19 enodes) 40.136 * * [simplify]: iters left: 2 (27 enodes) 40.144 * * [simplify]: iters left: 1 (32 enodes) 40.152 * * [simplify]: Extracting #0: cost 1 inf + 0 40.152 * * [simplify]: Extracting #1: cost 8 inf + 0 40.152 * * [simplify]: Extracting #2: cost 7 inf + 45 40.152 * * [simplify]: Extracting #3: cost 0 inf + 421 40.153 * [simplify]: Simplified to (* (* 2 PI) n) 40.153 * [simplify]: Simplified (2 1 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.153 * * * * [progress]: [ 52 / 138 ] simplifiying candidate # 40.153 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 40.153 * * [simplify]: iters left: 5 (8 enodes) 40.158 * * [simplify]: iters left: 4 (31 enodes) 40.168 * * [simplify]: iters left: 3 (51 enodes) 40.185 * * [simplify]: iters left: 2 (85 enodes) 40.212 * * [simplify]: iters left: 1 (152 enodes) 40.243 * * [simplify]: Extracting #0: cost 1 inf + 0 40.243 * * [simplify]: Extracting #1: cost 13 inf + 0 40.243 * * [simplify]: Extracting #2: cost 60 inf + 1 40.244 * * [simplify]: Extracting #3: cost 76 inf + 51 40.245 * * [simplify]: Extracting #4: cost 44 inf + 2846 40.247 * * [simplify]: Extracting #5: cost 21 inf + 7590 40.252 * * [simplify]: Extracting #6: cost 1 inf + 20687 40.258 * * [simplify]: Extracting #7: cost 0 inf + 20539 40.263 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 40.263 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.264 * * * * [progress]: [ 53 / 138 ] simplifiying candidate # 40.264 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 40.264 * * [simplify]: iters left: 5 (6 enodes) 40.268 * * [simplify]: iters left: 4 (26 enodes) 40.274 * * [simplify]: iters left: 3 (35 enodes) 40.279 * * [simplify]: Extracting #0: cost 1 inf + 0 40.279 * * [simplify]: Extracting #1: cost 3 inf + 0 40.279 * * [simplify]: Extracting #2: cost 8 inf + 0 40.279 * * [simplify]: Extracting #3: cost 11 inf + 2 40.279 * * [simplify]: Extracting #4: cost 8 inf + 87 40.280 * * [simplify]: Extracting #5: cost 2 inf + 500 40.280 * * [simplify]: Extracting #6: cost 0 inf + 746 40.280 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 40.280 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.280 * * * * [progress]: [ 54 / 138 ] simplifiying candidate # 40.280 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 40.280 * * [simplify]: iters left: 5 (6 enodes) 40.283 * * [simplify]: iters left: 4 (26 enodes) 40.287 * * [simplify]: iters left: 3 (35 enodes) 40.295 * * [simplify]: Extracting #0: cost 1 inf + 0 40.296 * * [simplify]: Extracting #1: cost 3 inf + 0 40.296 * * [simplify]: Extracting #2: cost 8 inf + 0 40.296 * * [simplify]: Extracting #3: cost 11 inf + 2 40.296 * * [simplify]: Extracting #4: cost 8 inf + 87 40.296 * * [simplify]: Extracting #5: cost 2 inf + 460 40.296 * * [simplify]: Extracting #6: cost 0 inf + 666 40.296 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 40.296 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.296 * * * * [progress]: [ 55 / 138 ] simplifiying candidate # 40.297 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 40.297 * * [simplify]: iters left: 5 (7 enodes) 40.299 * * [simplify]: iters left: 4 (25 enodes) 40.305 * * [simplify]: iters left: 3 (30 enodes) 40.314 * * [simplify]: Extracting #0: cost 1 inf + 0 40.314 * * [simplify]: Extracting #1: cost 4 inf + 0 40.314 * * [simplify]: Extracting #2: cost 8 inf + 0 40.314 * * [simplify]: Extracting #3: cost 10 inf + 82 40.314 * * [simplify]: Extracting #4: cost 7 inf + 206 40.315 * * [simplify]: Extracting #5: cost 2 inf + 575 40.315 * * [simplify]: Extracting #6: cost 1 inf + 818 40.315 * * [simplify]: Extracting #7: cost 0 inf + 1061 40.315 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 40.315 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.315 * * * * [progress]: [ 56 / 138 ] simplifiying candidate # 40.315 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 40.316 * * [simplify]: iters left: 5 (7 enodes) 40.318 * * [simplify]: iters left: 4 (25 enodes) 40.322 * * [simplify]: iters left: 3 (30 enodes) 40.327 * * [simplify]: Extracting #0: cost 1 inf + 0 40.327 * * [simplify]: Extracting #1: cost 4 inf + 0 40.327 * * [simplify]: Extracting #2: cost 8 inf + 0 40.327 * * [simplify]: Extracting #3: cost 10 inf + 42 40.328 * * [simplify]: Extracting #4: cost 7 inf + 126 40.328 * * [simplify]: Extracting #5: cost 2 inf + 495 40.328 * * [simplify]: Extracting #6: cost 1 inf + 698 40.328 * * [simplify]: Extracting #7: cost 0 inf + 901 40.328 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 40.328 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.328 * * * * [progress]: [ 57 / 138 ] simplifiying candidate # 40.329 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 40.329 * * [simplify]: iters left: 5 (6 enodes) 40.330 * * [simplify]: iters left: 4 (22 enodes) 40.334 * * [simplify]: iters left: 3 (27 enodes) 40.338 * * [simplify]: Extracting #0: cost 1 inf + 0 40.339 * * [simplify]: Extracting #1: cost 4 inf + 0 40.339 * * [simplify]: Extracting #2: cost 5 inf + 1 40.339 * * [simplify]: Extracting #3: cost 9 inf + 1 40.339 * * [simplify]: Extracting #4: cost 8 inf + 3 40.339 * * [simplify]: Extracting #5: cost 4 inf + 169 40.339 * * [simplify]: Extracting #6: cost 1 inf + 576 40.339 * * [simplify]: Extracting #7: cost 0 inf + 739 40.339 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 40.339 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.339 * * * * [progress]: [ 58 / 138 ] simplifiying candidate # 40.339 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 40.340 * * [simplify]: iters left: 5 (7 enodes) 40.342 * * [simplify]: iters left: 4 (25 enodes) 40.350 * * [simplify]: iters left: 3 (30 enodes) 40.360 * * [simplify]: Extracting #0: cost 1 inf + 0 40.360 * * [simplify]: Extracting #1: cost 4 inf + 0 40.360 * * [simplify]: Extracting #2: cost 8 inf + 0 40.360 * * [simplify]: Extracting #3: cost 10 inf + 82 40.360 * * [simplify]: Extracting #4: cost 7 inf + 206 40.360 * * [simplify]: Extracting #5: cost 2 inf + 495 40.361 * * [simplify]: Extracting #6: cost 1 inf + 698 40.361 * * [simplify]: Extracting #7: cost 0 inf + 901 40.361 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 40.361 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.362 * * * * [progress]: [ 59 / 138 ] simplifiying candidate # 40.362 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 40.362 * * [simplify]: iters left: 5 (7 enodes) 40.366 * * [simplify]: iters left: 4 (25 enodes) 40.375 * * [simplify]: iters left: 3 (30 enodes) 40.384 * * [simplify]: Extracting #0: cost 1 inf + 0 40.385 * * [simplify]: Extracting #1: cost 4 inf + 0 40.385 * * [simplify]: Extracting #2: cost 8 inf + 0 40.385 * * [simplify]: Extracting #3: cost 10 inf + 42 40.385 * * [simplify]: Extracting #4: cost 7 inf + 126 40.385 * * [simplify]: Extracting #5: cost 2 inf + 415 40.385 * * [simplify]: Extracting #6: cost 1 inf + 578 40.386 * * [simplify]: Extracting #7: cost 0 inf + 741 40.386 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 40.386 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.386 * * * * [progress]: [ 60 / 138 ] simplifiying candidate # 40.387 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 40.387 * * [simplify]: iters left: 5 (6 enodes) 40.391 * * [simplify]: iters left: 4 (22 enodes) 40.398 * * [simplify]: iters left: 3 (27 enodes) 40.406 * * [simplify]: Extracting #0: cost 1 inf + 0 40.406 * * [simplify]: Extracting #1: cost 4 inf + 0 40.406 * * [simplify]: Extracting #2: cost 5 inf + 1 40.406 * * [simplify]: Extracting #3: cost 9 inf + 1 40.406 * * [simplify]: Extracting #4: cost 8 inf + 3 40.406 * * [simplify]: Extracting #5: cost 4 inf + 169 40.407 * * [simplify]: Extracting #6: cost 1 inf + 456 40.407 * * [simplify]: Extracting #7: cost 0 inf + 579 40.407 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 40.407 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.407 * * * * [progress]: [ 61 / 138 ] simplifiying candidate # 40.408 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 40.408 * * [simplify]: iters left: 4 (6 enodes) 40.412 * * [simplify]: iters left: 3 (25 enodes) 40.423 * * [simplify]: iters left: 2 (36 enodes) 40.429 * * [simplify]: iters left: 1 (40 enodes) 40.435 * * [simplify]: Extracting #0: cost 1 inf + 0 40.435 * * [simplify]: Extracting #1: cost 7 inf + 0 40.435 * * [simplify]: Extracting #2: cost 16 inf + 0 40.435 * * [simplify]: Extracting #3: cost 13 inf + 44 40.435 * * [simplify]: Extracting #4: cost 3 inf + 1103 40.436 * * [simplify]: Extracting #5: cost 0 inf + 1469 40.436 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 40.436 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.436 * * * * [progress]: [ 62 / 138 ] simplifiying candidate # 40.436 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 40.436 * * [simplify]: iters left: 4 (6 enodes) 40.438 * * [simplify]: iters left: 3 (25 enodes) 40.443 * * [simplify]: iters left: 2 (36 enodes) 40.449 * * [simplify]: iters left: 1 (40 enodes) 40.460 * * [simplify]: Extracting #0: cost 1 inf + 0 40.461 * * [simplify]: Extracting #1: cost 7 inf + 0 40.461 * * [simplify]: Extracting #2: cost 16 inf + 0 40.461 * * [simplify]: Extracting #3: cost 13 inf + 44 40.461 * * [simplify]: Extracting #4: cost 3 inf + 823 40.462 * * [simplify]: Extracting #5: cost 0 inf + 1069 40.462 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 40.462 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.463 * * * * [progress]: [ 63 / 138 ] simplifiying candidate # 40.463 * [simplify]: Simplifying (/ (- 1 k) 2) 40.463 * * [simplify]: iters left: 4 (5 enodes) 40.467 * * [simplify]: iters left: 3 (23 enodes) 40.473 * * [simplify]: iters left: 2 (32 enodes) 40.478 * * [simplify]: Extracting #0: cost 1 inf + 0 40.478 * * [simplify]: Extracting #1: cost 6 inf + 0 40.478 * * [simplify]: Extracting #2: cost 9 inf + 2 40.478 * * [simplify]: Extracting #3: cost 6 inf + 87 40.478 * * [simplify]: Extracting #4: cost 0 inf + 420 40.479 * [simplify]: Simplified to (/ (- 1 k) 2) 40.479 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.479 * * * * [progress]: [ 64 / 138 ] simplifiying candidate # 40.479 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 40.479 * * [simplify]: iters left: 5 (8 enodes) 40.482 * * [simplify]: iters left: 4 (31 enodes) 40.487 * * [simplify]: iters left: 3 (45 enodes) 40.494 * * [simplify]: iters left: 2 (51 enodes) 40.501 * * [simplify]: iters left: 1 (52 enodes) 40.509 * * [simplify]: Extracting #0: cost 1 inf + 0 40.509 * * [simplify]: Extracting #1: cost 8 inf + 0 40.509 * * [simplify]: Extracting #2: cost 18 inf + 0 40.509 * * [simplify]: Extracting #3: cost 19 inf + 2 40.509 * * [simplify]: Extracting #4: cost 9 inf + 977 40.509 * * [simplify]: Extracting #5: cost 2 inf + 1790 40.510 * * [simplify]: Extracting #6: cost 0 inf + 2195 40.510 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 40.510 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.510 * * * * [progress]: [ 65 / 138 ] simplifiying candidate # 40.510 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 40.510 * * [simplify]: iters left: 5 (8 enodes) 40.515 * * [simplify]: iters left: 4 (31 enodes) 40.521 * * [simplify]: iters left: 3 (45 enodes) 40.532 * * [simplify]: iters left: 2 (51 enodes) 40.543 * * [simplify]: iters left: 1 (52 enodes) 40.550 * * [simplify]: Extracting #0: cost 1 inf + 0 40.550 * * [simplify]: Extracting #1: cost 8 inf + 0 40.550 * * [simplify]: Extracting #2: cost 18 inf + 0 40.550 * * [simplify]: Extracting #3: cost 19 inf + 2 40.550 * * [simplify]: Extracting #4: cost 9 inf + 697 40.551 * * [simplify]: Extracting #5: cost 2 inf + 1390 40.551 * * [simplify]: Extracting #6: cost 0 inf + 1715 40.551 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 40.551 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.551 * * * * [progress]: [ 66 / 138 ] simplifiying candidate # 40.552 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 40.552 * * [simplify]: iters left: 5 (7 enodes) 40.554 * * [simplify]: iters left: 4 (29 enodes) 40.561 * * [simplify]: iters left: 3 (43 enodes) 40.567 * * [simplify]: iters left: 2 (47 enodes) 40.579 * * [simplify]: Extracting #0: cost 1 inf + 0 40.579 * * [simplify]: Extracting #1: cost 7 inf + 0 40.580 * * [simplify]: Extracting #2: cost 11 inf + 2 40.580 * * [simplify]: Extracting #3: cost 13 inf + 3 40.580 * * [simplify]: Extracting #4: cost 11 inf + 45 40.580 * * [simplify]: Extracting #5: cost 0 inf + 1066 40.580 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 40.580 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.581 * * * * [progress]: [ 67 / 138 ] simplifiying candidate # 40.581 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 40.581 * * [simplify]: iters left: 5 (7 enodes) 40.586 * * [simplify]: iters left: 4 (28 enodes) 40.596 * * [simplify]: iters left: 3 (39 enodes) 40.609 * * [simplify]: iters left: 2 (43 enodes) 40.616 * * [simplify]: Extracting #0: cost 1 inf + 0 40.616 * * [simplify]: Extracting #1: cost 7 inf + 0 40.617 * * [simplify]: Extracting #2: cost 16 inf + 0 40.617 * * [simplify]: Extracting #3: cost 15 inf + 164 40.617 * * [simplify]: Extracting #4: cost 13 inf + 287 40.617 * * [simplify]: Extracting #5: cost 5 inf + 1180 40.617 * * [simplify]: Extracting #6: cost 0 inf + 1951 40.617 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 40.617 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.618 * * * * [progress]: [ 68 / 138 ] simplifiying candidate # 40.618 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 40.618 * * [simplify]: iters left: 5 (7 enodes) 40.620 * * [simplify]: iters left: 4 (28 enodes) 40.629 * * [simplify]: iters left: 3 (39 enodes) 40.636 * * [simplify]: iters left: 2 (43 enodes) 40.647 * * [simplify]: Extracting #0: cost 1 inf + 0 40.647 * * [simplify]: Extracting #1: cost 7 inf + 0 40.647 * * [simplify]: Extracting #2: cost 16 inf + 0 40.647 * * [simplify]: Extracting #3: cost 15 inf + 84 40.647 * * [simplify]: Extracting #4: cost 13 inf + 167 40.648 * * [simplify]: Extracting #5: cost 5 inf + 900 40.648 * * [simplify]: Extracting #6: cost 0 inf + 1551 40.649 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 40.649 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.649 * * * * [progress]: [ 69 / 138 ] simplifiying candidate # 40.650 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 40.650 * * [simplify]: iters left: 5 (6 enodes) 40.654 * * [simplify]: iters left: 4 (26 enodes) 40.663 * * [simplify]: iters left: 3 (35 enodes) 40.670 * * [simplify]: Extracting #0: cost 1 inf + 0 40.670 * * [simplify]: Extracting #1: cost 6 inf + 0 40.670 * * [simplify]: Extracting #2: cost 9 inf + 2 40.670 * * [simplify]: Extracting #3: cost 11 inf + 3 40.670 * * [simplify]: Extracting #4: cost 10 inf + 4 40.670 * * [simplify]: Extracting #5: cost 3 inf + 535 40.670 * * [simplify]: Extracting #6: cost 0 inf + 822 40.671 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 40.671 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.671 * * * * [progress]: [ 70 / 138 ] simplifiying candidate # 40.671 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 40.671 * * [simplify]: iters left: 4 (6 enodes) 40.673 * * [simplify]: iters left: 3 (25 enodes) 40.678 * * [simplify]: iters left: 2 (36 enodes) 40.684 * * [simplify]: iters left: 1 (40 enodes) 40.691 * * [simplify]: Extracting #0: cost 1 inf + 0 40.691 * * [simplify]: Extracting #1: cost 7 inf + 0 40.691 * * [simplify]: Extracting #2: cost 16 inf + 0 40.691 * * [simplify]: Extracting #3: cost 13 inf + 44 40.691 * * [simplify]: Extracting #4: cost 3 inf + 1103 40.691 * * [simplify]: Extracting #5: cost 0 inf + 1469 40.691 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 40.691 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.692 * * * * [progress]: [ 71 / 138 ] simplifiying candidate # 40.692 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 40.692 * * [simplify]: iters left: 4 (6 enodes) 40.694 * * [simplify]: iters left: 3 (25 enodes) 40.699 * * [simplify]: iters left: 2 (36 enodes) 40.705 * * [simplify]: iters left: 1 (40 enodes) 40.711 * * [simplify]: Extracting #0: cost 1 inf + 0 40.711 * * [simplify]: Extracting #1: cost 7 inf + 0 40.711 * * [simplify]: Extracting #2: cost 16 inf + 0 40.712 * * [simplify]: Extracting #3: cost 13 inf + 44 40.712 * * [simplify]: Extracting #4: cost 3 inf + 823 40.712 * * [simplify]: Extracting #5: cost 0 inf + 1069 40.712 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 40.712 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.712 * * * * [progress]: [ 72 / 138 ] simplifiying candidate # 40.712 * [simplify]: Simplifying (/ (- 1 k) 2) 40.713 * * [simplify]: iters left: 4 (5 enodes) 40.715 * * [simplify]: iters left: 3 (23 enodes) 40.719 * * [simplify]: iters left: 2 (32 enodes) 40.724 * * [simplify]: Extracting #0: cost 1 inf + 0 40.724 * * [simplify]: Extracting #1: cost 6 inf + 0 40.724 * * [simplify]: Extracting #2: cost 9 inf + 2 40.724 * * [simplify]: Extracting #3: cost 6 inf + 87 40.724 * * [simplify]: Extracting #4: cost 0 inf + 420 40.724 * [simplify]: Simplified to (/ (- 1 k) 2) 40.725 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.725 * * * * [progress]: [ 73 / 138 ] simplifiying candidate # 40.725 * [simplify]: Simplifying (/ (- 1 k) 2) 40.725 * * [simplify]: iters left: 4 (5 enodes) 40.730 * * [simplify]: iters left: 3 (23 enodes) 40.734 * * [simplify]: iters left: 2 (32 enodes) 40.740 * * [simplify]: Extracting #0: cost 1 inf + 0 40.740 * * [simplify]: Extracting #1: cost 6 inf + 0 40.740 * * [simplify]: Extracting #2: cost 9 inf + 2 40.740 * * [simplify]: Extracting #3: cost 6 inf + 87 40.740 * * [simplify]: Extracting #4: cost 0 inf + 420 40.740 * [simplify]: Simplified to (/ (- 1 k) 2) 40.740 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.741 * * * * [progress]: [ 74 / 138 ] simplifiying candidate # 40.741 * [simplify]: Simplifying (/ 1 2) 40.741 * * [simplify]: iters left: 2 (3 enodes) 40.743 * * [simplify]: iters left: 1 (12 enodes) 40.745 * * [simplify]: Extracting #0: cost 1 inf + 0 40.745 * * [simplify]: Extracting #1: cost 0 inf + 1 40.745 * [simplify]: Simplified to 1/2 40.745 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.745 * * * * [progress]: [ 75 / 138 ] simplifiying candidate # 40.746 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 40.746 * * [simplify]: iters left: 5 (8 enodes) 40.749 * * [simplify]: iters left: 4 (36 enodes) 40.756 * * [simplify]: iters left: 3 (57 enodes) 40.767 * * [simplify]: iters left: 2 (90 enodes) 40.787 * * [simplify]: iters left: 1 (176 enodes) 40.855 * * [simplify]: Extracting #0: cost 1 inf + 0 40.855 * * [simplify]: Extracting #1: cost 13 inf + 0 40.855 * * [simplify]: Extracting #2: cost 55 inf + 1 40.856 * * [simplify]: Extracting #3: cost 86 inf + 6 40.857 * * [simplify]: Extracting #4: cost 73 inf + 1511 40.859 * * [simplify]: Extracting #5: cost 26 inf + 9176 40.865 * * [simplify]: Extracting #6: cost 2 inf + 22574 40.872 * * [simplify]: Extracting #7: cost 0 inf + 23644 40.878 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 40.879 * [simplify]: Simplified (2 1 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.879 * * * * [progress]: [ 76 / 138 ] simplifiying candidate # 40.879 * * * * [progress]: [ 77 / 138 ] simplifiying candidate # 40.879 * * * * [progress]: [ 78 / 138 ] simplifiying candidate # 40.879 * * * * [progress]: [ 79 / 138 ] simplifiying candidate # 40.879 * * * * [progress]: [ 80 / 138 ] simplifiying candidate # 40.879 * * * * [progress]: [ 81 / 138 ] simplifiying candidate # 40.879 * * * * [progress]: [ 82 / 138 ] simplifiying candidate # 40.879 * * * * [progress]: [ 83 / 138 ] simplifiying candidate # 40.879 * * * * [progress]: [ 84 / 138 ] simplifiying candidate #real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 40.879 * * * * [progress]: [ 85 / 138 ] simplifiying candidate # 40.880 * * * * [progress]: [ 86 / 138 ] simplifiying candidate # 40.880 * * * * [progress]: [ 87 / 138 ] simplifiying candidate # 40.880 * [simplify]: Simplifying (* (* 2 PI) n) 40.880 * * [simplify]: iters left: 4 (5 enodes) 40.883 * * [simplify]: iters left: 3 (19 enodes) 40.889 * * [simplify]: iters left: 2 (27 enodes) 40.898 * * [simplify]: iters left: 1 (32 enodes) 40.906 * * [simplify]: Extracting #0: cost 1 inf + 0 40.906 * * [simplify]: Extracting #1: cost 8 inf + 0 40.906 * * [simplify]: Extracting #2: cost 7 inf + 45 40.907 * * [simplify]: Extracting #3: cost 0 inf + 421 40.907 * [simplify]: Simplified to (* (* 2 PI) n) 40.907 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))))) 40.907 * * * * [progress]: [ 88 / 138 ] simplifiying candidate # 40.908 * [simplify]: Simplifying (* (* 2 PI) n) 40.908 * * [simplify]: iters left: 4 (5 enodes) 40.911 * * [simplify]: iters left: 3 (19 enodes) 40.917 * * [simplify]: iters left: 2 (27 enodes) 40.925 * * [simplify]: iters left: 1 (32 enodes) 40.931 * * [simplify]: Extracting #0: cost 1 inf + 0 40.932 * * [simplify]: Extracting #1: cost 8 inf + 0 40.932 * * [simplify]: Extracting #2: cost 7 inf + 45 40.932 * * [simplify]: Extracting #3: cost 0 inf + 421 40.932 * [simplify]: Simplified to (* (* 2 PI) n) 40.932 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))))) 40.932 * * * * [progress]: [ 89 / 138 ] simplifiying candidate # 40.932 * * * * [progress]: [ 90 / 138 ] simplifiying candidate # 40.932 * [simplify]: Simplifying (+ (+ (log 2) (log PI)) (log n)) 40.932 * * [simplify]: iters left: 5 (8 enodes) 40.935 * * [simplify]: iters left: 4 (28 enodes) 40.939 * * [simplify]: iters left: 3 (36 enodes) 40.945 * * [simplify]: iters left: 2 (42 enodes) 40.950 * * [simplify]: Extracting #0: cost 1 inf + 0 40.951 * * [simplify]: Extracting #1: cost 8 inf + 0 40.951 * * [simplify]: Extracting #2: cost 17 inf + 0 40.951 * * [simplify]: Extracting #3: cost 13 inf + 74 40.951 * * [simplify]: Extracting #4: cost 6 inf + 1015 40.951 * * [simplify]: Extracting #5: cost 0 inf + 2107 40.951 * [simplify]: Simplified to (+ (log 2) (+ (log PI) (log n))) 40.951 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (exp (+ (log 2) (+ (log PI) (log n)))) (/ (- 1 k) 2)))))) 40.952 * * * * [progress]: [ 91 / 138 ] simplifiying candidate # 40.952 * [simplify]: Simplifying (+ (log (* 2 PI)) (log n)) 40.952 * * [simplify]: iters left: 5 (7 enodes) 40.954 * * [simplify]: iters left: 4 (26 enodes) 40.961 * * [simplify]: iters left: 3 (35 enodes) 40.966 * * [simplify]: iters left: 2 (44 enodes) 40.972 * * [simplify]: Extracting #0: cost 1 inf + 0 40.973 * * [simplify]: Extracting #1: cost 8 inf + 0 40.973 * * [simplify]: Extracting #2: cost 18 inf + 0 40.973 * * [simplify]: Extracting #3: cost 15 inf + 74 40.973 * * [simplify]: Extracting #4: cost 6 inf + 918 40.973 * * [simplify]: Extracting #5: cost 0 inf + 1911 40.973 * [simplify]: Simplified to (+ (log (* 2 PI)) (log n)) 40.973 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2)))))) 40.974 * * * * [progress]: [ 92 / 138 ] simplifiying candidate # 40.974 * * * * [progress]: [ 93 / 138 ] simplifiying candidate # 40.974 * * * * [progress]: [ 94 / 138 ] simplifiying candidate # 40.974 * [simplify]: Simplifying (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)) 40.974 * * [simplify]: iters left: 6 (11 enodes) 40.980 * * [simplify]: iters left: 5 (47 enodes) 41.002 * * [simplify]: iters left: 4 (115 enodes) 41.055 * * [simplify]: iters left: 3 (384 enodes) 41.364 * * [simplify]: Extracting #0: cost 1 inf + 0 41.365 * * [simplify]: Extracting #1: cost 102 inf + 0 41.370 * * [simplify]: Extracting #2: cost 263 inf + 1026 41.375 * * [simplify]: Extracting #3: cost 88 inf + 24284 41.384 * * [simplify]: Extracting #4: cost 2 inf + 40704 41.394 * * [simplify]: Extracting #5: cost 0 inf + 41008 41.406 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 41.406 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)))))) 41.406 * * * * [progress]: [ 95 / 138 ] simplifiying candidate # 41.406 * [simplify]: Simplifying (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)) 41.406 * * [simplify]: iters left: 6 (9 enodes) 41.412 * * [simplify]: iters left: 5 (45 enodes) 41.421 * * [simplify]: iters left: 4 (116 enodes) 41.463 * * [simplify]: iters left: 3 (371 enodes) 41.745 * * [simplify]: Extracting #0: cost 1 inf + 0 41.745 * * [simplify]: Extracting #1: cost 82 inf + 0 41.746 * * [simplify]: Extracting #2: cost 200 inf + 498 41.749 * * [simplify]: Extracting #3: cost 121 inf + 10421 41.765 * * [simplify]: Extracting #4: cost 5 inf + 33505 41.784 * * [simplify]: Extracting #5: cost 0 inf + 33849 41.803 * * [simplify]: Extracting #6: cost 0 inf + 33809 41.812 * [simplify]: Simplified to (* (* n PI) (* 8 (* (* n PI) (* n PI)))) 41.812 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (cbrt (* (* n PI) (* 8 (* (* n PI) (* n PI))))) (/ (- 1 k) 2)))))) 41.812 * * * * [progress]: [ 96 / 138 ] simplifiying candidate # 41.812 * * * * [progress]: [ 97 / 138 ] simplifiying candidate # 41.812 * * * * [progress]: [ 98 / 138 ] simplifiying candidate # 41.812 * * * * [progress]: [ 99 / 138 ] simplifiying candidate # 41.812 * * * * [progress]: [ 100 / 138 ] simplifiying candidate # 41.813 * [simplify]: Simplifying (cbrt n) 41.813 * * [simplify]: iters left: 1 (2 enodes) 41.813 * * [simplify]: Extracting #0: cost 1 inf + 0 41.813 * * [simplify]: Extracting #1: cost 3 inf + 0 41.813 * * [simplify]: Extracting #2: cost 2 inf + 1 41.813 * * [simplify]: Extracting #3: cost 0 inf + 163 41.813 * [simplify]: Simplified to (cbrt n) 41.813 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2)))))) 41.814 * * * * [progress]: [ 101 / 138 ] simplifiying candidate # 41.814 * [simplify]: Simplifying (sqrt n) 41.814 * * [simplify]: iters left: 1 (2 enodes) 41.814 * * [simplify]: Extracting #0: cost 1 inf + 0 41.814 * * [simplify]: Extracting #1: cost 3 inf + 0 41.814 * * [simplify]: Extracting #2: cost 2 inf + 1 41.814 * * [simplify]: Extracting #3: cost 0 inf + 83 41.814 * [simplify]: Simplified to (sqrt n) 41.814 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2)))))) 41.814 * * * * [progress]: [ 102 / 138 ] simplifiying candidate # 41.814 * * * * [progress]: [ 103 / 138 ] simplifiying candidate # 41.815 * * * * [progress]: [ 104 / 138 ] simplifiying candidate #real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))))> 41.815 * * * * [progress]: [ 105 / 138 ] simplifiying candidate # 41.815 * * * * [progress]: [ 106 / 138 ] simplifiying candidate # 41.815 * * * * [progress]: [ 107 / 138 ] simplifiying candidate # 41.815 * * * * [progress]: [ 108 / 138 ] simplifiying candidate # 41.815 * [simplify]: Simplifying (* (* 2 PI) n) 41.815 * * [simplify]: iters left: 4 (5 enodes) 41.817 * * [simplify]: iters left: 3 (19 enodes) 41.820 * * [simplify]: iters left: 2 (27 enodes) 41.824 * * [simplify]: iters left: 1 (32 enodes) 41.832 * * [simplify]: Extracting #0: cost 1 inf + 0 41.832 * * [simplify]: Extracting #1: cost 8 inf + 0 41.832 * * [simplify]: Extracting #2: cost 7 inf + 45 41.833 * * [simplify]: Extracting #3: cost 0 inf + 421 41.833 * [simplify]: Simplified to (* (* 2 PI) n) 41.833 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.833 * * * * [progress]: [ 109 / 138 ] simplifiying candidate # 41.834 * [simplify]: Simplifying (* (* 2 PI) n) 41.834 * * [simplify]: iters left: 4 (5 enodes) 41.837 * * [simplify]: iters left: 3 (19 enodes) 41.840 * * [simplify]: iters left: 2 (27 enodes) 41.845 * * [simplify]: iters left: 1 (32 enodes) 41.849 * * [simplify]: Extracting #0: cost 1 inf + 0 41.849 * * [simplify]: Extracting #1: cost 8 inf + 0 41.849 * * [simplify]: Extracting #2: cost 7 inf + 45 41.849 * * [simplify]: Extracting #3: cost 0 inf + 421 41.849 * [simplify]: Simplified to (* (* 2 PI) n) 41.849 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.850 * * * * [progress]: [ 110 / 138 ] simplifiying candidate # 41.850 * * * * [progress]: [ 111 / 138 ] simplifiying candidate # 41.850 * [simplify]: Simplifying (+ (+ (log 2) (log PI)) (log n)) 41.850 * * [simplify]: iters left: 5 (8 enodes) 41.852 * * [simplify]: iters left: 4 (28 enodes) 41.857 * * [simplify]: iters left: 3 (36 enodes) 41.863 * * [simplify]: iters left: 2 (42 enodes) 41.874 * * [simplify]: Extracting #0: cost 1 inf + 0 41.874 * * [simplify]: Extracting #1: cost 8 inf + 0 41.874 * * [simplify]: Extracting #2: cost 17 inf + 0 41.874 * * [simplify]: Extracting #3: cost 13 inf + 74 41.875 * * [simplify]: Extracting #4: cost 6 inf + 1015 41.875 * * [simplify]: Extracting #5: cost 0 inf + 2107 41.876 * [simplify]: Simplified to (+ (log 2) (+ (log PI) (log n))) 41.876 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (exp (+ (log 2) (+ (log PI) (log n)))) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.876 * * * * [progress]: [ 112 / 138 ] simplifiying candidate # 41.876 * [simplify]: Simplifying (+ (log (* 2 PI)) (log n)) 41.876 * * [simplify]: iters left: 5 (7 enodes) 41.881 * * [simplify]: iters left: 4 (26 enodes) 41.889 * * [simplify]: iters left: 3 (35 enodes) 41.900 * * [simplify]: iters left: 2 (44 enodes) 41.912 * * [simplify]: Extracting #0: cost 1 inf + 0 41.912 * * [simplify]: Extracting #1: cost 8 inf + 0 41.912 * * [simplify]: Extracting #2: cost 18 inf + 0 41.912 * * [simplify]: Extracting #3: cost 15 inf + 74 41.912 * * [simplify]: Extracting #4: cost 6 inf + 918 41.913 * * [simplify]: Extracting #5: cost 0 inf + 1911 41.913 * [simplify]: Simplified to (+ (log (* 2 PI)) (log n)) 41.913 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.913 * * * * [progress]: [ 113 / 138 ] simplifiying candidate # 41.914 * * * * [progress]: [ 114 / 138 ] simplifiying candidate # 41.914 * * * * [progress]: [ 115 / 138 ] simplifiying candidate # 41.914 * [simplify]: Simplifying (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)) 41.914 * * [simplify]: iters left: 6 (11 enodes) 41.921 * * [simplify]: iters left: 5 (47 enodes) 41.941 * * [simplify]: iters left: 4 (115 enodes) 41.971 * * [simplify]: iters left: 3 (384 enodes) 42.279 * * [simplify]: Extracting #0: cost 1 inf + 0 42.280 * * [simplify]: Extracting #1: cost 102 inf + 0 42.282 * * [simplify]: Extracting #2: cost 263 inf + 1026 42.291 * * [simplify]: Extracting #3: cost 88 inf + 24284 42.306 * * [simplify]: Extracting #4: cost 2 inf + 40704 42.323 * * [simplify]: Extracting #5: cost 0 inf + 41008 42.346 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 42.346 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 42.347 * * * * [progress]: [ 116 / 138 ] simplifiying candidate # 42.347 * [simplify]: Simplifying (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)) 42.347 * * [simplify]: iters left: 6 (9 enodes) 42.353 * * [simplify]: iters left: 5 (45 enodes) 42.372 * * [simplify]: iters left: 4 (116 enodes) 42.436 * * [simplify]: iters left: 3 (371 enodes) 42.728 * * [simplify]: Extracting #0: cost 1 inf + 0 42.728 * * [simplify]: Extracting #1: cost 82 inf + 0 42.729 * * [simplify]: Extracting #2: cost 200 inf + 498 42.735 * * [simplify]: Extracting #3: cost 121 inf + 10421 42.753 * * [simplify]: Extracting #4: cost 5 inf + 33505 42.777 * * [simplify]: Extracting #5: cost 0 inf + 33849 42.796 * * [simplify]: Extracting #6: cost 0 inf + 33809 42.815 * [simplify]: Simplified to (* (* n PI) (* 8 (* (* n PI) (* n PI)))) 42.815 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (cbrt (* (* n PI) (* 8 (* (* n PI) (* n PI))))) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 42.815 * * * * [progress]: [ 117 / 138 ] simplifiying candidate # 42.815 * * * * [progress]: [ 118 / 138 ] simplifiying candidate # 42.815 * * * * [progress]: [ 119 / 138 ] simplifiying candidate # 42.815 * * * * [progress]: [ 120 / 138 ] simplifiying candidate # 42.815 * * * * [progress]: [ 121 / 138 ] simplifiying candidate # 42.816 * [simplify]: Simplifying (cbrt n) 42.816 * * [simplify]: iters left: 1 (2 enodes) 42.817 * * [simplify]: Extracting #0: cost 1 inf + 0 42.817 * * [simplify]: Extracting #1: cost 3 inf + 0 42.817 * * [simplify]: Extracting #2: cost 2 inf + 1 42.817 * * [simplify]: Extracting #3: cost 0 inf + 163 42.817 * [simplify]: Simplified to (cbrt n) 42.817 * [simplify]: Simplified (2 1 1 2 1 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 42.817 * * * * [progress]: [ 122 / 138 ] simplifiying candidate # 42.817 * [simplify]: Simplifying (sqrt n) 42.817 * * [simplify]: iters left: 1 (2 enodes) 42.819 * * [simplify]: Extracting #0: cost 1 inf + 0 42.819 * * [simplify]: Extracting #1: cost 3 inf + 0 42.819 * * [simplify]: Extracting #2: cost 2 inf + 1 42.819 * * [simplify]: Extracting #3: cost 0 inf + 83 42.819 * [simplify]: Simplified to (sqrt n) 42.819 * [simplify]: Simplified (2 1 1 2 1 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 42.819 * * * * [progress]: [ 123 / 138 ] simplifiying candidate # 42.819 * * * * [progress]: [ 124 / 138 ] simplifiying candidate # 42.819 * * * * [progress]: [ 125 / 138 ] simplifiying candidate #real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 42.819 * * * * [progress]: [ 126 / 138 ] simplifiying candidate # 42.819 * * * * [progress]: [ 127 / 138 ] simplifiying candidate # 42.820 * [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))))) 42.820 * * [simplify]: iters left: 6 (37 enodes) 42.843 * * [simplify]: iters left: 5 (190 enodes) 42.929 * * [simplify]: Extracting #0: cost 1 inf + 0 42.929 * * [simplify]: Extracting #1: cost 22 inf + 0 42.929 * * [simplify]: Extracting #2: cost 108 inf + 1 42.930 * * [simplify]: Extracting #3: cost 171 inf + 46 42.932 * * [simplify]: Extracting #4: cost 189 inf + 427 42.936 * * [simplify]: Extracting #5: cost 128 inf + 16032 42.953 * * [simplify]: Extracting #6: cost 29 inf + 57153 42.982 * * [simplify]: Extracting #7: cost 4 inf + 75884 43.000 * * [simplify]: Extracting #8: cost 0 inf + 78767 43.016 * [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))) 43.016 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (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))))))) 43.017 * * * * [progress]: [ 128 / 138 ] simplifiying candidate # 43.017 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 43.017 * * [simplify]: iters left: 6 (15 enodes) 43.022 * * [simplify]: iters left: 5 (65 enodes) 43.045 * * [simplify]: iters left: 4 (123 enodes) 43.105 * * [simplify]: iters left: 3 (367 enodes) 43.292 * * [simplify]: Extracting #0: cost 1 inf + 0 43.292 * * [simplify]: Extracting #1: cost 37 inf + 0 43.293 * * [simplify]: Extracting #2: cost 216 inf + 72 43.294 * * [simplify]: Extracting #3: cost 356 inf + 1622 43.299 * * [simplify]: Extracting #4: cost 219 inf + 28945 43.316 * * [simplify]: Extracting #5: cost 21 inf + 83197 43.332 * * [simplify]: Extracting #6: cost 0 inf + 89881 43.353 * * [simplify]: Extracting #7: cost 0 inf + 89729 43.372 * * [simplify]: Extracting #8: cost 0 inf + 89726 43.399 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 43.399 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))))))) 43.399 * * * * [progress]: [ 129 / 138 ] simplifiying candidate # 43.399 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 43.399 * * [simplify]: iters left: 6 (16 enodes) 43.405 * * [simplify]: iters left: 5 (67 enodes) 43.418 * * [simplify]: iters left: 4 (134 enodes) 43.478 * * [simplify]: iters left: 3 (413 enodes) 43.710 * * [simplify]: Extracting #0: cost 1 inf + 0 43.710 * * [simplify]: Extracting #1: cost 39 inf + 0 43.711 * * [simplify]: Extracting #2: cost 241 inf + 72 43.712 * * [simplify]: Extracting #3: cost 450 inf + 903 43.715 * * [simplify]: Extracting #4: cost 376 inf + 10375 43.726 * * [simplify]: Extracting #5: cost 158 inf + 67083 43.751 * * [simplify]: Extracting #6: cost 12 inf + 118840 43.774 * * [simplify]: Extracting #7: cost 0 inf + 121984 43.806 * * [simplify]: Extracting #8: cost 0 inf + 121983 43.853 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 43.853 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))))))) 43.854 * * * * [progress]: [ 130 / 138 ] simplifiying candidate # 43.854 * [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))))) 43.855 * * [simplify]: iters left: 6 (37 enodes) 43.876 * * [simplify]: iters left: 5 (190 enodes) 43.921 * * [simplify]: Extracting #0: cost 1 inf + 0 43.922 * * [simplify]: Extracting #1: cost 22 inf + 0 43.922 * * [simplify]: Extracting #2: cost 108 inf + 1 43.922 * * [simplify]: Extracting #3: cost 171 inf + 46 43.923 * * [simplify]: Extracting #4: cost 189 inf + 427 43.925 * * [simplify]: Extracting #5: cost 128 inf + 16032 43.937 * * [simplify]: Extracting #6: cost 29 inf + 57153 43.960 * * [simplify]: Extracting #7: cost 4 inf + 75884 43.992 * * [simplify]: Extracting #8: cost 0 inf + 78767 44.022 * [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))) 44.023 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (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 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 44.023 * * * * [progress]: [ 131 / 138 ] simplifiying candidate # 44.024 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 44.024 * * [simplify]: iters left: 6 (15 enodes) 44.034 * * [simplify]: iters left: 5 (65 enodes) 44.046 * * [simplify]: iters left: 4 (123 enodes) 44.079 * * [simplify]: iters left: 3 (367 enodes) 44.258 * * [simplify]: Extracting #0: cost 1 inf + 0 44.258 * * [simplify]: Extracting #1: cost 37 inf + 0 44.259 * * [simplify]: Extracting #2: cost 216 inf + 72 44.261 * * [simplify]: Extracting #3: cost 356 inf + 1622 44.270 * * [simplify]: Extracting #4: cost 219 inf + 28945 44.284 * * [simplify]: Extracting #5: cost 21 inf + 83197 44.302 * * [simplify]: Extracting #6: cost 0 inf + 89881 44.334 * * [simplify]: Extracting #7: cost 0 inf + 89729 44.372 * * [simplify]: Extracting #8: cost 0 inf + 89726 44.394 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 44.394 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 44.394 * * * * [progress]: [ 132 / 138 ] simplifiying candidate # 44.394 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 44.394 * * [simplify]: iters left: 6 (16 enodes) 44.400 * * [simplify]: iters left: 5 (67 enodes) 44.412 * * [simplify]: iters left: 4 (134 enodes) 44.458 * * [simplify]: iters left: 3 (413 enodes) 44.688 * * [simplify]: Extracting #0: cost 1 inf + 0 44.689 * * [simplify]: Extracting #1: cost 39 inf + 0 44.690 * * [simplify]: Extracting #2: cost 241 inf + 72 44.693 * * [simplify]: Extracting #3: cost 450 inf + 903 44.699 * * [simplify]: Extracting #4: cost 376 inf + 10375 44.709 * * [simplify]: Extracting #5: cost 158 inf + 67083 44.732 * * [simplify]: Extracting #6: cost 12 inf + 118840 44.763 * * [simplify]: Extracting #7: cost 0 inf + 121984 44.796 * * [simplify]: Extracting #8: cost 0 inf + 121983 44.838 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 44.838 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 44.838 * * * * [progress]: [ 133 / 138 ] simplifiying candidate # 44.838 * [simplify]: Simplifying (* 2 (* n PI)) 44.838 * * [simplify]: iters left: 4 (5 enodes) 44.840 * * [simplify]: iters left: 3 (19 enodes) 44.843 * * [simplify]: iters left: 2 (27 enodes) 44.849 * * [simplify]: iters left: 1 (32 enodes) 44.854 * * [simplify]: Extracting #0: cost 1 inf + 0 44.854 * * [simplify]: Extracting #1: cost 8 inf + 0 44.854 * * [simplify]: Extracting #2: cost 7 inf + 45 44.854 * * [simplify]: Extracting #3: cost 0 inf + 421 44.854 * [simplify]: Simplified to (* (* PI n) 2) 44.854 * [simplify]: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))) 44.854 * * * * [progress]: [ 134 / 138 ] simplifiying candidate # 44.854 * [simplify]: Simplifying (* 2 (* n PI)) 44.854 * * [simplify]: iters left: 4 (5 enodes) 44.856 * * [simplify]: iters left: 3 (19 enodes) 44.859 * * [simplify]: iters left: 2 (27 enodes) 44.863 * * [simplify]: iters left: 1 (32 enodes) 44.869 * * [simplify]: Extracting #0: cost 1 inf + 0 44.869 * * [simplify]: Extracting #1: cost 8 inf + 0 44.869 * * [simplify]: Extracting #2: cost 7 inf + 45 44.870 * * [simplify]: Extracting #3: cost 0 inf + 421 44.870 * [simplify]: Simplified to (* (* PI n) 2) 44.870 * [simplify]: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))) 44.870 * * * * [progress]: [ 135 / 138 ] simplifiying candidate # 44.870 * [simplify]: Simplifying (* 2 (* n PI)) 44.871 * * [simplify]: iters left: 4 (5 enodes) 44.874 * * [simplify]: iters left: 3 (19 enodes) 44.880 * * [simplify]: iters left: 2 (27 enodes) 44.888 * * [simplify]: iters left: 1 (32 enodes) 44.896 * * [simplify]: Extracting #0: cost 1 inf + 0 44.897 * * [simplify]: Extracting #1: cost 8 inf + 0 44.897 * * [simplify]: Extracting #2: cost 7 inf + 45 44.897 * * [simplify]: Extracting #3: cost 0 inf + 421 44.897 * [simplify]: Simplified to (* (* PI n) 2) 44.897 * [simplify]: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))) 44.897 * * * * [progress]: [ 136 / 138 ] simplifiying candidate # 44.898 * [simplify]: Simplifying (* 2 (* n PI)) 44.898 * * [simplify]: iters left: 4 (5 enodes) 44.901 * * [simplify]: iters left: 3 (19 enodes) 44.907 * * [simplify]: iters left: 2 (27 enodes) 44.915 * * [simplify]: iters left: 1 (32 enodes) 44.923 * * [simplify]: Extracting #0: cost 1 inf + 0 44.923 * * [simplify]: Extracting #1: cost 8 inf + 0 44.924 * * [simplify]: Extracting #2: cost 7 inf + 45 44.924 * * [simplify]: Extracting #3: cost 0 inf + 421 44.924 * [simplify]: Simplified to (* (* PI n) 2) 44.924 * [simplify]: Simplified (2 1 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 44.924 * * * * [progress]: [ 137 / 138 ] simplifiying candidate # 44.925 * [simplify]: Simplifying (* 2 (* n PI)) 44.925 * * [simplify]: iters left: 4 (5 enodes) 44.928 * * [simplify]: iters left: 3 (19 enodes) 44.934 * * [simplify]: iters left: 2 (27 enodes) 44.942 * * [simplify]: iters left: 1 (32 enodes) 44.951 * * [simplify]: Extracting #0: cost 1 inf + 0 44.951 * * [simplify]: Extracting #1: cost 8 inf + 0 44.951 * * [simplify]: Extracting #2: cost 7 inf + 45 44.951 * * [simplify]: Extracting #3: cost 0 inf + 421 44.951 * [simplify]: Simplified to (* (* PI n) 2) 44.951 * [simplify]: Simplified (2 1 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 44.952 * * * * [progress]: [ 138 / 138 ] simplifiying candidate # 44.952 * [simplify]: Simplifying (* 2 (* n PI)) 44.952 * * [simplify]: iters left: 4 (5 enodes) 44.955 * * [simplify]: iters left: 3 (19 enodes) 44.961 * * [simplify]: iters left: 2 (27 enodes) 44.970 * * [simplify]: iters left: 1 (32 enodes) 44.978 * * [simplify]: Extracting #0: cost 1 inf + 0 44.978 * * [simplify]: Extracting #1: cost 8 inf + 0 44.978 * * [simplify]: Extracting #2: cost 7 inf + 45 44.979 * * [simplify]: Extracting #3: cost 0 inf + 421 44.979 * [simplify]: Simplified to (* (* PI n) 2) 44.979 * [simplify]: Simplified (2 1 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 44.979 * * * [progress]: adding candidates to table 47.462 * * [progress]: iteration 4 / 4 47.462 * * * [progress]: picking best candidate 47.503 * * * * [pick]: Picked # 47.503 * * * [progress]: localizing error 47.551 * * * [progress]: generating rewritten candidates 47.551 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 47.587 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 47.630 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 47.660 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 47.699 * * * [progress]: generating series expansions 47.699 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 47.700 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 47.700 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0 47.700 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 47.700 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 47.700 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 47.700 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 47.700 * [taylor]: Taking taylor expansion of 1/4 in k 47.700 * [backup-simplify]: Simplify 1/4 into 1/4 47.700 * [taylor]: Taking taylor expansion of (- 1 k) in k 47.700 * [taylor]: Taking taylor expansion of 1 in k 47.700 * [backup-simplify]: Simplify 1 into 1 47.700 * [taylor]: Taking taylor expansion of k in k 47.700 * [backup-simplify]: Simplify 0 into 0 47.700 * [backup-simplify]: Simplify 1 into 1 47.700 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 47.700 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 47.700 * [taylor]: Taking taylor expansion of 2 in k 47.700 * [backup-simplify]: Simplify 2 into 2 47.700 * [taylor]: Taking taylor expansion of (* n PI) in k 47.700 * [taylor]: Taking taylor expansion of n in k 47.700 * [backup-simplify]: Simplify n into n 47.700 * [taylor]: Taking taylor expansion of PI in k 47.700 * [backup-simplify]: Simplify PI into PI 47.700 * [backup-simplify]: Simplify (* n PI) into (* n PI) 47.700 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 47.700 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 47.700 * [backup-simplify]: Simplify (- 0) into 0 47.701 * [backup-simplify]: Simplify (+ 1 0) into 1 47.701 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 47.701 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 47.701 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 47.701 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 47.701 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 47.701 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 47.701 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 47.701 * [taylor]: Taking taylor expansion of 1/4 in n 47.701 * [backup-simplify]: Simplify 1/4 into 1/4 47.701 * [taylor]: Taking taylor expansion of (- 1 k) in n 47.701 * [taylor]: Taking taylor expansion of 1 in n 47.701 * [backup-simplify]: Simplify 1 into 1 47.701 * [taylor]: Taking taylor expansion of k in n 47.701 * [backup-simplify]: Simplify k into k 47.701 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 47.701 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 47.701 * [taylor]: Taking taylor expansion of 2 in n 47.701 * [backup-simplify]: Simplify 2 into 2 47.701 * [taylor]: Taking taylor expansion of (* n PI) in n 47.701 * [taylor]: Taking taylor expansion of n in n 47.702 * [backup-simplify]: Simplify 0 into 0 47.702 * [backup-simplify]: Simplify 1 into 1 47.702 * [taylor]: Taking taylor expansion of PI in n 47.702 * [backup-simplify]: Simplify PI into PI 47.702 * [backup-simplify]: Simplify (* 0 PI) into 0 47.702 * [backup-simplify]: Simplify (* 2 0) into 0 47.703 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 47.704 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 47.705 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 47.705 * [backup-simplify]: Simplify (- k) into (- k) 47.705 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 47.705 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 47.705 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 47.706 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 47.707 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 47.707 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 47.707 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 47.707 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 47.707 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 47.707 * [taylor]: Taking taylor expansion of 1/4 in n 47.707 * [backup-simplify]: Simplify 1/4 into 1/4 47.707 * [taylor]: Taking taylor expansion of (- 1 k) in n 47.707 * [taylor]: Taking taylor expansion of 1 in n 47.707 * [backup-simplify]: Simplify 1 into 1 47.707 * [taylor]: Taking taylor expansion of k in n 47.707 * [backup-simplify]: Simplify k into k 47.707 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 47.707 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 47.707 * [taylor]: Taking taylor expansion of 2 in n 47.707 * [backup-simplify]: Simplify 2 into 2 47.707 * [taylor]: Taking taylor expansion of (* n PI) in n 47.707 * [taylor]: Taking taylor expansion of n in n 47.707 * [backup-simplify]: Simplify 0 into 0 47.707 * [backup-simplify]: Simplify 1 into 1 47.707 * [taylor]: Taking taylor expansion of PI in n 47.707 * [backup-simplify]: Simplify PI into PI 47.707 * [backup-simplify]: Simplify (* 0 PI) into 0 47.708 * [backup-simplify]: Simplify (* 2 0) into 0 47.708 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 47.709 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 47.710 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 47.710 * [backup-simplify]: Simplify (- k) into (- k) 47.710 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 47.710 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 47.711 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 47.711 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 47.712 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 47.712 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 47.712 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 47.712 * [taylor]: Taking taylor expansion of 1/4 in k 47.712 * [backup-simplify]: Simplify 1/4 into 1/4 47.712 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 47.712 * [taylor]: Taking taylor expansion of (- 1 k) in k 47.712 * [taylor]: Taking taylor expansion of 1 in k 47.712 * [backup-simplify]: Simplify 1 into 1 47.712 * [taylor]: Taking taylor expansion of k in k 47.712 * [backup-simplify]: Simplify 0 into 0 47.712 * [backup-simplify]: Simplify 1 into 1 47.712 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 47.712 * [taylor]: Taking taylor expansion of (log n) in k 47.712 * [taylor]: Taking taylor expansion of n in k 47.712 * [backup-simplify]: Simplify n into n 47.712 * [backup-simplify]: Simplify (log n) into (log n) 47.713 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 47.713 * [taylor]: Taking taylor expansion of (* 2 PI) in k 47.713 * [taylor]: Taking taylor expansion of 2 in k 47.713 * [backup-simplify]: Simplify 2 into 2 47.713 * [taylor]: Taking taylor expansion of PI in k 47.713 * [backup-simplify]: Simplify PI into PI 47.713 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 47.713 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 47.714 * [backup-simplify]: Simplify (- 0) into 0 47.714 * [backup-simplify]: Simplify (+ 1 0) into 1 47.715 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 47.715 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 47.716 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 47.716 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 47.717 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 47.718 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 47.719 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 47.720 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 47.720 * [backup-simplify]: Simplify (- 0) into 0 47.720 * [backup-simplify]: Simplify (+ 0 0) into 0 47.721 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 47.727 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 47.728 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 47.729 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 47.729 * [taylor]: Taking taylor expansion of 0 in k 47.729 * [backup-simplify]: Simplify 0 into 0 47.729 * [backup-simplify]: Simplify 0 into 0 47.730 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 47.730 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 47.731 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 47.732 * [backup-simplify]: Simplify (+ 0 0) into 0 47.732 * [backup-simplify]: Simplify (- 1) into -1 47.732 * [backup-simplify]: Simplify (+ 0 -1) into -1 47.733 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 47.734 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 47.736 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 47.737 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 47.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 47.740 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 47.743 * [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 47.744 * [backup-simplify]: Simplify (- 0) into 0 47.744 * [backup-simplify]: Simplify (+ 0 0) into 0 47.745 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 47.746 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 47.748 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 47.750 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 47.750 * [taylor]: Taking taylor expansion of 0 in k 47.750 * [backup-simplify]: Simplify 0 into 0 47.750 * [backup-simplify]: Simplify 0 into 0 47.750 * [backup-simplify]: Simplify 0 into 0 47.752 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 47.753 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 47.756 * [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 47.757 * [backup-simplify]: Simplify (+ 0 0) into 0 47.757 * [backup-simplify]: Simplify (- 0) into 0 47.758 * [backup-simplify]: Simplify (+ 0 0) into 0 47.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 47.762 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 47.766 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 47.771 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 47.780 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 47.781 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 47.781 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0 47.781 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 47.781 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 47.781 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 47.781 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 47.781 * [taylor]: Taking taylor expansion of 1/4 in k 47.781 * [backup-simplify]: Simplify 1/4 into 1/4 47.781 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 47.781 * [taylor]: Taking taylor expansion of 1 in k 47.781 * [backup-simplify]: Simplify 1 into 1 47.781 * [taylor]: Taking taylor expansion of (/ 1 k) in k 47.781 * [taylor]: Taking taylor expansion of k in k 47.781 * [backup-simplify]: Simplify 0 into 0 47.781 * [backup-simplify]: Simplify 1 into 1 47.782 * [backup-simplify]: Simplify (/ 1 1) into 1 47.782 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 47.782 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 47.782 * [taylor]: Taking taylor expansion of 2 in k 47.782 * [backup-simplify]: Simplify 2 into 2 47.782 * [taylor]: Taking taylor expansion of (/ PI n) in k 47.782 * [taylor]: Taking taylor expansion of PI in k 47.782 * [backup-simplify]: Simplify PI into PI 47.782 * [taylor]: Taking taylor expansion of n in k 47.782 * [backup-simplify]: Simplify n into n 47.782 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 47.782 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 47.782 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 47.783 * [backup-simplify]: Simplify (- 1) into -1 47.783 * [backup-simplify]: Simplify (+ 0 -1) into -1 47.784 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 47.784 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 47.784 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 47.784 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 47.784 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 47.784 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 47.784 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 47.784 * [taylor]: Taking taylor expansion of 1/4 in n 47.784 * [backup-simplify]: Simplify 1/4 into 1/4 47.784 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 47.784 * [taylor]: Taking taylor expansion of 1 in n 47.784 * [backup-simplify]: Simplify 1 into 1 47.784 * [taylor]: Taking taylor expansion of (/ 1 k) in n 47.784 * [taylor]: Taking taylor expansion of k in n 47.784 * [backup-simplify]: Simplify k into k 47.784 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 47.784 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 47.784 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 47.784 * [taylor]: Taking taylor expansion of 2 in n 47.784 * [backup-simplify]: Simplify 2 into 2 47.784 * [taylor]: Taking taylor expansion of (/ PI n) in n 47.785 * [taylor]: Taking taylor expansion of PI in n 47.785 * [backup-simplify]: Simplify PI into PI 47.785 * [taylor]: Taking taylor expansion of n in n 47.785 * [backup-simplify]: Simplify 0 into 0 47.785 * [backup-simplify]: Simplify 1 into 1 47.785 * [backup-simplify]: Simplify (/ PI 1) into PI 47.786 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 47.787 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 47.787 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 47.787 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 47.787 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 47.788 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 47.789 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 47.790 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 47.791 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 47.791 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 47.791 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 47.791 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 47.791 * [taylor]: Taking taylor expansion of 1/4 in n 47.791 * [backup-simplify]: Simplify 1/4 into 1/4 47.791 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 47.791 * [taylor]: Taking taylor expansion of 1 in n 47.791 * [backup-simplify]: Simplify 1 into 1 47.791 * [taylor]: Taking taylor expansion of (/ 1 k) in n 47.791 * [taylor]: Taking taylor expansion of k in n 47.791 * [backup-simplify]: Simplify k into k 47.791 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 47.791 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 47.791 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 47.791 * [taylor]: Taking taylor expansion of 2 in n 47.791 * [backup-simplify]: Simplify 2 into 2 47.791 * [taylor]: Taking taylor expansion of (/ PI n) in n 47.791 * [taylor]: Taking taylor expansion of PI in n 47.791 * [backup-simplify]: Simplify PI into PI 47.791 * [taylor]: Taking taylor expansion of n in n 47.791 * [backup-simplify]: Simplify 0 into 0 47.791 * [backup-simplify]: Simplify 1 into 1 47.792 * [backup-simplify]: Simplify (/ PI 1) into PI 47.792 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 47.793 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 47.793 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 47.794 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 47.794 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 47.795 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 47.796 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 47.797 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 47.797 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 47.797 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 47.797 * [taylor]: Taking taylor expansion of 1/4 in k 47.797 * [backup-simplify]: Simplify 1/4 into 1/4 47.797 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 47.797 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 47.797 * [taylor]: Taking taylor expansion of 1 in k 47.798 * [backup-simplify]: Simplify 1 into 1 47.798 * [taylor]: Taking taylor expansion of (/ 1 k) in k 47.798 * [taylor]: Taking taylor expansion of k in k 47.798 * [backup-simplify]: Simplify 0 into 0 47.798 * [backup-simplify]: Simplify 1 into 1 47.798 * [backup-simplify]: Simplify (/ 1 1) into 1 47.798 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 47.798 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 47.798 * [taylor]: Taking taylor expansion of (* 2 PI) in k 47.798 * [taylor]: Taking taylor expansion of 2 in k 47.798 * [backup-simplify]: Simplify 2 into 2 47.798 * [taylor]: Taking taylor expansion of PI in k 47.798 * [backup-simplify]: Simplify PI into PI 47.799 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 47.800 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 47.800 * [taylor]: Taking taylor expansion of (log n) in k 47.800 * [taylor]: Taking taylor expansion of n in k 47.800 * [backup-simplify]: Simplify n into n 47.800 * [backup-simplify]: Simplify (log n) into (log n) 47.800 * [backup-simplify]: Simplify (- 1) into -1 47.801 * [backup-simplify]: Simplify (+ 0 -1) into -1 47.801 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 47.802 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 47.803 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 47.804 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 47.805 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 47.806 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 47.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 47.808 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 47.809 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 47.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 47.810 * [backup-simplify]: Simplify (- 0) into 0 47.810 * [backup-simplify]: Simplify (+ 0 0) into 0 47.811 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 47.812 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 47.813 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 47.815 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 47.815 * [taylor]: Taking taylor expansion of 0 in k 47.815 * [backup-simplify]: Simplify 0 into 0 47.815 * [backup-simplify]: Simplify 0 into 0 47.815 * [backup-simplify]: Simplify 0 into 0 47.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 47.817 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 47.821 * [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 47.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 47.821 * [backup-simplify]: Simplify (- 0) into 0 47.822 * [backup-simplify]: Simplify (+ 0 0) into 0 47.823 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 47.824 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 47.826 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 47.829 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 47.829 * [taylor]: Taking taylor expansion of 0 in k 47.829 * [backup-simplify]: Simplify 0 into 0 47.829 * [backup-simplify]: Simplify 0 into 0 47.829 * [backup-simplify]: Simplify 0 into 0 47.829 * [backup-simplify]: Simplify 0 into 0 47.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 47.831 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 47.836 * [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 47.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 47.836 * [backup-simplify]: Simplify (- 0) into 0 47.836 * [backup-simplify]: Simplify (+ 0 0) into 0 47.837 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 47.838 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 47.839 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 47.841 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 47.841 * [taylor]: Taking taylor expansion of 0 in k 47.841 * [backup-simplify]: Simplify 0 into 0 47.841 * [backup-simplify]: Simplify 0 into 0 47.841 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 47.842 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 47.842 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0 47.842 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 47.842 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 47.842 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 47.842 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 47.842 * [taylor]: Taking taylor expansion of 1/4 in k 47.842 * [backup-simplify]: Simplify 1/4 into 1/4 47.842 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 47.842 * [taylor]: Taking taylor expansion of (/ 1 k) in k 47.842 * [taylor]: Taking taylor expansion of k in k 47.842 * [backup-simplify]: Simplify 0 into 0 47.842 * [backup-simplify]: Simplify 1 into 1 47.842 * [backup-simplify]: Simplify (/ 1 1) into 1 47.842 * [taylor]: Taking taylor expansion of 1 in k 47.842 * [backup-simplify]: Simplify 1 into 1 47.842 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 47.842 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 47.842 * [taylor]: Taking taylor expansion of -2 in k 47.842 * [backup-simplify]: Simplify -2 into -2 47.842 * [taylor]: Taking taylor expansion of (/ PI n) in k 47.842 * [taylor]: Taking taylor expansion of PI in k 47.843 * [backup-simplify]: Simplify PI into PI 47.843 * [taylor]: Taking taylor expansion of n in k 47.843 * [backup-simplify]: Simplify n into n 47.843 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 47.843 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 47.843 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 47.843 * [backup-simplify]: Simplify (+ 1 0) into 1 47.843 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 47.843 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 47.843 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 47.843 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 47.843 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 47.843 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 47.843 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 47.844 * [taylor]: Taking taylor expansion of 1/4 in n 47.844 * [backup-simplify]: Simplify 1/4 into 1/4 47.844 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 47.844 * [taylor]: Taking taylor expansion of (/ 1 k) in n 47.844 * [taylor]: Taking taylor expansion of k in n 47.844 * [backup-simplify]: Simplify k into k 47.844 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 47.844 * [taylor]: Taking taylor expansion of 1 in n 47.844 * [backup-simplify]: Simplify 1 into 1 47.844 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 47.844 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 47.844 * [taylor]: Taking taylor expansion of -2 in n 47.844 * [backup-simplify]: Simplify -2 into -2 47.844 * [taylor]: Taking taylor expansion of (/ PI n) in n 47.844 * [taylor]: Taking taylor expansion of PI in n 47.844 * [backup-simplify]: Simplify PI into PI 47.844 * [taylor]: Taking taylor expansion of n in n 47.844 * [backup-simplify]: Simplify 0 into 0 47.844 * [backup-simplify]: Simplify 1 into 1 47.844 * [backup-simplify]: Simplify (/ PI 1) into PI 47.844 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 47.845 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 47.845 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 47.845 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 47.846 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 47.847 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 47.847 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 47.847 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 47.847 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 47.847 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 47.847 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 47.847 * [taylor]: Taking taylor expansion of 1/4 in n 47.847 * [backup-simplify]: Simplify 1/4 into 1/4 47.847 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 47.848 * [taylor]: Taking taylor expansion of (/ 1 k) in n 47.848 * [taylor]: Taking taylor expansion of k in n 47.848 * [backup-simplify]: Simplify k into k 47.848 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 47.848 * [taylor]: Taking taylor expansion of 1 in n 47.848 * [backup-simplify]: Simplify 1 into 1 47.848 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 47.848 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 47.848 * [taylor]: Taking taylor expansion of -2 in n 47.848 * [backup-simplify]: Simplify -2 into -2 47.848 * [taylor]: Taking taylor expansion of (/ PI n) in n 47.848 * [taylor]: Taking taylor expansion of PI in n 47.848 * [backup-simplify]: Simplify PI into PI 47.848 * [taylor]: Taking taylor expansion of n in n 47.848 * [backup-simplify]: Simplify 0 into 0 47.848 * [backup-simplify]: Simplify 1 into 1 47.848 * [backup-simplify]: Simplify (/ PI 1) into PI 47.848 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 47.849 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 47.849 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 47.849 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 47.850 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 47.855 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 47.856 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 47.856 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 47.856 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 47.856 * [taylor]: Taking taylor expansion of 1/4 in k 47.856 * [backup-simplify]: Simplify 1/4 into 1/4 47.856 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 47.856 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 47.856 * [taylor]: Taking taylor expansion of (/ 1 k) in k 47.856 * [taylor]: Taking taylor expansion of k in k 47.856 * [backup-simplify]: Simplify 0 into 0 47.856 * [backup-simplify]: Simplify 1 into 1 47.857 * [backup-simplify]: Simplify (/ 1 1) into 1 47.857 * [taylor]: Taking taylor expansion of 1 in k 47.857 * [backup-simplify]: Simplify 1 into 1 47.857 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 47.857 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 47.857 * [taylor]: Taking taylor expansion of (* -2 PI) in k 47.857 * [taylor]: Taking taylor expansion of -2 in k 47.857 * [backup-simplify]: Simplify -2 into -2 47.857 * [taylor]: Taking taylor expansion of PI in k 47.857 * [backup-simplify]: Simplify PI into PI 47.857 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 47.858 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 47.858 * [taylor]: Taking taylor expansion of (log n) in k 47.858 * [taylor]: Taking taylor expansion of n in k 47.858 * [backup-simplify]: Simplify n into n 47.858 * [backup-simplify]: Simplify (log n) into (log n) 47.858 * [backup-simplify]: Simplify (+ 1 0) into 1 47.858 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 47.859 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 47.859 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 47.860 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 47.861 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 47.861 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 47.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 47.862 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 47.863 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 47.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 47.864 * [backup-simplify]: Simplify (+ 0 0) into 0 47.864 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 47.865 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 47.865 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 47.867 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 47.867 * [taylor]: Taking taylor expansion of 0 in k 47.867 * [backup-simplify]: Simplify 0 into 0 47.867 * [backup-simplify]: Simplify 0 into 0 47.867 * [backup-simplify]: Simplify 0 into 0 47.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 47.869 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 47.873 * [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 47.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 47.873 * [backup-simplify]: Simplify (+ 0 0) into 0 47.874 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 47.876 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 47.877 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 47.880 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 47.880 * [taylor]: Taking taylor expansion of 0 in k 47.880 * [backup-simplify]: Simplify 0 into 0 47.880 * [backup-simplify]: Simplify 0 into 0 47.880 * [backup-simplify]: Simplify 0 into 0 47.880 * [backup-simplify]: Simplify 0 into 0 47.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 47.882 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 47.889 * [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 47.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 47.889 * [backup-simplify]: Simplify (+ 0 0) into 0 47.891 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 47.892 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 47.894 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 47.897 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 47.897 * [taylor]: Taking taylor expansion of 0 in k 47.897 * [backup-simplify]: Simplify 0 into 0 47.897 * [backup-simplify]: Simplify 0 into 0 47.898 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 47.898 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 47.899 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 47.899 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0 47.899 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 47.899 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 47.899 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 47.899 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 47.899 * [taylor]: Taking taylor expansion of 1/4 in k 47.899 * [backup-simplify]: Simplify 1/4 into 1/4 47.899 * [taylor]: Taking taylor expansion of (- 1 k) in k 47.899 * [taylor]: Taking taylor expansion of 1 in k 47.899 * [backup-simplify]: Simplify 1 into 1 47.899 * [taylor]: Taking taylor expansion of k in k 47.899 * [backup-simplify]: Simplify 0 into 0 47.899 * [backup-simplify]: Simplify 1 into 1 47.899 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 47.899 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 47.899 * [taylor]: Taking taylor expansion of 2 in k 47.899 * [backup-simplify]: Simplify 2 into 2 47.899 * [taylor]: Taking taylor expansion of (* n PI) in k 47.899 * [taylor]: Taking taylor expansion of n in k 47.899 * [backup-simplify]: Simplify n into n 47.899 * [taylor]: Taking taylor expansion of PI in k 47.899 * [backup-simplify]: Simplify PI into PI 47.900 * [backup-simplify]: Simplify (* n PI) into (* n PI) 47.900 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 47.900 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 47.900 * [backup-simplify]: Simplify (- 0) into 0 47.901 * [backup-simplify]: Simplify (+ 1 0) into 1 47.901 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 47.901 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 47.901 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 47.901 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 47.901 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 47.901 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 47.901 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 47.901 * [taylor]: Taking taylor expansion of 1/4 in n 47.901 * [backup-simplify]: Simplify 1/4 into 1/4 47.901 * [taylor]: Taking taylor expansion of (- 1 k) in n 47.901 * [taylor]: Taking taylor expansion of 1 in n 47.901 * [backup-simplify]: Simplify 1 into 1 47.902 * [taylor]: Taking taylor expansion of k in n 47.902 * [backup-simplify]: Simplify k into k 47.902 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 47.902 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 47.902 * [taylor]: Taking taylor expansion of 2 in n 47.902 * [backup-simplify]: Simplify 2 into 2 47.902 * [taylor]: Taking taylor expansion of (* n PI) in n 47.902 * [taylor]: Taking taylor expansion of n in n 47.902 * [backup-simplify]: Simplify 0 into 0 47.902 * [backup-simplify]: Simplify 1 into 1 47.902 * [taylor]: Taking taylor expansion of PI in n 47.902 * [backup-simplify]: Simplify PI into PI 47.902 * [backup-simplify]: Simplify (* 0 PI) into 0 47.903 * [backup-simplify]: Simplify (* 2 0) into 0 47.904 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 47.906 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 47.907 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 47.907 * [backup-simplify]: Simplify (- k) into (- k) 47.907 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 47.907 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 47.908 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 47.909 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 47.911 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 47.911 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 47.911 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 47.911 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 47.911 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 47.911 * [taylor]: Taking taylor expansion of 1/4 in n 47.911 * [backup-simplify]: Simplify 1/4 into 1/4 47.911 * [taylor]: Taking taylor expansion of (- 1 k) in n 47.911 * [taylor]: Taking taylor expansion of 1 in n 47.911 * [backup-simplify]: Simplify 1 into 1 47.911 * [taylor]: Taking taylor expansion of k in n 47.911 * [backup-simplify]: Simplify k into k 47.911 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 47.911 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 47.911 * [taylor]: Taking taylor expansion of 2 in n 47.911 * [backup-simplify]: Simplify 2 into 2 47.911 * [taylor]: Taking taylor expansion of (* n PI) in n 47.911 * [taylor]: Taking taylor expansion of n in n 47.911 * [backup-simplify]: Simplify 0 into 0 47.911 * [backup-simplify]: Simplify 1 into 1 47.911 * [taylor]: Taking taylor expansion of PI in n 47.911 * [backup-simplify]: Simplify PI into PI 47.912 * [backup-simplify]: Simplify (* 0 PI) into 0 47.912 * [backup-simplify]: Simplify (* 2 0) into 0 47.914 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 47.915 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 47.916 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 47.916 * [backup-simplify]: Simplify (- k) into (- k) 47.916 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 47.916 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 47.918 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 47.919 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 47.920 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 47.920 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 47.920 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 47.920 * [taylor]: Taking taylor expansion of 1/4 in k 47.920 * [backup-simplify]: Simplify 1/4 into 1/4 47.920 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 47.920 * [taylor]: Taking taylor expansion of (- 1 k) in k 47.920 * [taylor]: Taking taylor expansion of 1 in k 47.920 * [backup-simplify]: Simplify 1 into 1 47.920 * [taylor]: Taking taylor expansion of k in k 47.920 * [backup-simplify]: Simplify 0 into 0 47.920 * [backup-simplify]: Simplify 1 into 1 47.920 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 47.920 * [taylor]: Taking taylor expansion of (log n) in k 47.921 * [taylor]: Taking taylor expansion of n in k 47.921 * [backup-simplify]: Simplify n into n 47.921 * [backup-simplify]: Simplify (log n) into (log n) 47.921 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 47.921 * [taylor]: Taking taylor expansion of (* 2 PI) in k 47.921 * [taylor]: Taking taylor expansion of 2 in k 47.921 * [backup-simplify]: Simplify 2 into 2 47.921 * [taylor]: Taking taylor expansion of PI in k 47.921 * [backup-simplify]: Simplify PI into PI 47.921 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 47.922 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 47.923 * [backup-simplify]: Simplify (- 0) into 0 47.923 * [backup-simplify]: Simplify (+ 1 0) into 1 47.924 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 47.925 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 47.926 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 47.927 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 47.928 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 47.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 47.930 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 47.932 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 47.933 * [backup-simplify]: Simplify (- 0) into 0 47.934 * [backup-simplify]: Simplify (+ 0 0) into 0 47.934 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 47.936 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 47.937 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 47.939 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 47.939 * [taylor]: Taking taylor expansion of 0 in k 47.939 * [backup-simplify]: Simplify 0 into 0 47.939 * [backup-simplify]: Simplify 0 into 0 47.940 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 47.941 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 47.943 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 47.943 * [backup-simplify]: Simplify (+ 0 0) into 0 47.943 * [backup-simplify]: Simplify (- 1) into -1 47.944 * [backup-simplify]: Simplify (+ 0 -1) into -1 47.945 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 47.947 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 47.951 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 47.953 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 47.955 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 47.956 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 47.960 * [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 47.960 * [backup-simplify]: Simplify (- 0) into 0 47.960 * [backup-simplify]: Simplify (+ 0 0) into 0 47.961 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 47.963 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 47.964 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 47.967 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 47.967 * [taylor]: Taking taylor expansion of 0 in k 47.967 * [backup-simplify]: Simplify 0 into 0 47.967 * [backup-simplify]: Simplify 0 into 0 47.967 * [backup-simplify]: Simplify 0 into 0 47.969 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 47.970 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 47.973 * [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 47.973 * [backup-simplify]: Simplify (+ 0 0) into 0 47.974 * [backup-simplify]: Simplify (- 0) into 0 47.974 * [backup-simplify]: Simplify (+ 0 0) into 0 47.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 47.979 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 47.982 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 47.987 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 48.003 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 48.004 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 48.004 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0 48.004 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 48.004 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 48.004 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 48.004 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 48.004 * [taylor]: Taking taylor expansion of 1/4 in k 48.004 * [backup-simplify]: Simplify 1/4 into 1/4 48.004 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 48.004 * [taylor]: Taking taylor expansion of 1 in k 48.004 * [backup-simplify]: Simplify 1 into 1 48.004 * [taylor]: Taking taylor expansion of (/ 1 k) in k 48.004 * [taylor]: Taking taylor expansion of k in k 48.004 * [backup-simplify]: Simplify 0 into 0 48.005 * [backup-simplify]: Simplify 1 into 1 48.005 * [backup-simplify]: Simplify (/ 1 1) into 1 48.005 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 48.005 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 48.005 * [taylor]: Taking taylor expansion of 2 in k 48.005 * [backup-simplify]: Simplify 2 into 2 48.005 * [taylor]: Taking taylor expansion of (/ PI n) in k 48.005 * [taylor]: Taking taylor expansion of PI in k 48.005 * [backup-simplify]: Simplify PI into PI 48.005 * [taylor]: Taking taylor expansion of n in k 48.005 * [backup-simplify]: Simplify n into n 48.005 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 48.005 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 48.006 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 48.006 * [backup-simplify]: Simplify (- 1) into -1 48.007 * [backup-simplify]: Simplify (+ 0 -1) into -1 48.007 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 48.007 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 48.007 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 48.007 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 48.007 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 48.007 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 48.007 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 48.007 * [taylor]: Taking taylor expansion of 1/4 in n 48.008 * [backup-simplify]: Simplify 1/4 into 1/4 48.008 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 48.008 * [taylor]: Taking taylor expansion of 1 in n 48.008 * [backup-simplify]: Simplify 1 into 1 48.008 * [taylor]: Taking taylor expansion of (/ 1 k) in n 48.008 * [taylor]: Taking taylor expansion of k in n 48.008 * [backup-simplify]: Simplify k into k 48.008 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 48.008 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 48.008 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 48.008 * [taylor]: Taking taylor expansion of 2 in n 48.008 * [backup-simplify]: Simplify 2 into 2 48.008 * [taylor]: Taking taylor expansion of (/ PI n) in n 48.008 * [taylor]: Taking taylor expansion of PI in n 48.008 * [backup-simplify]: Simplify PI into PI 48.008 * [taylor]: Taking taylor expansion of n in n 48.008 * [backup-simplify]: Simplify 0 into 0 48.008 * [backup-simplify]: Simplify 1 into 1 48.008 * [backup-simplify]: Simplify (/ PI 1) into PI 48.009 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 48.010 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 48.010 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 48.010 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 48.010 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 48.012 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 48.013 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 48.014 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 48.014 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 48.014 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 48.014 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 48.014 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 48.014 * [taylor]: Taking taylor expansion of 1/4 in n 48.014 * [backup-simplify]: Simplify 1/4 into 1/4 48.014 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 48.014 * [taylor]: Taking taylor expansion of 1 in n 48.014 * [backup-simplify]: Simplify 1 into 1 48.014 * [taylor]: Taking taylor expansion of (/ 1 k) in n 48.014 * [taylor]: Taking taylor expansion of k in n 48.014 * [backup-simplify]: Simplify k into k 48.014 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 48.014 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 48.014 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 48.014 * [taylor]: Taking taylor expansion of 2 in n 48.015 * [backup-simplify]: Simplify 2 into 2 48.015 * [taylor]: Taking taylor expansion of (/ PI n) in n 48.015 * [taylor]: Taking taylor expansion of PI in n 48.015 * [backup-simplify]: Simplify PI into PI 48.015 * [taylor]: Taking taylor expansion of n in n 48.015 * [backup-simplify]: Simplify 0 into 0 48.015 * [backup-simplify]: Simplify 1 into 1 48.015 * [backup-simplify]: Simplify (/ PI 1) into PI 48.016 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 48.017 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 48.017 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 48.017 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 48.017 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 48.018 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 48.019 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 48.021 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 48.021 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 48.021 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 48.021 * [taylor]: Taking taylor expansion of 1/4 in k 48.021 * [backup-simplify]: Simplify 1/4 into 1/4 48.021 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 48.021 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 48.021 * [taylor]: Taking taylor expansion of 1 in k 48.021 * [backup-simplify]: Simplify 1 into 1 48.021 * [taylor]: Taking taylor expansion of (/ 1 k) in k 48.021 * [taylor]: Taking taylor expansion of k in k 48.021 * [backup-simplify]: Simplify 0 into 0 48.021 * [backup-simplify]: Simplify 1 into 1 48.021 * [backup-simplify]: Simplify (/ 1 1) into 1 48.021 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 48.021 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 48.021 * [taylor]: Taking taylor expansion of (* 2 PI) in k 48.021 * [taylor]: Taking taylor expansion of 2 in k 48.022 * [backup-simplify]: Simplify 2 into 2 48.022 * [taylor]: Taking taylor expansion of PI in k 48.022 * [backup-simplify]: Simplify PI into PI 48.022 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 48.023 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 48.023 * [taylor]: Taking taylor expansion of (log n) in k 48.023 * [taylor]: Taking taylor expansion of n in k 48.023 * [backup-simplify]: Simplify n into n 48.023 * [backup-simplify]: Simplify (log n) into (log n) 48.024 * [backup-simplify]: Simplify (- 1) into -1 48.024 * [backup-simplify]: Simplify (+ 0 -1) into -1 48.024 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 48.025 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 48.026 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 48.027 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 48.028 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 48.030 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 48.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 48.032 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 48.033 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 48.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 48.034 * [backup-simplify]: Simplify (- 0) into 0 48.035 * [backup-simplify]: Simplify (+ 0 0) into 0 48.035 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 48.037 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 48.038 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 48.040 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 48.040 * [taylor]: Taking taylor expansion of 0 in k 48.040 * [backup-simplify]: Simplify 0 into 0 48.040 * [backup-simplify]: Simplify 0 into 0 48.040 * [backup-simplify]: Simplify 0 into 0 48.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 48.042 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 48.046 * [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 48.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 48.046 * [backup-simplify]: Simplify (- 0) into 0 48.047 * [backup-simplify]: Simplify (+ 0 0) into 0 48.048 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 48.049 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 48.051 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 48.053 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 48.053 * [taylor]: Taking taylor expansion of 0 in k 48.053 * [backup-simplify]: Simplify 0 into 0 48.053 * [backup-simplify]: Simplify 0 into 0 48.053 * [backup-simplify]: Simplify 0 into 0 48.054 * [backup-simplify]: Simplify 0 into 0 48.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 48.055 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 48.058 * [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 48.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 48.058 * [backup-simplify]: Simplify (- 0) into 0 48.059 * [backup-simplify]: Simplify (+ 0 0) into 0 48.059 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 48.060 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 48.061 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 48.063 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 48.063 * [taylor]: Taking taylor expansion of 0 in k 48.063 * [backup-simplify]: Simplify 0 into 0 48.063 * [backup-simplify]: Simplify 0 into 0 48.063 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 48.064 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 48.064 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0 48.064 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 48.064 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 48.064 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 48.064 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 48.064 * [taylor]: Taking taylor expansion of 1/4 in k 48.064 * [backup-simplify]: Simplify 1/4 into 1/4 48.064 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 48.064 * [taylor]: Taking taylor expansion of (/ 1 k) in k 48.064 * [taylor]: Taking taylor expansion of k in k 48.064 * [backup-simplify]: Simplify 0 into 0 48.064 * [backup-simplify]: Simplify 1 into 1 48.064 * [backup-simplify]: Simplify (/ 1 1) into 1 48.064 * [taylor]: Taking taylor expansion of 1 in k 48.064 * [backup-simplify]: Simplify 1 into 1 48.064 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 48.064 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 48.064 * [taylor]: Taking taylor expansion of -2 in k 48.064 * [backup-simplify]: Simplify -2 into -2 48.064 * [taylor]: Taking taylor expansion of (/ PI n) in k 48.064 * [taylor]: Taking taylor expansion of PI in k 48.064 * [backup-simplify]: Simplify PI into PI 48.064 * [taylor]: Taking taylor expansion of n in k 48.064 * [backup-simplify]: Simplify n into n 48.065 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 48.065 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 48.065 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 48.065 * [backup-simplify]: Simplify (+ 1 0) into 1 48.065 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 48.065 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 48.065 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 48.065 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 48.065 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 48.065 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 48.065 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 48.065 * [taylor]: Taking taylor expansion of 1/4 in n 48.065 * [backup-simplify]: Simplify 1/4 into 1/4 48.065 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 48.065 * [taylor]: Taking taylor expansion of (/ 1 k) in n 48.066 * [taylor]: Taking taylor expansion of k in n 48.066 * [backup-simplify]: Simplify k into k 48.066 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 48.066 * [taylor]: Taking taylor expansion of 1 in n 48.066 * [backup-simplify]: Simplify 1 into 1 48.066 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 48.066 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 48.066 * [taylor]: Taking taylor expansion of -2 in n 48.066 * [backup-simplify]: Simplify -2 into -2 48.066 * [taylor]: Taking taylor expansion of (/ PI n) in n 48.066 * [taylor]: Taking taylor expansion of PI in n 48.066 * [backup-simplify]: Simplify PI into PI 48.066 * [taylor]: Taking taylor expansion of n in n 48.066 * [backup-simplify]: Simplify 0 into 0 48.066 * [backup-simplify]: Simplify 1 into 1 48.066 * [backup-simplify]: Simplify (/ PI 1) into PI 48.066 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 48.067 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 48.067 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 48.067 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 48.068 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 48.069 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 48.069 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 48.069 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 48.069 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 48.069 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 48.069 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 48.069 * [taylor]: Taking taylor expansion of 1/4 in n 48.069 * [backup-simplify]: Simplify 1/4 into 1/4 48.069 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 48.069 * [taylor]: Taking taylor expansion of (/ 1 k) in n 48.069 * [taylor]: Taking taylor expansion of k in n 48.069 * [backup-simplify]: Simplify k into k 48.069 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 48.069 * [taylor]: Taking taylor expansion of 1 in n 48.069 * [backup-simplify]: Simplify 1 into 1 48.069 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 48.070 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 48.070 * [taylor]: Taking taylor expansion of -2 in n 48.070 * [backup-simplify]: Simplify -2 into -2 48.070 * [taylor]: Taking taylor expansion of (/ PI n) in n 48.070 * [taylor]: Taking taylor expansion of PI in n 48.070 * [backup-simplify]: Simplify PI into PI 48.070 * [taylor]: Taking taylor expansion of n in n 48.070 * [backup-simplify]: Simplify 0 into 0 48.070 * [backup-simplify]: Simplify 1 into 1 48.070 * [backup-simplify]: Simplify (/ PI 1) into PI 48.070 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 48.071 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 48.071 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 48.071 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 48.072 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 48.072 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 48.073 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 48.073 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 48.073 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 48.073 * [taylor]: Taking taylor expansion of 1/4 in k 48.073 * [backup-simplify]: Simplify 1/4 into 1/4 48.073 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 48.073 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 48.073 * [taylor]: Taking taylor expansion of (/ 1 k) in k 48.073 * [taylor]: Taking taylor expansion of k in k 48.073 * [backup-simplify]: Simplify 0 into 0 48.073 * [backup-simplify]: Simplify 1 into 1 48.074 * [backup-simplify]: Simplify (/ 1 1) into 1 48.074 * [taylor]: Taking taylor expansion of 1 in k 48.074 * [backup-simplify]: Simplify 1 into 1 48.074 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 48.074 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 48.074 * [taylor]: Taking taylor expansion of (* -2 PI) in k 48.074 * [taylor]: Taking taylor expansion of -2 in k 48.074 * [backup-simplify]: Simplify -2 into -2 48.074 * [taylor]: Taking taylor expansion of PI in k 48.074 * [backup-simplify]: Simplify PI into PI 48.074 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 48.075 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 48.075 * [taylor]: Taking taylor expansion of (log n) in k 48.075 * [taylor]: Taking taylor expansion of n in k 48.075 * [backup-simplify]: Simplify n into n 48.075 * [backup-simplify]: Simplify (log n) into (log n) 48.075 * [backup-simplify]: Simplify (+ 1 0) into 1 48.075 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 48.076 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 48.076 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 48.077 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 48.077 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 48.078 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 48.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 48.079 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 48.080 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 48.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 48.080 * [backup-simplify]: Simplify (+ 0 0) into 0 48.081 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 48.081 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 48.082 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 48.083 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 48.083 * [taylor]: Taking taylor expansion of 0 in k 48.083 * [backup-simplify]: Simplify 0 into 0 48.083 * [backup-simplify]: Simplify 0 into 0 48.083 * [backup-simplify]: Simplify 0 into 0 48.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 48.084 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 48.086 * [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 48.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 48.087 * [backup-simplify]: Simplify (+ 0 0) into 0 48.087 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 48.088 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 48.089 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 48.090 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 48.090 * [taylor]: Taking taylor expansion of 0 in k 48.090 * [backup-simplify]: Simplify 0 into 0 48.090 * [backup-simplify]: Simplify 0 into 0 48.090 * [backup-simplify]: Simplify 0 into 0 48.090 * [backup-simplify]: Simplify 0 into 0 48.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 48.092 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 48.098 * [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 48.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 48.099 * [backup-simplify]: Simplify (+ 0 0) into 0 48.101 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 48.102 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 48.104 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 48.106 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 48.107 * [taylor]: Taking taylor expansion of 0 in k 48.107 * [backup-simplify]: Simplify 0 into 0 48.107 * [backup-simplify]: Simplify 0 into 0 48.108 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 48.108 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 48.108 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 48.108 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 48.108 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 48.109 * [taylor]: Taking taylor expansion of 2 in n 48.109 * [backup-simplify]: Simplify 2 into 2 48.109 * [taylor]: Taking taylor expansion of (* n PI) in n 48.109 * [taylor]: Taking taylor expansion of n in n 48.109 * [backup-simplify]: Simplify 0 into 0 48.109 * [backup-simplify]: Simplify 1 into 1 48.109 * [taylor]: Taking taylor expansion of PI in n 48.109 * [backup-simplify]: Simplify PI into PI 48.109 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 48.109 * [taylor]: Taking taylor expansion of 2 in n 48.109 * [backup-simplify]: Simplify 2 into 2 48.109 * [taylor]: Taking taylor expansion of (* n PI) in n 48.109 * [taylor]: Taking taylor expansion of n in n 48.109 * [backup-simplify]: Simplify 0 into 0 48.109 * [backup-simplify]: Simplify 1 into 1 48.109 * [taylor]: Taking taylor expansion of PI in n 48.109 * [backup-simplify]: Simplify PI into PI 48.109 * [backup-simplify]: Simplify (* 0 PI) into 0 48.110 * [backup-simplify]: Simplify (* 2 0) into 0 48.110 * [backup-simplify]: Simplify 0 into 0 48.111 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 48.119 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 48.119 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 48.120 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 48.122 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 48.122 * [backup-simplify]: Simplify 0 into 0 48.123 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 48.124 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 48.124 * [backup-simplify]: Simplify 0 into 0 48.125 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 48.127 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 48.127 * [backup-simplify]: Simplify 0 into 0 48.128 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 48.130 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 48.130 * [backup-simplify]: Simplify 0 into 0 48.131 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 48.133 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 48.133 * [backup-simplify]: Simplify 0 into 0 48.135 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 48.137 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 48.137 * [backup-simplify]: Simplify 0 into 0 48.137 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 48.138 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 48.138 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 48.138 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 48.138 * [taylor]: Taking taylor expansion of 2 in n 48.138 * [backup-simplify]: Simplify 2 into 2 48.138 * [taylor]: Taking taylor expansion of (/ PI n) in n 48.138 * [taylor]: Taking taylor expansion of PI in n 48.138 * [backup-simplify]: Simplify PI into PI 48.138 * [taylor]: Taking taylor expansion of n in n 48.138 * [backup-simplify]: Simplify 0 into 0 48.138 * [backup-simplify]: Simplify 1 into 1 48.139 * [backup-simplify]: Simplify (/ PI 1) into PI 48.139 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 48.139 * [taylor]: Taking taylor expansion of 2 in n 48.139 * [backup-simplify]: Simplify 2 into 2 48.139 * [taylor]: Taking taylor expansion of (/ PI n) in n 48.139 * [taylor]: Taking taylor expansion of PI in n 48.139 * [backup-simplify]: Simplify PI into PI 48.139 * [taylor]: Taking taylor expansion of n in n 48.139 * [backup-simplify]: Simplify 0 into 0 48.139 * [backup-simplify]: Simplify 1 into 1 48.139 * [backup-simplify]: Simplify (/ PI 1) into PI 48.140 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 48.140 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 48.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 48.142 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 48.142 * [backup-simplify]: Simplify 0 into 0 48.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 48.144 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 48.144 * [backup-simplify]: Simplify 0 into 0 48.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 48.146 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 48.146 * [backup-simplify]: Simplify 0 into 0 48.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 48.149 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 48.149 * [backup-simplify]: Simplify 0 into 0 48.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 48.152 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 48.152 * [backup-simplify]: Simplify 0 into 0 48.153 * [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 48.155 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 48.155 * [backup-simplify]: Simplify 0 into 0 48.156 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 48.156 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 48.156 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 48.156 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 48.156 * [taylor]: Taking taylor expansion of -2 in n 48.156 * [backup-simplify]: Simplify -2 into -2 48.156 * [taylor]: Taking taylor expansion of (/ PI n) in n 48.156 * [taylor]: Taking taylor expansion of PI in n 48.156 * [backup-simplify]: Simplify PI into PI 48.157 * [taylor]: Taking taylor expansion of n in n 48.157 * [backup-simplify]: Simplify 0 into 0 48.157 * [backup-simplify]: Simplify 1 into 1 48.157 * [backup-simplify]: Simplify (/ PI 1) into PI 48.157 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 48.157 * [taylor]: Taking taylor expansion of -2 in n 48.157 * [backup-simplify]: Simplify -2 into -2 48.157 * [taylor]: Taking taylor expansion of (/ PI n) in n 48.157 * [taylor]: Taking taylor expansion of PI in n 48.157 * [backup-simplify]: Simplify PI into PI 48.157 * [taylor]: Taking taylor expansion of n in n 48.157 * [backup-simplify]: Simplify 0 into 0 48.157 * [backup-simplify]: Simplify 1 into 1 48.158 * [backup-simplify]: Simplify (/ PI 1) into PI 48.158 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 48.159 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 48.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 48.161 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 48.161 * [backup-simplify]: Simplify 0 into 0 48.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 48.163 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 48.163 * [backup-simplify]: Simplify 0 into 0 48.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 48.165 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 48.165 * [backup-simplify]: Simplify 0 into 0 48.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 48.168 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 48.168 * [backup-simplify]: Simplify 0 into 0 48.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 48.171 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 48.171 * [backup-simplify]: Simplify 0 into 0 48.172 * [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 48.174 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 48.174 * [backup-simplify]: Simplify 0 into 0 48.174 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 48.174 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 48.175 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 48.175 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 48.175 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 48.175 * [taylor]: Taking taylor expansion of 2 in n 48.175 * [backup-simplify]: Simplify 2 into 2 48.175 * [taylor]: Taking taylor expansion of (* n PI) in n 48.175 * [taylor]: Taking taylor expansion of n in n 48.175 * [backup-simplify]: Simplify 0 into 0 48.175 * [backup-simplify]: Simplify 1 into 1 48.175 * [taylor]: Taking taylor expansion of PI in n 48.175 * [backup-simplify]: Simplify PI into PI 48.175 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 48.175 * [taylor]: Taking taylor expansion of 2 in n 48.175 * [backup-simplify]: Simplify 2 into 2 48.175 * [taylor]: Taking taylor expansion of (* n PI) in n 48.175 * [taylor]: Taking taylor expansion of n in n 48.175 * [backup-simplify]: Simplify 0 into 0 48.175 * [backup-simplify]: Simplify 1 into 1 48.175 * [taylor]: Taking taylor expansion of PI in n 48.175 * [backup-simplify]: Simplify PI into PI 48.176 * [backup-simplify]: Simplify (* 0 PI) into 0 48.176 * [backup-simplify]: Simplify (* 2 0) into 0 48.176 * [backup-simplify]: Simplify 0 into 0 48.178 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 48.179 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 48.180 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 48.181 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 48.182 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 48.182 * [backup-simplify]: Simplify 0 into 0 48.183 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 48.184 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 48.184 * [backup-simplify]: Simplify 0 into 0 48.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 48.187 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 48.187 * [backup-simplify]: Simplify 0 into 0 48.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 48.190 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 48.190 * [backup-simplify]: Simplify 0 into 0 48.191 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 48.193 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 48.193 * [backup-simplify]: Simplify 0 into 0 48.195 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 48.197 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 48.197 * [backup-simplify]: Simplify 0 into 0 48.198 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 48.198 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 48.198 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 48.198 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 48.198 * [taylor]: Taking taylor expansion of 2 in n 48.198 * [backup-simplify]: Simplify 2 into 2 48.199 * [taylor]: Taking taylor expansion of (/ PI n) in n 48.199 * [taylor]: Taking taylor expansion of PI in n 48.199 * [backup-simplify]: Simplify PI into PI 48.199 * [taylor]: Taking taylor expansion of n in n 48.199 * [backup-simplify]: Simplify 0 into 0 48.199 * [backup-simplify]: Simplify 1 into 1 48.199 * [backup-simplify]: Simplify (/ PI 1) into PI 48.199 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 48.199 * [taylor]: Taking taylor expansion of 2 in n 48.199 * [backup-simplify]: Simplify 2 into 2 48.199 * [taylor]: Taking taylor expansion of (/ PI n) in n 48.199 * [taylor]: Taking taylor expansion of PI in n 48.199 * [backup-simplify]: Simplify PI into PI 48.199 * [taylor]: Taking taylor expansion of n in n 48.199 * [backup-simplify]: Simplify 0 into 0 48.199 * [backup-simplify]: Simplify 1 into 1 48.200 * [backup-simplify]: Simplify (/ PI 1) into PI 48.200 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 48.201 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 48.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 48.202 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 48.203 * [backup-simplify]: Simplify 0 into 0 48.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 48.205 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 48.205 * [backup-simplify]: Simplify 0 into 0 48.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 48.207 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 48.207 * [backup-simplify]: Simplify 0 into 0 48.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 48.209 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 48.210 * [backup-simplify]: Simplify 0 into 0 48.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 48.212 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 48.213 * [backup-simplify]: Simplify 0 into 0 48.214 * [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 48.215 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 48.215 * [backup-simplify]: Simplify 0 into 0 48.216 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 48.216 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 48.217 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 48.217 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 48.217 * [taylor]: Taking taylor expansion of -2 in n 48.217 * [backup-simplify]: Simplify -2 into -2 48.217 * [taylor]: Taking taylor expansion of (/ PI n) in n 48.217 * [taylor]: Taking taylor expansion of PI in n 48.217 * [backup-simplify]: Simplify PI into PI 48.217 * [taylor]: Taking taylor expansion of n in n 48.217 * [backup-simplify]: Simplify 0 into 0 48.217 * [backup-simplify]: Simplify 1 into 1 48.217 * [backup-simplify]: Simplify (/ PI 1) into PI 48.217 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 48.217 * [taylor]: Taking taylor expansion of -2 in n 48.217 * [backup-simplify]: Simplify -2 into -2 48.217 * [taylor]: Taking taylor expansion of (/ PI n) in n 48.217 * [taylor]: Taking taylor expansion of PI in n 48.217 * [backup-simplify]: Simplify PI into PI 48.217 * [taylor]: Taking taylor expansion of n in n 48.217 * [backup-simplify]: Simplify 0 into 0 48.217 * [backup-simplify]: Simplify 1 into 1 48.218 * [backup-simplify]: Simplify (/ PI 1) into PI 48.218 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 48.219 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 48.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 48.220 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 48.221 * [backup-simplify]: Simplify 0 into 0 48.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 48.222 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 48.222 * [backup-simplify]: Simplify 0 into 0 48.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 48.225 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 48.225 * [backup-simplify]: Simplify 0 into 0 48.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 48.227 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 48.227 * [backup-simplify]: Simplify 0 into 0 48.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 48.229 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 48.230 * [backup-simplify]: Simplify 0 into 0 48.231 * [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 48.233 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 48.233 * [backup-simplify]: Simplify 0 into 0 48.233 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 48.233 * * * [progress]: simplifying candidates 48.233 * * * * [progress]: [ 1 / 234 ] simplifiying candidate # 48.233 * * * * [progress]: [ 2 / 234 ] simplifiying candidate # 48.233 * * * * [progress]: [ 3 / 234 ] simplifiying candidate # 48.234 * [simplify]: Simplifying (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2)) 48.234 * * [simplify]: iters left: 6 (14 enodes) 48.242 * * [simplify]: iters left: 5 (60 enodes) 48.261 * * [simplify]: iters left: 4 (108 enodes) 48.289 * * [simplify]: iters left: 3 (257 enodes) 48.406 * * [simplify]: Extracting #0: cost 1 inf + 0 48.406 * * [simplify]: Extracting #1: cost 34 inf + 0 48.406 * * [simplify]: Extracting #2: cost 130 inf + 73 48.407 * * [simplify]: Extracting #3: cost 146 inf + 1773 48.410 * * [simplify]: Extracting #4: cost 62 inf + 18751 48.416 * * [simplify]: Extracting #5: cost 1 inf + 33752 48.428 * * [simplify]: Extracting #6: cost 0 inf + 34016 48.442 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log n) (+ (log 2) (log PI)))) 48.442 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (exp (* (/ (- 1 k) 4) (+ (log n) (+ (log 2) (log PI))))))) 48.442 * * * * [progress]: [ 4 / 234 ] simplifiying candidate # 48.442 * [simplify]: Simplifying (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2)) 48.442 * * [simplify]: iters left: 6 (13 enodes) 48.451 * * [simplify]: iters left: 5 (58 enodes) 48.471 * * [simplify]: iters left: 4 (101 enodes) 48.505 * * [simplify]: iters left: 3 (211 enodes) 48.577 * * [simplify]: Extracting #0: cost 1 inf + 0 48.577 * * [simplify]: Extracting #1: cost 28 inf + 0 48.577 * * [simplify]: Extracting #2: cost 110 inf + 73 48.578 * * [simplify]: Extracting #3: cost 132 inf + 822 48.579 * * [simplify]: Extracting #4: cost 75 inf + 9303 48.582 * * [simplify]: Extracting #5: cost 25 inf + 20340 48.587 * * [simplify]: Extracting #6: cost 2 inf + 25585 48.597 * * [simplify]: Extracting #7: cost 0 inf + 26084 48.603 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) 48.603 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (exp (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))))) 48.603 * * * * [progress]: [ 5 / 234 ] simplifiying candidate # 48.603 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)) 48.603 * * [simplify]: iters left: 6 (12 enodes) 48.611 * * [simplify]: iters left: 5 (57 enodes) 48.632 * * [simplify]: iters left: 4 (111 enodes) 48.669 * * [simplify]: iters left: 3 (213 enodes) 48.738 * * [simplify]: iters left: 2 (471 enodes) 48.932 * * [simplify]: Extracting #0: cost 1 inf + 0 48.932 * * [simplify]: Extracting #1: cost 40 inf + 0 48.932 * * [simplify]: Extracting #2: cost 152 inf + 75 48.933 * * [simplify]: Extracting #3: cost 192 inf + 1136 48.937 * * [simplify]: Extracting #4: cost 83 inf + 19108 48.950 * * [simplify]: Extracting #5: cost 6 inf + 35563 48.969 * * [simplify]: Extracting #6: cost 0 inf + 37089 48.987 * [simplify]: Simplified to (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 4) 48.987 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (exp (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 4)))) 48.988 * * * * [progress]: [ 6 / 234 ] simplifiying candidate # 48.988 * * * * [progress]: [ 7 / 234 ] simplifiying candidate # 48.988 * [simplify]: Simplifying (* (* 2 PI) n) 48.988 * * [simplify]: iters left: 4 (5 enodes) 48.991 * * [simplify]: iters left: 3 (19 enodes) 48.994 * * [simplify]: iters left: 2 (27 enodes) 48.998 * * [simplify]: iters left: 1 (32 enodes) 49.002 * * [simplify]: Extracting #0: cost 1 inf + 0 49.002 * * [simplify]: Extracting #1: cost 8 inf + 0 49.003 * * [simplify]: Extracting #2: cost 7 inf + 45 49.003 * * [simplify]: Extracting #3: cost 0 inf + 421 49.003 * [simplify]: Simplified to (* (* 2 PI) n) 49.003 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (* 1 (/ (/ (- 1 k) 2) 2))))) 49.003 * * * * [progress]: [ 8 / 234 ] simplifiying candidate # 49.003 * [simplify]: Simplifying (* (* 2 PI) n) 49.003 * * [simplify]: iters left: 4 (5 enodes) 49.005 * * [simplify]: iters left: 3 (19 enodes) 49.008 * * [simplify]: iters left: 2 (27 enodes) 49.016 * * [simplify]: iters left: 1 (32 enodes) 49.024 * * [simplify]: Extracting #0: cost 1 inf + 0 49.024 * * [simplify]: Extracting #1: cost 8 inf + 0 49.024 * * [simplify]: Extracting #2: cost 7 inf + 45 49.024 * * [simplify]: Extracting #3: cost 0 inf + 421 49.025 * [simplify]: Simplified to (* (* 2 PI) n) 49.025 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (* 1 (/ (/ (- 1 k) 2) 2))))) 49.025 * * * * [progress]: [ 9 / 234 ] simplifiying candidate # 49.025 * [simplify]: Simplifying (* (* 2 PI) n) 49.025 * * [simplify]: iters left: 4 (5 enodes) 49.028 * * [simplify]: iters left: 3 (19 enodes) 49.034 * * [simplify]: iters left: 2 (27 enodes) 49.042 * * [simplify]: iters left: 1 (32 enodes) 49.051 * * [simplify]: Extracting #0: cost 1 inf + 0 49.051 * * [simplify]: Extracting #1: cost 8 inf + 0 49.051 * * [simplify]: Extracting #2: cost 7 inf + 45 49.051 * * [simplify]: Extracting #3: cost 0 inf + 421 49.051 * [simplify]: Simplified to (* (* 2 PI) n) 49.051 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (* 1 (/ (/ (- 1 k) 2) 2))))) 49.052 * * * * [progress]: [ 10 / 234 ] simplifiying candidate # 49.052 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (/ k 2) 2)) 49.052 * * [simplify]: iters left: 5 (9 enodes) 49.057 * * [simplify]: iters left: 4 (37 enodes) 49.064 * * [simplify]: iters left: 3 (57 enodes) 49.073 * * [simplify]: iters left: 2 (93 enodes) 49.094 * * [simplify]: iters left: 1 (170 enodes) 49.161 * * [simplify]: Extracting #0: cost 1 inf + 0 49.161 * * [simplify]: Extracting #1: cost 13 inf + 0 49.161 * * [simplify]: Extracting #2: cost 60 inf + 1 49.162 * * [simplify]: Extracting #3: cost 80 inf + 93 49.163 * * [simplify]: Extracting #4: cost 43 inf + 3168 49.167 * * [simplify]: Extracting #5: cost 12 inf + 13240 49.173 * * [simplify]: Extracting #6: cost 1 inf + 19094 49.178 * * [simplify]: Extracting #7: cost 0 inf + 19509 49.181 * * [simplify]: Extracting #8: cost 0 inf + 19469 49.184 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ k 4)) 49.184 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* 2 PI) n) (/ (/ 1 2) 2)) (pow (* (* 2 PI) n) (/ k 4))))) 49.185 * * * * [progress]: [ 11 / 234 ] simplifiying candidate # 49.185 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2)) 49.185 * * [simplify]: iters left: 6 (7 enodes) 49.188 * * [simplify]: iters left: 5 (32 enodes) 49.194 * * [simplify]: iters left: 4 (47 enodes) 49.201 * * [simplify]: iters left: 3 (53 enodes) 49.210 * * [simplify]: iters left: 2 (60 enodes) 49.222 * * [simplify]: Extracting #0: cost 1 inf + 0 49.222 * * [simplify]: Extracting #1: cost 3 inf + 0 49.222 * * [simplify]: Extracting #2: cost 11 inf + 0 49.222 * * [simplify]: Extracting #3: cost 17 inf + 3 49.223 * * [simplify]: Extracting #4: cost 14 inf + 129 49.223 * * [simplify]: Extracting #5: cost 3 inf + 794 49.223 * * [simplify]: Extracting #6: cost 0 inf + 1162 49.224 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4))) 49.224 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4)))))) 49.224 * * * * [progress]: [ 12 / 234 ] simplifiying candidate # 49.225 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2)) 49.225 * * [simplify]: iters left: 6 (7 enodes) 49.230 * * [simplify]: iters left: 5 (32 enodes) 49.241 * * [simplify]: iters left: 4 (47 enodes) 49.260 * * [simplify]: iters left: 3 (53 enodes) 49.276 * * [simplify]: iters left: 2 (60 enodes) 49.290 * * [simplify]: Extracting #0: cost 1 inf + 0 49.290 * * [simplify]: Extracting #1: cost 3 inf + 0 49.290 * * [simplify]: Extracting #2: cost 11 inf + 0 49.290 * * [simplify]: Extracting #3: cost 17 inf + 3 49.290 * * [simplify]: Extracting #4: cost 14 inf + 129 49.290 * * [simplify]: Extracting #5: cost 3 inf + 794 49.291 * * [simplify]: Extracting #6: cost 0 inf + 1082 49.291 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4))) 49.291 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4)))))) 49.291 * * * * [progress]: [ 13 / 234 ] simplifiying candidate # 49.291 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 49.291 * * [simplify]: iters left: 6 (8 enodes) 49.294 * * [simplify]: iters left: 5 (32 enodes) 49.300 * * [simplify]: iters left: 4 (41 enodes) 49.306 * * [simplify]: Extracting #0: cost 1 inf + 0 49.306 * * [simplify]: Extracting #1: cost 4 inf + 0 49.306 * * [simplify]: Extracting #2: cost 8 inf + 0 49.306 * * [simplify]: Extracting #3: cost 9 inf + 163 49.306 * * [simplify]: Extracting #4: cost 13 inf + 164 49.306 * * [simplify]: Extracting #5: cost 10 inf + 249 49.307 * * [simplify]: Extracting #6: cost 3 inf + 986 49.307 * * [simplify]: Extracting #7: cost 0 inf + 1474 49.307 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 49.307 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))))) 49.307 * * * * [progress]: [ 14 / 234 ] simplifiying candidate # 49.307 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 49.307 * * [simplify]: iters left: 6 (8 enodes) 49.311 * * [simplify]: iters left: 5 (32 enodes) 49.317 * * [simplify]: iters left: 4 (41 enodes) 49.330 * * [simplify]: Extracting #0: cost 1 inf + 0 49.330 * * [simplify]: Extracting #1: cost 4 inf + 0 49.330 * * [simplify]: Extracting #2: cost 8 inf + 0 49.330 * * [simplify]: Extracting #3: cost 9 inf + 83 49.330 * * [simplify]: Extracting #4: cost 13 inf + 84 49.330 * * [simplify]: Extracting #5: cost 10 inf + 169 49.330 * * [simplify]: Extracting #6: cost 3 inf + 866 49.331 * * [simplify]: Extracting #7: cost 0 inf + 1314 49.331 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 49.331 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))))) 49.331 * * * * [progress]: [ 15 / 234 ] simplifiying candidate # 49.331 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2) 49.331 * * [simplify]: iters left: 6 (7 enodes) 49.334 * * [simplify]: iters left: 5 (29 enodes) 49.339 * * [simplify]: iters left: 4 (38 enodes) 49.345 * * [simplify]: Extracting #0: cost 1 inf + 0 49.345 * * [simplify]: Extracting #1: cost 4 inf + 0 49.345 * * [simplify]: Extracting #2: cost 5 inf + 1 49.345 * * [simplify]: Extracting #3: cost 9 inf + 1 49.345 * * [simplify]: Extracting #4: cost 13 inf + 2 49.345 * * [simplify]: Extracting #5: cost 12 inf + 4 49.345 * * [simplify]: Extracting #6: cost 2 inf + 746 49.346 * * [simplify]: Extracting #7: cost 0 inf + 1152 49.346 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2) 49.346 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)))) 49.346 * * * * [progress]: [ 16 / 234 ] simplifiying candidate # 49.346 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 49.346 * * [simplify]: iters left: 6 (8 enodes) 49.349 * * [simplify]: iters left: 5 (32 enodes) 49.355 * * [simplify]: iters left: 4 (41 enodes) 49.366 * * [simplify]: Extracting #0: cost 1 inf + 0 49.367 * * [simplify]: Extracting #1: cost 4 inf + 0 49.367 * * [simplify]: Extracting #2: cost 8 inf + 0 49.367 * * [simplify]: Extracting #3: cost 9 inf + 163 49.367 * * [simplify]: Extracting #4: cost 13 inf + 164 49.367 * * [simplify]: Extracting #5: cost 10 inf + 249 49.367 * * [simplify]: Extracting #6: cost 3 inf + 906 49.368 * * [simplify]: Extracting #7: cost 0 inf + 1314 49.368 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 49.368 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))))) 49.369 * * * * [progress]: [ 17 / 234 ] simplifiying candidate # 49.369 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 49.369 * * [simplify]: iters left: 6 (8 enodes) 49.374 * * [simplify]: iters left: 5 (32 enodes) 49.380 * * [simplify]: iters left: 4 (41 enodes) 49.386 * * [simplify]: Extracting #0: cost 1 inf + 0 49.387 * * [simplify]: Extracting #1: cost 4 inf + 0 49.387 * * [simplify]: Extracting #2: cost 8 inf + 0 49.387 * * [simplify]: Extracting #3: cost 9 inf + 83 49.387 * * [simplify]: Extracting #4: cost 13 inf + 84 49.387 * * [simplify]: Extracting #5: cost 10 inf + 169 49.387 * * [simplify]: Extracting #6: cost 3 inf + 786 49.387 * * [simplify]: Extracting #7: cost 0 inf + 1154 49.387 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 49.387 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))))) 49.388 * * * * [progress]: [ 18 / 234 ] simplifiying candidate # 49.388 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2) 49.388 * * [simplify]: iters left: 6 (7 enodes) 49.390 * * [simplify]: iters left: 5 (29 enodes) 49.396 * * [simplify]: iters left: 4 (38 enodes) 49.401 * * [simplify]: Extracting #0: cost 1 inf + 0 49.401 * * [simplify]: Extracting #1: cost 4 inf + 0 49.402 * * [simplify]: Extracting #2: cost 5 inf + 1 49.402 * * [simplify]: Extracting #3: cost 9 inf + 1 49.402 * * [simplify]: Extracting #4: cost 13 inf + 2 49.402 * * [simplify]: Extracting #5: cost 12 inf + 4 49.402 * * [simplify]: Extracting #6: cost 2 inf + 666 49.402 * * [simplify]: Extracting #7: cost 0 inf + 992 49.402 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2) 49.402 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)))) 49.403 * * * * [progress]: [ 19 / 234 ] simplifiying candidate # 49.403 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) 49.403 * * [simplify]: iters left: 6 (8 enodes) 49.408 * * [simplify]: iters left: 5 (30 enodes) 49.418 * * [simplify]: iters left: 4 (37 enodes) 49.429 * * [simplify]: Extracting #0: cost 1 inf + 0 49.430 * * [simplify]: Extracting #1: cost 6 inf + 0 49.430 * * [simplify]: Extracting #2: cost 12 inf + 0 49.430 * * [simplify]: Extracting #3: cost 11 inf + 405 49.430 * * [simplify]: Extracting #4: cost 10 inf + 407 49.430 * * [simplify]: Extracting #5: cost 4 inf + 1220 49.431 * * [simplify]: Extracting #6: cost 0 inf + 1869 49.431 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 49.431 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))))) 49.431 * * * * [progress]: [ 20 / 234 ] simplifiying candidate # 49.432 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 49.432 * * [simplify]: iters left: 6 (9 enodes) 49.437 * * [simplify]: iters left: 5 (33 enodes) 49.448 * * [simplify]: iters left: 4 (43 enodes) 49.461 * * [simplify]: iters left: 3 (45 enodes) 49.475 * * [simplify]: Extracting #0: cost 1 inf + 0 49.475 * * [simplify]: Extracting #1: cost 8 inf + 0 49.475 * * [simplify]: Extracting #2: cost 16 inf + 0 49.475 * * [simplify]: Extracting #3: cost 16 inf + 284 49.476 * * [simplify]: Extracting #4: cost 11 inf + 610 49.476 * * [simplify]: Extracting #5: cost 8 inf + 815 49.476 * * [simplify]: Extracting #6: cost 0 inf + 2517 49.477 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 49.477 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))))) 49.477 * * * * [progress]: [ 21 / 234 ] simplifiying candidate # 49.478 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) 49.478 * * [simplify]: iters left: 6 (8 enodes) 49.481 * * [simplify]: iters left: 5 (30 enodes) 49.489 * * [simplify]: iters left: 4 (40 enodes) 49.496 * * [simplify]: iters left: 3 (42 enodes) 49.503 * * [simplify]: Extracting #0: cost 1 inf + 0 49.503 * * [simplify]: Extracting #1: cost 8 inf + 0 49.503 * * [simplify]: Extracting #2: cost 12 inf + 82 49.503 * * [simplify]: Extracting #3: cost 13 inf + 405 49.503 * * [simplify]: Extracting #4: cost 12 inf + 407 49.503 * * [simplify]: Extracting #5: cost 5 inf + 1383 49.503 * * [simplify]: Extracting #6: cost 0 inf + 2195 49.504 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2))) 49.504 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))))) 49.504 * * * * [progress]: [ 22 / 234 ] simplifiying candidate # 49.504 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 49.504 * * [simplify]: iters left: 6 (9 enodes) 49.507 * * [simplify]: iters left: 5 (33 enodes) 49.516 * * [simplify]: iters left: 4 (43 enodes) 49.529 * * [simplify]: iters left: 3 (45 enodes) 49.543 * * [simplify]: Extracting #0: cost 1 inf + 0 49.543 * * [simplify]: Extracting #1: cost 8 inf + 0 49.543 * * [simplify]: Extracting #2: cost 16 inf + 0 49.543 * * [simplify]: Extracting #3: cost 16 inf + 284 49.543 * * [simplify]: Extracting #4: cost 11 inf + 610 49.544 * * [simplify]: Extracting #5: cost 8 inf + 815 49.544 * * [simplify]: Extracting #6: cost 0 inf + 2517 49.545 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 49.545 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))))) 49.545 * * * * [progress]: [ 23 / 234 ] simplifiying candidate # 49.546 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) 49.546 * * [simplify]: iters left: 6 (8 enodes) 49.550 * * [simplify]: iters left: 5 (30 enodes) 49.561 * * [simplify]: iters left: 4 (35 enodes) 49.572 * * [simplify]: Extracting #0: cost 1 inf + 0 49.572 * * [simplify]: Extracting #1: cost 6 inf + 0 49.572 * * [simplify]: Extracting #2: cost 8 inf + 42 49.572 * * [simplify]: Extracting #3: cost 11 inf + 83 49.573 * * [simplify]: Extracting #4: cost 10 inf + 85 49.573 * * [simplify]: Extracting #5: cost 4 inf + 658 49.573 * * [simplify]: Extracting #6: cost 0 inf + 1227 49.574 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 49.574 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2)))) 49.574 * * * * [progress]: [ 24 / 234 ] simplifiying candidate # 49.574 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) 49.574 * * [simplify]: iters left: 6 (8 enodes) 49.579 * * [simplify]: iters left: 5 (30 enodes) 49.589 * * [simplify]: iters left: 4 (40 enodes) 49.602 * * [simplify]: iters left: 3 (42 enodes) 49.615 * * [simplify]: Extracting #0: cost 1 inf + 0 49.615 * * [simplify]: Extracting #1: cost 8 inf + 0 49.615 * * [simplify]: Extracting #2: cost 12 inf + 42 49.615 * * [simplify]: Extracting #3: cost 13 inf + 245 49.616 * * [simplify]: Extracting #4: cost 12 inf + 247 49.616 * * [simplify]: Extracting #5: cost 5 inf + 1143 49.616 * * [simplify]: Extracting #6: cost 0 inf + 1875 49.617 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2))) 49.617 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))))) 49.617 * * * * [progress]: [ 25 / 234 ] simplifiying candidate # 49.618 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) 49.618 * * [simplify]: iters left: 6 (8 enodes) 49.623 * * [simplify]: iters left: 5 (30 enodes) 49.636 * * [simplify]: iters left: 4 (40 enodes) 49.645 * * [simplify]: iters left: 3 (42 enodes) 49.652 * * [simplify]: Extracting #0: cost 1 inf + 0 49.652 * * [simplify]: Extracting #1: cost 8 inf + 0 49.652 * * [simplify]: Extracting #2: cost 11 inf + 203 49.652 * * [simplify]: Extracting #3: cost 13 inf + 405 49.652 * * [simplify]: Extracting #4: cost 12 inf + 407 49.652 * * [simplify]: Extracting #5: cost 3 inf + 1789 49.653 * * [simplify]: Extracting #6: cost 0 inf + 2195 49.653 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2)) 49.653 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2))))) 49.653 * * * * [progress]: [ 26 / 234 ] simplifiying candidate # 49.653 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) 49.653 * * [simplify]: iters left: 6 (8 enodes) 49.656 * * [simplify]: iters left: 5 (30 enodes) 49.661 * * [simplify]: iters left: 4 (40 enodes) 49.668 * * [simplify]: iters left: 3 (42 enodes) 49.675 * * [simplify]: Extracting #0: cost 1 inf + 0 49.675 * * [simplify]: Extracting #1: cost 8 inf + 0 49.675 * * [simplify]: Extracting #2: cost 11 inf + 123 49.675 * * [simplify]: Extracting #3: cost 13 inf + 245 49.675 * * [simplify]: Extracting #4: cost 12 inf + 247 49.676 * * [simplify]: Extracting #5: cost 3 inf + 1509 49.676 * * [simplify]: Extracting #6: cost 0 inf + 1875 49.677 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2)) 49.677 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2))))) 49.677 * * * * [progress]: [ 27 / 234 ] simplifiying candidate # 49.677 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2) 49.677 * * [simplify]: iters left: 6 (7 enodes) 49.682 * * [simplify]: iters left: 5 (28 enodes) 49.691 * * [simplify]: iters left: 4 (35 enodes) 49.701 * * [simplify]: Extracting #0: cost 1 inf + 0 49.701 * * [simplify]: Extracting #1: cost 6 inf + 0 49.701 * * [simplify]: Extracting #2: cost 7 inf + 2 49.702 * * [simplify]: Extracting #3: cost 11 inf + 2 49.702 * * [simplify]: Extracting #4: cost 9 inf + 45 49.702 * * [simplify]: Extracting #5: cost 4 inf + 455 49.702 * * [simplify]: Extracting #6: cost 0 inf + 1066 49.703 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4) 49.703 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)))) 49.703 * * * * [progress]: [ 28 / 234 ] simplifiying candidate # 49.703 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) 49.703 * * [simplify]: iters left: 6 (8 enodes) 49.708 * * [simplify]: iters left: 5 (30 enodes) 49.718 * * [simplify]: iters left: 4 (37 enodes) 49.730 * * [simplify]: Extracting #0: cost 1 inf + 0 49.730 * * [simplify]: Extracting #1: cost 6 inf + 0 49.731 * * [simplify]: Extracting #2: cost 12 inf + 0 49.731 * * [simplify]: Extracting #3: cost 11 inf + 405 49.731 * * [simplify]: Extracting #4: cost 10 inf + 407 49.731 * * [simplify]: Extracting #5: cost 4 inf + 1100 49.732 * * [simplify]: Extracting #6: cost 0 inf + 1629 49.732 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 49.732 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))))) 49.732 * * * * [progress]: [ 29 / 234 ] simplifiying candidate # 49.733 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 49.733 * * [simplify]: iters left: 6 (9 enodes) 49.738 * * [simplify]: iters left: 5 (33 enodes) 49.750 * * [simplify]: iters left: 4 (43 enodes) 49.766 * * [simplify]: iters left: 3 (45 enodes) 49.780 * * [simplify]: Extracting #0: cost 1 inf + 0 49.781 * * [simplify]: Extracting #1: cost 8 inf + 0 49.781 * * [simplify]: Extracting #2: cost 16 inf + 0 49.781 * * [simplify]: Extracting #3: cost 16 inf + 284 49.781 * * [simplify]: Extracting #4: cost 11 inf + 610 49.781 * * [simplify]: Extracting #5: cost 8 inf + 775 49.782 * * [simplify]: Extracting #6: cost 0 inf + 2197 49.783 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 49.783 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))))) 49.783 * * * * [progress]: [ 30 / 234 ] simplifiying candidate # 49.783 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) 49.784 * * [simplify]: iters left: 6 (8 enodes) 49.787 * * [simplify]: iters left: 5 (30 enodes) 49.793 * * [simplify]: iters left: 4 (40 enodes) 49.799 * * [simplify]: iters left: 3 (42 enodes) 49.806 * * [simplify]: Extracting #0: cost 1 inf + 0 49.806 * * [simplify]: Extracting #1: cost 8 inf + 0 49.806 * * [simplify]: Extracting #2: cost 12 inf + 82 49.806 * * [simplify]: Extracting #3: cost 13 inf + 405 49.806 * * [simplify]: Extracting #4: cost 12 inf + 407 49.806 * * [simplify]: Extracting #5: cost 5 inf + 1223 49.806 * * [simplify]: Extracting #6: cost 0 inf + 1875 49.807 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2))) 49.807 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))))) 49.807 * * * * [progress]: [ 31 / 234 ] simplifiying candidate # 49.807 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 49.807 * * [simplify]: iters left: 6 (9 enodes) 49.810 * * [simplify]: iters left: 5 (33 enodes) 49.817 * * [simplify]: iters left: 4 (43 enodes) 49.831 * * [simplify]: iters left: 3 (45 enodes) 49.844 * * [simplify]: Extracting #0: cost 1 inf + 0 49.844 * * [simplify]: Extracting #1: cost 8 inf + 0 49.844 * * [simplify]: Extracting #2: cost 16 inf + 0 49.845 * * [simplify]: Extracting #3: cost 16 inf + 284 49.845 * * [simplify]: Extracting #4: cost 11 inf + 610 49.845 * * [simplify]: Extracting #5: cost 8 inf + 775 49.846 * * [simplify]: Extracting #6: cost 0 inf + 2197 49.846 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 49.846 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))))) 49.847 * * * * [progress]: [ 32 / 234 ] simplifiying candidate # 49.847 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 49.847 * * [simplify]: iters left: 6 (8 enodes) 49.852 * * [simplify]: iters left: 5 (30 enodes) 49.862 * * [simplify]: iters left: 4 (35 enodes) 49.873 * * [simplify]: Extracting #0: cost 1 inf + 0 49.873 * * [simplify]: Extracting #1: cost 6 inf + 0 49.873 * * [simplify]: Extracting #2: cost 8 inf + 42 49.873 * * [simplify]: Extracting #3: cost 11 inf + 83 49.873 * * [simplify]: Extracting #4: cost 10 inf + 85 49.873 * * [simplify]: Extracting #5: cost 4 inf + 538 49.874 * * [simplify]: Extracting #6: cost 0 inf + 987 49.874 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 49.874 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2)))) 49.874 * * * * [progress]: [ 33 / 234 ] simplifiying candidate # 49.875 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) 49.875 * * [simplify]: iters left: 6 (8 enodes) 49.880 * * [simplify]: iters left: 5 (30 enodes) 49.888 * * [simplify]: iters left: 4 (40 enodes) 49.899 * * [simplify]: iters left: 3 (42 enodes) 49.905 * * [simplify]: Extracting #0: cost 1 inf + 0 49.905 * * [simplify]: Extracting #1: cost 8 inf + 0 49.905 * * [simplify]: Extracting #2: cost 12 inf + 42 49.905 * * [simplify]: Extracting #3: cost 13 inf + 245 49.905 * * [simplify]: Extracting #4: cost 12 inf + 247 49.905 * * [simplify]: Extracting #5: cost 5 inf + 983 49.906 * * [simplify]: Extracting #6: cost 0 inf + 1555 49.906 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2))) 49.906 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))))) 49.906 * * * * [progress]: [ 34 / 234 ] simplifiying candidate # 49.906 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) 49.907 * * [simplify]: iters left: 6 (8 enodes) 49.909 * * [simplify]: iters left: 5 (30 enodes) 49.914 * * [simplify]: iters left: 4 (40 enodes) 49.927 * * [simplify]: iters left: 3 (42 enodes) 49.937 * * [simplify]: Extracting #0: cost 1 inf + 0 49.937 * * [simplify]: Extracting #1: cost 8 inf + 0 49.937 * * [simplify]: Extracting #2: cost 11 inf + 203 49.937 * * [simplify]: Extracting #3: cost 13 inf + 405 49.937 * * [simplify]: Extracting #4: cost 12 inf + 407 49.937 * * [simplify]: Extracting #5: cost 3 inf + 1549 49.938 * * [simplify]: Extracting #6: cost 0 inf + 1875 49.938 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2)) 49.938 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2))))) 49.938 * * * * [progress]: [ 35 / 234 ] simplifiying candidate # 49.938 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) 49.938 * * [simplify]: iters left: 6 (8 enodes) 49.941 * * [simplify]: iters left: 5 (30 enodes) 49.946 * * [simplify]: iters left: 4 (40 enodes) 49.952 * * [simplify]: iters left: 3 (42 enodes) 49.959 * * [simplify]: Extracting #0: cost 1 inf + 0 49.959 * * [simplify]: Extracting #1: cost 8 inf + 0 49.959 * * [simplify]: Extracting #2: cost 11 inf + 123 49.959 * * [simplify]: Extracting #3: cost 13 inf + 245 49.959 * * [simplify]: Extracting #4: cost 12 inf + 247 49.959 * * [simplify]: Extracting #5: cost 3 inf + 1269 49.959 * * [simplify]: Extracting #6: cost 0 inf + 1555 49.960 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2)) 49.960 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2))))) 49.960 * * * * [progress]: [ 36 / 234 ] simplifiying candidate # 49.960 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2) 49.960 * * [simplify]: iters left: 6 (7 enodes) 49.963 * * [simplify]: iters left: 5 (28 enodes) 49.972 * * [simplify]: iters left: 4 (35 enodes) 49.982 * * [simplify]: Extracting #0: cost 1 inf + 0 49.982 * * [simplify]: Extracting #1: cost 6 inf + 0 49.982 * * [simplify]: Extracting #2: cost 7 inf + 2 49.982 * * [simplify]: Extracting #3: cost 11 inf + 2 49.982 * * [simplify]: Extracting #4: cost 9 inf + 45 49.983 * * [simplify]: Extracting #5: cost 4 inf + 375 49.983 * * [simplify]: Extracting #6: cost 0 inf + 826 49.983 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4) 49.983 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4)))) 49.984 * * * * [progress]: [ 37 / 234 ] simplifiying candidate # 49.984 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 49.984 * * [simplify]: iters left: 6 (7 enodes) 49.988 * * [simplify]: iters left: 5 (30 enodes) 49.999 * * [simplify]: iters left: 4 (49 enodes) 50.011 * * [simplify]: iters left: 3 (59 enodes) 50.020 * * [simplify]: iters left: 2 (64 enodes) 50.030 * * [simplify]: Extracting #0: cost 1 inf + 0 50.030 * * [simplify]: Extracting #1: cost 9 inf + 0 50.030 * * [simplify]: Extracting #2: cost 23 inf + 0 50.030 * * [simplify]: Extracting #3: cost 24 inf + 3 50.031 * * [simplify]: Extracting #4: cost 15 inf + 980 50.031 * * [simplify]: Extracting #5: cost 1 inf + 3007 50.032 * * [simplify]: Extracting #6: cost 0 inf + 3169 50.034 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 50.034 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))))) 50.034 * * * * [progress]: [ 38 / 234 ] simplifiying candidate # 50.034 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 50.034 * * [simplify]: iters left: 6 (8 enodes) 50.039 * * [simplify]: iters left: 5 (33 enodes) 50.049 * * [simplify]: iters left: 4 (55 enodes) 50.058 * * [simplify]: iters left: 3 (72 enodes) 50.069 * * [simplify]: iters left: 2 (84 enodes) 50.083 * * [simplify]: iters left: 1 (88 enodes) 50.095 * * [simplify]: Extracting #0: cost 1 inf + 0 50.095 * * [simplify]: Extracting #1: cost 11 inf + 0 50.095 * * [simplify]: Extracting #2: cost 30 inf + 0 50.095 * * [simplify]: Extracting #3: cost 33 inf + 84 50.096 * * [simplify]: Extracting #4: cost 12 inf + 2402 50.099 * * [simplify]: Extracting #5: cost 0 inf + 4469 50.100 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 50.100 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))))) 50.100 * * * * [progress]: [ 39 / 234 ] simplifiying candidate # 50.100 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 50.100 * * [simplify]: iters left: 6 (7 enodes) 50.103 * * [simplify]: iters left: 5 (30 enodes) 50.110 * * [simplify]: iters left: 4 (52 enodes) 50.127 * * [simplify]: iters left: 3 (70 enodes) 50.140 * * [simplify]: iters left: 2 (81 enodes) 50.151 * * [simplify]: iters left: 1 (84 enodes) 50.167 * * [simplify]: Extracting #0: cost 1 inf + 0 50.167 * * [simplify]: Extracting #1: cost 11 inf + 0 50.167 * * [simplify]: Extracting #2: cost 25 inf + 203 50.167 * * [simplify]: Extracting #3: cost 25 inf + 530 50.168 * * [simplify]: Extracting #4: cost 4 inf + 2936 50.169 * * [simplify]: Extracting #5: cost 0 inf + 3504 50.170 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 50.171 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))))) 50.171 * * * * [progress]: [ 40 / 234 ] simplifiying candidate # 50.171 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 50.171 * * [simplify]: iters left: 6 (8 enodes) 50.176 * * [simplify]: iters left: 5 (33 enodes) 50.189 * * [simplify]: iters left: 4 (55 enodes) 50.201 * * [simplify]: iters left: 3 (72 enodes) 50.215 * * [simplify]: iters left: 2 (84 enodes) 50.227 * * [simplify]: iters left: 1 (88 enodes) 50.251 * * [simplify]: Extracting #0: cost 1 inf + 0 50.251 * * [simplify]: Extracting #1: cost 11 inf + 0 50.251 * * [simplify]: Extracting #2: cost 30 inf + 0 50.251 * * [simplify]: Extracting #3: cost 33 inf + 44 50.252 * * [simplify]: Extracting #4: cost 12 inf + 2362 50.253 * * [simplify]: Extracting #5: cost 0 inf + 4469 50.255 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 50.255 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))))) 50.255 * * * * [progress]: [ 41 / 234 ] simplifiying candidate # 50.255 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 50.255 * * [simplify]: iters left: 6 (7 enodes) 50.259 * * [simplify]: iters left: 5 (30 enodes) 50.265 * * [simplify]: iters left: 4 (48 enodes) 50.274 * * [simplify]: iters left: 3 (56 enodes) 50.282 * * [simplify]: Extracting #0: cost 1 inf + 0 50.282 * * [simplify]: Extracting #1: cost 8 inf + 0 50.282 * * [simplify]: Extracting #2: cost 15 inf + 43 50.282 * * [simplify]: Extracting #3: cost 16 inf + 86 50.282 * * [simplify]: Extracting #4: cost 5 inf + 911 50.282 * * [simplify]: Extracting #5: cost 1 inf + 1198 50.283 * * [simplify]: Extracting #6: cost 0 inf + 1320 50.283 * [simplify]: Simplified to (/ (- 1 k) 2) 50.283 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)))) 50.283 * * * * [progress]: [ 42 / 234 ] simplifiying candidate # 50.283 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 50.283 * * [simplify]: iters left: 6 (7 enodes) 50.286 * * [simplify]: iters left: 5 (30 enodes) 50.292 * * [simplify]: iters left: 4 (52 enodes) 50.306 * * [simplify]: iters left: 3 (70 enodes) 50.319 * * [simplify]: iters left: 2 (81 enodes) 50.331 * * [simplify]: iters left: 1 (84 enodes) 50.351 * * [simplify]: Extracting #0: cost 1 inf + 0 50.351 * * [simplify]: Extracting #1: cost 11 inf + 0 50.351 * * [simplify]: Extracting #2: cost 25 inf + 123 50.351 * * [simplify]: Extracting #3: cost 25 inf + 330 50.352 * * [simplify]: Extracting #4: cost 4 inf + 2256 50.353 * * [simplify]: Extracting #5: cost 0 inf + 2704 50.354 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 50.354 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))))) 50.355 * * * * [progress]: [ 43 / 234 ] simplifiying candidate # 50.355 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 50.355 * * [simplify]: iters left: 6 (7 enodes) 50.360 * * [simplify]: iters left: 5 (31 enodes) 50.370 * * [simplify]: iters left: 4 (51 enodes) 50.387 * * [simplify]: iters left: 3 (64 enodes) 50.407 * * [simplify]: iters left: 2 (77 enodes) 50.428 * * [simplify]: iters left: 1 (84 enodes) 50.454 * * [simplify]: Extracting #0: cost 1 inf + 0 50.454 * * [simplify]: Extracting #1: cost 11 inf + 0 50.454 * * [simplify]: Extracting #2: cost 26 inf + 82 50.455 * * [simplify]: Extracting #3: cost 24 inf + 692 50.455 * * [simplify]: Extracting #4: cost 3 inf + 3057 50.456 * * [simplify]: Extracting #5: cost 0 inf + 3504 50.456 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 50.456 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))))) 50.456 * * * * [progress]: [ 44 / 234 ] simplifiying candidate # 50.457 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 50.457 * * [simplify]: iters left: 6 (7 enodes) 50.459 * * [simplify]: iters left: 5 (31 enodes) 50.465 * * [simplify]: iters left: 4 (51 enodes) 50.474 * * [simplify]: iters left: 3 (64 enodes) 50.484 * * [simplify]: iters left: 2 (77 enodes) 50.504 * * [simplify]: iters left: 1 (84 enodes) 50.527 * * [simplify]: Extracting #0: cost 1 inf + 0 50.527 * * [simplify]: Extracting #1: cost 11 inf + 0 50.527 * * [simplify]: Extracting #2: cost 26 inf + 42 50.527 * * [simplify]: Extracting #3: cost 24 inf + 452 50.528 * * [simplify]: Extracting #4: cost 3 inf + 2337 50.529 * * [simplify]: Extracting #5: cost 0 inf + 2704 50.531 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 50.531 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))))) 50.531 * * * * [progress]: [ 45 / 234 ] simplifiying candidate # 50.531 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 50.531 * * [simplify]: iters left: 6 (6 enodes) 50.536 * * [simplify]: iters left: 5 (29 enodes) 50.547 * * [simplify]: iters left: 4 (44 enodes) 50.561 * * [simplify]: iters left: 3 (50 enodes) 50.576 * * [simplify]: iters left: 2 (57 enodes) 50.596 * * [simplify]: Extracting #0: cost 1 inf + 0 50.596 * * [simplify]: Extracting #1: cost 9 inf + 0 50.596 * * [simplify]: Extracting #2: cost 15 inf + 3 50.596 * * [simplify]: Extracting #3: cost 11 inf + 131 50.597 * * [simplify]: Extracting #4: cost 2 inf + 711 50.597 * * [simplify]: Extracting #5: cost 0 inf + 836 50.598 * [simplify]: Simplified to (- 1/4 (/ k 4)) 50.598 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))))) 50.598 * * * * [progress]: [ 46 / 234 ] simplifiying candidate # 50.599 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) 50.599 * * [simplify]: iters left: 6 (9 enodes) 50.605 * * [simplify]: iters left: 5 (36 enodes) 50.616 * * [simplify]: iters left: 4 (58 enodes) 50.630 * * [simplify]: iters left: 3 (71 enodes) 50.640 * * [simplify]: iters left: 2 (79 enodes) 50.652 * * [simplify]: iters left: 1 (80 enodes) 50.672 * * [simplify]: Extracting #0: cost 1 inf + 0 50.672 * * [simplify]: Extracting #1: cost 9 inf + 0 50.672 * * [simplify]: Extracting #2: cost 24 inf + 0 50.673 * * [simplify]: Extracting #3: cost 29 inf + 2 50.673 * * [simplify]: Extracting #4: cost 10 inf + 2233 50.674 * * [simplify]: Extracting #5: cost 1 inf + 4013 50.676 * * [simplify]: Extracting #6: cost 0 inf + 4135 50.677 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 50.677 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))))) 50.677 * * * * [progress]: [ 47 / 234 ] simplifiying candidate # 50.678 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) 50.678 * * [simplify]: iters left: 6 (10 enodes) 50.684 * * [simplify]: iters left: 5 (39 enodes) 50.697 * * [simplify]: iters left: 4 (64 enodes) 50.717 * * [simplify]: iters left: 3 (86 enodes) 50.729 * * [simplify]: iters left: 2 (99 enodes) 50.746 * * [simplify]: iters left: 1 (104 enodes) 50.772 * * [simplify]: Extracting #0: cost 1 inf + 0 50.772 * * [simplify]: Extracting #1: cost 11 inf + 0 50.773 * * [simplify]: Extracting #2: cost 31 inf + 0 50.773 * * [simplify]: Extracting #3: cost 39 inf + 2 50.773 * * [simplify]: Extracting #4: cost 22 inf + 1871 50.775 * * [simplify]: Extracting #5: cost 4 inf + 4865 50.777 * * [simplify]: Extracting #6: cost 0 inf + 5675 50.779 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 50.779 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))))) 50.779 * * * * [progress]: [ 48 / 234 ] simplifiying candidate # 50.779 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) 50.779 * * [simplify]: iters left: 6 (9 enodes) 50.785 * * [simplify]: iters left: 5 (36 enodes) 50.797 * * [simplify]: iters left: 4 (61 enodes) 50.816 * * [simplify]: iters left: 3 (84 enodes) 50.839 * * [simplify]: iters left: 2 (96 enodes) 50.868 * * [simplify]: iters left: 1 (100 enodes) 50.893 * * [simplify]: Extracting #0: cost 1 inf + 0 50.893 * * [simplify]: Extracting #1: cost 11 inf + 0 50.893 * * [simplify]: Extracting #2: cost 27 inf + 82 50.893 * * [simplify]: Extracting #3: cost 29 inf + 651 50.894 * * [simplify]: Extracting #4: cost 12 inf + 2763 50.895 * * [simplify]: Extracting #5: cost 1 inf + 4587 50.897 * * [simplify]: Extracting #6: cost 0 inf + 4710 50.898 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 50.898 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))))) 50.899 * * * * [progress]: [ 49 / 234 ] simplifiying candidate # 50.899 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) 50.899 * * [simplify]: iters left: 6 (10 enodes) 50.906 * * [simplify]: iters left: 5 (39 enodes) 50.920 * * [simplify]: iters left: 4 (64 enodes) 50.939 * * [simplify]: iters left: 3 (86 enodes) 50.965 * * [simplify]: iters left: 2 (99 enodes) 50.992 * * [simplify]: iters left: 1 (104 enodes) 51.022 * * [simplify]: Extracting #0: cost 1 inf + 0 51.022 * * [simplify]: Extracting #1: cost 11 inf + 0 51.022 * * [simplify]: Extracting #2: cost 31 inf + 0 51.022 * * [simplify]: Extracting #3: cost 39 inf + 2 51.022 * * [simplify]: Extracting #4: cost 22 inf + 1831 51.023 * * [simplify]: Extracting #5: cost 4 inf + 4785 51.024 * * [simplify]: Extracting #6: cost 0 inf + 5595 51.025 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 51.025 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))))) 51.025 * * * * [progress]: [ 50 / 234 ] simplifiying candidate # 51.025 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 51.025 * * [simplify]: iters left: 6 (9 enodes) 51.029 * * [simplify]: iters left: 5 (36 enodes) 51.035 * * [simplify]: iters left: 4 (57 enodes) 51.046 * * [simplify]: iters left: 3 (73 enodes) 51.061 * * [simplify]: iters left: 2 (80 enodes) 51.080 * * [simplify]: iters left: 1 (81 enodes) 51.098 * * [simplify]: Extracting #0: cost 1 inf + 0 51.098 * * [simplify]: Extracting #1: cost 9 inf + 0 51.098 * * [simplify]: Extracting #2: cost 18 inf + 43 51.099 * * [simplify]: Extracting #3: cost 23 inf + 85 51.099 * * [simplify]: Extracting #4: cost 9 inf + 1271 51.100 * * [simplify]: Extracting #5: cost 0 inf + 2370 51.101 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 51.101 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)))) 51.101 * * * * [progress]: [ 51 / 234 ] simplifiying candidate # 51.102 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) 51.102 * * [simplify]: iters left: 6 (9 enodes) 51.107 * * [simplify]: iters left: 5 (36 enodes) 51.121 * * [simplify]: iters left: 4 (61 enodes) 51.134 * * [simplify]: iters left: 3 (84 enodes) 51.147 * * [simplify]: iters left: 2 (96 enodes) 51.168 * * [simplify]: iters left: 1 (100 enodes) 51.181 * * [simplify]: Extracting #0: cost 1 inf + 0 51.181 * * [simplify]: Extracting #1: cost 11 inf + 0 51.182 * * [simplify]: Extracting #2: cost 27 inf + 42 51.182 * * [simplify]: Extracting #3: cost 29 inf + 411 51.182 * * [simplify]: Extracting #4: cost 12 inf + 2163 51.183 * * [simplify]: Extracting #5: cost 1 inf + 3707 51.184 * * [simplify]: Extracting #6: cost 0 inf + 3830 51.184 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 51.184 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))))) 51.185 * * * * [progress]: [ 52 / 234 ] simplifiying candidate # 51.185 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) 51.185 * * [simplify]: iters left: 6 (9 enodes) 51.188 * * [simplify]: iters left: 5 (36 enodes) 51.196 * * [simplify]: iters left: 4 (62 enodes) 51.205 * * [simplify]: iters left: 3 (78 enodes) 51.219 * * [simplify]: iters left: 2 (90 enodes) 51.231 * * [simplify]: iters left: 1 (94 enodes) 51.244 * * [simplify]: Extracting #0: cost 1 inf + 0 51.244 * * [simplify]: Extracting #1: cost 11 inf + 0 51.244 * * [simplify]: Extracting #2: cost 27 inf + 1 51.244 * * [simplify]: Extracting #3: cost 29 inf + 409 51.244 * * [simplify]: Extracting #4: cost 12 inf + 2359 51.245 * * [simplify]: Extracting #5: cost 2 inf + 4022 51.246 * * [simplify]: Extracting #6: cost 0 inf + 4466 51.247 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 51.247 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))))) 51.248 * * * * [progress]: [ 53 / 234 ] simplifiying candidate # 51.248 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) 51.248 * * [simplify]: iters left: 6 (9 enodes) 51.254 * * [simplify]: iters left: 5 (36 enodes) 51.267 * * [simplify]: iters left: 4 (62 enodes) 51.284 * * [simplify]: iters left: 3 (78 enodes) 51.301 * * [simplify]: iters left: 2 (90 enodes) 51.313 * * [simplify]: iters left: 1 (94 enodes) 51.340 * * [simplify]: Extracting #0: cost 1 inf + 0 51.340 * * [simplify]: Extracting #1: cost 11 inf + 0 51.340 * * [simplify]: Extracting #2: cost 27 inf + 1 51.340 * * [simplify]: Extracting #3: cost 29 inf + 249 51.341 * * [simplify]: Extracting #4: cost 12 inf + 1879 51.342 * * [simplify]: Extracting #5: cost 2 inf + 3302 51.344 * * [simplify]: Extracting #6: cost 0 inf + 3666 51.345 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 51.345 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))))) 51.345 * * * * [progress]: [ 54 / 234 ] simplifiying candidate # 51.346 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) 51.346 * * [simplify]: iters left: 6 (8 enodes) 51.351 * * [simplify]: iters left: 5 (34 enodes) 51.364 * * [simplify]: iters left: 4 (58 enodes) 51.380 * * [simplify]: iters left: 3 (65 enodes) 51.396 * * [simplify]: Extracting #0: cost 1 inf + 0 51.396 * * [simplify]: Extracting #1: cost 8 inf + 0 51.396 * * [simplify]: Extracting #2: cost 14 inf + 3 51.396 * * [simplify]: Extracting #3: cost 17 inf + 5 51.396 * * [simplify]: Extracting #4: cost 12 inf + 292 51.397 * * [simplify]: Extracting #5: cost 1 inf + 1355 51.397 * * [simplify]: Extracting #6: cost 0 inf + 1478 51.398 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4) 51.398 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4)))) 51.398 * * * * [progress]: [ 55 / 234 ] simplifiying candidate # 51.398 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) 51.399 * * [simplify]: iters left: 6 (8 enodes) 51.403 * * [simplify]: iters left: 5 (33 enodes) 51.414 * * [simplify]: iters left: 4 (52 enodes) 51.430 * * [simplify]: iters left: 3 (62 enodes) 51.449 * * [simplify]: iters left: 2 (67 enodes) 51.468 * * [simplify]: Extracting #0: cost 1 inf + 0 51.468 * * [simplify]: Extracting #1: cost 9 inf + 0 51.468 * * [simplify]: Extracting #2: cost 23 inf + 0 51.468 * * [simplify]: Extracting #3: cost 24 inf + 285 51.468 * * [simplify]: Extracting #4: cost 18 inf + 975 51.469 * * [simplify]: Extracting #5: cost 7 inf + 2516 51.470 * * [simplify]: Extracting #6: cost 0 inf + 3891 51.471 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 51.471 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))))) 51.472 * * * * [progress]: [ 56 / 234 ] simplifiying candidate # 51.472 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) 51.472 * * [simplify]: iters left: 6 (9 enodes) 51.477 * * [simplify]: iters left: 5 (36 enodes) 51.494 * * [simplify]: iters left: 4 (58 enodes) 51.512 * * [simplify]: iters left: 3 (75 enodes) 51.534 * * [simplify]: iters left: 2 (87 enodes) 51.559 * * [simplify]: iters left: 1 (91 enodes) 51.583 * * [simplify]: Extracting #0: cost 1 inf + 0 51.583 * * [simplify]: Extracting #1: cost 11 inf + 0 51.583 * * [simplify]: Extracting #2: cost 30 inf + 0 51.584 * * [simplify]: Extracting #3: cost 36 inf + 83 51.584 * * [simplify]: Extracting #4: cost 30 inf + 451 51.585 * * [simplify]: Extracting #5: cost 10 inf + 3649 51.586 * * [simplify]: Extracting #6: cost 0 inf + 5431 51.588 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 51.588 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))))) 51.588 * * * * [progress]: [ 57 / 234 ] simplifiying candidate # 51.589 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) 51.589 * * [simplify]: iters left: 6 (8 enodes) 51.594 * * [simplify]: iters left: 5 (33 enodes) 51.605 * * [simplify]: iters left: 4 (55 enodes) 51.623 * * [simplify]: iters left: 3 (73 enodes) 51.639 * * [simplify]: iters left: 2 (84 enodes) 51.651 * * [simplify]: iters left: 1 (87 enodes) 51.670 * * [simplify]: Extracting #0: cost 1 inf + 0 51.670 * * [simplify]: Extracting #1: cost 11 inf + 0 51.670 * * [simplify]: Extracting #2: cost 25 inf + 203 51.670 * * [simplify]: Extracting #3: cost 29 inf + 407 51.671 * * [simplify]: Extracting #4: cost 24 inf + 896 51.671 * * [simplify]: Extracting #5: cost 9 inf + 2805 51.672 * * [simplify]: Extracting #6: cost 0 inf + 4466 51.672 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 51.672 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))))) 51.672 * * * * [progress]: [ 58 / 234 ] simplifiying candidate # 51.673 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) 51.673 * * [simplify]: iters left: 6 (9 enodes) 51.676 * * [simplify]: iters left: 5 (36 enodes) 51.682 * * [simplify]: iters left: 4 (58 enodes) 51.693 * * [simplify]: iters left: 3 (75 enodes) 51.709 * * [simplify]: iters left: 2 (87 enodes) 51.733 * * [simplify]: iters left: 1 (91 enodes) 51.762 * * [simplify]: Extracting #0: cost 1 inf + 0 51.762 * * [simplify]: Extracting #1: cost 11 inf + 0 51.762 * * [simplify]: Extracting #2: cost 30 inf + 0 51.762 * * [simplify]: Extracting #3: cost 36 inf + 43 51.762 * * [simplify]: Extracting #4: cost 30 inf + 451 51.763 * * [simplify]: Extracting #5: cost 10 inf + 3769 51.765 * * [simplify]: Extracting #6: cost 0 inf + 5431 51.766 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 51.766 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))))) 51.766 * * * * [progress]: [ 59 / 234 ] simplifiying candidate # 51.767 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 51.767 * * [simplify]: iters left: 6 (8 enodes) 51.769 * * [simplify]: iters left: 5 (33 enodes) 51.776 * * [simplify]: iters left: 4 (51 enodes) 51.784 * * [simplify]: iters left: 3 (59 enodes) 51.792 * * [simplify]: Extracting #0: cost 1 inf + 0 51.793 * * [simplify]: Extracting #1: cost 8 inf + 0 51.793 * * [simplify]: Extracting #2: cost 15 inf + 43 51.793 * * [simplify]: Extracting #3: cost 19 inf + 85 51.793 * * [simplify]: Extracting #4: cost 16 inf + 250 51.793 * * [simplify]: Extracting #5: cost 5 inf + 1311 51.793 * * [simplify]: Extracting #6: cost 0 inf + 1962 51.794 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 51.794 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)))) 51.794 * * * * [progress]: [ 60 / 234 ] simplifiying candidate # 51.794 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) 51.794 * * [simplify]: iters left: 6 (8 enodes) 51.799 * * [simplify]: iters left: 5 (33 enodes) 51.811 * * [simplify]: iters left: 4 (55 enodes) 51.829 * * [simplify]: iters left: 3 (73 enodes) 51.850 * * [simplify]: iters left: 2 (84 enodes) 51.873 * * [simplify]: iters left: 1 (87 enodes) 51.900 * * [simplify]: Extracting #0: cost 1 inf + 0 51.900 * * [simplify]: Extracting #1: cost 11 inf + 0 51.900 * * [simplify]: Extracting #2: cost 25 inf + 123 51.900 * * [simplify]: Extracting #3: cost 29 inf + 247 51.901 * * [simplify]: Extracting #4: cost 24 inf + 576 51.901 * * [simplify]: Extracting #5: cost 9 inf + 2245 51.903 * * [simplify]: Extracting #6: cost 0 inf + 3666 51.904 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 51.904 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))))) 51.905 * * * * [progress]: [ 61 / 234 ] simplifiying candidate # 51.905 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) 51.905 * * [simplify]: iters left: 6 (8 enodes) 51.910 * * [simplify]: iters left: 5 (34 enodes) 51.922 * * [simplify]: iters left: 4 (54 enodes) 51.939 * * [simplify]: iters left: 3 (67 enodes) 51.954 * * [simplify]: iters left: 2 (80 enodes) 51.977 * * [simplify]: iters left: 1 (87 enodes) 52.001 * * [simplify]: Extracting #0: cost 1 inf + 0 52.001 * * [simplify]: Extracting #1: cost 11 inf + 0 52.001 * * [simplify]: Extracting #2: cost 25 inf + 203 52.002 * * [simplify]: Extracting #3: cost 26 inf + 773 52.002 * * [simplify]: Extracting #4: cost 24 inf + 896 52.003 * * [simplify]: Extracting #5: cost 8 inf + 3127 52.004 * * [simplify]: Extracting #6: cost 0 inf + 4466 52.006 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 52.006 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))))) 52.006 * * * * [progress]: [ 62 / 234 ] simplifiying candidate # 52.006 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) 52.006 * * [simplify]: iters left: 6 (8 enodes) 52.012 * * [simplify]: iters left: 5 (34 enodes) 52.023 * * [simplify]: iters left: 4 (54 enodes) 52.034 * * [simplify]: iters left: 3 (67 enodes) 52.045 * * [simplify]: iters left: 2 (80 enodes) 52.063 * * [simplify]: iters left: 1 (87 enodes) 52.084 * * [simplify]: Extracting #0: cost 1 inf + 0 52.084 * * [simplify]: Extracting #1: cost 11 inf + 0 52.085 * * [simplify]: Extracting #2: cost 25 inf + 123 52.085 * * [simplify]: Extracting #3: cost 26 inf + 493 52.085 * * [simplify]: Extracting #4: cost 24 inf + 576 52.085 * * [simplify]: Extracting #5: cost 8 inf + 2527 52.086 * * [simplify]: Extracting #6: cost 0 inf + 3666 52.087 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 52.087 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))))) 52.087 * * * * [progress]: [ 63 / 234 ] simplifiying candidate # 52.087 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2) 52.087 * * [simplify]: iters left: 6 (7 enodes) 52.090 * * [simplify]: iters left: 5 (32 enodes) 52.096 * * [simplify]: iters left: 4 (50 enodes) 52.104 * * [simplify]: iters left: 3 (54 enodes) 52.112 * * [simplify]: Extracting #0: cost 1 inf + 0 52.112 * * [simplify]: Extracting #1: cost 8 inf + 0 52.112 * * [simplify]: Extracting #2: cost 13 inf + 3 52.112 * * [simplify]: Extracting #3: cost 15 inf + 5 52.112 * * [simplify]: Extracting #4: cost 14 inf + 6 52.113 * * [simplify]: Extracting #5: cost 4 inf + 825 52.113 * * [simplify]: Extracting #6: cost 0 inf + 1234 52.114 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4)) 52.114 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4))))) 52.114 * * * * [progress]: [ 64 / 234 ] simplifiying candidate # 52.114 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 52.114 * * [simplify]: iters left: 6 (7 enodes) 52.119 * * [simplify]: iters left: 5 (30 enodes) 52.129 * * [simplify]: iters left: 4 (49 enodes) 52.149 * * [simplify]: iters left: 3 (59 enodes) 52.166 * * [simplify]: iters left: 2 (64 enodes) 52.177 * * [simplify]: Extracting #0: cost 1 inf + 0 52.177 * * [simplify]: Extracting #1: cost 9 inf + 0 52.177 * * [simplify]: Extracting #2: cost 23 inf + 0 52.178 * * [simplify]: Extracting #3: cost 24 inf + 3 52.178 * * [simplify]: Extracting #4: cost 15 inf + 980 52.178 * * [simplify]: Extracting #5: cost 1 inf + 3007 52.179 * * [simplify]: Extracting #6: cost 0 inf + 3169 52.179 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 52.179 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))))) 52.179 * * * * [progress]: [ 65 / 234 ] simplifiying candidate # 52.180 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 52.180 * * [simplify]: iters left: 6 (8 enodes) 52.182 * * [simplify]: iters left: 5 (33 enodes) 52.188 * * [simplify]: iters left: 4 (55 enodes) 52.198 * * [simplify]: iters left: 3 (72 enodes) 52.217 * * [simplify]: iters left: 2 (84 enodes) 52.229 * * [simplify]: iters left: 1 (88 enodes) 52.245 * * [simplify]: Extracting #0: cost 1 inf + 0 52.246 * * [simplify]: Extracting #1: cost 11 inf + 0 52.246 * * [simplify]: Extracting #2: cost 30 inf + 0 52.246 * * [simplify]: Extracting #3: cost 33 inf + 84 52.247 * * [simplify]: Extracting #4: cost 12 inf + 2402 52.248 * * [simplify]: Extracting #5: cost 0 inf + 4469 52.250 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 52.250 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))))) 52.250 * * * * [progress]: [ 66 / 234 ] simplifiying candidate # 52.250 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 52.250 * * [simplify]: iters left: 6 (7 enodes) 52.255 * * [simplify]: iters left: 5 (30 enodes) 52.265 * * [simplify]: iters left: 4 (52 enodes) 52.277 * * [simplify]: iters left: 3 (70 enodes) 52.287 * * [simplify]: iters left: 2 (81 enodes) 52.299 * * [simplify]: iters left: 1 (84 enodes) 52.318 * * [simplify]: Extracting #0: cost 1 inf + 0 52.318 * * [simplify]: Extracting #1: cost 11 inf + 0 52.318 * * [simplify]: Extracting #2: cost 25 inf + 203 52.318 * * [simplify]: Extracting #3: cost 25 inf + 530 52.319 * * [simplify]: Extracting #4: cost 4 inf + 2936 52.320 * * [simplify]: Extracting #5: cost 0 inf + 3504 52.321 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 52.321 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))))) 52.322 * * * * [progress]: [ 67 / 234 ] simplifiying candidate # 52.322 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 52.322 * * [simplify]: iters left: 6 (8 enodes) 52.327 * * [simplify]: iters left: 5 (33 enodes) 52.339 * * [simplify]: iters left: 4 (55 enodes) 52.357 * * [simplify]: iters left: 3 (72 enodes) 52.383 * * [simplify]: iters left: 2 (84 enodes) 52.399 * * [simplify]: iters left: 1 (88 enodes) 52.411 * * [simplify]: Extracting #0: cost 1 inf + 0 52.411 * * [simplify]: Extracting #1: cost 11 inf + 0 52.411 * * [simplify]: Extracting #2: cost 30 inf + 0 52.411 * * [simplify]: Extracting #3: cost 33 inf + 44 52.411 * * [simplify]: Extracting #4: cost 12 inf + 2362 52.412 * * [simplify]: Extracting #5: cost 0 inf + 4469 52.413 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 52.413 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))))) 52.413 * * * * [progress]: [ 68 / 234 ] simplifiying candidate # 52.413 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 52.413 * * [simplify]: iters left: 6 (7 enodes) 52.416 * * [simplify]: iters left: 5 (30 enodes) 52.424 * * [simplify]: iters left: 4 (48 enodes) 52.438 * * [simplify]: iters left: 3 (56 enodes) 52.454 * * [simplify]: Extracting #0: cost 1 inf + 0 52.454 * * [simplify]: Extracting #1: cost 8 inf + 0 52.454 * * [simplify]: Extracting #2: cost 15 inf + 43 52.454 * * [simplify]: Extracting #3: cost 16 inf + 86 52.454 * * [simplify]: Extracting #4: cost 5 inf + 911 52.455 * * [simplify]: Extracting #5: cost 1 inf + 1198 52.456 * * [simplify]: Extracting #6: cost 0 inf + 1320 52.456 * [simplify]: Simplified to (/ (- 1 k) 2) 52.456 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)))) 52.457 * * * * [progress]: [ 69 / 234 ] simplifiying candidate # 52.457 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 52.457 * * [simplify]: iters left: 6 (7 enodes) 52.461 * * [simplify]: iters left: 5 (30 enodes) 52.470 * * [simplify]: iters left: 4 (52 enodes) 52.478 * * [simplify]: iters left: 3 (70 enodes) 52.492 * * [simplify]: iters left: 2 (81 enodes) 52.504 * * [simplify]: iters left: 1 (84 enodes) 52.515 * * [simplify]: Extracting #0: cost 1 inf + 0 52.515 * * [simplify]: Extracting #1: cost 11 inf + 0 52.515 * * [simplify]: Extracting #2: cost 25 inf + 123 52.515 * * [simplify]: Extracting #3: cost 25 inf + 330 52.516 * * [simplify]: Extracting #4: cost 4 inf + 2256 52.516 * * [simplify]: Extracting #5: cost 0 inf + 2704 52.517 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 52.517 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))))) 52.517 * * * * [progress]: [ 70 / 234 ] simplifiying candidate # 52.517 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 52.517 * * [simplify]: iters left: 6 (7 enodes) 52.520 * * [simplify]: iters left: 5 (31 enodes) 52.528 * * [simplify]: iters left: 4 (51 enodes) 52.544 * * [simplify]: iters left: 3 (64 enodes) 52.563 * * [simplify]: iters left: 2 (77 enodes) 52.585 * * [simplify]: iters left: 1 (84 enodes) 52.612 * * [simplify]: Extracting #0: cost 1 inf + 0 52.612 * * [simplify]: Extracting #1: cost 11 inf + 0 52.612 * * [simplify]: Extracting #2: cost 26 inf + 82 52.612 * * [simplify]: Extracting #3: cost 24 inf + 692 52.613 * * [simplify]: Extracting #4: cost 3 inf + 3057 52.614 * * [simplify]: Extracting #5: cost 0 inf + 3504 52.615 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 52.615 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))))) 52.616 * * * * [progress]: [ 71 / 234 ] simplifiying candidate # 52.616 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 52.616 * * [simplify]: iters left: 6 (7 enodes) 52.621 * * [simplify]: iters left: 5 (31 enodes) 52.629 * * [simplify]: iters left: 4 (51 enodes) 52.638 * * [simplify]: iters left: 3 (64 enodes) 52.648 * * [simplify]: iters left: 2 (77 enodes) 52.660 * * [simplify]: iters left: 1 (84 enodes) 52.679 * * [simplify]: Extracting #0: cost 1 inf + 0 52.680 * * [simplify]: Extracting #1: cost 11 inf + 0 52.680 * * [simplify]: Extracting #2: cost 26 inf + 42 52.680 * * [simplify]: Extracting #3: cost 24 inf + 452 52.681 * * [simplify]: Extracting #4: cost 3 inf + 2337 52.682 * * [simplify]: Extracting #5: cost 0 inf + 2704 52.683 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 52.684 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))))) 52.684 * * * * [progress]: [ 72 / 234 ] simplifiying candidate # 52.684 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 52.684 * * [simplify]: iters left: 6 (6 enodes) 52.689 * * [simplify]: iters left: 5 (29 enodes) 52.698 * * [simplify]: iters left: 4 (44 enodes) 52.705 * * [simplify]: iters left: 3 (50 enodes) 52.717 * * [simplify]: iters left: 2 (57 enodes) 52.726 * * [simplify]: Extracting #0: cost 1 inf + 0 52.726 * * [simplify]: Extracting #1: cost 9 inf + 0 52.726 * * [simplify]: Extracting #2: cost 15 inf + 3 52.726 * * [simplify]: Extracting #3: cost 11 inf + 131 52.726 * * [simplify]: Extracting #4: cost 2 inf + 711 52.727 * * [simplify]: Extracting #5: cost 0 inf + 836 52.727 * [simplify]: Simplified to (- 1/4 (/ k 4)) 52.727 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))))) 52.728 * * * * [progress]: [ 73 / 234 ] simplifiying candidate # 52.728 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 52.728 * * [simplify]: iters left: 6 (7 enodes) 52.733 * * [simplify]: iters left: 5 (31 enodes) 52.744 * * [simplify]: iters left: 4 (51 enodes) 52.760 * * [simplify]: iters left: 3 (64 enodes) 52.780 * * [simplify]: iters left: 2 (77 enodes) 52.802 * * [simplify]: iters left: 1 (84 enodes) 52.824 * * [simplify]: Extracting #0: cost 1 inf + 0 52.824 * * [simplify]: Extracting #1: cost 11 inf + 0 52.824 * * [simplify]: Extracting #2: cost 26 inf + 82 52.824 * * [simplify]: Extracting #3: cost 24 inf + 692 52.825 * * [simplify]: Extracting #4: cost 3 inf + 3057 52.826 * * [simplify]: Extracting #5: cost 0 inf + 3504 52.827 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 52.827 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))))) 52.827 * * * * [progress]: [ 74 / 234 ] simplifiying candidate # 52.827 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 52.827 * * [simplify]: iters left: 6 (7 enodes) 52.830 * * [simplify]: iters left: 5 (31 enodes) 52.836 * * [simplify]: iters left: 4 (51 enodes) 52.848 * * [simplify]: iters left: 3 (64 enodes) 52.861 * * [simplify]: iters left: 2 (77 enodes) 52.882 * * [simplify]: iters left: 1 (84 enodes) 52.904 * * [simplify]: Extracting #0: cost 1 inf + 0 52.904 * * [simplify]: Extracting #1: cost 11 inf + 0 52.904 * * [simplify]: Extracting #2: cost 26 inf + 42 52.905 * * [simplify]: Extracting #3: cost 24 inf + 452 52.905 * * [simplify]: Extracting #4: cost 3 inf + 2337 52.907 * * [simplify]: Extracting #5: cost 0 inf + 2704 52.908 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 52.908 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))))) 52.908 * * * * [progress]: [ 75 / 234 ] simplifiying candidate # 52.908 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 52.909 * * [simplify]: iters left: 6 (6 enodes) 52.913 * * [simplify]: iters left: 5 (29 enodes) 52.923 * * [simplify]: iters left: 4 (44 enodes) 52.935 * * [simplify]: iters left: 3 (50 enodes) 52.943 * * [simplify]: iters left: 2 (57 enodes) 52.952 * * [simplify]: Extracting #0: cost 1 inf + 0 52.952 * * [simplify]: Extracting #1: cost 9 inf + 0 52.952 * * [simplify]: Extracting #2: cost 15 inf + 3 52.952 * * [simplify]: Extracting #3: cost 11 inf + 131 52.952 * * [simplify]: Extracting #4: cost 2 inf + 711 52.952 * * [simplify]: Extracting #5: cost 0 inf + 836 52.952 * [simplify]: Simplified to (- 1/4 (/ k 4)) 52.952 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ 1 1)) (- 1/4 (/ k 4))))) 52.953 * * * * [progress]: [ 76 / 234 ] simplifiying candidate # 52.953 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2)) 52.953 * * [simplify]: iters left: 4 (5 enodes) 52.955 * * [simplify]: iters left: 3 (20 enodes) 52.959 * * [simplify]: iters left: 2 (27 enodes) 52.965 * * [simplify]: iters left: 1 (29 enodes) 52.978 * * [simplify]: Extracting #0: cost 1 inf + 0 52.978 * * [simplify]: Extracting #1: cost 8 inf + 0 52.978 * * [simplify]: Extracting #2: cost 4 inf + 449 52.979 * * [simplify]: Extracting #3: cost 0 inf + 895 52.979 * [simplify]: Simplified to (/ 1/2 (cbrt 2)) 52.979 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2))))) 52.979 * * * * [progress]: [ 77 / 234 ] simplifiying candidate # 52.980 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2)) 52.980 * * [simplify]: iters left: 4 (5 enodes) 52.984 * * [simplify]: iters left: 3 (20 enodes) 52.991 * * [simplify]: iters left: 2 (27 enodes) 53.000 * * [simplify]: iters left: 1 (29 enodes) 53.009 * * [simplify]: Extracting #0: cost 1 inf + 0 53.009 * * [simplify]: Extracting #1: cost 8 inf + 0 53.009 * * [simplify]: Extracting #2: cost 4 inf + 289 53.009 * * [simplify]: Extracting #3: cost 0 inf + 575 53.009 * [simplify]: Simplified to (/ 1/2 (sqrt 2)) 53.009 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2))))) 53.010 * * * * [progress]: [ 78 / 234 ] simplifiying candidate # 53.010 * [simplify]: Simplifying (/ (/ 1 2) 2) 53.010 * * [simplify]: iters left: 4 (4 enodes) 53.015 * * [simplify]: iters left: 3 (19 enodes) 53.021 * * [simplify]: iters left: 2 (23 enodes) 53.028 * * [simplify]: Extracting #0: cost 1 inf + 0 53.028 * * [simplify]: Extracting #1: cost 0 inf + 1 53.028 * [simplify]: Simplified to 1/4 53.028 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 1)) 1/4))) 53.028 * * * * [progress]: [ 79 / 234 ] simplifiying candidate # 53.029 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 53.029 * * [simplify]: iters left: 6 (6 enodes) 53.033 * * [simplify]: iters left: 5 (29 enodes) 53.043 * * [simplify]: iters left: 4 (44 enodes) 53.056 * * [simplify]: iters left: 3 (50 enodes) 53.072 * * [simplify]: iters left: 2 (57 enodes) 53.088 * * [simplify]: Extracting #0: cost 1 inf + 0 53.088 * * [simplify]: Extracting #1: cost 9 inf + 0 53.088 * * [simplify]: Extracting #2: cost 15 inf + 3 53.088 * * [simplify]: Extracting #3: cost 11 inf + 131 53.089 * * [simplify]: Extracting #4: cost 2 inf + 711 53.089 * * [simplify]: Extracting #5: cost 0 inf + 836 53.090 * [simplify]: Simplified to (- 1/4 (/ k 4)) 53.090 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) 1) (- 1/4 (/ k 4))))) 53.090 * * * * [progress]: [ 80 / 234 ] simplifiying candidate # 53.090 * [simplify]: Simplifying (/ 1 2) 53.090 * * [simplify]: iters left: 2 (3 enodes) 53.093 * * [simplify]: iters left: 1 (12 enodes) 53.098 * * [simplify]: Extracting #0: cost 1 inf + 0 53.098 * * [simplify]: Extracting #1: cost 0 inf + 1 53.098 * [simplify]: Simplified to 1/2 53.098 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1/2))) 53.098 * * * * [progress]: [ 81 / 234 ] simplifiying candidate # 53.098 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) 53.098 * * [simplify]: iters left: 6 (9 enodes) 53.105 * * [simplify]: iters left: 5 (42 enodes) 53.116 * * [simplify]: iters left: 4 (70 enodes) 53.132 * * [simplify]: iters left: 3 (117 enodes) 53.171 * * [simplify]: iters left: 2 (232 enodes) 53.236 * * [simplify]: iters left: 1 (454 enodes) 53.410 * * [simplify]: Extracting #0: cost 1 inf + 0 53.410 * * [simplify]: Extracting #1: cost 25 inf + 0 53.410 * * [simplify]: Extracting #2: cost 104 inf + 1 53.411 * * [simplify]: Extracting #3: cost 174 inf + 94 53.412 * * [simplify]: Extracting #4: cost 157 inf + 2461 53.416 * * [simplify]: Extracting #5: cost 65 inf + 14842 53.421 * * [simplify]: Extracting #6: cost 25 inf + 35839 53.430 * * [simplify]: Extracting #7: cost 2 inf + 54310 53.439 * * [simplify]: Extracting #8: cost 0 inf + 55922 53.452 * * [simplify]: Extracting #9: cost 0 inf + 55540 53.461 * [simplify]: Simplified to (pow (* 2 PI) (- 1/4 (/ k 4))) 53.461 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (- 1/4 (/ k 4))) (pow n (/ (/ (- 1 k) 2) 2))))) 53.461 * * * * [progress]: [ 82 / 234 ] simplifiying candidate # 53.461 * * * * [progress]: [ 83 / 234 ] simplifiying candidate # 53.461 * * * * [progress]: [ 84 / 234 ] simplifiying candidate # 53.461 * * * * [progress]: [ 85 / 234 ] simplifiying candidate # 53.461 * * * * [progress]: [ 86 / 234 ] simplifiying candidate # 53.461 * * * * [progress]: [ 87 / 234 ] simplifiying candidate # 53.461 * * * * [progress]: [ 88 / 234 ] simplifiying candidate # 53.461 * * * * [progress]: [ 89 / 234 ] simplifiying candidate # 53.461 * * * * [progress]: [ 90 / 234 ] simplifiying candidate #real (real->posit16 (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))))> 53.461 * * * * [progress]: [ 91 / 234 ] simplifiying candidate # 53.462 * * * * [progress]: [ 92 / 234 ] simplifiying candidate # 53.462 * * * * [progress]: [ 93 / 234 ] simplifiying candidate # 53.462 * [simplify]: Simplifying (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2)) 53.462 * * [simplify]: iters left: 6 (14 enodes) 53.470 * * [simplify]: iters left: 5 (60 enodes) 53.491 * * [simplify]: iters left: 4 (108 enodes) 53.517 * * [simplify]: iters left: 3 (257 enodes) 53.600 * * [simplify]: Extracting #0: cost 1 inf + 0 53.601 * * [simplify]: Extracting #1: cost 34 inf + 0 53.601 * * [simplify]: Extracting #2: cost 130 inf + 73 53.602 * * [simplify]: Extracting #3: cost 146 inf + 1773 53.605 * * [simplify]: Extracting #4: cost 62 inf + 18751 53.611 * * [simplify]: Extracting #5: cost 1 inf + 33752 53.624 * * [simplify]: Extracting #6: cost 0 inf + 34016 53.632 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log n) (+ (log 2) (log PI)))) 53.632 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (exp (* (/ (- 1 k) 4) (+ (log n) (+ (log 2) (log PI)))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 53.632 * * * * [progress]: [ 94 / 234 ] simplifiying candidate # 53.632 * [simplify]: Simplifying (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2)) 53.632 * * [simplify]: iters left: 6 (13 enodes) 53.637 * * [simplify]: iters left: 5 (58 enodes) 53.647 * * [simplify]: iters left: 4 (101 enodes) 53.675 * * [simplify]: iters left: 3 (211 enodes) 53.778 * * [simplify]: Extracting #0: cost 1 inf + 0 53.778 * * [simplify]: Extracting #1: cost 28 inf + 0 53.779 * * [simplify]: Extracting #2: cost 110 inf + 73 53.780 * * [simplify]: Extracting #3: cost 132 inf + 822 53.783 * * [simplify]: Extracting #4: cost 75 inf + 9303 53.790 * * [simplify]: Extracting #5: cost 25 inf + 20340 53.801 * * [simplify]: Extracting #6: cost 2 inf + 25585 53.812 * * [simplify]: Extracting #7: cost 0 inf + 26084 53.823 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) 53.823 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (exp (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 53.823 * * * * [progress]: [ 95 / 234 ] simplifiying candidate # 53.823 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)) 53.824 * * [simplify]: iters left: 6 (12 enodes) 53.831 * * [simplify]: iters left: 5 (57 enodes) 53.852 * * [simplify]: iters left: 4 (111 enodes) 53.879 * * [simplify]: iters left: 3 (213 enodes) 53.927 * * [simplify]: iters left: 2 (471 enodes) 54.139 * * [simplify]: Extracting #0: cost 1 inf + 0 54.140 * * [simplify]: Extracting #1: cost 40 inf + 0 54.141 * * [simplify]: Extracting #2: cost 152 inf + 75 54.143 * * [simplify]: Extracting #3: cost 192 inf + 1136 54.151 * * [simplify]: Extracting #4: cost 83 inf + 19108 54.168 * * [simplify]: Extracting #5: cost 6 inf + 35563 54.186 * * [simplify]: Extracting #6: cost 0 inf + 37089 54.195 * [simplify]: Simplified to (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 4) 54.195 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (exp (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 4))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 54.195 * * * * [progress]: [ 96 / 234 ] simplifiying candidate # 54.196 * * * * [progress]: [ 97 / 234 ] simplifiying candidate # 54.196 * [simplify]: Simplifying (* (* 2 PI) n) 54.196 * * [simplify]: iters left: 4 (5 enodes) 54.198 * * [simplify]: iters left: 3 (19 enodes) 54.201 * * [simplify]: iters left: 2 (27 enodes) 54.205 * * [simplify]: iters left: 1 (32 enodes) 54.209 * * [simplify]: Extracting #0: cost 1 inf + 0 54.209 * * [simplify]: Extracting #1: cost 8 inf + 0 54.209 * * [simplify]: Extracting #2: cost 7 inf + 45 54.209 * * [simplify]: Extracting #3: cost 0 inf + 421 54.209 * [simplify]: Simplified to (* (* 2 PI) n) 54.209 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (/ (- 1 k) 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 54.209 * * * * [progress]: [ 98 / 234 ] simplifiying candidate # 54.210 * [simplify]: Simplifying (* (* 2 PI) n) 54.210 * * [simplify]: iters left: 4 (5 enodes) 54.211 * * [simplify]: iters left: 3 (19 enodes) 54.214 * * [simplify]: iters left: 2 (27 enodes) 54.223 * * [simplify]: iters left: 1 (32 enodes) 54.231 * * [simplify]: Extracting #0: cost 1 inf + 0 54.231 * * [simplify]: Extracting #1: cost 8 inf + 0 54.231 * * [simplify]: Extracting #2: cost 7 inf + 45 54.231 * * [simplify]: Extracting #3: cost 0 inf + 421 54.231 * [simplify]: Simplified to (* (* 2 PI) n) 54.231 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (/ (- 1 k) 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 54.231 * * * * [progress]: [ 99 / 234 ] simplifiying candidate # 54.231 * [simplify]: Simplifying (* (* 2 PI) n) 54.232 * * [simplify]: iters left: 4 (5 enodes) 54.233 * * [simplify]: iters left: 3 (19 enodes) 54.236 * * [simplify]: iters left: 2 (27 enodes) 54.240 * * [simplify]: iters left: 1 (32 enodes) 54.244 * * [simplify]: Extracting #0: cost 1 inf + 0 54.244 * * [simplify]: Extracting #1: cost 8 inf + 0 54.245 * * [simplify]: Extracting #2: cost 7 inf + 45 54.245 * * [simplify]: Extracting #3: cost 0 inf + 421 54.245 * [simplify]: Simplified to (* (* 2 PI) n) 54.245 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (/ (- 1 k) 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 54.245 * * * * [progress]: [ 100 / 234 ] simplifiying candidate # 54.245 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (/ k 2) 2)) 54.245 * * [simplify]: iters left: 5 (9 enodes) 54.248 * * [simplify]: iters left: 4 (37 enodes) 54.255 * * [simplify]: iters left: 3 (57 enodes) 54.272 * * [simplify]: iters left: 2 (93 enodes) 54.290 * * [simplify]: iters left: 1 (170 enodes) 54.342 * * [simplify]: Extracting #0: cost 1 inf + 0 54.342 * * [simplify]: Extracting #1: cost 13 inf + 0 54.343 * * [simplify]: Extracting #2: cost 60 inf + 1 54.343 * * [simplify]: Extracting #3: cost 80 inf + 93 54.345 * * [simplify]: Extracting #4: cost 43 inf + 3168 54.348 * * [simplify]: Extracting #5: cost 12 inf + 13240 54.354 * * [simplify]: Extracting #6: cost 1 inf + 19094 54.360 * * [simplify]: Extracting #7: cost 0 inf + 19509 54.366 * * [simplify]: Extracting #8: cost 0 inf + 19469 54.372 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ k 4)) 54.373 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ (/ 1 2) 2)) (pow (* (* 2 PI) n) (/ k 4)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 54.373 * * * * [progress]: [ 101 / 234 ] simplifiying candidate # 54.373 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2)) 54.373 * * [simplify]: iters left: 6 (7 enodes) 54.377 * * [simplify]: iters left: 5 (32 enodes) 54.386 * * [simplify]: iters left: 4 (47 enodes) 54.394 * * [simplify]: iters left: 3 (53 enodes) 54.403 * * [simplify]: iters left: 2 (60 enodes) 54.412 * * [simplify]: Extracting #0: cost 1 inf + 0 54.412 * * [simplify]: Extracting #1: cost 3 inf + 0 54.412 * * [simplify]: Extracting #2: cost 11 inf + 0 54.412 * * [simplify]: Extracting #3: cost 17 inf + 3 54.412 * * [simplify]: Extracting #4: cost 14 inf + 129 54.412 * * [simplify]: Extracting #5: cost 3 inf + 794 54.413 * * [simplify]: Extracting #6: cost 0 inf + 1162 54.413 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4))) 54.413 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 54.413 * * * * [progress]: [ 102 / 234 ] simplifiying candidate # 54.413 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2)) 54.413 * * [simplify]: iters left: 6 (7 enodes) 54.416 * * [simplify]: iters left: 5 (32 enodes) 54.422 * * [simplify]: iters left: 4 (47 enodes) 54.430 * * [simplify]: iters left: 3 (53 enodes) 54.441 * * [simplify]: iters left: 2 (60 enodes) 54.457 * * [simplify]: Extracting #0: cost 1 inf + 0 54.457 * * [simplify]: Extracting #1: cost 3 inf + 0 54.457 * * [simplify]: Extracting #2: cost 11 inf + 0 54.457 * * [simplify]: Extracting #3: cost 17 inf + 3 54.457 * * [simplify]: Extracting #4: cost 14 inf + 129 54.457 * * [simplify]: Extracting #5: cost 3 inf + 794 54.457 * * [simplify]: Extracting #6: cost 0 inf + 1082 54.458 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4))) 54.458 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 54.458 * * * * [progress]: [ 103 / 234 ] simplifiying candidate # 54.458 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 54.458 * * [simplify]: iters left: 6 (8 enodes) 54.461 * * [simplify]: iters left: 5 (32 enodes) 54.467 * * [simplify]: iters left: 4 (41 enodes) 54.473 * * [simplify]: Extracting #0: cost 1 inf + 0 54.473 * * [simplify]: Extracting #1: cost 4 inf + 0 54.473 * * [simplify]: Extracting #2: cost 8 inf + 0 54.473 * * [simplify]: Extracting #3: cost 9 inf + 163 54.473 * * [simplify]: Extracting #4: cost 13 inf + 164 54.473 * * [simplify]: Extracting #5: cost 10 inf + 249 54.474 * * [simplify]: Extracting #6: cost 3 inf + 986 54.474 * * [simplify]: Extracting #7: cost 0 inf + 1474 54.474 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 54.474 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 54.474 * * * * [progress]: [ 104 / 234 ] simplifiying candidate # 54.474 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 54.475 * * [simplify]: iters left: 6 (8 enodes) 54.480 * * [simplify]: iters left: 5 (32 enodes) 54.487 * * [simplify]: iters left: 4 (41 enodes) 54.493 * * [simplify]: Extracting #0: cost 1 inf + 0 54.493 * * [simplify]: Extracting #1: cost 4 inf + 0 54.493 * * [simplify]: Extracting #2: cost 8 inf + 0 54.493 * * [simplify]: Extracting #3: cost 9 inf + 83 54.494 * * [simplify]: Extracting #4: cost 13 inf + 84 54.494 * * [simplify]: Extracting #5: cost 10 inf + 169 54.494 * * [simplify]: Extracting #6: cost 3 inf + 866 54.494 * * [simplify]: Extracting #7: cost 0 inf + 1314 54.494 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 54.494 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 54.494 * * * * [progress]: [ 105 / 234 ] simplifiying candidate # 54.495 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2) 54.495 * * [simplify]: iters left: 6 (7 enodes) 54.497 * * [simplify]: iters left: 5 (29 enodes) 54.502 * * [simplify]: iters left: 4 (38 enodes) 54.514 * * [simplify]: Extracting #0: cost 1 inf + 0 54.514 * * [simplify]: Extracting #1: cost 4 inf + 0 54.514 * * [simplify]: Extracting #2: cost 5 inf + 1 54.514 * * [simplify]: Extracting #3: cost 9 inf + 1 54.514 * * [simplify]: Extracting #4: cost 13 inf + 2 54.514 * * [simplify]: Extracting #5: cost 12 inf + 4 54.514 * * [simplify]: Extracting #6: cost 2 inf + 746 54.515 * * [simplify]: Extracting #7: cost 0 inf + 1152 54.515 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2) 54.515 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 54.515 * * * * [progress]: [ 106 / 234 ] simplifiying candidate # 54.516 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 54.516 * * [simplify]: iters left: 6 (8 enodes) 54.521 * * [simplify]: iters left: 5 (32 enodes) 54.533 * * [simplify]: iters left: 4 (41 enodes) 54.546 * * [simplify]: Extracting #0: cost 1 inf + 0 54.546 * * [simplify]: Extracting #1: cost 4 inf + 0 54.546 * * [simplify]: Extracting #2: cost 8 inf + 0 54.546 * * [simplify]: Extracting #3: cost 9 inf + 163 54.546 * * [simplify]: Extracting #4: cost 13 inf + 164 54.546 * * [simplify]: Extracting #5: cost 10 inf + 249 54.547 * * [simplify]: Extracting #6: cost 3 inf + 906 54.547 * * [simplify]: Extracting #7: cost 0 inf + 1314 54.548 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 54.548 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 54.548 * * * * [progress]: [ 107 / 234 ] simplifiying candidate # 54.548 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 54.549 * * [simplify]: iters left: 6 (8 enodes) 54.554 * * [simplify]: iters left: 5 (32 enodes) 54.560 * * [simplify]: iters left: 4 (41 enodes) 54.567 * * [simplify]: Extracting #0: cost 1 inf + 0 54.567 * * [simplify]: Extracting #1: cost 4 inf + 0 54.567 * * [simplify]: Extracting #2: cost 8 inf + 0 54.567 * * [simplify]: Extracting #3: cost 9 inf + 83 54.568 * * [simplify]: Extracting #4: cost 13 inf + 84 54.568 * * [simplify]: Extracting #5: cost 10 inf + 169 54.568 * * [simplify]: Extracting #6: cost 3 inf + 786 54.568 * * [simplify]: Extracting #7: cost 0 inf + 1154 54.568 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 54.568 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 54.568 * * * * [progress]: [ 108 / 234 ] simplifiying candidate # 54.569 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2) 54.569 * * [simplify]: iters left: 6 (7 enodes) 54.571 * * [simplify]: iters left: 5 (29 enodes) 54.577 * * [simplify]: iters left: 4 (38 enodes) 54.583 * * [simplify]: Extracting #0: cost 1 inf + 0 54.583 * * [simplify]: Extracting #1: cost 4 inf + 0 54.583 * * [simplify]: Extracting #2: cost 5 inf + 1 54.583 * * [simplify]: Extracting #3: cost 9 inf + 1 54.584 * * [simplify]: Extracting #4: cost 13 inf + 2 54.584 * * [simplify]: Extracting #5: cost 12 inf + 4 54.584 * * [simplify]: Extracting #6: cost 2 inf + 666 54.584 * * [simplify]: Extracting #7: cost 0 inf + 992 54.585 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2) 54.585 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 54.585 * * * * [progress]: [ 109 / 234 ] simplifiying candidate # 54.585 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) 54.585 * * [simplify]: iters left: 6 (8 enodes) 54.590 * * [simplify]: iters left: 5 (30 enodes) 54.604 * * [simplify]: iters left: 4 (37 enodes) 54.615 * * [simplify]: Extracting #0: cost 1 inf + 0 54.615 * * [simplify]: Extracting #1: cost 6 inf + 0 54.615 * * [simplify]: Extracting #2: cost 12 inf + 0 54.616 * * [simplify]: Extracting #3: cost 11 inf + 405 54.616 * * [simplify]: Extracting #4: cost 10 inf + 407 54.616 * * [simplify]: Extracting #5: cost 4 inf + 1220 54.617 * * [simplify]: Extracting #6: cost 0 inf + 1869 54.617 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 54.617 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 54.617 * * * * [progress]: [ 110 / 234 ] simplifiying candidate # 54.618 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 54.618 * * [simplify]: iters left: 6 (9 enodes) 54.623 * * [simplify]: iters left: 5 (33 enodes) 54.634 * * [simplify]: iters left: 4 (43 enodes) 54.648 * * [simplify]: iters left: 3 (45 enodes) 54.661 * * [simplify]: Extracting #0: cost 1 inf + 0 54.661 * * [simplify]: Extracting #1: cost 8 inf + 0 54.661 * * [simplify]: Extracting #2: cost 16 inf + 0 54.662 * * [simplify]: Extracting #3: cost 16 inf + 284 54.662 * * [simplify]: Extracting #4: cost 11 inf + 610 54.662 * * [simplify]: Extracting #5: cost 8 inf + 815 54.663 * * [simplify]: Extracting #6: cost 0 inf + 2517 54.663 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 54.663 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 54.664 * * * * [progress]: [ 111 / 234 ] simplifiying candidate # 54.664 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) 54.664 * * [simplify]: iters left: 6 (8 enodes) 54.669 * * [simplify]: iters left: 5 (30 enodes) 54.675 * * [simplify]: iters left: 4 (40 enodes) 54.681 * * [simplify]: iters left: 3 (42 enodes) 54.687 * * [simplify]: Extracting #0: cost 1 inf + 0 54.687 * * [simplify]: Extracting #1: cost 8 inf + 0 54.687 * * [simplify]: Extracting #2: cost 12 inf + 82 54.687 * * [simplify]: Extracting #3: cost 13 inf + 405 54.687 * * [simplify]: Extracting #4: cost 12 inf + 407 54.688 * * [simplify]: Extracting #5: cost 5 inf + 1383 54.688 * * [simplify]: Extracting #6: cost 0 inf + 2195 54.688 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2))) 54.688 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 54.688 * * * * [progress]: [ 112 / 234 ] simplifiying candidate # 54.689 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 54.689 * * [simplify]: iters left: 6 (9 enodes) 54.692 * * [simplify]: iters left: 5 (33 enodes) 54.698 * * [simplify]: iters left: 4 (43 enodes) 54.711 * * [simplify]: iters left: 3 (45 enodes) 54.725 * * [simplify]: Extracting #0: cost 1 inf + 0 54.725 * * [simplify]: Extracting #1: cost 8 inf + 0 54.725 * * [simplify]: Extracting #2: cost 16 inf + 0 54.725 * * [simplify]: Extracting #3: cost 16 inf + 284 54.725 * * [simplify]: Extracting #4: cost 11 inf + 610 54.725 * * [simplify]: Extracting #5: cost 8 inf + 815 54.726 * * [simplify]: Extracting #6: cost 0 inf + 2517 54.727 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 54.727 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 54.727 * * * * [progress]: [ 113 / 234 ] simplifiying candidate # 54.728 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) 54.728 * * [simplify]: iters left: 6 (8 enodes) 54.736 * * [simplify]: iters left: 5 (30 enodes) 54.746 * * [simplify]: iters left: 4 (35 enodes) 54.757 * * [simplify]: Extracting #0: cost 1 inf + 0 54.757 * * [simplify]: Extracting #1: cost 6 inf + 0 54.757 * * [simplify]: Extracting #2: cost 8 inf + 42 54.757 * * [simplify]: Extracting #3: cost 11 inf + 83 54.757 * * [simplify]: Extracting #4: cost 10 inf + 85 54.757 * * [simplify]: Extracting #5: cost 4 inf + 658 54.758 * * [simplify]: Extracting #6: cost 0 inf + 1227 54.758 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 54.758 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 54.758 * * * * [progress]: [ 114 / 234 ] simplifiying candidate # 54.759 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) 54.759 * * [simplify]: iters left: 6 (8 enodes) 54.763 * * [simplify]: iters left: 5 (30 enodes) 54.773 * * [simplify]: iters left: 4 (40 enodes) 54.786 * * [simplify]: iters left: 3 (42 enodes) 54.798 * * [simplify]: Extracting #0: cost 1 inf + 0 54.799 * * [simplify]: Extracting #1: cost 8 inf + 0 54.799 * * [simplify]: Extracting #2: cost 12 inf + 42 54.799 * * [simplify]: Extracting #3: cost 13 inf + 245 54.799 * * [simplify]: Extracting #4: cost 12 inf + 247 54.799 * * [simplify]: Extracting #5: cost 5 inf + 1143 54.800 * * [simplify]: Extracting #6: cost 0 inf + 1875 54.800 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2))) 54.801 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 54.801 * * * * [progress]: [ 115 / 234 ] simplifiying candidate # 54.801 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) 54.801 * * [simplify]: iters left: 6 (8 enodes) 54.806 * * [simplify]: iters left: 5 (30 enodes) 54.817 * * [simplify]: iters left: 4 (40 enodes) 54.829 * * [simplify]: iters left: 3 (42 enodes) 54.841 * * [simplify]: Extracting #0: cost 1 inf + 0 54.841 * * [simplify]: Extracting #1: cost 8 inf + 0 54.841 * * [simplify]: Extracting #2: cost 11 inf + 203 54.842 * * [simplify]: Extracting #3: cost 13 inf + 405 54.842 * * [simplify]: Extracting #4: cost 12 inf + 407 54.842 * * [simplify]: Extracting #5: cost 3 inf + 1789 54.843 * * [simplify]: Extracting #6: cost 0 inf + 2195 54.843 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2)) 54.843 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 54.844 * * * * [progress]: [ 116 / 234 ] simplifiying candidate # 54.844 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) 54.844 * * [simplify]: iters left: 6 (8 enodes) 54.849 * * [simplify]: iters left: 5 (30 enodes) 54.860 * * [simplify]: iters left: 4 (40 enodes) 54.871 * * [simplify]: iters left: 3 (42 enodes) 54.884 * * [simplify]: Extracting #0: cost 1 inf + 0 54.884 * * [simplify]: Extracting #1: cost 8 inf + 0 54.884 * * [simplify]: Extracting #2: cost 11 inf + 123 54.884 * * [simplify]: Extracting #3: cost 13 inf + 245 54.884 * * [simplify]: Extracting #4: cost 12 inf + 247 54.884 * * [simplify]: Extracting #5: cost 3 inf + 1509 54.885 * * [simplify]: Extracting #6: cost 0 inf + 1875 54.886 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2)) 54.886 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 54.886 * * * * [progress]: [ 117 / 234 ] simplifiying candidate # 54.886 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2) 54.886 * * [simplify]: iters left: 6 (7 enodes) 54.891 * * [simplify]: iters left: 5 (28 enodes) 54.897 * * [simplify]: iters left: 4 (35 enodes) 54.902 * * [simplify]: Extracting #0: cost 1 inf + 0 54.903 * * [simplify]: Extracting #1: cost 6 inf + 0 54.903 * * [simplify]: Extracting #2: cost 7 inf + 2 54.903 * * [simplify]: Extracting #3: cost 11 inf + 2 54.903 * * [simplify]: Extracting #4: cost 9 inf + 45 54.903 * * [simplify]: Extracting #5: cost 4 inf + 455 54.903 * * [simplify]: Extracting #6: cost 0 inf + 1066 54.903 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4) 54.903 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 54.903 * * * * [progress]: [ 118 / 234 ] simplifiying candidate # 54.904 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) 54.904 * * [simplify]: iters left: 6 (8 enodes) 54.906 * * [simplify]: iters left: 5 (30 enodes) 54.911 * * [simplify]: iters left: 4 (37 enodes) 54.918 * * [simplify]: Extracting #0: cost 1 inf + 0 54.918 * * [simplify]: Extracting #1: cost 6 inf + 0 54.918 * * [simplify]: Extracting #2: cost 12 inf + 0 54.918 * * [simplify]: Extracting #3: cost 11 inf + 405 54.918 * * [simplify]: Extracting #4: cost 10 inf + 407 54.918 * * [simplify]: Extracting #5: cost 4 inf + 1100 54.918 * * [simplify]: Extracting #6: cost 0 inf + 1629 54.919 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 54.919 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 54.919 * * * * [progress]: [ 119 / 234 ] simplifiying candidate # 54.920 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 54.920 * * [simplify]: iters left: 6 (9 enodes) 54.925 * * [simplify]: iters left: 5 (33 enodes) 54.937 * * [simplify]: iters left: 4 (43 enodes) 54.950 * * [simplify]: iters left: 3 (45 enodes) 54.964 * * [simplify]: Extracting #0: cost 1 inf + 0 54.964 * * [simplify]: Extracting #1: cost 8 inf + 0 54.964 * * [simplify]: Extracting #2: cost 16 inf + 0 54.964 * * [simplify]: Extracting #3: cost 16 inf + 284 54.964 * * [simplify]: Extracting #4: cost 11 inf + 610 54.964 * * [simplify]: Extracting #5: cost 8 inf + 775 54.965 * * [simplify]: Extracting #6: cost 0 inf + 2197 54.966 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 54.966 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 54.966 * * * * [progress]: [ 120 / 234 ] simplifiying candidate # 54.966 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) 54.966 * * [simplify]: iters left: 6 (8 enodes) 54.971 * * [simplify]: iters left: 5 (30 enodes) 54.981 * * [simplify]: iters left: 4 (40 enodes) 54.992 * * [simplify]: iters left: 3 (42 enodes) 55.000 * * [simplify]: Extracting #0: cost 1 inf + 0 55.000 * * [simplify]: Extracting #1: cost 8 inf + 0 55.000 * * [simplify]: Extracting #2: cost 12 inf + 82 55.000 * * [simplify]: Extracting #3: cost 13 inf + 405 55.000 * * [simplify]: Extracting #4: cost 12 inf + 407 55.000 * * [simplify]: Extracting #5: cost 5 inf + 1223 55.000 * * [simplify]: Extracting #6: cost 0 inf + 1875 55.001 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2))) 55.001 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.001 * * * * [progress]: [ 121 / 234 ] simplifiying candidate # 55.001 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 55.001 * * [simplify]: iters left: 6 (9 enodes) 55.004 * * [simplify]: iters left: 5 (33 enodes) 55.014 * * [simplify]: iters left: 4 (43 enodes) 55.021 * * [simplify]: iters left: 3 (45 enodes) 55.031 * * [simplify]: Extracting #0: cost 1 inf + 0 55.031 * * [simplify]: Extracting #1: cost 8 inf + 0 55.031 * * [simplify]: Extracting #2: cost 16 inf + 0 55.031 * * [simplify]: Extracting #3: cost 16 inf + 284 55.031 * * [simplify]: Extracting #4: cost 11 inf + 610 55.032 * * [simplify]: Extracting #5: cost 8 inf + 775 55.032 * * [simplify]: Extracting #6: cost 0 inf + 2197 55.033 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 55.033 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.033 * * * * [progress]: [ 122 / 234 ] simplifiying candidate # 55.034 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 55.034 * * [simplify]: iters left: 6 (8 enodes) 55.038 * * [simplify]: iters left: 5 (30 enodes) 55.048 * * [simplify]: iters left: 4 (35 enodes) 55.054 * * [simplify]: Extracting #0: cost 1 inf + 0 55.054 * * [simplify]: Extracting #1: cost 6 inf + 0 55.054 * * [simplify]: Extracting #2: cost 8 inf + 42 55.054 * * [simplify]: Extracting #3: cost 11 inf + 83 55.054 * * [simplify]: Extracting #4: cost 10 inf + 85 55.054 * * [simplify]: Extracting #5: cost 4 inf + 538 55.055 * * [simplify]: Extracting #6: cost 0 inf + 987 55.055 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 55.055 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.055 * * * * [progress]: [ 123 / 234 ] simplifiying candidate # 55.055 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) 55.055 * * [simplify]: iters left: 6 (8 enodes) 55.058 * * [simplify]: iters left: 5 (30 enodes) 55.064 * * [simplify]: iters left: 4 (40 enodes) 55.075 * * [simplify]: iters left: 3 (42 enodes) 55.082 * * [simplify]: Extracting #0: cost 1 inf + 0 55.082 * * [simplify]: Extracting #1: cost 8 inf + 0 55.082 * * [simplify]: Extracting #2: cost 12 inf + 42 55.082 * * [simplify]: Extracting #3: cost 13 inf + 245 55.082 * * [simplify]: Extracting #4: cost 12 inf + 247 55.083 * * [simplify]: Extracting #5: cost 5 inf + 983 55.083 * * [simplify]: Extracting #6: cost 0 inf + 1555 55.083 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2))) 55.083 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.083 * * * * [progress]: [ 124 / 234 ] simplifiying candidate # 55.084 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) 55.084 * * [simplify]: iters left: 6 (8 enodes) 55.086 * * [simplify]: iters left: 5 (30 enodes) 55.092 * * [simplify]: iters left: 4 (40 enodes) 55.098 * * [simplify]: iters left: 3 (42 enodes) 55.105 * * [simplify]: Extracting #0: cost 1 inf + 0 55.105 * * [simplify]: Extracting #1: cost 8 inf + 0 55.105 * * [simplify]: Extracting #2: cost 11 inf + 203 55.105 * * [simplify]: Extracting #3: cost 13 inf + 405 55.106 * * [simplify]: Extracting #4: cost 12 inf + 407 55.106 * * [simplify]: Extracting #5: cost 3 inf + 1549 55.106 * * [simplify]: Extracting #6: cost 0 inf + 1875 55.107 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2)) 55.107 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.107 * * * * [progress]: [ 125 / 234 ] simplifiying candidate # 55.107 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) 55.107 * * [simplify]: iters left: 6 (8 enodes) 55.110 * * [simplify]: iters left: 5 (30 enodes) 55.117 * * [simplify]: iters left: 4 (40 enodes) 55.123 * * [simplify]: iters left: 3 (42 enodes) 55.130 * * [simplify]: Extracting #0: cost 1 inf + 0 55.130 * * [simplify]: Extracting #1: cost 8 inf + 0 55.130 * * [simplify]: Extracting #2: cost 11 inf + 123 55.130 * * [simplify]: Extracting #3: cost 13 inf + 245 55.130 * * [simplify]: Extracting #4: cost 12 inf + 247 55.130 * * [simplify]: Extracting #5: cost 3 inf + 1269 55.131 * * [simplify]: Extracting #6: cost 0 inf + 1555 55.131 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2)) 55.131 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.131 * * * * [progress]: [ 126 / 234 ] simplifiying candidate # 55.131 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2) 55.131 * * [simplify]: iters left: 6 (7 enodes) 55.134 * * [simplify]: iters left: 5 (28 enodes) 55.139 * * [simplify]: iters left: 4 (35 enodes) 55.144 * * [simplify]: Extracting #0: cost 1 inf + 0 55.144 * * [simplify]: Extracting #1: cost 6 inf + 0 55.144 * * [simplify]: Extracting #2: cost 7 inf + 2 55.144 * * [simplify]: Extracting #3: cost 11 inf + 2 55.144 * * [simplify]: Extracting #4: cost 9 inf + 45 55.144 * * [simplify]: Extracting #5: cost 4 inf + 375 55.145 * * [simplify]: Extracting #6: cost 0 inf + 826 55.145 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4) 55.145 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.145 * * * * [progress]: [ 127 / 234 ] simplifiying candidate # 55.145 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 55.145 * * [simplify]: iters left: 6 (7 enodes) 55.148 * * [simplify]: iters left: 5 (30 enodes) 55.153 * * [simplify]: iters left: 4 (49 enodes) 55.162 * * [simplify]: iters left: 3 (59 enodes) 55.171 * * [simplify]: iters left: 2 (64 enodes) 55.180 * * [simplify]: Extracting #0: cost 1 inf + 0 55.180 * * [simplify]: Extracting #1: cost 9 inf + 0 55.180 * * [simplify]: Extracting #2: cost 23 inf + 0 55.180 * * [simplify]: Extracting #3: cost 24 inf + 3 55.180 * * [simplify]: Extracting #4: cost 15 inf + 980 55.180 * * [simplify]: Extracting #5: cost 1 inf + 3007 55.181 * * [simplify]: Extracting #6: cost 0 inf + 3169 55.181 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 55.181 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.182 * * * * [progress]: [ 128 / 234 ] simplifiying candidate # 55.182 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 55.182 * * [simplify]: iters left: 6 (8 enodes) 55.185 * * [simplify]: iters left: 5 (33 enodes) 55.191 * * [simplify]: iters left: 4 (55 enodes) 55.203 * * [simplify]: iters left: 3 (72 enodes) 55.214 * * [simplify]: iters left: 2 (84 enodes) 55.227 * * [simplify]: iters left: 1 (88 enodes) 55.239 * * [simplify]: Extracting #0: cost 1 inf + 0 55.239 * * [simplify]: Extracting #1: cost 11 inf + 0 55.239 * * [simplify]: Extracting #2: cost 30 inf + 0 55.239 * * [simplify]: Extracting #3: cost 33 inf + 84 55.239 * * [simplify]: Extracting #4: cost 12 inf + 2402 55.240 * * [simplify]: Extracting #5: cost 0 inf + 4469 55.241 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 55.241 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.241 * * * * [progress]: [ 129 / 234 ] simplifiying candidate # 55.241 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 55.241 * * [simplify]: iters left: 6 (7 enodes) 55.244 * * [simplify]: iters left: 5 (30 enodes) 55.250 * * [simplify]: iters left: 4 (52 enodes) 55.259 * * [simplify]: iters left: 3 (70 enodes) 55.270 * * [simplify]: iters left: 2 (81 enodes) 55.284 * * [simplify]: iters left: 1 (84 enodes) 55.295 * * [simplify]: Extracting #0: cost 1 inf + 0 55.296 * * [simplify]: Extracting #1: cost 11 inf + 0 55.296 * * [simplify]: Extracting #2: cost 25 inf + 203 55.296 * * [simplify]: Extracting #3: cost 25 inf + 530 55.296 * * [simplify]: Extracting #4: cost 4 inf + 2936 55.297 * * [simplify]: Extracting #5: cost 0 inf + 3504 55.297 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 55.297 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.298 * * * * [progress]: [ 130 / 234 ] simplifiying candidate # 55.298 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 55.298 * * [simplify]: iters left: 6 (8 enodes) 55.301 * * [simplify]: iters left: 5 (33 enodes) 55.307 * * [simplify]: iters left: 4 (55 enodes) 55.316 * * [simplify]: iters left: 3 (72 enodes) 55.327 * * [simplify]: iters left: 2 (84 enodes) 55.340 * * [simplify]: iters left: 1 (88 enodes) 55.352 * * [simplify]: Extracting #0: cost 1 inf + 0 55.352 * * [simplify]: Extracting #1: cost 11 inf + 0 55.352 * * [simplify]: Extracting #2: cost 30 inf + 0 55.352 * * [simplify]: Extracting #3: cost 33 inf + 44 55.353 * * [simplify]: Extracting #4: cost 12 inf + 2362 55.353 * * [simplify]: Extracting #5: cost 0 inf + 4469 55.354 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 55.354 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.354 * * * * [progress]: [ 131 / 234 ] simplifiying candidate # 55.354 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 55.355 * * [simplify]: iters left: 6 (7 enodes) 55.357 * * [simplify]: iters left: 5 (30 enodes) 55.367 * * [simplify]: iters left: 4 (48 enodes) 55.374 * * [simplify]: iters left: 3 (56 enodes) 55.383 * * [simplify]: Extracting #0: cost 1 inf + 0 55.383 * * [simplify]: Extracting #1: cost 8 inf + 0 55.383 * * [simplify]: Extracting #2: cost 15 inf + 43 55.383 * * [simplify]: Extracting #3: cost 16 inf + 86 55.383 * * [simplify]: Extracting #4: cost 5 inf + 911 55.384 * * [simplify]: Extracting #5: cost 1 inf + 1198 55.384 * * [simplify]: Extracting #6: cost 0 inf + 1320 55.384 * [simplify]: Simplified to (/ (- 1 k) 2) 55.384 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.385 * * * * [progress]: [ 132 / 234 ] simplifiying candidate # 55.385 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 55.385 * * [simplify]: iters left: 6 (7 enodes) 55.387 * * [simplify]: iters left: 5 (30 enodes) 55.393 * * [simplify]: iters left: 4 (52 enodes) 55.402 * * [simplify]: iters left: 3 (70 enodes) 55.412 * * [simplify]: iters left: 2 (81 enodes) 55.425 * * [simplify]: iters left: 1 (84 enodes) 55.447 * * [simplify]: Extracting #0: cost 1 inf + 0 55.447 * * [simplify]: Extracting #1: cost 11 inf + 0 55.447 * * [simplify]: Extracting #2: cost 25 inf + 123 55.448 * * [simplify]: Extracting #3: cost 25 inf + 330 55.449 * * [simplify]: Extracting #4: cost 4 inf + 2256 55.450 * * [simplify]: Extracting #5: cost 0 inf + 2704 55.451 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 55.451 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.451 * * * * [progress]: [ 133 / 234 ] simplifiying candidate # 55.451 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 55.451 * * [simplify]: iters left: 6 (7 enodes) 55.454 * * [simplify]: iters left: 5 (31 enodes) 55.464 * * [simplify]: iters left: 4 (51 enodes) 55.473 * * [simplify]: iters left: 3 (64 enodes) 55.487 * * [simplify]: iters left: 2 (77 enodes) 55.504 * * [simplify]: iters left: 1 (84 enodes) 55.516 * * [simplify]: Extracting #0: cost 1 inf + 0 55.516 * * [simplify]: Extracting #1: cost 11 inf + 0 55.516 * * [simplify]: Extracting #2: cost 26 inf + 82 55.516 * * [simplify]: Extracting #3: cost 24 inf + 692 55.516 * * [simplify]: Extracting #4: cost 3 inf + 3057 55.517 * * [simplify]: Extracting #5: cost 0 inf + 3504 55.517 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 55.518 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.518 * * * * [progress]: [ 134 / 234 ] simplifiying candidate # 55.518 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 55.518 * * [simplify]: iters left: 6 (7 enodes) 55.521 * * [simplify]: iters left: 5 (31 enodes) 55.527 * * [simplify]: iters left: 4 (51 enodes) 55.542 * * [simplify]: iters left: 3 (64 enodes) 55.552 * * [simplify]: iters left: 2 (77 enodes) 55.566 * * [simplify]: iters left: 1 (84 enodes) 55.586 * * [simplify]: Extracting #0: cost 1 inf + 0 55.586 * * [simplify]: Extracting #1: cost 11 inf + 0 55.586 * * [simplify]: Extracting #2: cost 26 inf + 42 55.587 * * [simplify]: Extracting #3: cost 24 inf + 452 55.587 * * [simplify]: Extracting #4: cost 3 inf + 2337 55.589 * * [simplify]: Extracting #5: cost 0 inf + 2704 55.590 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 55.590 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.590 * * * * [progress]: [ 135 / 234 ] simplifiying candidate # 55.590 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 55.590 * * [simplify]: iters left: 6 (6 enodes) 55.595 * * [simplify]: iters left: 5 (29 enodes) 55.602 * * [simplify]: iters left: 4 (44 enodes) 55.609 * * [simplify]: iters left: 3 (50 enodes) 55.617 * * [simplify]: iters left: 2 (57 enodes) 55.626 * * [simplify]: Extracting #0: cost 1 inf + 0 55.626 * * [simplify]: Extracting #1: cost 9 inf + 0 55.626 * * [simplify]: Extracting #2: cost 15 inf + 3 55.626 * * [simplify]: Extracting #3: cost 11 inf + 131 55.626 * * [simplify]: Extracting #4: cost 2 inf + 711 55.626 * * [simplify]: Extracting #5: cost 0 inf + 836 55.627 * [simplify]: Simplified to (- 1/4 (/ k 4)) 55.627 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) 1)) (- 1/4 (/ k 4)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.627 * * * * [progress]: [ 136 / 234 ] simplifiying candidate # 55.627 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) 55.627 * * [simplify]: iters left: 6 (9 enodes) 55.630 * * [simplify]: iters left: 5 (36 enodes) 55.636 * * [simplify]: iters left: 4 (58 enodes) 55.645 * * [simplify]: iters left: 3 (71 enodes) 55.659 * * [simplify]: iters left: 2 (79 enodes) 55.683 * * [simplify]: iters left: 1 (80 enodes) 55.702 * * [simplify]: Extracting #0: cost 1 inf + 0 55.703 * * [simplify]: Extracting #1: cost 9 inf + 0 55.703 * * [simplify]: Extracting #2: cost 24 inf + 0 55.703 * * [simplify]: Extracting #3: cost 29 inf + 2 55.703 * * [simplify]: Extracting #4: cost 10 inf + 2233 55.704 * * [simplify]: Extracting #5: cost 1 inf + 4013 55.704 * * [simplify]: Extracting #6: cost 0 inf + 4135 55.705 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 55.705 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.705 * * * * [progress]: [ 137 / 234 ] simplifiying candidate # 55.705 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) 55.705 * * [simplify]: iters left: 6 (10 enodes) 55.709 * * [simplify]: iters left: 5 (39 enodes) 55.716 * * [simplify]: iters left: 4 (64 enodes) 55.726 * * [simplify]: iters left: 3 (86 enodes) 55.742 * * [simplify]: iters left: 2 (99 enodes) 55.767 * * [simplify]: iters left: 1 (104 enodes) 55.785 * * [simplify]: Extracting #0: cost 1 inf + 0 55.785 * * [simplify]: Extracting #1: cost 11 inf + 0 55.785 * * [simplify]: Extracting #2: cost 31 inf + 0 55.785 * * [simplify]: Extracting #3: cost 39 inf + 2 55.785 * * [simplify]: Extracting #4: cost 22 inf + 1871 55.786 * * [simplify]: Extracting #5: cost 4 inf + 4865 55.788 * * [simplify]: Extracting #6: cost 0 inf + 5675 55.790 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 55.790 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.791 * * * * [progress]: [ 138 / 234 ] simplifiying candidate # 55.791 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) 55.791 * * [simplify]: iters left: 6 (9 enodes) 55.797 * * [simplify]: iters left: 5 (36 enodes) 55.809 * * [simplify]: iters left: 4 (61 enodes) 55.827 * * [simplify]: iters left: 3 (84 enodes) 55.841 * * [simplify]: iters left: 2 (96 enodes) 55.854 * * [simplify]: iters left: 1 (100 enodes) 55.875 * * [simplify]: Extracting #0: cost 1 inf + 0 55.876 * * [simplify]: Extracting #1: cost 11 inf + 0 55.876 * * [simplify]: Extracting #2: cost 27 inf + 82 55.876 * * [simplify]: Extracting #3: cost 29 inf + 651 55.877 * * [simplify]: Extracting #4: cost 12 inf + 2763 55.878 * * [simplify]: Extracting #5: cost 1 inf + 4587 55.880 * * [simplify]: Extracting #6: cost 0 inf + 4710 55.881 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 55.881 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.881 * * * * [progress]: [ 139 / 234 ] simplifiying candidate # 55.882 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) 55.882 * * [simplify]: iters left: 6 (10 enodes) 55.886 * * [simplify]: iters left: 5 (39 enodes) 55.897 * * [simplify]: iters left: 4 (64 enodes) 55.917 * * [simplify]: iters left: 3 (86 enodes) 55.935 * * [simplify]: iters left: 2 (99 enodes) 55.948 * * [simplify]: iters left: 1 (104 enodes) 55.969 * * [simplify]: Extracting #0: cost 1 inf + 0 55.969 * * [simplify]: Extracting #1: cost 11 inf + 0 55.969 * * [simplify]: Extracting #2: cost 31 inf + 0 55.969 * * [simplify]: Extracting #3: cost 39 inf + 2 55.969 * * [simplify]: Extracting #4: cost 22 inf + 1831 55.971 * * [simplify]: Extracting #5: cost 4 inf + 4785 55.973 * * [simplify]: Extracting #6: cost 0 inf + 5595 55.975 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 55.975 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.975 * * * * [progress]: [ 140 / 234 ] simplifiying candidate # 55.975 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 55.975 * * [simplify]: iters left: 6 (9 enodes) 55.981 * * [simplify]: iters left: 5 (36 enodes) 55.993 * * [simplify]: iters left: 4 (57 enodes) 56.011 * * [simplify]: iters left: 3 (73 enodes) 56.030 * * [simplify]: iters left: 2 (80 enodes) 56.041 * * [simplify]: iters left: 1 (81 enodes) 56.051 * * [simplify]: Extracting #0: cost 1 inf + 0 56.051 * * [simplify]: Extracting #1: cost 9 inf + 0 56.052 * * [simplify]: Extracting #2: cost 18 inf + 43 56.052 * * [simplify]: Extracting #3: cost 23 inf + 85 56.052 * * [simplify]: Extracting #4: cost 9 inf + 1271 56.053 * * [simplify]: Extracting #5: cost 0 inf + 2370 56.054 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 56.054 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.054 * * * * [progress]: [ 141 / 234 ] simplifiying candidate # 56.055 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) 56.055 * * [simplify]: iters left: 6 (9 enodes) 56.060 * * [simplify]: iters left: 5 (36 enodes) 56.070 * * [simplify]: iters left: 4 (61 enodes) 56.080 * * [simplify]: iters left: 3 (84 enodes) 56.092 * * [simplify]: iters left: 2 (96 enodes) 56.112 * * [simplify]: iters left: 1 (100 enodes) 56.141 * * [simplify]: Extracting #0: cost 1 inf + 0 56.141 * * [simplify]: Extracting #1: cost 11 inf + 0 56.141 * * [simplify]: Extracting #2: cost 27 inf + 42 56.142 * * [simplify]: Extracting #3: cost 29 inf + 411 56.142 * * [simplify]: Extracting #4: cost 12 inf + 2163 56.144 * * [simplify]: Extracting #5: cost 1 inf + 3707 56.145 * * [simplify]: Extracting #6: cost 0 inf + 3830 56.147 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 56.147 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.147 * * * * [progress]: [ 142 / 234 ] simplifiying candidate # 56.148 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) 56.148 * * [simplify]: iters left: 6 (9 enodes) 56.153 * * [simplify]: iters left: 5 (36 enodes) 56.167 * * [simplify]: iters left: 4 (62 enodes) 56.185 * * [simplify]: iters left: 3 (78 enodes) 56.206 * * [simplify]: iters left: 2 (90 enodes) 56.229 * * [simplify]: iters left: 1 (94 enodes) 56.246 * * [simplify]: Extracting #0: cost 1 inf + 0 56.246 * * [simplify]: Extracting #1: cost 11 inf + 0 56.247 * * [simplify]: Extracting #2: cost 27 inf + 1 56.247 * * [simplify]: Extracting #3: cost 29 inf + 409 56.247 * * [simplify]: Extracting #4: cost 12 inf + 2359 56.248 * * [simplify]: Extracting #5: cost 2 inf + 4022 56.248 * * [simplify]: Extracting #6: cost 0 inf + 4466 56.249 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 56.249 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.249 * * * * [progress]: [ 143 / 234 ] simplifiying candidate # 56.249 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) 56.249 * * [simplify]: iters left: 6 (9 enodes) 56.253 * * [simplify]: iters left: 5 (36 enodes) 56.260 * * [simplify]: iters left: 4 (62 enodes) 56.272 * * [simplify]: iters left: 3 (78 enodes) 56.284 * * [simplify]: iters left: 2 (90 enodes) 56.297 * * [simplify]: iters left: 1 (94 enodes) 56.310 * * [simplify]: Extracting #0: cost 1 inf + 0 56.310 * * [simplify]: Extracting #1: cost 11 inf + 0 56.310 * * [simplify]: Extracting #2: cost 27 inf + 1 56.310 * * [simplify]: Extracting #3: cost 29 inf + 249 56.310 * * [simplify]: Extracting #4: cost 12 inf + 1879 56.311 * * [simplify]: Extracting #5: cost 2 inf + 3302 56.312 * * [simplify]: Extracting #6: cost 0 inf + 3666 56.313 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 56.313 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.313 * * * * [progress]: [ 144 / 234 ] simplifiying candidate # 56.313 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) 56.313 * * [simplify]: iters left: 6 (8 enodes) 56.316 * * [simplify]: iters left: 5 (34 enodes) 56.323 * * [simplify]: iters left: 4 (58 enodes) 56.332 * * [simplify]: iters left: 3 (65 enodes) 56.341 * * [simplify]: Extracting #0: cost 1 inf + 0 56.341 * * [simplify]: Extracting #1: cost 8 inf + 0 56.341 * * [simplify]: Extracting #2: cost 14 inf + 3 56.341 * * [simplify]: Extracting #3: cost 17 inf + 5 56.341 * * [simplify]: Extracting #4: cost 12 inf + 292 56.341 * * [simplify]: Extracting #5: cost 1 inf + 1355 56.341 * * [simplify]: Extracting #6: cost 0 inf + 1478 56.342 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4) 56.342 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.342 * * * * [progress]: [ 145 / 234 ] simplifiying candidate # 56.342 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) 56.342 * * [simplify]: iters left: 6 (8 enodes) 56.345 * * [simplify]: iters left: 5 (33 enodes) 56.354 * * [simplify]: iters left: 4 (52 enodes) 56.363 * * [simplify]: iters left: 3 (62 enodes) 56.372 * * [simplify]: iters left: 2 (67 enodes) 56.382 * * [simplify]: Extracting #0: cost 1 inf + 0 56.382 * * [simplify]: Extracting #1: cost 9 inf + 0 56.382 * * [simplify]: Extracting #2: cost 23 inf + 0 56.382 * * [simplify]: Extracting #3: cost 24 inf + 285 56.382 * * [simplify]: Extracting #4: cost 18 inf + 975 56.383 * * [simplify]: Extracting #5: cost 7 inf + 2516 56.383 * * [simplify]: Extracting #6: cost 0 inf + 3891 56.384 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 56.384 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.384 * * * * [progress]: [ 146 / 234 ] simplifiying candidate # 56.384 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) 56.385 * * [simplify]: iters left: 6 (9 enodes) 56.388 * * [simplify]: iters left: 5 (36 enodes) 56.394 * * [simplify]: iters left: 4 (58 enodes) 56.404 * * [simplify]: iters left: 3 (75 enodes) 56.416 * * [simplify]: iters left: 2 (87 enodes) 56.429 * * [simplify]: iters left: 1 (91 enodes) 56.444 * * [simplify]: Extracting #0: cost 1 inf + 0 56.444 * * [simplify]: Extracting #1: cost 11 inf + 0 56.445 * * [simplify]: Extracting #2: cost 30 inf + 0 56.445 * * [simplify]: Extracting #3: cost 36 inf + 83 56.445 * * [simplify]: Extracting #4: cost 30 inf + 451 56.445 * * [simplify]: Extracting #5: cost 10 inf + 3649 56.446 * * [simplify]: Extracting #6: cost 0 inf + 5431 56.447 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 56.447 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.447 * * * * [progress]: [ 147 / 234 ] simplifiying candidate # 56.447 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) 56.447 * * [simplify]: iters left: 6 (8 enodes) 56.450 * * [simplify]: iters left: 5 (33 enodes) 56.457 * * [simplify]: iters left: 4 (55 enodes) 56.466 * * [simplify]: iters left: 3 (73 enodes) 56.480 * * [simplify]: iters left: 2 (84 enodes) 56.503 * * [simplify]: iters left: 1 (87 enodes) 56.522 * * [simplify]: Extracting #0: cost 1 inf + 0 56.522 * * [simplify]: Extracting #1: cost 11 inf + 0 56.523 * * [simplify]: Extracting #2: cost 25 inf + 203 56.523 * * [simplify]: Extracting #3: cost 29 inf + 407 56.523 * * [simplify]: Extracting #4: cost 24 inf + 896 56.523 * * [simplify]: Extracting #5: cost 9 inf + 2805 56.524 * * [simplify]: Extracting #6: cost 0 inf + 4466 56.525 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 56.525 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.525 * * * * [progress]: [ 148 / 234 ] simplifiying candidate # 56.525 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) 56.525 * * [simplify]: iters left: 6 (9 enodes) 56.528 * * [simplify]: iters left: 5 (36 enodes) 56.535 * * [simplify]: iters left: 4 (58 enodes) 56.548 * * [simplify]: iters left: 3 (75 enodes) 56.560 * * [simplify]: iters left: 2 (87 enodes) 56.584 * * [simplify]: iters left: 1 (91 enodes) 56.609 * * [simplify]: Extracting #0: cost 1 inf + 0 56.609 * * [simplify]: Extracting #1: cost 11 inf + 0 56.609 * * [simplify]: Extracting #2: cost 30 inf + 0 56.609 * * [simplify]: Extracting #3: cost 36 inf + 43 56.610 * * [simplify]: Extracting #4: cost 30 inf + 451 56.611 * * [simplify]: Extracting #5: cost 10 inf + 3769 56.612 * * [simplify]: Extracting #6: cost 0 inf + 5431 56.614 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 56.614 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.614 * * * * [progress]: [ 149 / 234 ] simplifiying candidate # 56.615 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 56.615 * * [simplify]: iters left: 6 (8 enodes) 56.620 * * [simplify]: iters left: 5 (33 enodes) 56.631 * * [simplify]: iters left: 4 (51 enodes) 56.646 * * [simplify]: iters left: 3 (59 enodes) 56.663 * * [simplify]: Extracting #0: cost 1 inf + 0 56.663 * * [simplify]: Extracting #1: cost 8 inf + 0 56.663 * * [simplify]: Extracting #2: cost 15 inf + 43 56.663 * * [simplify]: Extracting #3: cost 19 inf + 85 56.663 * * [simplify]: Extracting #4: cost 16 inf + 250 56.663 * * [simplify]: Extracting #5: cost 5 inf + 1311 56.664 * * [simplify]: Extracting #6: cost 0 inf + 1962 56.665 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 56.665 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.665 * * * * [progress]: [ 150 / 234 ] simplifiying candidate # 56.666 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) 56.666 * * [simplify]: iters left: 6 (8 enodes) 56.673 * * [simplify]: iters left: 5 (33 enodes) 56.679 * * [simplify]: iters left: 4 (55 enodes) 56.688 * * [simplify]: iters left: 3 (73 enodes) 56.700 * * [simplify]: iters left: 2 (84 enodes) 56.722 * * [simplify]: iters left: 1 (87 enodes) 56.734 * * [simplify]: Extracting #0: cost 1 inf + 0 56.735 * * [simplify]: Extracting #1: cost 11 inf + 0 56.735 * * [simplify]: Extracting #2: cost 25 inf + 123 56.735 * * [simplify]: Extracting #3: cost 29 inf + 247 56.735 * * [simplify]: Extracting #4: cost 24 inf + 576 56.735 * * [simplify]: Extracting #5: cost 9 inf + 2245 56.736 * * [simplify]: Extracting #6: cost 0 inf + 3666 56.737 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 56.737 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.737 * * * * [progress]: [ 151 / 234 ] simplifiying candidate # 56.737 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) 56.737 * * [simplify]: iters left: 6 (8 enodes) 56.740 * * [simplify]: iters left: 5 (34 enodes) 56.747 * * [simplify]: iters left: 4 (54 enodes) 56.756 * * [simplify]: iters left: 3 (67 enodes) 56.778 * * [simplify]: iters left: 2 (80 enodes) 56.801 * * [simplify]: iters left: 1 (87 enodes) 56.824 * * [simplify]: Extracting #0: cost 1 inf + 0 56.824 * * [simplify]: Extracting #1: cost 11 inf + 0 56.824 * * [simplify]: Extracting #2: cost 25 inf + 203 56.824 * * [simplify]: Extracting #3: cost 26 inf + 773 56.824 * * [simplify]: Extracting #4: cost 24 inf + 896 56.825 * * [simplify]: Extracting #5: cost 8 inf + 3127 56.827 * * [simplify]: Extracting #6: cost 0 inf + 4466 56.828 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 56.828 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.829 * * * * [progress]: [ 152 / 234 ] simplifiying candidate # 56.829 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) 56.829 * * [simplify]: iters left: 6 (8 enodes) 56.834 * * [simplify]: iters left: 5 (34 enodes) 56.847 * * [simplify]: iters left: 4 (54 enodes) 56.864 * * [simplify]: iters left: 3 (67 enodes) 56.883 * * [simplify]: iters left: 2 (80 enodes) 56.906 * * [simplify]: iters left: 1 (87 enodes) 56.933 * * [simplify]: Extracting #0: cost 1 inf + 0 56.933 * * [simplify]: Extracting #1: cost 11 inf + 0 56.934 * * [simplify]: Extracting #2: cost 25 inf + 123 56.934 * * [simplify]: Extracting #3: cost 26 inf + 493 56.934 * * [simplify]: Extracting #4: cost 24 inf + 576 56.935 * * [simplify]: Extracting #5: cost 8 inf + 2527 56.936 * * [simplify]: Extracting #6: cost 0 inf + 3666 56.938 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 56.938 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.938 * * * * [progress]: [ 153 / 234 ] simplifiying candidate # 56.939 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2) 56.939 * * [simplify]: iters left: 6 (7 enodes) 56.944 * * [simplify]: iters left: 5 (32 enodes) 56.951 * * [simplify]: iters left: 4 (50 enodes) 56.959 * * [simplify]: iters left: 3 (54 enodes) 56.967 * * [simplify]: Extracting #0: cost 1 inf + 0 56.967 * * [simplify]: Extracting #1: cost 8 inf + 0 56.967 * * [simplify]: Extracting #2: cost 13 inf + 3 56.967 * * [simplify]: Extracting #3: cost 15 inf + 5 56.967 * * [simplify]: Extracting #4: cost 14 inf + 6 56.967 * * [simplify]: Extracting #5: cost 4 inf + 825 56.967 * * [simplify]: Extracting #6: cost 0 inf + 1234 56.968 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4)) 56.968 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.968 * * * * [progress]: [ 154 / 234 ] simplifiying candidate # 56.968 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 56.968 * * [simplify]: iters left: 6 (7 enodes) 56.971 * * [simplify]: iters left: 5 (30 enodes) 56.977 * * [simplify]: iters left: 4 (49 enodes) 56.992 * * [simplify]: iters left: 3 (59 enodes) 57.001 * * [simplify]: iters left: 2 (64 enodes) 57.010 * * [simplify]: Extracting #0: cost 1 inf + 0 57.010 * * [simplify]: Extracting #1: cost 9 inf + 0 57.010 * * [simplify]: Extracting #2: cost 23 inf + 0 57.011 * * [simplify]: Extracting #3: cost 24 inf + 3 57.011 * * [simplify]: Extracting #4: cost 15 inf + 980 57.011 * * [simplify]: Extracting #5: cost 1 inf + 3007 57.012 * * [simplify]: Extracting #6: cost 0 inf + 3169 57.012 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 57.012 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.012 * * * * [progress]: [ 155 / 234 ] simplifiying candidate # 57.013 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 57.013 * * [simplify]: iters left: 6 (8 enodes) 57.016 * * [simplify]: iters left: 5 (33 enodes) 57.025 * * [simplify]: iters left: 4 (55 enodes) 57.048 * * [simplify]: iters left: 3 (72 enodes) 57.069 * * [simplify]: iters left: 2 (84 enodes) 57.086 * * [simplify]: iters left: 1 (88 enodes) 57.098 * * [simplify]: Extracting #0: cost 1 inf + 0 57.098 * * [simplify]: Extracting #1: cost 11 inf + 0 57.098 * * [simplify]: Extracting #2: cost 30 inf + 0 57.098 * * [simplify]: Extracting #3: cost 33 inf + 84 57.098 * * [simplify]: Extracting #4: cost 12 inf + 2402 57.099 * * [simplify]: Extracting #5: cost 0 inf + 4469 57.100 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 57.100 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.100 * * * * [progress]: [ 156 / 234 ] simplifiying candidate # 57.101 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 57.101 * * [simplify]: iters left: 6 (7 enodes) 57.103 * * [simplify]: iters left: 5 (30 enodes) 57.109 * * [simplify]: iters left: 4 (52 enodes) 57.118 * * [simplify]: iters left: 3 (70 enodes) 57.129 * * [simplify]: iters left: 2 (81 enodes) 57.145 * * [simplify]: iters left: 1 (84 enodes) 57.166 * * [simplify]: Extracting #0: cost 1 inf + 0 57.166 * * [simplify]: Extracting #1: cost 11 inf + 0 57.166 * * [simplify]: Extracting #2: cost 25 inf + 203 57.167 * * [simplify]: Extracting #3: cost 25 inf + 530 57.168 * * [simplify]: Extracting #4: cost 4 inf + 2936 57.169 * * [simplify]: Extracting #5: cost 0 inf + 3504 57.170 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 57.170 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.170 * * * * [progress]: [ 157 / 234 ] simplifiying candidate # 57.171 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 57.171 * * [simplify]: iters left: 6 (8 enodes) 57.177 * * [simplify]: iters left: 5 (33 enodes) 57.189 * * [simplify]: iters left: 4 (55 enodes) 57.207 * * [simplify]: iters left: 3 (72 enodes) 57.229 * * [simplify]: iters left: 2 (84 enodes) 57.252 * * [simplify]: iters left: 1 (88 enodes) 57.276 * * [simplify]: Extracting #0: cost 1 inf + 0 57.276 * * [simplify]: Extracting #1: cost 11 inf + 0 57.276 * * [simplify]: Extracting #2: cost 30 inf + 0 57.276 * * [simplify]: Extracting #3: cost 33 inf + 44 57.277 * * [simplify]: Extracting #4: cost 12 inf + 2362 57.278 * * [simplify]: Extracting #5: cost 0 inf + 4469 57.280 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 57.280 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.280 * * * * [progress]: [ 158 / 234 ] simplifiying candidate # 57.280 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 57.280 * * [simplify]: iters left: 6 (7 enodes) 57.285 * * [simplify]: iters left: 5 (30 enodes) 57.300 * * [simplify]: iters left: 4 (48 enodes) 57.315 * * [simplify]: iters left: 3 (56 enodes) 57.331 * * [simplify]: Extracting #0: cost 1 inf + 0 57.331 * * [simplify]: Extracting #1: cost 8 inf + 0 57.331 * * [simplify]: Extracting #2: cost 15 inf + 43 57.332 * * [simplify]: Extracting #3: cost 16 inf + 86 57.332 * * [simplify]: Extracting #4: cost 5 inf + 911 57.332 * * [simplify]: Extracting #5: cost 1 inf + 1198 57.333 * * [simplify]: Extracting #6: cost 0 inf + 1320 57.334 * [simplify]: Simplified to (/ (- 1 k) 2) 57.334 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.334 * * * * [progress]: [ 159 / 234 ] simplifiying candidate # 57.334 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 57.335 * * [simplify]: iters left: 6 (7 enodes) 57.339 * * [simplify]: iters left: 5 (30 enodes) 57.350 * * [simplify]: iters left: 4 (52 enodes) 57.366 * * [simplify]: iters left: 3 (70 enodes) 57.388 * * [simplify]: iters left: 2 (81 enodes) 57.410 * * [simplify]: iters left: 1 (84 enodes) 57.432 * * [simplify]: Extracting #0: cost 1 inf + 0 57.433 * * [simplify]: Extracting #1: cost 11 inf + 0 57.433 * * [simplify]: Extracting #2: cost 25 inf + 123 57.433 * * [simplify]: Extracting #3: cost 25 inf + 330 57.434 * * [simplify]: Extracting #4: cost 4 inf + 2256 57.435 * * [simplify]: Extracting #5: cost 0 inf + 2704 57.436 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 57.436 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.436 * * * * [progress]: [ 160 / 234 ] simplifiying candidate # 57.437 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 57.437 * * [simplify]: iters left: 6 (7 enodes) 57.442 * * [simplify]: iters left: 5 (31 enodes) 57.457 * * [simplify]: iters left: 4 (51 enodes) 57.474 * * [simplify]: iters left: 3 (64 enodes) 57.492 * * [simplify]: iters left: 2 (77 enodes) 57.515 * * [simplify]: iters left: 1 (84 enodes) 57.537 * * [simplify]: Extracting #0: cost 1 inf + 0 57.537 * * [simplify]: Extracting #1: cost 11 inf + 0 57.537 * * [simplify]: Extracting #2: cost 26 inf + 82 57.538 * * [simplify]: Extracting #3: cost 24 inf + 692 57.539 * * [simplify]: Extracting #4: cost 3 inf + 3057 57.540 * * [simplify]: Extracting #5: cost 0 inf + 3504 57.541 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 57.541 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.541 * * * * [progress]: [ 161 / 234 ] simplifiying candidate # 57.542 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 57.542 * * [simplify]: iters left: 6 (7 enodes) 57.547 * * [simplify]: iters left: 5 (31 enodes) 57.557 * * [simplify]: iters left: 4 (51 enodes) 57.573 * * [simplify]: iters left: 3 (64 enodes) 57.592 * * [simplify]: iters left: 2 (77 enodes) 57.619 * * [simplify]: iters left: 1 (84 enodes) 57.641 * * [simplify]: Extracting #0: cost 1 inf + 0 57.641 * * [simplify]: Extracting #1: cost 11 inf + 0 57.641 * * [simplify]: Extracting #2: cost 26 inf + 42 57.641 * * [simplify]: Extracting #3: cost 24 inf + 452 57.642 * * [simplify]: Extracting #4: cost 3 inf + 2337 57.643 * * [simplify]: Extracting #5: cost 0 inf + 2704 57.643 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 57.643 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.643 * * * * [progress]: [ 162 / 234 ] simplifiying candidate # 57.644 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 57.644 * * [simplify]: iters left: 6 (6 enodes) 57.646 * * [simplify]: iters left: 5 (29 enodes) 57.651 * * [simplify]: iters left: 4 (44 enodes) 57.658 * * [simplify]: iters left: 3 (50 enodes) 57.666 * * [simplify]: iters left: 2 (57 enodes) 57.675 * * [simplify]: Extracting #0: cost 1 inf + 0 57.675 * * [simplify]: Extracting #1: cost 9 inf + 0 57.675 * * [simplify]: Extracting #2: cost 15 inf + 3 57.675 * * [simplify]: Extracting #3: cost 11 inf + 131 57.675 * * [simplify]: Extracting #4: cost 2 inf + 711 57.676 * * [simplify]: Extracting #5: cost 0 inf + 836 57.676 * [simplify]: Simplified to (- 1/4 (/ k 4)) 57.676 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) 1)) (- 1/4 (/ k 4)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.676 * * * * [progress]: [ 163 / 234 ] simplifiying candidate # 57.676 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 57.676 * * [simplify]: iters left: 6 (7 enodes) 57.679 * * [simplify]: iters left: 5 (31 enodes) 57.691 * * [simplify]: iters left: 4 (51 enodes) 57.706 * * [simplify]: iters left: 3 (64 enodes) 57.716 * * [simplify]: iters left: 2 (77 enodes) 57.730 * * [simplify]: iters left: 1 (84 enodes) 57.744 * * [simplify]: Extracting #0: cost 1 inf + 0 57.745 * * [simplify]: Extracting #1: cost 11 inf + 0 57.745 * * [simplify]: Extracting #2: cost 26 inf + 82 57.745 * * [simplify]: Extracting #3: cost 24 inf + 692 57.746 * * [simplify]: Extracting #4: cost 3 inf + 3057 57.747 * * [simplify]: Extracting #5: cost 0 inf + 3504 57.748 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 57.748 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.749 * * * * [progress]: [ 164 / 234 ] simplifiying candidate # 57.749 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 57.749 * * [simplify]: iters left: 6 (7 enodes) 57.754 * * [simplify]: iters left: 5 (31 enodes) 57.765 * * [simplify]: iters left: 4 (51 enodes) 57.776 * * [simplify]: iters left: 3 (64 enodes) 57.787 * * [simplify]: iters left: 2 (77 enodes) 57.798 * * [simplify]: iters left: 1 (84 enodes) 57.810 * * [simplify]: Extracting #0: cost 1 inf + 0 57.810 * * [simplify]: Extracting #1: cost 11 inf + 0 57.810 * * [simplify]: Extracting #2: cost 26 inf + 42 57.810 * * [simplify]: Extracting #3: cost 24 inf + 452 57.811 * * [simplify]: Extracting #4: cost 3 inf + 2337 57.811 * * [simplify]: Extracting #5: cost 0 inf + 2704 57.812 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 57.812 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.812 * * * * [progress]: [ 165 / 234 ] simplifiying candidate # 57.812 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 57.812 * * [simplify]: iters left: 6 (6 enodes) 57.815 * * [simplify]: iters left: 5 (29 enodes) 57.823 * * [simplify]: iters left: 4 (44 enodes) 57.830 * * [simplify]: iters left: 3 (50 enodes) 57.838 * * [simplify]: iters left: 2 (57 enodes) 57.847 * * [simplify]: Extracting #0: cost 1 inf + 0 57.847 * * [simplify]: Extracting #1: cost 9 inf + 0 57.847 * * [simplify]: Extracting #2: cost 15 inf + 3 57.847 * * [simplify]: Extracting #3: cost 11 inf + 131 57.848 * * [simplify]: Extracting #4: cost 2 inf + 711 57.848 * * [simplify]: Extracting #5: cost 0 inf + 836 57.848 * [simplify]: Simplified to (- 1/4 (/ k 4)) 57.848 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (- 1/4 (/ k 4)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.848 * * * * [progress]: [ 166 / 234 ] simplifiying candidate # 57.848 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2)) 57.848 * * [simplify]: iters left: 4 (5 enodes) 57.851 * * [simplify]: iters left: 3 (20 enodes) 57.855 * * [simplify]: iters left: 2 (27 enodes) 57.860 * * [simplify]: iters left: 1 (29 enodes) 57.866 * * [simplify]: Extracting #0: cost 1 inf + 0 57.866 * * [simplify]: Extracting #1: cost 8 inf + 0 57.866 * * [simplify]: Extracting #2: cost 4 inf + 449 57.866 * * [simplify]: Extracting #3: cost 0 inf + 895 57.866 * [simplify]: Simplified to (/ 1/2 (cbrt 2)) 57.866 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.866 * * * * [progress]: [ 167 / 234 ] simplifiying candidate # 57.867 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2)) 57.867 * * [simplify]: iters left: 4 (5 enodes) 57.869 * * [simplify]: iters left: 3 (20 enodes) 57.873 * * [simplify]: iters left: 2 (27 enodes) 57.878 * * [simplify]: iters left: 1 (29 enodes) 57.883 * * [simplify]: Extracting #0: cost 1 inf + 0 57.883 * * [simplify]: Extracting #1: cost 8 inf + 0 57.883 * * [simplify]: Extracting #2: cost 4 inf + 289 57.883 * * [simplify]: Extracting #3: cost 0 inf + 575 57.883 * [simplify]: Simplified to (/ 1/2 (sqrt 2)) 57.883 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.883 * * * * [progress]: [ 168 / 234 ] simplifiying candidate # 57.884 * [simplify]: Simplifying (/ (/ 1 2) 2) 57.884 * * [simplify]: iters left: 4 (4 enodes) 57.887 * * [simplify]: iters left: 3 (19 enodes) 57.890 * * [simplify]: iters left: 2 (23 enodes) 57.894 * * [simplify]: Extracting #0: cost 1 inf + 0 57.894 * * [simplify]: Extracting #1: cost 0 inf + 1 57.894 * [simplify]: Simplified to 1/4 57.894 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 1)) 1/4)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.894 * * * * [progress]: [ 169 / 234 ] simplifiying candidate # 57.894 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 57.894 * * [simplify]: iters left: 6 (6 enodes) 57.897 * * [simplify]: iters left: 5 (29 enodes) 57.902 * * [simplify]: iters left: 4 (44 enodes) 57.917 * * [simplify]: iters left: 3 (50 enodes) 57.932 * * [simplify]: iters left: 2 (57 enodes) 57.949 * * [simplify]: Extracting #0: cost 1 inf + 0 57.949 * * [simplify]: Extracting #1: cost 9 inf + 0 57.949 * * [simplify]: Extracting #2: cost 15 inf + 3 57.949 * * [simplify]: Extracting #3: cost 11 inf + 131 57.949 * * [simplify]: Extracting #4: cost 2 inf + 711 57.950 * * [simplify]: Extracting #5: cost 0 inf + 836 57.950 * [simplify]: Simplified to (- 1/4 (/ k 4)) 57.950 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (- 1/4 (/ k 4)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.950 * * * * [progress]: [ 170 / 234 ] simplifiying candidate # 57.951 * [simplify]: Simplifying (/ 1 2) 57.951 * * [simplify]: iters left: 2 (3 enodes) 57.954 * * [simplify]: iters left: 1 (12 enodes) 57.959 * * [simplify]: Extracting #0: cost 1 inf + 0 57.959 * * [simplify]: Extracting #1: cost 0 inf + 1 57.959 * [simplify]: Simplified to 1/2 57.959 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.959 * * * * [progress]: [ 171 / 234 ] simplifiying candidate # 57.960 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) 57.960 * * [simplify]: iters left: 6 (9 enodes) 57.966 * * [simplify]: iters left: 5 (42 enodes) 57.980 * * [simplify]: iters left: 4 (70 enodes) 58.004 * * [simplify]: iters left: 3 (117 enodes) 58.050 * * [simplify]: iters left: 2 (232 enodes) 58.150 * * [simplify]: iters left: 1 (454 enodes) 58.418 * * [simplify]: Extracting #0: cost 1 inf + 0 58.418 * * [simplify]: Extracting #1: cost 25 inf + 0 58.418 * * [simplify]: Extracting #2: cost 104 inf + 1 58.419 * * [simplify]: Extracting #3: cost 174 inf + 94 58.420 * * [simplify]: Extracting #4: cost 157 inf + 2461 58.423 * * [simplify]: Extracting #5: cost 65 inf + 14842 58.429 * * [simplify]: Extracting #6: cost 25 inf + 35839 58.446 * * [simplify]: Extracting #7: cost 2 inf + 54310 58.465 * * [simplify]: Extracting #8: cost 0 inf + 55922 58.483 * * [simplify]: Extracting #9: cost 0 inf + 55540 58.501 * [simplify]: Simplified to (pow (* 2 PI) (- 1/4 (/ k 4))) 58.501 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (- 1/4 (/ k 4))) (pow n (/ (/ (- 1 k) 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 58.501 * * * * [progress]: [ 172 / 234 ] simplifiying candidate # 58.502 * * * * [progress]: [ 173 / 234 ] simplifiying candidate # 58.502 * * * * [progress]: [ 174 / 234 ] simplifiying candidate # 58.502 * * * * [progress]: [ 175 / 234 ] simplifiying candidate # 58.502 * * * * [progress]: [ 176 / 234 ] simplifiying candidate # 58.502 * * * * [progress]: [ 177 / 234 ] simplifiying candidate # 58.502 * * * * [progress]: [ 178 / 234 ] simplifiying candidate # 58.502 * * * * [progress]: [ 179 / 234 ] simplifiying candidate # 58.502 * * * * [progress]: [ 180 / 234 ] simplifiying candidate #real (real->posit16 (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))> 58.502 * * * * [progress]: [ 181 / 234 ] simplifiying candidate # 58.502 * * * * [progress]: [ 182 / 234 ] simplifiying candidate # 58.502 * * * * [progress]: [ 183 / 234 ] simplifiying candidate # 58.503 * [simplify]: Simplifying (* (* 2 PI) n) 58.503 * * [simplify]: iters left: 4 (5 enodes) 58.506 * * [simplify]: iters left: 3 (19 enodes) 58.512 * * [simplify]: iters left: 2 (27 enodes) 58.520 * * [simplify]: iters left: 1 (32 enodes) 58.528 * * [simplify]: Extracting #0: cost 1 inf + 0 58.528 * * [simplify]: Extracting #1: cost 8 inf + 0 58.528 * * [simplify]: Extracting #2: cost 7 inf + 45 58.529 * * [simplify]: Extracting #3: cost 0 inf + 421 58.529 * [simplify]: Simplified to (* (* 2 PI) n) 58.529 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) 1) (/ (/ (- 1 k) 2) 2)))) 58.529 * * * * [progress]: [ 184 / 234 ] simplifiying candidate # 58.530 * [simplify]: Simplifying (* (* 2 PI) n) 58.530 * * [simplify]: iters left: 4 (5 enodes) 58.533 * * [simplify]: iters left: 3 (19 enodes) 58.539 * * [simplify]: iters left: 2 (27 enodes) 58.552 * * [simplify]: iters left: 1 (32 enodes) 58.560 * * [simplify]: Extracting #0: cost 1 inf + 0 58.560 * * [simplify]: Extracting #1: cost 8 inf + 0 58.560 * * [simplify]: Extracting #2: cost 7 inf + 45 58.561 * * [simplify]: Extracting #3: cost 0 inf + 421 58.561 * [simplify]: Simplified to (* (* 2 PI) n) 58.561 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) 1) (/ (/ (- 1 k) 2) 2)))) 58.561 * * * * [progress]: [ 185 / 234 ] simplifiying candidate # 58.561 * * * * [progress]: [ 186 / 234 ] simplifiying candidate # 58.562 * [simplify]: Simplifying (+ (+ (log 2) (log PI)) (log n)) 58.562 * * [simplify]: iters left: 5 (8 enodes) 58.566 * * [simplify]: iters left: 4 (28 enodes) 58.575 * * [simplify]: iters left: 3 (36 enodes) 58.586 * * [simplify]: iters left: 2 (42 enodes) 58.597 * * [simplify]: Extracting #0: cost 1 inf + 0 58.597 * * [simplify]: Extracting #1: cost 8 inf + 0 58.597 * * [simplify]: Extracting #2: cost 17 inf + 0 58.597 * * [simplify]: Extracting #3: cost 13 inf + 74 58.597 * * [simplify]: Extracting #4: cost 6 inf + 1015 58.598 * * [simplify]: Extracting #5: cost 0 inf + 2107 58.598 * [simplify]: Simplified to (+ (log 2) (+ (log PI) (log n))) 58.598 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (exp (+ (log 2) (+ (log PI) (log n)))) (/ (/ (- 1 k) 2) 2)))) 58.599 * * * * [progress]: [ 187 / 234 ] simplifiying candidate # 58.599 * [simplify]: Simplifying (+ (log (* 2 PI)) (log n)) 58.599 * * [simplify]: iters left: 5 (7 enodes) 58.603 * * [simplify]: iters left: 4 (26 enodes) 58.612 * * [simplify]: iters left: 3 (35 enodes) 58.622 * * [simplify]: iters left: 2 (44 enodes) 58.634 * * [simplify]: Extracting #0: cost 1 inf + 0 58.634 * * [simplify]: Extracting #1: cost 8 inf + 0 58.634 * * [simplify]: Extracting #2: cost 18 inf + 0 58.635 * * [simplify]: Extracting #3: cost 15 inf + 74 58.635 * * [simplify]: Extracting #4: cost 6 inf + 918 58.635 * * [simplify]: Extracting #5: cost 0 inf + 1911 58.636 * [simplify]: Simplified to (+ (log (* 2 PI)) (log n)) 58.636 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (/ (- 1 k) 2) 2)))) 58.636 * * * * [progress]: [ 188 / 234 ] simplifiying candidate # 58.636 * * * * [progress]: [ 189 / 234 ] simplifiying candidate # 58.636 * * * * [progress]: [ 190 / 234 ] simplifiying candidate # 58.637 * [simplify]: Simplifying (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)) 58.637 * * [simplify]: iters left: 6 (11 enodes) 58.644 * * [simplify]: iters left: 5 (47 enodes) 58.666 * * [simplify]: iters left: 4 (115 enodes) 58.706 * * [simplify]: iters left: 3 (384 enodes) 59.040 * * [simplify]: Extracting #0: cost 1 inf + 0 59.040 * * [simplify]: Extracting #1: cost 102 inf + 0 59.042 * * [simplify]: Extracting #2: cost 263 inf + 1026 59.053 * * [simplify]: Extracting #3: cost 88 inf + 24284 59.072 * * [simplify]: Extracting #4: cost 2 inf + 40704 59.092 * * [simplify]: Extracting #5: cost 0 inf + 41008 59.112 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 59.112 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (/ (- 1 k) 2) 2)))) 59.112 * * * * [progress]: [ 191 / 234 ] simplifiying candidate # 59.112 * [simplify]: Simplifying (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)) 59.113 * * [simplify]: iters left: 6 (9 enodes) 59.125 * * [simplify]: iters left: 5 (45 enodes) 59.144 * * [simplify]: iters left: 4 (116 enodes) 59.207 * * [simplify]: iters left: 3 (371 enodes) 59.954 * * [simplify]: Extracting #0: cost 1 inf + 0 59.954 * * [simplify]: Extracting #1: cost 82 inf + 0 59.955 * * [simplify]: Extracting #2: cost 200 inf + 498 59.959 * * [simplify]: Extracting #3: cost 121 inf + 10421 59.976 * * [simplify]: Extracting #4: cost 5 inf + 33505 59.996 * * [simplify]: Extracting #5: cost 0 inf + 33849 60.018 * * [simplify]: Extracting #6: cost 0 inf + 33809 60.037 * [simplify]: Simplified to (* (* n PI) (* 8 (* (* n PI) (* n PI)))) 60.037 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (cbrt (* (* n PI) (* 8 (* (* n PI) (* n PI))))) (/ (/ (- 1 k) 2) 2)))) 60.038 * * * * [progress]: [ 192 / 234 ] simplifiying candidate # 60.038 * * * * [progress]: [ 193 / 234 ] simplifiying candidate # 60.038 * * * * [progress]: [ 194 / 234 ] simplifiying candidate # 60.038 * * * * [progress]: [ 195 / 234 ] simplifiying candidate # 60.038 * * * * [progress]: [ 196 / 234 ] simplifiying candidate # 60.038 * [simplify]: Simplifying (cbrt n) 60.038 * * [simplify]: iters left: 1 (2 enodes) 60.039 * * [simplify]: Extracting #0: cost 1 inf + 0 60.039 * * [simplify]: Extracting #1: cost 3 inf + 0 60.039 * * [simplify]: Extracting #2: cost 2 inf + 1 60.039 * * [simplify]: Extracting #3: cost 0 inf + 163 60.039 * [simplify]: Simplified to (cbrt n) 60.040 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (/ (- 1 k) 2) 2)))) 60.040 * * * * [progress]: [ 197 / 234 ] simplifiying candidate # 60.040 * [simplify]: Simplifying (sqrt n) 60.040 * * [simplify]: iters left: 1 (2 enodes) 60.041 * * [simplify]: Extracting #0: cost 1 inf + 0 60.041 * * [simplify]: Extracting #1: cost 3 inf + 0 60.041 * * [simplify]: Extracting #2: cost 2 inf + 1 60.041 * * [simplify]: Extracting #3: cost 0 inf + 83 60.041 * [simplify]: Simplified to (sqrt n) 60.041 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1 k) 2) 2)))) 60.042 * * * * [progress]: [ 198 / 234 ] simplifiying candidate # 60.042 * * * * [progress]: [ 199 / 234 ] simplifiying candidate # 60.042 * * * * [progress]: [ 200 / 234 ] simplifiying candidate #real (real->posit16 (* (* 2 PI) n))) (/ (/ (- 1 k) 2) 2))))> 60.042 * * * * [progress]: [ 201 / 234 ] simplifiying candidate # 60.042 * * * * [progress]: [ 202 / 234 ] simplifiying candidate # 60.042 * * * * [progress]: [ 203 / 234 ] simplifiying candidate # 60.042 * * * * [progress]: [ 204 / 234 ] simplifiying candidate # 60.042 * [simplify]: Simplifying (* (* 2 PI) n) 60.042 * * [simplify]: iters left: 4 (5 enodes) 60.045 * * [simplify]: iters left: 3 (19 enodes) 60.052 * * [simplify]: iters left: 2 (27 enodes) 60.061 * * [simplify]: iters left: 1 (32 enodes) 60.069 * * [simplify]: Extracting #0: cost 1 inf + 0 60.069 * * [simplify]: Extracting #1: cost 8 inf + 0 60.069 * * [simplify]: Extracting #2: cost 7 inf + 45 60.069 * * [simplify]: Extracting #3: cost 0 inf + 421 60.069 * [simplify]: Simplified to (* (* 2 PI) n) 60.070 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 60.070 * * * * [progress]: [ 205 / 234 ] simplifiying candidate # 60.070 * [simplify]: Simplifying (* (* 2 PI) n) 60.070 * * [simplify]: iters left: 4 (5 enodes) 60.073 * * [simplify]: iters left: 3 (19 enodes) 60.079 * * [simplify]: iters left: 2 (27 enodes) 60.088 * * [simplify]: iters left: 1 (32 enodes) 60.093 * * [simplify]: Extracting #0: cost 1 inf + 0 60.093 * * [simplify]: Extracting #1: cost 8 inf + 0 60.094 * * [simplify]: Extracting #2: cost 7 inf + 45 60.094 * * [simplify]: Extracting #3: cost 0 inf + 421 60.094 * [simplify]: Simplified to (* (* 2 PI) n) 60.094 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 60.094 * * * * [progress]: [ 206 / 234 ] simplifiying candidate # 60.094 * * * * [progress]: [ 207 / 234 ] simplifiying candidate # 60.094 * [simplify]: Simplifying (+ (+ (log 2) (log PI)) (log n)) 60.094 * * [simplify]: iters left: 5 (8 enodes) 60.097 * * [simplify]: iters left: 4 (28 enodes) 60.101 * * [simplify]: iters left: 3 (36 enodes) 60.107 * * [simplify]: iters left: 2 (42 enodes) 60.113 * * [simplify]: Extracting #0: cost 1 inf + 0 60.113 * * [simplify]: Extracting #1: cost 8 inf + 0 60.113 * * [simplify]: Extracting #2: cost 17 inf + 0 60.113 * * [simplify]: Extracting #3: cost 13 inf + 74 60.113 * * [simplify]: Extracting #4: cost 6 inf + 1015 60.113 * * [simplify]: Extracting #5: cost 0 inf + 2107 60.114 * [simplify]: Simplified to (+ (log 2) (+ (log PI) (log n))) 60.114 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (exp (+ (log 2) (+ (log PI) (log n)))) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 60.114 * * * * [progress]: [ 208 / 234 ] simplifiying candidate # 60.114 * [simplify]: Simplifying (+ (log (* 2 PI)) (log n)) 60.114 * * [simplify]: iters left: 5 (7 enodes) 60.116 * * [simplify]: iters left: 4 (26 enodes) 60.120 * * [simplify]: iters left: 3 (35 enodes) 60.127 * * [simplify]: iters left: 2 (44 enodes) 60.134 * * [simplify]: Extracting #0: cost 1 inf + 0 60.134 * * [simplify]: Extracting #1: cost 8 inf + 0 60.134 * * [simplify]: Extracting #2: cost 18 inf + 0 60.134 * * [simplify]: Extracting #3: cost 15 inf + 74 60.135 * * [simplify]: Extracting #4: cost 6 inf + 918 60.135 * * [simplify]: Extracting #5: cost 0 inf + 1911 60.136 * [simplify]: Simplified to (+ (log (* 2 PI)) (log n)) 60.136 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 60.136 * * * * [progress]: [ 209 / 234 ] simplifiying candidate # 60.136 * * * * [progress]: [ 210 / 234 ] simplifiying candidate # 60.136 * * * * [progress]: [ 211 / 234 ] simplifiying candidate # 60.137 * [simplify]: Simplifying (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)) 60.137 * * [simplify]: iters left: 6 (11 enodes) 60.144 * * [simplify]: iters left: 5 (47 enodes) 60.165 * * [simplify]: iters left: 4 (115 enodes) 60.214 * * [simplify]: iters left: 3 (384 enodes) 60.551 * * [simplify]: Extracting #0: cost 1 inf + 0 60.552 * * [simplify]: Extracting #1: cost 102 inf + 0 60.553 * * [simplify]: Extracting #2: cost 263 inf + 1026 60.561 * * [simplify]: Extracting #3: cost 88 inf + 24284 60.570 * * [simplify]: Extracting #4: cost 2 inf + 40704 60.582 * * [simplify]: Extracting #5: cost 0 inf + 41008 60.601 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 60.602 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 60.602 * * * * [progress]: [ 212 / 234 ] simplifiying candidate # 60.602 * [simplify]: Simplifying (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)) 60.602 * * [simplify]: iters left: 6 (9 enodes) 60.609 * * [simplify]: iters left: 5 (45 enodes) 60.627 * * [simplify]: iters left: 4 (116 enodes) 60.693 * * [simplify]: iters left: 3 (371 enodes) 60.996 * * [simplify]: Extracting #0: cost 1 inf + 0 60.996 * * [simplify]: Extracting #1: cost 82 inf + 0 60.997 * * [simplify]: Extracting #2: cost 200 inf + 498 61.000 * * [simplify]: Extracting #3: cost 121 inf + 10421 61.012 * * [simplify]: Extracting #4: cost 5 inf + 33505 61.032 * * [simplify]: Extracting #5: cost 0 inf + 33849 61.042 * * [simplify]: Extracting #6: cost 0 inf + 33809 61.052 * [simplify]: Simplified to (* (* n PI) (* 8 (* (* n PI) (* n PI)))) 61.052 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (cbrt (* (* n PI) (* 8 (* (* n PI) (* n PI))))) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 61.053 * * * * [progress]: [ 213 / 234 ] simplifiying candidate # 61.053 * * * * [progress]: [ 214 / 234 ] simplifiying candidate # 61.053 * * * * [progress]: [ 215 / 234 ] simplifiying candidate # 61.053 * * * * [progress]: [ 216 / 234 ] simplifiying candidate # 61.053 * * * * [progress]: [ 217 / 234 ] simplifiying candidate # 61.053 * [simplify]: Simplifying (cbrt n) 61.053 * * [simplify]: iters left: 1 (2 enodes) 61.054 * * [simplify]: Extracting #0: cost 1 inf + 0 61.054 * * [simplify]: Extracting #1: cost 3 inf + 0 61.054 * * [simplify]: Extracting #2: cost 2 inf + 1 61.054 * * [simplify]: Extracting #3: cost 0 inf + 163 61.054 * [simplify]: Simplified to (cbrt n) 61.054 * [simplify]: Simplified (2 1 2 1 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 61.054 * * * * [progress]: [ 218 / 234 ] simplifiying candidate # 61.054 * [simplify]: Simplifying (sqrt n) 61.054 * * [simplify]: iters left: 1 (2 enodes) 61.054 * * [simplify]: Extracting #0: cost 1 inf + 0 61.054 * * [simplify]: Extracting #1: cost 3 inf + 0 61.054 * * [simplify]: Extracting #2: cost 2 inf + 1 61.055 * * [simplify]: Extracting #3: cost 0 inf + 83 61.055 * [simplify]: Simplified to (sqrt n) 61.055 * [simplify]: Simplified (2 1 2 1 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 61.055 * * * * [progress]: [ 219 / 234 ] simplifiying candidate # 61.055 * * * * [progress]: [ 220 / 234 ] simplifiying candidate # 61.055 * * * * [progress]: [ 221 / 234 ] simplifiying candidate #real (real->posit16 (* (* 2 PI) n))) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))> 61.055 * * * * [progress]: [ 222 / 234 ] simplifiying candidate # 61.055 * * * * [progress]: [ 223 / 234 ] simplifiying candidate # 61.055 * [simplify]: Simplifying (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 61.055 * * [simplify]: iters left: 6 (37 enodes) 61.067 * * [simplify]: iters left: 5 (193 enodes) 61.128 * * [simplify]: Extracting #0: cost 1 inf + 0 61.128 * * [simplify]: Extracting #1: cost 22 inf + 0 61.128 * * [simplify]: Extracting #2: cost 104 inf + 1 61.129 * * [simplify]: Extracting #3: cost 170 inf + 88 61.129 * * [simplify]: Extracting #4: cost 195 inf + 509 61.132 * * [simplify]: Extracting #5: cost 136 inf + 15293 61.139 * * [simplify]: Extracting #6: cost 47 inf + 48666 61.156 * * [simplify]: Extracting #7: cost 3 inf + 79281 61.193 * * [simplify]: Extracting #8: cost 0 inf + 80934 61.226 * * [simplify]: Extracting #9: cost 0 inf + 80864 61.244 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4)))))))) 61.244 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4)))))))))) 61.244 * * * * [progress]: [ 224 / 234 ] simplifiying candidate # 61.244 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 61.244 * * [simplify]: iters left: 6 (15 enodes) 61.249 * * [simplify]: iters left: 5 (65 enodes) 61.261 * * [simplify]: iters left: 4 (123 enodes) 61.290 * * [simplify]: iters left: 3 (366 enodes) 61.440 * * [simplify]: Extracting #0: cost 1 inf + 0 61.441 * * [simplify]: Extracting #1: cost 37 inf + 0 61.441 * * [simplify]: Extracting #2: cost 212 inf + 143 61.446 * * [simplify]: Extracting #3: cost 347 inf + 1812 61.451 * * [simplify]: Extracting #4: cost 207 inf + 31167 61.464 * * [simplify]: Extracting #5: cost 25 inf + 82567 61.486 * * [simplify]: Extracting #6: cost 0 inf + 89048 61.503 * * [simplify]: Extracting #7: cost 0 inf + 88844 61.519 * * [simplify]: Extracting #8: cost 0 inf + 88842 61.553 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))) 61.553 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))))) 61.554 * * * * [progress]: [ 225 / 234 ] simplifiying candidate # 61.554 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 61.554 * * [simplify]: iters left: 6 (16 enodes) 61.565 * * [simplify]: iters left: 5 (67 enodes) 61.589 * * [simplify]: iters left: 4 (134 enodes) 61.635 * * [simplify]: iters left: 3 (412 enodes) 61.874 * * [simplify]: Extracting #0: cost 1 inf + 0 61.874 * * [simplify]: Extracting #1: cost 39 inf + 0 61.876 * * [simplify]: Extracting #2: cost 241 inf + 72 61.879 * * [simplify]: Extracting #3: cost 448 inf + 1069 61.889 * * [simplify]: Extracting #4: cost 308 inf + 32324 61.924 * * [simplify]: Extracting #5: cost 42 inf + 110073 61.949 * * [simplify]: Extracting #6: cost 0 inf + 122155 61.994 * * [simplify]: Extracting #7: cost 0 inf + 121985 62.038 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 62.038 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))))) 62.038 * * * * [progress]: [ 226 / 234 ] simplifiying candidate # 62.039 * [simplify]: Simplifying (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 62.039 * * [simplify]: iters left: 6 (37 enodes) 62.062 * * [simplify]: iters left: 5 (193 enodes) 62.140 * * [simplify]: Extracting #0: cost 1 inf + 0 62.141 * * [simplify]: Extracting #1: cost 22 inf + 0 62.141 * * [simplify]: Extracting #2: cost 104 inf + 1 62.141 * * [simplify]: Extracting #3: cost 170 inf + 88 62.142 * * [simplify]: Extracting #4: cost 195 inf + 509 62.144 * * [simplify]: Extracting #5: cost 136 inf + 15293 62.151 * * [simplify]: Extracting #6: cost 47 inf + 48666 62.170 * * [simplify]: Extracting #7: cost 3 inf + 79281 62.199 * * [simplify]: Extracting #8: cost 0 inf + 80934 62.218 * * [simplify]: Extracting #9: cost 0 inf + 80864 62.252 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4)))))))) 62.252 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 62.253 * * * * [progress]: [ 227 / 234 ] simplifiying candidate # 62.253 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 62.253 * * [simplify]: iters left: 6 (15 enodes) 62.263 * * [simplify]: iters left: 5 (65 enodes) 62.285 * * [simplify]: iters left: 4 (123 enodes) 62.332 * * [simplify]: iters left: 3 (366 enodes) 62.543 * * [simplify]: Extracting #0: cost 1 inf + 0 62.543 * * [simplify]: Extracting #1: cost 37 inf + 0 62.544 * * [simplify]: Extracting #2: cost 212 inf + 143 62.546 * * [simplify]: Extracting #3: cost 347 inf + 1812 62.556 * * [simplify]: Extracting #4: cost 207 inf + 31167 62.577 * * [simplify]: Extracting #5: cost 25 inf + 82567 62.593 * * [simplify]: Extracting #6: cost 0 inf + 89048 62.614 * * [simplify]: Extracting #7: cost 0 inf + 88844 62.630 * * [simplify]: Extracting #8: cost 0 inf + 88842 62.656 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))) 62.656 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 62.656 * * * * [progress]: [ 228 / 234 ] simplifiying candidate # 62.656 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 62.657 * * [simplify]: iters left: 6 (16 enodes) 62.667 * * [simplify]: iters left: 5 (67 enodes) 62.693 * * [simplify]: iters left: 4 (134 enodes) 62.754 * * [simplify]: iters left: 3 (412 enodes) 63.012 * * [simplify]: Extracting #0: cost 1 inf + 0 63.012 * * [simplify]: Extracting #1: cost 39 inf + 0 63.013 * * [simplify]: Extracting #2: cost 241 inf + 72 63.017 * * [simplify]: Extracting #3: cost 448 inf + 1069 63.028 * * [simplify]: Extracting #4: cost 308 inf + 32324 63.064 * * [simplify]: Extracting #5: cost 42 inf + 110073 63.090 * * [simplify]: Extracting #6: cost 0 inf + 122155 63.118 * * [simplify]: Extracting #7: cost 0 inf + 121985 63.157 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 63.157 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 63.157 * * * * [progress]: [ 229 / 234 ] simplifiying candidate # 63.157 * [simplify]: Simplifying (* 2 (* n PI)) 63.157 * * [simplify]: iters left: 4 (5 enodes) 63.161 * * [simplify]: iters left: 3 (19 enodes) 63.167 * * [simplify]: iters left: 2 (27 enodes) 63.175 * * [simplify]: iters left: 1 (32 enodes) 63.185 * * [simplify]: Extracting #0: cost 1 inf + 0 63.185 * * [simplify]: Extracting #1: cost 8 inf + 0 63.185 * * [simplify]: Extracting #2: cost 7 inf + 45 63.185 * * [simplify]: Extracting #3: cost 0 inf + 421 63.185 * [simplify]: Simplified to (* (* PI n) 2) 63.186 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))) 63.186 * * * * [progress]: [ 230 / 234 ] simplifiying candidate # 63.186 * [simplify]: Simplifying (* 2 (* n PI)) 63.186 * * [simplify]: iters left: 4 (5 enodes) 63.189 * * [simplify]: iters left: 3 (19 enodes) 63.195 * * [simplify]: iters left: 2 (27 enodes) 63.204 * * [simplify]: iters left: 1 (32 enodes) 63.212 * * [simplify]: Extracting #0: cost 1 inf + 0 63.212 * * [simplify]: Extracting #1: cost 8 inf + 0 63.212 * * [simplify]: Extracting #2: cost 7 inf + 45 63.212 * * [simplify]: Extracting #3: cost 0 inf + 421 63.212 * [simplify]: Simplified to (* (* PI n) 2) 63.212 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))) 63.213 * * * * [progress]: [ 231 / 234 ] simplifiying candidate # 63.213 * [simplify]: Simplifying (* 2 (* n PI)) 63.213 * * [simplify]: iters left: 4 (5 enodes) 63.216 * * [simplify]: iters left: 3 (19 enodes) 63.222 * * [simplify]: iters left: 2 (27 enodes) 63.231 * * [simplify]: iters left: 1 (32 enodes) 63.242 * * [simplify]: Extracting #0: cost 1 inf + 0 63.242 * * [simplify]: Extracting #1: cost 8 inf + 0 63.242 * * [simplify]: Extracting #2: cost 7 inf + 45 63.242 * * [simplify]: Extracting #3: cost 0 inf + 421 63.243 * [simplify]: Simplified to (* (* PI n) 2) 63.243 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))) 63.243 * * * * [progress]: [ 232 / 234 ] simplifiying candidate # 63.243 * [simplify]: Simplifying (* 2 (* n PI)) 63.243 * * [simplify]: iters left: 4 (5 enodes) 63.246 * * [simplify]: iters left: 3 (19 enodes) 63.253 * * [simplify]: iters left: 2 (27 enodes) 63.261 * * [simplify]: iters left: 1 (32 enodes) 63.269 * * [simplify]: Extracting #0: cost 1 inf + 0 63.269 * * [simplify]: Extracting #1: cost 8 inf + 0 63.269 * * [simplify]: Extracting #2: cost 7 inf + 45 63.269 * * [simplify]: Extracting #3: cost 0 inf + 421 63.270 * [simplify]: Simplified to (* (* PI n) 2) 63.270 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 63.270 * * * * [progress]: [ 233 / 234 ] simplifiying candidate # 63.270 * [simplify]: Simplifying (* 2 (* n PI)) 63.270 * * [simplify]: iters left: 4 (5 enodes) 63.273 * * [simplify]: iters left: 3 (19 enodes) 63.279 * * [simplify]: iters left: 2 (27 enodes) 63.287 * * [simplify]: iters left: 1 (32 enodes) 63.295 * * [simplify]: Extracting #0: cost 1 inf + 0 63.295 * * [simplify]: Extracting #1: cost 8 inf + 0 63.295 * * [simplify]: Extracting #2: cost 7 inf + 45 63.295 * * [simplify]: Extracting #3: cost 0 inf + 421 63.295 * [simplify]: Simplified to (* (* PI n) 2) 63.296 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 63.296 * * * * [progress]: [ 234 / 234 ] simplifiying candidate # 63.296 * [simplify]: Simplifying (* 2 (* n PI)) 63.296 * * [simplify]: iters left: 4 (5 enodes) 63.297 * * [simplify]: iters left: 3 (19 enodes) 63.300 * * [simplify]: iters left: 2 (27 enodes) 63.305 * * [simplify]: iters left: 1 (32 enodes) 63.312 * * [simplify]: Extracting #0: cost 1 inf + 0 63.313 * * [simplify]: Extracting #1: cost 8 inf + 0 63.313 * * [simplify]: Extracting #2: cost 7 inf + 45 63.313 * * [simplify]: Extracting #3: cost 0 inf + 421 63.313 * [simplify]: Simplified to (* (* PI n) 2) 63.313 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 63.314 * * * [progress]: adding candidates to table 66.732 * [progress]: [Phase 3 of 3] Extracting. 66.732 * * [regime]: Finding splitpoints for: (# # # # # # # #) 66.735 * * * [regime-changes]: Trying 3 branch expressions: (n (* (* 2 PI) n) k) 66.735 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 66.815 * * * * [regimes]: Trying to branch on (* (* 2 PI) n) from (# # # # # # # #) 66.913 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 67.013 * * * [regime]: Found split indices: #